+ 1)**2*(v + 2)**2/3
Let f(a) be the second derivative of -a**5/45 - a**4/9 + 35*a**2 + 25*a - 1. Let v(n) be the first derivative of f(n). Find m such that v(m) = 0.
-2, 0
Let b be (-1298)/(-1155) + (-27)/84*(-72)/(-27). Let k(g) be the first derivative of 1/5*g**4 - 15 + 4/5*g - b*g**3 - 2/5*g**2. Suppose k(h) = 0. Calculate h.
-1, 1
Let x(r) be the first derivative of -1/2*r**4 + r**2 + 86 - 14/3*r**3 + 14*r. Factor x(l).
-2*(l - 1)*(l + 1)*(l + 7)
Suppose 60767*o + 2400 = 61247*o. Find i, given that -4/3*i**4 + 4/9*i**3 + 4/9*i**o - 8/9*i + 0 + 4/3*i**2 = 0.
-1, 0, 1, 2
Let h(q) = 5*q**3 - 6*q**2 - 2*q. Let m(y) = -27*y**3 - 471*y**2 + 2973*y - 4401. Let u(l) = -6*h(l) - m(l). Factor u(r).
-3*(r - 163)*(r - 3)**2
Find k such that 3/2*k**2 - 513 + 87/2*k = 0.
-38, 9
Let q = -189665/3784 - -401/8. Let p = 476/1419 - q. Find o such that -p*o**2 - 1/9*o**3 + 4/9 + 0*o = 0.
-2, 1
Let f(g) = g**3 + 5*g**2 - g + 1. Let s(w) = 6*w**3 + 66*w**2 - 6*w - 42. Let z(m) = 4*f(m) - s(m). Factor z(i).
-2*(i - 1)*(i + 1)*(i + 23)
Let 74/3*g + 228 + 2/3*g**2 = 0. What is g?
-19, -18
Let k(a) = -185*a**2 - 204575*a - 174421500. Let j(q) = 15*q**2 + 17048*q + 14535125. Let h(l) = 25*j(l) + 2*k(l). Suppose h(u) = 0. What is u?
-1705
Let l be 6/9*(7 + (-258)/(-12)). Factor -33*o**3 - 65*o**3 + 31*o**2 - l*o**2 + 100*o**2 - 32*o.
-2*o*(7*o - 4)**2
Factor -2/9*o**3 - 4000/9 + 1550/9*o - 140/9*o**2.
-2*(o - 5)**2*(o + 80)/9
Let p = 3075 + -3070. Suppose 5 = k - 0*i + i, -2*k + 10 = i. Determine x, given that -49*x**k + 2*x**4 + 0*x - 2*x**2 + 48*x**p + x = 0.
-1, 0, 1
Let v(l) be the first derivative of 80*l + 125 - 5/4*l**4 - 35/3*l**3 - 20*l**2. Factor v(k).
-5*(k - 1)*(k + 4)**2
Let g = 84 - 82. Factor -8*o**3 + 18*o**3 - 3*o + o**g + 5*o**4 - 6*o**2 - 7*o.
5*o*(o - 1)*(o + 1)*(o + 2)
Let h(g) be the second derivative of -g**4/22 + 64*g**3/11 - 189*g**2/11 + g + 289. Factor h(d).
-6*(d - 63)*(d - 1)/11
Let k(q) be the third derivative of q**6/30 + q**3/6 - 28*q**2. Let n be k(2). Factor -n + 32*f + 2*f**2 - 15*f**2 + 9 - f**2 + 2*f**3.
2*(f - 3)*(f - 2)**2
What is t in -4*t**2 - 24/7*t**3 + 20/7*t**4 + 18/7*t + 8/7 + 6/7*t**5 = 0?
-4, -1, -1/3, 1
Let p(z) be the second derivative of z**7/147 - 11*z**6/105 + 37*z**5/70 - 15*z**4/14 + 6*z**3/7 + 1114*z. Solve p(d) = 0.
0, 1, 3, 6
Let f be 14/5 - (3 + (-64)/20). Factor -30*v**4 + 6*v**f + 3*v**3 - 9*v**2 + 27*v**4 + 7*v - 4*v.
-3*v*(v - 1)**3
Let q(l) = 8*l**5 - 192*l**4 - 378*l**3 + 38*l + 19. Let v(p) = p**5 - 21*p**4 - 42*p**3 + 4*p + 2. Let z(x) = 2*q(x) - 19*v(x). Determine w so that z(w) = 0.
-2, 0, 7
Suppose 3*m**3 + 205*m**5 + 25*m - 172*m**2 + 47*m + 76*m**4 + 14*m**3 - 197*m**5 - m**3 = 0. Calculate m.
