h) = -3*p(h) + 4*z(h). Suppose b(a) = 0. Calculate a.
-2
Let j(f) be the first derivative of -3*f**4/2 - 4*f**3/3 - 4*f**2/9 - 11*f - 4. Let u(k) be the first derivative of j(k). Suppose u(q) = 0. Calculate q.
-2/9
Let z be (-28)/14*(-15)/6. Let i(q) be the second derivative of 0 + 11*q + 1/2*q**2 + 1/2*q**4 + 1/5*q**z + 2/3*q**3 + 1/30*q**6. Factor i(x).
(x + 1)**4
Let q(n) = -11*n**2 - 3*n + 8. Let a(t) = t**2 - t. Let d(z) = 6*a(z) + q(z). Let p(y) = y**2 + y - 1. Let x(k) = -d(k) - 6*p(k). Factor x(i).
-(i - 2)*(i - 1)
Find y, given that -9/4*y + 1/2 - 5/4*y**2 = 0.
-2, 1/5
Factor -2/9*v**3 - 8/9 + 8/9*v + 2/9*v**2.
-2*(v - 2)*(v - 1)*(v + 2)/9
Solve -2/7*k**2 - 68/7*k - 578/7 = 0.
-17
Let k = -1300 + 1302. Factor -7/2*t - 3/2 - 5/2*t**k - 1/2*t**3.
-(t + 1)**2*(t + 3)/2
Let g(d) be the second derivative of -d**7/21 + 19*d**6/15 - 54*d**5/5 + 64*d**4/3 + 256*d**3/3 + 634*d. Find l, given that g(l) = 0.
-1, 0, 4, 8
Let v(y) be the second derivative of y**4/24 + 16*y**3/3 + 256*y**2 - 3*y + 3. Suppose v(n) = 0. What is n?
-32
Let y(v) be the third derivative of -3/112*v**8 + 0 + 3/20*v**6 - 12*v**2 + 1/5*v**5 + 0*v - v**3 - 3/8*v**4 - 1/35*v**7. Let y(l) = 0. Calculate l.
-1, -2/3, 1
What is a in 24/5*a - 6*a**2 + 8/5 + 8/5*a**3 = 0?
-1/4, 2
Let y(b) be the third derivative of -7*b**7/195 + 7*b**6/30 - 34*b**5/65 + 6*b**4/13 + 117*b**2. What is t in y(t) = 0?
0, 6/7, 2
Let q(m) be the third derivative of m**6/780 - 3*m**5/130 + 23*m**4/156 - 5*m**3/13 + 143*m**2. Factor q(j).
2*(j - 5)*(j - 3)*(j - 1)/13
Let o be ((-40)/70)/(1/(-7)). Suppose -2*c + c = -o*a - 9, c + 5*a = 0. Factor 4*r**2 + 3*r**5 + r**c + 12*r**4 + 10*r**3 + 2*r**3.
4*r**2*(r + 1)**3
Let k(b) = b**3 - 13*b**2 + 30. Let r be k(13). Let w be 0*5/r*3. Let -2/5*q + w + 2/5*q**3 + 0*q**2 = 0. What is q?
-1, 0, 1
Let g(i) be the third derivative of -i**7/735 - i**6/140 - i**5/70 - i**4/84 - 12*i**2 - 6. Factor g(k).
-2*k*(k + 1)**3/7
Let v be 3/2 + 203/(-174). Let u(n) be the first derivative of 0*n + n**2 + 4 + v*n**3. Find m such that u(m) = 0.
-2, 0
Let t(c) be the second derivative of -c**6/1260 + c**5/420 - 5*c**3/2 - 5*c. Let x(h) be the second derivative of t(h). Suppose x(u) = 0. Calculate u.
0, 1
Let f(g) be the second derivative of 1/2*g**4 + 0*g**2 - 1/3*g**3 - 3/10*g**5 + 0 + 5*g + 1/15*g**6. Let f(w) = 0. Calculate w.
0, 1
Factor -104/9*q**2 - 92 + 190/3*q + 2/9*q**3.
2*(q - 46)*(q - 3)**2/9
Let p = -22551 - -293165/13. Determine l, given that -44/13*l - p*l**2 - 242/13 = 0.
-11
Let y be (0 + (-63)/(-12) - 4) + (-42)/(-56). Suppose -7/6*u**y + 1/2*u + 5/6*u**3 - 1/6*u**4 + 0 = 0. Calculate u.
0, 1, 3
Suppose 5*z - 5*m = 70, -2*z = -4*z - 5*m + 7. Let q = z + -9. Solve -1/3*j**4 - j**q + 4/3 + 4/3*j - 4/3*j**3 = 0 for j.
-2, -1, 1
Let b(c) = 154*c + 13. Let f be b(-1). Let r = 145 + f. Factor -3*s**3 + 0*s - 3/4*s**r + 0 - 3*s**2.
