8680*n**2 + 47040*n + 1886. Suppose q(b) = 0. Calculate b.
3, 56
Let c(u) be the third derivative of 4*u**2 + 0*u**4 - 20 + 0*u**3 + 0*u - 1/180*u**6 - 1/15*u**5. Suppose c(m) = 0. Calculate m.
-6, 0
Let z(x) be the first derivative of 418*x**3/3 + 421*x**2 + 12*x + 14781. Let z(v) = 0. What is v?
-2, -3/209
Let l(m) be the first derivative of 4*m**3/15 + 284*m**2/5 - 572*m/5 + 3457. Factor l(o).
4*(o - 1)*(o + 143)/5
What is p in 116*p**3 + 64*p + 106*p**3 - 2*p**4 + 616*p - 176*p**3 + 728*p**2 = 0?
-10, -1, 0, 34
Let p(x) be the third derivative of x**5/60 + 341*x**4/12 + 96*x**2 - 3*x + 1. Suppose p(a) = 0. What is a?
-682, 0
What is t in -2/3*t**4 + 0 - 2*t - 14/3*t**2 - 10/3*t**3 = 0?
-3, -1, 0
Find i, given that -3273 - 114376 + 7203*i - 98*i**2 - 49*i**2 + i**3 = 0.
49
Let s(w) = -78*w + 474. Let n be s(6). Let j be (11/297 - 0)*n/1. Suppose 8/3*f + 8 + j*f**2 = 0. Calculate f.
-6
Let u(i) be the first derivative of -1/9*i**3 + 1/3*i**2 + 6 + 8/3*i. Determine s, given that u(s) = 0.
-2, 4
Suppose 0 = -288*h - 140*h - 471*h. Factor 5/3*t**3 + 1/3*t**4 - 8*t + h - 2/3*t**2.
t*(t - 2)*(t + 3)*(t + 4)/3
Let q(g) = 48*g**3 + 270*g**2 + 416*g - 56. Let y(h) = -239*h**3 - 1338*h**2 - 2081*h + 281. Let l(f) = -22*q(f) - 4*y(f). Factor l(k).
-4*(k + 3)**2*(25*k - 3)
Let y(x) = -19*x**2 + 5320*x - 53701. Let h(g) = -7*g**2 + 1995*g - 20138. Let s(a) = 21*h(a) - 8*y(a). Find q such that s(q) = 0.
11, 122
Let k = 3/11024 + 21997/187408. Factor 0 + 8/17*f**2 + 0*f + k*f**3.
2*f**2*(f + 4)/17
Let 0*o + 0 + 38/3*o**3 - o**2 = 0. What is o?
0, 3/38
Let k(a) be the second derivative of a**6/6 - 49*a**5/2 + 1895*a**4/12 - 235*a**3 + 60*a - 3. What is n in k(n) = 0?
0, 1, 3, 94
Let o(p) = -p**2 - 51*p - 172. Let z be o(-4). Let j be (-1)/11*(0 - z/2). Find q such that j + 50/11*q**2 + 14/11*q**4 + 32/11*q + 2/11*q**5 + 38/11*q**3 = 0.
-2, -1
Let t be 1025/328 + 1/(-8). Solve -18356*z - 28*z**2 + 18356*z + 4*z**t = 0.
0, 7
Let s = -194 + 189. Let h be -6 - (-12)/(13/2 + s). Determine f, given that 24 + 32*f + 2/3*f**3 + 26/3*f**h = 0.
-6, -1
Let d be (-3)/(2 + 6/((-24)/10)). Find a, given that 2 + 0 + d + 8*a**3 + a**4 + 28*a**2 - 7*a**2 + 22*a = 0.
-4, -2, -1
Let d = 377142 + -3394277/9. Find f, given that -11/9*f - 2 + d*f**4 + 17/9*f**2 + 11/9*f**3 = 0.
-9, -2, -1, 1
Let p(b) be the first derivative of 8 + 3/80*b**5 - 3/16*b**4 + 0*b**2 + 15*b + 1/4*b**3. Let k(x) be the first derivative of p(x). Factor k(v).
3*v*(v - 2)*(v - 1)/4
Let d = -15487 - -216821/14. Let a(n) be the first derivative of -3 + 2/35*n**5 - d*n**4 - 4/21*n**3 + 12/7*n**2 - 16/7*n. Determine q, given that a(q) = 0.
-2, 1, 2
Let m = -108586/203 + 16142/29. Factor m*d - 2888/7 - 2/7*d**2.
-2*(d - 38)**2/7
Factor -6*a**3 + 3*a**3 - 1850*a**2 - 115577*a - 7902 - 2*a**3 + 353862 - 53683*a.
