z).
(z - 1)*(z + 1)*(4*z + 1)/6
Let u be (1 - -9)/((-12)/(-18)). What is m in 5*m**3 + 7*m**4 + 9*m**3 - 3*m**2 - 4*m - u*m**2 + 11*m**4 - 10*m**5 = 0?
-1, -1/5, 0, 1, 2
Let g = -17212 + 17214. Let b be (-5)/(-15) + (-2 - -2). Factor 0 + 2/3*f + 4/3*f**3 - 5/3*f**g - b*f**4.
-f*(f - 2)*(f - 1)**2/3
Let k be (-618)/(-8) + (-2)/(-16)*-2. Let s = -39 + k. Let -36*o - 9*o**3 + 13*o + s*o**2 - 21*o - 4 + 12 = 0. What is o?
2/9, 2
Determine v so that -17*v + 1481 + 22*v**3 + 319*v - 164*v**2 - 4*v**4 + 1264 - 2397 - 144*v**3 = 0.
-29, -2, -1, 3/2
Let b(n) be the first derivative of 2704*n**5/5 + 728*n**4 + 212*n**3/3 + 2*n**2 + 6576. Determine f so that b(f) = 0.
-1, -1/26, 0
Let t = -334 - -338. Suppose 4 = t*g - 4*h, -h + 2 = 3*g - 5*h. Factor 4/7*j - 10/7*j**g + 6/7*j**3 + 0 - 2/7*j**5 + 2/7*j**4.
-2*j*(j - 1)**3*(j + 2)/7
Find m, given that 323*m - 20*m**4 + 392*m**2 - 751 + 159*m + 88*m - 723 - 44*m**3 + 2*m**5 + 574 = 0.
-3, 1, 5, 10
Suppose -33*f**2 + 290/3*f + 1/3*f**3 - 64 = 0. What is f?
1, 2, 96
Suppose -14/9*w**5 + 22*w + 4 + 284/9*w**2 - 32/9*w**4 + 104/9*w**3 = 0. What is w?
-3, -1, -2/7, 3
Suppose 3*v + 3*i - 153 = 0, 0 = 5*v + i - 6*i - 265. Let t be 1*(3 - v/16)*-1. Factor -1/4*n**4 + 0 + 5/4*n**2 + t*n**5 - 3/4*n**3 - 1/2*n.
n*(n - 1)**3*(n + 2)/4
Let m be ((-546)/52 - -7)/(14/(-8)). Let 4 + 11*s + 5/2*s**m = 0. What is s?
-4, -2/5
Let m(h) be the third derivative of -h**6/180 + 13*h**5/90 - 10*h**4/9 - 314*h**2. Solve m(v) = 0.
0, 5, 8
Suppose -90*x = -70*x - 100. Suppose 4 = 4*u - 4*a + a, -4*u + 36 = x*a. Factor 4/5*z - 2/5*z**u + 2/5 - 4/5*z**3 + 0*z**2.
-2*(z - 1)*(z + 1)**3/5
Factor 0 - 158/19*v**2 + 156/19*v + 2/19*v**3.
2*v*(v - 78)*(v - 1)/19
Suppose 360 = 5*o + 10*o. What is u in 64 - 37 - 63 - o - 50*u**2 + 5*u**3 - 115*u = 0?
-1, 12
Let s be 5390/9240*(-16)/(-14). Let 0 - 4*x + s*x**2 + 2/3*x**3 = 0. Calculate x.
-3, 0, 2
Suppose 0 = -5*t - 4*p - 473, 467 = -5*t - 3*p + 2*p. Let g = -89 - t. Factor g - b**5 - b + 4*b**4 + 8*b**3 - b**5 - 8*b**2 - 3*b - 2*b**5.
-4*(b - 1)**3*(b + 1)**2
Suppose -2*v - 5*x = -544, -5*v - 2*x + 1360 = -x. Let n = 273 - v. Suppose 1/4*k**3 - n + k**2 - 1/4*k = 0. Calculate k.
-4, -1, 1
Determine z, given that -2 + 4*z**4 - 388*z**3 - 188*z + 76*z**3 - 7*z**5 - 10 + 59*z**5 - 440*z**2 = 0.
-1, -1/13, 3
Let w(v) be the third derivative of -1/40*v**6 + 0 - 1/4*v**5 - 3/8*v**4 + 0*v + 9/2*v**3 - 55*v**2. Factor w(l).
-3*(l - 1)*(l + 3)**2
Factor -83905438 + 3606266*c - 2*c**4 - 7*c**4 - 7810146*c**2 + 14523*c**3 + 1483719475*c - 88442889*c + 551068054.
-3*(c - 538)**3*(3*c + 1)
Suppose -22*o - 80 = -2*o. Let u(m) = 10*m**2 + 57*m + 62. Let j(s) = 12*s**2 + 56*s + 64. Let q(l) = o*u(l) + 3*j(l). Suppose q(b) = 0. What is b?
