*q**3 - 6*q**5 + q = 0.
-1, 0, 1, 4/3, 2
Suppose 3*h + 16 = -z, 3*z - 672*h + 669*h - 24 = 0. Factor 4/3*b**2 + 1/3*b - z + 1/3*b**3.
(b - 1)*(b + 2)*(b + 3)/3
Let s(y) be the third derivative of -y**8/336 + 71*y**7/210 + 59*y**6/24 + 373*y**5/60 + 25*y**4/4 - y**2 + 2*y + 309. Suppose s(v) = 0. What is v?
-2, -1, 0, 75
Suppose 14*l - 833 + 329 = 0. Let y be (90/l)/((-5)/(-6)). Factor -2/9*f**y + 8/9 + 8/9*f - 2/9*f**2.
-2*(f - 2)*(f + 1)*(f + 2)/9
Let c(v) = 7*v**2 + 10*v + 37. Let g(h) = -17*h**2 - 17*h - 73. Let p(x) = -5*c(x) - 2*g(x). Factor p(q).
-(q + 3)*(q + 13)
Let x(i) be the second derivative of -3*i**5/20 - 702*i**4 - 1314144*i**3 - 1230038784*i**2 - 2*i + 1447. Suppose x(q) = 0. What is q?
-936
Let r(v) = 30*v**4 + 411*v**3 - 416*v**2 - 400*v + 419. Let t(s) = -38*s**4 - 514*s**3 + 520*s**2 + 500*s - 524. Let a(q) = 14*r(q) + 11*t(q). Factor a(k).
2*(k - 1)**2*(k + 1)*(k + 51)
Determine k so that -390/7*k - 2/7*k**2 + 56 = 0.
-196, 1
Let v = 88592 + -88590. Factor -2/15*r**v - 2/15*r**3 + 2/3*r - 2/5.
-2*(r - 1)**2*(r + 3)/15
Let g be (-3)/(12 + 649/(-44)). Let i(x) be the first derivative of 4 - 3/11*x**2 - g*x + 4/11*x**3 + 3/22*x**4. Factor i(h).
6*(h - 1)*(h + 1)*(h + 2)/11
Suppose -6*m = 2*o - 7*m - 29, 3*m = -5*o + 56. Suppose -n = 17*n + o*n. Find u such that -1/5*u**4 - 21/5*u**2 + 8/5*u**3 + n + 18/5*u = 0.
0, 2, 3
Solve -2/5*z**2 + 84/5*z - 32 = 0.
2, 40
Suppose 223*r - 24 = 108*r + 109*r. Factor -12/5*j - 33/5*j**2 - 27/5*j**3 + 0 - 3/5*j**r + 3/5*j**5.
3*j*(j - 4)*(j + 1)**3/5
Let r(s) be the second derivative of 3*s**5/20 + 9*s**4 + 173*s**3/2 - 315*s**2 - 2*s + 3075. Determine h, given that r(h) = 0.
-30, -7, 1
Let o(i) be the second derivative of i**6/30 - 49*i**5/20 - 17*i**4/4 + 49*i**3/6 + 25*i**2 + 420*i. Factor o(r).
(r - 50)*(r - 1)*(r + 1)**2
Let o(v) be the first derivative of 64 + 11/3*v**3 + 85/2*v**2 + 1/12*v**4 - 289/3*v. Determine t, given that o(t) = 0.
-17, 1
Let s(n) be the third derivative of -7 + 0*n - 1/6*n**5 + 1/105*n**7 + 1/60*n**6 + 1/4*n**4 + 3*n**2 + 0*n**3. Factor s(w).
2*w*(w - 1)**2*(w + 3)
Factor -147968 - 14144/3*f - 338/9*f**2.
-2*(13*f + 816)**2/9
Let y(x) = -17*x + 36. Let u be y(2). Factor -3*j**2 + 6*j - 4*j + u*j**2.
-j*(j - 2)
Factor -39/4*j**2 - 3/4*j**3 + 0 + 0*j.
-3*j**2*(j + 13)/4
Let o(p) = -5*p**2 + 9*p - 4. Let w = -37 - -62. Let z = 28 - w. Let r(i) = -6*i**2 + 9*i - 3. Let m(q) = z*o(q) - 2*r(q). Solve m(g) = 0.
1, 2
Let v(d) be the second derivative of -d**5/40 + 5*d**4/8 + 21*d**3/2 - 3*d - 4. What is m in v(m) = 0?
-6, 0, 21
Let h(c) be the second derivative of -1/5*c**5 + 0*c**3 + 7*c**2 + 0 - 2/15*c**6 - 12*c + 0*c**4. Let p(f) be the first derivative of h(f). Factor p(b).
