derivative of -3*b + 0 + 0*b**5 + 0*b**3 + 0*b**2 + 0*b**6 - 2/21*b**7 - 1/6*b**4. What is the third derivative of u(d) wrt d?
-240*d**2
Let p(z) = 9*z**2 + 6*z. Let m(k) be the first derivative of -5*k**3/3 - 3*k**2/2 + 2. Let g(o) = 11*m(o) + 6*p(o). Find the second derivative of g(i) wrt i.
-2
Suppose 2*d - 6*d = 4, 3*x = -2*d + 43. Suppose -2*n - 3*n = -x. Find the second derivative of m - n*m**3 - 3*m + 5*m wrt m.
-18*m
Let l be (-1 + 1)/(1 - 0). What is the third derivative of 0*k**4 + l*k**4 - 6*k**5 + 8*k**5 + 3*k**2 wrt k?
120*k**2
Let z(o) be the second derivative of -4*o + 0 + 0*o**4 - 1/2*o**2 + 0*o**5 + 0*o**3 + 1/10*o**6. Differentiate z(r) wrt r.
12*r**3
Suppose 5*t + 21 = c + 2*t, 0 = c + 3*t + 9. What is the third derivative of -7*q**6 - 4*q + 3*q**6 + c*q**2 + 4*q wrt q?
-480*q**3
Let n(y) = y**2 + 5*y + 7. Let k(m) = -2*m**2 - 6*m - 8. Suppose -4*g = -17 - 3. Let x(h) = g*k(h) + 6*n(h). What is the first derivative of x(i) wrt i?
-8*i
Let f(k) be the second derivative of 2*k**3/3 - 7*k**2/2 - 6*k. Differentiate f(p) wrt p.
4
Let c(i) = 4*i**3 + 53*i**2 - 15*i - 3. Let z(s) = -7*s**3 - 105*s**2 + 31*s + 5. Let b(f) = 5*c(f) + 3*z(f). What is the second derivative of b(a) wrt a?
-6*a - 100
Let u(f) be the second derivative of f**3 + 0*f**4 - 3/10*f**5 + 0 + 0*f**2 - 7*f. Find the second derivative of u(m) wrt m.
-36*m
Let t = 9 - 6. Suppose w = t*w - 10. Find the third derivative of -2*c**5 - c**5 - 2*c**w - c**2 + 3*c**5 wrt c.
-120*c**2
Suppose 7 - 14 = -2*u + d, -3*u - d = -8. What is the second derivative of -7*b**3 + 2*b - 3*b + 11*b**u wrt b?
24*b
Let a(c) be the third derivative of c**6/10 - 13*c**3/6 + 5*c**2. What is the derivative of a(i) wrt i?
36*i**2
Let k(m) be the first derivative of m**6/120 + m**4/4 + 3*m**2/2 - 5. Let v(a) be the second derivative of k(a). What is the second derivative of v(z) wrt z?
6*z
Let n(q) be the third derivative of -q**6/12 - 9*q**5/20 - 26*q**2. What is the third derivative of n(d) wrt d?
-60
What is the second derivative of 10*c**4 + 51 - 51 + 10*c wrt c?
120*c**2
Let n(a) be the first derivative of 17*a**6/3 - 11*a**2/2 - 2*a + 15. What is the second derivative of n(p) wrt p?
680*p**3
Let g(s) be the third derivative of 0 + 1/105*s**7 + 1/20*s**5 - 4*s**2 + 0*s + 0*s**6 + 0*s**4 + 0*s**3. Find the third derivative of g(t) wrt t.
48*t
Let z = -47 - -142/3. Let q(w) be the first derivative of -w - 1 + 0*w**2 - z*w**3. What is the first derivative of q(b) wrt b?
-2*b
Let g(z) be the second derivative of -z**5/2 + z**4/6 + z. What is the third derivative of g(j) wrt j?
-60
Let t(n) be the second derivative of 0*n**3 - 5/12*n**4 + 0 - n + 3/2*n**2. What is the derivative of t(s) wrt s?
-10*s
Let m(t) be the first derivative of -41*t**5/5 + t**2 - 46. Find the second derivative of m(a) wrt a.
-492*a**2
Find the first derivative of -4*x**2 + 59*x - 10 - 59*x wrt x.
-8*x
Let t(l) be the first derivative of 6 + 0*l + 0*l**3 + 1/3*l**6 + 0*l**5 - 5/2*l**2 + 0*l**4. What is the second derivative of t(x) wrt x?
40*x**3
Let n(d) be the third derivative of 0*d**5 - 1/2*d**3 + 0*d + 2*d**2 + 0 + 0*d**6 + 0*d**4 + 1/105*d**7. Differentiate n(p) wrt p.
8*p**3
Let d(t) be the first derivative of -t**6/120 - 5*t**4/24 + t**2 + 1. Let h(a) be the second derivative of d(a). What is the second derivative of h(g) wrt g?
-6*g
Let t(c) be the third derivative of 0 + 0*c**5 + 2*c**2 + 0*c**4 + 1/6*c**3 - 1/60*c**6 + 0*c. Find the first derivative of t(n) wrt n.
-6*n**2
What is the first derivative of 20 - 5*y**2 + 10*y**2 + 14*y**2 wrt y?
38*y
Suppose 4*d - 24 = -2*d. Let w(i) be the second derivative of 1/3*i**3 + 0*i**2 + 0*i**d - 3/20*i**5 + 0 + i. What is the second derivative of w(o) wrt o?
-18*o
Let o = -4 - -10. What is the third derivative of l - l - 3*l**2 - 13*l**o + 10*l**6 wrt l?
-360*l**3
Let v(n) be the second derivative of n**7/2520 - n**6/144 - n**4/6 + n. Let p(w) be the third derivative of v(w). Find the second derivative of p(t) wrt t.
2
Suppose -4*n + 2*q = -q - 6, 2*n - 2*q - 2 = 0. Let z be ((-10)/(-3) - 0) + 50/75. What is the first derivative of n - 2*o**z + o**4 + 2*o**4 wrt o?
4*o**3
Let p(i) = i**2 - 3*i - 4. Let m be p(4). Differentiate m - 4 - y**2 + 2 - 3*y**2 wrt y.
-8*y
Let u(v) = v + 11. Let f be u(-10). Let l(n) = 3*n**2 - 2*n + 4. Let g(p) = p - 1. Let h(d) = f*l(d) + 4*g(d). Find the second derivative of h(a) wrt a.
6
Let n(j) = j**2 - j + 1. Let l be n(3). Suppose -3*b + 5 = -8*b, b + l = 2*a. What is the first derivative of a + 6*d - 6*d + 2*d - 1 wrt d?
2
Let s(g) = -14*g**4 - 7*g**3 + 6*g**2. Let i(m) = -5*m**4 - 2*m**3 + 2*m**2. Let d(z) = -7*i(z) + 2*s(z). Find the third derivative of d(w) wrt w.
168*w
Let w(v) be the first derivative of -3*v**4/4 + 21*v + 8. Differentiate w(k) wrt k.
-9*k**2
Let k(t) = -t**2 - 5*t - 4. Let i be k(-3). Find the third derivative of -2*n**i + n**2 + 5*n**3 - 5*n**2 wrt n.
30
Let w(n) = -7*n + 6. Let v(m) = -m**2 - 8*m - 2. Let f be v(-7). Let h(l) = 4*l - 3. Let j(g) = f*h(g) + 3*w(g). What is the first derivative of j(t) wrt t?
-1
Let n(g) be the second derivative of 19*g**6/30 + 27*g**2/2 - 7*g. Find the first derivative of n(o) wrt o.
76*o**3
Let l(q) = 1. Let x(c) = -5*c - 8. Let y(d) = -4*l(d) - 2*x(d). What is the derivative of y(n) wrt n?
10
Suppose -15 = 3*l, 0 = r - 0*l + l + 1. Find the first derivative of 0*m - r - m + 7 wrt m.
-1
Let s = 28 - 27. Let k(u) = -2*u**2 + 2 + 6*u**3 + 2*u + u - 5*u. Let z(x) = x**3 - x + 1. Let q(b) = s*k(b) - 2*z(b). Find the third derivative of q(a) wrt a.
24
Let q = -20 + 29. Let p = -5 + q. What is the first derivative of 2 + 3 - s**p - 1 wrt s?
-4*s**3
Let d(l) be the third derivative of l**9/168 + 7*l**5/60 - 11*l**2. What is the third derivative of d(q) wrt q?
360*q**3
Let m = -6 - -1. Let z(r) = r**4 + r**3 + r**2. Let b(d) = -4*d**4 - 5*d**3 - 6*d**2. Let p(h) = m*z(h) - b(h). What is the third derivative of p(u) wrt u?
-24*u
Let q(w) be the first derivative of -w - w**4 - 1 + 3 - 4 + 5*w. Differentiate q(v) with respect to v.
-12*v**2
Let a = -3 + 9. Let u(r) = -r. Let k be u(-2). Find the third derivative of -3*q**2 + 4*q**2 + q**a - 3*q**k wrt q.
120*q**3
Let q(i) = -3*i**2 - 14*i - 2. Let k(u) = -4*u**2 - 15*u - 3. Let a(m) = 2*k(m) - 3*q(m). What is the second derivative of a(c) wrt c?
2
Let r(d) = -4*d**2 - d + 3. Let o(c) = 9*c**2 + 3*c - 5. Let t(z) = -3*o(z) - 5*r(z). Find the second derivative of t(g) wrt g.
-14
Let c(q) be the third derivative of -1/35*q**7 + 0*q + 0*q**5 + 2/3*q**3 + 6*q**2 + 0*q**6 + 0*q**4 + 0. Differentiate c(z) wrt z.
-24*z**3
Let v(x) = 4*x**4 + 7*x**2 + 2*x - 2. Let c(i) = -8*i**4 - 14*i**2 - 5*i + 5. Let u(s) = -2*c(s) - 5*v(s). Find the third derivative of u(r) wrt r.
-96*r
Suppose 3*m = -3*k + 15, m - 10 - 7 = -4*k. Let b = k + -1. What is the third derivative of 4*v**3 + 3*v**2 + 4*v**3 - 4*v**b wrt v?
24
Find the third derivative of 6741 - 7*w**3 - 6741 + 6*w + 4*w**2 wrt w.
-42
Let g be -4*((-75)/6)/5. What is the second derivative of 5*m + g*m**3 - m - 3*m**3 - 6*m**3 wrt m?
6*m
Let v(t) be the second derivative of 3*t + 0*t**4 + 1/3*t**3 - 1/42*t**7 + 0*t**2 + 0 + 0*t**5 + 0*t**6. Find the second derivative of v(m) wrt m.
-20*m**3
Suppose 7 - 3 = u. Suppose -6*a + 4*a = -u. Find the first derivative of -a + 4 + h + 2 - 2 wrt h.
1
Let s(x) = x**3 + 5*x**2 + 5*x - 3. Let u be s(-4). Let z = -5 - u. What is the third derivative of 3*d**z - d**4 + d**4 + d**5 wrt d?
60*d**2
Find the first derivative of -10 - 2 - 18*s**2 - 7 + 0 wrt s.
-36*s
Let v(f) be the first derivative of -f**6/40 - 5*f**4/24 + f**2/2 - 1. Let l(a) be the second derivative of v(a). Find the second derivative of l(b) wrt b.
-18*b
Let y(r) be the third derivative of r**10/5040 - r**6/180 - r**3/6 + r**2. Let d(b) be the first derivative of y(b). What is the third derivative of d(m) wrt m?
120*m**3
Let l = 5 + -3. Differentiate l*o**2 + o**2 + 1 - o**2 + 0 wrt o.
4*o
Let r(b) = -b + 9. Let w be r(5). What is the third derivative of -4 - 7*d**w + 9*d**2 - 2 + 6 wrt d?
-168*d
Suppose 1 = -5*o + 16. Differentiate -3*m + 4 + 2*m - o + 2 with respect to m.
-1
Find the third derivative of 4*f - 4*f - 2*f**2 - 9*f**5 + 3*f**5 wrt f.
-360*f**2
Let c(q) be the first derivative of -q*


ve w*x - 18 - 4 = 0 for x.
2
Suppose -3*g - 4*w + 132 = 0, -103 - 42 = -4*g + 5*w. Let j be 3*(-1 + g/12). Solve 15 - 15 = j*x for x.
0
Suppose -24 = -2*i - 2*p, 24*i - 11 = 23*i - 2*p. Solve i*v = 21*v - 16 for v.
2
Let s(q) = q**2 - 5*q + 4. Let k be (-5)/4*(-20)/5. Let z be s(k). Let p be 3 + 7/((-91)/13). Solve 0 = -p*d + z*d - 10 for d.
5
Let h be (0 - 8/12) + 2/(-6). Let v be (-3)/2*(-1 + h*1). Suppose -2*z - v*z = p - 16, 5*z - 36 = 4*p. Solve -z*x - x = -20 for x.
4
Let k be -18 + 12 + (0 - -5). Let b be 64/14 - (k + (-8)/(-14)). Solve -b*m = -8*m - 12 for m.
-4
Let v(m) = -70*m + 6884. Let s be v(98). Solve s*j + 2*j - 156 = 0 for j.
6
Let h = 123 + 52. Let k = 177 - h. Solve k = -s + 3 for s.
1
Suppose -5*q - 8 = -13*q. Suppose 4*c - w - 4 = 3*w, q = 4*c - 5*w. Solve c*g = 7*g + 3 for g.
-1
Suppose -11 = 2*l - 15. Suppose 2*z - 2*w - 4 = -2, l*z + w - 8 = 0. Suppose 0 = o + z*y - 14, -3*y + 3 = -5*o + 19. Solve o*i = 13 + 2 for i.
3
Let p be ((-5)/(-20))/(6/2064) + -3. Solve p*c = 71*c + 60 for c.
5
Let o(r) = 39*r**2 + 4*r + 10. Let q be o(3). Let c = q - 371. Solve 9*u = c*u for u.
0
Let f be (5 - 3)/2*4. Let c = 17078 - 17042. Solve c = -13*j + f*j for j.
-4
Let r be 5/(-1 - 14/(-4)). Let s = 1856 + -1853. Solve s*x - 15 = -r*x for x.
3
Suppose 0 = -4*a - 26*u + 10*u + 76, 4*u + 41 = 3*a. Solve a*y + 721 = -88*y for y.
-7
Let g(j) = -j**3 - 25*j**2 - 2*j - 47. Let y be g(-25). Solve -34 + 37 = y*u for u.
1
Let x = 138 - 137. Suppose -2*t = 2*s + x - 11, -2*t + 2*s + 10 = 0. Let b be 10/4*2*1. Solve 15 + b = t*m for m.
4
Let c(n) = -113*n - 449. Let r be c(-4). Solve r*f = -f - 14*f for f.
0
Let k(l) = -3 - 4*l**2 + 2*l**2 - 7 + 21*l. Suppose -15*h + 8 = -13*h + 3*y, 2*y = -5*h + 42. Let m be k(h). Solve 3*n = -m*n for n.
0
Suppose 2*u + 3*f - 2*f + 35 = 0, 70 = -5*u + f. Let j be u/(-30) + (-19)/(-2). Suppose 0 = -2*d + 6*i - i - 10, -5*d = -5*i + j. Solve -2*y - y + 3 = d for y.
1
Let h be ((-204)/(-34))/((-4)/(-6)) + -5. Solve -h = -12*r + 16*r for r.
-1
Suppose 8 = 215*b - 207*b. Solve 201*j + b = 200*j for j.
-1
Let j be -5 - (-7 - (-4 - -2)) - -2. Suppose l + c - 9 = 0, 0 = 2*l + 4*c + j - 24. Solve 0 = 4*q - 13 - l for q.
5
Let l be (-956)/12 + 2/3. Let v = l + 79. Solve -a - 1 + 0 = v for a.
-1
Let l(x) = -194*x - 985. Let c be l(-7). Solve 5*a - c + 373 = 0 for a.
0
Let v be (-16)/12*141/2. Let r = 151 + v. Let k be r/11 + 36/(-198). Solve 0 = -3*a - 1 - k for a.
-2
Suppose 0 = -0*v - 4*v - 5*j - 17, -4*v + 4*j = -28. Suppose 3*a + 12 = -4*k + 5, 0 = 2*a + 2*k + v. Solve a*y - 6*y = 12 for y.
-4
Suppose -198*b + 7443 + 3257 = -2764. Solve b = 786*w - 803*w for w.
-4
Suppose -853 = -3*t + 5*a, -2*t - a + 357 = -229. Suppose 7*p = t - 249. Let k(d) = -d**3 + 12*d**2 + 14*d - 9. Let n be k(13). Solve -n*r - p = -r for r.
-2
Suppose -13*s + 709 = 241. Solve 3*b + s = -9*b for b.
-3
Let z = 224 - 219. Suppose 15 = z*n + g, 0 = -3*n + 4*g + 1 + 8. Solve 1 = a + n for a.
-2
Let d be (-1 + 13/(-2))*4606/(-141). Let o = -233 + d. Solve 0 = -3*i - o + 6 for i.
-2
Let a be (-4)/8*(-1 + -3). Suppose 2*m - 2*u = 14 - 2, -2*u + 8 = a*m. Solve -7*f - 5*f = -m*f for f.
0
Let b be -10 + (-13 + 74 - 13). Solve -119*f = -100*f + b for f.
-2
Let y be -2 + -2 + -32 + 3. Let v be ((-1)/3)/(11/y). Solve -5*o + 6 = v for o.
1
Let c(k) = -3*k**2 - 86*k + 674. Let f be c(-35). Solve -4*z = f*z - 91 for z.