-14, -1
Let z = 209 - 3341/16. Let r = 119/48 + z. What is u in -4/3*u**5 + r*u**3 + 0*u**2 + 0*u + 4/3*u**4 + 0 = 0?
-1, 0, 2
Let o = 15847/282 - 7430/141. Factor 1/2*z**5 + 0*z - 2*z**2 - o*z**3 - z**4 + 0.
z**2*(z - 4)*(z + 1)**2/2
Suppose 12 = -3*k - 3*h, -7*k - 5*h = 44 - 34. Let n(v) be the second derivative of -1/10*v**k + 42*v + 5*v**3 + 8*v**2 + v**4 + 0. Factor n(d).
-2*(d - 8)*(d + 1)**2
Suppose 9 = 5*a - 21, -v - 6 = -a. Let d(z) be the first derivative of -4 + 1/5*z**5 - 4/3*z**3 + 2*z**2 - 1/4*z**4 + v*z. Factor d(g).
g*(g - 2)*(g - 1)*(g + 2)
Let y(j) = 11*j**2 - 3572*j + 1065644. Let q(b) = -90*b**2 + 28575*b - 8525151. Let x(v) = -4*q(v) - 33*y(v). Factor x(c).
-3*(c - 596)**2
Let y(d) be the second derivative of -7/102*d**4 - 1/34*d**5 - 2/51*d**3 + 36*d + 0 + 0*d**2. Find a such that y(a) = 0.
-1, -2/5, 0
Let j(t) be the second derivative of t**6/36 + 34*t**5/45 + 217*t**4/36 - 98*t**3/9 - 57*t**2/2 - 60*t. Let x(f) be the first derivative of j(f). Factor x(m).
2*(m + 7)**2*(5*m - 2)/3
Let o(m) be the first derivative of 17*m**4/6 + 40*m**3/9 + m**2 - 2058. What is a in o(a) = 0?
-1, -3/17, 0
Let k be 10/50*10 + (0 - 0). Factor 8636*j**k - 12*j - 20 - 8641*j**2 - 8*j.
-5*(j + 2)**2
Let r = 791 - 783. Let s be (25/30)/(1 + 2/r). Factor -8/3*b**3 - 8/3*b + 4*b**2 + s + 2/3*b**4.
2*(b - 1)**4/3
Let w(l) be the second derivative of -l**4/21 + 776*l**3/3 - 526904*l**2 - 18*l + 27. Factor w(i).
-4*(i - 1358)**2/7
Suppose -x + 48 = -36. Let z = 87 - x. Find t, given that -1/5*t**4 + 4/5*t + 3/5*t**2 - 4/5 - 2/5*t**z = 0.
-2, 1
Let w(o) be the first derivative of 60*o + 4/5*o**5 + 0*o**3 - 6*o**4 - 158 + 44*o**2. Factor w(g).
4*(g - 5)*(g - 3)*(g + 1)**2
Let q(k) be the second derivative of k**4/108 + 4*k**3 + 648*k**2 - 34*k - 16. Find r such that q(r) = 0.
-108
Let q(p) be the third derivative of -p**6/1500 - 11*p**5/375 + 79*p**4/300 + 4*p**3/3 - 3077*p**2. Factor q(r).
-2*(r - 4)*(r + 1)*(r + 25)/25
Solve -10512 + 1070173*z**2 - 1071317*z**2 + 2193*z + 4*z**3 - 9165*z = 0 for z.
-3, 292
Let j(n) be the second derivative of 5*n**4/12 - 5*n**3/3 - 560*n**2 - 55*n + 14. Solve j(v) = 0.
-14, 16
Suppose -60 = -14*q + 8*q. Let n be 11/4 + q/40. Factor 2/3*j**2 + 0 - 1/3*j**n + 0*j.
-j**2*(j - 2)/3
Let n be 68/6 + 69/(-207). Factor 0*l**2 + 0*l**2 - 12*l**2 + 3*l**2 + 2*l + n*l**2.
2*l*(l + 1)
Let r(m) be the third derivative of 0*m**7 - 1/504*m**8 + 0*m**3 - 1/36*m**4 + 0*m**5 + 1/90*m**6 + 0*m + 0 - 76*m**2. Factor r(k).
-2*k*(k - 1)**2*(k + 1)**2/3
Suppose h - 15 = -3*i, 5*h - 15 = -i + 6*i. Suppose 0 = -c - 2*y - h, -5*y - 41 = c - 5*c. Factor 30*z**3 + 623*z**c + 1 - 618*z**4 - 1 + 45*z**2.
5*z**2*(z + 3)**2
Find v, given that 3*v**2 - 15*v**2 + 8*v + 0 + 507*v**4 - 255*v**4 + 10 - 8*v**3 - 250*v**4 = 0.
