 0?
-8, -1, 2
Let v(c) be the third derivative of 33*c**2 + 0*c + 0 + 0*c**5 + 0*c**4 + 1/120*c**6 + 0*c**3 + 1/210*c**7. Solve v(u) = 0.
-1, 0
What is p in -128/7*p**2 - 504 - 4/7*p**3 - 172*p = 0?
-18, -7
Let u be (-192)/14*2016/(-864). Let j(g) be the third derivative of 1/90*g**5 + 0*g + 0 + u*g**2 + 5/36*g**4 - 2/3*g**3. Let j(x) = 0. Calculate x.
-6, 1
Let t = -3471 - -3474. Let s(o) be the third derivative of 0*o**5 + 1/24*o**4 - 1/120*o**6 + 0 + 0*o**t + 0*o - 8*o**2. Find i such that s(i) = 0.
-1, 0, 1
Let u(z) = -z**3 - z**2 - 1. Let p(k) = -k**4 + 4*k**3 + 6*k**2 + 3. Let d(l) = -4*l + 19. Let n be d(6). Let j(g) = n*p(g) - 20*u(g). Let j(w) = 0. What is w?
-1, 1
What is k in -17/7*k**3 + 12/7*k**5 + 20/7*k - 54/7*k**2 + 8/7 + 31/7*k**4 = 0?
-2, -1/4, 2/3, 1
Let n = -23180 + 23183. Suppose 1/3*d**4 + 0 + 13/3*d**2 + 2*d + 8/3*d**n = 0. Calculate d.
-6, -1, 0
Let x(m) be the third derivative of 0*m**3 + 11/270*m**5 - 1/270*m**6 + 0*m - 2 - 48*m**2 - 1/9*m**4. Factor x(n).
-2*n*(n - 4)*(2*n - 3)/9
Suppose -6*i - 9*i = -30. Let v = -1321/88 + 123/8. Factor -2/11*p**5 + 4/11*p**i + 6/11*p - v*p**3 - 6/11*p**4 + 2/11.
-2*(p - 1)*(p + 1)**4/11
Factor -688*z**2 - 162 + 1373*z**2 - 682*z**2 + 241*z.
(z + 81)*(3*z - 2)
Find m such that -92480*m + 65*m**5 + 323*m**4 - 1360*m**2 - 60*m**5 + 216*m**4 + 821*m**4 + 88067*m**3 + 4408*m**3 = 0.
-136, -1, 0, 1
Suppose 990 + 10*a**3 - 2481*a + 11*a**3 - 419*a**2 - 3886*a**2 + 855*a**2 = 0. What is a?
-1, 2/7, 165
What is h in 3513*h**2 - 1470 - 3613*h**2 + 5*h**3 + 408*h + 257*h = 0?
6, 7
Suppose 39*h - 62 = -26 + 120. Let a(y) be the first derivative of -12*y**5 + 0*y**2 - 4/3*y**3 - 6 - 6*y**6 + 0*y - 7*y**h. Suppose a(d) = 0. What is d?
-1, -1/3, 0
Let h be (14/6 - (-1 + 1)) + 463197/66171. Factor -10 + 2/3*k**2 + h*k.
2*(k - 1)*(k + 15)/3
Let w(i) = 3*i**3 + 3519*i**2 + 1033704*i - 24. Let u(b) = 21*b**3 + 24632*b**2 + 7235927*b - 176. Let q(o) = -3*u(o) + 22*w(o). Factor q(x).
3*x*(x + 587)**2
Let b be (-28)/(-24) - 92/(-24). Let a(u) be the first derivative of 25*u**3 + 125/2*u**4 + 125/2*u**b + 15 + 5*u**2 + 1/2*u. Let a(i) = 0. Calculate i.
-1/5
Suppose 43 = -q + 46. Let u(c) be the first derivative of 15/4*c**4 + 0*c**2 + 11 + 0*c**q + c**5 + 0*c. Factor u(h).
5*h**3*(h + 3)
Let j(u) be the third derivative of -u**5/690 - 19*u**4/276 - 16*u**3/23 + 300*u**2. Determine d so that j(d) = 0.
-16, -3
Let g = -30793/9 - -123317/18. Factor 57/2*o**2 + g + 1083/2*o + 1/2*o**3.
(o + 19)**3/2
Let a(p) = -4*p**2 + p - 1. Let b(r) = 12*r**2 - 245*r + 4. Let o(z) = -4*a(z) - b(z). Find v such that o(v) = 0.
-241/4, 0
Let x(f) be the first derivative of -f**4/22 + 10*f**3/3 + 174*f**2/11 + 1601. Suppose x(z) = 0. Calculate z.
