en that -36/7*s + 64/7 + c*s**2 = 0.
2, 16
Let 70 - 120*b**3 - 208*b**5 + 92*b**5 + 121*b**5 - 60*b**4 - 10*b**2 + 135*b - 20*b**3 = 0. What is b?
-1, 1, 14
Suppose 2*y - 1264 = -5*v, 0 = -5*v - 4*y + 3*y + 1262. Suppose -23*a - v = -30*a. Let -63/5*z**3 - 147/5*z**4 - a*z + 24/5 + 366/5*z**2 = 0. Calculate z.
-2, 2/7, 1
Suppose g = 3*z + 3*g + 17, z - 3*g + 13 = 0. Let d = z + 11. Factor -l - d + 1 + 3*l**2 - 12*l**3 + 13*l**3 + 0*l.
(l - 1)*(l + 1)*(l + 3)
Let x(t) = -t**2 - 102*t - 354. Let s(d) = 2*d**2 + 296*d + 1060. Let n(c) = -3*s(c) - 10*x(c). Factor n(y).
4*(y + 3)*(y + 30)
Suppose 0 = -c - 1750*n + 1748*n - 18, 4*c + 4*n = -32. Suppose 2/7*v**3 - 2/7*v**c + 0*v + 0 + 2/7*v**4 - 2/7*v**5 = 0. What is v?
-1, 0, 1
What is n in 0*n - 189*n**3 - 384*n**2 + 3/2*n**4 + 0 = 0?
-2, 0, 128
Let j(u) be the first derivative of u**4/12 - 11*u**3/9 - 3*u**2 + 24*u + 4375. Factor j(b).
(b - 12)*(b - 2)*(b + 3)/3
Let -12*w**3 + 25*w**2 - 2*w**3 + 27*w**3 - 14*w**3 + 26*w = 0. What is w?
-1, 0, 26
Suppose -2*t**2 - 3*t - t**5 + 25*t**4 + 15*t**4 - 58*t**4 + 20*t**4 - 28*t**3 + 32*t**3 = 0. What is t?
-1, 0, 1, 3
Let m(t) be the third derivative of t**7/735 - 13*t**6/140 + 11*t**5/21 - 6*t**4/7 - t**2 + 19. Determine q so that m(q) = 0.
0, 1, 2, 36
Suppose 1/6*o**5 - 1/3*o**4 - 11/2*o**3 + 0 + 0*o + 15*o**2 = 0. Calculate o.
-6, 0, 3, 5
Let y(n) be the second derivative of 1/4*n**5 + 0 - 6*n**2 - 6*n + 5/12*n**4 - 5/6*n**3. Let z(l) be the first derivative of y(l). Factor z(o).
5*(o + 1)*(3*o - 1)
Let b(h) = -h**3 - 6*h**2 + 41*h + 12. Let t be b(-10). Factor t*x + 10*x - 2*x - 2*x**2 + 48.
-2*(x - 8)*(x + 3)
Factor 29*f**2 + 2793 + 10*f**2 - 3*f**3 - 945*f + 66*f**2 - 6*f**2.
-3*(f - 19)*(f - 7)**2
Let a be (510/(-24))/(-17) + 5513/(-4). Let q = 1390 + a. Let -169/2 - 1/2*j**2 + q*j = 0. Calculate j.
13
Let j(p) be the second derivative of -2*p**7/21 + 2*p**6/3 - 9*p**5/5 + 7*p**4/3 - 4*p**3/3 - 1521*p. Determine a, given that j(a) = 0.
0, 1, 2
Let v be ((-50)/((-6750)/45))/((-2)/(-18)). Let k(d) be the second derivative of -5*d**2 + 0 - 4/3*d**v + 1/6*d**4 - 20*d. Solve k(u) = 0.
-1, 5
Let m(o) = -o**3 - 42*o**2 - o + 33. Let g be m(-42). Let u be ((-40)/70)/((-3)/g). Solve 4/7*x**2 + u - 40/7*x = 0.
5
What is f in -2/13*f**4 - 392/13*f - 40/13*f**3 + 434/13*f**2 + 0 = 0?
-28, 0, 1, 7
Let q = 70 + -57. Let c = q - 9. Factor -9*w + c - 5*w - 28*w**2 - 59*w**3 + 49*w**3.
-2*(w + 1)*(w + 2)*(5*w - 1)
Let f(s) be the second derivative of -48*s - 126*s**2 - 2*s**3 - 1/84*s**4 + 2. What is q in f(q) = 0?
-42
Let u = 338399/5 + -67671. Factor -u*n + 14/5*n**3 - 16/5 + 46/5*n**2.
2*(n - 1)*(n + 4)*(7*n + 2)/5
Let l(o) = 3*o**3 + o - 2. Let g(t) = -23*t**3 + 7720*t**2 - 2979926*t + 12. Let x(n) = g(n) + 6*l(n). Suppose x(y) = 0. Calculate y.
