p(s) = -2*s**2 - 28*s + 12. Let x be p(-14). Factor 38*d**2 - x*d + 11 + 3*d**3 - 18*d**2 + 1 - 23*d**2.
3*(d - 2)*(d - 1)*(d + 2)
Let x(r) be the second derivative of 8*r**2 - 8/3*r**3 + 2 + 1/3*r**4 + 4*r. Suppose x(b) = 0. Calculate b.
2
Let o(z) be the first derivative of z**7/4200 + z**6/600 - z**4/30 - 10*z**3 + 16. Let l(p) be the third derivative of o(p). Factor l(j).
(j - 1)*(j + 2)**2/5
Suppose -5*y + 21 = -3*j, -y + 2*y + 2*j = -1. Factor 16 - 5*d**y + 31*d - 15*d + d**3 - 4*d**2.
-4*(d - 2)*(d + 1)*(d + 2)
Let b(n) be the third derivative of n**6/160 + 13*n**5/240 + n**4/24 + 2*n**2 - 25*n. Solve b(c) = 0.
-4, -1/3, 0
Let a(h) = 10*h**5 + 5*h**4 + 3*h**3 - 5*h**2 - h - 6. Let v(j) = j**3 - 85*j + 85*j - 7 + j**5 + 6. Let n(x) = a(x) - 6*v(x). Factor n(i).
i*(i - 1)*(i + 1)**2*(4*i + 1)
What is v in 0 - 1/2*v - 1/4*v**2 = 0?
-2, 0
Find s such that -4/3*s**4 + 128/3*s - 24*s**2 - 12*s**3 + 128 = 0.
-4, -3, 2
Let g(o) be the first derivative of -o**6/24 + o**5/4 + 15*o**4/8 + 25*o**3/6 - 15*o**2/2 + 37. Let l(y) be the second derivative of g(y). Factor l(n).
-5*(n - 5)*(n + 1)**2
Let h(w) be the second derivative of w**6/600 + w**5/100 + w**4/60 - 8*w**2 + 12*w. Let j(d) be the first derivative of h(d). Find y, given that j(y) = 0.
-2, -1, 0
Let z(d) = -6*d**2 - 24*d - 50. Let q(a) = -32*a**2 - 121*a - 251. Let n(t) = -4*q(t) + 22*z(t). Solve n(g) = 0 for g.
-8, -3
Let -13*a**3 + 36*a**3 + 68 - 22*a**3 + 14*a**2 + 4 + 57*a = 0. What is a?
-8, -3
Let f = 56 - 40. Let 0*i**2 - 2*i - i**2 + f*i + 0*i**2 - 49 = 0. What is i?
7
Let 85*n**3 - 46*n**2 - 79*n**3 - 16 + 10*n**2 + 2*n**4 + 64 + 10*n - 2*n = 0. Calculate n.
-6, -1, 2
Let l(p) be the first derivative of -1/10*p**4 - 1/50*p**5 + 5 - 1/5*p**3 + 2*p - 1/5*p**2. Let b(x) be the first derivative of l(x). Solve b(q) = 0 for q.
-1
Let u = 38550 - 269844/7. Solve 6/7*b**5 - 30/7*b**4 - 48/7*b + 6*b**3 + u*b**2 + 24/7 = 0.
-1, 1, 2
Let l = 174 + -170. Determine q so that 0 - 3/4*q**3 - 3/2*q**2 + 0*q + 3/4*q**l = 0.
-1, 0, 2
Let k(a) be the first derivative of -3/32*a**4 + 0*a**2 + 0*a**3 + 0*a - 3/40*a**5 - 1. What is s in k(s) = 0?
-1, 0
Let i(y) be the second derivative of -y**7/14 + 2*y**6/5 + 32*y. What is r in i(r) = 0?
0, 4
Let n be -1 - (-1 + (-6)/3*2). Let v be (-3)/(-6)*(-1 - -7). Factor 11*x**4 - n*x**4 + 2 + 3*x**4 + 10*x + 2*x**5 + 18*x**v + 2*x**3 + 20*x**2.
2*(x + 1)**5
Let g = -288194/21 + 13718. Let w = 20/3 + g. What is v in -2/7 + 8/7*v**3 - 2/7*v**4 + w*v - 12/7*v**2 = 0?
1
Let a(n) be the second derivative of -n**6/42 - n**5/70 - 138*n. Factor a(o).
-o**3*(5*o + 2)/7
Let n be 1/7 + 66/63*-339. Let p = n - -1799/5. Solve p + 729*d**3 + 348/5*d + 1782/5*d**2 + 2187/5*d**4 = 0 for d.
