*(s - 6)*(17*s - 1)**2/11
Factor -230*m - 155*m - 3*m**2 + 189 + 600*m - 204*m - 197*m.
-3*(m - 1)*(m + 63)
Suppose -5*j = -m + 4806, m + 5*j - j = 4779. Suppose -3*g + 3*t + m = -864, -7536 = -4*g + 2*t. Factor 4*l - 1883 + 46*l**2 + g.
2*l*(23*l + 2)
Let q(u) be the third derivative of u**7/840 - u**6/15 - 70*u**3/3 - 19*u**2. Let o(w) be the first derivative of q(w). Factor o(f).
f**2*(f - 24)
Suppose -2050 = -20*o - 17550. Let u = 3101/4 + o. Let -1/4*l**2 + 5/4*l - 3/4 - u*l**3 = 0. What is l?
-3, 1
Determine q, given that -28*q**4 - 202 + 346 + q**5 + 15*q**4 - 186*q + 41*q**3 + 0*q**5 + 13*q**2 = 0.
-2, 1, 3, 8
Suppose 26 = 5*x - p, -p = 4*x - 8*x + 21. Suppose -x*k - 7 = -4*d - 10, 0 = 5*d - k - 12. Factor 1/3*u**d + 0 + u**2 - 1/3*u - u**4.
-u*(u - 1)*(u + 1)*(3*u - 1)/3
Let t(k) be the third derivative of 12*k**5/5 - 27*k**4/4 - 86*k**3/3 + 20*k**2 + k. Factor t(q).
2*(3*q + 2)*(24*q - 43)
Factor 96/7*t + 4/7*t**2 + 0.
4*t*(t + 24)/7
Let d(p) = 2*p**3 + p + 3. Let j(n) = -10*n**3 - 6*n - 16. Let a = 45 - 29. Suppose 34*z - 1452 + 1350 = 0. Let q(w) = a*d(w) + z*j(w). Solve q(g) = 0.
-1, 0, 1
Let n be 1 - ((-174)/4 - 42/28). Let k = n + -41. Determine y, given that 4*y**3 - 677 + 2*y**k - 6*y**4 + 677 = 0.
0, 1, 2
Factor -96506*x**3 + 2896804 + 89706*x**3 + 2223991*x + 2883192*x**2 + 3562809*x + 4*x**4.
4*(x - 851)**2*(x + 1)**2
Let g(c) be the third derivative of c**5/210 + 37*c**4/84 + 10*c**3/3 - 2699*c**2 - c + 3. Factor g(z).
2*(z + 2)*(z + 35)/7
Suppose 459*y**3 - 2989*y**2 + 101*y**3 - 2880*y + 5*y**5 - 115*y**4 + 3169*y**2 = 0. Calculate y.
-2, 0, 3, 6, 16
Let g(o) be the second derivative of 1/4*o**2 + 3 - 1/60*o**6 + 1/20*o**5 - 1/6*o**3 + 0*o**4 - 2*o. Let g(r) = 0. What is r?
-1, 1
Let r(g) be the third derivative of -g**6/70 - 11*g**5/140 + 219*g**4/56 - 27*g**3/7 - 2*g**2 - 2003. Solve r(h) = 0 for h.
-9, 1/4, 6
Let q(b) be the second derivative of -2/15*b**6 + 0 - 8/5*b**5 + 16/3*b**3 - 2*b**4 - 54*b + 14*b**2. Let q(g) = 0. What is g?
-7, -1, 1
Let k(f) be the second derivative of 3*f**5/20 - 119*f**4/4 - 60*f**3 + f + 3616. Factor k(j).
3*j*(j - 120)*(j + 1)
Let c(v) be the first derivative of v**5/4 - 55*v**4/12 + 80*v**3/3 - 70*v**2 + 20*v + 66. Let t(p) be the first derivative of c(p). Factor t(m).
5*(m - 7)*(m - 2)**2
Let l(q) be the third derivative of q**5/12 + 685*q**4/4 + 4105*q**3/6 - 3653*q**2. Solve l(x) = 0 for x.
-821, -1
Factor -2*y**2 + 650 - 1401*y - y**2 - 2066 + 2820.
-3*(y - 1)*(y + 468)
Let a(x) be the second derivative of x**5/10 - 266*x**4 + 1063*x**3 - 1594*x**2 - 4957*x. Factor a(d).
2*(d - 1594)*(d - 1)**2
Let g be (580/(-1624))/(30/(-168)). Factor 3/5*d**g - 6*d - 72/5.
3*(d - 12)*(d + 2)/5
Let y(j) be the first derivative of -j**3/3 + 33*j**2 - 360*j - 3447. Factor y(q).
