 Let t(c) = 5*a(c) - 3*d(c). Suppose t(w) = 0. Calculate w.
-30, 0
What is i in -54 + 6*i**2 + 3*i**5 - 36*i**3 + 10853*i**4 + 81*i - 10853*i**4 = 0?
-3, -2, 1, 3
Let t = -53 + 57. Find k such that -6*k**t - 3*k**2 + 4*k + 9*k**4 - 4*k = 0.
-1, 0, 1
Let i(n) = -7*n**2 + 6*n - 9. Let w(o) be the second derivative of o**4/4 - o**3/2 + 2*o**2 - 6*o. Let c(q) = 2*i(q) + 5*w(q). Factor c(j).
(j - 2)*(j - 1)
Let l = -2454 + 2456. Factor -14/3*v**4 - 26/3*v**3 - 11/3*v - 8*v**l - 2/3 - v**5.
-(v + 1)**4*(3*v + 2)/3
Let k(a) be the third derivative of -a**8/1512 - 2*a**7/315 - a**6/45 - a**5/27 - a**4/36 + 72*a**2. Solve k(d) = 0.
-3, -1, 0
Let s = 2 - -1. Let q be 2/(16/22) - 46/(-184). Determine r, given that 6*r**3 + 2*r - 5*r + 4*r**2 + s*r**4 + 3 - q*r**5 - 10*r**2 = 0.
-1, 1
Let f(o) be the third derivative of 8*o**2 - 1/2*o**3 + 3/8*o**4 + 0 - 3/20*o**5 + 0*o + 1/40*o**6. Determine g, given that f(g) = 0.
1
Let x(t) = t**4 + 1. Let p(l) be the second derivative of -2*l**6/15 + 3*l**5/10 - l**4/3 - l**2 + 16*l. Let u(q) = -p(q) - 2*x(q). Solve u(g) = 0 for g.
0, 1, 2
Let s = 39138 + -352226/9. What is t in -s - 4/9*t + 2/9*t**2 = 0?
-2, 4
Suppose -39/5*l**2 + 76/5 - 36/5*l - 1/5*l**3 = 0. What is l?
-38, -2, 1
Let o be (-676)/104 - 1/(-2) - -12. Solve 15/2*q + 3 - o*q**4 - 6*q**3 - 3/2*q**5 + 3*q**2 = 0.
-2, -1, 1
Let p(v) be the second derivative of -3/10*v**5 - 10*v + 0 + 0*v**3 + 0*v**2 - 4/5*v**6 - 1/3*v**7 + 1/3*v**4. Factor p(z).
-2*z**2*(z + 1)**2*(7*z - 2)
Suppose 18 = 3*d - 6. Let l = 9 - d. Let -14*q + 14*q**3 - 5 - 6*q**2 - l + 10*q**4 - 1 + 3 = 0. What is q?
-1, -2/5, 1
Let q(k) be the third derivative of k**6/600 + k**5/300 + 357*k**2. Factor q(b).
b**2*(b + 1)/5
Factor 1/2*k**4 + 481/2*k**2 - 552*k + 23*k**3 + 288.
(k - 1)**2*(k + 24)**2/2
Let s(c) be the first derivative of 3/25*c**5 + 0*c + 12 - 3/20*c**4 + 3/10*c**2 - 1/5*c**3. Solve s(r) = 0.
-1, 0, 1
Let m(k) be the second derivative of k**7/15120 - k**6/2160 - k**5/240 - 5*k**4/6 - 7*k. Let t(v) be the third derivative of m(v). Let t(f) = 0. What is f?
-1, 3
Factor -43*f + 27*f**2 + 59*f - 100 - 22*f**2 + 79*f.
5*(f - 1)*(f + 20)
Let g(r) = -6*r**3 - 2*r**2 - 2. Let p(u) be the first derivative of 9*u**4/2 + 5*u**3/3 + 7*u + 14. Let s(w) = -14*g(w) - 4*p(w). Factor s(q).
4*q**2*(3*q + 2)
Let y(p) = -7*p**4 + 24*p**3 - 20*p**2 + 6*p + 5. Let b(s) = 2*s**3 - s**2 + s + 2. Let t(i) = 2*b(i) - y(i). Solve t(f) = 0.
-1/7, 1
Let l be (4 - 2) + 6/2. Suppose l*j = -0*j + 5*f - 10, 4*f - 16 = 0. Factor -4/7*t - 2*t**j + 0.
-2*t*(7*t + 2)/7
Solve 4/3*u**2 - 32/3*u + 16 = 0 for u.
2, 6
Let w(r) be the third derivative of -r**8/1680 + 2*r**7/525 - r**6/150 - 62*r**2. Determine o, given that w(o) = 0.
