132/5*h.
-3*(h - 1)*(h + 45)/5
Let n(y) be the first derivative of y**3/12 + 93*y**2/4 - 187*y/4 - 168. Factor n(z).
(z - 1)*(z + 187)/4
Let q = -7539/50 - -8319/50. Factor q*y**2 - 24/5 + 12*y + 21/5*y**3.
3*(y + 2)**2*(7*y - 2)/5
Let b(c) = c**2 - 2*c + 2. Let h be b(2). Solve -5*n**2 + 7*n**h - 3 + 2*n**2 - n**2 = 0.
-1, 1
Let g(v) = v**2 + 7*v - 10. Let t be g(-9). Let d = 31305 - 31303. Factor 0*x**d + 0 - 4/3*x**3 - 20/3*x**4 - t*x**5 + 0*x.
-4*x**3*(2*x + 1)*(3*x + 1)/3
Factor 1/3*d**2 - 484/3*d + 58564/3.
(d - 242)**2/3
Factor 8*c**4 - 784/3*c - 88/3*c**3 + 0 - 1/3*c**5 - 224*c**2.
-c*(c - 14)**2*(c + 2)**2/3
Suppose 7*j - 25 = 17. Let i be (12/8)/(j/8). Find h such that 5*h**i + 287 - 5*h**3 - 287 = 0.
0, 1
Let g(r) be the first derivative of r**8/540 - 2*r**7/189 + 2*r**6/135 - 32*r**3 + 70. Let f(n) be the third derivative of g(n). Factor f(p).
4*p**2*(p - 2)*(7*p - 6)/9
Let d(z) = -15*z**3 - 48*z**2 - 16*z. Let r(w) = 8*w - 25*w**2 + 49*w**2 + 8*w**3 + 0*w + 0*w. Let m(p) = -2*d(p) - 5*r(p). Factor m(v).
-2*v*(v + 2)*(5*v + 2)
Suppose 0 = -10*i - 0*i + 540. Suppose i = 3*l + 3. Find k such that 0*k**4 + l*k**5 + 16*k**5 - 3*k**4 - 36*k**5 = 0.
-1, 0
Let a(b) be the third derivative of -b**5/30 + 929*b**4/12 + 1862*b**3/3 + 4*b**2 - 692*b. Factor a(o).
-2*(o - 931)*(o + 2)
Let o = 8441/52173 - -95/4743. Find y such that o - 5/11*y + 4/11*y**2 - 1/11*y**3 = 0.
1, 2
Suppose -c - 321 = -p + 259, 0 = c + 2*p + 586. Let k = c + 585. Suppose -108*y**4 - 160/3*y**2 + 16/3*y + 156*y**k + 0 = 0. What is y?
0, 2/9, 1
Let p(l) be the first derivative of -3*l**5/25 - 3*l**4/10 + l**3/5 + 3*l**2/5 - 1129. Factor p(y).
-3*y*(y - 1)*(y + 1)*(y + 2)/5
Let v(s) be the second derivative of -s**4/28 - 107*s**3/14 - 45*s**2 + 1541*s. Solve v(b) = 0 for b.
-105, -2
Let s be 18 + -16 + 60/4 + -13*1. Solve 1/5*u**5 + 2/5*u**2 + 0*u**s + 0 + 0*u - 3/5*u**3 = 0.
-2, 0, 1
Let v = 6742 + -33708/5. Determine u so that 36/5*u**4 - 3*u - 34/5*u**2 + 27/5*u**5 - v - 12/5*u**3 = 0.
-1, -2/3, -1/3, 1
Suppose 4*j + 28 = -2*a, -4*a + 3 = -3*j + 4. Let b be -1*((a - 1) + 3). Find x such that 6 + 3/2*x**b + 6*x = 0.
-2
Let h(z) be the first derivative of -z**6/30 - 86*z**5/25 - 63*z**4/5 - 50*z**3/3 - 83*z**2/10 - 3043. Determine p so that h(p) = 0.
-83, -1, 0
Let d(v) = 11*v + 153. Let u be d(-11). Suppose -5*y = -u + 22. Factor 1/4*n**y + 0 - 1/4*n.
n*(n - 1)/4
Let k(v) be the second derivative of -8/3*v**2 - 1 + 1/36*v**4 - 128*v + 1/3*v**3. Factor k(h).
(h - 2)*(h + 8)/3
Let n(w) = -3*w**2 + 4*w - 5. Suppose 4*h - 9*h + 2*p = -20, h = -p - 3. Let k(g) = 16*g**2 - 19*g + 25. Let u(f) = h*k(f) + 11*n(f). Factor u(j).
