u + 44*u - 21 - 85*u**2 + 5*u + 11 = 0. What is u?
2/17, 1
Let f be (3/9)/((-1)/(-9)). Let 25 + 60*l - f - 1 + 4*l**3 + 28*l**2 + 15 = 0. What is l?
-3, -1
Let t(m) = -21*m**2 + m - 3. Let i(k) = 102*k**2 - 4*k + 14. Let z(g) = -6*i(g) - 28*t(g). Find j, given that z(j) = 0.
-1/6, 0
Determine v, given that 21/4 + 3/4*v**2 + 6*v = 0.
-7, -1
Factor 0 + 3/2*b**4 + 75/2*b + 105/2*b**2 + 33/2*b**3.
3*b*(b + 1)*(b + 5)**2/2
Let m(n) be the second derivative of -n**8/33600 - n**7/6300 - n**6/3600 - n**4/12 + 7*n. Let c(q) be the third derivative of m(q). Factor c(z).
-z*(z + 1)**2/5
Let d be 2904*(185/100 - 2). Let b = 437 + d. Solve 12/5*l**2 - 12/5*l**4 + 4/5*l + 0 + b*l**5 - 11/5*l**3 = 0 for l.
-1, -2/7, 0, 1, 2
Let u = 35719 + -250031/7. Let 4/7*s**2 + u*s**3 - 2/7*s - 4/7 = 0. What is s?
-2, -1, 1
Let m(b) = b**4 + b**2 + b + 1. Let t(f) = 2*f**5 + 9*f**4 + 17*f**3 - 24*f**2 - 32*f + 12. Let d(q) = -4*m(q) - t(q). Let d(l) = 0. Calculate l.
-4, -2, 1/2, 1
Determine x, given that -29*x**2 - 34 - 30 - 6 + 9*x**2 + 158*x + 127*x = 0.
1/4, 14
Let j be 18 + -1 + (-375)/25. Solve -3/2*t**3 + 0 + 0*t + 3/2*t**j = 0 for t.
0, 1
Suppose -k + 4*i - 153 = -155, -2 = -k + 3*i. Find s, given that 4/5 + 8/5*s**k + 2*s + 2/5*s**3 = 0.
-2, -1
Let h(t) be the first derivative of 2*t**3/3 - t**2 - 4*t - 22. Find g, given that h(g) = 0.
-1, 2
Let x(i) be the second derivative of -1/42*i**4 + 0 - 14*i + 4/7*i**2 + 1/7*i**3. Find j, given that x(j) = 0.
-1, 4
Let t**4 + t + 11/4*t**3 - 3/4*t**5 + 0 - 4*t**2 = 0. What is t?
-2, 0, 1/3, 1, 2
Let m = -49423 - -5832085/118. Let l = m - -3/59. Let -k - 1/4 - l*k**2 - 1/4*k**4 - k**3 = 0. Calculate k.
-1
Let u(f) be the second derivative of -1/5*f**3 + 0 - 1/30*f**4 + 6*f + 4/5*f**2. Find k, given that u(k) = 0.
-4, 1
Suppose 0 = 15*n + 1731 - 1776. What is c in -35/6*c**5 + 0*c + 0 + 5/3*c**2 - 5/3*c**4 + 35/6*c**n = 0?
-1, -2/7, 0, 1
Let c(k) be the first derivative of -11*k**4/10 + 58*k**3/5 - 69*k**2/5 - 14*k/5 - 656. Suppose c(i) = 0. What is i?
-1/11, 1, 7
Let f(n) be the third derivative of -7*n**2 - 1/160*n**6 + 0*n**3 - 1/840*n**7 + 0*n - 1/80*n**5 + 0 - 1/96*n**4. Factor f(p).
-p*(p + 1)**3/4
Let b = -1034/7 - -148. Suppose 151*x = 144*x. Factor x*m + b*m**5 - 2/7*m**3 + 2/7*m**2 + 0 - 2/7*m**4.
2*m**2*(m - 1)**2*(m + 1)/7
Let r be 11 + (10 - 17) + (-52)/14. Factor r*v**3 - 10/7*v**2 - 8/7 + 16/7*v.
2*(v - 2)**2*(v - 1)/7
Let a be (7 - 2)*-1*(-9 - (-903)/105). Factor -4/13*r + 2/13*r**3 + 2/13*r**a + 0.
2*r*(r - 1)*(r + 2)/13
Let l(b) be the first derivative of -b**3/30 + 13*b**2/20 + 24*b/5 - 444. Factor l(p).
-(p - 16)*(p + 3)/10
Let i(o) = -3*o**2 + 15*o - 7. Let k be (-132)/(-28) + 2/7. Let s(c) = -5*c**2 + 23*c - 10. Let m(h) = k*s(h) - 8*i(h). Factor m(l).