0, 772
Suppose -2*f + h + 12 = 0, -f - 2*h + 4*h + 3 = 0. Suppose -2*i = -4*i - l + f, 5 = 5*l. Let 3/8*k + 1/8*k**i + 1/8 + 3/8*k**2 = 0. What is k?
-1
Let h = 4420 + -4416. Let r(c) be the third derivative of -13/132*c**h - 1/30*c**5 + 0*c + 0 - 2/33*c**3 + 16*c**2. Factor r(z).
-2*(z + 1)*(11*z + 2)/11
Let m be 18449*(-5)/65925 + 91/65. Let t = m - -31634/13185. Solve 0 - t*d**3 + 8/5*d**4 - 12/5*d**2 + 8/5*d = 0 for d.
-1, 0, 1/2, 2
Let a(z) be the second derivative of z**7/231 - 21*z**6/55 + 24*z**5/11 - 118*z**4/33 + 5*z + 30. Find v such that a(v) = 0.
0, 2, 59
Let b = 510 + -432. Let z be ((-8)/(-12))/(65/b). Factor -6/5*h**3 - 14/5*h - 16/5*h**2 - z.
-2*(h + 1)**2*(3*h + 2)/5
Let s(m) be the second derivative of -5*m**7/42 + m**6 + 3*m**5/2 - 55*m**4/3 + 85*m**3/2 - 45*m**2 - 659*m + 1. Solve s(v) = 0 for v.
-3, 1, 6
Factor 95*h**4 + 236*h**2 + 3266 - 3242 + 124*h - 19*h**4 + 8*h**5 + 204*h**3.
4*(h + 1)**3*(h + 6)*(2*h + 1)
Let f(h) be the third derivative of -h**2 + 0*h - 5 - 1/8*h**4 + 4/9*h**3 + 1/180*h**5. Factor f(d).
(d - 8)*(d - 1)/3
Suppose -19*l + 20*l = -4*x + 81, 2*x + l - 43 = 0. Suppose -29*p + x*p = -15*p. Factor -8/7*c - 4/7*c**2 + p.
-4*c*(c + 2)/7
Let g(k) be the first derivative of -3*k**4/32 + 39*k**3/4 + 243*k**2/16 - 237*k/4 - 1336. Factor g(z).
-3*(z - 79)*(z - 1)*(z + 2)/8
Suppose -22*j = -5*j - 10693. Let q = j + -1885/3. Factor 2/3*x**2 - q*x - 4/3.
2*(x - 2)*(x + 1)/3
Let w(x) be the first derivative of x**4/4 - 37*x**3/3 - 85*x**2/2 - 59*x + 47. Let b(r) = 18*r**2 + 42*r + 30. Let f(z) = -5*b(z) - 2*w(z). Factor f(l).
-2*(l + 2)**2*(l + 4)
Let v(u) = u**2 - 5*u - 6. Let y be v(6). Let o = 1929025/8 - 241128. Solve y*q - o*q**3 + 0 + 3/8*q**2 = 0.
0, 3
Let q(b) be the third derivative of b**7/840 + 89*b**6/480 + 29*b**5/80 - 89*b**4/96 - 11*b**3/3 - 163*b**2. Factor q(d).
(d - 1)*(d + 1)**2*(d + 88)/4
Suppose 10*k - 3462 = -962. Find r such that -15*r**3 - 255*r**4 + 12*r + 5*r**2 + k*r**4 + 3*r = 0.
-3, -1, 0, 1
Let z = -36 + 41. Suppose z*t = -5*f + 285, 0 = -t + f - 15 + 78. Determine i, given that -5 - 1 - 10*i**2 - 45*i**3 - 15*i + t*i + 20*i**4 - 4 = 0.
-1, 1/4, 1, 2
Let q(g) be the first derivative of 0*g**2 + 1/4*g**4 + 0*g + 288 - 9*g**3. Suppose q(j) = 0. Calculate j.
0, 27
Let k be (6/(-24))/(14/(-28)). Let p(s) be the first derivative of -3/2*s - 1/18*s**3 - k*s**2 + 1. Let p(m) = 0. Calculate m.
-3
Let o(s) = -3*s**2 + 11*s + 6. Let k be o(4). Factor -w**3 - 10*w**2 - 8*w**2 - 15*w - 7 + 0*w**2 + 9*w**k.
-(w + 1)**2*(w + 7)
Let p be ((-17)/(-3) + -6)/((-21)/(-144))*-12. Suppose 10*k**3 + p*k**2 + 32/7 - 8/7*k**4 + 152/7*k - 6/7*k**5 = 0. What is k?