0, 2
Let i(x) be the first derivative of -7/10*x**3 - 9 + 3/25*x**5 - 3*x - 1/4*x**4 + 3/5*x**2. Let c(w) be the first derivative of i(w). Factor c(p).
3*(p - 2)*(p + 1)*(4*p - 1)/5
Let b(r) be the third derivative of 2/315*r**7 + 0 + 0*r**3 + 0*r**4 - 2/45*r**5 + 6*r**2 + 0*r - 1/90*r**6. Factor b(f).
4*f**2*(f - 2)*(f + 1)/3
Let r be (-16)/3*(-27)/(-18). Let c be (r - -2) + 160/25. Factor -2/15*n**2 - c + 8/15*n.
-2*(n - 3)*(n - 1)/15
Let h(s) be the first derivative of -2*s**4 - 44*s**3/3 - 18*s**2 - 53. Determine i so that h(i) = 0.
-9/2, -1, 0
Let k be (-1*(-16)/(-14))/(22/(-77)). Solve k*a**2 - 6*a**2 - 2*a**3 + 4*a**2 - 2 + 2*a = 0 for a.
-1, 1
Let r be 4/((-16)/12) - -6. Let v(t) be the first derivative of -49/30*t**5 + 1/3*t**2 + 7/8*t**4 + 4/3*t**r - 8 + 0*t. Factor v(w).
-w*(w - 1)*(7*w + 2)**2/6
Suppose -7 - 5 = 2*h. Let m be ((-33)/h)/1 - 5. Factor -1/3 + 2/3*y**2 + m*y**3 - 1/6*y.
(y + 1)**2*(3*y - 2)/6
Let l = 8100 - 202498/25. Factor 2/25*m**2 - 12/25 - l*m.
2*(m - 3)*(m + 2)/25
Let y(n) = n**2 - 6*n - 8. Let z be y(6). Let x(p) = -p**3 - 9*p**2 - 9*p - 8. Let q be x(z). Factor c**3 - c**4 + q*c**3 + 2*c - 2*c.
-c**3*(c - 1)
Let i(z) be the first derivative of z**5/10 + 3*z**4/2 + 19*z**3/3 + 3*z**2 - 63*z/2 - 39. Factor i(v).
(v - 1)*(v + 3)**2*(v + 7)/2
Solve -5/6*k**4 + 1/3*k**2 - 2/3*k**5 + 7/6*k**3 + 0*k + 0 = 0.
-2, -1/4, 0, 1
Factor 22/7*t - 8/7*t**2 + 60/7 - 2/7*t**3.
-2*(t - 3)*(t + 2)*(t + 5)/7
Let w(d) = -8*d**2 - 7*d + 2. Let b be w(-1). Let o(s) be the first derivative of 4*s**2 - 7/6*s**3 - b - 2*s. Suppose o(q) = 0. What is q?
2/7, 2
Let y(w) be the first derivative of -w**9/84 + w**8/70 + w**7/42 - w**6/45 - w**3/3 + 14. Let f(d) be the third derivative of y(d). Find i such that f(i) = 0.
-2/3, 0, 1/3, 1
Let r(u) = -9*u**2 - 19*u. Let t(i) = -i**2 - i. Let c(z) = -2*r(z) + 6*t(z). Factor c(o).
4*o*(3*o + 8)
Let g be ((15/21)/5)/(-2 - -3). Let n(b) be the first derivative of g*b**3 + 0*b - 3/14*b**2 - 4. Factor n(q).
3*q*(q - 1)/7
Let g(i) be the third derivative of 25*i**2 + 2 + 0*i**3 + 0*i**4 + 0*i + 0*i**5 + 1/525*i**7 - 1/300*i**6. Factor g(h).
2*h**3*(h - 1)/5
Let p be 96 + -82 - (-2 - -1 - -13). Factor 20 + 35*d + 15/2*d**p.
5*(d + 4)*(3*d + 2)/2
Let i = -15/487 + 6009/5357. Factor -2/11*s**4 - 2/11 - 8/11*s - 8/11*s**3 - i*s**2.
-2*(s + 1)**4/11
Suppose x + 1 = 4*v - 3, 3*x = -2*v + 2. Let n be (-6 - -6)/(3 - v). Factor n*u**2 + u**2 + 0*u**3 + 6*u**3 - 3*u - 4*u**2.
3*u*(u - 1)*(2*u + 1)
Suppose -4 = w, -3*m + 4*w = 3 - 28. Find b, given that 9*b - m*b + 5 - 7 + b - 5*b**2 = 0.
2/5, 1
Factor 0 - 41*v**2 + 31 - 588*v - v**2 - v**3 - 2775.
-(v + 14)**3
Factor -44/3 - 40/3*f + 4/3*f**2.
4*(f - 11)*(f + 1)/3
Solve 0*r + 0*r**2 + 0*r**4 + 0 - 1/4*r**3 + 1/4*r**5 = 0 for r.