7
Let g = 4076 - 4009. Solve -66 + g = j for j.
1
Let m = 61 - 59. Suppose 3*b - 12 = 3*i, 7 = b + 4*i - m. Suppose 2*r + 2*r - b*p - 43 = 0, 4*r - 19 = -3*p. Solve -r = 5*c + 3 for c.
-2
Let i(r) = r**2 + 3*r. Let h be i(-4). Let y be 117/26*h/6. Suppose -g = 2*n - 7, y*g = 2*n + 7*g - 10. Solve 5*c = n*c + 8 for c.
4
Suppose 28*n - 122 = 74. Solve 11 = n*v - 38 for v.
7
Suppose -x - c = 374 - 380, 0 = 3*c - 18. Solve x = 10*d + d - 55 for d.
5
Suppose 1284 = -175*d + 3209. Suppose 3 + 27 = 2*q. Solve 0 = d*s - q*s - 12 for s.
-3
Let r = 1781 + -1767. Solve -46 = 8*s - r for s.
-4
Let k be (17 + -15)*2*1. Let u be (-39)/(-4) - (-1)/k. Suppose u = -c + 13. Solve -7 = c*d + 2 for d.
-3
Let m(z) = -z + 43. Let l be m(-21). Let y be 16/l*(-2 - 2)/(-1). Let w(i) = 5*i**3 - i + 1. Let x be w(y). Solve -x = -3*h + 4*h for h.
-5
Let w be -1*(-9)/15 - 766/10. Let t = w - -80. Suppose -4*b - 3*m + 36 = -2*m, -2*b - 3*m = -28. Solve -b = 4*a - t for a.
-1
Suppose -2*b + 719 = -4*z + 23, 3*z + 1357 = 4*b. Solve b*g - 5 = 333*g for g.
5
Suppose 7 = -5*i - 3*o, -3*i + 5*i + 9 = 5*o. Let h be ((-7)/1)/(3/6*i). Solve h*w - w + 24 = 0 for w.
-4
Let o(w) = -5*w - 18. Let h be o(-12). Suppose -79*r + 72*r = -h. Solve -l = l - r for l.
3
Suppose -4*a + 9*a + 165 = 0. Let v = 35 + a. Let g(j) = -j**3 - 6*j**2 + 4. Let h be g(-6). Solve 3*r - h = v for r.
2
Let v be 14 + 11/(154/4830). Solve -356*g + v*g = 18 for g.
6
Let z be 7 + 2/(0 + -2). Let x be (207/z)/(2/4). Let t = 71 - x. Solve -5 + 1 = t*h for h.
-2
Let o be (-623)/(-2) + (-12)/(-84)*7/(-2). Solve 303*t = o*t + 40 for t.
-5
Suppose -2*t = -5*p - 0*p - 18, -2*t = 5*p + 2. Let x(s) = 2*s + 22. Suppose -36 = 4*m + 5*c, 3*m + 3*c = -39 + 12. Let w be x(m). Solve -t = w*a + 4 for a.
-2
Let d(q) = -q - 131. Let n be d(26). Let u = n + 163. Solve -12 = u*v - 2*v for v.
-3
Suppose -2*p = -q - 34, -3*p - 6*q + 9*q = -42. Solve -p = 28*n - 48 for n.
1
Let j(q) = 3*q - 8. Let z be j(5). Suppose -4*r + 18 = 2*d + 2, -z = r - 5*d. Suppose -4*h + 26 = -3*y, y = -r*y - 8. Solve -h*g = 15 - 0 for g.
-3
Let b be (-1347)/7 - (-1)/7*3. Let j = -132 - b. Solve -2*p + j = 10*p for p.
5
Suppose 0 = 2*k + 3*k - 25. Let h(n) = -n**2 - 86*n - 1006. Let x be h(-72). Suppose 4*m + 3*v = 23, 0*m - 5*v - k = -x*m. Solve a = m - 0 for a.
5
Let c = -2132 + 2170. Solve 0 = c*l - 6*l + 192 for l.
-6
Let g(f) = 4*f**2 - 20*f + 8. Let r be g(5). Let q be (-42)/(-63) - r/(-6). Solve -q*b + 6*b + 16 = 0 for b.
-4
Let l(y) = -165*y + 5699. Let q be l(34). Solve -19*n + q = -25 for n.
6
Suppose -40*p = -6*p - 3842. Let l be ((-6)/(-21))/((-4)/(1 - p)). Solve -a - 12 = -l for a.
-4
Suppose n = -b + 5 - 0, 0 = -b + 2. Let f be 5 + (-10)/(-15)*6. Let a be (264/18)/(1*12/f). Solve 4*v = -n + a for v.
2
Let o(r) = r**2 + 30*r - 29. Suppose 155 = 21*j - 26*j. Let x be o(j). Solve -x*p = -p for p.
0
Let t(p) = -158*p - 11371. Let c be t(-72). Let d be (-1 - 1)*1*-1. Solve d*u = c*u + 9 for u.
-3
Suppose -4*y + 5*t + 18 = 0, -4*y - 2*t + 6*t + 16 = 0. Let v be (2 + -5)/((-13)/26). Solve -v*f - 8 = -y*f for f.
-2
Suppose 3*h - 21 = -y + 7, -3*h + 3*y + 36 = 0. Let o be ((-1)/(-4)*0)/(-1). Suppose o = s + 2*s - 6. Solve -2*k = h - s for k.
-4
Let t = -1737 - -1765. Solve -t*z = 13*z - 205 for z.
5
Let o(r) = -10*r**2 - 856*r - 314. Let s be o(-85). Solve s + 119 = 63*p for p.
5
Let y be 4 + (1 - (3 + -1))*1. Solve y*h + 2 = -10 for h.
-4
Let w be 3/(-3)*(-1 - (-6)/(-2)). Let h(n) = -6*n - 33. Let r = 2 - 10. Let o be h(r). Solve -w*q + o = q for q.
3
Let a be (96/7)/4 - 16/(-28). Suppose a*o - 28 = -5*y + 32, -2*o = 5*y - 20. Solve -5*z + o = -z for z.
5
Let y be 33 + (-17 - (4 - 7)). Solve -4 + 23 = -y*p for p.
-1
Let w be (-48)/(-18) + (1 - (-6)/(-9)). Let m(z) = z**3 - 4*z**2 + 5*z + 4. Let l be m(w). Suppose -3*s = q - l, s + q - 2 = -0*q. Solve y + s = 5 for y.
1
Let i = -2 + 22. Let q be 0/((-15)/3)*(-3)/9. Solve -10*w = i - q for w.
-2
Let c = 10764 - 10741. Solve c*d + 63 = 14*d for d.
-7
Let m(i) = -i**2 + 4*i + 51. Let a be m(-5). Solve 332*x = 329*x - a for x.
-2
Let t(b) = b**2 - 3*b - 6. Let o be t(-2). Suppose c = -1, -o*z + 4*c - 3 = -27. Solve -7 - 3 = -z*h for h.
2
Let p(u) = 1507*u + 5 - 1508*u - 13. Let c be p(-10). Suppose -5*q - 33 + 4 = -2*a, -c*a + 19 = 5*q. Solve 15*g - a*g = -9 for g.
-3
Suppose -23*g + 25*g = -5*l + 10, 3*l - 6 = -2*g. Suppose 6*q - 4*q = 6. Let t be ((6/3 - q)*0)/(-3). Solve t = l*v + 4 + 6 for v.
-5
Let w be 20/5 - (-1)/1. Let d be w*(-14)/175*-15. Solve l - 3 + d = 0 for l.
-3
Let i = 6699 + -6694. Let z(c) = c**3 + 4*c**2 - 4*c + 2. Let g be z(3). Suppose 3*t - g = -v, -v = -0*t - 4*t + 59. Solve -q = -i*q - t for q.
-4
Let q(b) = -b**2 + 7*b - 17. Let v be q(4). Let m(r) = -3*r - 13. Let o be m(v). Let p = o - 0. Solve k + p = 5 for k.
3
Let s = 21748 + -21556. Solve 0 = -35*b + 3*b + s for b.
6
Let p =


Solve 4*d = -5*a + 17, -11 = -2*a + v*d + 7 for a.
5
Let p = -403 - -418. Solve 5*c + p = 5*v, 2*v + 3*c - 20 = -2*c for v.
5
Suppose 5*o - 6*z - 19 = -2*z, 2*z = -5*o + 43. Let j(d) = d - 2. Let v be j(o). Solve -h + 5*i + 9 + 3 = 0, 0 = -2*h - v*i - 21 for h.
-3
Let j = -1308 - -1313. Solve -3 = o - 2*o - k, 6 = -j*o + 2*k for o.
0
Let c(k) = k**2 - 9*k - 5. Let j be c(10). Suppose 1 = 2*s - j. Solve -5*v + 0*l = -s*l + 7, v + 6 = -4*l for v.
-2
Let f be (-4)/((-8)/1)*10. Suppose -20 = -10*u + f*u. Suppose 6*v + 0*v = 24. Solve -3*s + 5*r = -27, u*s + v*r - 2 = 2 for s.
4
Let o = 112 - 110. Let f be (-31)/(-3) + 2/(-6). Suppose -o*x - f = -36. Solve -2*c = 3*g + x, 3*c + 7 = -g - 9 for c.
-5
Suppose 0 = -4*s - 15 + 27. Suppose 0 = 4*k + 2*w - 6, k - 6*k + 2*w = -3. Solve s*c - 12 = 3*y, -2*y - 3 = -k for c.
3
Suppose t - 3*r = -9, 2*t + r - 3 = 7. Suppose 2*w + 12 = 4*f, -5*f = 3*w - 0*f - 26. Solve 3*z = -t*h + 12, 4*z - 6 = -0*h - w*h for h.
5
Let h(q) = -4*q - 12. Let o be h(-6). Suppose -27 = -5*t + 18. Let u = o - t. Solve -p = k + u*k - 5, -10 = -2*k + 2*p for k.
2
Suppose 29*t = 61 + 55. Solve 5*g = -t*y - 15, y - g = -6*g for y.
-5
Suppose -c + 5 = -0. Suppose 2*b + c = 3*b. Suppose -h - 57 = -5*t, 4*t - 27 = 3*t - 5*h. Solve 0 = 5*a + b*p - 2 + t, 5*a + 3*p + 4 = 0 for a.
1
Suppose 5*q - 14 - 6 = 0. Suppose f - 4 = 2*n + 4*f, -q*n + 2*f + 24 = 0. Solve -b = n*p + 16, -18 = 3*b + 2*p - 0*p for b.
-4
Suppose 3*a - 4*k = -264, -3*k = -a + 24 - 117. Let t be (-9)/(-6)*a/9. Let u be ((-21)/t)/((-3)/(-4)). Solve -5 = -s, 28 = 2*g + 2*s + u*s for g.
4
Suppose 0 = 4*m + 2*i - 4, -20 = 7*i - 2*i. Solve 0 = -m*x - b - 17, -3*x + 2*b + 3 = -b for x.
-4
Let z be ((-6)/(84/133))/((-1)/2). Let v(k) = -k**3 - 8*k**2 - 7*k + 5. Let c be v(-7). Solve 0*h + 3*x - 9 = h, c*x = 3*h + z for h.
-3
Suppose -48 = -10*n + 5*n + 4*x, -3*n - 4*x + 16 = 0. Let z be ((-1)/4 - (-6)/(-8))*-3. Solve 2*b = z*a - a - n, 2*b - 4 = -4*a for b.
-2
Let c = -233 + 246. Solve -h + 2*m = -c, h + 4*h + 3*m - 13 = 0 for h.
5
Let b be (-21*3/(126/(-12)))/3. Solve -l = u - 4*l, u + b*l = -5 for u.
-3
Let s(l) = l**2 - 3*l. Let t be s(4). Let r = -1 + 4. Suppose -5*f = 4*h - 20, -20 = -5*f - r*h + 6*h. Solve 0 = -5*n - t*o + 24, -n + f*o + 4 = n for n.
4
Let p be (-4)/14 + 290/35. Let a = p - 9. Let w be (7 - a)*(-1)/(-1). Solve -5*b - w = -2*h, 0 = -5*b - 3*h - h - 14 for b.
-2
Suppose 3*j - 3*m + 3 = 0, -1 = -5*j + m + 6. Solve 2*n = -r + 3*n, -j = 5*r - 4*n for r.
-2
Suppose 2*j = 2*u - 12, -5*j + 3 = 2*u + 5. Suppose -5*q + u + 6 = 0. Suppose 5*w = 0, q*x = -3*x - 4*w + 10. Solve -x = 2*b, -4*b = d + d for d.
2
Let r = -1 + 10. Suppose -1 = -n - 3*h, n - 4*h - r = h. Solve -2*v = 3*y - v - 4, -n = -y - v for y.
0
Let o be (3 + (-26)/6)*(-60)/40. Solve -2*h = k + 3, 18 = -2*h - 6*k + o*k for h.
1
Let x = -27 - -47. Suppose -13*r = -18*r + x. Let v be -1 + 2 + (-2)/(-1). Solve 0 = -v*p + 9, r = -o - p + 8 for o.
1
Suppose 259*p - 247*p = 60. Solve 5*n = -20, -n = p*m + 23 - 4 for m.
-3
Let z be (-240)/70 - -7 - (-3)/7. Solve 2*d - 3*q = -1, -z*d - q = -9 + 4 for d.
1
Let w(h) = -3*h + 38. Let v be w(12). Suppose 3*x + 2*x - 15 = 0. Solve -9 = -v*f - 3*f - 2*u, x*f + 5*u = -6 for f.
3
Let s be ((-20)/25)/(2/5). Let l = -17 + 21. Let t be 6/s + -1 + l. Solve -2*x + x - 4*q = -20, 5*x + 3*q - 15 = t for x.
0
Let i = -28 + 46. Let q(z) = -z**3 + 5*z**2. Let v be q(5). Solve 3*f - j + i = 0, 3*j - 9 = -v for f.
-5
Suppose 0 = -k + h + 1, k - 18 + 9 = -3*h. Solve -2*o + 0*x = -k*x + 11, -2*o + 5*x = 17 for o.
-1
Let c = -6 - -8. Suppose -c*n - 25 = -z, z + 2*n = 6 - 1. Let s be (15/6)/(3 - 15/6). Solve d + i + 3 = 0, 5*d + z + 0 = s*i for d.
-3
Let r = -23 - -27. Suppose 3*p - r*j + 14 = -9*j, -5*p - 5*j - 10 = 0. Suppose -c + 7 = p. Solve 3*v + 35 = -c*a, -2*a = -5*v + v - 12 for a.
-4
Let d(x) = -x**3 - 10*x**2 - 7*x + 19. Suppose -13 = 3*j + 14. Let g be d(j). Solve -3 + g = i + p, 2*p = 3*i - 19 for i.
3
Suppose 5*r + 4*b - 8 = 11, -3*r + 33 = -3*b. Solve -3*s + s = l - 1, -r = 3*l + s for l.
-3
Let d = 7 - 22. Let k be d/(-20) + (-25)/(-4). Let p = 12 - k. Solve f - 7 = 4*o + 2*f, 5 = p*f for o.
-2
Let u = 2 - -10. Suppose 4*p - 3*t = 32 - 6, -u = -2*p + t. Solve 3*q = -j + 4, -p*j + 6 = 3*q - 14 for j.
4
Suppose -3*f + 16 + 2 = 0. Suppose -u - 2*o = -7, 2*u + 13 = o + 4*o. Solve -f*c + 3*c + 2*r = -1, -r = -c + u for c.
-1
Let n(f) = 4*f - 40. Let a(s) = s**2 + s + 12. Let z be a(0). Let b be n(z). Solve -r = r + p + b, 2*p + 1 = r for r.
-3
Let z be (3 + -3 - 5)/(-1). Let x be 15*((-16)/(-12) + -1). Solve 1 - 41 = -z*i + x*u, -8 = 2*u for i.
4
Let n be 1/(((-6)/(-10))/3). Let r(i) = -i**3 - 19*i**2 - 31*i + 10. Let g be r(-2). Solve 5*f + 5 = -x, -f = -x + g*f - n for x.
-5
Let f(v) = -v + 4*v - 12 + 0 - 5. Let l be f(8). Suppose -p = -l*p. Solve -5*m - 10 = -2*u - p*u, 2*m + 5*u = -33 for m.
-4
Suppose -24*v + 20 = -x - 28*v, -2*v - 10 = -2*x. Solve x = -5*b + q + 23, -2*b - b - 3*q = -21 for b.
5
Suppose 0 = 4*b - 4*j - 9 - 19, 5*b - j = 51. Solve 4*k + b = c - 0*k, 11 = -5*c - 2*k for c.
-1
Let v = -54 - -65. Let h be -7 + v - (2 + -1). Solve -3*i + 5*i - 15 = h*f, -2*i = 0 for f.
-5
Suppose v + 30 = 3*v + 5*w, 0 = -v + 4*w + 15. Let n = v - -5. Solve -3*f + 6*f = 2*b, -4*b + n = 4*f for f.
2
Let r(j) = 3*j - 9. Let b be r(3). Let x be ((-5)/(-20) - b)*4. Solve -s + 3*a = 3, -5*s + a - 16 + x = 0 for s.
-3
Let h be (-6)/(-6) + 3 + 0. Let r = 12 - 7. Let a = 1 + 1. Solve 8 = -r*y - h*j, a*y + j + 20 = 5*j for y.
-4
Let i = -187 - -193. Solve 7*u + i = 5*u - o, u - o - 3 = 0 for u.
