/18 + -130/9. Let d(h) be the first derivative of 0*h - 6 + 1/9*h**3 + b*h**2. Factor d(x).
x*(x + 3)/3
Suppose z - 2 = 3. Let s be 96/45 - 4/30. Let 2*a**4 - 6*a**z + 3*a**5 + s*a**5 + 0*a**4 = 0. What is a?
0, 2
Solve 0 - 4/3*w - 82/3*w**2 = 0.
-2/41, 0
Factor 53 + 3*f**2 - 20*f - 48*f**2 + 7 + 5*f**4.
5*(f - 3)*(f - 1)*(f + 2)**2
Let i(v) = 2*v**2 + 7*v + 6. Let j be i(-3). Suppose 0*u**j - 4*u - 4*u**4 + u**5 + u**2 + 3*u**2 + 3*u**3 = 0. Calculate u.
-1, 0, 1, 2
Suppose 3*d - 5*y + 16 = 0, -1 - 3 = 4*d + 2*y. Let k be (-34)/(-10) + (-6)/(-30)*d. Factor 0 + 2/11*p**5 + 0*p**4 - 4/11*p**k + 0*p**2 + 2/11*p.
2*p*(p - 1)**2*(p + 1)**2/11
Factor -5/2*f**4 - 55/2*f + 45/2*f**2 - 5/2*f**3 + 10.
-5*(f - 1)**3*(f + 4)/2
Let 7*q**2 - 210 - 366*q + 8*q**2 - 15*q**2 + 9*q**2 - 261*q = 0. What is q?
-1/3, 70
Let l(s) be the second derivative of s**4/6 - 32*s**3/3 + 256*s**2 + 256*s. Determine d, given that l(d) = 0.
16
Let a be 34/(-85) + (19/10 - 1). Let c = 105/22 - 36/11. Solve -a - c*y - 3/2*y**2 - 1/2*y**3 = 0 for y.
-1
Let z = -8 - -35. Factor 4*l**4 - 33*l**2 - z*l**2 + 5*l**3 + 61*l**2.
l**2*(l + 1)*(4*l + 1)
Let o be (-5 - 33/6)*(-1)/7. What is p in -9/2*p**4 + 0 + o*p**3 + 3*p**5 + 0*p**2 + 0*p = 0?
0, 1/2, 1
What is a in 4 + 38/3*a + 2*a**2 = 0?
-6, -1/3
Let u = 447555/7 - 21483899/336. Let w = 1/336 - u. Factor -w*p**2 - 3/4*p - 3*p**3 + 0.
-3*p*(p + 1)*(4*p + 1)/4
Suppose -2*q = 9*q - 55. Let -12 - d**4 + 24*d**3 + 3*d**2 + 4*d**q + 21*d**4 - 11*d**2 + 4*d - 32*d = 0. What is d?
-3, -1, 1
Let b(t) be the first derivative of 0*t**4 + 10/63*t**3 + 0*t**2 - 8/21*t + 28 - 2/105*t**5. Solve b(c) = 0.
-2, -1, 1, 2
Suppose 3*j + 17 - 4 = 4*b, 1 = 5*j - b. Factor 30*s - 4*s**4 + 8*s**3 - j - 38*s + 5.
-4*(s - 1)**3*(s + 1)
Let i be -7 - -5 - (-6)/(-3)*-2. Factor p + 4*p**5 - 5*p + 3*p**2 + 6*p**2 - p**i - 8*p**4.
4*p*(p - 1)**3*(p + 1)
Let g(y) = -16*y - 53. Let d be g(-4). Let k be (d/(-33))/(10/(-6)). Factor 0 + 0*n - k*n**4 - 1/5*n**3 + 2/5*n**2.
-n**2*(n - 1)*(n + 2)/5
Let b(j) = -j**2 - 4*j. Let o be b(-4). Let a(t) be the first derivative of 0*t - 8 - 14/45*t**5 + o*t**2 + 4/27*t**3 - 5/18*t**4. Factor a(h).
-2*h**2*(h + 1)*(7*h - 2)/9
Let v(b) be the first derivative of -10*b**3/39 + 11*b**2/13 - 4*b/13 + 213. Factor v(p).
-2*(p - 2)*(5*p - 1)/13
Let i(g) = g**2 - 9*g + 3. Let d be i(9). Let u be 0 + -2 + (5 - d). Find t such that -4*t**3 + 3*t**2 - 12*t**4 + 13*t**3 + u*t**2 = 0.
-1/4, 0, 1
Let o(v) be the first derivative of 5*v**6/18 + 2*v**5/3 - 55*v**4/12 - 40*v**3/9 + 50*v**2/3 + 80*v/3 - 449. Let o(f) = 0. Calculate f.