-(l - 1)*(l + 6)
Let c(m) be the second derivative of -3*m**5/140 - 9*m**4/28 - 10*m**3/7 + 162*m. Determine q, given that c(q) = 0.
-5, -4, 0
Let c(r) be the third derivative of -11*r**6/360 - r**5/10 - r**4/24 + 2*r**3/9 + 8*r**2 - 5*r. Suppose c(q) = 0. Calculate q.
-1, 4/11
Let w(q) be the first derivative of q**8/5880 - q**7/735 + q**6/420 - 7*q**3/3 - 12. Let u(a) be the third derivative of w(a). Determine g so that u(g) = 0.
0, 1, 3
Determine j, given that 8/3*j - 32/9 + 0*j**2 - 2/9*j**3 = 0.
-4, 2
Factor -1/9*f**3 + 4/9*f**2 + 0 - 1/9*f**4 + 4/9*f.
-f*(f - 2)*(f + 1)*(f + 2)/9
Let q(w) = 5*w**3 + 55*w**2 - 84*w - 127. Let b(k) = -3*k**3 - 37*k**2 + 56*k + 85. Let a(n) = 7*b(n) + 5*q(n). Factor a(f).
4*(f - 2)*(f + 1)*(f + 5)
Let b(y) be the second derivative of y**6/135 + y**5/18 - y**4/3 - 128*y**3/27 - 160*y**2/9 + 519*y. Factor b(h).
2*(h - 5)*(h + 2)*(h + 4)**2/9
Factor 0 - 8/3*f**2 + 0*f - 68/3*f**3.
-4*f**2*(17*f + 2)/3
Let c(o) = -9*o**3 - 13*o**2 - 11*o - 7. Let p(u) = 16*u**3 + 25*u**2 + 23*u + 14. Let y(f) = -7*c(f) - 4*p(f). Factor y(r).
-(r + 1)**2*(r + 7)
Let d(c) = 9*c**3 + 31*c**2 - 22*c - 18. Let f(b) = 6*b**3 + 21*b**2 - 15*b - 12. Let y = 40 - 33. Let q(w) = y*f(w) - 5*d(w). Factor q(t).
-(t - 1)*(t + 3)*(3*t + 2)
Let u be 11/(-4) - 1/4. Let c = u + 5. Factor 2*h**5 - 5*h**5 + 29*h + 3 + 6*h**c - 6*h**3 - 20*h - 9*h**4.
-3*(h - 1)*(h + 1)**4
Let l be 6/(-1)*(-20 - -19)/(27/57). Suppose 16/3*b**2 + 0 + l*b**4 - 8/3*b + 18*b**3 + 8/3*b**5 = 0. Calculate b.
-2, -1, 0, 1/4
Let i be 6/4*(5 - -1). Let g = -54 - -58. Factor -i*h**2 + 3*h - 20*h**4 - 14*h**3 - 9*h**2 + 8*h**g + 41*h**3.
-3*h*(h - 1)**2*(4*h - 1)
Suppose 0 = -2*i + l - 23, -3*l - 43 = -3*i + 5*i. Let o be (-135)/(-35) - 2/i. Factor k**2 - 4 + 1 - o + 5 + k.
(k - 1)*(k + 2)
Let g be (6 + 4)*2/(-5). Let a be (1 + g)/(13/(-26)). Let -a*f**3 - 4 + 11*f**2 - 3*f**2 - 10*f + 12*f = 0. What is f?
-2/3, 1
Let k = 298 - 1079. Let h = 1401 + k. Factor -3*f**3 + h*f**2 - 4 - 4*f + 12*f - 621*f**2.
-(f - 1)*(f + 2)*(3*f - 2)
Suppose -39 = -33*c + 20*c. Let i(u) be the second derivative of -4/27*u**4 + 0 + 8*u + 2/9*u**2 + 1/27*u**c + 1/18*u**5. Suppose i(a) = 0. What is a?
-2/5, 1
Let p(j) be the third derivative of -j**5/15 - 2*j**4/3 + 8*j**3 - 21*j**2. Find g such that p(g) = 0.
-6, 2
Suppose -3*s + 213 = u, -s = -102*u + 105*u - 63. Let s*z - 98/3*z**3 - 112*z**2 - 32/3 = 0. What is z?
-4, 2/7
Let f(x) be the second derivative of -x**6/105 + x**5/10 + 2*x**4/7 - 4*x**3/3 - 32*x**2/7 - 364*x. What is a in f(a) = 0?
-2, -1, 2, 8
Let l(q) be the third derivative of -q**10/100800 - q**9/40320 + 4*q**5/15 + 17*q**2. Let s(x) be the third derivative of l(x). Factor s(a).
