 -28/3*h**3 + 1/30*h**5 - 41*h + 0 - h**4 + 5*h**2. Factor u(i).
2*(i - 14)*(i + 2)
Let i be 9/(-15) + (-219)/(-15). Suppose q + 12 = i. Let -41*c**2 - 3*c + 36*c**q + 5 + 3*c = 0. What is c?
-1, 1
Let c(h) = 7*h**3 + 658*h**2 + 655*h - 8. Let l(t) = -22*t**3 - 1973*t**2 - 1965*t + 28. Let d(p) = -7*c(p) - 2*l(p). Factor d(z).
-5*z*(z + 1)*(z + 131)
Factor -1960 + 262/5*o**2 - 2/5*o**4 - 12/5*o**3 + 168*o.
-2*(o - 7)**2*(o + 10)**2/5
Let f = -306943 - -3990261/13. Find t such that -8/13*t**2 - 2/13*t - f*t**3 + 12/13 = 0.
-3, -2, 1
Let c = 928700 - 928700. Factor c - 1/3*s**2 - 3*s.
-s*(s + 9)/3
Let y(w) be the first derivative of -w**4/2 + 8*w**3 + 103*w**2 + 180*w - 59. Factor y(q).
-2*(q - 18)*(q + 1)*(q + 5)
Let i = 99018 - 495086/5. What is q in 28/5*q - i*q**2 - 8 = 0?
2, 5
Let z be -4 - (-6 - 1 - (-12 - -25)). Suppose 12 + z = 14*s. Factor 1/4*j**s + 1/4*j + 0.
j*(j + 1)/4
Let s(o) be the second derivative of -5*o + 1/18*o**4 - 3 + 4*o**2 + 8/9*o**3. Find h, given that s(h) = 0.
-6, -2
Let z(k) be the first derivative of -5*k**4/6 - 43*k**3/9 - 2*k**2 - 1345. Factor z(p).
-p*(p + 4)*(10*p + 3)/3
Let p(b) be the second derivative of b**7/28 - 77*b**6/20 + 6321*b**5/40 - 25039*b**4/8 + 33614*b**3 - 201684*b**2 - 4649*b. Let p(f) = 0. Calculate f.
7, 28
Let i be 12/2*4*(-5)/(-300). Suppose -217*l = -156*l - 122. Solve -128/5 - i*r**l - 32/5*r = 0 for r.
-8
Let z(q) = -437*q**2 + 217*q**2 + 1 - q + 219*q**2. Let d(s) = -6*s**2 - s + 1. Let y(r) = 2*d(r) - 10*z(r). Factor y(g).
-2*(g - 2)**2
Suppose 0 + 1/3*z**2 - 7/3*z = 0. Calculate z.
0, 7
Let c(h) be the third derivative of -121*h**3 + 77/8*h**4 + 1/40*h**6 + 69*h - h**2 + h**5 + 0. Factor c(v).
3*(v - 2)*(v + 11)**2
Suppose 0 = 5*m - 2*s + 440, -4*m + s - 173 - 182 = 0. Let n be 18/(-20)*75/m. Factor -1/2*q - n*q**4 + 0 + 1/4*q**5 + 3/4*q**2 + 1/4*q**3.
q*(q - 2)*(q - 1)**2*(q + 1)/4
Factor 247392 + 221958 + h**2 + 261490 + 1472*h - 189144.
(h + 736)**2
Solve 812*j**4 - 3312*j**2 - 118*j**5 - 104*j**3 + 45*j**5 - 1380*j + 368*j**5 - 1212*j - 99*j**5 = 0.
-18/7, -1, 0, 2
Let b = -2466/83 + 7564/249. Factor -4/3 - 2/3*a + 4/3*a**2 + b*a**3.
2*(a - 1)*(a + 1)*(a + 2)/3
Let b(i) = i**2 + i - 1. Let n(k) = 3*k**3 + 41*k**2 - 76*k + 37. Let c(d) = -5*b(d) + n(d). Determine r, given that c(r) = 0.
-14, 1
Let c(f) be the third derivative of -2/5*f**5 + 2*f**2 + 4*f - 5/2*f**3 + 0 - 41/8*f**4. Factor c(k).
-3*(k + 5)*(8*k + 1)
Let w be (23/2)/((-15)/30). Let a be (30/75 - w/5) + -1. Find j, given that -12*j**2 - 16*j - a*j**3 - 1/2*j**4 - 8 = 0.
-2
Factor 1797/8 + 3/2*v**2 + 7191/8*v.
3*(v + 599)*(4*v + 1)/8
Let -120/7*n**2 + 480/7 + 4/7*n**3 - 16/7*n = 0. Calculate n.
