z**2*(z - 2)*(z + 1)**2/17
Let h(z) = 25*z**4 - 1478*z**3 - 6983*z**2 - 8*z + 8. Let o(n) = 40*n**4 - 2463*n**3 - 11638*n**2 - 13*n + 13. Let t(i) = -13*h(i) + 8*o(i). Factor t(x).
-5*x**2*(x + 5)*(x + 93)
Let g(l) be the first derivative of -2*l**3/15 - 33*l**2/5 - 108*l - 750. Factor g(o).
-2*(o + 15)*(o + 18)/5
Let w(a) be the third derivative of a**8/4032 + a**7/70 + 7*a**6/180 + 41*a**5/30 + 2*a**2 - 180*a. Let x(c) be the third derivative of w(c). Factor x(j).
(j + 14)*(5*j + 2)
Let g(d) be the first derivative of -2*d**3/5 - 123*d**2/10 + 198*d/5 - 3679. Find t, given that g(t) = 0.
-22, 3/2
Let j(h) be the first derivative of h**4/4 - 28*h**3/3 + 119*h**2/2 - 92*h + 2777. What is g in j(g) = 0?
1, 4, 23
Factor -312/7*c**2 + 50/7*c**3 - 2/7*c**4 + 0*c + 0.
-2*c**2*(c - 13)*(c - 12)/7
Let u(c) be the first derivative of -4*c + 12/5*c**5 - 2*c**4 + 8 - 8/3*c**3 + 6*c**2 - 2/3*c**6. Factor u(v).
-4*(v - 1)**4*(v + 1)
Let x(l) be the second derivative of l - 1/20*l**4 - 1/10*l**3 + 18/5*l**2 + 41. Solve x(q) = 0.
-4, 3
Let g(h) = -360*h**2 + 13470*h - 99505. Let a(y) = -5*y**2 + 187*y - 1382. Let c(r) = 145*a(r) - 2*g(r). Determine d, given that c(d) = 0.
12, 23
Let q(r) be the first derivative of r**4/4 - 5*r**3 + 27*r**2 - 40*r + 461. Find a, given that q(a) = 0.
1, 4, 10
Let b be -1 + (2574/(-162))/(-13). Let d(u) be the first derivative of 1/2*u**2 + 8 - 1/12*u**4 + b*u**3 + 0*u. Factor d(n).
-n*(n - 3)*(n + 1)/3
Let o = 17 + -17. Suppose o = -d + 6*d - z - 35, 4*d - 14 = -2*z. Factor -20*c - 7 + 7*c**2 + d*c**2 - 17*c**2 - 9.
-4*(c + 1)*(c + 4)
Let f be 1392/17 - 64/(-544). Suppose -5*g + 97 = f. What is t in 0 + 4/3*t**g + 0*t - 2/3*t**2 - 1/2*t**4 = 0?
0, 2/3, 2
Let s(u) be the third derivative of 20*u**8/21 - 3056*u**7/105 - 11419*u**6/30 - 9418*u**5/15 - 2665*u**4/6 - 500*u**3/3 - 2831*u**2. Find i such that s(i) = 0.
-5, -2/5, -1/4, 25
Let q(f) be the first derivative of -1/2*f**2 + 6*f - 1/9*f**3 + 51. Solve q(g) = 0.
-6, 3
What is v in -53/2*v**2 - 30118/3 + 1184*v + 1/6*v**3 = 0?
11, 74
Let m(d) = 6*d**4 - 45*d**3 + 5*d**2 + d. Let r = 120 + -116. Let v(q) = -2*q**4 + 16*q**3 - 2*q**2. Let h(g) = r*m(g) + 11*v(g). Determine p so that h(p) = 0.
-1, 0, 1, 2
Let n(g) be the first derivative of -1/3*g**3 - 3*g - 134 + 2*g**2. Factor n(b).
-(b - 3)*(b - 1)
Let h be 595/7480 + 24/44. Determine k so that 9/8*k**2 + 1/4 + 7/8*k + 1/8*k**4 + h*k**3 = 0.
-2, -1
Solve 28*r**5 - 4*r**2 + 16*r**2 - 15*r**4 - 9 + 12*r**2 + 12*r + 22*r**5 - 44*r**5 - 18*r**3 = 0.
-1, 1/2, 1, 3
Suppose 11*i + 36 = 23*i. Factor -5*k**3 + 149*k**2 + 4*k**3 - 3*k**i + 229*k**2 + 15876*k + 222264 + 7*k**3.
3*(k + 42)**3
Let l(z) be the third derivative of -z**5/390 - 7*z**4/13 + 85*z**3/39 - 151*z**2 - 4*z + 3. Determine y, given that l(y) = 0.
