/616 + -67/56. Suppose 14/11*t + c*t**2 - 4/11 - 36/11*t**3 = 0. Calculate t.
-1/2, 2/9, 1
Suppose 2032 = -3*x + 2038. Suppose 0 + 1/11*c + 1/11*c**x = 0. Calculate c.
-1, 0
Let y(f) be the first derivative of f**7/3780 + f**6/180 + f**5/20 + f**4/4 - 5*f**3/3 - 18. Let l(n) be the third derivative of y(n). Factor l(z).
2*(z + 3)**3/9
Let n(x) = -x**3 + 5*x**2 - 13*x + 3. Let c(z) = 8*z**3 - 40*z**2 + 107*z - 24. Let v(m) = -6*c(m) - 51*n(m). Let v(d) = 0. Calculate d.
1, 3
Let l(v) be the second derivative of v**4/84 + v**3/14 + v - 115. Let l(j) = 0. What is j?
-3, 0
Let p(h) = h + 19. Let n be p(-15). Let d be (-45)/(-18)*n/6. Find t such that -d*t**2 - 4/3*t**3 + 0 - 1/3*t**4 - 2/3*t = 0.
-2, -1, 0
Let b(j) = -2*j**4 + j**3 + j**2 - 2*j**3 + 3*j**4 - 2 + 1. Let k(v) = -2*v**5 - 3*v**4 + 11*v**3 + v**2 - 16*v + 9. Let o(f) = -2*b(f) - 2*k(f). Factor o(l).
4*(l - 1)**3*(l + 2)**2
Let y(w) = w**3 - 7*w**2 + 10*w - 2. Let m(k) = -k**3 + 0*k**2 + 2*k + 0 - 13*k + 1 + 8*k**2. Suppose -4*t + 7 = -17. Let a(i) = t*y(i) + 4*m(i). Factor a(u).
2*(u - 2)**2*(u - 1)
Suppose -31*y = -32*y + 2. Suppose 0 = -0*o - 3*o + 9. Suppose u**3 - 3*u**o + 3 + u**5 - 2*u**y - 2*u - 2 + u**4 + 3*u = 0. Calculate u.
-1, 1
What is b in 0 - 3/4*b**3 + 9/4*b - 3/2*b**2 = 0?
-3, 0, 1
Let p(a) be the first derivative of 14 + 6*a**2 - 2*a**3 - 8*a + 1/4*a**4. Factor p(m).
(m - 2)**3
Let i(n) be the second derivative of n**4/66 + 19*n**3/33 + 18*n**2/11 - 4*n - 6. Let i(w) = 0. Calculate w.
-18, -1
Suppose 1 - 4 - d**2 - 6 - 15*d - 5 = 0. Calculate d.
-14, -1
Let l(j) = -18*j**3 + 32*j**2 + 3*j - 20. Let o(f) = -35*f**3 + 65*f**2 + 5*f - 40. Suppose q - 26 = -31. Let y(s) = q*l(s) + 3*o(s). Solve y(t) = 0 for t.
-2/3, 1, 2
Suppose 21/4*l - 3/8*l**2 - 39/8 = 0. What is l?
1, 13
Factor 32/3*u**3 - 526/3*u - 1040/3*u**2 - 22.
2*(u - 33)*(4*u + 1)**2/3
Suppose -8*f = 12*f - 80. Let g(d) be the second derivative of 1/6*d**f + 1/3*d**3 + 0 + 0*d**2 - 7*d. Solve g(i) = 0.
-1, 0
Suppose -47 + 300 = 36*v + 145. Determine n, given that 0*n**2 + 0 + 2/15*n - 2/15*n**v = 0.
-1, 0, 1
Let p = 213/2110 - 1/1055. Factor -3/5 + 1/10*w**2 + p*w.
(w - 2)*(w + 3)/10
Let -44*p + 253/4*p**3 + 329/4*p**2 - 77/4*p**5 + 5 - 349/4*p**4 = 0. Calculate p.
-5, -1, 2/11, 2/7, 1
Let h(l) be the first derivative of -l**6/6 - 2*l**5/5 + 3*l**4/2 + 20*l**3/3 + 19*l**2/2 + 6*l - 46. Factor h(m).