-1
Suppose -c + 15 = 4*c. Suppose 6*t = 5*t + c. Suppose 0 = n - t. Solve k = 4*s - 11, 3*s - n = k - 2*k for s.
2
Let z be 3*6*1/6. Solve -m + z = 2*m, -5*m = -2*w - 15 for w.
-5
Let h be (13/3 - 4)*54. Let f be 4/h + 1164/108. Suppose -f*r + 6*r + 10 = 0. Solve 0 = -j + d, j = r*d - 7*d - 30 for j.
-5
Let a(n) be the third derivative of 8*n**2 - 1/12*n**4 + 0*n + 1/15*n**5 + 0 - 1/6*n**3. Let s be a(-1). Solve -5*w = 4*t + 23, -t + s*w + 21 = -4*t for t.
-2
Let h(q) be the second derivative of q**4/12 + 5*q**3/2 + 29*q**2 - 41*q. Let j be h(-7). Solve -3*f = 2*v - 17, 4*v + 5*f - 27 = j*v for v.
1
Let i be 1/(172/(-88) - -2). Suppose -4*s + 8 = 2*a, -4*a + s - 1 - 1 = 0. Let q = i + a. Solve 2*f + 2*o + 0 + 18 = 0, 3*f = -2*o - q for f.
-4
Suppose 13*k - 90*k + 231 = 0. Solve -f - 17 = -2*f - 4*n, k*n = 9 for f.
5
Let j(q) = -q**3 - 5*q**2 - 3*q - 11. Suppose 4*x = -6*x - 50. Let v be j(x). Solve -u + 12 = -v*b, 4 - 2 = 5*b + 3*u for b.
-2
Suppose 0 = -12*c + 7*c + 20. Let l be (10/(-5) + 3)*4. Suppose -4*j = l*j - 168. Solve -2*s + j = -5*u, -s - c*s - u = 15 for s.
-2
Let s be (5 + -1)*(-6 + 8). Let q(x) = 2 - 3 - 5 + s*x - 2 - x**2. Let d be q(6). Solve n - u = -d*n + 6, 3*n + 5*u = -2 for n.
1
Let w(a) = -a**3 + 39*a**2 + 2*a - 76. Let n be w(39). Solve 0 = -3*g + 5*p + 23, g + g = -n*p - 6 for g.
1
Suppose 2*x - 10 = 0, -4*z = 5*x - 2*x - 23. Solve z*n - 10 = 5*a, 5*n + 5 = 6*n + 2*a for n.
5
Let c(i) = i**2 + 5*i + 7. Let o be c(-6). Let h = o + -10. Suppose 2*d - 6 = 0, -h*m + 7*d - 2*d = 9. Solve 11 = 2*s - 4*v + 25, -m*v + 6 = -2*s for s.
1
Let b be (11 - 1)/((-1080)/(-96) + -10). Solve -2*y = -4*s + b, 3*y + 7 = -s + 2 for y.
-2
Let t = 847 + -835. Solve -4 = 2*c + 4, 4*x - c - t = 0 for x.
2
Suppose -210*v = -219*v. Solve v*n - 2*c = n + 7, -3*n + 3*c = -15 for n.
1
Let v = -18 + 24. Let x be (-17)/(-5) - v/(-10). Solve -x*z + 33 = 5*m, 7*z + m = 4*z + 11 for z.
2
Suppose -4*z - 2*r - 113 + 3 = 0, r - 90 = 3*z. Let v = z - -42. Suppose -h = -5 - v. Solve 4*k + 2*d + h = 0, -3*k - k - d - 17 = 0 for k.
-4
Let m = 1 - 1. Let r = -187 + 190. Suppose 3 - 4 = 2*h + 3*j, -4*j - 13 = h. Solve d + 2*s = -m*d - h, -r*s = -d + 13 for d.
1
Suppose 4*r - 5*r + z = -16, 68 = 5*r - 2*z. Let o(y) = -2*y + 28. Let w be o(r). Solve i + 4*s + 16 = -2, 2*i - w = 2*s for i.
-2
Let l be (-111)/(-18) - (-4 - (-75)/18). Suppose -9*x + 12 = -l. Solve q - k = 0, 7*q - x*k - 2 = 3*q for q.
1
Let g = 0 - 0. Let c be (4 + -2)/(2/(-3) - (-48)/45). Solve k = -p - 1 - g, -k = -c*p + 25 for k.
-5
Suppose 5*i + 60 + 10 = 0. Let x = 423 - 427. Let k be 12/14*i/x. Solve 0 = -p - 2*s, k*s - 7*s = 0 for p.
0
Let l


. Let w(b) = -3*b**3 - 4*b**2 - 4*b - 4. Let f(u) = -2*u**3 - 3*u**2 - 3*u - 3. Give m*f(p) + 3*w(p).
-p**3
Let o(n) = 10*n**3 - 45*n**2 - 45. Let k(c) = c**3 - 4*c**2 - 4. Calculate -45*k(x) + 4*o(x).
-5*x**3
Let u(v) = 15*v + 4. Let g(f) = -286*f - 77. Determine 4*g(b) + 77*u(b).
11*b
Let f(m) = -m**2. Let v(r) = -24. Give 2*f(q) + v(q).
-2*q**2 - 24
Let k(q) = 2*q - 45. Let t(a) = 2*a - 44. What is 5*k(n) - 6*t(n)?
-2*n + 39
Let x(o) = 4 - 6*o - 4 - 1. Let f(a) = -27*a. Let g(z) = -5*z. Let y(b) = 2*f(b) - 11*g(b). What is 2*x(t) + 14*y(t)?
2*t - 2
Let q(w) = 102*w**3 - 2*w**2 + 5. Let c(v) = -34*v**3 + v**2 - 2. What is -8*c(a) - 3*q(a)?
-34*a**3 - 2*a**2 + 1
Let z(f) = f**2 + 5*f + 7. Let l(u) be the second derivative of -u**2/2 + u. Let h(q) = -5*l(q) - z(q). Let c(d) = d**2 + 3*d + 1. Give -5*c(k) - 3*h(k).
-2*k**2 + 1
Let v(z) = -3*z**2 + 4*z - 2. Let r(l) be the third derivative of -l**5/60 + l**4/12 - l**3/6 - 4*l**2. Suppose 3*k = 6 - 0. What is k*v(u) - 5*r(u)?
-u**2 - 2*u + 1
Let b(l) = -2*l**2 + l - 1. Suppose 0 = -3*c - 2 + 11. Let y(t) = -c - t + 3*t**2 + 4 - t**2. Calculate 3*b(q) + 4*y(q).
2*q**2 - q + 1
Let x(p) = 2*p**2 + 5*p - 4. Let c(o) = -3*o**2 + 6 - 48*o + 13*o + 28*o. Give -5*c(a) - 7*x(a).
a**2 - 2
Let u(z) = -46*z**2 + 11*z + 11. Let v(p) = -9*p**2 + 2*p + 2. Determine -2*u(s) + 11*v(s).
-7*s**2
Let r(u) = -u**3 - 5*u + 2. Let q(i) = i**3 + 4*i - 2. Let k(g) = 7*g**3 + g**2 - 4*g + 2. Let n be k(1). Give n*q(s) + 5*r(s).
s**3 - s - 2
Let s(x) = 7*x - 5. Let f(z) = -7*z + 4. Determine 3*f(t) + 2*s(t).
-7*t + 2
Let g(o) = 3*o + o - 5*o + 3*o + 7. Let x(w) = -w - 3. Let m(j) = 6*j**2 + 2*j + 1. Let t be m(-1). Calculate t*x(l) + 2*g(l).
-l - 1
Let w(c) = 3*c**3 - 5*c**2 + 11*c - 2. Suppose 4*f + 9 = 6*i - i, -16 = -4*f. Let g(r) = -2*r**3 + 3*r**2 - 6*r + 1. Determine i*g(d) + 3*w(d).
-d**3 + 3*d - 1
Let l(p) be the first derivative of -p**2/2 - 13. Let m(j) = 3*j**2 - 3*j. What is -3*l(h) + m(h)?
3*h**2
Let n(a) = a**2. Let c(m) = -m**3 + m**2 - m. Let g(y) = -5*y**3 + 3*y**2 - 2*y. Let u(z) = -6*c(z) + g(z). Determine 3*n(l) + u(l).
l**3 + 4*l
Let r be (-1 - -2)/(6/24). Let z(o) = -2*o**2 - 2*o + 1. Let q(s) = 2*s**2 + 2*s - 1. Give r*q(x) + 3*z(x).
2*x**2 + 2*x - 1
Let h(b) = -4*b**2 + 2*b - 4. Let a(g) = g**2 - g + 1. Let k be (-1 + 4 - 6) + 9. Let q be (-5 + k)/((-1)/2). Determine q*a(t) - h(t).
2*t**2 + 2
Let p(c) = 8*c + 5. Let v(h) = 4*h - 14. Let w(r) = r + 1. Let s(g) = 2*v(g) + 22*w(g). Let m(o) = -o + 1. Let t(k) = 15*m(k) + s(k). What is -11*p(a) + 6*t(a)?
2*a - 1
Let z(x) = -x**2 - 4*x - 3. Let j(b) = -b**2 - 3*b - 2. Suppose 3*k = 2*m - 21, -k + 0*k - 17 = -4*m. Determine k*z(n) + 7*j(n).
-2*n**2 - n + 1
Let o(s) = -s**3 - 3*s**2 + s - 1. Let t(b) = -b**3 - 2*b**2 + b. Give 4*o(f) - 6*t(f).
2*f**3 - 2*f - 4
Let j(a) = 8*a - 4. Let n(r) = 7*r - 3. Let d(v) = -3*j(v) + 4*n(v). Let t(l) = -4*l. Calculate 4*d(x) + 5*t(x).
-4*x
Let h(y) = -35*y + 2. Let g(i) = 70*i - 4. Determine -4*g(k) - 7*h(k).
-35*k + 2
Let c(h) be the first derivative of 2*h**2 - 6*h + 21. Let g(j) be the third derivative of -5/24*j**4 + 0 + 0*j - j**2 + 7/6*j**3. What is -6*c(b) - 5*g(b)?
b + 1
Let f(v) = -7*v + 17. Let t(y) = -2*y + 4. What is 6*f(q) - 26*t(q)?
10*q - 2
Let l(w) = 4*w**3 - 7*w + 12. Let f(p) = -p**3 + 2*p - 4. Let i = 41 - 43. Give i*l(z) - 7*f(z).
-z**3 + 4
Let o(m) = -4*m**2 + 3*m + 12. Let h(z) = 8*z**2 - 5*z - 23. Give -3*h(j) - 5*o(j).
-4*j**2 + 9
Let n(j) = -13*j**2 - 3*j + 4. Let m(w) = -9*w**2 - 2*w + 3. Determine -7*m(a) + 5*n(a).
-2*a**2 - a - 1
Let i(u) = u + 4. Let r(x) = x + 3. Suppose 5*o + 28 = 4*g, -4*g + 2*g + 8 = -o. Give o*r(d) + 3*i(d).
-d
Let d(u) = -u + 1. Let v(k) = -7. Determine -7*d(c) - v(c).
7*c
Let d(l) = 4*l. Let z be d(1). Let u(x) = -12*x - 16*x + 2 + 29*x + 0. Let f(r) = -5*r - 2. Let b(w) = w. Let i(q) = -4*b(q) - f(q). Calculate z*u(s) - 5*i(s).
-s - 2
Let p(t) = 17*t - 9*t - 9*t. Let n(z) = -2*z. Suppose d - 2*d + 5 = 0. Calculate d*p(j) - 3*n(j).
j
Let t(h) be the first derivative of 5*h**2/2 - 10*h - 7. Let d(p) = p - 3 - 1 + 2. Give -11*d(a) + 2*t(a).
-a + 2
Let x(j) = 1. Suppose -5*u + 32 = -2*w, 0 = 4*u - 5*w - 29 - 0. Let c(s) = -2*s + 5. What is u*x(z) - c(z)?
2*z + 1
Let p = 8 + -10. Let h(x) = -x + 4. Let u = 2 + -5. Let b(y) = y - 5. Determine p*b(n) + u*h(n).
n - 2
Let c(s) = 3*s - 8. Let p(o) = -3*o + 7. What is 5*c(j) + 6*p(j)?
-3*j + 2
Let g(z) = 5*z**2 - 6*z + 6. Let v(s) = 11*s**2 - 13*s + 13. Let n be 2/(-9) + 364/(-63). Determine n*v(h) + 13*g(h).
-h**2
Let y(m) = -m. Suppose 3 = -33*x + 36*x. Let w(p) = -1. Let q = 6 + -8. Give q*y(l) + x*w(l).
2*l - 1
Let y(s) = -41*s**3 + 2*s**2 + 2*s - 2. Let r(l) = 2501*l**3 - 123*l**2 - 123*l + 123. Give 2*r(h) + 123*y(h).
-41*h**3
Let s(f) = 5*f - 2. Let v(j) = -6*j + 3. Let m(u) = u**3 + 6*u**2 + 4*u + 2. Let r be m(-5). Suppose -o = -r - 1. Let z = o + -5. Determine z*v(h) + 4*s(h).
2*h + 1
Let v(n) = -2*n**2 - n. Let k be v(-3). Let j be (k/6*-6)/(-1). Let s(u) = 6*u**2 - 15*u + 15. Let p(b) = b**2 - 2*b + 2. Give j*p(h) + 2*s(h).
-3*h**2
Let l(d) = -d**3 - 3*d**2 + 3. Let p(x) = 2*x**2 - 2. Determine -2*l(g) - 3*p(g).
2*g**3
Let p(b) = -5*b + 5. Let d(i) = 10*i - 11. Calculate 4*d(f) + 9*p(f).
-5*f + 1
Let n(q) = 3*q + 3. Let k(h) = 7 + 2*h + 4 + 6 - 15. Calculate -4*k(f) + 3*n(f).
f + 1
Let g(v) = 3*v**2 + v + 18. Let p(h) = -h**2. Give g(z) + 4*p(z).
-z**2 + z + 18
Let o(a) = -2*a**2 - a - 2. Let z(s) = -3*s**2 - s - 4. Give -5*o(h) + 3*z(h).
h**2 + 2*h - 2
Suppose 5*q - 70 = 80. Let s(b) = -12*b**2. Let w(u) = u**2. Give q*w(p) + 2*s(p).
6*p**2
Let i(d) = d. Let s(o) = -6*o - 2. Let x(b) = -2*i(b) + s(b). Let j(m) = 7*m + 2. What is 5*j(n) + 4*x(n)?
3*n + 2
Let l(c) = -c**2 - c. Let p(k) = -3*k**2 - 2*k. Give -10*l(s) + 4*p(s).
-2*s**2 + 2*s
Let f(d) = -7*d**3 - 7*d**2 + 5*d + 3. Let z(s) = 6*s**3 + 6*s**2 - 4*s - 3. Calculate 4*f(l) + 5*z(l).
2*l**3 + 2*l**2 - 3
Let v(x) = 7*x**3 + 6*x**2 - 8*x. Let r(k) = -6*k**3 - 5*k**2 + 7*k. Let t(l) = -3*l + 2. Let o be t(-1). Give o*v(u) + 6*r(u).
-u**3 + 2*u
Let s(w) = 2*w + 6. Let h(p) = 4*p + 12. Give -6*h(o) + 11*s(o).
-2*o - 6
Let b(a) = -a + 1. Let s(d) = 5*d - 8. Let t(k) = b(k) + s(k). Let u(y) = -y - 1. Let w(j) = 4*j + 10. Let o(z) = 6*u(z) + w(z). What is 7*o(h) + 4*t(h)?
2*h
Let l(v) = -3*v**2 + 2*v. Let k(p) be the second derivative of 35*p**4/12 - 25*p**3/6 - 22*p. Determine -2*k(z) - 25*l(z).
5*z**2
Let s(h) = -7*h - 6. Let t(b) = -12*b + 6 - 23 - 9*b + b. Let m be 87/(-5) + 22/55. Let a = 1 + 5. Determine a*t(y) + m*s(y).
-y
Let o be (0/(-3) - -1)/(0 - 1). Let f(u) = 3*u + 3. Let b(c) = c. Determine o*f(q) + 2*b(q).
-q - 3
Let y(b) = 16*b**2 - 6*b - 5. Let r(n) = -n - 36*n**2 - 1 + 18*n**2 + 21*n**2. Calculate 11*r(s) - 2*y(s).
s**2 + s - 1
Let w(k) = -3*k - 66. Let d be w(-23). Let j(g) be the third derivative of 0 + 0*g - 3*g**2 - 2/3*g**d + 5/24*g**4. Let q(h) = h - 1. Determine -j(u) + 4*q(u).
-u
Let z(m) = 9*m**3 + 8*m**2 + 11*m + 8. Let w(o) = 8*o**3 + 7*o**2 + 10*o + 7. Calculate -7*w(x) + 6*z(x).
-2*x**3 - x**2 - 4*x - 1
Let i(y) = 15*y**2 - y - 4. Let h(v) = -46*v**2 + 3*v + 11. Determine 4*h(c) + 11*i(c).
-19*c**2 + c
Let l(n) = -5*n**3 + 5*n - 3. Let p(j) = 9*j**3 - 9*j + 5. Give 7*l(v) + 4*p(v).
v**3 - v - 1
Let l(o) = -2*o**3. Let j(u) = 2*u + 1. Let d be j(-3). Let m be (-6 - -9) + (-1 - 5). Let c(t) = t**3. Calculate d*c(g) + m*l(g).
g**3
Let b(g) = g**2 - 3*g + 2. Let s(c) = c + 2. Let i be s(6). Let m(f) = 14 - i*f - 3 + 12*f**2 - 6*f**2 - 8*f. What is 22*b(j) - 4*m(j)?