-85, 1
Let b = -38 - -39. Let j be (-18)/b*21/(-14). Factor -j*g**3 + 3*g + 61*g**3 - 32*g**3 + 5*g**2.
g*(g + 1)*(2*g + 3)
Let h(p) be the first derivative of 10 + 1/12*p**4 - 1/6*p**2 + 11/9*p**3 - 11/3*p. Factor h(l).
(l - 1)*(l + 1)*(l + 11)/3
Let r(p) be the first derivative of p**6/3 - 152*p**5/5 - p**4 + 304*p**3/3 + p**2 - 152*p - 1739. Suppose r(k) = 0. Calculate k.
-1, 1, 76
Let d(b) be the third derivative of -b**8/84 - b**7/2 - 437*b**6/60 - 201*b**5/5 - 1001*b**4/12 - 121*b**3/2 + 1646*b**2. Determine v, given that d(v) = 0.
-11, -3, -1, -1/4
Suppose g - h - 688 = 4*h, 3*g - 3*h - 2112 = 0. Solve g*u + 701*u - 1353*u - 24*u**2 - 2*u**4 - 30*u**3 = 0.
-14, -2, 0, 1
Let b = -1/16 - 1399/16. Let a = b + 88. Suppose a*u**3 + 1/2*u - u**2 + 0 = 0. What is u?
0, 1
Suppose 0 = 33*x - 138 - 60. Let z(v) = 9*v**4 + 18*v**2 - 6*v. Let l(i) = -8*i**4 + 2*i**3 - 17*i**2 + 5*i. Let d(o) = x*l(o) + 5*z(o). Factor d(c).
-3*c**2*(c - 2)**2
Let q(v) = -2*v**2 - 29*v - 23. Let d be q(-14). Let f be (-40)/(-11) + d/(-36)*-8. Factor 0 - 4/11*h**3 - 8/11*h**5 + 0*h + f*h**4 + 0*h**2.
-2*h**3*(h - 2)*(4*h - 1)/11
Let -312/5 - 14*m + 2/5*m**2 = 0. What is m?
-4, 39
Let h = -19/92 - -1143/1748. Let p = h - -20/19. Find f such that -p*f**2 + 3/4*f**5 + 3/2 + 0*f**4 - 3*f**3 + 9/4*f = 0.
-1, 1, 2
Suppose -6/11*z**2 - 6/11 + 56/11*z**3 - 4*z = 0. What is z?
-3/4, -1/7, 1
Let y(k) be the third derivative of k**5/360 + k**4/24 - 2*k**3 + 583*k**2. Suppose y(r) = 0. What is r?
-12, 6
Factor -3500/3*b + 1531250/3 + 2/3*b**2.
2*(b - 875)**2/3
Let k(y) be the second derivative of y**6/240 + 7*y**5/240 + 5*y**4/96 + 30*y**2 + 211*y. Let l(u) be the first derivative of k(u). Factor l(j).
j*(j + 1)*(2*j + 5)/4
Let v be -1 + 3/9 + 102/(-9). Let t be 4/v*(-6 - 24/(-5)). Solve 0 + 0*q**2 - 2/5*q**3 + t*q = 0.
-1, 0, 1
Let a(h) be the third derivative of 1/168*h**8 + 6561/10*h**5 + 729/20*h**6 - 27*h**2 + 0*h**4 + 0*h**3 + 0 + 0*h + 27/35*h**7. Factor a(r).
2*r**2*(r + 27)**3
Let t(u) be the third derivative of u**8/1680 - u**7/105 - u**6/15 + u**5/30 + 13*u**4/40 - 131*u**2 + 1. Solve t(r) = 0 for r.
-3, -1, 0, 1, 13
Suppose 4*x - 57 - 67 = 0. Suppose 8*m + 17 = 9*m + 3*b, 3*m + 5*b - x = 0. Factor -2/3*s + 0 + 2/3*s**m.
2*s*(s - 1)/3
Let y = 26371/14 + -3767/2. Let q(g) be the second derivative of y*g**3 + 0 + 0*g**2 - 9/28*g**4 - 6*g. Factor q(k).
-3*k*(9*k - 2)/7
Suppose -5*p - p - 10 = -8*p. Let b(s) be the third derivative of 0 - 4/21*s**3 + 3/35*s**p + 17*s**2 + 0*s - 1/6*s**4. Factor b(j).
4*(j - 1)*(9*j + 2)/7
Suppose 4*l - 16 = 0, -1 = 2*u + 2*l - 12 - 1. Find m such that 18*m**u - 178/5*m - 44/5 = 0.