-(q - 60)*(q - 6)
Let q(x) = -x**2 - 5*x + 2. Let l be q(-5). Let c(r) = 257*r - 17473. Let m be c(68). Factor -1/2*k - 2*k**4 - 1/2*k**5 - 2*k**l + 0 - m*k**3.
-k*(k + 1)**4/2
Determine m, given that -2/17*m**3 - 44/17*m + 0 - 46/17*m**2 = 0.
-22, -1, 0
What is o in -31*o**3 - 111*o**4 + 439*o**3 - 293*o**2 + 6*o**5 - 3*o**5 + 103*o**2 - 206*o**2 = 0?
0, 2, 33
Let j = -44 - -76. Suppose 3*b - m = j, -2*b + 3*m = 6*m - 36. Solve 213*y**4 + 28*y - b - 234*y**4 + 3*y**5 + 20*y - 75*y**2 + 57*y**3 = 0.
1, 2
Let b(d) be the first derivative of 3*d**2 + 0*d - 13/12*d**3 - 1/8*d**4 + 193. What is m in b(m) = 0?
-8, 0, 3/2
Solve 52*b**3 + 84 + 26307*b**4 - 128*b**2 + b**5 - 38*b - 16*b**3 - 26263*b**4 + b**5 = 0 for b.
-21, -2, -1, 1
Let t = 10893 - 10893. Let m(d) be the third derivative of 1/27*d**4 + t*d - 1/9*d**3 - 1/270*d**5 + 0 - 19*d**2. Factor m(p).
-2*(p - 3)*(p - 1)/9
Suppose -3*y = 2*f + 18, 9 + 0 = -y - f. Factor 7/3*v**2 + 1/3*v**3 + y + 0*v.
v**2*(v + 7)/3
Let d be 5 - (-7 + 4 - -5). Let f be (-3 + d)/6 + 4 + -1. Find u such that 466 - 39*u**3 - 21*u**4 + 54*u + 6*u**2 - 466 + 3*u**2 - f*u**5 = 0.
-3, -2, 0, 1
Let u(g) be the first derivative of -4*g**3/9 - 32*g**2/3 - 256*g/3 + 1786. Find p, given that u(p) = 0.
-8
Let o(u) be the first derivative of -u**5/25 - u**4/20 + 2*u**3/5 + 8898. Factor o(x).
-x**2*(x - 2)*(x + 3)/5
Suppose z - 3*z = a - 8, z = a + 7. Let g(t) = -t**3 + 4*t**2 + 4*t + 5. Let h be g(z). What is d in -11*d**3 + 3*d**2 + h*d**3 + 8*d**3 + 6*d = 0?
-1, 0, 2
Suppose -87*g**4 + 282*g**2 - 21/2*g**5 + 246*g + 48 + 15/2*g**3 = 0. Calculate g.
-8, -1, -2/7, 2
Let -201*b - 28*b**2 - 159*b - 38*b**3 + 133*b - 182*b**2 - 23*b - 2*b**4 + 500 = 0. Calculate b.
-10, -5, 1
Suppose -325*l + 740*l - 663 = 194*l. Suppose 0 + 1/3*u - l*u**3 + u**2 + 5/3*u**4 = 0. What is u?
-1/5, 0, 1
Let q be ((44/(-3))/(-4))/(3102/1692). Determine n so that 30/7*n**4 - 8/7 + 36/7*n - n**5 - 29/7*n**3 - 22/7*n**q = 0.
-1, 2/7, 1, 2
Solve -142/11 - 2/11*f + 2/11*f**3 + 142/11*f**2 = 0 for f.
-71, -1, 1
Let o be -16*((-250)/40 - -6). Suppose -41*y + 36*y = 0, 0 = 3*p + o*y - 9. Let 27/2*r**p + 0 + 162*r + 81*r**2 + 3/4*r**4 = 0. What is r?
-6, 0
Let m(g) be the third derivative of g**7/42 - 27*g**5/4 - 287*g**2. Factor m(f).
5*f**2*(f - 9)*(f + 9)
Factor -35/3 + 3*l + 2/3*l**2.
(l + 7)*(2*l - 5)/3
Let y(r) = -10*r + 5*r - 5 + 13*r - r**2. Let j be y(5). Factor -10 - 25*b**5 + j*b**4 + 40*b**2 + 16*b - 110*b**3 - b + 0 + 80*b**4.
-5*(b - 1)**4*(5*b + 2)
Let q(n) = -n**2 + 3*n**2 + 2 - 362*n**3 - 3 + 360*n**3 + 6*n. Let b be q(2). Find i such that -60/7*i - 16/7 + 24*i**b + 14*i**4 + 26/7*i**2 = 0.