-3, 0, 58
Let j(h) be the second derivative of -13*h**5/60 - 817*h**4/36 + 7*h**3 - 910*h. Let j(b) = 0. Calculate b.
-63, 0, 2/13
Let b(r) be the second derivative of -r**6/95 - 52*r**5/95 - 787*r**4/114 - 446*r**3/57 + 240*r**2/19 + 3009*r. Let b(f) = 0. What is f?
-24, -10, -1, 1/3
Let b = 193083 + -193080. Determine z so that -10/3 + 4*z**2 - 8/3*z**b + 8/3*z - 2/3*z**4 = 0.
-5, -1, 1
Let p(x) be the first derivative of x**9/756 + x**8/140 + x**7/70 + x**6/90 + 32*x**3 - 136. Let o(g) be the third derivative of p(g). Factor o(u).
4*u**2*(u + 1)**3
Let l be 14/6 + (-18)/(-27) + (-1495)/500. Let y(t) be the second derivative of -1/60*t**4 + l*t**5 + 0 + 18*t + 1/150*t**6 + 0*t**2 - 1/30*t**3. Factor y(x).
x*(x - 1)*(x + 1)**2/5
Let g = 124922 + -124914. Find f, given that -g + 129/4*f - 33*f**2 + f**3 = 0.
1/2, 32
Let o be 0/(-19)*2/(-10). Let m(k) be the first derivative of 1/2*k**4 + 1/21*k**6 + 0*k + 2/7*k**5 + 2/7*k**3 + o*k**2 - 5. Suppose m(y) = 0. Calculate y.
-3, -1, 0
Let l(k) be the third derivative of k**7/630 + k**6/135 + k**5/135 - 776*k**2. Factor l(o).
o**2*(o + 2)*(3*o + 2)/9
Let d be ((-2)/60)/(1*182/(-117)). Let p(i) be the second derivative of -9/14*i**3 + 0 - d*i**5 + 7*i + 0*i**2 + 3/14*i**4. Factor p(c).
-3*c*(c - 3)**2/7
Let w(l) be the third derivative of l**8/47040 - l**7/5880 - 7*l**5/6 - 2*l**2 + 8*l. Let f(d) be the third derivative of w(d). Solve f(u) = 0.
0, 2
What is j in 151*j**4 + 0*j + 299/2*j**3 + 1/2*j**5 + 0 - 301*j**2 = 0?
-301, -2, 0, 1
Let h(d) = -2*d**2 + 16*d - 1. Let t be h(7). Suppose 0 = -t*q + 6*q + 14. Determine w so that 0 + q*w + 169/2*w**3 + 26*w**2 = 0.
-2/13, 0
Let r(i) be the third derivative of i**6/24 - 1595*i**5/12 + 3168035*i**4/24 + 3192005*i**3/2 - 4741*i**2. Let r(g) = 0. What is g?
-3, 799
Let m(y) be the third derivative of 30 - 1/120*y**6 + 0*y + 1/12*y**4 + y**2 + 0*y**3 + 1/60*y**5. Let m(k) = 0. What is k?
-1, 0, 2
Let t(l) be the first derivative of l**6/12 + 2*l**5/5 + 3*l**4/4 + 2*l**3/3 + l**2/4 - 1141. Let t(s) = 0. Calculate s.
-1, 0
Let u(l) = 2*l**2 + 2833*l + 28. Let v be u(0). Factor 4/3*a**2 - v*a + 80/3.
4*(a - 20)*(a - 1)/3
Let c(w) = 2. Let z(o) = 2*o + 1. Let i(r) = -r**2 + 3*r + 4. Let u(n) = -i(n) - 4*z(n). Let q(b) = -2*c(b) + u(b). Factor q(d).
(d - 12)*(d + 1)
Let a(u) = -15*u**4 - 40*u**3 + 2565*u**2 - 12800*u + 25. Let f(x) = 23*x**4 + 60*x**3 - 3848*x**2 + 19200*x - 40. Let b(p) = -8*a(p) - 5*f(p). Factor b(v).
5*v*(v - 8)**2*(v + 20)
Let m = -165 - -220. Let y be (-4)/(-8)*154/m. Determine x, given that -2/5*x**4 - y*x**3 + 0 + 2/5*x**2 + 7/5*x**5 + 0*x = 0.
-1, 0, 2/7, 1
Let u(o) = 27*o - 1512. Let y be u(56). What is w in -75/8*w + y - 45/8*w**2 + 27/8*w**3 - 3/8*w**4 = 0?
-1, 0, 5
Let p be ((-4)/(-20))/((-12)/(-108)). Let v(b) = 6*b + 292. Let d be v(-48). Factor 1/5*n**d + 2/5 - n**3 + p*n**2 - 7/5*n.
