65/2*w**4 + 2205/2*w**5 = 0. What is w?
-3, 0, 2/9, 2/7
Let s(j) be the third derivative of -1/12*j**4 + 0 - 1/90*j**5 - 9*j**2 + 2/9*j**3 + 1/60*j**6 + 0*j - 1/315*j**7. What is w in s(w) = 0?
-1, 1, 2
Let b = 43 - 8. Let y be (-1)/b - (-63)/147. What is r in 4/5 - y*r**2 - 7/5*r = 0?
-4, 1/2
Let c(a) = 2*a**5 + 10*a**4 - 20*a**3 + 18*a**2 - 10*a. Let g(z) = -2*z**5 + z**2 + 1. Let l(q) = 2*c(q) + 4*g(q). Determine k so that l(k) = 0.
1
Let z = 1521 + -1516. Let q(f) be the first derivative of 3/10*f**4 + 4/15*f**3 + 2/25*f**z + 0*f**2 + 14 + 0*f. Factor q(j).
2*j**2*(j + 1)*(j + 2)/5
Let a(j) = -3*j**3 - 2*j**2 + 5*j. Let n(i) = -6*i**3 - 4*i**2 + 10*i. Let q(o) = -5*a(o) + 2*n(o). Factor q(p).
p*(p - 1)*(3*p + 5)
Let r(v) be the second derivative of -v**6/5 + 2*v**5/5 + 5*v**4/6 - 2*v**3/3 + 50*v. Solve r(j) = 0.
-1, 0, 1/3, 2
Let o(a) be the third derivative of -a**5/450 - a**4/15 - 11*a**2 + a. Factor o(i).
-2*i*(i + 12)/15
Suppose -9*w = -6*w + 2*o - 19, 0 = 5*o - 25. Suppose 2/9*h**w - 14/9*h + 8/9 + 4/9*h**2 = 0. Calculate h.
-4, 1
Let m = 1 - 2. Let q be (m - -6)*(0 + 1). Determine c, given that 27*c**5 + 8*c**2 - 36*c**3 - 3*c**q + 15 - 13 - 10*c**4 + 12*c = 0.
-1, -1/3, -1/4, 1
Suppose a + 4 = 2*a - p, -4*p - 16 = -a. Let v(b) = 4*b**3 + 4*b**2 - 11*b - 3. Let z be v(-2). Let 1/2*r + a + 1/2*r**z - r**2 = 0. Calculate r.
0, 1
Let b(w) = w**3 + 2*w**2. Let g(i) be the second derivative of i**5/20 + i**4/4 - 14*i. Let h(f) = 4*b(f) - 3*g(f). Find t, given that h(t) = 0.
0, 1
Let 42/13 + 40/13*m - 2/13*m**2 = 0. Calculate m.
-1, 21
Let h(u) be the first derivative of -3*u**5/5 - 27*u**4 - 324*u**3 + 68. Solve h(j) = 0.
-18, 0
Find g, given that g**2 + 5/3*g**3 + 0*g + 0 + 1/3*g**4 - 1/3*g**5 = 0.
-1, 0, 3
Let c(m) be the third derivative of m**8/84 - 4*m**7/105 - m**6/10 + 8*m**5/15 - 2*m**4/3 - 2*m**2 + 85*m. Factor c(u).
4*u*(u - 2)*(u - 1)**2*(u + 2)
Let a be 28/119 + (-1230)/(-697). Factor 3/8*m**a + 54 - 9*m.
3*(m - 12)**2/8
Let g(x) be the first derivative of x**6/90 + x**5/6 + x**4 - 19*x**3/3 + 19. Let a(d) be the third derivative of g(d). Let a(n) = 0. Calculate n.
-3, -2
Suppose 24 = 4*n - 4*z, -z + 9 = 2*n - 0*z. Suppose 0 = -2*i + n*h - 9, -16 = -5*i - 2*h + 5. Factor -2 - 13*p - 24*p**2 - 3*p**3 - 8*p**i + 2*p**3.
-(p + 2)*(3*p + 1)**2
Let l(k) be the first derivative of -1/2*k**6 - 12 - 20*k**3 + 9/2*k**4 + 57/2*k**2 + 6/5*k**5 - 18*k. Factor l(t).
-3*(t - 2)*(t - 1)**3*(t + 3)
Let t = 515 + -512. Let d(p) be the first derivative of p**2 + 1 + 1/3*p**t + 0*p - 1/4*p**4. Find a, given that d(a) = 0.
-1, 0, 2
Let k(f) be the third derivative of f**7/630 - 29*f**6/360 + 77*f**5/60 + 121*f**4/72 - 2662*f**3/9 + 385*f**2. Factor k(w).