-1, -2/9
Let i(s) be the third derivative of -s**8/1344 - s**7/420 + s**6/240 + s**5/60 - s**4/96 - s**3/12 - 9*s**2 + 1. Suppose i(y) = 0. What is y?
-2, -1, 1
Factor 2/3*p**2 - 26/3*p + 8.
2*(p - 12)*(p - 1)/3
Determine l, given that -12/11 + 1/11*l**2 - l = 0.
-1, 12
Suppose -8*o - 3*v - 6 = -11*o, 0 = 4*o - v - 11. Let -32/11*q + 98/11*q**2 - 8/11 + 392/11*q**o = 0. What is q?
-2/7, -1/4, 2/7
Let r(f) = 8*f**3 + 184*f**2 - 348*f + 172. Let c(s) = 5*s**3 + 183*s**2 - 348*s + 172. Let l(u) = -4*c(u) + 3*r(u). Suppose l(h) = 0. Calculate h.
1, 43
Factor -166*i**2 - i**4 + 24*i**3 + 488*i - 316*i - 121 + 92*i.
-(i - 11)**2*(i - 1)**2
Let f(p) be the third derivative of -p**8/1008 + p**7/630 + p**6/72 + p**5/60 - 2*p**2 + 4*p. Factor f(s).
-s**2*(s - 3)*(s + 1)**2/3
Determine t, given that 412/9*t**2 + 20/9*t**4 - 280/9*t + 712/9*t**3 + 0 = 0.
-35, -1, 0, 2/5
Let v = 26 + -24. Factor 49*b + 2*b**2 + 2 + 2*b**3 + 4*b**v - 43*b.
2*(b + 1)**3
Let j(f) = 12*f**3 - 7*f**2 - 12*f. Let r(d) = -8*d**3 + 5*d**2 + 8*d. Let a(x) = 5*j(x) + 7*r(x). Factor a(l).
4*l*(l - 1)*(l + 1)
Suppose -3*x = -4*x. Suppose u + x*u - 2 = 0. Suppose 4*v**u - 2*v**3 - v**2 + 8*v**3 + 2*v**4 + v**4 = 0. What is v?
-1, 0
Let v(w) be the third derivative of w**8/1176 - 13*w**7/735 + 4*w**6/105 + 94*w**5/105 + 16*w**4/21 - 256*w**3/21 + 461*w**2. Suppose v(o) = 0. Calculate o.
-2, 1, 8
Let m = -38 - 276. Let q = -1564/5 - m. Solve -q*c - 2/5*c**2 + 0 = 0 for c.
-3, 0
Suppose -2*m - 2*m + w + 12 = 0, -2*m + 6 = 2*w. Factor 2/5*n**m - 8/15*n - 2/15*n**4 + 0*n**2 + 0.
-2*n*(n - 2)**2*(n + 1)/15
Let a(s) = -3*s - 23. Let o be a(-7). Let m be 7 + ((-32)/o)/(-4). Determine w so that 2/3*w - 2/3*w**4 + 0 + 2*w**m - 2*w**2 = 0.
0, 1
Let i(s) be the second derivative of -1/30*s**4 - 12*s + 0 + 0*s**2 + 0*s**3 - 3/50*s**5. Determine w, given that i(w) = 0.
-1/3, 0
Let t(l) = 10 - 2*l + 5 + l. Let k be t(12). Determine r so that 3*r**3 - 3*r**4 + k*r**2 - r - 3*r + r = 0.
-1, 0, 1
Suppose 58*n - 212 = 78. Find t such that 5*t - 4/3 - 4/3*t**4 - n*t**3 + 8/3*t**2 = 0.
-4, -1, 1/4, 1
Let i(y) be the second derivative of 0 + 3*y + 1/18*y**4 + 64/3*y**2 - 16/9*y**3. Suppose i(x) = 0. Calculate x.
8
Let k(b) be the second derivative of 0*b**2 + 2/21*b**3 + 0 - 20*b + 1/42*b**4. Factor k(g).
2*g*(g + 2)/7
Factor -1/5*u**2 - 5184/5 + 144/5*u.
-(u - 72)**2/5
Let j(g) = -g**2 - 2*g. Let n(a) = -4*a**3 + 15*a**2 + 14*a - 64. Let p(q) = -j(q) + n(q). Suppose p(f) = 0. Calculate f.
-2, 2, 4
What is o in -137*o**2 - 31*o**2 - 791 - 97*o**2 + 2063 - 3375*o + 2373 - 5*o**3 = 0?
-27, 1
Let h(n) be the second derivative of 0*n**2 - 2/21*n**4 + 5*n + 0 + 2/21*n**3. Let h(a) = 0. What is a?
0, 1/2
Let f(j) be the first derivative of -4 + 1/10*j**5 - 1/2*j**4 - j**2 + j**3 + 1/2*j. Solve f(x) = 0.