-2*j**2 - 2*j
Let y(k) be the third derivative of -k**4/12 + k**3 + k**2. Suppose 2*x - 1 = -3*x + 3*l, -4*x - 2 = -l. Let r(j) = 1. What is x*y(t) + 6*r(t)?
2*t
Let a(o) = 4*o**2 + 3*o - 1. Suppose -3*y + 30 = 2*j - 6*j, 39 = -5*j + 3*y. Let l be (-2)/(-9) - 16/j. Let g(n) = -2*n**2 - n. What is l*a(f) + 5*g(f)?
-2*f**2 + f - 2
Let g(c) be the second derivative of c**4/12 - c**3/6 + 3*c**2/2 - 5*c. Let r(i) = -i + 1. What is -2*g(v) + 6*r(v)?
-2*v**2 - 4*v
Let x(z) = 13*z - 1. Let o(v) = v + 1. Calculate o(l) - x(l).
-12*l + 2
Let a(p) be the first derivative of p**3/3 + p**2/2 - p - 5. Suppose 1 = z - 2. Let o(u) = z - 2 - 2*u - u. Give 2*a(j) + o(j).
2*j**2 - j - 1
Let l(


(1/3)*r)/r))/r)/r)**(-13)/(r/((r*r/((r/(r**(2/5)/r))/r*r)*r)/r))**32 assuming r is positive.
r**(167/15)
Simplify ((z**1)**0)**(-39/4) assuming z is positive.
1
Simplify (o**(-1/3)*o)**(-3/20)/(o**(2/7)/o)**(-23) assuming o is positive.
o**(-1157/70)
Simplify f**7/(f/f**(-3/2)) assuming f is positive.
f**(9/2)
Simplify r**(-12)*r*r*r**22*r assuming r is positive.
r**13
Simplify ((l**(-1/2))**(26/7))**(-37) assuming l is positive.
l**(481/7)
Simplify (z/(z/(z*z**(-1))))/z*(z/z**(7/9))/z assuming z is positive.
z**(-16/9)
Simplify (t/((t*t**(2/3))/t)*t*((t/(((t/(t**(5/2)*t))/t*t)/t))/t)/t)/(t/(t*t**1))**(-1/11) assuming t is positive.
t**(247/66)
Simplify (o**(1/8))**(-17/3) assuming o is positive.
o**(-17/24)
Simplify (j**6/((j/((j*j/(j*j*j**6*j*j)*j)/j))/j))/((j**(1/3)/j)/j)**48 assuming j is positive.
j**78
Simplify ((y/y**(5/6))/y)/(y*y*y*y*((y*y*y**(-5)/y)/y)/y*y*y) assuming y is positive.
y**(-5/6)
Simplify ((j*j**(1/3)*j)/(j*j*j**(-2/21)))/(j**(3/5)*j*(j/(((j**7/j)/j)/j)*j)/j) assuming j is positive.
j**(64/35)
Simplify (w**(-2/3))**(-13)/((w/w**(-3))/w**(-4)) assuming w is positive.
w**(2/3)
Simplify c**5/(c*c*c*c**(-3/4)/c*c*c)*c/(c**(-2/3)*c)*c**(-4/9) assuming c is positive.
c**(71/36)
Simplify b**(-17)*(b**8*b)/b assuming b is positive.
b**(-9)
Simplify ((t/t**(2/13))/t)/(t/(t/(t*((t**(-5)*t)/t*t)/t)))*(t/(t**(1/4)*t*t)*t*t)**(-2/17) assuming t is positive.
t**(1661/442)
Simplify (f**0)**(-2/107)*(f*f**(2/7))**(2/47) assuming f is positive.
f**(18/329)
Simplify (y*y*y/y**0*y*y*y*y*y*(y**7/y)/y*y*y)/((y**1/y)/y)**(-32) assuming y is positive.
y**(-17)
Simplify (h**(-1))**7*h/h**(-3/4)*h/((h*h**(4/9))/h) assuming h is positive.
h**(-169/36)
Simplify r**(-1/9)*r*r**(-3)*r*r*r/((r*r/r**(3/2)*r)/r)*r**(-2/23) assuming r is positive.
r**(125/414)
Simplify (z*(z*z/(z/z**(-29))*z)/z)/z**(9/7) assuming z is positive.
z**(-198/7)
Simplify v/((v*v**(-6))/v)*v/(v*v*v/v**5)*v/(v/(v/(v*v/v**(-6)*v))*v)*v*v**(-6) assuming v is positive.
v**(-4)
Simplify (t*t*(t/(t/(t/t**(-1/27)*t)*t*t))/t*t*t)**(-2/23) assuming t is positive.
t**(-164/621)
Simplify ((w**(1/9)*w)/w**(-11))**(2/27) assuming w is positive.
w**(218/243)
Simplify ((k*k/(k*k**1))**(2/99))**32 assuming k is positive.
1
Simplify (((l/l**2)/l)/l)**(-5/7)/(l**2)**44 assuming l is positive.
l**(-601/7)
Simplify z**(1/3)/z*z**(-1)*(z*z/(z**(-2/3)/z)*z*z)**(18/5) assuming z is positive.
z**(281/15)
Simplify ((i*i**(-1/5))/i*i*i)**(-24/11) assuming i is positive.
i**(-216/55)
Simplify (v**(-8)/v*v**7)/(v**0)**(-2/79) assuming v is positive.
v**(-2)
Simplify o**(2/19)*o**1 assuming o is positive.
o**(21/19)
Simplify n**(-6)*(n/(n**(-3/7)/n*n))/n*(n**(2/3)/n)**(-1/20) assuming n is positive.
n**(-2333/420)
Simplify (((g/(g**3/g))/g)/g*g**(-3/4))**(-23/4) assuming g is positive.
g**(345/16)
Simplify (i*i**(2/5))/i*i**(-3/8) assuming i is positive.
i**(1/40)
Simplify (((y/(y/(y**(-1/8)/y)*y))/y)/(((y*y**9*y)/y)/y))**(2/9) assuming y is positive.
y**(-97/36)
Simplify (z**1)**(-3/26)/(z**(-1/4)/(z**(1/4)/z)) assuming z is positive.
z**(-8/13)
Simplify (((l*l**2)/l)/(l/l**(-1)))**(-4/15) assuming l is positive.
1
Simplify ((g**(1/3)/g*g)/g)**(-15)/(g*g**(-2/5)*g)**45 assuming g is positive.
g**(-62)
Simplify c*(c**(-1/3)*c)/c*c*c**(-1/43) assuming c is positive.
c**(212/129)
Simplify c**(2/23)*c*c*c**(-24) assuming c is positive.
c**(-504/23)
Simplify (o/(o/(o*o**(-2/11))))/(o*o**(1/18)) assuming o is positive.
o**(-47/198)
Simplify (r/(r**(-8)*r)*r)/(r*r**(-7/3))*(r*(r/(r*r**(-1/3)))/r)**(3/2) assuming r is positive.
r**(65/6)
Simplify ((j/(j**4/j))/(j/j**(-4/3)))/(j**(-2/9))**(27/5) assuming j is positive.
j**(-47/15)
Simplify ((g/((g/g**(3/11))/g))/g*g)**(-4/7) assuming g is positive.
g**(-8/11)
Simplify (z**(-2/7)*z*z**(1/2))/(z/((z/z**(-2))/z))**(-3/40) assuming z is positive.
z**(319/280)
Simplify r**(-5)*r/r**5*r*(r*(r/(r*r*r**(-6/7)))/r)/r*((r**1/r)/r)/r assuming r is positive.
r**(-78/7)
Simplify (f/(f/(f/(f*f**(-1/11)))))/((f*(f**(2/13)*f)/f)/f) assuming f is positive.
f**(-9/143)
Simplify l**(-1/32)*(l**(-1/3)/l)/l*l assuming l is positive.
l**(-131/96)
Simplify l/(l*l**0*l)*l*(l**(2/33)/l*l)/l*l assuming l is positive.
l**(2/33)
Simplify (d**(2/7))**(-45)/(d*d**(1/2)*d)**(-1/12) assuming d is positive.
d**(-2125/168)
Simplify ((c*c**(2/13)*c)/(c*c**(1/12)*c))**(17/4) assuming c is positive.
c**(187/624)
Simplify (x*x*((x*x**(-7))/x)/x*x*x/(x/(x**(-2)/x)))**(-50) assuming x is positive.
x**400
Simplify (f/((f*f**31)/f))/f**(2/11) assuming f is positive.
f**(-332/11)
Simplify (b**(-2/5)*b/b**(-4)*b*b)**(1/30) assuming b is positive.
b**(11/50)
Simplify ((o/(o/o**(-1)*o))**(24/13))**(-4/13) assuming o is positive.
o**(192/169)
Simplify ((((x**(-1/3)*x)/x)/x)**(-18/7))**(-1/11) assuming x is positive.
x**(-24/77)
Simplify (n**6/n*n**(-2/5)*n)/(n**(-5)/n**8) assuming n is positive.
n**(93/5)
Simplify ((((d/d**(4/3))/d)/d)/(d*d/(d**(1/5)*d*d)))/((d/(d**(1/2)*d))/d**9) assuming d is positive.
d**(221/30)
Simplify ((o**5)**47)**(-6/23) assuming o is positive.
o**(-1410/23)
Simplify n/(n*(n*n**(2/15))/n)*n*n**(-2) assuming n is positive.
n**(-17/15)
Simplify (b**(-2)*b*b*b**(-4)*b*b)/(b*b**(-1/3)*b*b*b*b*b/(b*b**(2/13))) assuming b is positive.
b**(-254/39)
Simplify l**11/l*l*l/l**(-3/2)*(l/l**(-1/3))**40 assuming l is positive.
l**(401/6)
Simplify (q**3)**(-28) assuming q is positive.
q**(-84)
Simplify d/d**(-8)*d**1*d*(d**(-1/7)*d)/d*d**10/d assuming d is positive.
d**(139/7)
Simplify (g/g**(-20/9))**(27/4) assuming g is positive.
g**(87/4)
Simplify (u/(u**(-10)*u)*(u*u**(1/2))/u)**(-1/45) assuming u is positive.
u**(-7/30)
Simplify ((t**(-5)/t)/(t**(-3/5)/t))/(t**(-3)/t*t/t**3) assuming t is positive.
t**(8/5)
Simplify (z/z**(2/3))/(z**(1/5)/z)*(z*z/(z**(1/3)/z*z))**28 assuming z is positive.
z**(239/5)
Simplify (b**(-2/7)/b)**(-45) assuming b is positive.
b**(405/7)
Simplify w**(-2)/((w*w*w**(-1/8)*w*w)/w*w*w)*(w**3/w*w)/w*w**(4/9) assuming w is positive.
w**(-319/72)
Simplify (t**(-6/7))**(-30) assuming t is positive.
t**(180/7)
Simplify ((r**(-2/7)*r)**(3/16))**(2/33) assuming r is positive.
r**(5/616)
Simplify (l/(l*l**(-12))*l/l**(-12)*l*l)**47 assuming l is positive.
l**1269
Simplify (i*i**(2/11))/i**(3/14) assuming i is positive.
i**(149/154)
Simplify ((r/r**(-5/6)*r*r)/r**(-3/2))/(r/(r**(-1)/r*r)*(r*((r*r**(-4/7))/r)/r)/r) assuming r is positive.
r**(103/21)
Simplify f**(-7)/f**(-1)*(f*(f*f/f**(-2))/f)/(f*f**(6/11)) assuming f is positive.
f**(-39/11)
Simplify (u*u*u**(-17))/u*u**11 assuming u is positive.
u**(-5)
Simplify (((s**(-10)/s)/s*s)/s)**4 assuming s is positive.
s**(-48)
Simplify (n*n**(-2/17)/n)/((n*(n**(-37)*n)/n)/n) assuming n is positive.
n**(627/17)
Simplify (i/(i**(-1/2)/i))**46*i**(2/21)/i**(-2) assuming i is positive.
i**(2459/21)
Simplify (x**1*x)/x**(-6/13) assuming x is positive.
x**(32/13)
Simplify ((h/(h**17/h))/(((h*h*h*(h/(h**(-2/17)*h))/h)/h)/h))**(2/59) assuming h is positive.
h**(-514/1003)
Simplify (m**1)**(-10)/(m**5*m/(m*m**(-3/2)/m)*m) assuming m is positive.
m**(-37/2)
Simplify o**(2/5)*o*o/(o*o**(-9))*o assuming o is positive.
o**(57/5)
Simplify (p/((p*p*p**(-7))/p)*(p/(p/(p*p**0)))/p)**45 assuming p is positive.
p**315
Simplify (b**(2/5))**(-5/4) assuming b is positive.
1/sqrt(b)
Simplify h*h**7*h*h/h**(2/7)*h**(-4)*h/(h/(((h*h*h*h*h/(h**(2/7)*h))/h)/h)) assuming h is positive.
h**(52/7)
Simplify ((b/((((b/(b/(b*b**(-8))))/b)/b)/b)*b)/b**2)**(9/8) assuming b is positive.
b**(45/4)
Simplify v**(1/5)/v*v*v**6*v*v/((v/(v*v*v/(v**4*v)))/v)*v**(-2/9) assuming v is positive.
v**(269/45)
Simplify (x**(-1)*x**(1/6))/(x*x**6/x*x**(-5/2)) assuming x is positive.
x**(-13/3)
Simplify k**(-6)*k*k*k**(2/31)*k*(k/((k**1*k)/k)*k)**(-24) assuming k is positive.
k**(-835/31)
Simplify l**(1/5)/l**(-7/3) assuming l is positive.
l**(38/15)
Simplify f/(f/f**24)*(f*f**(9/5))/f assuming f is positive.
f**(129/5)
Simplify w**(-7/4)/w**(-1) assuming w is positive.
w**(-3/4)
Simplify (t**(-2/5))**(-15)/(t/(t/((t**(2/9)*t*t)/t)))**49 assuming t is positive.
t**(-485/9)
Simplify ((b*b/(b**(-1/28)*b))/b)/(b**(-2/3)*b) assuming b is positive.
b**(-25/84)
Simplify (h**5*h**11)**(-25) assuming h is positive.
h**(-400)
Simplify (i**(2/15)/i**(-2))**(-5/14) assuming i is positive.
i*


374?
2, 3, 11, 113
What are the prime factors of 1557?
3, 173
What are the prime factors of 1188?
2, 3, 11
What are the prime factors of 1571?
1571
What are the prime factors of 160?
2, 5
What are the prime factors of 1914?
2, 3, 11, 29
What are the prime factors of 6019?
13, 463
List the prime factors of 27996.
2, 3, 2333
List the prime factors of 25609.
25609
What are the prime factors of 872?
2, 109
List the prime factors of 2519.
11, 229
List the prime factors of 157.
157
List the prime factors of 15393.
3, 7, 733
List the prime factors of 3009.
3, 17, 59
List the prime factors of 11139.
3, 47, 79
List the prime factors of 14035.
5, 7, 401
What are the prime factors of 83634?
2, 3, 53, 263
What are the prime factors of 654?
2, 3, 109
What are the prime factors of 424?
2, 53
List the prime factors of 2968.
2, 7, 53
List the prime factors of 624.
2, 3, 13
What are the prime factors of 31096?
2, 13, 23
What are the prime factors of 1042?
2, 521
What are the prime factors of 7273?
7, 1039
List the prime factors of 5294.
2, 2647
List the prime factors of 964.
2, 241
List the prime factors of 24968.
2, 3121
What are the prime factors of 35207?
17, 19, 109
What are the prime factors of 1442?
2, 7, 103
What are the prime factors of 3792?
2, 3, 79
What are the prime factors of 2131?
2131
What are the prime factors of 57828?
2, 3, 61, 79
List the prime factors of 5433.
3, 1811
What are the prime factors of 24578?
2, 12289
List the prime factors of 17119.
17, 19, 53
What are the prime factors of 21260?
2, 5, 1063
What are the prime factors of 44423?
31, 1433
What are the prime factors of 3172?
2, 13, 61
List the prime factors of 2851.
2851
List the prime factors of 2044.
2, 7, 73
What are the prime factors of 9972?
2, 3, 277
What are the prime factors of 3374?
2, 7, 241
List the prime factors of 100620.
2, 3, 5, 13, 43
What are the prime factors of 84869?
84869
List the prime factors of 6870.
2, 3, 5, 229
What are the prime factors of 8873?
19, 467
List the prime factors of 14451.
3, 4817
List the prime factors of 75030.
2, 3, 5, 41, 61
What are the prime factors of 1054?
2, 17, 31
What are the prime factors of 18532?
2, 41, 113
List the prime factors of 50866.
2, 29, 877
List the prime factors of 3640.
2, 5, 7, 13
List the prime factors of 18081.
3, 7, 41
What are the prime factors of 6926?
2, 3463
What are the prime factors of 5395?
5, 13, 83
What are the prime factors of 29797?
83, 359
What are the prime factors of 8651?
41, 211
List the prime factors of 331.
331
List the prime factors of 153.
3, 17
What are the prime factors of 2529?
3, 281
List the prime factors of 34339.
23, 1493
List the prime factors of 184259.
184259
What are the prime factors of 11700?
2, 3, 5, 13
List the prime factors of 58770.
2, 3, 5, 653
List the prime factors of 149123.
13, 11471
List the prime factors of 8951.
8951
What are the prime factors of 54865?