(w - 11)**3*(w + 4)/3
Let f be 2/4 - ((-13)/2 - -4). Factor -2*n + n**3 + 4*n**4 - f*n**4 + 31*n**2 + n - 32*n**2.
n*(n - 1)*(n + 1)**2
Let j(g) be the third derivative of 1/3*g**3 - 1/60*g**5 - 1/24*g**4 + 0*g + 15*g**2 + 0. Let j(u) = 0. What is u?
-2, 1
Let t(a) be the first derivative of -a**4/32 + a**3/3 + 19*a**2/16 + 5*a/4 + 462. Factor t(x).
-(x - 10)*(x + 1)**2/8
Let a(u) be the third derivative of -u**8/8400 + u**7/1400 - u**5/150 + u**3 + 18*u**2. Let x(t) be the first derivative of a(t). Let x(m) = 0. What is m?
-1, 0, 2
Let 0 + 250/3*y + 10*y**3 + 50*y**2 + 2/3*y**4 = 0. Calculate y.
-5, 0
Let w(p) = p. Let z(r) = 4*r**2 + 8*r - 8. Let o be ((-9)/(-3))/(6/24). Let a(k) = o*w(k) - z(k). Solve a(t) = 0 for t.
-1, 2
Let n(q) = -9*q**2 + 5*q + 30. Let z(y) = -26*y**2 + 15*y + 90. Suppose 0 = -4*t + 9 - 25. Let m(x) = t*z(x) + 11*n(x). Solve m(r) = 0.
-2, 3
Let s be (0 - 0) + (-405)/945 - (-81)/21. Factor 0 - 27/7*c**3 + s*c - 102/7*c**2.
-3*c*(c + 4)*(9*c - 2)/7
Let l(d) be the third derivative of d**7/840 - d**6/360 - 23*d**3/6 + 25*d**2. Let u(m) be the first derivative of l(m). Factor u(r).
r**2*(r - 1)
Suppose -8 + 2/3*g**3 - 6*g**2 + 40/3*g = 0. Calculate g.
1, 2, 6
Let c(g) be the third derivative of 0 - 1/210*g**5 + 1/42*g**4 + 0*g + 0*g**3 - 35*g**2. Suppose c(r) = 0. Calculate r.
0, 2
Let b(l) be the third derivative of -l**7/70 + l**6/40 + l**5/2 + l**4 + 6*l**2 + 1. Find c, given that b(c) = 0.
-2, -1, 0, 4
Let o(f) be the third derivative of 0*f - 1/12*f**6 - 1/14*f**7 - 5/336*f**8 + 0*f**5 + 0*f**4 + 0 - 5*f**2 + 0*f**3. Factor o(m).
-5*m**3*(m + 1)*(m + 2)
Let z(u) be the first derivative of u**4/22 + 2*u**3/33 - 4*u**2/11 - 8*u/11 + 89. Find g, given that z(g) = 0.
-2, -1, 2
Let b(j) be the third derivative of -1/6*j**3 + 0*j**4 + 1/60*j**5 + 0 + 0*j - 6*j**2. Factor b(n).
(n - 1)*(n + 1)
Let g(h) = -h**3 - 32*h**2 - 90*h - 897. Let y be g(-30). Factor 0*x + 4/7*x**y + 2/7*x**2 + 0 + 2/7*x**4.
2*x**2*(x + 1)**2/7
Suppose -7*w = -10*w + 516. Let h be w/84 - 1/3. Factor 12/7 + h*o + 3/7*o**2.
3*(o + 2)**2/7
Let y(t) be the second derivative of 7/12*t**4 - 3*t**2 - 19/6*t**3 + 0 - 11*t. What is r in y(r) = 0?
-2/7, 3
Let o(m) = -m**3 + 1. Let r(l) = -3*l**3 + l**2 - l + 3. Let h = -38 - -30. Suppose 4 = x + 1. Let k(y) = h*o(y) + x*r(y). Suppose k(j) = 0. What is j?
1
What is r in 6/7 + 6/7*r**4 + 2/7*r**5 - 12/7*r**2 - 4/7*r**3 + 2/7*r = 0?
-3, -1, 1
Suppose y + 2*p - 6*p = 36, p = -4*y + 59. Factor y*f - 1 + 4*f**2 + 26 - 9.
4*(f + 2)**2
Find d, given that -9/4*d**2 + 1/2*d + 0 = 0.
0, 2/9
Suppose -1/4*k**2 - 5/2*k + 75/4 = 0. What is k?
-15, 5
Let r be (-264)/352 + (-1)/(-1). Factor -1/2*h**2 + 0*h**3 - 1/4*h + 1/2*h**4 + r*h**5 + 0.
h*(h - 1)*(h + 1)**3/4
Let g(p) be the third derivative of -p**8/12 - 172*p**7/105 - 57*p**6/10 - 112*p**5/15 - 10*p**4/3 + 582*p**2. Find t, given that g(t) = 0.