-4, -1, 2
Suppose -2*j = -j - 4. Suppose -u = u + 2*d - 6, -3 = -2*u + d. Determine i, given that -i + 2*i**3 + 7*i + j*i**3 - 9*i**u - 3*i**3 = 0.
0, 1, 2
Suppose -11/2*r**2 + 10 - 1/2*r**3 - 4*r = 0. What is r?
-10, -2, 1
Suppose 0 = q + 4*t - 12, 5*t + 2 + 4 = 4*q. Factor b**2 + q*b**2 - 23*b + 48*b.
5*b*(b + 5)
Find z such that -1/2*z**3 + 3/4*z**2 - 1/4 + 0*z = 0.
-1/2, 1
Let z(p) be the third derivative of -21*p**2 + 0*p**3 + 0*p**4 + 1/150*p**5 - 1/100*p**6 + 0*p + 0 + 2/525*p**7. Determine w so that z(w) = 0.
0, 1/2, 1
Let k(w) be the first derivative of -w**5/20 - w**4/6 - w**3/6 - 16*w + 2. Let u(y) be the first derivative of k(y). Factor u(q).
-q*(q + 1)**2
Let t(h) be the first derivative of -1/8*h**3 + 0*h - 1/48*h**4 + 1/240*h**5 + 2 - h**2. Let v(w) be the second derivative of t(w). Solve v(i) = 0.
-1, 3
Let z(q) = 5*q**3 + 14*q**2 + 24*q + 24. Let r(u) = -4*u**3 - 13*u**2 - 25*u - 24. Let c(w) = 4*r(w) + 3*z(w). Factor c(n).
-(n + 2)**2*(n + 6)
Let t(o) = 6*o**2 + 11*o. Let r(c) = -4*c - 2*c**2 + c - 4*c - 2*c**2. Let g(u) = -7*r(u) - 5*t(u). Let g(y) = 0. What is y?
-3, 0
Determine z so that 56*z**5 + 18*z**2 - 10*z**4 - 6*z**3 - 10*z**5 - 48*z**5 = 0.
-3, 0, 1
Factor 8 - 16/3*b + 2/3*b**2.
2*(b - 6)*(b - 2)/3
Suppose -3*y + 21 = 9*v, 3*y = 5*v - y + 28. Solve 0*s - s**3 + v - 3/5*s**4 - 2/5*s**2 = 0 for s.
-1, -2/3, 0
Let b(f) be the second derivative of f**5/4 + 35*f**4/12 - 85*f**3/6 + 45*f**2/2 - 10*f + 2. Find t, given that b(t) = 0.
-9, 1
Let y be 3/15 + (9/5 - 2). Let i be 1/5 + (-63)/(-35). Factor y*u - 2/3*u**i + 0.
-2*u**2/3
Let w(m) = -m**3 - 8*m**2 + 9*m - 8. Let k be w(-9). Let y be (k/(-9))/(17/51). Let 4/3*t**2 + y*t**4 + 0 + 0*t + 10/3*t**3 + 2/3*t**5 = 0. What is t?
-2, -1, 0
Let b(m) be the first derivative of -4/3*m**3 - 4/15*m**5 + 9 - 3/2*m**4 + 4*m + 11/3*m**2. Let b(r) = 0. Calculate r.
-3, -2, -1/2, 1
Let m = 39 - 35. Let 6*g**3 + 65*g**2 + 4*g**3 - 40*g - 5*g**m + 29 - 9 - 50*g**2 = 0. What is g?
-2, 1, 2
Let a(z) be the second derivative of -z**6/135 + z**5/45 - 2*z**3/27 + z**2/9 - 3*z + 9. Let a(f) = 0. Calculate f.
-1, 1
What is u in 12/5*u**2 + 0*u**4 - 56/5*u + 22/5*u**3 - 48/5 - 2/5*u**5 = 0?
-2, -1, 2, 3
Let n(s) be the first derivative of -s**5/10 - s**4/4 + 3*s**3/2 + s**2/2 - 4*s - 149. Let n(l) = 0. What is l?
-4, -1, 1, 2
Let q(b) = -b - 5. Let h(g) = -g - 6. Let u(l) = -3*h(l) + 4*q(l). Let y be u(-5). Factor 1 - 12*n - 3*n**2 - y - 2 + 5*n**3.
(n - 2)*(n + 1)*(5*n + 2)
Suppose -4*d = 4*d - 144. Let x = -6 + 12. Determine y, given that 5*y + x*y**2 + 10*y**2 - d*y**2 + y = 0.
0, 3
Suppose 0*b + 0 + 4/5*b**5 + 36*b**3 - 96/5*b**4 - 88/5*b**2 = 0. What is b?
0, 1, 22
Suppose 3*w - 2 + 8 = 0. Let a(d) = -18*d - 4. Let x be a(w). Factor 2*i**2 + x*i**3 + 6*i**2 - 18*i**5 - 2*i - 24*i**4 - 28*i**3.