-4*b**2*(4*b + 3)
Let b(t) be the second derivative of 63*t + 16/15*t**3 + 0 - 1/60*t**4 - 128/5*t**2. Factor b(l).
-(l - 16)**2/5
Let a(w) = -10*w**2 + 525*w - 2000. Let y(i) = 11*i**2 - 494*i + 2001. Let n(t) = -6*a(t) - 5*y(t). Factor n(f).
5*(f - 133)*(f - 3)
Let i(c) be the first derivative of -2*c**5/15 + 4*c**4/3 + 22*c**3/3 + 307. What is v in i(v) = 0?
-3, 0, 11
Let b = 567900 + -7389445/13. Let l = b - -519. Factor 12/13*q**3 + l*q**5 + 2/13*q + 8/13*q**2 + 8/13*q**4 + 0.
2*q*(q + 1)**4/13
Let k(z) be the second derivative of 4*z**6/15 - 33*z**5/10 + 2*z**4/3 + 11*z**3 - 8*z**2 + 2400*z. Find m such that k(m) = 0.
-1, 1/4, 1, 8
Suppose -32*q + 17 = 17. Let p be 128/16 - (q - -8). Factor p + 4/3*x - 3*x**4 - 25/3*x**3 - 4*x**2.
-x*(x + 1)*(x + 2)*(9*x - 2)/3
Let p(d) = 2*d**2 - 17*d + 37. Let g be p(5). Suppose 0 = -g*s - 78 + 82. Factor -6/5*h - 2/5*h**4 + 2/5*h**s + 0 + 6/5*h**3.
-2*h*(h - 3)*(h - 1)*(h + 1)/5
Let v(o) be the third derivative of o**6/40 - 69*o**5/20 - 141*o**4/8 - 71*o**3/2 - 7*o**2 + 379*o. Factor v(i).
3*(i - 71)*(i + 1)**2
Suppose 0 = 8*l - 3*l - 10, -l - 14 = -2*v. Let p be (-1 + 2)*(-2)/v*-12. Factor -9/2*f**2 + 3/2*f**p + 3*f + 0.
3*f*(f - 2)*(f - 1)/2
Let n(k) = 42*k**3 + 69*k**2 + 39*k - 6. Let a(s) = -2*s**3 - s**2 - s + 1. Let r(q) = -6*a(q) - n(q). Factor r(f).
-3*f*(f + 1)*(10*f + 11)
Let r(k) be the first derivative of -k**5/210 + k**4/84 + 2*k**3/21 - k**2 + 35*k - 62. Let l(w) be the second derivative of r(w). Factor l(p).
-2*(p - 2)*(p + 1)/7
Let g(f) be the third derivative of -1/20*f**4 + 11/300*f**5 + 0 - 49*f**2 + 0*f + 0*f**3 - 1/150*f**6 - 1/1050*f**7. Suppose g(s) = 0. What is s?
-6, 0, 1
Suppose 2*p - 10 = -0*y + 2*y, y + 13 = 5*p. Let m = -2 + 4. Factor c + 0*c - 6 - m*c**2 - 4*c + 5*c**p.
3*(c - 2)*(c + 1)
Let y be (-8)/36 - (-3 + 31938/702). Let w = 564/13 + y. Factor w - 2/3*c + 1/6*c**3 - 1/6*c**2.
(c - 2)*(c - 1)*(c + 2)/6
Let h(m) be the first derivative of 5*m**4/2 + 184*m**3/9 + 49*m**2 + 12*m - 889. Factor h(a).
2*(a + 3)**2*(15*a + 2)/3
Suppose 891/2*t**2 + 447*t - 3/2*t**3 + 0 = 0. Calculate t.
-1, 0, 298
Suppose 7*g = 28, -3*l = 171*g - 173*g + 2. Find u such that 0*u**l - 3 + 1/4*u**3 - 13/4*u = 0.
-3, -1, 4
Let c(b) be the second derivative of 221*b - 295/6*b**3 + 0 + 25/3*b**4 - 15/2*b**2. Factor c(s).
5*(s - 3)*(20*s + 1)
Let p(n) be the third derivative of 0 - 13/80*n**5 - 1/4*n**3 - 15/32*n**4 + 155*n**2 + 0*n. Let p(o) = 0. What is o?
-1, -2/13
Let s be 1870/187 + (6/(-4) - -2 - (-6431766)/380). Factor s*u + 3/5*u**3 - 873/5*u**2 - 2738019/5.
3*(u - 97)**3/5
Factor -77*w**2 + 243*w + 170*w**2 - 96*w**2 + 756.