-(m - 3)*(m + 1)**3*(m + 2)
Suppose -74 = -2*x + 3*y - 46, -2*x - 36 = 5*y. Factor 4*a**2 + 16/3*a + 0 - x*a**3 - 2/3*a**4.
-2*a*(a - 2)*(a + 1)*(a + 4)/3
Determine t so that 4/3*t**4 + 0 - 22/9*t**3 + 4/3*t**2 + 0*t - 2/9*t**5 = 0.
0, 1, 2, 3
Let j(r) be the third derivative of 1/24*r**6 + 0 + 0*r - 7/12*r**5 + 0*r**3 + 16*r**2 - 5/3*r**4. Factor j(n).
5*n*(n - 8)*(n + 1)
Let g be (12/(-22))/(16/(-88)). Let j(k) be the first derivative of -5/3*k**g + 15/2*k**2 - 10*k - 7. Factor j(w).
-5*(w - 2)*(w - 1)
Let a be 51228/350 + (8967/(-525) - -17). Find n, given that a + 48/7*n**2 - 384/7*n - 2/7*n**3 = 0.
8
Let s be (-814)/77 + 10 + 16/28. Suppose 1/8*r - 1/4*r**3 + 0*r**4 + 0 + 1/8*r**5 + s*r**2 = 0. What is r?
-1, 0, 1
Let n(t) be the first derivative of -t**3/6 + 7*t**2 + 30*t - 131. Factor n(g).
-(g - 30)*(g + 2)/2
Let m = 3328 + -356100/107. Let u = m - -226/321. Find n, given that 1/3*n - n**2 + u = 0.
-2/3, 1
Let f(l) = -5*l**3 - 40*l**2 - 60*l + 9. Let g(v) = 10*v**3 + 80*v**2 + 120*v - 15. Let b(m) = -5*f(m) - 3*g(m). Factor b(j).
-5*j*(j + 2)*(j + 6)
Let t(k) = -10*k**2 + 25*k + 65. Let l(x) = -11*x**2 + 25*x + 64. Let i(n) = 5*l(n) - 6*t(n). Find d such that i(d) = 0.
-2, 7
Suppose 0 = -2*n - 5*a + 9, -5*n + 3*a - 8*a + 15 = 0. Let -1/2*u**n - u - 1/2 = 0. Calculate u.
-1
Let g(h) = -3*h**2 - 414*h - 14279. Let l(p) = -3*p**2 - 414*p - 14280. Let r(m) = 3*g(m) - 4*l(m). What is c in r(c) = 0?
-69
Let -327680 + 20*k**4 + 20*k**4 - 66*k**4 - 7680*k**2 + 21*k**4 + 320*k**3 + 81920*k = 0. Calculate k.
16
Let r(g) be the second derivative of -2*g**6/15 - g**5 - g**4 + 6*g**3 + 763*g. What is x in r(x) = 0?
-3, 0, 1
Let i(h) be the third derivative of 0*h + 4/9*h**6 - 9/4*h**4 + 2/5*h**5 + 0 - 11*h**2 - 64/315*h**7 + 3*h**3. Factor i(b).
-2*(b + 1)*(4*b - 3)**3/3
Let g = 30/11 + -46/33. Let w(q) = -2*q**2 + 21*q - 47. Let h be w(7). Factor -10/3*i + g + 8/3*i**h - 2/3*i**3.
-2*(i - 2)*(i - 1)**2/3
Factor 1/5*d**3 + 26/5*d**2 + 71/5*d + 46/5.
(d + 1)*(d + 2)*(d + 23)/5
Let p(t) be the second derivative of -t**4/9 - 5*t**3/3 - 7*t**2/3 - 3*t + 36. Factor p(y).
-2*(y + 7)*(2*y + 1)/3
What is p in -87/4*p - 9/8*p**3 + 15/8*p**4 - 9 - 123/8*p**2 + 3/8*p**5 = 0?
-4, -2, -1, 3
Determine v, given that -1/2 - 50*v**3 - 65/2*v**2 - 7*v = 0.
-1/4, -1/5
Let h(l) be the first derivative of 5/4*l**4 + 0*l - 5/3*l**3 + 3 - 5*l**2. Determine b, given that h(b) = 0.
-1, 0, 2
Let s be (-22)/6*3/1. Let z = s + 13. Factor 10*q**2 + q**2 - 5*q**3 - 2*q**2 + q**z.