-3*s**2*(s + 2)**2/4
Let c(f) be the third derivative of f**8/112 + 71*f**7/70 + 647*f**6/20 + 577*f**5/10 - 1295*f**4/8 - 1225*f**3/2 - 303*f**2. Suppose c(l) = 0. What is l?
-35, -1, 1
Let g(d) be the third derivative of -d**5/420 + d**4/21 - 912*d**2 + 2*d. Suppose g(a) = 0. What is a?
0, 8
Let a(y) = 75*y**4 - 315*y**3 + 164*y**2 + 302*y + 74. Let x(g) = 225*g**4 - 945*g**3 + 493*g**2 + 907*g + 223. Let u(n) = 7*a(n) - 2*x(n). Solve u(m) = 0.
-2/5, 2, 3
Suppose -10*j + z = -7*j - 12, 0 = -2*j + z + 8. Suppose 29 + 38*o - 1 - j*o**2 - 109*o + 47*o = 0. What is o?
-7, 1
Suppose 0 = 2*h - 1 + 11, -3*y + h = -11. Solve -2*f**2 - 6*f - 7*f**2 - 3*f**3 + 0*f**y = 0.
-2, -1, 0
Let v(b) = b**3 + 17*b**2 - 16*b + 44. Let w be v(-18). Solve w + 7*z**3 - 9*z**3 - 6*z - 10*z**2 + 10 = 0 for z.
-3, 1
Let l = -36574 + 36577. Find p such that 20/9 + 7/9*p**l - 47/9*p**2 + 56/9*p = 0.
-2/7, 2, 5
Let 9*v**3 + 0 - 81/2*v**2 - 1/2*v**4 + 54*v = 0. What is v?
0, 3, 12
Let o(d) = -22*d**4 + 17*d**3 - 63*d**2 + 63*d - 5. Let v(w) = -9*w**4 + 9*w**3 - 32*w**2 + 30*w - 2. Let a(r) = -2*o(r) + 5*v(r). Factor a(b).
-b*(b - 6)*(b - 4)*(b - 1)
Let m = 152 + -758/5. Factor 0 - m*o + 2/5*o**2.
2*o*(o - 1)/5
Let x(y) = -4*y + 4 - 13*y - 7*y**2 + 0 + y**3 - 10. Let d be x(9). Solve -2/5*k**4 + 4/5*k**2 - 2/5*k**d + 0*k + 0 = 0.
-2, 0, 1
Let c(h) be the second derivative of -3*h**2 + 0 - 9/20*h**5 + 1/4*h**4 + 1/10*h**6 + 5*h + 3/2*h**3. Factor c(p).
3*(p - 2)*(p - 1)**2*(p + 1)
Let x be 8/(-56) - (-22)/56. What is o in -1/4*o**2 - x*o**3 + 1/4*o**4 + 1/4*o + 0 = 0?
-1, 0, 1
Find m, given that 1396*m**5 + 31*m**4 - 75*m**3 + 49*m**4 - 1401*m**5 = 0.
0, 1, 15
Suppose -4*t + 5*b = 2, 0 = 2*t - 3*b + 3 - 1. Let z be ((-2)/(-2))/(460/345). Let -3/4*p**t + 0 - z*p = 0. What is p?
-1, 0
Suppose 2*f**3 - f + 6*f**2 - 6 + 3 - 47*f**5 - 3*f**4 - 43*f**5 + 89*f**5 = 0. Calculate f.
-3, -1, 1
Let b = -204/11 + 623/33. Let 2/3*q + 1/3 + b*q**2 = 0. What is q?
-1
Solve 3*o**3 - 30*o - 5*o**5 - 15*o**4 + 294*o**2 + 12*o**3 - 121*o**2 - 138*o**2 = 0 for o.
-3, -2, 0, 1
Let k(r) be the second derivative of -r**4/6 + 140*r**3/3 - 4900*r**2 - 67*r - 1. Factor k(u).
-2*(u - 70)**2
Solve 10*b - 15/2*b**2 + 0 = 0.
0, 4/3
Factor -3/7*a**4 + 18/7*a - 18/7*a**3 + 3/7*a**2 + 0.
-3*a*(a - 1)*(a + 1)*(a + 6)/7
Let o(d) = -d**2 - 2*d + 2. Suppose 5*p - 2*p + 2 = -4*c, 4*p - c = -9. Let l be o(p). Factor -103*h**3 - 2*h**2 + 103*h**3 + l*h**4.
2*h**2*(h - 1)*(h + 1)
Let a = -1727 + 1730. Let x = -1/18 - -5/9. Factor 16*y + x*y**4 + 4*y**a + 8 + 12*y**2.
(y + 2)**4/2
Factor 2/9*n**2 - 8/9 + 2/3*n.