(n - 2)*(n - 1)**3/5
Let k(b) be the second derivative of b**7/252 - 317*b**6/180 + 1113*b**5/4 - 289327*b**4/18 - 297754*b**3/9 - 20*b - 3. Suppose k(y) = 0. Calculate y.
-1, 0, 106
Let m(t) be the third derivative of -t**9/504 + t**8/420 + t**7/420 - 40*t**3/3 - 45*t**2. Let d(l) be the first derivative of m(l). Factor d(z).
-2*z**3*(z - 1)*(3*z + 1)
Let j(i) = -i**3 + 6*i**2 + 14*i - 54. Let w be j(6). Factor -3*z**3 - 2*z**3 - 1415*z**2 + 1405*z**2 + w + 25*z.
-5*(z - 2)*(z + 1)*(z + 3)
Suppose 328*j + 858 = 757*j. Factor -2*k**3 - 1/3*k + 0 - 1/3*k**5 + 4/3*k**j + 4/3*k**4.
-k*(k - 1)**4/3
Factor -152/7*m - 4/7*m**2 - 288/7.
-4*(m + 2)*(m + 36)/7
Let g(c) be the second derivative of -21*c**5/20 - 24*c**4 + 693*c**3/2 - 285*c**2 - 62*c - 20. Factor g(l).
-3*(l - 5)*(l + 19)*(7*l - 2)
Let z(y) be the third derivative of -3/10*y**5 + 38*y**2 + 0*y**3 + 0 + 3/8*y**4 - 1/336*y**8 + 1/15*y**6 - y + 1/105*y**7. Determine a so that z(a) = 0.
-3, 0, 1, 3
Let m(t) be the first derivative of t**3/5 + 63*t**2/5 - 552*t/5 + 3081. Suppose m(i) = 0. Calculate i.
-46, 4
Factor 137/4*z**2 - 1/4*z**5 + 8 + 71/4*z**3 + 55/2*z + 11/4*z**4.
-(z - 16)*(z + 1)**3*(z + 2)/4
Suppose 11*u - 13*u = -8. Suppose -q - u*d + 21 = 0, d = -3*q + q + 21. Factor -q - g**2 - 4*g**2 + 4*g**2 + 6*g.
-(g - 3)**2
Let x(y) = -32*y**3 - 6*y**2 + 349*y - 968. Let k(d) = 5*d**3 + d**2 - 58*d + 160. Let f(p) = 39*k(p) + 6*x(p). Factor f(o).
3*(o - 4)**2*(o + 9)
What is m in 2/5*m**5 + 968/5*m**3 + 0 - 88/5*m**4 + 0*m + 0*m**2 = 0?
0, 22
Let i be ((-2700)/(-84))/(-3) - (-99)/(-6 + 15). What is j in 0 - 2/7*j**5 + i*j**3 - 10/7*j**4 + 10/7*j**2 + 0*j = 0?
-5, -1, 0, 1
Let q(a) = -6*a**4 + a**3 + 83*a**2. Let j(h) = -h**4 + 13*h**2. Let r(i) = -13*j(i) + 2*q(i). Factor r(b).
b**2*(b - 1)*(b + 3)
Let j(v) be the third derivative of v**5/100 + 3*v**4/4 - 252*v**3/5 + v**2 - 4*v - 142. Factor j(g).
3*(g - 12)*(g + 42)/5
Find q such that 348 + 2*q**2 + 317 + 209 - 440*q + 524 - 32*q = 0.
3, 233
Determine x, given that -22/7*x**4 - 54/7*x**3 + 22/7*x**2 + 52/7*x + 0 + 2/7*x**5 = 0.
-2, -1, 0, 1, 13
Solve -6*g + 221/3*g**2 + 71/3*g**4 - g**5 - 40/3 - 77*g**3 = 0 for g.
-1/3, 1, 2, 20
Suppose 34/11*l**2 + 80/11 - 116/11*l + 2/11*l**3 = 0. What is l?
-20, 1, 2
Let h(p) = 2*p**2 + 5*p - 4. Let o be h(1). Suppose 2*d**3 + 81*d + 6*d - 24 - o*d**4 - 12*d - 81*d**2 + 31*d**3 = 0. Calculate d.
1, 8
Suppose 12*v - 35 = 5*v. Let b(h) = 1. Let c(p) = -p**2 - 10*p - 20. Let i(f) = v*c(f) - 5*b(f). Find a, given that i(a) = 0.
-7, -3
Let t(l) be the third derivative of l**6/300 - 143*l**5/50 + 3053*l**4/4 + 9245*l**3/3 - 2*l**2 - 64. Factor t(i).