-3*a**3*(a + 1)/2
Let c be (-2)/7 + (-171)/63. Let u be 3 + (c - 2/(-3)). Let -2/3*l**2 + u + 0*l = 0. Calculate l.
-1, 1
Suppose -24*k + 25*k - 65 = 0. Suppose -k*h**2 + 37*h**2 + 43*h**2 - 25*h**5 - 55*h**3 + 65*h**4 = 0. Calculate h.
0, 3/5, 1
Suppose 1 - 34 = -11*k. Determine b so that 6*b**2 + 4*b**4 + 30*b**k - 2*b**2 - 24*b + 5*b**4 + 8*b**2 = 0.
-2, 0, 2/3
Suppose -41 + 163 = 2*m. Let s = 61 - m. Determine z so that 0 - 2/3*z + s*z**2 - 2/3*z**5 + 4/3*z**3 + 0*z**4 = 0.
-1, 0, 1
Let g = -69 - 16. Let h be g/(-225) - (-3)/((-81)/(-6)). Factor h*y**2 + 1/5*y + 0 + 3/5*y**3 + 1/5*y**4.
y*(y + 1)**3/5
Let x(q) be the second derivative of -q**5/20 - 2*q**4 + 25*q**3/6 + 12*q - 10. Determine h, given that x(h) = 0.
-25, 0, 1
Suppose -3*u = 40*t - 42*t + 2, u - 2*t = -2. Factor 0 + u*a + 9/2*a**2 - 3/2*a**3.
-3*a**2*(a - 3)/2
Let a be 2/(16/6) - 35397/92. Let p = a + 2694/7. Factor p*f**2 - 2/7*f**3 - 6/7*f + 2/7.
-2*(f - 1)**3/7
Factor -12*p - 112 - 45*p**2 + 18*p**2 + 14*p**2 + 17*p**2.
4*(p - 7)*(p + 4)
Let a = 4823 + -4796. Factor 1/3*b**2 + a + 6*b.
(b + 9)**2/3
Factor -2/15*s**3 + 4/5*s**2 + 0 - 2/3*s.
-2*s*(s - 5)*(s - 1)/15
Let i(o) be the third derivative of -o**8/33600 + o**7/8400 - 17*o**5/60 + 12*o**2. Let u(j) be the third derivative of i(j). Factor u(x).
-3*x*(x - 1)/5
Let u = 211 + -93. Let x = 121 - u. Let 1/5*w - 1/5*w**x - 2/5*w**2 + 2/5 = 0. Calculate w.
-2, -1, 1
Let n = -6172/9 + 686. Suppose 4/9*i**2 + 0 - n*i**3 - 2/9*i**4 + 0*i = 0. Calculate i.
-2, 0, 1
Factor -2/3*j**4 + 0*j + 0 - 2/3*j**3 - 2/9*j**5 - 2/9*j**2.
-2*j**2*(j + 1)**3/9
Let v(w) be the third derivative of w**6/1020 + w**5/102 + 7*w**4/204 + w**3/17 - 23*w**2. Determine q, given that v(q) = 0.
-3, -1
Let t(h) = -h**2 + 7*h + 8. Let f(w) = -w - 1. Suppose -2 = -2*v + v - a, 3*v + 34 = 5*a. Let z be 6/((-1)/8*2). Let m(y) = v*t(y) + z*f(y). Factor m(n).
3*n*(n + 1)
Let f(k) = 7*k**2 + 753*k + 3. Let c(h) = 76*h**2 + 8276*h + 32. Let b(v) = -3*c(v) + 32*f(v). Find o, given that b(o) = 0.
-183, 0
Let l = -389 - -146. Let p be (l/(-312) - 6/39)*2. Find i such that 0 + i + p*i**3 + 2*i**2 + 1/4*i**4 = 0.
-2, -1, 0
Let c(s) be the first derivative of -2*s**3/39 + 8*s**2 - 416*s - 73. Factor c(l).
-2*(l - 52)**2/13
Let l = -335/3 + 112. Let n(r) be the second derivative of -1/3*r**4 - l*r**3 + 9*r + 0 + 2*r**2 + 1/10*r**5. Factor n(t).
2*(t - 2)*(t - 1)*(t + 1)
Let x(k) be the first derivative of -k**6/9 - 44*k**5/5 - 757*k**4/3 - 2968*k**3 - 10143*k**2 - 12348*k - 492. Find b such that x(b) = 0.
-21, -2, -1
Let b(r) be the second derivative of 0 + 0*r**2 - 1/48*r**4 + 1/24*r**3 - 3*r. Factor b(y).
-y*(y - 1)/4
Let w(v) be the second derivative of 7*v**6/180 - v**5/10 + v**4/24 + v**3/18 - 246*v. Let w(c) = 0. What is c?
-2/7, 0, 