h**2 + 133*h - 3229. Let a be x(32). Factor -9/4*d**a + 0 + 3/4*d**5 + 0*d**s + 0*d + 3/2*d**2.
3*d**2*(d - 1)**2*(d + 2)/4
Let j(i) be the second derivative of 17*i**5/80 + i**4/16 + 20*i**2 + 34*i + 1. Let x(o) be the first derivative of j(o). Solve x(n) = 0 for n.
-2/17, 0
Let r(s) be the first derivative of s**7/945 + s**6/180 - 15*s**2/2 + 50. Let q(d) be the second derivative of r(d). Factor q(c).
2*c**3*(c + 3)/9
Let l(c) = -c**2 + 3. Let z = 163 + -161. Let u(b) = -16*b**2 + 50*b + 102. Let y(h) = z*u(h) - 36*l(h). Solve y(x) = 0.
-24, -1
Let -17773*d + 17799*d - 6*d**2 + 840 + 4*d**2 = 0. What is d?
-15, 28
Suppose -112 = -4*n + c, -5*n - 6*c = -7*c - 140. Let f(v) = v**3 - 28*v**2 - 4*v + 114. Let y be f(n). Factor 0*r - 2/7 + 2/7*r**y.
2*(r - 1)*(r + 1)/7
Suppose -11*x + 14 = -19. Let v be (1218/(-2088))/(1/(-3)). Solve -1/4*g**5 - 11/2*g**2 - 13/4*g - 3/4 - v*g**4 - 9/2*g**x = 0 for g.
-3, -1
Determine z, given that -16/5*z**3 + 4/5*z**4 + 16/5*z - 4/5*z**2 + 0 = 0.
-1, 0, 1, 4
Let s(u) = 96*u**5 - 192*u**4 - 4508*u**3 - 8972*u**2 + 5344*u - 768. Let g(l) = -l**5 - l**4 + 2. Let f(w) = -32*g(w) - s(w). Find j, given that f(j) = 0.
-4, 1/4, 11
Let s be 0 + -104 + (-12 - -8)*1. Let z be 18/(-4)*s/81. What is w in 9/2*w**3 - 6*w - z*w**2 + 6*w**4 + 3/2*w**5 + 0 = 0?
-2, -1, 0, 1
Let t = 16 - 14. Let s(m) = 0*m - 2*m**2 + 30 - 28*m + 8*m + 6*m**t. Let f(n) = -1. Let z(j) = -6*f(j) - s(j). Factor z(g).
-4*(g - 3)*(g - 2)
Let n = 26263 - 26259. Solve 1/3*m**n - 4/3*m**3 + 0*m + 0 + 4/3*m**2 = 0 for m.
0, 2
Let u(g) be the second derivative of g**7/315 - 74*g**6/225 + 133*g**5/25 - 192*g**4/5 + 753*g**3/5 - 1674*g**2/5 - 98*g - 2. Determine v so that u(v) = 0.
3, 62
Let d(y) be the third derivative of -2*y**7/735 - 4*y**6/3 - 1608*y**5/35 - 4752*y**4/7 - 37728*y**3/7 - 10893*y**2. Factor d(m).
-4*(m + 6)**3*(m + 262)/7
Solve 25*y**5 - 40*y**4 - 9*y**5 - 20*y**5 - 64*y**3 = 0.
-8, -2, 0
Let p(q) be the first derivative of 125/6*q**4 + 5*q**3 + 0*q + 1/72*q**6 + 0*q**2 + 5/6*q**5 + 31. Let i(b) be the third derivative of p(b). Factor i(g).
5*(g + 10)**2
Let -582/25*m + 116/5 + 2/25*m**2 = 0. Calculate m.
1, 290
Let o(f) = 14*f**4 - 13*f**4 - 3 + 3. Let d(i) = -16*i**4 + 8*i**3 + 22*i**2 + 12*i. Let u(m) = 2*d(m) + 28*o(m). Determine z, given that u(z) = 0.
-1, 0, 6
Let y(v) be the first derivative of v**5/20 + v**4/8 - v**3 - 9*v**2/2 + 3*v - 44. Let z(x) be the second derivative of y(x). Suppose z(u) = 0. What is u?
-2, 1
Let o = -13813 - -13815. Let a(t) be the third derivative of 0 + 0*t**3 + 1/70*t**7 + 6/5*t**5 + 12*t**2 + 0*t + 9/40*t**6 + o*t**4. Factor a(s).
3*s*(s + 1)*(s + 4)**2
Let n(r) = 7*r + 4. Let a be n(1). Suppose -221 + 34 = -a*h. Factor -h + 42 - 25 - 2*z**2 - 14*z.