-2/9, 11/5
Let o(p) = -2*p. Let t be o(-1). Suppose -t*l + l - 5*g - 16 = 0, 3*l + 5*g + 8 = 0. Factor -19 - 81 - l*z**2 + 40*z + 0*z**2.
-4*(z - 5)**2
Find t such that 229*t**2 + 74*t**2 - 45*t**2 + 67*t**2 - t**3 + 6*t**3 + 2100 - 1720*t = 0.
-70, 2, 3
Let y(p) = -p - 24. Let n be y(-56). Let x be 48/n*(-10)/(-3). Factor 0*o + 12/7*o**2 + 0 + 26/7*o**3 + 2/7*o**x + 16/7*o**4.
2*o**2*(o + 1)**2*(o + 6)/7
Let p be 44/99 - 1892/(-2709). Factor 0 - p*d**3 + 4/7*d - 4/7*d**2.
-4*d*(d + 1)*(2*d - 1)/7
Let p(y) be the second derivative of -y**4/96 + 99*y**3/4 - 1187*y**2/16 - 967*y - 1. Solve p(t) = 0.
1, 1187
Let o(p) be the first derivative of 1/9*p**6 + 3/2*p**4 - 4*p**2 - 23 + 0*p + 4/5*p**5 - 8/9*p**3. Let o(m) = 0. Calculate m.
-3, -2, 0, 1
Suppose -60778*g - 2*n + 4 = -60774*g, -14 = -4*g + 3*n. Find o such that 2/3*o**3 - 16/3*o**g + 0*o + 0 = 0.
0, 8
Let x(n) be the first derivative of -n**7/210 + n**6/24 + 13*n**5/60 + 7*n**4/24 + 160*n**2 + 166. Let i(c) be the second derivative of x(c). Factor i(d).
-d*(d - 7)*(d + 1)**2
Let i(n) be the second derivative of -36*n**2 + 35*n + 14/3*n**3 + 2 + 1/3*n**4. Factor i(t).
4*(t - 2)*(t + 9)
Let o = -4754 + 4756. Let r(g) be the first derivative of -8/3*g**3 - 14 + 11/7*g**4 + 0*g + 8/7*g**o - 2/7*g**5. Factor r(c).
-2*c*(c - 2)**2*(5*c - 2)/7
Let r be (-108)/(-378) + 38/14. Let v(a) be the third derivative of 0 + 0*a**r - 1/84*a**4 + 0*a**5 - 3*a**2 + 0*a + 1/420*a**6. Solve v(b) = 0.
-1, 0, 1
Let q(r) = -r**4 - r**2. Let i(g) = -25*g**3 - 35*g**2 - 20*g. Let x = 189 + -190. Let b(p) = x*i(p) - 5*q(p). Factor b(a).
5*a*(a + 1)*(a + 2)**2
Let b be ((-24)/60)/((-1)/5). Let a be 2/6 + b*(-3)/126. Factor 2/7*t**3 + 2/7*t**2 - a*t - 2/7.
2*(t - 1)*(t + 1)**2/7
Let b(j) be the third derivative of 25*j**8/336 - 23*j**7/14 - 461*j**6/120 + 51*j**5/20 + 23*j**4/3 - 10*j**3 + 1508*j**2. Solve b(f) = 0 for f.
-1, 2/5, 15
Let o(y) be the third derivative of y**7/525 - 19*y**6/150 + 88*y**5/25 - 160*y**4/3 + 7168*y**3/15 - 982*y**2. Factor o(q).
2*(q - 14)*(q - 8)**3/5
Let f(l) be the second derivative of -3*l**5/10 + 73*l**4/6 - 260*l**3/3 + 3857*l. Let f(y) = 0. What is y?
0, 13/3, 20
Let u(n) be the first derivative of n**6/150 + 3*n**5/100 - n**4/20 - 7*n**3/30 + 3*n**2/5 - 42*n - 221. Let d(a) be the first derivative of u(a). Factor d(t).
(t - 1)**2*(t + 2)*(t + 3)/5
Let t be 8925/525 - 242/18. Factor 10/3*r + 2/9*r**3 + t*r**2 + 0.
2*r*(r + 1)*(r + 15)/9
Let o be (1485/24)/(-87*41/(-9512)). Factor -o*a - 75 - 363/4*a**2.
-3*(11*a + 10)**2/4
Let i = -602932 - -1809188/3. Determine c so that 4/3*c**2 + 9604/3 + i*c = 0.
-49
Let k(a) = 238*a**2 - 440*a + 442. Let o(v) = -143*v**2 + 220*v - 221. Let i(p) = -3*k(p) - 5*o(p). Let i(u) = 0. Calculate u.
-221, 1
Let h(b) be the third derivative of -8/33*b*