-(j - 5)*(j - 1)
Suppose 31 = -11*u + 64. Factor -11*z - 11*z - 2*z**3 + 4*z**u + 14*z**2 - 12*z + 18.
2*(z - 1)**2*(z + 9)
Let u(c) be the second derivative of -2*c**5/5 + 181*c**4/3 - 530*c**3/3 - 356*c**2 + 9786*c. Solve u(g) = 0.
-1/2, 2, 89
Let a(n) be the third derivative of 1/60*n**5 + 0 - 2*n**2 + 29/24*n**4 + 63*n - 5*n**3. Factor a(b).
(b - 1)*(b + 30)
Let q be 115/(-46)*(-116)/(-10). Let x = q - -34. Factor w**3 + 28*w**4 - 3*w - 28*w**4 - 3*w**x + 5*w**3.
-3*w*(w - 1)**2*(w + 1)**2
Let j(i) be the third derivative of i**7/840 + i**6/32 - 9*i**5/80 - 715*i**4/96 + 121*i**3/4 + 1796*i**2. Solve j(t) = 0 for t.
-11, 1, 6
Let g(t) be the first derivative of 18*t**5/65 - 3*t**4 + 410*t**3/39 - 216*t**2/13 + 160*t/13 + 1156. Determine k so that g(k) = 0.
1, 4/3, 5
Suppose -4*q + 6*q = 4. Factor -25*c**q + 26*c**2 + 30*c + 2*c**2.
3*c*(c + 10)
Let w(a) be the first derivative of 2*a**3/9 + 61*a**2/3 - 794. Determine u so that w(u) = 0.
-61, 0
Let c(h) be the third derivative of -h**6/96 + 9*h**5/8 - 2305*h**4/96 - 215*h**3/2 + 3573*h**2 + h. Let c(u) = 0. What is u?
-1, 12, 43
Let d = -46/1849 + 183281/9245. Factor d*o**2 - 54/5*o + 3/5 - 48/5*o**3.
-3*(o - 1)**2*(16*o - 1)/5
Let m = 92121/2 + -46059. Factor m - 11/2*c - 2*c**2.
-(c + 3)*(4*c - 1)/2
Let c(n) be the second derivative of n**4/30 + 632*n**3/15 + 631*n**2/5 + 1788*n. Factor c(t).
2*(t + 1)*(t + 631)/5
Factor 86/3*k**3 + 0*k - 85/3*k**2 + 0 - 1/3*k**4.
-k**2*(k - 85)*(k - 1)/3
Determine k so that -4/5*k**3 + 5976/5 + 128*k**2 + 3948/5*k = 0.
-3, 166
Let l(x) be the first derivative of -254 - 43/6*x**3 + 40/3*x**2 + 3/8*x**4 - 26/3*x. Find o, given that l(o) = 0.
2/3, 13
Let q(l) be the first derivative of -2*l**5/55 - 69*l**4/11 + 280*l**3/11 - 422*l**2/11 + 282*l/11 - 5342. Factor q(a).
-2*(a - 1)**3*(a + 141)/11
Let w(o) be the first derivative of -5*o**3 + 0*o**2 + 0*o + 113 - 5/2*o**4 + o**5. Let w(p) = 0. Calculate p.
-1, 0, 3
Let c = 220215/22 + -19749/2. Suppose -1134/11*q + 524/11*q**3 - c*q**2 + 18/11*q**5 - 196/11 + 228/11*q**4 = 0. Calculate q.
-7, -1/3, 2
Let v(o) = -37*o + 6. Let c be v(-1). Suppose 0 = -14*y - 1 + c. Find u, given that 0 + 1/8*u**y + 1/8*u**2 + 0*u = 0.
-1, 0
Suppose 41064*l + 218*l**2 - 539*l**2 - 40368 + 46*l**2 + 3*l**3 - 424*l**2 = 0. What is l?
1, 116
Let p = 4641 + -4639. Let d(c) be the first derivative of 15/2*c**p - 3 + c**3 - 18*c. Factor d(a).
3*(a - 1)*(a + 6)
Let d be -5 + 74/14 + 173/7. Factor 9*a**2 + 20 - d*a - 19*a**2 + 15*a**2.
5*(a - 4)*(a - 1)
Let k(l) be the first derivative of -5*l**6/3 - 17*l**5 - 225*l**4/4 - 45*l**3 + 135*l**2/2 - 256. Find x, given that k(x) = 0.
-3, 0, 1/2
Let q(g) be the first derivative of -3*g**2/2 + 28*g + 12. Let x be q(8). Factor 100*z**2 + 85*z**3 + 20*z**4 - 9 + 0*z**x + 9 + 20*z.