-2, -1, -1/3, 4
Factor -856528911/5*h + 26059806/5*h**2 - 301086/5*h**3 + 1551/5*h**4 - 3/5*h**5 + 830768643/5.
-3*(h - 129)**4*(h - 1)/5
Let j = 170/63 - 17/21. Let b = -3/4 + 17/12. Factor j*o + b + 5/9*o**2.
(o + 3)*(5*o + 2)/9
Let n(f) = 1. Let h(u) = u**3 - 7*u**2 - 3*u + 12. Let q(p) = -h(p) + 4*n(p). Let j be q(7). Factor -72 - j*v - 3*v - 8*v - 2*v**2.
-2*(v + 6)**2
Factor 243*w - 1462/3 + 1/3*w**2.
(w - 2)*(w + 731)/3
Let k = 49 + -3. Let u = -43 + k. Factor -2*i**3 - u + 5*i - 438*i**2 + 437*i**2 + i**3.
-(i - 1)**2*(i + 3)
Let v(j) be the second derivative of j**4/6 + 74*j**3/3 + 744*j**2 + 5891*j. What is g in v(g) = 0?
-62, -12
Let z = -2/19827 + 2448/2203. Determine t, given that z + 2/9*t**3 + 22/9*t + 14/9*t**2 = 0.
-5, -1
Let k = 96 + -57. Let y = 56 + k. What is l in -95*l + y*l + l**2 = 0?
0
Let o(b) = -92*b + 4*b**2 - 17*b**2 + 14*b**2 + 352. Let x be o(4). Let x*f**3 + 0 + 15/4*f**4 + 0*f - 5/4*f**5 - 5*f**2 = 0. What is f?
-1, 0, 2
Determine l, given that 2700538*l**4 - 2700534*l**4 + 416*l**2 + 104*l**3 - 320*l**3 = 0.
0, 2, 52
Let r(v) be the first derivative of -3/4*v**2 - 153 - 1/12*v**3 + 7/4*v. Factor r(u).
-(u - 1)*(u + 7)/4
Suppose -p - 2*p + 10 = -5*t, t + 2 = -p. Let d be 6 + (2 + t)/(-3). Find f such that -4*f**3 + 4*f - d*f**3 + 6*f + 51*f**4 - 5*f**2 - 46*f**4 = 0.
-1, 0, 1, 2
Let b(p) be the first derivative of -2/5*p**5 + 0*p**4 + 4/3*p**3 - 2*p**2 + 2/15*p**6 - 21 + 28*p. Let m(x) be the first derivative of b(x). Factor m(f).
4*(f - 1)**3*(f + 1)
Let m(y) be the first derivative of 42 - 1/2*y**2 + 0*y - 1/15*y**3. Find a, given that m(a) = 0.
-5, 0
Suppose w + 3*u = -14, 2*u - 2 = 4*w - 16. Factor -32*h - 4*h**4 + w + 169*h**3 + 12*h**2 + 15 - 161*h**3.
-4*(h - 2)*(h - 1)**2*(h + 2)
Let n be ((12 + -3)/36*1)/((-21)/(-12)). Let z(x) be the first derivative of -n*x**4 - 10/21*x**3 - 2/7*x**2 + 0*x + 9. Factor z(c).
-2*c*(c + 2)*(2*c + 1)/7
Let r = 3/80 - 11/16. Let g = 171/140 + r. Factor -g - 1/7*j**3 - 9/7*j - 6/7*j**2.
-(j + 1)**2*(j + 4)/7
Suppose 0 = 2*u - 3*m - 56, -u + 0*m + 41 = 5*m. Suppose 9*y + 13 = u. Suppose -4*b**2 + 2*b**y - 344 + 356 - 2*b**2 + 8*b = 0. What is b?
-1, 3
Suppose -32*r + 18 = -23*r. Factor 0*v + 7*v**2 - 6*v**r + 11*v + 13*v.
v*(v + 24)
Let c(s) = -11*s**4 + 834*s**3 - 36110*s**2 + 69774*s - 34445. Let a(p) = -p**4 - p**3 + 9*p. Let q(d) = 6*a(d) - c(d). What is w in q(w) = 0?
1, 83
Let x = 1181/27576 - 4/3447. Let q(s) be the first derivative of 0*s + 5 - x*s**4 + 0*s**2 + 1/18*s**3. Factor q(v).
-v**2*(v - 1)/6
Let n(b) be the first derivative of -b**6/8 + 17*b**5/10 - 107*b**4/16 + 29*b**3/3 - 7*b**2/2 + 14017. Let n(t) = 0. What is t?
0, 1/3, 2, 7
Suppose 4*y - 6*w - 360 = -5*w, y = -4*w + 90. Factor -21*v**4 - 24*v - 87*v**2 - 21*v**2 + 552 - y*v**3 - 