1
Let s be (-6)/((-2*(-3)/(-6))/1). Factor -2*u - 2*u**2 + 3*u - 4 + s*u - u.
-2*(u - 2)*(u - 1)
Let o(a) be the second derivative of -a**5/4 - 35*a**4/12 + 85*a**3/6 - 45*a**2/2 + a + 29. Let o(h) = 0. What is h?
-9, 1
Let a(k) be the second derivative of -5*k**7/42 + k**6/30 + 23*k**5/50 - 7*k**4/30 - 7*k**3/10 + 9*k**2/10 - 281*k. Solve a(u) = 0 for u.
-1, 3/5, 1
Factor -16928 - 215*o - 2*o**2 - 383*o - 452*o + 682*o.
-2*(o + 92)**2
Let b(m) be the first derivative of m**4 + 0*m**3 + 0*m + 0*m**2 - 8 + 4/5*m**5. Factor b(t).
4*t**3*(t + 1)
Let c(b) = -389*b**3 - 859*b**2 - 643*b - 167. Let f(x) = -195*x**3 - 429*x**2 - 321*x - 84. Let a(j) = 3*c(j) - 5*f(j). Factor a(r).
-3*(4*r + 3)**3
Factor -3*m**4 + 18*m**3 - 186*m - 34 + 17*m**3 - 46*m**3 + 180*m**2 + 97 - 43*m**3.
-3*(m - 1)**3*(m + 21)
Let u(m) be the third derivative of m**8/40320 - m**5/15 - 14*m**2. Let j(f) be the third derivative of u(f). Factor j(i).
i**2/2
Let b(p) be the second derivative of -p**4/6 + 20*p**3/3 - 36*p**2 + p + 110. What is t in b(t) = 0?
2, 18
Let m(k) be the first derivative of -29/3*k**4 - 12/5*k**5 - 16 - 8/3*k - 10*k**2 - 44/3*k**3. Let m(u) = 0. What is u?
-1, -2/9
Let i be 10/6 - ((-598)/69)/26. Determine l, given that 36/13*l**3 + 4/13 - 42/13*l + 112/13*l**i - 20*l**4 + 150/13*l**5 = 0.
-2/3, 1/5, 1
Suppose 4*v + h = 6, 5 + 8 = 5*v + 4*h. Let x(l) be the first derivative of -v + 0*l - 1/5*l**2 + 2/15*l**3. What is z in x(z) = 0?
0, 1
Let o(h) be the first derivative of 3*h**5/40 + h**4/8 - h**3/4 - 3*h**2/4 - 4*h + 10. Let a(q) be the first derivative of o(q). Let a(x) = 0. What is x?
-1, 1
Suppose -3*j = 5*i - 24, -2*j - 6 = -6*i + 2*i. Let c be -2*(2/4 - 15/6). Suppose 11/4*s**c + 0 + i*s**5 + 1/2*s**3 + 0*s + 0*s**2 = 0. Calculate s.
-2/3, -1/4, 0
Suppose 0 = 11*s - 9*s - 8. Suppose -t + 2 = 6*f - 3*f, -2 = -s*f - t. Determine h so that -1/3*h**2 + f - 1/3*h = 0.
-1, 0
Let f(d) be the second derivative of d**7/105 - 8*d**6/75 - d**5/5 + 4*d**4/15 + 3*d**3/5 - 726*d. What is n in f(n) = 0?
-1, 0, 1, 9
Let p be 21/6 + 1 + (-18)/12. Let s be ((-3)/5)/(p + 78/(-20)). Determine z so that s*z**3 - 4/3 - 2*z + 0*z**2 = 0.
-1, 2
Let d = -1516 - -1518. Factor 4/9 + 38/9*t + 34/9*t**d.
2*(t + 1)*(17*t + 2)/9
Suppose 13/6 - 7/3*w + 1/6*w**2 = 0. Calculate w.
1, 13
Let j(w) = -3*w**5 + 5*w**4 + 11*w**3 - 5*w**2 - 20*w - 2. Let v(m) = 5*m**5 - 4*m**4 - 10*m**3 + 6*m**2 + 21*m + 3. Let p(n) = 3*j(n) + 2*v(n). Factor p(i).
i*(i - 1)*(i + 2)*(i + 3)**2
Factor 16/5*n + 2/5*n**2 - 8.
2*(n - 2)*(n + 10)/5
Suppose 8*d + 2 = 10*d. Let v be ((-1)/d)/(4/(-6)). Factor 9/4 + 1/4*l**2 - v*l.
(l - 3)**2/4
Suppose -3 = 17*u - 16*u, m + 4*u + 9 = 0. Factor 16/3*r**2 + 8/3*r + 2/3*r**4 + 0 +