-9, -2, 0, 1/2, 1
Let q(j) be the third derivative of 3*j**6/20 - 233*j**5/15 - 26*j**4/3 + j**2 + 4*j + 74. Suppose q(s) = 0. What is s?
-2/9, 0, 52
Let t be (-410)/(-123)*(-3 + (-333)/(-105)). Factor -4/7 + 2/7*c**3 - 2/7*c + t*c**2.
2*(c - 1)*(c + 1)*(c + 2)/7
Let c(j) = 3*j**3 + 117*j**2 + 345*j + 231. Let g(a) = 2*a**3 + 59*a**2 + 172*a + 115. Let x(f) = -3*c(f) + 5*g(f). Find n such that x(n) = 0.
-2, -1, 59
Let v be (-53443)/(-780) + (-3 - (-20)/6). Let o = 285/4 - v. Factor -2 + o*h - 2/5*h**2.
-2*(h - 5)*(h - 1)/5
Let f(r) = 103297*r + 103300. Let g be f(-1). Determine s so that -5/3*s**g + 2 + 1/3*s**4 - 7/3*s**2 + 5/3*s = 0.
-1, 1, 6
Let s(r) = -69*r**2 - 355*r. Let k(j) = -38*j**2 - 178*j. Let x(d) = 11*k(d) - 6*s(d). Factor x(v).
-4*v*(v - 43)
Suppose -1/5*m**2 + 1372/5 - 1371/5*m = 0. What is m?
-1372, 1
Let t(w) = -w. Let g be t(-1). Let l(k) = 3*k**4 - 7*k**3 - k**2 + 6*k - 3. Let m(a) = -53 + 9 - a**2 + 44 - a**3. Let v(i) = g*l(i) - m(i). Factor v(d).
3*(d - 1)**3*(d + 1)
Let a(k) = 7*k - 3. Let d be a(10). Find j such that -d*j - 23 + 5*j**3 + 10*j**3 + 83 - 2*j**2 - 48*j - 5*j**4 + 47*j**2 = 0.
-3, 1, 4
Let n(u) be the first derivative of -87 + 0*u + 49/9*u**3 - 1/36*u**6 + 0*u**2 - 2/5*u**5 - 7/8*u**4. Find x such that n(x) = 0.
-7, 0, 2
Let o(u) = -4*u**3 + 19*u**2 - 195*u + 140. Let b(z) = -z**3 - z**2 - 4*z - 2. Let f(x) = 15*b(x) - 3*o(x). Let f(s) = 0. What is s?
-30, 1, 5
Let q(o) be the first derivative of o**5/30 - 4*o**4/3 - 17*o**3/3 - 147*o**2/2 + 82. Let g(w) be the second derivative of q(w). Factor g(b).
2*(b - 17)*(b + 1)
Let a(w) be the third derivative of -25/112*w**8 + 2*w**3 - 15/14*w**7 + 3/2*w**4 + 0 - 13/20*w**5 - 71/40*w**6 + 0*w - 52*w**2. Suppose a(x) = 0. What is x?
-1, -2/5, 2/5
Let h(a) = 6*a**3 + a**2 - 6*a - 1. Let s(t) be the first derivative of t**4 - 17 - 2*t**2 - t + 1/3*t**3. Let r(p) = 5*h(p) - 7*s(p). Factor r(i).
2*(i - 1)**2*(i + 1)
Let q = 1296 - 25897/20. Let o(r) be the first derivative of 12 - 1/4*r**2 - q*r**5 + 0*r - 27/16*r**4 - 13/12*r**3 - 7/24*r**6. Factor o(v).
-v*(v + 1)**3*(7*v + 2)/4
Let -11/5 - 3/10*u**3 + 27/10*u - 1/5*u**2 = 0. What is u?
-11/3, 1, 2
Let c = 877266/7 - 125322. Factor 0*h + c*h**2 + 2/7*h**4 + 0 - 10/7*h**3.
2*h**2*(h - 3)*(h - 2)/7
Let k be 34/255 + 56/30. Factor -8*b**4 + k*b**5 - b**4 - 4*b**4 + 8*b**3 - 3*b**4 + 24*b**3.
2*b**3*(b - 4)**2
Let j(s) be the second derivative of -s**4/32 - 63*s**3/16 + 735*s**2/8 + 900*s. What is u in j(u) = 0?
-70, 7
Suppose 6*y - 547 = 65. Let o = y + -100. Factor 7*n**4 + 10 - 4*n**o - 3*n**4 - 10.
4*n**2*(n - 1)*(n + 1)
Let c be 5909/57 - 4/6. Let j be (c - -5)/6*(-4)/(-6). Factor 10*k**4 - 4*k - 12*k**2 - j*k**3 - 22*k**4 + 8*k**4.
-4*k*(k + 1)**3
Factor -859*m**2 - 785*m**2 - 1147*m**3 + 3*m**4 - 1656*m + 1470*m**3 - 725*m**3.