-5*(a - 2)*(a + 186)**2
Let h(i) be the first derivative of i**4/14 + 4*i**3/21 - i**2/7 - 4*i/7 + 1253. Factor h(z).
2*(z - 1)*(z + 1)*(z + 2)/7
Let u(a) be the third derivative of 2*a**4 + 0 + 11*a - 31/4*a**3 + 11*a**2 - 1/40*a**5. Factor u(v).
-3*(v - 31)*(v - 1)/2
Let v be -16 + 62/3 - 120/72. Suppose -3 - 17/2*i**2 + 17/2*i + 7/2*i**v - 1/2*i**4 = 0. What is i?
1, 2, 3
Let m = -161163 - -161165. Let 22/5 - 68/5*x + 6/5*x**m = 0. What is x?
1/3, 11
Suppose 42*h - 47*h + 61 = 3*k, -12*h - 2*k + 84 = 0. Factor 0*m + 0 + 0*m**2 + 3*m**4 - 11/4*m**3 - 1/4*m**h.
-m**3*(m - 11)*(m - 1)/4
Suppose w + 21 = 5*n - 64, 0 = -3*w. Suppose -116 = -33*m - n. Factor -2*c**4 - 1/2*c**5 - 4 + 5*c**2 - 1/2*c**m + 2*c.
-(c - 1)**2*(c + 2)**3/2
Let x be 9 + ((-570)/50*-1 - 12) - 8. Suppose 2/5*h**3 - x*h**5 + 0*h + 0*h**4 + 0*h**2 + 0 = 0. What is h?
-1, 0, 1
Let l(a) = 6*a**3 + 40*a**2 - 498*a + 456. Let f(m) = m**3 - 2*m**2 + 2. Let g(p) = 4*f(p) - l(p). Determine v, given that g(v) = 0.
-32, 1, 7
Let a(q) be the first derivative of 7*q**3/3 - 223*q**2/2 - 191. Let c(m) = -6*m**2 + 222*m. Let h(s) = 2*a(s) + 3*c(s). Suppose h(d) = 0. Calculate d.
0, 55
Let i be 2 - -1 - ((-120)/(-1680))/(2/70). Let n = -2 + 4. Suppose -1/2*y + 1/2*y**3 - 1/2*y**n + i = 0. What is y?
-1, 1
Let k(w) = 77*w**3 - w**2 + 3*w + 2. Let b be k(-2). Let t = b - -4390/7. Suppose -t*x**4 + 0*x - 8/7*x**2 + 0 - 24/7*x**3 - 6/7*x**5 = 0. Calculate x.
-2, -1, -2/3, 0
Find c, given that -2*c - 5/6 - 2/3*c**2 = 0.
-5/2, -1/2
Let p(x) be the first derivative of 4*x**3/3 + 51*x**2 - 867*x - 33. Let d(c) = 3*c**2 + 68*c - 578. Let j(g) = 7*d(g) - 5*p(g). Suppose j(t) = 0. What is t?
17
Suppose 33 = -7*z + 19. Let f(b) = -5*b**4 + b**3 + 18*b**2 - 10*b - 22. Let k(r) = r**4 + r**3 - r - 1. Let q(i) = z*k(i) - f(i). Factor q(p).
3*(p - 2)**2*(p + 1)*(p + 2)
Let j(i) be the first derivative of -i**4/8 - 28*i**3/3 + i**2/4 + 28*i + 529. Suppose j(n) = 0. Calculate n.
-56, -1, 1
Suppose -25 = -c + 2*k, -c - 3*k - 24 = -2*c. Suppose -4*n = -7*n + c. Factor 6*r**5 - 10*r**3 - 5*r**5 + n*r**3.
r**3*(r - 1)*(r + 1)
Let y(a) be the second derivative of 0*a**2 - 1/6*a**3 + 2*a + 1/36*a**4 - 18. Factor y(s).
s*(s - 3)/3
Let u be (-4)/8 - -1*(-516)/(-1048). Let k = u + 531/917. Factor -6/7 + 2/7*w**2 + k*w.
2*(w - 1)*(w + 3)/7
Suppose 0 = 15*i - 79 + 19. Factor 7*n - i*n - 15*n**2 - n**5 + 2 + n**2 - 2*n**3 + 5*n**4 + 7.
-(n - 3)**2*(n - 1)*(n + 1)**2
Let o(m) = -6*m**3 - 30*m**2. Let u be o(-5). Let j(q) be the first derivative of 0*q**2 + 5/4*q**4 + u*q - 16 + 0*q**3. Factor j(i).
5*i**3
Let o(m) = 76*m**2 - 37*m + 109. Let d(l) = 41*l**2 - 17*l + 54. Let f(i) = 11*d(i) - 6*o(i). Factor f(s).