-2, 2, 30
Let g be ((-828)/(-4536) + 17/(-238))/(1*1/51). Solve g*u - 1/3*u**2 + 0 = 0.
0, 17
Let c(b) = -13*b**2 - b. Let k(j) = -115*j**2 - 178*j + 4. Let i(d) = -2*c(d) + k(d). Factor i(x).
-(x + 2)*(89*x - 2)
Let j(o) be the third derivative of -1/20*o**5 + 0*o - 39*o**2 - o**3 + 3/8*o**4 + 0. Suppose j(y) = 0. What is y?
1, 2
What is l in 220*l + 1575*l**3 + 5*l**5 - 195*l**4 + 81*l - 1877*l**2 - 8820 + 5393*l**2 + 539*l + 3079*l**2 = 0?
-2, 1, 21
Let n(y) be the third derivative of 0*y + 2/21*y**3 - 1/210*y**5 + 0 - 1/84*y**4 + 43*y**2. Let n(g) = 0. Calculate g.
-2, 1
Suppose 0 = -2*y - v, 0 = -0*y - 4*y - 3*v. Suppose 10*o - 13*o + 414 = y. Factor 6 + o*s**2 - 7 + 76 - 180*s - 36*s**3 + 3*s**4.
3*(s - 5)**2*(s - 1)**2
Let s(u) be the third derivative of 25*u**5/24 - 25*u**4/8 + 10*u**3/3 + 11615*u**2. Let s(y) = 0. Calculate y.
2/5, 4/5
Suppose i = -b + 5, 7971*b - 10 = 7967*b - 2*i. Factor -2/5*w + b - 29/5*w**3 - 31/5*w**2.
-w*(w + 1)*(29*w + 2)/5
Let h(y) = 2*y**2 - 77*y + 28. Let f be h(38). Let s = f + 114/11. Factor s*t - 2/11*t**2 + 0 - 2/11*t**3.
-2*t*(t - 1)*(t + 2)/11
Let j be 0 + 2 + -4 + 8. Suppose -5*k = -2*k - j. Solve 3*s**k - 152 + 15*s - 3*s + 164 = 0 for s.
-2
Let d(x) be the second derivative of -x**4/60 - 13*x**3/10 - 99*x**2/5 - 3079*x. Factor d(k).
-(k + 6)*(k + 33)/5
Let q(z) = z + 11. Let p be q(13). Suppose -15*s - 27 = -p*s. Solve 12*i**4 - 1153 - 3*i**2 + 4*i**s + 4*i**5 - 8*i - 9*i**2 + 1153 = 0.
-2, -1, 0, 1
Let z be 3/7 - 20988/(-126). Suppose z*y**2 - 25 + 105*y + 17*y**3 - 287*y**2 + 3*y**3 = 0. Calculate y.
1/2, 5
Suppose -4*i = 4*g - 102 + 66, 0 = 4*i - 4*g - 4. Let y(x) be the first derivative of i*x**2 + 5*x + 5/3*x**3 + 12. Factor y(u).
5*(u + 1)**2
Let c(b) be the third derivative of -1/40*b**6 + 0*b + 7/6*b**4 - 6 + 2*b**2 + 4*b**3 + 1/10*b**5 - 1/210*b**7. Factor c(s).
-(s - 3)*(s + 2)**3
Let i(g) be the first derivative of -g**3/2 + 1467*g**2/2 - 717363*g/2 - 3143. What is q in i(q) = 0?
489
Determine s, given that 3/2*s**4 - 285/2*s - 117/2*s**2 + 21/2*s**3 - 75 = 0.
-10, -1, 5
Let w(y) be the third derivative of y**6/144 + 217*y**5/360 + 299*y**4/36 + 37*y**3/3 + 91*y**2 + 2*y. Find g, given that w(g) = 0.
-37, -6, -2/5
Let n(l) be the third derivative of -l**5/5 - 67*l**4/8 - 195*l**3/2 + 2403*l**2. Find p, given that n(p) = 0.
-13, -15/4
Let -3132/5*n**3 - 1584/5*n - 5848/5*n**2 - 1458/5*n**5 - 128/5 + 2430*n**4 = 0. What is n?
-2/9, 1, 8
Let k(z) = 41*z**2 + 7*z + 6. Let i be k(-1). Let 33*o - i*o + 7*o + 51*o**4 - 3*o**5 = 0. What is o?
0, 17
Let l be 134/(-2)*-2*5/(-10). Let p = -55 - l. Suppose -8*q + p + 4/3*q**2 = 0. What is q?
3
Let r(f) be the second derivative of -f**6/15 + 7*f**5 + 36*f**4 + 218*f**3/3 + 73*f**2 + 1896*f. Solve r(p) = 0.