-2*z*(z + 7)
Solve -35*y + y**5 - 165*y**4 - 6*y**5 + 74*y**2 - 177*y**4 + 6 + 374*y**4 - 72*y**3 = 0 for y.
2/5, 1, 3
Let -18*w**3 + 268/15*w + 2/15*w**5 - 58/3*w**2 + 112/5 - 46/15*w**4 = 0. What is w?
-3, -2, -1, 1, 28
Let w be 1/(-4) + 4 + 33963/(-9972). Let m = w - 3/277. Factor 2/3*s - 1/3*s**3 + m*s**2 + 0.
-s*(s - 2)*(s + 1)/3
Let b(n) be the first derivative of 13778/9*n + 2/27*n**3 - 248 + 166/9*n**2. Factor b(z).
2*(z + 83)**2/9
Let p(s) be the first derivative of -s**5/5 - 41*s**4/2 - 780*s**3 - 12844*s**2 - 70304*s - 198. What is m in p(m) = 0?
-26, -4
Let j(f) be the first derivative of -f**6/120 - 2*f**5/5 - 5*f**3/3 + 7*f + 60. Let t(k) be the third derivative of j(k). Find g, given that t(g) = 0.
-16, 0
Suppose -15*u - 15*u - u + 155 = 0. Let f(d) be the second derivative of 1/126*d**4 - 1/210*d**u + 0*d**3 + 0 + 0*d**2 - 16*d. Factor f(z).
-2*z**2*(z - 1)/21
Let a(t) = -t**3 - t**2 - 10*t - 8. Let f be a(-5). Suppose 5*z + 3*c = 2*c + 138, -5*z + c = -f. Solve 140*o + z*o**3 - 140*o - 4*o**4 = 0.
0, 7
Let l(p) be the first derivative of 3/14*p**4 + 4*p + 3/140*p**5 + 11/14*p**3 + 4 + 9/7*p**2. Let n(v) be the first derivative of l(v). What is x in n(x) = 0?
-3, -2, -1
Factor -275*b + 8*b**3 + 1/2*b**4 + 484 - 3/2*b**2.
(b - 4)*(b - 2)*(b + 11)**2/2
Let j(s) = 23*s + 117. Let f be j(-5). Solve 12*o + 4*o**2 - o**3 + 4*o - 13*o + f*o**3 = 0.
-3, -1, 0
Let a(t) be the first derivative of -4 + 2/3*t**3 - 4*t**2 - 1/20*t**5 - 1/30*t**6 + 1/2*t**4 - 24*t. Let q(u) be the first derivative of a(u). Factor q(f).
-(f - 2)*(f - 1)*(f + 2)**2
Let w be (5 - 66/11)*-1*6/26. Let d(v) be the first derivative of -w*v**2 + 1/26*v**4 - 4/13*v - 18 + 0*v**3. Factor d(f).
2*(f - 2)*(f + 1)**2/13
Suppose 3*n + 11 = -3*z + 8*z, 5*z - 13 = 4*n. Let y be (35/70)/(z/5). Suppose y*j**3 + 3/2*j**2 - 2 + 1/2*j**4 - 5/2*j = 0. Calculate j.
-4, -1, 1
Let x(w) be the first derivative of w**6/42 - 379*w**5/35 + 48379*w**4/28 - 2142125*w**3/21 + 4000000*w**2/7 - 7812500*w/7 + 8260. Factor x(u).
(u - 125)**3*(u - 2)**2/7
Solve 2*g**2 + 80/11*g + 56/11 - 2/11*g**3 = 0.
-2, -1, 14
Let g(m) be the first derivative of -245/24*m**6 + 0*m - 27 - 5/3*m**3 - 10*m**4 + 0*m**2 - 77/4*m**5. Determine u, given that g(u) = 0.
-1, -2/7, 0
Let z(i) = -13*i**3 - 460*i**2 - 84*i - 6. Let m(s) = 28*s**3 + 920*s**2 + 184*s + 11. Let o(p) = -6*m(p) - 11*z(p). Factor o(v).
-5*v*(v + 18)*(5*v + 2)
Let p be -4 - (-7360)/15*15/(-10). Let q = 5188/7 + p. Let 1/7*a**4 + 0 - 4/7*a**2 + 2/7*a**3 - q*a = 0. What is a?
-2, 0, 2
Suppose 4*f + 2*g = 12, 25*f - 13 = 24*f + 2*g. Suppose -f*k = -3*a - 21, -3*a + 98 = 3*k + 95. Factor -1/9*z**k - 1/9*z**2 + 1/9*z + 1/9*z**4 + 0.
z*(z - 1)**2*(z + 1)/9
Let q(s) be the first derivative of -3/20*s**5 + 3*s**3 + 61 + 15/4*s**2 - 33/4*s - 15/8*s**4. Let q(z) = 0. What is z?