5, 10973
List the prime factors of 2083.
2083
List the prime factors of 18858.
2, 3, 7, 449
List the prime factors of 78.
2, 3, 13
List the prime factors of 698.
2, 349
What are the prime factors of 64947?
3, 21649
List the prime factors of 15789.
3, 19, 277
List the prime factors of 3846.
2, 3, 641
What are the prime factors of 19093?
61, 313
What are the prime factors of 34775?
5, 13, 107
What are the prime factors of 2418?
2, 3, 13, 31
What are the prime factors of 126673?
19, 59, 113
What are the prime factors of 26949?
3, 13, 691
What are the prime factors of 5292?
2, 3, 7
What are the prime factors of 19898?
2, 9949
List the prime factors of 10465.
5, 7, 13, 23
What are the prime factors of 17841?
3, 19, 313
List the prime factors of 1007.
19, 53
What are the prime factors of 411?
3, 137
List the prime factors of 108435.
3, 5, 7229
List the prime factors of 7040.
2, 5, 11
What are the prime factors of 1705?
5, 11, 31
List the prime factors of 5422.
2, 2711
What are the prime factors of 4181?
37, 113
List the prime factors of 38150.
2, 5, 7, 109
What are the prime factors of 48882?
2, 3, 8147
What are the prime factors of 4519?
4519
What are the prime factors of 19541?
19541
What are the prime factors of 28550?
2, 5, 571
What are the prime factors of 323?
17, 19
What are the prime factors of 8409?
3, 2803
List the prime factors of 12925.
5, 11, 47
List the prime factors of 2322.
2, 3, 43
What are the prime factors of 5676?
2, 3, 11, 43
What are the prime factors of 4282?
2, 2141
What are the prime factors of 75033?
3, 7, 397
List the prime factors of 68260.
2, 5, 3413
What are the prime factors of 12900?
2, 3, 5, 43
What are the prime factors of 237?
3, 79
List the prime factors of 45387.
3, 41
List the prime factors of 38310.
2, 3, 5, 1277
What are the prime factors of 7282?
2, 11, 331
List the prime factors of 40541.
71, 571
List the prime factors of 73718.
2, 29, 31, 41
What are the prime factors of 24256?
2, 379
List the prime factors of 2878.
2, 1439
List the prime factors of 26457.
3, 8819
What are the prime factors of 8834?
2, 7, 631
List the prime factors of 8995.
5, 7, 257
List the prime factors of 2629.
11, 239
What are the prime factors of 2687?
2687
List the prime factors of 25469.
25469
List the prime factors of 567.
3, 7
What are the prime factors of 10832?
2, 677
What are the prime factors of 1113?
3, 7, 53
List the prime factors of 90008.
2, 11251
What are the prime factors of 114820?
2, 5, 5741
What are the prime factors of 36374?
2, 13, 1399
What are the prime factors of 13745?
5, 2749
List the prime factors of 3406.
2, 13, 131
What are the prime factors of 15514?
2, 7757
What are the prime factors of 119053?
11, 79, 137
List the prime factors of 16587.
3, 19, 97
List the prime factors of 18288.
2, 3, 127
What are the prime factors of 103311?
3, 13, 883
List the prime factors of 49217.
7, 79, 89
What are the prime factors of 1682?
2, 29
List the prime factors of 25639.
25639
List the prime factors of 80708.
2, 20177
List the prime factors of 85081.
85081
List the prime factors of 10186.
2, 11, 463
List the prime factors of 1630.
2, 5, 163
List the prime factors of 2710.
2, 5, 271
List the prime factors of 2580.
2, 3, 5, 43
What are the prime factors of 1258?
2, 17, 37
List the prime factors of 1666.
2, 7, 17
What are the prime factors of 19781?
131, 151
List the prime factors of 10911.
3, 3637
What are the prime factors of 594?
2, 3, 11
What are the prime factors of 356?
2, 89
What are the prime factors of 37866?
2, 3, 6311
List the prime factors of 131673.
3, 43891
What are the prime factors of 37741?
11, 47, 73
What are the prime factors of 2150?
2, 5, 43
List the prime factors of 413.
7, 59
What are the prime factors of 142?
2, 71
List the prime factors of 668.
2, 167
List the prime factors of 4152.
2, 3, 173
List the prime factors of 53594.
2, 127, 211
What are the prime factors of 20356?
2, 7, 727
List the prime factors of 5961.
3, 1987
List the prime factors of 26986.
2, 103, 131
What are the prime factors of 5274?
2, 3, 293
List the prime factors of 73662.
2, 3, 12277
List the prime factors of 168335.
5, 131, 257
What are the prime factors of 11517?
3, 11, 349
List the prime factors of 62630.
2, 5, 6263
What are the prime factors of 96928?
2, 13, 233
What are the prime factors of 23085?
3, 5, 19
What are the prime factors of 14623?
7, 2089
List the prime factors of 1212.
2, 3, 101
What are the prime factors of 733?
733
List the prime factors of 2502.
2, 3, 139
What are the prime factors of 930?
2, 3, 5, 31
What are the prime factors of 10624?
2, 83
List the prime factors of 819.
3, 7, 13
List the prime factors of 31212.
2, 3, 17
List the prime factors of 33266.
2, 16633
List the prime factors of 5764.
2, 11, 131
List the prime factors of 1895.
5, 379
What are the prime factors of 14842?
2, 41, 181
What are the prime factors of 4907?
7, 701
List the prime factors of 5733.
3, 7, 13
List the prime factors of 5139.
3, 571
What are the prime factors of 36231?
3, 13, 929
List the prime factors of 808.
2, 101
List the prime factors of 5029.
47, 107
What are the prime factors of 333?
3, 37
What are the prime factors of 10645?
5, 2129
What are the prime factors of 18761?
73, 257
What are the prime factors of 1154?
2, 577
List the prime factors of 18612.
2, 3, 11, 47
List the prime factors of 36


 are the prime factors of 4476?
2, 3, 373
List the prime factors of 1399.
1399
What are the prime factors of 84768?
2, 3, 883
List the prime factors of 2168.
2, 271
List the prime factors of 108719.
13, 8363
What are the prime factors of 16707?
3, 5569
List the prime factors of 50100.
2, 3, 5, 167
What are the prime factors of 785?
5, 157
List the prime factors of 650.
2, 5, 13
List the prime factors of 380.
2, 5, 19
List the prime factors of 769.
769
List the prime factors of 174808.
2, 21851
List the prime factors of 15341.
23, 29
What are the prime factors of 9526?
2, 11, 433
List the prime factors of 7002.
2, 3, 389
What are the prime factors of 2495?
5, 499
List the prime factors of 11882.
2, 13, 457
What are the prime factors of 110927?
110927
List the prime factors of 2078.
2, 1039
What are the prime factors of 172617?
3, 163, 353
List the prime factors of 4380.
2, 3, 5, 73
What are the prime factors of 30162?
2, 3, 11, 457
What are the prime factors of 1650?
2, 3, 5, 11
List the prime factors of 185830.
2, 5, 18583
What are the prime factors of 252?
2, 3, 7
What are the prime factors of 30455?
5, 6091
List the prime factors of 40115.
5, 71, 113
List the prime factors of 2092.
2, 523
What are the prime factors of 45128?
2, 5641
What are the prime factors of 93727?
19, 4933
List the prime factors of 2925.
3, 5, 13
What are the prime factors of 306?
2, 3, 17
List the prime factors of 162.
2, 3
What are the prime factors of 746?
2, 373
List the prime factors of 13889.
17, 19, 43
What are the prime factors of 132660?
2, 3, 5, 11, 67
What are the prime factors of 10110?
2, 3, 5, 337
What are the prime factors of 29300?
2, 5, 293
What are the prime factors of 92?
2, 23
List the prime factors of 7804.
2, 1951
List the prime factors of 27231.
3, 29, 313
List the prime factors of 2139.
3, 23, 31
List the prime factors of 1559.
1559
List the prime factors of 18068.
2, 4517
List the prime factors of 5560.
2, 5, 139
What are the prime factors of 58738?
2, 43, 683
What are the prime factors of 52544?
2, 821
What are the prime factors of 1019?
1019
List the prime factors of 460.
2, 5, 23
List the prime factors of 2451.
3, 19, 43
List the prime factors of 1030.
2, 5, 103
What are the prime factors of 25407?
3, 941
What are the prime factors of 4409?
4409
List the prime factors of 5722.
2, 2861
What are the prime factors of 3774?
2, 3, 17, 37
List the prime factors of 62.
2, 31
What are the prime factors of 38116?
2, 13, 733
List the prime factors of 148258.
2, 11, 23, 293
List the prime factors of 5510.
2, 5, 19, 29
What are the prime factors of 736?
2, 23
List the prime factors of 5255.
5, 1051
List the prime factors of 4020.
2, 3, 5, 67
What are the prime factors of 41917?
167, 251
List the prime factors of 39896.
2, 4987
List the prime factors of 21770.
2, 5, 7, 311
List the prime factors of 404.
2, 101
List the prime factors of 16507.
17, 971
What are the prime factors of 3059?
7, 19, 23
What are the prime factors of 114452?
2, 13, 31, 71
List the prime factors of 96618.
2, 3, 16103
What are the prime factors of 154662?
2, 3, 149, 173
What are the prime factors of 780?
2, 3, 5, 13
List the prime factors of 5599.
11, 509
What are the prime factors of 5559?
3, 17, 109
List the prime factors of 2994.
2, 3, 499
What are the prime factors of 1789?
1789
What are the prime factors of 2831?
19, 149
What are the prime factors of 16361?
16361
List the prime factors of 27070.
2, 5, 2707
What are the prime factors of 3544?
2, 443
List the prime factors of 21004.
2, 59, 89
What are the prime factors of 23479?
53, 443
List the prime factors of 120663.
3, 41, 109
What are the prime factors of 49169?
49169
List the prime factors of 3135.
3, 5, 11, 19
What are the prime factors of 1345?
5, 269
List the prime factors of 8253.
3, 7, 131
What are the prime factors of 38063?
17, 2239
What are the prime factors of 8197?
7, 1171
List the prime factors of 88.
2, 11
What are the prime factors of 12?
2, 3
List the prime factors of 86568.
2, 3, 3607
List the prime factors of 233.
233
What are the prime factors of 55610?
2, 5, 67, 83
List the prime factors of 1052.
2, 263
What are the prime factors of 162551?
53, 3067
List the prime factors of 71388.
2, 3, 661
List the prime factors of 3144.
2, 3, 131
What are the prime factors of 4926?
2, 3, 821
What are the prime factors of 1125?
3, 5
What are the prime factors of 1765?
5, 353
What are the prime factors of 5250?
2, 3, 5, 7
What are the prime factors of 617?
617
List the prime factors of 1631.
7, 233
What are the prime factors of 14456?
2, 13, 139
What are the prime factors of 34311?
3, 11437
What are the prime factors of 2008?
2, 251
What are the prime factors of 3852?
2, 3, 107
What are the prime factors of 27091?
27091
List the prime factors of 37820.
2, 5, 31, 61
What are the prime factors of 126220?
2, 5, 6311
What are the prime factors of 1205?
5, 241
What are the prime factors of 621?
3, 23
List the prime factors of 181.
181
What are the prime factors of 53232?
2, 3, 1109
List the prime factors of 14783.
14783
What are the prime factors of 7620?
2, 3, 5, 127
What are the prime factors of 14208?
2, 3, 37
What are the prime factors of 1182?
2, 3, 197
What are the prime factors of 103757?
31, 3347
What are the prime factors of 7310?
2, 5, 17, 43
List the prime factors of 43008.
2, 3, 7
What are the prime factors of 339?
3, 113
List the prime factors of 25020.
2, 3, 5, 139
List the prime factors of 1944.
2, 3
List the prime factors of 6331.
13, 487
List the prime factors of 874.
2, 19, 23
What are the prime factors of 10438?
2, 17, 307
What are the prime factors of 51002?
2, 7, 3643
List the prime factors of 1453.
1453
What are the prime factors of 97436?
2, 24359
List the prime factors of 23774.
2, 11887
What are the prime factors of 713?
23, 31
List the prime factors of 105855.
3, 5, 7057
What are the prime factors of 325?
5, 13
What are the prime factors of 18153?
3, 2017
List the prime factors of 34533.
3, 1279
List the prime factors of 60601.
60601
List the prime factors of 559.
13, 43
List the prime factors of 2094.
2, 3, 349
List the prime factors of 6367.
6367
What are the prime factors of 1713?
3, 571
List the prime factors of 1061.
1061
What are the prime factors of 7842?
2, 3, 1307
What are the prime factors of 120330?
2, 3, 5, 7, 191
What are the prime factors of 769?
769
What are the prime factors of 71380?
2, 5, 43, 83
What are the prime factors of 69183?
3, 7687
List the prime factors of 2525.
5, 101
List the prime factors of 1958.
2, 11, 89
What are the prime factors of 63779?
23, 47, 59
What are the prime factors of 2878?
2, 1439
What are the prime factors of 7263?
3, 269
List the prime factors of 162324.
2, 3, 167
List the prime factors of 16581.
3, 5527
List the prime factors of 1238.
2, 619
What are the prime factors of 9838?
2, 4919
What are the prime factors of 8808?
2, 3, 367
What are the prime factors of 8163?
3, 907
What are the prime factors of 476?
2, 7, 17
List the prime factors of 1284.
2, 3, 107
List the prime factors of 37884.
2, 3, 7, 11, 41
List the prime factors of 4486.
2, 2243
List the prime factors of 9121.
7, 1303
What are the prime factors of 3826?
2, 1913
List the prime factors of 7297.
7297
List the prime factors of 474.
2, 3, 79
List the prime factors of 6270.
2, 3, 5, 11, 19
What are the prime factors of 1663?
1663
What are the prime factors of 7008?
2, 3, 73
What are the prime factors of 1378?
2, 13, 53
What are the prime factors of 2376?
2, 3, 11
List the prime factors of 23645.
5, 4729
What are the prime factors of 14708?
2, 3677
List the prime factors of 15101.
15101
List the prime factors of 574.
2, 7, 41
What are the prime factors of 12464?
2, 19, 41
List the prime factors of 18770.
2, 5, 1877
List the prime factors of 3671.
3671
List the prime factors of 18884.
2, 4721
What are the prime factors of 5639?
5639
What are the prime factors of 174?
2, 3, 29
List the prime factors of 665.
5, 7, 19
List the prime factors of 428.
2, 107
List the prime factors of 373.
373
List the prime factors of 26454.
2, 3, 4409
List the prime factors of 1999.
1999
List the prime factors of 6865.
5, 1373
What are the prime factors of 34232?
2, 11, 389
List the prime factors of 2445.
3, 5,


457. Calculate i(k(d)).
-3136*d**2 + 51184*d - 208849
Let z(w) = -814*w**2. Let j(b) = -5*b + 9. Calculate j(z(o)).
4070*o**2 + 9
Let x(c) = c. Let p(v) = 895022*v. What is x(p(w))?
895022*w
Let s(t) = -10*t. Let d(m) be the first derivative of 0*m - 1/3*m**3 - 9 + 0*m**2. Calculate d(s(x)).
-100*x**2
Let b be 16/(8 - 4) - -4. Let q(i) = -i**2 - 9*i**2 + b*i**2. Let x(s) = s**2. Let w(l) = 21*l**2. Let m(v) = -6*w(v) + 119*x(v). Calculate q(m(d)).
-98*d**4
Let h(f) be the third derivative of 2*f**4 + 349*f**2 - 2*f. Let m(g) = -10*g**2. Give h(m(d)).
-480*d**2
Let f(y) be the second derivative of y**6/180 - y**4/12 - 5*y. Let n(k) be the third derivative of f(k). Let a(u) = -u**2. Calculate n(a(z)).
-4*z**2
Let s(w) = 80*w**2 + 6. Let n(x) = 83*x**2 + 5. Let z(l) = 6*n(l) - 5*s(l). Let i(o) = 2*o. What is z(i(h))?
392*h**2
Let w(v) be the first derivative of 5*v**2 - 4*v + 146. Let x(y) = 2*y. What is x(w(m))?
20*m - 8
Let a(r) = -21*r + 51. Let d(o) = 7*o - 18. Let b(v) = -6*a(v) - 17*d(v). Let q(i) = 4*i**2. Give q(b(y)).
196*y**2
Let l(h) = 8*h. Let m(a) be the first derivative of -33*a**2/2 - 176. Calculate l(m(c)).
-264*c
Let p(v) = -7*v. Let q(u) = 67795*u. Determine p(q(r)).
-474565*r
Let p(z) = -2*z**2 + 14*z. Let v(t) be the first derivative of t**2 + 144. What is v(p(c))?
-4*c**2 + 28*c
Let s(a) = a**2 - 3*a - 6. Let x be s(-2). Let u(g) = 4*g - x*g + 2*g**2 - 3*g**2. Let t(i) = -1 + 7*i + 1. Determine u(t(p)).
-49*p**2
Suppose -5*f + 2*g + 95 = -3*g, 2*g = f - 14. Let u = f - 24. Let l(o) = 2*o + 3*o - 2*o + u*o. Let n(k) = 2*k. Give l(n(w)).
6*w
Let n(q) = 28*q - 420. Let g be n(15). Let i(h) be the second derivative of 12*h + 0*h**3 + 1/6*h**4 + g + 0*h**2. Let d(v) = -5*v**2. What is i(d(s))?
50*s**4
Let w(y) = 7*y. Let c(a) be the second derivative of -a**5/40 - a**3/6 - 11*a. Let f(m) be the second derivative of c(m). What is f(w(s))?