-1, 1, 5
Find y such that -48/23*y**2 + 0 - 2/23*y**3 - 126/23*y = 0.
-21, -3, 0
Let x = 211 + 29. Suppose 9*u = x + 39. Let 1 + 30*h**5 + 17*h**2 + u*h**2 - 57*h**4 - 12*h - 27*h**3 - 1 = 0. Calculate h.
-1, 0, 2/5, 1/2, 2
Let s(g) be the first derivative of -g**5/5 + g**4/4 + g**3/3 + g - 72. Let u(z) = -z**4 + 4*z**3 - 5*z**2 - 2. Let q(h) = -2*s(h) - u(h). Factor q(a).
3*a**2*(a - 1)**2
Suppose 708 + 102*g**2 - 1617/2*g - 3/2*g**3 = 0. What is g?
1, 8, 59
Let p = -553 + 557. Let x = -44 - -685. What is y in 36*y**3 - 14*y**4 - p*y + 609*y**5 + 8*y**2 - x*y**5 + 6*y**4 = 0?
-1, -1/2, 0, 1/4, 1
Let w(x) be the third derivative of 1/21*x**7 + 35/24*x**4 + 0 + 19/48*x**6 + 0*x**3 - 2*x - 85*x**2 - 61/24*x**5. Suppose w(n) = 0. What is n?
-7, 0, 1/4, 2
Let l = 6/319 + -35421/638. Let d = 225/4 + l. Factor -15/4*s**2 + 0 - 3/2*s - d*s**4 - 3*s**3.
-3*s*(s + 1)**2*(s + 2)/4
Factor -90*k**3 + 0 + 1/2*k**5 + 0*k - 31/2*k**4 + 0*k**2.
k**3*(k - 36)*(k + 5)/2
Suppose -212/3*l + 80/3 + 14*l**3 + 110/3*l**2 = 0. What is l?
-4, 2/3, 5/7
Let r = 913 - 897. Let k be (-15)/(-14 - r) + 2/(-20). Factor 0 + 4/5*j + 6/5*j**3 - 2/5*j**4 - k*j**5 + 2*j**2.
-2*j*(j - 2)*(j + 1)**3/5
Let n(h) be the third derivative of h**7/504 + h**6/144 - 5*h**5/4 + 49*h**4/12 - 2*h**2 + 38. Let i(z) be the second derivative of n(z). Factor i(d).
5*(d - 5)*(d + 6)
Let p(d) be the third derivative of d**7/1050 - 3*d**6/200 + d**5/30 + 3*d**4/10 - 28*d**3/15 - 68*d**2 + 4*d - 1. Find a such that p(a) = 0.
-2, 2, 7
Let v(k) be the third derivative of 2*k**7/105 - k**6/15 - 4*k**5/5 + 3*k**4 + 18*k**3 + 7*k**2 + 83*k. What is i in v(i) = 0?
-3, -1, 3
Let -50/11*b**4 + 4698/11*b**2 + 4112/11*b + 1720/11*b**3 + 1184/11 = 0. Calculate b.
-1, -4/5, 37
Suppose 22*d = 53*d. Suppose d = a + 3*h + 13, -4*h + 2 = -4*a - 6*h. Factor 4/3*u + 4/3*u**a + 0.
4*u*(u + 1)/3
Determine u so that 32/3 - 908/3*u**2 - 272/3*u**3 + 44*u**4 - 472/3*u = 0.
-1, 2/33, 4
Let l(r) = 7*r**3 + 73*r**2 + 76*r - 4. Let k(a) = -190*a**3 - 1970*a**2 - 2055*a + 110. Let x(i) = -2*k(i) - 55*l(i). Find m such that x(m) = 0.
-14, -1, 0
Factor 539*b**3 - 522*b**3 + 7*b**2 - 1881*b**3 - 1396*b**3 + b**2.
-4*b**2*(815*b - 2)
Let m be ((-1)/7)/(792/(-924))*4 + 0. Solve 38/3*d - 40/3*d**2 + m*d**3 + 0 = 0.
0, 1, 19
Let q(v) = -8*v - 4. Let l be q(-13). Suppose -b - 4*b + l = 0. Factor -32 - b*n + 25*n**2 + 60 - 24.
(5*n - 2)**2
Let r(l) be the third derivative of l**7/1260 - l**6/30 - l**5/120 + 35*l**4/72 + 4*l**3/3 + 23*l**2 - 5*l + 2. Factor r(q).
(q - 24)*(q - 2)*(q + 1)**2/6
Let h = -260840 + 260842. Determine m, given that -3/4*m - 1/4*m**3 - m**h + 0 = 0.
-3, -1, 0
Let r(u) = u**4 - 18*u**3 + 24*u**2 + 13*u - 45. Let j(z) = z**4 - 17