-1, -2/7, 4/7
Let m = 108260/133 + -51715/19. Let c = 1908 + m. Find u such that c*u**2 - 1/7*u**4 - 1/7*u + 1/7*u**3 + 0 = 0.
-1, 0, 1
Let l = 1289/3324 + 8/277. Let a(o) be the first derivative of 1 + 0*o - 1/20*o**5 - l*o**3 + 1/4*o**2 + 1/4*o**4. Factor a(i).
-i*(i - 2)*(i - 1)**2/4
Let g(o) be the third derivative of -o**6/200 - o**5/25 - o**4/40 + 3*o**3/5 + 29*o**2 - 21*o. Let g(a) = 0. Calculate a.
-3, -2, 1
Let a(r) = -r**2 + 49*r + 1124. Let g be a(66). Let d(w) be the first derivative of -2*w**3 + 0*w - w**g - 11/8*w**4 - 13 - 3/10*w**5. Solve d(v) = 0.
-2, -1, -2/3, 0
Let o = 131609/630 - 1880/9. Let d(l) be the second derivative of 0 + o*l**5 + 2/21*l**3 + 45*l + 0*l**2 - 1/14*l**4. What is c in d(c) = 0?
0, 1, 2
Suppose -1516*l - 150 = -1734*l + 722. Find o such that 0 - 62/11*o**3 - 40/11*o - 8/11*o**l + 16*o**2 = 0.
-10, 0, 1/4, 2
Let s(k) be the second derivative of -k**7/63 + k**6/3 + 97*k**5/30 + 65*k**4/18 - 32*k**3/3 - 80*k**2/3 - 1230*k. Suppose s(b) = 0. What is b?
-4, -1, 1, 20
Let m(v) = -11*v**3 + 101*v**2 - 170*v + 112. Let r(l) = 4*l**3 - 36*l**2 + 57*l - 37. Let y(t) = 3*m(t) + 8*r(t). Let y(s) = 0. What is s?
1, 4, 10
Let z = 669168/5 - 133832. Determine d so that -z*d**2 - 1/5*d**5 + 16/5*d + 0 - 3*d**3 + 8/5*d**4 = 0.
-1, 0, 1, 4
Let n be ((-192)/42)/(-8)*7. Let d(c) = -c**2 + 11*c - 26. Let v be d(n). Factor 3/8*p**v + 3/8*p**4 - 3/4*p**3 + 0*p + 0.
3*p**2*(p - 1)**2/8
Factor 116*s - 59/3*s**3 + 52/3*s**2 + 0 + 1/3*s**4.
s*(s - 58)*(s - 3)*(s + 2)/3
Solve v**3 - v**2 - 40484*v + 0*v**3 + 40452*v + 60 = 0 for v.
-6, 2, 5
Let w(u) be the first derivative of u**6/360 + u**5/30 + u**4/6 - 25*u**3/3 + 35. Let n(l) be the third derivative of w(l). Determine b so that n(b) = 0.
-2
Determine o, given that 912*o - 912*o + 3*o**3 - 14*o**4 - 5*o**5 + 2*o**3 - 45*o**2 + 59*o**4 = 0.
-1, 0, 1, 9
Let n(t) be the first derivative of 1/12*t**3 - 3/2*t**2 + 65 + 11/4*t. Factor n(m).
(m - 11)*(m - 1)/4
Let c = 260813 - 260808. Let l be (9/(-3) + 3)/2. Suppose l*w + 16/5*w**3 + 0*w**2 + 0 + 56/5*w**4 + 49/5*w**c = 0. Calculate w.
-4/7, 0
Determine f, given that 6*f**2 - 7*f**2 - 24*f - 3 - 2*f**2 - 46 + 109 = 0.
-10, 2
Let l(y) be the first derivative of 4/9*y**2 - 1/27*y**3 + 72 + 0*y. Suppose l(h) = 0. Calculate h.
0, 8
Let d be (-5)/(-5*(-2 - 14/(-10))*4770/(-1908)). Solve -4/3*t**3 - d*t**4 + 2*t**2 + 0 + 0*t = 0.
-3, 0, 1
Let u(g) be the first derivative of 4*g**5/5 - 13*g**4 - 256*g**3/3 - 136*g**2 + 2178. Find p such that u(p) = 0.
-2, 0, 17
Let -160*x + 11*x**5 - 37*x**5 - 316*x**3 - 122*x**4 - 42*x**4 - 34*x**5 + 980*x**3 - 112*x**2 = 0. What is x?
-5, -2/5, 0, 2/3, 2
Let m(f) be the first derivative of 3*f**5/5 + 51*f**4/4 + 16*f**3 - 924. Factor m(n).
3*n**2*(n + 1)*(n + 16)
Suppose 0 = q - 3*d + 10, -4*d 