2*(n - 1)*(n + 4)/9
Let o be -6 - (2 + -6 + -4). Let y(b) be the first derivative of -o + 1/9*b**6 - 2/5*b**5 - 2/9*b**3 + 0*b**2 + 1/2*b**4 + 0*b. Factor y(t).
2*t**2*(t - 1)**3/3
Suppose 4*v + z - 17 = 0, 395*z - 390*z = -6*v + 43. Suppose 3/4*k**v - 3*k**2 + 15/4*k - 3/2 = 0. What is k?
1, 2
Let b(f) be the third derivative of f**8/2520 - 17*f**7/1575 - f**6/450 + 17*f**5/225 + f**4/180 - 17*f**3/45 - 853*f**2. Suppose b(n) = 0. Calculate n.
-1, 1, 17
Let p(y) be the third derivative of -y**6/20 + 19*y**5/360 + 5*y**4/48 + y**3/18 + 2*y**2 + 10. Find j, given that p(j) = 0.
-1/4, -2/9, 1
Suppose -5*m + 30 + 105 = 0. Let s be (-1)/2*0 - (-9)/m. Factor o - s*o**2 - 2/3.
-(o - 2)*(o - 1)/3
Let j be (-14)/(-6) - (-2)/(-6). Find h, given that -37*h**j + 38*h**2 + 1 + 3*h + 1 = 0.
-2, -1
Factor -124/11 + 8/11*w**2 + 494/11*w.
2*(w + 62)*(4*w - 1)/11
Let m(y) be the first derivative of 12/25*y**5 - 4/5*y**3 + 3/10*y**4 + 1/10*y**6 - 9/10*y**2 - 11 + 0*y. Let m(s) = 0. Calculate s.
-3, -1, 0, 1
Let b(q) be the third derivative of 5*q**8/672 + q**7/84 - q**6/24 - q**5/12 + 5*q**4/48 + 5*q**3/12 + 147*q**2. Let b(j) = 0. Calculate j.
-1, 1
Suppose 5*d - d - 25 + 17 = 0. Let 12/7*o**d + 20/7*o - 20/7*o**3 + 4/7*o**4 - 16/7 = 0. Calculate o.
-1, 1, 4
Suppose 10*r + 27*r**2 - 39*r**2 + 17*r**2 = 0. Calculate r.
-2, 0
Suppose -7 = -k + 2. Factor -4*u - 4*u**5 - u**4 - 12*u**2 + k*u**4 - 2*u**4 + 6*u**4 - u**3.
-u*(u - 2)**2*(2*u + 1)**2
Let -2/13*k**2 + 0 + 4/13*k**3 - 12/13*k = 0. Calculate k.
-3/2, 0, 2
Suppose 4*n - 2*i - 5 = n, -7 = n - 5*i. Suppose 7*d = n*d. Factor -1/4*j**2 + d + 0*j.
-j**2/4
Suppose 2 = 5*p - 2*k, 0*p - 3*k = -3*p + 3. Suppose 8*v - 5*v - 9 = p. Factor 0*r**v + 10*r + 0*r**2 + 8*r**2 + 4 + r**3 + r**3.
2*(r + 1)**2*(r + 2)
Suppose 3*l - 5*n - 7 = 0, 2*l + 2*n + 3*n = 13. What is k in -4*k**5 + l + 23*k + 61*k**2 + 4*k**4 - 15*k**2 + 17*k**3 + 18*k**3 = 0?
-1, -1/2, 4
Suppose -3*n - 12 + 3 = 0. Let o(m) = 1. Let b(y) = -3*y**3 + 3*y - 3. Let r(x) = n*o(x) - b(x). Find g, given that r(g) = 0.
-1, 0, 1
Let v(f) = f**3 - 2*f**2 + 1. Let y(r) = 2*r**5 + 8*r**4 - 133*r**3 + 490*r**2 - 736*r + 395. Let t(c) = -22*v(c) + 2*y(c). Let t(q) = 0. Calculate q.
-12, 2
Suppose -i + 0 + 3/2*i**2 - 3/2*i**4 + 1/2*i**5 + 1/2*i**3 = 0. Calculate i.
-1, 0, 1, 2
Let p(m) be the second derivative of m**4/48 + 7*m**3/24 + 5*m**2/4 - 2*m + 34. Factor p(k).
(k + 2)*(k + 5)/4
Factor -4*p**2 - 1/2*p + 1 - 5/2*p**3.
-(p + 1)**2*(5*p - 2)/2
Let d(t) = -t**3 + 3*t**2 + 20*t - 47. Let y be d(5). Suppose 1/2*a**y + 18*a + 0 + 6*a**2 = 0. What is a?
-6, 0
Let u be (-26)/(-5) - 1090/327*6/4. Solve -1/5 - 1/5*j**3 + u*j**2 + 1/5*j = 0.
-1, 1
Let i(s) be the third derivative of 4/5*s**5 + 1/5*s**6 + 2/105*s**7 - 18*s**2 + 