-10, -1, -2/7, 0
Suppose -40*m = -6*y - 44*m + 8, -5*m = 4*y - 10. Find d such that 8/5*d**5 + y*d + 0 + 2/5*d**3 - 2*d**4 + 0*d**2 = 0.
0, 1/4, 1
Factor 6*h + 15 + 3/5*h**2.
3*(h + 5)**2/5
Let q(o) be the first derivative of 8*o**5/255 - 10*o**4/51 + 25*o**3/51 + 12*o**2 - 6. Let g(d) be the second derivative of q(d). Solve g(f) = 0 for f.
5/4
Let g(n) be the first derivative of -n**5/5 - 2*n**4 - 8*n**3 - 16*n**2 - 9*n - 3. Let s(q) be the first derivative of g(q). Factor s(k).
-4*(k + 2)**3
Let s(u) be the first derivative of u**6/360 - u**5/30 + u**4/8 - 3*u**2/2 + 8. Let t(q) be the second derivative of s(q). Factor t(l).
l*(l - 3)**2/3
Let i(v) = -7*v + 72. Let c be i(10). Let s be (-8 + 10)/(-2) - (-5)/c. Factor -6 - s*u**2 + 6*u.
-3*(u - 2)**2/2
Let l(y) be the first derivative of -y**4/8 + 8*y**3/3 - 16*y**2 + 56. Factor l(o).
-o*(o - 8)**2/2
Suppose 3*v = 1706*d - 1703*d - 3, 4*d + 5*v = 22. Find b such that 1/2*b**d - b + 0 - 1/2*b**2 = 0.
-1, 0, 2
Factor 1/2*t**2 + 4 + 3*t.
(t + 2)*(t + 4)/2
Factor 0*l**2 + 0 + 0*l - 1/10*l**3 - 1/10*l**4.
-l**3*(l + 1)/10
Let u(s) be the first derivative of 0*s**2 - 3 + 4/3*s**3 - 16*s. Solve u(y) = 0.
-2, 2
Let i(u) be the third derivative of -u**7/630 + u**6/90 + 4*u**5/15 + u**4/2 + 4*u**2. Let h(y) be the second derivative of i(y). Factor h(t).
-4*(t - 4)*(t + 2)
Let b(s) be the first derivative of -13 - 13/8*s**2 + s + 1/4*s**3. Suppose b(j) = 0. Calculate j.
1/3, 4
Suppose 5*d = 9*d - 76. Let s = d + -17. Factor 0*y**4 + 6*y**2 + 2*y**2 - 2*y - 8*y**4 + 0*y**4 + s*y**3.
-2*y*(y - 1)*(y + 1)*(4*y - 1)
Let v(y) be the first derivative of -y**4/2 + 2*y**3 - 2*y**2 + 20. Suppose v(p) = 0. Calculate p.
0, 1, 2
Let n = -48 + 71. Let o = n - 18. Find m, given that 0*m**2 - 2*m - 4*m + 3*m**o + 15*m**2 - 2*m**4 - 9*m**3 - m**4 = 0.
-2, 0, 1
Let j(m) be the third derivative of -6*m**3 - 46/15*m**5 - m**6 - 10*m**2 - 1/84*m**8 - 11/2*m**4 + 0*m - 6/35*m**7 + 0. Factor j(d).
-4*(d + 1)**3*(d + 3)**2
Let c(a) be the third derivative of -1/30*a**6 + 0 + 0*a + 0*a**4 - 13*a**2 + 0*a**3 - 1/84*a**8 + 0*a**5 + 4/105*a**7. Factor c(x).
-4*x**3*(x - 1)**2
Let n be ((32/36)/(-8) - (-20)/18)*4. Factor 25/2*h**n - 20*h**3 - 5/2*h**5 + 10*h**2 + 0 + 0*h.
-5*h**2*(h - 2)**2*(h - 1)/2
What is z in 33/4*z + 9/2*z**3 - 3/4*z**4 + 21/2*z**2 - 3/4*z**5 + 9/4 = 0?
-1, 3
Let q(d) be the first derivative of d**4/30 + 2*d**3/5 + 2*d**2/5 - 32*d/15 - 324. Suppose q(y) = 0. Calculate y.
-8, -2, 1
Let t(l) be the second derivative of -l**4/54 - 58*l**3/27 - 841*l**2/9 - 93*l. Factor t(y).
-2*(y + 29)**2/9
Let q be 2/((-7)/(245/(-14))). Let s(j) = j**3 + 6*j**2 