-1, 73
Suppose 0 = 5*d - 3 - 17. Suppose 3 = d*q - 5. Factor -39*b**3 + 3 - 150*b**4 - 27*b**q + 3 + 3*b + 135*b**4.
-3*(b + 1)**3*(5*b - 2)
Let s(p) be the second derivative of p**7/14 - 17*p**6/10 + 81*p**5/20 + 45*p**4/4 + 69*p + 8. Solve s(r) = 0 for r.
-1, 0, 3, 15
Let s(q) = -1. Let i be (96/(-9))/((-4)/(-12)). Let f = i - -34. Let w(x) = 7*x**2 - 30*x + 5. Let k(l) = f*w(l) - 6*s(l). Factor k(g).
2*(g - 4)*(7*g - 2)
Find j such that -150273*j - j**3 + 215788 - 151765 + 830*j**2 - 22779*j + 278769 = 0.
2, 414
Let d(i) be the first derivative of -64*i**6/17 + 224*i**5/5 - 2843*i**4/34 - 1856*i**3/51 + 924*i**2/17 + 576*i/17 - 1059. Let d(q) = 0. What is q?
-3/8, 2/3, 2, 8
Let y(m) be the second derivative of 3*m**5/20 + 5*m**4/4 - 39*m**3 + 108*m**2 - 1199*m. Factor y(g).
3*(g - 6)*(g - 1)*(g + 12)
Let j(y) = -y**4 + 14*y**3 - 53*y**2 + 91*y - 55. Let p(n) = -3*n**3 - n - 9*n**3 + 1 + 8*n**3 + n**2 + 5*n**3. Let b(a) = 5*j(a) - 5*p(a). Solve b(z) = 0.
2, 7
Let -43*s**2 + 1444*s + 83*s**2 - 2 + 2 - 36*s**2 = 0. What is s?
-361, 0
Let d(i) = -2*i**2 - i + 23. Let u be d(3). Suppose 10 - 3*w**2 + 5*w**u - 7*w**2 + 5*w = 0. What is w?
-1, 2
Let c(p) be the first derivative of -p**5/45 - 10*p**4/9 - 200*p**3/9 - 19*p**2 - 105. Let j(x) be the second derivative of c(x). Suppose j(g) = 0. What is g?
-10
Suppose 22/3*v**3 + 5/6*v**5 - 2*v**2 + 0 + 0*v - 37/6*v**4 = 0. Calculate v.
0, 2/5, 1, 6
Let z(c) be the second derivative of -5/3*c**3 + 0 - 1/48*c**4 - 53*c - 50*c**2. Factor z(n).
-(n + 20)**2/4
Suppose -n = -10*f + 5*f - 25, 3*n - 24 = -2*f. Let g be ((-8)/(-10))/(2/n). Factor -24*h**3 - 75*h**g - 24*h - 186*h**3 - 121*h**2 - 11*h**2.
-3*h*(h + 2)*(5*h + 2)**2
Let c be (-4672)/(-1430) - ((-4095)/825 - -5). Factor -120/13*u**2 - 4/13 - 50/13*u**3 - c*u.
-2*(u + 2)*(5*u + 1)**2/13
Determine v so that 2/13*v**4 + 36/13*v**2 + 1728/13*v - 38/13*v**3 - 1728/13 = 0.
-6, 1, 12
Let f(w) = -w**2 - 27*w - 136. Let n(q) = -15*q - 135. Let s(d) = 3*f(d) - 4*n(d). Factor s(j).
-3*(j - 4)*(j + 11)
Let z(l) be the first derivative of -l**6/54 - l**5/15 + l**4/36 + 11*l**3/27 + 2*l**2/3 + 4*l/9 - 2254. Factor z(k).
-(k - 2)*(k + 1)**3*(k + 2)/9
Let i be -7*(-8)/56 + 1. Let 2*v**3 + 3*v**i + 163*v**4 + 3*v - 5*v**3 - 166*v**4 = 0. What is v?
-1, 0, 1
Suppose -k - 6*t + 18 - 21 = 0, 2*k + 2*t = 4. Let a(z) be the second derivative of 0 - 8*z**2 - 10/3*z**3 + k*z**4 + 23*z. Determine s so that a(s) = 0.
-4/9, 1
Let w(i) be the third derivative of i**7/490 - 41*i**6/280 - 44*i**5/35 - 45*i**4/14 + 722*i**2. Factor w(z).
3*z*(z - 45)*(z + 2)**2/7
Suppose -f - 16 = -32*y + 28*y, 2*f + 4*y - 16 = 0. Let c(t) be the second derivative of -11*t + 20/3*t**3 + 3/2*t**4 + 4*t**2 + f. Factor c(x).
2*(x + 2)*(9*x + 2)
Suppose -124*l + 84 = -73*l - 18. Let d 