-21*s
Let b(o) = 2*o - 18. Let y be b(9). Let p(k) be the third derivative of -3*k**2 - 5/24*k**4 + y*k**3 + 0 + 0*k. Let q(w) = -2*w**2. Give p(q(c)).
10*c**2
Let l(u) = -5369*u. Let s(x) = -37*x. Give l(s(j)).
198653*j
Let z(y) = -2*y**2. Let s(c) = 13*c + 10. Let t(p) = -66*p - 50. Let x(d) = 11*s(d) + 2*t(d). What is z(x(r))?
-242*r**2 - 440*r - 200
Let j(g) = -g. Let q = -721 - -721. Let c(k) be the third derivative of 0 - 2/3*k**4 + 0*k + q*k**3 - 10*k**2. Give c(j(x)).
16*x
Let h(m) = -m**2. Let r(n) = -218*n - 2*n**2 + 52 + 218*n + 0. Determine r(h(f)).
-2*f**4 + 52
Let r(w) = 27*w**2. Let j(n) be the second derivative of -7*n**4/6 + 591*n. Determine r(j(l)).
5292*l**4
Suppose 4*m = -1 - 27. Let j = m - -9. Let o(s) = -20 + 20 + s**j. Let h(i) = -2*i. What is o(h(a))?
4*a**2
Let s(b) be the first derivative of 3*b**3 + 2*b**2 + 10. Let d(z) = 5*z. Calculate d(s(y)).
45*y**2 + 20*y
Let t(z) = -3*z + 3*z - z**2. Let u(y) = -2*y**2 + 6*y + 15. Let x(n) = -3*n**2 + 10*n + 29. Let p(w) = 5*u(w) - 3*x(w). Determine t(p(h)).
-h**4 - 24*h**2 - 144
Let o be (0 - -1)/(0 + 1). Let h(t) = -4*t - o + 2*t + 1. Let y(a) = 0*a**2 - 3*a**2 - 2*a**2 - 3*a**2. Determine h(y(l)).
16*l**2
Let x(q) = -2*q. Let u(k) = 295733*k**2. Determine x(u(r)).
-591466*r**2
Let l(r) = -13*r**2. Let v(m) = 2843*m. Calculate l(v(k)).
-105074437*k**2
Let z(a) = a**2. Suppose 3*j + 0*j - 4*v + 57 = 0, 0 = 2*j + 4*v + 18. Let b = 54 - j. Let g(o) = -b*o - 5*o**2 + 69*o. Calculate g(z(m)).
-5*m**4
Let g(r) = -r**3 + 2*r + 1. Let z be g(-1). Let c(m) = 0*m + m + z*m - 3*m. Let a(w) be the third derivative of -w**4/4 - 2*w**2. Calculate a(c(x)).
12*x
Let g(s) be the third derivative of -53*s**4/8 - 60*s**2. Let m(q) = -2*q. Determine g(m(l)).
318*l
Let x = -53 + 53. Let u(n) be the first derivative of x*n + 4 + 3/2*n**2. Let q(f) = -2*f**2. Give q(u(z)).
-18*z**2
Let a(d) = 19*d + 315. Let c(r) = 8*r**2. Give c(a(h)).
2888*h**2 + 95760*h + 793800
Let z(h) be the first derivative of h**3 + h**2 - 2*h + 1. Let v(b) = 48*b**2 + 33*b - 33. Let y(a) = 2*v(a) - 33*z(a). Let o(s) = -7*s. What is o(y(x))?
21*x**2
Let t be (1 - -6) + 4 + -6. Let a(o) = 4*o - 5. Let z(c) = 3*c - 4. Let h(x) = t*z(x) - 4*a(x). Let p(n) = -12*n. Calculate p(h(i)).
12*i
Let r(x) = -183*x - 2. Let g(b) = -b**2 - 2*b. What is g(r(c))?
-33489*c**2 - 366*c
Let w(u) = 4*u - 40. Let l(g) = g - 8. Let a(s) = 15*l(s) - 3*w(s). Let f(x) = -70*x**2 - x. Calculate f(a(m)).
-630*m**2 - 3*m
Let i be (-6 - -5)*(-18 - 1). Let t(x) = 27*x**2 + i*x**2 - 49*x**2. Let m(o) = o**2. Determine m(t(y)).
9*y**4
Let t(m) = -5387 + 5387 - 31*m. Let k(z) = -z**2. Give k(t(j)).
-961*j**2
Let b(d) be the first derivative of d**2 + 51. Let v(r) = 298*r. Determine b(v(l)).
596*l
Let k(s) = 2132*s - 19. Let o(n) = 2*n**2. Calculate o(k(d)).
9090848*d**2 - 162032*d + 722
Let c(d) = d - 17. Let o(r) be the third derivative of r**4/6 + 2*r**2 - 22*r. What is o(c(z))?
4*z - 68
Let o(q) = q**2. Let x(a) = 222186*a**2. Calculate o(x(j)).
49366618596*j**4
Let d(o) = 10*o**2. Let j(v) = 2*v**2 - v + 2. Let c(t) = -66*t**2 + 34*t - 68. Let i(w) = -6*c(w) - 204*j(w). Give i(d(b)).
-1200*b**4
Let w(x) = 2*x. Let j be (-2)/15 + 42492/90. Suppose -s - 236 = -3*s - 4*m, j = 4*s + 2*m. Let o(b) = -s + 118 + 4*b. Calculate w(o(d)).
8*d
Let t(g) = 2*g + 28. Let h(j) = -2*j - 2. Let d(b) = -3*b - 4. Let s(c) = -2*d(c) + 4*h(c). Give t(s(u)).
-4*u + 28
Let o(q) be the third derivative of q**5/15 + q**2. Suppose -7*m + 4 = -5*m. Let h(k) = 166 - 166 + 3*k**m. Calculate o(h(w)).
36*w**4
Let z(v) = -23 + 2*v**2 + 1 - 15 - 104 + 41. Let w(g) = g**2. What is w(z(n))?
4*n**4 - 400*n**2 + 10000
Let x(v) be the first derivative of 0*v + 2/3*v**3 + 0*v**2 - 9. Let p(d) = 8*d. Calculate p(x(b)).
16*b**2
Let y(p) = -14*p**3 + 2*p + 1. Let o be y(-1). Let t(z) = 13 - o + 3*z**2. Let b(d) = -d. Let j(c) = c**2 + 2*c. Let q(i) = -2*b(i) - j(i). What is t(q(s))?
3*s**4
Let d(h) be the third derivative of h**7/1260 + 4*h**4/3 + 2*h**2. Let n(z) be the second derivative of d(z). Let v(w) = -7*w**2. What is v(n(k))?
-28*k**4
Let p(w) = 4*w**2 - 15*w. Let o(u) = 2*u**2 - 6*u. Let m(h) = -5*o(h) + 2*p(h). Let n(z) = -14*z**2. What is m(n(j))?
-392*j**4
Let g(z) = 2*z. Suppose 33*j - 55*j = 0. Let t(l) be the first derivative of -2/3*l**3 - 4 + 0*l + j*l**2. Give g(t(d)).
-4*d**2
Suppose 0*z - 1024 = -8*z. Let d(x) = z + 2*x - 29 - 40. Let j(l) = l**2. Give j(d(w)).
4*w**2 + 236*w + 3481
Suppose 3*t + 2*t = -4*u + 14, 4*t = u + 7. Let b(z) = 2*z**2 - 5*z**t + 6*z**2 - 2*z**2. Let g(s) = 103*s**2. Give g(b(x)).
103*x**4
Let m(i) = 7*i**2. Let o = 174 - 174. Let x(g) be the third derivative of 0 + 1/30*g**5 + 0*g**4 + 5*g**2 + 0*g + o*g**3. Calculate m(x(k)).
28*k**4
Let k(a) = 2*a**2 - 639. Let v(p) = 61*p. Give k(v(t)).
7442*t**2 - 639
Let y(z) = -17*z + 5. Let o(j) = -42*j**2 + 2*j. Give y(o(q)).
714*q**2 - 34*q + 5
Let n(l) be the first derivative of l**2 + 0*l + 1/6*l**4 + 0*l**3 + 4. Let k(y) be the second derivative of n(y). Let o(x) = -2*x. What is k(o(f))?
-8*f
Let o(j) = -5*j. Let y(i) be the first derivative of -15 + 0*i + 0*i**2 - 4/3*i**3. What is y(o(c))?
-100*c**2
Let r(t) be the third derivative of t**4/24 + t**2. Let h(z) = -z - 1. Let j = -25 - -26. Let y(b) = 5*b + 10. Let f(i) = j*y(i) + 10*h(i). Calculate f(r(v)).
-5*v
Let z(n) = 2*n. Let h(m) = -13197*m. What is h(z(l))?
-26394*l
Let z(v) be the first derivative of v**2/2 + 91. Let n(c) = -15*c. Calculate z(n(j)).
-15*j
Let o(b) be the second derivative of b**6/80 + b**4/2 + 12*b. Let k(f) be the third derivative of o(f). Let p(v) = -v**2. What is k(p(u))?
-9*u**2
Suppose 11*z = -11*z + 23*z. Let f(w) be the third derivative of 0*w**3 + z + 0*w**4 - 1/15*w**5 + 6*w**2 + 0*w. Let p(s) = -2*s**2. Give f(p(l)).
-16*l**4
Let l(d) = -35*d. Let k(b) = -768*b + 1540*b - 769*b. What is k(l(f))?
-105*f
Let m(s) = -14*s - 30. Let f(g) = 9*g**2. What is f(m(w))?
1764*w**2 + 7560*w + 8100
Let x(w) be the third derivative of w**5/40 + 37*w**3/6 + 4*w**2. Let g(n) be the first derivative of x(n). Let q(p) = -6*p. What is g(q(y))?
-18*y
Let u(q) be the second derivative of -q**4/3 + 253*q. Let m(f) = 24*f. Determine u(m(z)).
-2304*z**2
Let z(k) = -110*k - 65. Let v(w) = -10*w - 6. Let r(o) = -65*v(o) + 6*z(o). Let h(i) = -2*i - 2*i + i. Calculate h(r(b)).
30*b
Suppose -4*


 0.3116 to 2 decimal places.
0.31
Round 0.000004785 to seven decimal places.
0.0000048
Round -6870000 to the nearest one million.
-7000000
Round -23.837 to the nearest ten.
-20
What is -68141000 rounded to the nearest 1000000?
-68000000
Round -0.00000045 to six decimal places.
0
What is 0.0141636 rounded to three decimal places?
0.014
Round -0.00008205 to 5 dps.
-0.00008
What is 0.000002362 rounded to seven decimal places?
0.0000024
Round 2871 to the nearest 100.
2900
Round -15411000 to the nearest 100000.
-15400000
What is 2630700 rounded to the nearest 10000?
2630000
Round 0.000002929 to 6 dps.
0.000003
Round 0.00447756 to five dps.
0.00448
What is 480 rounded to the nearest one thousand?
0
Round 1529000 to the nearest one hundred thousand.
1500000
What is -0.00001516 rounded to six decimal places?
-0.000015
Round -0.0002742 to five decimal places.
-0.00027
Round -61.27 to the nearest ten.
-60
What is 9207800 rounded to the nearest 1000000?
9000000
Round 108860000 to the nearest 1000000.
109000000
Round 0.00025275 to 5 dps.
0.00025
What is 272.2 rounded to the nearest ten?
270
What is -0.0002793 rounded to 5 decimal places?
-0.00028
What is 3882.7 rounded to the nearest one hundred?
3900
Round 0.0783 to three decimal places.
0.078
Round 32000900 to the nearest 1000000.
32000000
What is -6759 rounded to the nearest one hundred?
-6800
Round -0.00992 to 4 dps.
-0.0099
Round -1245.6 to the nearest ten.
-1250
Round 1.05279 to one decimal place.
1.1
What is -11970 rounded to the nearest 10000?
-10000
What is 0.0006462 rounded to 4 dps?
0.0006
What is 8.34 rounded to the nearest integer?
8
Round 25.221 to 0 decimal places.
25
What is 2154.7 rounded to the nearest one hundred?
2200
Round 9321000 to the nearest one million.
9000000
What is -309637000 rounded to the nearest one million?
-310000000
Round 0.000000599 to six decimal places.
0.000001
Round -0.000053604 to six dps.
-0.000054
Round 399474 to the nearest ten thousand.
400000
Round 1147 to the nearest ten.
1150
What is -0.00003273 rounded to 4 decimal places?
0
What is 79020 rounded to the nearest 10000?
80000
What is -4.963 rounded to zero decimal places?
-5
What is 0.0000389949 rounded to six dps?
0.000039
Round -819840 to the nearest one thousand.
-820000
Round 1924740 to the nearest one hundred thousand.
1900000
Round 264.21 to the nearest 10.
260
Round 0.00010217 to five dps.
0.0001
What is -0.00040197 rounded to six decimal places?
-0.000402
What is 0.11973 rounded to 2 decimal places?
0.12
Round -17800000 to the nearest 1000000.
-18000000
What is 65232000 rounded to the nearest one million?
65000000
What is 0.00019372 rounded to five dps?
0.00019
What is -0.0005294 rounded to 6 dps?
-0.000529
Round -6870000 to the nearest one hundred thousand.
-6900000
What is -0.00000254 rounded to six dps?
-0.000003
Round 0.00509 to 4 decimal places.
0.0051
Round 1269.6 to the nearest 100.
1300
Round -0.0010145 to four decimal places.
-0.001
What is 1.01196 rounded to two dps?
1.01
Round 31.951 to the nearest ten.
30
Round -1376820 to the nearest 100000.
-1400000
Round -20281 to the nearest one thousand.
-20000
Round 0.044318 to 2 dps.
0.04
Round -1430.9 to the nearest one thousand.
-1000
What is 0.0004312 rounded to 5 dps?
0.00043
Round -1906250 to the nearest one hundred thousand.
-1900000
What is -167 rounded to the nearest 100?
-200
What is -8782 rounded to the nearest 100?
-8800
Round 0.00001426 to six dps.
0.000014
Round 2591500 to the nearest one hundred thousand.
2600000
What is -174040 rounded to the nearest ten thousand?
-170000
What is 8062.8 rounded to the nearest 1000?
8000
What is 15260 rounded to the nearest 1000?
15000
Round 0.00007823 to five decimal places.
0.00008
Round -34.171 to 1 dp.
-34.2
What is 41.215 rounded to 0 dps?
41
Round 197.51 to the nearest 10.
200
Round -122600000 to the nearest one million.
-123000000
Round 0.394 to 2 dps.
0.39
What is -0.00113936 rounded to five dps?
-0.00114
What is -0.003197 rounded to three decimal places?
-0.003
What is 24.83 rounded to the nearest integer?
25
Round -0.0000022662 to 7 decimal places.
-0.0000023
Round -453.96 to the nearest ten.
-450
What is 177 rounded to the nearest 1000?
0
Round -4.6596 to two decimal places.
-4.66
What is -0.00002549 rounded to 6 decimal places?
-0.000025
Round -391.9 to the nearest 10.
-390
Round -4914 to the nearest 1000.
-5000
What is 947800 rounded to the nearest 1000000?
1000000
What is -0.00000015566 rounded to seven decimal places?
-0.0000002
Round 0.00017264 to 6 decimal places.
0.000173
What is 0.469 rounded to the nearest integer?
0
What is -5.7616 rounded to 1 dp?
-5.8
Round -0.101 to two decimal places.
-0.1
What is 1178.13 rounded to the nearest ten?
1180
What is -0.03207 rounded to 4 decimal places?
-0.0321
What is 0.0003497 rounded to five decimal places?
0.00035
What is 0.0299682 rounded to 4 dps?
0.03
Round -17.814 to one decimal place.
-17.8
Round -554000 to the nearest one hundred thousand.
-600000
What is -0.0004631 rounded to four decimal places?
-0.0005
What is -0.00298 rounded to 5 dps?
-0.00298
Round 58900 to the nearest ten thousand.
60000
What is -1205 rounded to the nearest ten?
-1210
What is 8133.2 rounded to the nearest 100?
8100
What is -268.998 rounded to the nearest integer?
-269
Round 132090 to the nearest one thousand.
132000
What is -5.33 rounded to one dp?
-5.3
Round 1462400 to the nearest ten thousand.
1460000
Round -0.00007087 to 5 dps.
-0.00007
Round -224700 to the nearest ten thousand.
-220000
Round -0.00188 to 2 dps.
0
What is 434500 rounded to the nearest 10000?
430000
What is -3195500 rounded to the nearest 10000?
-3200000
Round 0.0002953 to 4 dps.
0.0003
Round -0.0000063183 to six decimal places.
-0.000006
What is 0.3665 rounded to one dp?
0.4
What is 0.000000208 rounded to seven decimal places?
0.0000002
Round -117.853 to 0 dps.
-118
What is 0.108 rounded to 3 decimal places?
0.108
What is -0.00002863 rounded to 6 decimal places?
-0.000029
What is 2.1937 rounded to 0 decimal places?
2
Round -64120 to the nearest ten thousand.
-60000
Round -0.000734 to 4 decimal places.
-0.0007
Round 0.0004293 to 5 decimal places.
0.00043
Round 0.0121928 to five decimal places.
0.01219
Round -262300 to the nearest 10000.
-260000
Round -4571900 to the nearest one hundred thousand.
-4600000
Round -0.0018614 to 4 dps.
-0.0019
Round -0.02375 to 3 dps.
-0.024
Round 13.14 to the nearest integer.
13
Round -0.01001 to 3 dps.
