42*a - 219. Let c be n(19). Let v be (-244)/c*3 - (-22)/(-132). Factor -36/7 - v*u**2 - 60/7*u.
-3*(u + 6)*(3*u + 2)/7
Let t(s) be the third derivative of 5*s**8/336 + 97*s**7/42 - 67*s**6/4 + 103*s**5/6 + 2005*s**4/24 - 505*s**3/2 + 10*s**2 - 15*s - 1. What is y in t(y) = 0?
-101, -1, 1, 3
What is c in 369*c**2 + 3*c**3 - 168 + 1161 - 1515*c + 150 = 0?
-127, 1, 3
Let d(z) be the first derivative of 1/5*z**5 - 11/28*z**4 + 0*z**2 + 143 + 0*z - 1/42*z**6 + 5/21*z**3. Solve d(t) = 0.
0, 1, 5
Let f(a) = 100*a + 762. Let h(n) = n**2 + 792*n + 6093. Let z(b) = -17*f(b) + 2*h(b). Factor z(w).
2*(w - 64)*(w + 6)
Suppose 5*a - 308 = b, -b + 7*a - 11*a - 272 = 0. Let u be 6400/150*7/((-14)/b). What is k in 48*k**3 + 3072*k + 576*k**2 + 3/2*k**4 + u = 0?
-8
Suppose 0 = 2*k - 125 + 35. Determine q, given that -2*q + 12*q**2 - 3*q + k*q**3 + 2*q - 42*q**3 - 12 = 0.
-4, -1, 1
Solve -10880 + 5*v**3 - 2110*v**2 + 1095 + 1425 + 8380*v = 0 for v.
2, 418
Let q = -118 - -133. Suppose 2*z = q - 3. Factor 4*j**3 - 25*j**2 + 10*j**2 + z*j**4 - 2*j**4 + 11*j**2 - 4*j.
4*j*(j - 1)*(j + 1)**2
Let d(k) be the first derivative of 39 + 289*k + 1/3*k**3 + 17*k**2. Solve d(p) = 0.
-17
Let i(b) be the first derivative of -b**4/26 - 1514*b**3/39 - 10991*b**2 + 287282*b/13 + 2302. Let i(q) = 0. What is q?
-379, 1
Let w(f) be the second derivative of f**4/6 + 5176*f**3/3 + 6697744*f**2 + 236*f + 1. Let w(z) = 0. Calculate z.
-2588
Suppose 16*s + 8 = 20*s. Factor -72 + 80*a + 92 - 26*a**2 - 19*a**s.
-5*(a - 2)*(9*a + 2)
Let l(y) = -476*y + 29990. Let d be l(63). Factor d + 1/6*g - 1/6*g**2.
-(g - 4)*(g + 3)/6
Let p = 29/2844 + 22607/14220. What is d in 12/5*d**3 + 0 - 18/5*d**4 - 2/5*d**2 + 0*d + p*d**5 = 0?
0, 1/4, 1
Let u(v) = 36*v + 37. Let f be u(-1). What is i in -i**3 - 9*i**2 - 12*i - 4 + f + 3 + 22*i**2 = 0?
0, 1, 12
Let p(d) = 138*d + 4140. Let l be p(-30). Factor 7/2*j**2 + 2*j + l + j**3 - 1/2*j**4.
-j*(j - 4)*(j + 1)**2/2
Let g = 1486 - 1387. Let t = 108 - g. Factor 0 - 39/5*z**4 + 0*z - t*z**3 - 6/5*z**2.
-3*z**2*(z + 1)*(13*z + 2)/5
Let u = 188/345 + -10/69. Let h(k) = 3*k**2 - 35*k + 105. Let f be h(6). Factor 2/5*w**5 + 2*w + 4*w**f + u + 4*w**2 + 2*w**4.
2*(w + 1)**5/5
Let u be (-8)/(-3)*((-6)/2)/(-6). Let f = 16163/9 + -1795. Factor u - 4/9*d**2 - f*d.
-4*(d - 1)*(d + 3)/9
Suppose 3/4*s**5 + 15/4*s**4 + 135*s - 231/4*s**3 + 0 + 297/4*s**2 = 0. What is s?
-12, -1, 0, 3, 5
Suppose -163*w - 137303 = 3*w - 137801. Suppose 3*z + 1/2*z**2 - 1/2*z**w + 0 = 0. Calculate z.
-2, 0, 3
Let 14/3*z**3 - 56/9*z**2 + 0 - 4/9*z**4 + 2*z = 0. Calculate z.
0, 1/2, 1, 9
Suppose 0 = 132*q - 139*q. Let z(k) be the third derivative of q*k**4 + 0*k**3 + 0*k**7 + 0*k**6 + 0*k + 0 + 1/840*k**8 + 0*k**5 + 14*k**2. Factor z(d).
