*h**4 - r = 0 for h.
-2, -1, 1
Suppose -4*a - 208 = -12. Let g = a + 53. Solve 7*n**2 + 24 - 39*n**3 + 14*n**2 + 2*n**2 + 60*n + 9*n**5 - 5*n**2 - 12*n**g = 0 for n.
-1, -2/3, 2
What is i in -100395*i - 21*i**3 + 12890 + 2901*i**2 + 573 + 820 = 0?
1/7, 69
Let k(j) be the third derivative of -j**5/100 - 8*j**4/5 + 13*j**3/2 - 25*j**2 + 71*j. Determine w so that k(w) = 0.
-65, 1
Suppose 3*o - 83 + 74 = 0, 4*b - 6 = -2*o. Let p(i) be the second derivative of 0*i**2 - 2*i**3 + 11*i + i**4 + 9/20*i**5 + b. Determine v, given that p(v) = 0.
-2, 0, 2/3
Find u such that 32/5 + 12/5*u**4 - 144/5*u**2 + 168/5*u + 2/5*u**3 = 0.
-4, -1/6, 2
Let f(p) be the first derivative of 64 + 68/7*p**2 - 4/21*p**3 - 1156/7*p. Suppose f(a) = 0. What is a?
17
Let p(n) be the second derivative of 0 + 0*n**2 - 151*n + 3/2*n**6 + 5*n**5 + 5/3*n**3 + 65/12*n**4. Factor p(o).
5*o*(o + 1)**2*(9*o + 2)
Let q(f) = 2*f**3 + f**2 - f. Let w(o) = -5*o**4 + 10 + 0 - 38*o**2 + 33*o**2 + 45*o - 45*o**3. Let s(d) = -20*q(d) - w(d). Solve s(p) = 0 for p.
-1, 2
Let m = 256 - 310. Let a be m/72 + (-31)/(-36). Factor -a*t + 0*t**2 + 1/9*t**3 + 0.
t*(t - 1)*(t + 1)/9
Let -58/5*d**2 - 113/5*d - 56/5 - 1/5*d**3 = 0. What is d?
-56, -1
Suppose 0 = n - 5. Suppose 4*p + 4 = -4*u + 6*u, n*p - 2*u + 4 = 0. Factor 0 + p*x - 4/5*x**2 - 2/5*x**3.
-2*x**2*(x + 2)/5
Suppose 21*t - 26 = 8*t. Determine a so that -20*a**3 - 853 - 4*a**t + 853 - 4*a**2 - 12*a**4 = 0.
-1, -2/3, 0
Let q(w) be the third derivative of w**6/320 + 23*w**5/16 + 203*w**4 - 1682*w**3 - 474*w**2. What is i in q(i) = 0?
-116, 2
Factor 1/3*c**2 + 21*c - 340/3.
(c - 5)*(c + 68)/3
Let p(z) = 21*z**5 - 3*z**4 - 42*z**3 + 48*z**2 - 36*z + 60. Let d(g) = g**5 + g**4 - g**3 - g**2 - g + 5. Let i(s) = -12*d(s) + p(s). What is m in i(m) = 0?
-2, 0, 2/3, 1, 2
Let h(n) be the first derivative of -n**3/5 + 327*n**2/10 + 4950. Determine z, given that h(z) = 0.
0, 109
Solve -10*b**5 + 0 + 55815/4*b - 145775/4*b**3 + 94855/4*b**2 - 4855/4*b**4 = 0.
-61, -3/8, 0, 1
Let k = 1877 - 1319. Let i = k + -553. Factor 4/9*a**2 - 2/9*a - 2/9*a**i + 4/9*a**3 - 2/9*a**4 - 2/9.
-2*(a - 1)**2*(a + 1)**3/9
Let j(x) be the second derivative of x**6/120 - 11*x**5/80 - x**4/4 - 1326*x. Factor j(p).
p**2*(p - 12)*(p + 1)/4
Let o(p) be the second derivative of -3*p**5/80 + 3*p**4/4 - 6*p**3 + 24*p**2 + 1633*p. Suppose o(w) = 0. What is w?
4
Factor 82379*v**4 - 159*v**2 - 82383*v**4 + 104*v**3 - 33*v**2.
-4*v**2*(v - 24)*(v - 2)
Let d be 24*(0 + 16/(-17024)*-19). Factor 1/7*g - 1/7*g**3 + 0 - 3/7*g**2 + d*g**4.
g*(g - 1)*(g + 1)*(3*g - 1)/7
Let f(v) be the first derivative of -2*v**5/65 + 2*v**4/13 + 40*v**3/13 + 32*v**2/13 - 640*v/13 - 5129. What is n in f(n) = 0?