-0.01
What is -535850 rounded to the nearest one thousand?
-536000
What is -21473.1 rounded to the nearest 100?
-21500
Round 57439 to the nearest 1000.
57000
What is 15215.9 rounded to the nearest one hundred?
15200
What is 0.035173 rounded to 2 dps?
0.04
Round -567.8 to the nearest ten.
-570
Round -35604 to the nearest one thousand.
-36000
What is -6769.9 rounded to the nearest 1000?
-7000
Round 0.000048075 to 6 decimal places.
0.000048
Round -431.7 to the nearest one hundred.
-400
What is -0.000124507 rounded to five dps?
-0.00012
What is 4.772 rounded to one decimal place?
4.8
What is 0.00000531 rounded to 7 dps?
0.0000053
What is 0.00004096 rounded to six dps?
0.000041
What is 0.0000051137 rounded to 6 dps?
0.000005
Round 10489000 to the nearest one million.
10000000
Round 1.4031 to two dps.
1.4
What is -0.0001129 rounded to five dps?
-0.00011
What is 11748.6 rounded to the nearest 1000?
12000
Round -0.00007434 to 5 decimal places.
-0.00007
Round -0.00697 to 3 dps.
-0.007
What is 0.7618 rounded to 2 decimal places?
0.76
Round -0.00101 to 3 decimal places.
-0.001
Round 0.00004721 to 5 decimal places.
0.00005
Round -2170 to the nearest one thousand.
-2000
Round 10073400 to the nearest ten thousand.
10070000
What is -313739000 rounded to the nearest one million?
-314000000
What is 0.00026127 rounded to five decimal places?
0.00026
What is 0.12881 rounded to 3 dps?
0.129
What is 94.09 rounded to the nearest integer?
94
Round 0.0000000792 to seven dps.
0.0000001
What is -9.87 rounded to the nearest integer?
-10
What is 3219600 rounded to the nearest 10000?
3220000
What is 0.14127 rounded to two decimal places?
0.14
Round 0.00000046914 to 7 dps.
0.0000005
Round -409690 to the nearest 10000.
-410000
Round -0.000000858 to 7 decimal places.
-0.0000009
Round 105600 to


te the least common multiple of l(u) and 8.
8
Let p = -4631037539/9165330 - 2/509185. Let n = p + 508. Calculate the common denominator of n and 59/(-14) + 2 + -1.
126
Suppose -w + 2 = 4, m = -5*w. Calculate the lowest common multiple of 94 and m.
470
Calculate the common denominator of (-2)/1 - 2010/(-450) and 88/21.
105
Calculate the common denominator of -79/4 and (-472)/(-48) - 2/(-3).
4
What is the common denominator of ((-15)/(-6) + -2)/((-44)/52) and -43/22?
22
Let z(w) = -w**3 + 6*w**2 - 2*w - 3. Suppose -k - s = 3*s - 9, -3*k + 4*s = -11. Calculate the lowest common multiple of z(k) and 16.
48
Let n(u) = 7*u - 1. Let y = -6 + 7. What is the lowest common multiple of n(y) and 7?
42
Let y = 208/59 + -9473/1298. Find the common denominator of y and 4/(-14) + 2382/(-336).
88
Let u(r) = r**2 + 5*r - 31. What is the lowest common multiple of u(-9) and 10?
10
Calculate the common denominator of (-8)/(-32) + 214/56 and -45/14.
14
Let v be ((-8)/(-6))/((-2)/(-603)). Let p = 2247 - v. Let s = p + -14799/8. Calculate the common denominator of s and -49/16.
16
Let g(t) be the first derivative of t**2/2 + 17*t - 2. Let a be g(-7). Let x = a + 10. Calculate the lowest common multiple of x and 16.
80
Let w = -987/74 - 6/37. What is the common denominator of 10/14*27/(-10) and w?
14
Let c(k) = -2*k + 1. Let t be c(2). Let z be (t/(-3))/((-6)/(-3508)). Let b = z + -570. Calculate the common denominator of 16/7 and b.
21
Let d(b) = 2*b**3 - 12*b**2 - 7*b**3 - 14*b + 6*b**3 + 17. Calculate the lowest common multiple of d(13) and 6.
12
Suppose -5*d = -5*a + 455, -5*d + 3*a - 6*a = 479. Find the common denominator of -27/4 and 6/9 + d/18.
36
Let a(b) = 45*b**3 - 5*b**2 + 2*b + 3. Let k be a(-4). Let r = k - -17929/6. Find the common denominator of r and 49/6 + 1*-1.
6
Let y be -2 - (2 + 1856/(-9)). Let a = y + -203. Find the common denominator of a and 39/2 - 1 - 2.
18
Suppose -3*x - 5*h + 11 = 0, 3*x + 4*h - 6*h - 46 = 0. Suppose 51 = 3*k - 3*n, 2*k + 1 = -3*n - 2*n. What is the lowest common multiple of k and x?
12
Let s(v) = 7*v**3 + v**2 - v + 1. Let i(n) = n**2 - 11*n + 30. Calculate the least common multiple of s(1) and i(10).
40
Calculate the common denominator of ((-38)/8)/((-88)/(-32)) and -67/2.
22
Suppose -32 = -4*w + 3*m, 5*w - 2*m - 2*m = 40. Suppose 12 + w = 5*b. What is the common denominator of 107/14 and (2/b)/((-18)/858)?
42
Let z(c) = 60*c**3 + 8*c**2 - 3*c - 3. Let j(f) = 40*f**3 + 5*f**2 - 2*f - 2. Let a(h) = -8*j(h) + 5*z(h). Calculate the least common multiple of a(-1) and 4.
20
Let w = -696/13 + 1243/39. Calculate the common denominator of w and 121/6.
6
Suppose b - 287 = 5*w, -6*b + 5*w + 1455 = -b. Calculate the common denominator of -53/6 and (b/(-40))/(2/(-2)).
30
Suppose -5 = -u + 6*u, 2*g - 11 = -3*u. Calculate the lowest common multiple of g and 3.
21
Let w(i) = -i**2 + 4*i + 4. Let r(p) = 6*p**2 + 16*p - 3. What is the lowest common multiple of w(4) and r(-3)?
12
Let d be 18801/(-22770) + (-2)/(-11). Let i = -88/115 + d. Calculate the common denominator of 17/20 and i.
220
Suppose -2*p - 8 = -28. What is the lowest common multiple of 6 and (-6)/p + 904/40?
66
Suppose 0*v - 5*v - 2*h - 2 = 0, v - 5*h - 5 = 0. Suppose v = g - 1 + 3. Find the common denominator of -5/16 and (5/(-30))/(g/(-7)).
48
Suppose 0 = -5*v - w + 112, -5*w + 0*w - 100 = -5*v. What is the least common multiple of 26 and v?
286
Let b = -5387 - -64519/12. Let x = -496 - -3927/8. What is the common denominator of b and x?
24
Suppose 0 = -2*o + 5*o - 15. Calculate the lowest common multiple of (2 - o)/((-3)/4) and 20.
20
Suppose -4*o + 7*o = 3. Suppose 20 = -4*s - 5*r, 2 = r - 2. Let q = -2 - s. Calculate the smallest common multiple of q and o.
8
Suppose 5*z - 2461 = -6331. Let g = z - -3117/4. Find the common denominator of g and -17/9.
36
Let z = -17983/1262 - 1/2524. Calculate the common denominator of z and -49/22.
44
Let f = -175/82 + -3689/1230. Calculate the common denominator of -29/33 and f.
165
Suppose k + 0*k - 26 = 4*s, 28 = 2*k + 4*s. Let x be 30/(1 + -3) - 0. Calculate the smallest common multiple of k and x/(-3)*(-8)/(-10).
36
Let c = 10 - 0. What is the least common multiple of 2/10 + 645/25 + -4 and c?
110
Let k = -15/59 + 5137/944. Calculate the common denominator of k and -53/30.
240
Let v be -2605 - 1 - (11 - 9). Let r be 16/56 + v/14. Find the common denominator of -121/10 and (6/(-16))/(3/r).
20
Let b = 1 + 4. Suppose -w - 8 = -b*w. What is the smallest common multiple of w and 6?
6
Let y be 44/(-54) + (-12)/(-54). Let g = y - 655/216. Calculate the common denominator of (-22)/(-21)*3/(-4) and g.
56
Let b(l) = l**3 - 6*l**2 + 6*l + 1. Let r(s) = -s**2 + s + 5. Let c be r(0). What is the smallest common multiple of b(c) and 11?
66
Suppose s = 9 + 6. What is the lowest common multiple of s and 12?
60
Let b(u) = -3*u + 3. Let h be b(2). Let k be 0 + -1 - 2*h. Suppose 4*r - 4 = -16, 41 = k*w - 2*r. Calculate the least common multiple of 8 and w.
56
Let n = -78487037/72 + 1090146. Let a = -423/8 + n. Calculate the common denominator of a and (4/(-30))/(12/395).
18
Suppose 0 = 2*i - 78 + 6. Suppose x - 6*x + 18 = q, 5*x = 4*q + 3. Suppose q*b - i = b. Calculate the lowest common multiple of b and 18.
18
Suppose 2*i + 0*i - 16 = 0. Let u(n) = n**2 - 7*n + 1. Suppose 3*g - 2*h - 12 = 0, h + 2 = 3*g - 10. Calculate the smallest common multiple of u(i) and g.
36
Let r(v) = v - 5. Let a be r(11). Suppose -a = 4*u + 26. Calculate the common denominator of 4/(-8) - 31/u and -9/14.
56
What is the common denominator of -85/4 and 9/21 + (-106)/(-896)?
64
Suppose -1 = 4*q + 103. Let j be 15*5/((-50)/(-16)). Find the common denominator of q and (2/12)/((-3)/j).
3
Let d = 24 + -2. Let g(l) = 2*l - 4. What is the lowest common multiple of g(5) and d?
66
Let m = 160 - 304. Find the common denominator of 11/16 and 15/m*2*-100.
48
Suppose -5*f + 30 = i, 2 = 2*i - f - 3. Suppose 2*r + 4 = -6. Let t(h) = -h**3 - 5*h**2 - 2*h - 2. What is the lowest common multiple of i and t(r)?
40
Let c be -1*-4*(-2)/(-4). Suppose 0*z + 4 = c*z. What is the least common multiple of 20 and z?
20
Suppose 0 = 4*v + 14 + 2. Let c(u) = -205*u**2 + 4*u - 1. Let n be c(v). Let g = -52783/16 - n. What is the common denominator of g and -67/14?
112
Suppose 57 = 3*h + 3*i, -3*i - 27 = -2*h + 21. Calculate the lowest common multiple of h and 33.
231
Suppose -p = -5*s - 47, 5*s - 4*p + 41 = -p. What is the common denominator of s/(-25) + 154/(-10) and 17/4?
4
Let o = 8 + -1. What is the least common multiple of 10 and o?
70
Let b = 46 - 28. Let s be (2 + -35)*4/12. Let t = -7 - s. What is the least common multiple of b and t?
36
What is the common denominator of -31/16 and 1 - ((-194)/36 + -1)?
144
Let b(s) = 8*s**3 + 2*s - 1. Calculate the lowest common multiple of b(1) and 8.
72
Let p = -13 - -4. What is the lowest common multiple of 10 and 1*-15*6/p?
10
Let u = -408/11 - -26101/704. Let i = u - 275/64. Let m = 82/21 + -191/42. Calculate the common denominator of i and m.
112
Let y = 378/29 + -5545/174. Let f = 4545776017/319 + -14250070. Let w = 206/29 - f. What is the common denominator of y and w?
66
Let k = 9 + 13. What is the smallest common multiple of k and (-23)/(-4) + 1/4?
66
Let w be ((-10)/(-75))/((-1)/(-51)). Let b = 1/75 - 47/150. Let q = b + w. Find the common denominator of 9/4 and q.
4
Let g(a) = -a**3 - 7*a**2 - a - 5. Let v be g(-7). Suppose -5*h = -v - 8. What is the least common multiple of 14 and h?
14
Let j(i) = 4*i**2 + 2*i + 1. Let o be j(-1). Suppose -2*q = q + o*u + 36, -2*q - 39 = 5*u. Let p = 7064/3 - 2376. What is the common denominator of q and p?
3
Let t(z) = -z**3 + 7*z**2 + 11*z - 16. Calculate the least common multiple of t(8) and 10.
40
Suppose 0 = 2*o - 1 - 3. Suppose 21 = x - 4. Let l = 41 - x. What is the smallest common multiple of l and o?
16
Let f be (-23)/(-5) - (-6)/(-10). Suppose -1 = 3*w - f*w. Calculate the lowest common multiple of 2 and w.
2
Suppose 0 = -2*b - 3*b + 45. Let j(s) = 4*s - 6. Let a be j(5). What is the least common multiple of b and (-7)/(a/(-24)) - 2?
90
Let y be 0/(-1 + -1 - -3). Suppose -5*r + 74 + 1 = y. Let a = r - 6. What is the lowest common multiple of a and 5?
45
Find the common denominator of -17/22 and 11/(-16


: 1}. What is prob of picking 1 v, 1 y, 1 n, and 1 p?
1/35
Two letters picked without replacement from {s: 4, a: 3}. What is prob of picking 2 s?
2/7
Three letters picked without replacement from ovvooohhvooovvvovoh. What is prob of picking 1 o, 1 v, and 1 h?
63/323
What is prob of picking 1 k and 2 r when three letters picked without replacement from {g: 1, h: 2, r: 3, k: 1}?
3/35
Two letters picked without replacement from {q: 2, z: 4}. What is prob of picking 2 z?
2/5
Three letters picked without replacement from {i: 1, y: 17}. Give prob of picking 2 y and 1 i.
1/6
What is prob of picking 2 b when two letters picked without replacement from brzb?
1/6
Two letters picked without replacement from {e: 12, n: 4, k: 4}. What is prob of picking 1 k and 1 e?
24/95
What is prob of picking 1 p and 1 e when two letters picked without replacement from mememepepep?
3/11
Two letters picked without replacement from {e: 6, r: 4, g: 3}. Give prob of picking 2 r.
1/13
What is prob of picking 1 w and 1 k when two letters picked without replacement from {k: 1, l: 1, w: 2}?
1/3
Calculate prob of picking 1 w and 2 i when three letters picked without replacement from {w: 2, i: 9}.
24/55
What is prob of picking 1 n and 3 p when four letters picked without replacement from ppnnpnnnnnnn?
1/55
Four letters picked without replacement from {y: 1, o: 2, r: 1, a: 1}. What is prob of picking 1 a, 1 r, 1 o, and 1 y?
2/5
Two letters picked without replacement from bgnnnfnbnnggf. Give prob of picking 2 g.
1/26
What is prob of picking 1 d and 2 j when three letters picked without replacement from {y: 1, s: 3, d: 1, j: 5, w: 4, n: 1}?
2/91
Three letters picked without replacement from vvtvvvvvtvv. Give prob of picking 2 t and 1 v.
3/55
Two letters picked without replacement from {r: 5, a: 2, p: 1, b: 1}. Give prob of picking 1 r and 1 p.
5/36
Four letters picked without replacement from {t: 15, h: 5}. What is prob of picking 3 h and 1 t?
10/323
Two letters picked without replacement from {f: 2, h: 4}. What is prob of picking 2 h?
2/5
What is prob of picking 4 e when four letters picked without replacement from eeeeeeeee?
1
Calculate prob of picking 1 q, 1 z, and 2 v when four letters picked without replacement from zozvvlq.
2/35
Two letters picked without replacement from {p: 2, r: 1, m: 8, a: 1, f: 4}. Give prob of picking 1 r and 1 f.
1/30
Calculate prob of picking 3 w and 1 n when four letters picked without replacement from {q: 5, w: 4, n: 1}.
2/105
Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {u: 1, p: 1, x: 1, a: 2, g: 1, h: 1}.
1/21
What is prob of picking 1 p, 1 q, and 1 r when three letters picked without replacement from {p: 2, r: 1, z: 3, q: 1, k: 1, o: 4}?
1/110
Two letters picked without replacement from hkhkmkmwkvhv. What is prob of picking 2 v?
1/66
Three letters picked without replacement from annnfneefnfenenefn. Give prob of picking 1 n and 2 f.
1/17
What is prob of picking 2 x when two letters picked without replacement from {f: 15, x: 2, i: 3}?
1/190
Three letters picked without replacement from {t: 3, j: 4}. What is prob of picking 3 t?
1/35
Two letters picked without replacement from {b: 3, y: 1, z: 4, p: 1, c: 2, u: 1}. What is prob of picking 1 b and 1 u?
1/22
What is prob of picking 1 c, 2 s, and 1 k when four letters picked without replacement from kscksckskkc?
3/22
Four letters picked without replacement from usuquuquuqquqqquq. Give prob of picking 2 q and 2 u.
28/85
Two letters picked without replacement from uzuu. What is prob of picking 2 u?
1/2
What is prob of picking 2 r, 1 g, and 1 a when four letters picked without replacement from {r: 4, g: 4, a: 9, b: 3}?
72/1615
What is prob of picking 1 e and 1 l when two letters picked without replacement from {l: 7, e: 4, w: 2}?
14/39
Two letters picked without replacement from hlhshssllhsssssl. Give prob of picking 1 l and 1 h.
2/15
What is prob of picking 1 p and 2 d when three letters picked without replacement from {u: 1, d: 2, p: 1, b: 2}?
1/20
Calculate prob of picking 1 q and 3 y when four letters picked without replacement from {q: 1, g: 11, y: 8}.