2*d**5/5
Let h(q) be the first derivative of 0*q + 19/2*q**2 - 36 - 5/24*q**4 + 5/6*q**3 - 1/6*q**5. Let s(j) be the second derivative of h(j). Factor s(w).
-5*(w + 1)*(2*w - 1)
Let n = -253689/10 + 25369. Let p(i) be the first derivative of -7 + 14/15*i**3 + 3*i**2 + n*i**4 + 18/5*i. Factor p(u).
2*(u + 1)*(u + 3)**2/5
Factor 0 + 31/3*f**3 + 17/3*f**4 + 5*f**2 + 1/3*f**5 + 0*f.
f**2*(f + 1)**2*(f + 15)/3
Let l(n) = 2*n**2 - 2*n + 6. Let g(o) = -5 - 2*o**2 - 2 + o + 2*o. Let u be (-4)/(-14) + (-4539)/623. Let m(q) = u*l(q) - 6*g(q). Factor m(p).
-2*p*(p + 2)
Let u = 79 + -75. Let f = 55 - 23. Factor 0 + 2 + 8*n**u + 26*n**3 + f*n**2 - 2*n**2 + 14*n.
2*(n + 1)**3*(4*n + 1)
Let c(g) be the second derivative of -g**7/42 - 17*g**6/30 - 91*g**5/20 - 143*g**4/12 + 28*g**3/3 + 98*g**2 + 7443*g. Suppose c(l) = 0. Calculate l.
-7, -2, 1
Let s(q) be the second derivative of q**6/135 + 32*q**5/45 - 133*q**4/54 - 64*q**3/27 + 44*q**2/3 - 3*q - 80. Solve s(m) = 0.
-66, -1, 1, 2
Let r = 419 + -3769/9. Let b = -2393 + 2397. Suppose 4/9 - 34/9*c**2 - 2/9*c**3 + 10/3*c**b + r*c = 0. What is c?
-1, -1/3, 2/5, 1
Factor 5*h + 5*h**5 - 11*h**3 - 75*h**3 + 76*h**3.
5*h*(h - 1)**2*(h + 1)**2
Let p(s) = 12*s - 54. Let f be p(7). Find i, given that -65*i**2 + 2*i**3 + 3*i**3 - f*i**2 + 90*i = 0.
0, 1, 18
Let u(n) be the third derivative of -3 + 0*n**3 + 5/336*n**8 + 0*n**5 - 1/6*n**7 - 25*n**2 + 1/2*n**6 + 0*n**4 + 0*n. Let u(z) = 0. Calculate z.
0, 3, 4
Let k be (-2)/(-8)*-1 - 2/(-8). Suppose -3*d + 2*p = -k*d - 21, 3*d = 3*p + 24. Determine t, given that -138*t - 20*t**2 + 98*t - 20 + d*t**2 = 0.
-2, -2/3
Let n(g) be the first derivative of g**3/3 - 223*g**2/2 - 678*g + 1053. Suppose n(z) = 0. Calculate z.
-3, 226
Find g such that -1/3*g**5 - g**4 + 64/3*g**3 - 232/3*g**2 + 112*g - 176/3 = 0.
-11, 2
Let h(g) be the third derivative of -1/84*g**8 - 20/3*g**5 + 38/105*g**7 + 5*g - 8/3*g**6 + 0*g**3 + 0 - 5*g**2 + 0*g**4. Determine b so that h(b) = 0.
-1, 0, 10
Let s = 71219 - 71216. Factor 2/5*u**4 + 0*u + 0 + 4/5*u**2 - 6/5*u**s.
2*u**2*(u - 2)*(u - 1)/5
Suppose 0 = 4*w + 4*w - 40. Factor -3*s**2 + w - 18 - 14 - 18*s.
-3*(s + 3)**2
Find w, given that 58/7*w**3 + 334/7*w**2 - 58/7*w - 48 + 2/7*w**4 = 0.
-21, -8, -1, 1
Suppose 0 = 4*b - 4*s - 16, -4*b + 91*s = 89*s - 14. Factor -2*i**2 + 1/3*i**b + 0*i + 0.
i**2*(i - 6)/3
Let g(i) = -32*i**5 + 296*i**4 + 420*i**3 + 210*i**2 + 30*i + 4. Let b(z) = 12*z**5 - z**2 + z - 1. Let u(a) = -4*b(a) - g(a). Factor u(m).
-2*m*(m + 17)*(2*m + 1)**3
Let s(r) be the second derivative of r**5/20 + 1407*r**4/2 + 3959298*r**3 + 11141464572*r**2 - 16*r + 184. Factor s(g).
(g + 2814)**3
Find c, given that 15/2*c**5 + 0*c - 22/3*c**2 - 523/6*c**4 + 0 + 52*c**3 = 0.