-4, 2, 10
Solve 596315 + 965*d + d**2 + 1271*d + 28647 + d**2 = 0 for d.
-559
Let i(p) = -3*p**2 + 100*p - 205. Suppose 0*h = 13*h - 39. Let c(f) = f**2 - 52*f + 103. Let t(v) = h*i(v) + 5*c(v). Determine g so that t(g) = 0.
5
Let l(g) be the first derivative of g**7/42 + g**6/12 + g**5/20 - 258*g - 146. Let i(q) be the first derivative of l(q). Factor i(u).
u**3*(u + 2)*(2*u + 1)/2
Let c(z) be the first derivative of 2*z**5/55 + 29*z**4/22 + 340*z**3/33 + 364*z**2/11 + 48*z + 14216. Let c(a) = 0. What is a?
-22, -3, -2
Let s = 9967 - 9965. Determine w, given that -2*w**4 - 2/5 + 2*w - 4*w**s + 2/5*w**5 + 4*w**3 = 0.
1
Let h(g) = -g**3 + 18*g**2 - 4*g - 4. Let f be ((-7)/2)/((-26)/(-52)). Let k(b) = -2*b**3 + 35*b**2 - 7*b - 7. Let j(i) = f*h(i) + 4*k(i). Factor j(m).
-m**2*(m - 14)
Let q be (11760/101920)/(3/100). What is l in -2/13*l**3 + 106/13*l - q*l**2 - 54/13 = 0?
-27, 1
Let m(j) = -6*j**3 - 8*j**2. Let x(t) = t**3 + t**2. Suppose 5*r - 49 = -2*h + 36, h - 5 = 0. Let d(c) = r*x(c) + 3*m(c). Factor d(y).
-3*y**2*(y + 3)
Let h(n) be the second derivative of -n**6/1620 - n**5/36 + 4*n**4/27 + 26*n**3/3 + n**2 - 59*n + 2. Let k(g) be the second derivative of h(g). Factor k(p).
-2*(p - 1)*(p + 16)/9
Let t be (75/33 - 2)*(-1397)/(-2286). Let -1/2*z**2 + t*z**3 + 1/3 + 1/6*z**4 - 1/6*z = 0. Calculate z.
-2, -1, 1
Let y(d) = 12*d**4 + 279*d**3 - 9*d**2 - 9*d - 9. Let g(s) = 3*s**4 + 73*s**3 - 2*s**2 - 2*s - 2. Let u(p) = -9*g(p) + 2*y(p). Suppose u(q) = 0. What is q?
-33, 0
Let o(f) be the second derivative of -3*f**5/80 + 107*f**4/48 - 7*f**3 - 17*f**2/2 - 325*f + 1. What is t in o(t) = 0?
-1/3, 2, 34
Suppose 0 = -3*j + 14 - 2. Suppose 2*s = 2*c - 4, 0 = -j*s + 4. Suppose 1/3*k**c - k - 2/3 + 0*k**2 = 0. Calculate k.
-1, 2
Let w(a) be the third derivative of -a**10/75600 - a**9/5040 + a**5/5 + a**3/3 - 2*a**2 + a. Let s(n) be the third derivative of w(n). Factor s(d).
-2*d**3*(d + 6)
Let l = -53 - -67. Suppose l*f + 70 = 7*f. Let g(a) = a**3 - a**2 - a. Let w(p) = 14*p**3 - 20*p**2 - 2*p - 2. Let n(c) = f*g(c) + w(c). Factor n(x).
2*(x - 1)**2*(2*x - 1)
Let l(p) be the third derivative of p**8/504 + 2*p**7/315 - 19*p**6/180 - 34*p**5/45 - 5*p**4/3 + 85*p**2 - p - 1. Let l(z) = 0. What is z?
-3, -2, 0, 5
Suppose 0 = -5*l - 10, -716 = -5*g - 3*l + 823. Let f = 309 - g. Factor 0 + 1/4*m**2 + f*m.
m**2/4
Suppose 16 + 164/7*z - 2/7*z**3 + 50/7*z**2 = 0. What is z?
-2, -1, 28
Suppose -3*i + 9574 = 2*g - 3462, -2*g + 4*i = -13022. Determine a, given that -6*a**4 - 471*a - 228*a**2 + 156*a + 6407 - 63*a**3 - g = 0.
-4, -3, -1/2
Let s(u) be the first derivative of 4*u**5/5 + 10*u**4 + 44*u**3 + 72*u**2 + 9077. Factor s(w).
4*w*(w + 3)**2*(w + 4)
Suppose -4*l + 261 = 3*g + 6, 128 = 2*l + 2*g. Let i be 4 + -4 - (-5 - l/45). Factor i*f - 14/5*f**3 - 8/5 - 2*f**2.