56/4845
Three letters picked without replacement from staasttsmsaas. Give prob of picking 1 m and 2 a.
3/143
Three letters picked without replacement from kksjsnikkikiiiii. Give prob of picking 1 k, 1 j, and 1 n.
1/112
Four letters picked without replacement from {q: 5, y: 8, r: 2}. What is prob of picking 2 q, 1 r, and 1 y?
32/273
Four letters picked without replacement from bmpbpbbpppbpmbp. What is prob of picking 2 p and 2 m?
1/65
Calculate prob of picking 3 a when three letters picked without replacement from {m: 2, a: 4}.
1/5
Calculate prob of picking 1 e, 1 m, and 2 v when four letters picked without replacement from eeevmeeevmee.
16/495
Three letters picked without replacement from {f: 1, q: 1, y: 4, a: 1, r: 1, h: 4}. What is prob of picking 1 a, 1 r, and 1 f?
1/220
Two letters picked without replacement from {o: 3, m: 4, n: 2, g: 2, y: 2}. What is prob of picking 1 m and 1 g?
4/39
Four letters picked without replacement from nenne. What is prob of picking 3 n and 1 e?
2/5
Four letters picked without replacement from mnllihsm. Give prob of picking 1 i, 1 n, and 2 l.
1/70
Three letters picked without replacement from {g: 5, n: 2, d: 2}. Give prob of picking 1 d and 2 n.
1/42
Four letters picked without replacement from jrrrjjjrfrr. What is prob of picking 3 j and 1 r?
4/55
Calculate prob of picking 1 k and 1 r when two letters picked without replacement from kkrjrkkirirjrrrjvjr.
32/171
Two letters picked without replacement from {s: 2, j: 9, o: 6, x: 1}. What is prob of picking 1 s and 1 x?
2/153
Calculate prob of picking 1 l and 1 j when two letters picked without replacement from uakjulz.
1/21
Calculate prob of picking 4 u when four letters picked without replacement from {u: 9, y: 2, a: 2}.
126/715
Calculate prob of picking 1 m and 2 p when three letters picked without replacement from pjppjdppmjdjdjdjpd.
5/272
What is prob of picking 1 l and 1 z when two letters picked without replacement from fczlo?
1/10
What is prob of picking 2 b and 2 c when four letters picked without replacement from {s: 1, g: 1, b: 2, c: 3, u: 5}?
1/165
What is prob of picking 1 t and 2 h when three letters picked without replacement from {r: 1, w: 1, t: 1, h: 2, l: 1, q: 1}?
1/35
What is prob of picking 1 r, 1 a, 1 h, and 1 o when four letters picked without replacement from {r: 1, h: 2, o: 2, a: 2, i: 1, m: 1}?
4/63
Four letters picked without replacement from kkknkknnnkknnknnnkkn. Give prob of picking 1 n and 3 k.
80/323
Calculate prob of picking 2 z, 1 k, and 1 h when four letters picked without replacement from hkzzt.
1/5
What is prob of picking 3 a when three letters picked without replacement from {w: 1, y: 3, a: 3, p: 6}?
1/286
What is prob of picking 1 k, 1 t, and 1 h when three letters picked without replacement from tjkth?
1/5
Four letters picked without replacement from ppppptttppp. What is prob of picking 3 t and 1 p?
4/165
Two letters picked without replacement from vfuppufvfvvclpvufvcp. What is prob of picking 2 p?
3/95
What is prob of picking 2 j and 1 w when three letters picked without replacement from {w: 2, j: 9, s: 1, d: 7}?
24/323
Two letters picked without replacement from ghhwthwwgnnowo. What is prob of picking 1 g and 1 h?
6/91
Three letters picked without replacement from {h: 4, w: 6}. What is prob of picking 1 h and 2 w?
1/2
Calculate prob of picking 2 q, 1 d, and 1 f when four letters picked without replacement from {f: 4, q: 2, d: 1, j: 2}.
2/63
Two letters picked without replacement from gqxmmpgxgnmn. What is prob of picking 1 n and 1 x?
2/33
Two letters picked without replacement from efnjneefef. Give prob of picking 2 n.
1/45
Four letters picked without replacement from {d: 2, i: 7, k: 3}. Give prob of picking 2 k and 2 i.
7/55
Four letters picked without replacement from tylolqoooyaq. Give prob of picking 1 l, 2 t, and 1 q.
0
Four letters picked without replacement from {a: 7, r: 6}. What is prob of picking 2 r and 2 a?
63/143
Calculate prob of picking 1 d, 1 k, and 1 q when three letters picked without replacement from {k: 10, d: 1, q: 7}.
35/408
Calculate prob of picking 2 x, 1 d, and 1 y


3/6 + m**2 - 6*m. Let i be d(-11). Sort i, -4, -3.
-4, -3, i
Let o be (-10)/9*45/(-75). Let d be (-1)/(62/(-63) - -1). Let r = -314/5 - d. Sort -4, o, r.
-4, r, o
Let c(z) = 7*z - 60. Let y be c(9). Put 2, -2, -6, y in ascending order.
-6, -2, 2, y
Suppose -70 - 8 = -5*g + 2*u, u = -4*g + 65. Let m(p) = -p**2 + 17*p - 18. Let z be m(g). Sort 0, -1, z, -17.
-17, z, -1, 0
Let w = 63.8 - 7.8. Let r = w - 55.9. Let i = -7.04 + 7. Put i, r, -4 in increasing order.
-4, i, r
Let b = 2/43409 + -18535655/260454. Let s(r) = r**2 + 5*r - 13. Let l be s(7). Let f = b + l. Put f, -1, -0.1 in decreasing order.
-0.1, f, -1
Let o = -0.1 - 1.9. Suppose 5 = -5*f - 5. Let m be f*(-5)/(-20)*-2. Sort m, -0.2, o.
o, -0.2, m
Suppose 0 = -5*k + 5*p - 20, -6*k + 2*p = -2*k + 8. Sort 1.9, -5, -0.2, k in ascending order.
-5, -0.2, k, 1.9
Let o = 306 - 308. Sort o, 3, 4.
o, 3, 4
Let u be -1 + 0 - ((-36)/8)/9. Sort 1/10, 0.04, u in ascending order.
u, 0.04, 1/10
Let s = 144 + -109. Let j be ((-6)/10)/(7/s). Sort 1, -58, j, 0 in descending order.
1, 0, j, -58
Let v(l) = 5*l - 209. Let h be v(41). Sort 0, 4, 12, h in decreasing order.
12, 4, 0, h
Let o = 0.331 - 0.031. Put o, 5/7, -2 in decreasing order.
5/7, o, -2
Suppose -3*d - s - 4*s = -19, 0 = 2*d + 2*s - 14. Suppose 1133*p - 1140*p = 0. Put p, -3, d, -1 in decreasing order.
d, p, -1, -3
Suppose 5*k + 7 = g, -g - 2*g + 55 = 2*k. Suppose g = l - 2*l - 2*i, -2*i = -3*l - 11. Let z = -9 - l. Sort 5, z, 0 in decreasing order.
5, 0, z
Suppose -4*j + 25 = 9, -2*m + j = 8. Let c = m + 7. Let y be (2*-1 - -1)/((-21)/84). Sort c, 0, y.
0, y, c
Let g(f) = f + 1. Let m be g(3). Let v be (-2 - -1)/(2/12). Let n be 4/((-12)/15) - 12/v. Put n, -5, m in decreasing order.
m, n, -5
Let x be (4 - (-12)/(-2))*-56. Suppose -5*p + x = 3*p. Suppose 5*f = -4*u - 17, -4*u - p = 4*f + 2. Sort -2, u, 4 in ascending order.
u, -2, 4
Let v(t) = -t**2 + 2*t + 32. Let u be v(-5). Suppose 0 = 5*q + 3*q + 32. Sort 70, u, 2, q.
q, u, 2, 70
Suppose -17 = -4*b + g, -3*b - 1 = g - 5. Let q = -3 + 2. Put -7, b, q in ascending order.
-7, q, b
Let k be 28/(-18)*(441/(-14))/(-21). Put -1/8, k, 0, -3 in decreasing order.
0, -1/8, k, -3
Suppose 0 = -0*s + 6*s - 12. Let i = -15 - -18. Put -3, i, s in descending order.
i, s, -3
Let v be (-12)/1*(-4)/(-3). Let b be (-1)/(-1) - (-12)/v. Let y = -1587.3 - -1585.3. Sort y, -3, b in descending order.
b, y, -3
Let t = 1/1783 - 3587/37443. Sort 0, t, 2, -5 in decreasing order.
2, 0, t, -5
Suppose 3*z = z + 32. Suppose -2*a = 2*a + z. Suppose -3*w - 5*p + 4 = 3, 0 = 2*w - 3*p - 7. Sort -5, w, a in increasing order.
-5, a, w
Let l be 2/(-7) + (-75)/(-42). Let h be 1*(-2 + (-118)/2). Let z = h + 307/5. Sort 1, l, z.
z, 1, l
Suppose 3*c + 85 - 4 = 0. Let d = -2805 + 2802. Sort c, d, -5 in increasing order.
c, -5, d
Suppose -5*r = 2*d - 5, -d + 2 = -0*d + 2*r. Let q = -832 - -10814/13. Put q, d, -2/9, -0.8 in descending order.
d, q, -2/9, -0.8
Let o = 344 - 344. Let k = 2 - -2. Sort o, -1/4, -0.4, k.
-0.4, -1/4, o, k
Suppose 0 = -11*h - 87 + 109. Sort 0, -3, h, -1 in increasing order.
-3, -1, 0, h
Let z = -33.51 - -33. Let u = 0.41 + z. Let p be (-48)/22 - 4/(-22). Sort -0.3, u, p in ascending order.
p, -0.3, u
Let o = -81.1 - -78. Let x = o + 3. Put x, -1, 0.3 in decreasing order.
0.3, x, -1
Suppose -3*g - 3 = 5*i, -4*i + 3*g - 27 = i. Let k be ((1*6)/i)/((-12)/(-18)). Sort 4, k, -1, 5.
k, -1, 4, 5
Let c = -0.7 + -1.3. Suppose -4*n - 4*m + 36 = 0, 3 - 14 = -3*n + m. Let k be (n/(-15))/(22/12). Put c, k, 11 in descending order.
11, k, c
Let g be ((-68)/(-12) - 5)/(19/3). Let a = -2 + -1. Let x be (a*(-3)/3)/5. Sort x, g, -2/13 in descending order.
x, g, -2/13
Let o = 292.151 - 292. Let n = 0.249 + o. Let g(x) = x**2 - 9*x + 7. Let i be g(5). Put n, -0.4, i in descending order.
n, -0.4, i
Let w be 4/(36/(4 + 5)). Put w, 2/71, -3/8 in descending order.
w, 2/71, -3/8
Let i = 127/3 + -499/12. Suppose 32 = -3*r - 40. Let v be 1*1/(r/(-3)). Sort 0.1, v, i.
0.1, v, i
Let d(l) = -5*l**2 - 44*l - 44. Let k be d(-1). Sort 4, 81, k, 3 in ascending order.
k, 3, 4, 81
Let h be (-6 - 10)/(-8) - 4. Put 2, -2/3, -0.6, h in descending order.
2, -0.6, -2/3, h
Let b(s) = -6 - 9 + 2 - 3 + s. Let d = 28 - 16. Let p be b(d). Put -2, 2, p in descending order.
2, -2, p
Suppose 0 = -2*c - 1 - 1. Let b be ((-6)/8)/(c/(-4)). Suppose 4*g - 8*g + 16 = -2*a, 0 = 3*g + 4*a - 12. Put b, -21, g in increasing order.
-21, b, g
Suppose -2*t + 10 = 3*t - 5*z, 0 = 2*t + 4*z - 4. Suppose -3*j + 0*j - 21 = -4*d, -j = -t*d + 9. Sort 5, j, 15 in ascending order.
j, 5, 15
Suppose u - 3*u - 14 = 0. Let p(k) = k**3 + 5*k**2 - 4*k - 19. Let d be p(-5). Let n be d*12/(-4)*-1. Sort u, n, -3 in descending order.
n, -3, u
Suppose 298 = u + 301. Put 1, u, 2, 31 in descending order.
31, 2, 1, u
Let f = -3 - -4. Let k = 24.6 + -25. Sort 5, f, 3/7, k in ascending order.
k, 3/7, f, 5
Let k(v) = v**3 - v**2 - 6*v + 1. Let i = 22 - 19. Let t be k(i). Put -1, -4, t, -5 in increasing order.
-5, -4, -1, t
Let x = -1.9392 - 2.0608. Let o = 0.3 + -0.1. Let z = o + 0. Sort 1, z, x in decreasing order.
1, z, x
Suppose 0 = 4*o + o + 2*b - 18, -b - 5 = -o. Let s = 1 - o. Sort 1, -1, s in increasing order.
s, -1, 1
Let d = 25.2 + -24.9. Let v be (-2 - 0 - -1) + -3. Sort v, 2, d.
v, d, 2
Let c = -195.084 - -196. Let a = c + 0.084. Put -25, -1, 3, a in decreasing order.
3, a, -1, -25
Let m = 0.3 - -0.5. Let s = 1.6 + m. Let o = s - 2.5. Put 0.1, 2, o in decreasing order.
2, 0.1, o
Let i be ((-9)/6)/(1/(-2)). Suppose 0*a + a = 4*q - 15, -a + 5*q = 20. Suppose 3*z - 2*g = a, -3*z + 0*g = 4*g + 19. Sort i, -5, z.
-5, z, i
Suppose -3*k = 15, 3*z - 102*k + 107*k = -28. Suppose 12 = -5*g + 3*w, 2 = g + w + 6. Put g, 0, z, 3 in descending order.
3, 0, z, g
Suppose -10*m - 12 = -3*m - 11*m. Suppose i - 4*i - 12 = 0. Sort 0, i, 8, m in descending order.
8, m, 0, i
Suppose -48*h = -47*h - 18. Let n be (h/12 - 1)*(-16)/(-18). Let f = 0.05 + 0. Sort n, -0.1, f.
-0.1, f, n
Let j = 528 - 527.563. Let d = j - 0.037. Let r = -0.38 - 0.02. Sort r, d, 7 in ascending order.
r, d, 7
Suppose -8*j + 4*j + 160 = 0. Suppose -7*b + 3*o + j = -2*b, -b - 2*o - 5 = 0. Put 7, 0, 2, b in descending order.
7, b, 2, 0
Let j = -3.04 - 0.96. Let q = 7 + -10. Sort -1/5, q, j in ascending order.
j, q, -1/5
Let u be (-16)/(-6)*(-12)/8. Let x(g) = g**3 + 6*g**2 - 33*g - 57. Let f be x(-9). Sort 5, u, f, -2.
u, f, -2, 5
Let l be -1 - -2*(-29)/2. Let p be (-130)/238 + l/(-70). Put -2, 2, p in descending order.
2, p, -2
Suppose -29 = 32*d - 93. Sort 33, -4, d in descending order.
33, d, -4
Let u be (7/6 + -1)/((-54)/21528). Let c = u - -66. Sort -0.3, -1/2, c in descending order.
-0.3, c, -1/2
Let v = -1437 + 1453. Sort -3, 2, v, 1 in decreasing order.
v, 2, 1, -3
Let c be 14/(-12 + -2)*2/(-4). Put c, 89, -4, 0.1 in increasing order.
-4, 0.1, c, 89
Let t = -1.4625 - 0.0375. Sort 0.2, -5, t.
-5, t, 0.2
Let c = 6635/9 + -737. Put 26/5, c, -2 in descending order.
26/5, c, -2
Let r = -2.1 + 2. Suppose -10*g + 25 = 9 - 24. Put g, -1/3, r, 0.1 in ascending order.
-1/3, r, 0.1, g
Let h be (-1)/(-4) + 35/(-28). Sort h, -9, -22, -3 in increasing order.
-22, -9, -3, h
Suppose -4*f - 6*f = -30. Put 3/4, f, 2/7, 0.5 in descending order.
f, 3/4, 0.5, 2/7
Let n = 1064 - 1067. Put 2, -1/4, 0.1, n in decreasing order.
2, 0.1, -1/4, n
Let o = -411 - -1235/3. Let f = 0.04 - 1.04. Sort f, -4, o, -0.5 in descending order.
o, -0.5, f, -4
Suppose -8 + 16 = 4*x. Suppose -3*q = -0*q - l - 66, x*l = -3*q + 75. Sort 3, 0, q in descending order.
q, 3, 0
Let a = 26.93 - 26.9. Let y be (14/441)/((-1)/(-3)). Put a, 5, y in decreasing order.
5, y, a
Suppose -6*s + 3*s + 9 = 0. Suppose 4*f - 2*p - 22 = 0, -2*f - 5*p - s = f. Let u = 0.8 + -0.3. Put f, -1/3, u in descending order.
f, u, -1/3
Let m be 2 - (-1 - 40/(-4)). Let q(h) = h**3 + 6*h**2 - 7*h - 1. Let o be q(m). Sort 0, -3, 5, o in decreasing order.
5, 0, o, -3
Let w = -37 + 36. Let u(f) = f - 5. Let s be u(6). Let g = s + -4. Sort g, 3, w in descending order.
3, w, g
Let i = -65 - -76. Let z be (-3)/i*3/9*-2. Let m = 0.6 - 1. Put z, 0.3, m in descending order.
0.3, z, m
Let r be ((-3)/2)/(21/(-28)). Let n be 0/(-3 - (-3 - 2)). Suppose n*s + s = 4*y + 6, 4*y - 2*s = -8. Sort 3, r, y in descending order