5*z*(z + 2)**2*(4*z + 1)
Let r be 82/7 + 38/133. Factor 2*z**2 - 7 - 16 - 17 + r - 10*z.
2*(z - 7)*(z + 2)
Let p(n) = -2*n**3 - 143*n**2 + 682*n - 150. Let j be p(-76). Suppose -13/2*r**3 + 1/2*r**4 - 6*r - 36 + 23*r**j = 0. Calculate r.
-1, 2, 6
Let f(n) be the second derivative of -n**9/1512 - n**8/336 - n**7/210 - n**6/360 - 77*n**3/3 + 7*n. Let t(r) be the second derivative of f(r). Solve t(c) = 0.
-1, -1/2, 0
Let k(r) = -r**3 - 40*r**2 - 38*r + 39. Suppose s = -5*b - 5 - 34, -5*b = -2*s - 78. Let n be k(s). Factor -1/3*t + n - 1/6*t**2.
-t*(t + 2)/6
Let y(p) be the second derivative of -p**5/180 - 53*p**4/108 - 25*p**3/27 + 52*p**2/9 - 1683*p. Factor y(g).
-(g - 1)*(g + 2)*(g + 52)/9
Let b(s) be the third derivative of -s**5/240 - 845*s**4/48 - 714025*s**3/24 + 73*s**2 + s. Solve b(r) = 0 for r.
-845
Solve -3/5*o**5 - 489/5*o**4 - 19182/5*o**3 + 20667/5 - 61503/5*o + 12102*o**2 = 0 for o.
-83, 1
Suppose -175 = -60*d - 55. Factor 104/5*l - 2/5*l**d - 1352/5.
-2*(l - 26)**2/5
Let s(y) = y**3 - 39*y**2 + 106*y - 108. Let i(p) = 9*p**3 - 393*p**2 + 1059*p - 1080. Let m(o) = -2*i(o) + 21*s(o). Factor m(n).
3*(n - 6)*(n - 3)*(n - 2)
Let q(s) = 20895*s - 167156. Let w be q(8). Determine z so that -2/7*z**5 - 16/7*z**3 + 24/7*z**w - 68/7*z**2 + 18/7*z + 44/7 = 0.
-1, 1, 2, 11
Let g be ((2004/(-16366))/(2/7))/(-1). Let 0 - 3/7*l**2 + g*l = 0. What is l?
0, 1
Let 405*q**3 - 2*q**4 - 9*q**4 - 405*q + 1260 - 1265*q**2 - 17*q**4 + 33*q**4 = 0. What is q?
-84, -1, 1, 3
Factor 3/4*d**3 + 168*d - 165 - 177/4*d**2.
3*(d - 55)*(d - 2)**2/4
Let j(h) be the first derivative of h**6/360 - 17*h**5/1320 + h**4/44 + 2*h**3 - 4*h + 111. Let u(p) be the third derivative of j(p). What is z in u(z) = 0?
6/11, 1
Suppose -463/5*n - 1/5*n**2 + 1398/5 = 0. Calculate n.
-466, 3
Let t = -2513/2724 + 304/227. Factor t*v - 1/12*v**3 - 1/12*v**2 - 1/4.
-(v - 1)**2*(v + 3)/12
Let r(g) be the first derivative of 1/8*g**4 + 9*g**2 + 16*g + 2*g**3 - 114. Factor r(p).
(p + 2)**2*(p + 8)/2
Let a(b) be the third derivative of b**8/3192 + 18*b**7/95 - b**6/1140 - 63*b**5/95 + 11076*b**2. Let a(z) = 0. What is z?
-378, -1, 0, 1
Let i(z) be the third derivative of z**6/72 + 3*z**5/4 + 135*z**4/8 - 15*z**3/2 - 9*z**2. Let x(y) be the first derivative of i(y). Solve x(f) = 0 for f.
-9
Factor -494*y + 1748*y - 568*y - y**3 - 466*y + 12*y**2.
-y*(y - 22)*(y + 10)
Let b be (-1869)/13083 - (-3 - (-284)/(-126)). Factor -b*c + 2/9*c**2 - 16/3.
2*(c - 24)*(c + 1)/9
Let r = 14816 + -14816. Let l be ((-45)/(-10)*1)/12. Factor -1/8*j**3 + 0 + r*j + l*j**2.
-j**2*(j - 3)/8
Let v(u) be the second derivative of u**4/78 - 49*u**3/13 + 146*u**2/13 + 8488*u. Factor v(h).
2*(h - 146)*(h - 1)/13
Let p(y) be the first derivative of -y**8/1680 - y**7/840 + y**6/360 + y**5/120 - 53*y**3/3