-2*(f - 1)*(f + 2)*(7*f - 2)/5
Suppose 5*m = -4*l + 98, -4*l + m + 1 + 109 = 0. Let y be -16 + 14 - (-78)/l. Suppose 4/9 + y*d**2 - 10/9*d - 2/9*d**3 = 0. What is d?
1, 2
Let t(f) = f**3 + 3*f**2 - f + 3. Let o be t(0). Factor 2*s + 0*s - 6*s**2 + 18*s**o - 32*s**3 + 18*s**3.
2*s*(s - 1)*(2*s - 1)
Let y(q) be the third derivative of 27*q**6/20 + 987*q**5/10 - 332*q**4/3 + 148*q**3/3 - 1381*q**2. Suppose y(x) = 0. Calculate x.
-37, 2/9
Let z be (-188)/(-198) - (-2)/2 - ((-6453)/(-297) + -22). Suppose 7/3 + z*x - 1/9*x**2 = 0. What is x?
-1, 21
Let v(r) be the second derivative of 25*r**7/42 + 59*r**6/6 + 181*r**5/5 - 89*r**4/3 - 280*r**3/3 - 64*r**2 + 445*r. Determine z, given that v(z) = 0.
-8, -4, -2/5, 1
Let g(a) be the third derivative of -10/3*a**3 + 0*a - 37/12*a**5 - 71*a**2 + 7/8*a**6 + 5*a**4 - 2/21*a**7 + 0. Determine x so that g(x) = 0.
1/4, 1, 2
Let k be 11940/375 + -32 + (-27632)/(-825). Solve 2/3*r**2 + 0 + k*r = 0.
-50, 0
Let y be (-3 + 7)*(-1)/(-2). Let f = 797 - 783. Determine p, given that -169*p**2 - 164*p**y + 331*p**2 - f*p = 0.
-7, 0
Let l = 290 - 288. Find j such that -5*j - 20 - j**l - 26 + 40 = 0.
-3, -2
Let a(l) = -6*l**2 + l - 1. Let u(f) = 14*f**2 - 152*f + 150. Let r(b) = -2*a(b) - u(b). Determine t, given that r(t) = 0.
1, 74
Let b(y) be the third derivative of y**6/420 + 251*y**5/70 + 63001*y**4/28 + 15813251*y**3/21 - 10*y**2 + 89. Factor b(v).
2*(v + 251)**3/7
Let b be ((-64)/(-16) + 8/3)*21. Let u be (-288)/56 + 5 - (-76)/b. Factor -u*l**4 - 128/5 + 8/5*l**3 + 24/5*l**2 - 64/5*l.
-2*(l - 4)**2*(l + 2)**2/5
Let h be (140/(-16))/7*6*20/(-75). Suppose 21/2*x**h + 1/2*x**4 - 9/2*x**3 - 19/2*x + 3 = 0. Calculate x.
1, 6
Let l(m) be the third derivative of 81*m**5/140 + 35*m**4/8 + 3*m**3/7 - 2*m**2 - 690*m. Find u such that l(u) = 0.
-3, -2/81
What is l in 7*l**3 - 806/3*l**2 - 505/3*l - 26 = 0?
-1/3, -2/7, 39
Suppose -5*n + 16*n - 22 = 0. Factor -10*z**3 + 55*z**n + 10*z - 7*z**4 - 60*z**2 + 12*z**4.
5*z*(z - 2)*(z - 1)*(z + 1)
Factor 10*p**2 - 16*p - 105*p**4 + 1160*p**3 - 183*p**2 - 483*p**4 - 377*p**2 - 6*p**2.
-4*p*(p - 1)**2*(147*p + 4)
Let g(y) = 3*y**2 + 21*y - 54. Let p be 52/(-6) - (70/(-6) - -12). Let i be g(p). Find w, given that -4/5*w - 38/15*w**2 + 68/15*w**3 + i - 6/5*w**4 = 0.
-2/9, 0, 1, 3
Let u(t) = -344*t + 387 - 315*t + 1003*t - 309*t. Let x be u(-11). Factor 2/3*g**3 - 4/3*g + 0 - 2/3*g**x.
2*g*(g - 2)*(g + 1)/3
Let g be (-10)/4*(-4)/6. Suppose 3*v + 9 = 0, -119*h + 3*v + 19 = -114*h. Factor h*n + g + 1/3*n**2.
(n + 1)*(n + 5)/3
Let h(a) = 2*a**4 + 2*a**2 - 1. Let c(j) = 55*j**4 + 160*j**3 - 675*j**2 - 4140*j + 2685. Let g(z) = -c(z) + 15*h(z). Determine p, given that g(p) = 0.
-6, 3/5, 5
Let y(r) be the 