0, 2/9, 2/5, 11
Find u such that 112 + 8*u**4 + 498*u**3 + 8*u**4 - 452*u + 8*u**4 - 1216*u**2 - 1126*u**3 = 0.
-1, 1/6, 28
Let f(o) be the second derivative of 2/3*o**2 + 1/30*o**5 + 0 - 31*o - 1/3*o**3 + 0*o**4. Factor f(c).
2*(c - 1)**2*(c + 2)/3
Let f(h) = -2*h**2 + 7*h - 25. Let p be f(15). Let m = -368 - p. Suppose -8/21 + 2/21*n**m + 0*n = 0. What is n?
-2, 2
Let z(w) be the first derivative of 0*w**2 + 22*w + 2/3*w**3 + 22 + 7/6*w**4 + 1/2*w**5. Let b(h) be the first derivative of z(h). Factor b(m).
2*m*(m + 1)*(5*m + 2)
Let q = 245363 - 245363. Determine y so that -14/23*y**3 + 0 - 4/23*y**4 + q*y**2 + 0*y = 0.
-7/2, 0
Let d = -608237/2 - -304129. What is o in d*o - 45/4 + 3/4*o**2 = 0?
-15, 1
Let p(g) = g**2 + g + 2. Let i(b) = -b**2 + 2*b - 1. Let z be (10/15)/(1/3). Let l(v) = z*i(v) + p(v). Factor l(k).
-k*(k - 5)
Let w(x) be the first derivative of 7*x**5/5 + 25*x**4/8 - 4*x**3 + 5*x**2 + 26. Let j(s) be the second derivative of w(s). Factor j(b).
3*(4*b - 1)*(7*b + 8)
Let n(b) = -b**2 + 407*b + 1174. Let v(x) = -2*x**2 + 399*x + 1173. Let g(c) = -3*n(c) + 4*v(c). Suppose g(d) = 0. What is d?
-3, 78
Solve 0 - 2/5*q**4 + 1/5*q**5 - 12/5*q**2 - 23/5*q**3 + 36/5*q = 0.
-3, -2, 0, 1, 6
Let b(d) be the second derivative of 4/5*d**2 + 1/75*d**6 + 4/15*d**3 - 1/10*d**4 - 1/25*d**5 + 0 + 21*d. Factor b(z).
2*(z - 2)**2*(z + 1)**2/5
Let t(d) be the second derivative of d**5/60 + 35*d**4/36 - 59*d**3/9 - 76*d**2/3 + 1683*d. Factor t(q).
(q - 4)*(q + 1)*(q + 38)/3
Suppose c - 6 + 27 = 4*l, 3*l = 4*c + 6. Let i(x) be the first derivative of 0*x - 32/7*x**c - 3 - 3/14*x**4 - 192/7*x**2. Factor i(z).
-6*z*(z + 8)**2/7
Suppose 2*u = 7*u - 10, 4*u = -v + 9. Let z be v/((-10)/(-36) - 12/(-54)). Factor -5*h + 4 + 0*h**2 - h**z + 3*h - 1.
-(h - 1)*(h + 3)
Suppose 2*p - 5*o - 15 = 0, 2*p = 4*p + o - 33. Factor 4*t + 2*t**4 - 5*t**2 - 16*t**2 + 8 + p*t**2 - 3*t**4 - 5*t**3.
-(t - 1)*(t + 2)**3
Let k(o) be the third derivative of -17/6*o**4 - 289/3*o**3 + 111*o + 0 - o**2 - 1/30*o**5. Factor k(d).
-2*(d + 17)**2
Suppose 2603*h - 3202 = -1400 + 4188 + 1819. Find s, given that 1/2*s**h - 4 - 15/2*s - 3*s**2 = 0.
-1, 8
Find l such that 53/2*l - 27 + 1/2*l**2 = 0.
-54, 1
Suppose 4*o + 3*a + 3 = -36, -a - 17 = 2*o. Let q be (0/(1 - o))/((-2)/(-1)). What is w in 4/3*w**3 + q + 16/3*w**2 + 0*w = 0?
-4, 0
Suppose -56*c + 38*c - 83*c = -1414. Let q(x) be the third derivative of -2*x**3 + c*x**2 + 1/30*x**6 - 5/6*x**4 + 0 + 0*x - 1/15*x**5. Solve q(o) = 0.
-1, 3
Let k(w) be the third derivative of 0*w + 0 - 1/10*w**6 + 9/4*w**3 + 11/20*w**5 + 1/140*w**7 - 3/2*w**4 - 12*w**2. Solve k(j) = 0.
1, 3
Let l(c) be the second derivative of c**5/50 - 7*c**4/120 - 49*c**2/2 - 35*c. Let f(i) be the first derivative of l(i)