-11, -1, 1
Determine z so that -113288/5 + 952/5*z - 2/5*z**2 = 0.
238
Let g(d) = 17*d**4 - 207*d**3 - 377*d**2 - 197*d - 22. Let f(v) = -6*v**4 + 70*v**3 + 126*v**2 + 66*v + 8. Let w(m) = -11*f(m) - 4*g(m). Factor w(u).
-2*u*(u - 31)*(u + 1)**2
Let i(h) be the third derivative of -h**7/70 + h**6/4 + 147*h**5/20 + 109*h**4/2 + 190*h**3 - 16*h**2 + 4*h + 14. Suppose i(g) = 0. Calculate g.
-5, -2, 19
Suppose 5*b + j - 210 = -4*j, 3*j = -5*b + 200. Let t = b + -34. Factor -6 + 9*l - 8*l**t - 36*l**4 - l**3 + 39*l**4 + 3*l**2.
3*(l - 2)*(l - 1)**2*(l + 1)
Suppose -17*o + 187 = -0*o. Factor 6*z + 2*z**4 - 7*z**3 + o*z**2 + z**3 - 13*z**2.
2*z*(z - 3)*(z - 1)*(z + 1)
Suppose y - 26 = -12*y. Solve -287*r**3 + 4032*r**y - 2143*r - 5488 - 5*r**3 + 7*r**4 - 15889*r = 0.
-2/7, 14
Let z = 155657/15 + -10377. Let g(q) be the second derivative of 0 + 0*q**2 - z*q**6 - 5/3*q**4 + 6/5*q**5 + 0*q**3 + 7*q. Suppose g(w) = 0. Calculate w.
0, 1, 5
Suppose 190*v = 188*v + 3558. Factor 36*m**3 - 913*m**2 + 3*m**4 - 905*m**2 + v*m**2.
3*m**2*(m - 1)*(m + 13)
Let a(j) be the third derivative of j**5/140 + 136*j**4/7 + 1086*j**3/7 - 4378*j**2. Solve a(h) = 0.
-1086, -2
Suppose 47 = 15*n - 238. What is w in -7*w**2 - 11*w**3 + n*w - 17*w**2 - 2*w**3 - 7*w - 2*w**3 = 0?
-2, 0, 2/5
Let c(y) = 18*y + 102. Let t be c(-4). Let n be 48/(-7)*(-56)/t. Factor n + 1/5*z**2 - 16/5*z.
(z - 8)**2/5
Factor -74*y**4 + 2*y**5 - 14 + 1008*y**3 + 13312*y - 2567*y**2 - 3449*y**2 + 0 + 14.
2*y*(y - 13)*(y - 8)**3
Find d such that 2688*d + 2/7*d**3 - 50176 - 48*d**2 = 0.
56
Let c(i) be the third derivative of -1/12*i**6 + 17/60*i**5 + 1/210*i**7 + 0*i - 134*i**2 - 1/3*i**4 + 0 + 0*i**3. Suppose c(b) = 0. Calculate b.
0, 1, 8
Let m = -178 - -178. Let g be (-36)/(-170)*-2*(-60)/9. Solve -2/17*c**3 - 288/17*c + m - g*c**2 = 0.
-12, 0
Let p(s) = -50*s + 183. Let y be p(-24). Factor -y*o - 10*o**3 - 172*o**2 - o**5 + 4258*o + 722*o**2 - 13*o**4 + 4375.
-(o - 7)*(o + 5)**4
Let o = -643285 - -643289. Suppose -o + 90/11*i - 4/11*i**2 = 0. What is i?
1/2, 22
Let j(n) = -5*n**3 - 4*n**2 + 18*n + 90. Let y(t) = -4*t**3 - 6*t**2 + 18*t + 90. Let u(b) = 2*j(b) - 3*y(b). Factor u(s).
2*(s - 3)*(s + 3)*(s + 5)
Let n(y) be the second derivative of -y**6/195 + 9*y**5/130 + 11*y**4/26 + 35*y**3/39 + 12*y**2/13 - 401*y. Suppose n(a) = 0. What is a?
-1, 12
Let f = 3343/13324 + -3/3331. Let a(c) be the second derivative of 0 - 15/2*c**2 - 2*c**3 + f*c**4 - 2*c. Let a(i) = 0. Calculate i.
-1, 5
Suppose 0 = 9*u - 135 + 27. Factor -31 - 34 + 89 - 32 - 4*z**2 - u*z.
-4*(z + 1)*(z + 2)
Solve -70*f - 831/4 - 1/4*f**2 = 0.
-277, -3
Let r be 20/60 - ((-4)/(-5) - 6832