-5*(s - 4)*(s - 3)
Suppose 24*f**2 + 17*f**3 + 15*f**3 - 52*f - 44*f - 24*f**4 + 4*f**5 + 60*f = 0. Calculate f.
-1, 0, 1, 3
Let y(o) be the second derivative of 1/6*o**4 - 1/5*o**5 - 2 - 63*o + 1/42*o**7 + 1/2*o**3 + 0*o**6 - o**2. Let y(j) = 0. Calculate j.
-2, -1, 1
Suppose 625 - 4 = 207*r. Factor 1/3*h + h**4 - 1/3*h**r - h**2 + 0.
h*(h - 1)*(h + 1)*(3*h - 1)/3
Let m(u) be the second derivative of u**6/25 + 59*u**5/25 - 111*u**4/10 + 128*u**3/15 + 84*u**2/5 - 5400*u. Find j, given that m(j) = 0.
-42, -1/3, 1, 2
Let f be 56/(-16)*(-80)/35. Let x(g) be the first derivative of -125*g + f - 150*g**2 - 230/3*g**3 - g**5 - 15*g**4. Factor x(d).
-5*(d + 1)**2*(d + 5)**2
Let f(r) be the first derivative of -11/3*r**2 - 4*r + 16/9*r**3 + 30 - 4/15*r**5 + 11/6*r**4. Solve f(n) = 0.
-1, -1/2, 1, 6
Let a(x) = 48*x - 240. Let d be a(19). Let m = 676 - d. Let 5/4*j**m + 0*j + 1/4*j**2 + 1/2*j**5 + 0 + j**3 = 0. What is j?
-1, -1/2, 0
Let s(b) be the third derivative of b**6/180 + 14*b**5/15 + 41*b**4/9 + 2342*b**2 - 1. Determine k, given that s(k) = 0.
-82, -2, 0
Suppose s = 16 + 1. Let n = -15 + s. Factor -358*o**n + 3*o**3 - 24*o - 54 + 87*o + 334*o**2.
3*(o - 3)**2*(o - 2)
Find j such that 23 - 82*j**4 - 256*j**2 - 219*j - 4*j**5 - 39*j + 169 + 330*j**3 - 118*j + 96*j**2 = 0.
-24, -1, 1/2, 2
Let n = 452 - 368. Determine a so that -9*a**2 - 11*a**3 + 20 - 40 - 112*a**4 - 20 - n*a - 12*a**5 + 107*a**3 + 161*a**2 = 0.
-10, -1, -1/3, 1
Solve -3542*o**2 - 168*o - 315 + 3537*o**2 - 152*o = 0 for o.
-63, -1
Suppose -470*y + 21 = 386 - 2715. Factor 0*p**2 + 2/9*p**y + 0*p**3 + 0*p - 2/9*p**4 + 0.
2*p**4*(p - 1)/9
Let n(t) be the third derivative of -4*t**2 + 5/24*t**6 - 5/24*t**4 + 5 + 1/4*t**5 + 0*t + 1/21*t**7 - 5/6*t**3. Solve n(l) = 0.
-1, 1/2
Find h, given that 32*h**4 + 225*h**3 + 35*h - 4*h**5 + 224*h**3 + 229*h**3 - 32*h**2 + 13*h - 722*h**3 = 0.
-1, 0, 1, 2, 6
Let c(h) = 2*h**2 - 27*h + 41. Let l be c(12). Find k, given that -63*k**2 - 5 - 36*k - 18 + 93*k + 22*k**3 - 3*k**4 + 5 + l*k**3 = 0.
1, 6
Let s = -405 + 429. Factor 4*q**2 + 90*q**2 - 136*q + s*q - 40 - 14*q**3.
-2*(q - 5)*(q - 2)*(7*q + 2)
Let a be ((-9)/42)/(891/108 + -9). Find s, given that 12/7*s + 2/7*s**4 - 12/7*s**3 + 0 - a*s**2 = 0.
-1, 0, 1, 6
Let a be 9 - (-1624*(-30)/5760 + (-2)/16). Suppose -a*n**2 + 10/3*n - 8/3 = 0. Calculate n.
1, 4
Let g(b) be the third derivative of b**7/2520 - b**6/360 - b**4/12 + 34*b**3/3 - 9*b**2 - 1. Let z(q) be the second derivative of g(q). Factor z(s).
s*(s - 2)
Factor 1/2*o**2 + 105/2*o + 52.
(o + 1)*(o + 104)/2
Let w = -51809 - -51811. Factor -1/3 + 1/3*t**w + 0*t.
(t - 1)*(t + 1)/3
Let h(t) be the first derivative of -2*t**3/21 + 57*t**2/7 - 220*t/7 - 272. Factor h(o).
-2*(