-1, 0, 1
Let m(x) be the first derivative of -x**6 + 4*x**5 - 5*x**4 + 5*x**2 - 4*x + 154. Factor m(z).
-2*(z - 1)**4*(3*z + 2)
Let u(i) be the third derivative of i**10/50400 - i**9/20160 - i**8/1344 - i**7/560 + 8*i**5/15 - i**2. Let b(z) be the third derivative of u(z). Factor b(h).
3*h*(h - 3)*(h + 1)**2
Factor 120/7 + 4/7*g**2 - 124/7*g.
4*(g - 30)*(g - 1)/7
Let t(p) be the third derivative of -p**6/30 - 11*p**5/15 - 35*p**4/6 - 50*p**3/3 - 49*p**2 + 6*p. Factor t(d).
-4*(d + 1)*(d + 5)**2
Let m = -451 + 454. Let w(r) be the first derivative of 32/27*r**m + 2*r + 8/3*r**2 + 10. Solve w(b) = 0.
-3/4
Let m(k) = -14*k**2 - 106*k. Let i(q) = 5*q**2 + 36*q. Let o(u) = -17*i(u) - 6*m(u). Determine g so that o(g) = 0.
0, 24
Let q(l) = 4*l**2 - 96*l - 48. Let f(i) = i - 2. Let k(y) = -24*f(y) + q(y). Find s, given that k(s) = 0.
0, 30
Let 6*g**3 + 26*g**2 - 13*g - g**3 - 2*g**3 + 13*g**2 + 79*g = 0. What is g?
-11, -2, 0
Let -15*f + 53 + 42 - 5*f**2 - 45 = 0. What is f?
-5, 2
Solve 21/2*t**3 + 3/2*t**4 + 18*t**2 - 24 - 6*t = 0 for t.
-4, -2, 1
Let h be (-194)/(-10) + 12/20. Let g = h - 18. Suppose -18*z**5 - 44*z**4 + 58*z**5 + 3*z**g - 4*z**3 + 5*z**2 = 0. Calculate z.
-2/5, 0, 1/2, 1
Let m(q) be the second derivative of 7*q**4/15 - 22*q**3/5 + 72*q**2/5 + q + 65. Determine w so that m(w) = 0.
12/7, 3
Let w(i) be the second derivative of -i**6/6 - 9*i**5/2 + 65*i**4/4 - 50*i**3/3 - 63*i. Factor w(r).
-5*r*(r - 1)**2*(r + 20)
Let i(m) be the third derivative of -m**4 + 0 + 1/5*m**5 - 6*m**2 - 1/60*m**6 + 0*m + 8/3*m**3. Factor i(l).
-2*(l - 2)**3
Let u be (8/144)/(-2 - 48/(-9)). Let d(g) be the third derivative of 1/6*g**3 - 1/24*g**4 + 1/120*g**6 + 0*g - u*g**5 + 0 - 3*g**2. Let d(r) = 0. What is r?
-1, 1
Let x(d) = -2*d + 8. Let y be x(4). Suppose y = 30*t - 25*t. Solve 2/5*g**2 - 2/5*g**4 + t*g**3 + 0*g + 0 = 0 for g.
-1, 0, 1
Factor -16/13*w**2 + 0 + 6/13*w.
-2*w*(8*w - 3)/13
Let x(s) = s**3. Let d(t) = 9*t**3 + 25*t**2 + 20*t. Let b(w) = -d(w) + 4*x(w). Factor b(m).
-5*m*(m + 1)*(m + 4)
Let o(y) = y. Let s(r) = -3*r**2 + 45*r - 147. Let z = -37 + 38. Let n(v) = z*s(v) - 3*o(v). Factor n(a).
-3*(a - 7)**2
Let f be (-1 + -3)/(2/(-12)). Let i be (-1)/2*f/(-3). Let -23*m**2 - 6*m**3 - 3*m**5 - 3*m**5 + 8*m + 19*m**4 + m**i - m**2 = 0. What is m?
-1, 0, 1/3, 2
Let r be ((-102)/8)/(-3)*4. Let 9*a**4 - 12*a**2 - 14*a**5 + 28*a**5 - r*a**5 = 0. What is a?
-1, 0, 2
Let k(o) = 96*o**3 + 759*o**2 - 726*o - 129. Let g(w) = 19*w**3 + 152*w**2 - 145*w - 26. Let i(m) = -24*g(m) + 5*k(m). Solve i(a) = 0 for a.
-7, -1/8, 1
Let c(i) be the second derivative of -7*i**5/50 - 4*i**4/3 + 16*i**3/15 + 256*i**2/5 + 364*i. Let c(a) = 0. Calculate a.
-4, 16/7
Let l = -10 - -30. Let s be l/6 - (-20)/30. Supp