-3*(w - 84)*(w + 3)
Let u = 59/1384 + -1/1038. Let d(t) be the second derivative of 0 + 1/18*t**3 + 12*t + 0*t**2 + u*t**4. Factor d(a).
a*(3*a + 2)/6
Suppose 1395*n + 351*n - 99984 = -96*n - 241*n. Find r such that -n*r**3 - 57*r + 171/2*r**2 + 12 + 15/2*r**4 = 0.
2/5, 1, 4
Let d(q) = 18*q**4 - 227*q**3 + 1640*q**2 - 2580*q - 1716. Let o(g) = 4*g**4 + g**3 - g**2 - g + 3. Let a(k) = d(k) - 4*o(k). Suppose a(i) = 0. Calculate i.
-1/2, 4, 108
Let c(g) be the third derivative of 2*g**7/35 - 5*g**6/6 + 9*g**5/5 + 3*g**4/2 - 28*g**3/3 + g**2 + 55. Determine l so that c(l) = 0.
-2/3, 1, 7
Let v(s) = -68*s**2 + 228*s - 158. Let j be v(1). Factor 18 + 5/2*y**4 - 39/2*y**3 - 105/2*y + 103/2*y**j.
(y - 3)**2*(y - 1)*(5*y - 4)/2
Let w(q) = -q**3 + 19*q**2 + 45*q - 61. Let l be w(21). Suppose l*h - 11 = -3. Factor 0*c + 0*c**3 + 0*c**2 - 2/7*c**h + 2/7*c**5 + 0.
2*c**4*(c - 1)/7
Let d(u) be the second derivative of u**7/14 - 4*u**6/5 - 9*u**5/20 + 13*u**4/2 - 8*u**3 + 25*u + 34. Solve d(s) = 0.
-2, 0, 1, 8
Let 19*x**3 + 19*x**3 + 107*x**2 + 20*x**3 - x**4 + 144 - 270*x + 8*x**3 - 46*x**3 = 0. What is x?
-6, 1, 24
Factor 123003 + 103*n**3 - 11340*n - 106*n**3 + 446*n**2 + 6597 - 122*n**2.
-3*(n - 48)*(n - 30)**2
Let s(r) be the third derivative of 0 - 1/36*r**4 + 0*r**5 + 1/1260*r**7 + 0*r + 0*r**3 + 56*r**2 + 1/240*r**6. Suppose s(n) = 0. What is n?
-2, 0, 1
Let g be (-923654)/(-1358513) - (-4)/(-62). Let -384/13*f - 512/13 + 24/13*f**3 - g*f**2 - 2/13*f**4 = 0. What is f?
-2, 8
Suppose 12*g - 5*g = 0. Suppose g*m - 6*m = -0*m. Suppose 2/17*k + m + 2/17*k**2 = 0. Calculate k.
-1, 0
Let w(m) = 100*m - 4398. Let u be w(44). Let 6/5 + 4*y**u + 62/5*y = 0. What is y?
-3, -1/10
Let q be 16720/(-15048) + (-239)/(-45). Factor -q*v + 18/5*v**2 + 3/5*v**3 + 0.
3*v*(v - 1)*(v + 7)/5
Let q be ((-125)/(-70))/(240/140). Let f(x) be the third derivative of -1/12*x**5 + 0*x - q*x**4 - 14*x**2 - 5/2*x**3 + 1/24*x**6 + 0. Factor f(a).
5*(a - 3)*(a + 1)**2
Solve 114*t**2 - 845*t + 334*t + 79*t**2 + 29*t**2 - 8*t**3 - 489*t - 264 = 0 for t.
-1/4, 6, 22
Let h(z) be the second derivative of 3*z**5/200 + z**4/40 + z**3/60 + 7*z**2 - z - 2. Let q(c) be the first derivative of h(c). Suppose q(s) = 0. What is s?
-1/3
Let d = 275 + -259. Determine a so that -11*a**3 + 6*a - d*a**3 + a**2 + 43*a**3 - 17*a**3 = 0.
-2, 0, 3
Let u be (666/(-27) + 22)*(31 - 45). Factor u*y + 4/3*y**2 + 0.
4*y*(y + 28)/3
Let w(f) be the first derivative of -3*f**4/4 + 3*f**3 + 150*f**2 + 288*f - 1159. Factor w(t).
-3*(t - 12)*(t + 1)*(t + 8)
Let d(m) = 23*m**4 - 6*m**3 - 63*m**2 + 46*m + 130. Let a(j) = -7*j**4 + 2*j**3 + 21*j**2 - 16*j - 43. Let r(s) = -10*a(s) - 3*d(s). What is u in r(u) = 0?
-4, -1, 2, 5
Let x(a) be the third derivative of 0 + 1/300*a**5 - 136*a**2 - 2/15*a**4 + 32/15*a**3 + 0*a. Factor x(c).
(c - 8)**2/5
Let y = 40487/7692 - 26/1923. What is g in -21/4*g 