-2*i*(i + 1)**2*(3*i - 1)**2
Let r(c) = -17*c**2 - 120*c - 230. Let f(y) = -25*y**2 - 122*y - 231. Let v(j) = -2*f(j) + 3*r(j). Factor v(b).
-(b + 2)*(b + 114)
Suppose -8*y = y - 27. Suppose -3*q = 4*p + 2, -6 = y*q - 7*q - p. Solve -q*k - 27/2*k**3 + 0 - 12*k**2 = 0.
-2/3, -2/9, 0
Let m = 8 + -4. Let n(r) = r**2 - 6*r + 10. Let y be n(m). Solve -2*u**3 - 23*u**2 + 23*u**y = 0 for u.
0
Let c be ((0 - -1) + -3)/((-259)/333). What is z in c*z + 2/7*z**4 + 6/7*z**2 - 10/7*z**3 + 0 = 0?
-1, 0, 3
Let i = -9 + 27. Solve 7*w**4 + w**2 + 8*w**2 + 3*w**5 - 2*w**2 + w**2 - i*w**3 = 0 for w.
-4, 0, 2/3, 1
Let c(z) be the second derivative of z**6/60 - z**5/40 + 26*z + 2. Solve c(t) = 0 for t.
0, 1
Determine v so that 4*v**2 - 16*v + 8*v**2 + 12*v - 11*v**3 + 20*v**4 - 17*v**4 = 0.
0, 2/3, 1, 2
Let p = -116 - -130. Factor p*i**2 + 39*i**5 - 7*i - 31*i**5 + 9*i + 26*i**4 + 30*i**3.
2*i*(i + 1)**3*(4*i + 1)
Let q(l) be the third derivative of 5*l**8/336 - 5*l**7/42 - l**6/8 + 17*l**5/12 - 25*l**4/12 + 62*l**2 - 3*l. Factor q(n).
5*n*(n - 5)*(n - 1)**2*(n + 2)
Factor 15/2 + 21/4*a + 3/4*a**2.
3*(a + 2)*(a + 5)/4
Let d(t) be the second derivative of t**5/4 + 5*t**4/12 - 239*t. Determine v, given that d(v) = 0.
-1, 0
Let u(z) be the third derivative of -27*z**7/35 - 117*z**6/20 + 43*z**5/5 - 133*z**4/27 + 40*z**3/27 + 7*z**2 - 8*z. Suppose u(n) = 0. What is n?
-5, 2/9
Let n(b) be the first derivative of 17 + 0*b**2 + 0*b - 1/6*b**4 - 2/27*b**3 - 1/27*b**6 - 2/15*b**5. Factor n(g).
-2*g**2*(g + 1)**3/9
Let k(u) be the second derivative of u**6/135 + u**5/15 - 7*u**4/54 - 86*u. Factor k(i).
2*i**2*(i - 1)*(i + 7)/9
Let o(h) be the second derivative of -1/12*h**2 - 28*h - 1/3*h**3 + 0 - 1/2*h**4. Determine c so that o(c) = 0.
-1/6
Let l be (1 - 0)/((-324)/(-72)). Factor -2/3*k + 4/9 + l*k**2.
2*(k - 2)*(k - 1)/9
Suppose -b + 5*b + 6 = -2*z, 0 = -3*z - b + 11. Factor 0*r + 2*r**2 + 7*r - 9 - 5*r**2 + z*r.
-3*(r - 3)*(r - 1)
Let i(t) be the first derivative of -5*t**3/9 - 35*t**2/3 - 55*t - 580. Factor i(x).
-5*(x + 3)*(x + 11)/3
Let s = -421 + 423. Let z(l) be the first derivative of -s + 1/5*l**3 + 3/5*l**2 + 3/5*l. What is u in z(u) = 0?
-1
Let x = 50 + -299/6. Let t(p) be the third derivative of -1/10*p**5 - 6*p**2 + 0 - 1/6*p**3 + 0*p - 1/210*p**7 - 1/30*p**6 - x*p**4. Factor t(l).
-(l + 1)**4
Let t(l) be the third derivative of l**9/514080 + l**8/57120 + 2*l**5/15 - 5*l**2. Let f(r) be the third derivative of t(r). Factor f(g).
2*g**2*(g + 3)/17
Let o = 60 + -58. What is h in 0*h**2 - o*h**2 - 2*h + 0*h**2 + 0*h = 0?
-1, 0
Let z = -80 + 148. Let c = z - 63. Suppose -7/5*j**c + 12/5*j**4 - 2/5*j**2 - 3/5*j**3 + 0 + 0*j = 0. What is j?
-2/7, 0, 1
Let q(v) be the first derivative of -v**4/4 - 25*v**3/3 - 76*v**2 - 272*v - 318. Factor q(d).
-(d + 4)**2*(d + 17)
Let g(t) be the third deriv