3*m*(m - 138)*(m + 2)**2
Solve 14/5*a**2 - 2/5*a**3 - 6/5*a**4 + 2/5*a**5 + 0*a - 8/5 = 0 for a.
-1, 1, 2
Suppose 3*y**3 - 86374 + 17062 + 8252*y + 444*y**2 + 7252*y = 0. What is y?
-76, 4
Factor 2999*x**2 - 38*x + 3011*x**2 - 6011*x**2 - 352.
-(x + 16)*(x + 22)
Suppose -78*l + 80*l = -x + 3, -4*x = 3*l - 12. Suppose 2/3 + 4/9*k**2 - 10/9*k**4 + 14/9*k - 4/3*k**x - 2/9*k**5 = 0. What is k?
-3, -1, 1
Suppose -2/11*v**4 + 0 + 108/11*v + 0*v**3 + 54/11*v**2 = 0. Calculate v.
-3, 0, 6
Let k = 31093151/30765 + 3/10255. Let d = 1011 - k. Factor -d*g - 2/3 + 1/3*g**2.
(g - 2)*(g + 1)/3
Suppose 0 = -30*t + 9302 + 6538. Let x = 531 - t. Determine j, given that -2/3 + x*j**3 + 5/3*j + 16/3*j**2 = 0.
-1, 2/9
Let i(m) be the first derivative of -23*m**3 + 72*m**2 - 12*m + 1162. Let i(a) = 0. Calculate a.
2/23, 2
Suppose -160 + 152 = 4*d. Let t(p) = 10*p**2 + 17*p + 55. Let u(i) = 3*i**2 + 6*i + 18. Let o(v) = d*t(v) + 7*u(v). What is j in o(j) = 0?
-4
Suppose 5*q - 3*q = 3*q. Suppose 3*m - s - 14 = -q*s, 22 = 3*m - 5*s. Let 10 - 35*x + 40*x**2 - x**4 + 34*x**5 - 10*x**3 - 29*x**5 - 9*x**m = 0. Calculate x.
-2, 1
Let x(m) be the second derivative of m**7/28 + 11*m**6/60 - 29*m**5/120 - 97*m**4/72 + 10*m**3/3 - 3*m**2 - 3021*m. Solve x(h) = 0.
-3, 2/3, 1
Let z(y) = 9*y + 140. Let p be z(-16). Let f be (-11)/((-77)/28) + p. Solve -3/5*g**4 + 9/5*g**3 + 0*g + 0*g**2 + f = 0.
0, 3
Solve 0 - 1/5*n**3 - 132/5*n + 23/5*n**2 = 0.
0, 11, 12
Let w(h) be the first derivative of -1/33*h**3 + 0*h - 15/22*h**2 + 124. Solve w(a) = 0.
-15, 0
Suppose -1100*f = -251*f - 3396. Determine u, given that -5*u - 4*u**2 - 3/4*u**5 + 29/4*u**3 + 0 + 5/2*u**f = 0.
-2, -2/3, 0, 1, 5
Let b be 1/(-2) - 1/(3 + -1). Let x be 481/273 - b*(-3)/9. Factor -2/7*c**3 - 8/7*c**2 - x*c - 4/7.
-2*(c + 1)**2*(c + 2)/7
Let u(o) be the second derivative of -2 - o**3 - 3/20*o**5 + 14*o + 0*o**2 - 3/4*o**4. Determine h so that u(h) = 0.
-2, -1, 0
Let y(x) be the third derivative of 0 + 0*x - 20/3*x**3 - 3/4*x**4 - 88*x**2 - 1/30*x**5. Suppose y(h) = 0. What is h?
-5, -4
Let w(g) = g**2 - g - 6. Let a be w(7). Let n = -20 + a. Solve 1 + 13*b**2 - n*b**2 - 3*b - 1 + 3*b**4 + 3*b**3 = 0.
-1, 0, 1
Factor -459/2*p + 210681/4 + 1/4*p**2.
(p - 459)**2/4
Suppose 24 = -50*f + 54*f. Let -20 + f - 21*m - 5 + m**2 - 3 = 0. Calculate m.
-1, 22
Let x be ((-4)/(-6))/((-192)/3828). Let i = 117/8 + x. Determine a, given that 0 - 4/3*a + i*a**2 = 0.
0, 1
Suppose -20 = -16*z + 60. Let l(g) = g**2 - 476*g - 11042. Let o(x) = 950*x + 22085. Let b(n) = z*l(n) + 3*o(n). Factor b(m).
5*(m + 47)**2
Solve 0*m**3 - 172*m**2 - 170 - 1024/3*m + 2/3*m**4 = 0 for m.
-15, -1, 17
Suppose 4*i + 28 = 0, -5*v - 6*i = -11*i - 45. Factor -1/3*o