-5*q**2*(q - 2)
Let m = 2934 + -1398. Let c(d) be the second derivative of 0 - 24*d**5 - 160*d**4 - m*d**2 - 2*d**6 - 3*d - 640*d**3 - 1/14*d**7. Factor c(a).
-3*(a + 4)**5
Let n(m) be the first derivative of 25*m**6/9 - 32*m**5/3 + 23*m**4/2 - 4*m**3 + 52. Factor n(y).
2*y**2*(y - 2)*(5*y - 3)**2/3
Let x(s) be the third derivative of s**5/120 - 2*s**4/3 + 64*s**3/3 + s**2 + 3*s. Factor x(c).
(c - 16)**2/2
Let b = -152 - -249. Factor -3*f**2 + b*f - 103*f + 0*f**2.
-3*f*(f + 2)
Suppose -q - 85 = 3*t + 99, -2*t = -3*q + 119. Let o = 306/5 + t. Factor -1/5*b + o*b**3 - 1/5*b**2 + 1/5.
(b - 1)**2*(b + 1)/5
Let q(w) be the first derivative of 25*w**4/18 + 112*w**3/27 + 37*w**2/9 + 4*w/3 + 187. Factor q(j).
2*(j + 1)**2*(25*j + 6)/9
Let d(t) be the third derivative of -20*t**2 - 1/945*t**7 + 1/504*t**8 - 1/180*t**6 + 0*t**3 + 0 + 0*t**4 + 0*t + 1/270*t**5. Determine x so that d(x) = 0.
-1, 0, 1/3, 1
Let q(k) = 2*k**2 - 15*k - 11. Let v be q(10). Factor 123 + 4*o**2 + 48*o - 18 + v.
4*(o + 6)**2
Let k(i) = -17*i**2 + 38*i - 105. Let q(f) = 66*f**2 - 154*f + 420. Let b(j) = 23*k(j) + 6*q(j). Factor b(a).
5*(a - 7)*(a - 3)
Let h(b) = -3*b**2 - 6*b + 18. Let u(r) = 3*r**2 + 5*r - 18. Let o(i) = 2*h(i) + 3*u(i). Factor o(f).
3*(f - 2)*(f + 3)
Let w(y) = 4*y**2 + 40*y + 5. Let k be w(-10). Let i(f) be the first derivative of -1/12*f**4 - k + 0*f**2 + 0*f + 0*f**3. Factor i(u).
-u**3/3
Let v(p) = p**2 + 61*p + 4. Let n(d) = -2*d - 2. Let a(i) = 4*n(i) + 2*v(i). Let a(r) = 0. Calculate r.
-57, 0
Let l(q) = -q - 5. Let z be l(-5). Suppose 7*i - 5*i - 8 = z. Factor 73*c - 53*c + 8 - 4*c**3 + 12*c**2 - 2*c**4 - 2*c**i.
-4*(c - 2)*(c + 1)**3
Let i(n) be the third derivative of -n**5/390 + 17*n**4/39 - 1156*n**3/39 - 20*n**2 + 4. Determine f, given that i(f) = 0.
34
Suppose 3*k + 3*s + 0*s = 51, -k + 5*s = -17. Factor 2*t**3 - 2*t - 19 + 2*t**2 + 0*t + k.
2*(t - 1)*(t + 1)**2
Let w(x) be the second derivative of x**6/12 + 13*x**5/40 - 3*x**4/2 - 7*x**3/3 + 4*x**2 - 61*x. What is p in w(p) = 0?
-4, -1, 2/5, 2
Let i(t) be the second derivative of 5*t**7/42 + t**6/3 - 3*t**5/4 - 10*t**4/3 - 10*t**3/3 - 80*t. Solve i(z) = 0.
-2, -1, 0, 2
Let q(v) be the second derivative of 5*v**4/12 - 45*v**2/2 + 42*v + 2. Find l, given that q(l) = 0.
-3, 3
Factor 8/5*h**4 + 18/5*h**3 + 0 + 2/5*h + 12/5*h**2.
2*h*(h + 1)**2*(4*h + 1)/5
Let f(l) be the third derivative of -l**6/40 - l**5/30 - l**4/24 + 14*l**2. Let p be f(-1). Suppose -13 + 24*b**p + 4 + 10*b + 5 = 0. Calculate b.
-2/3, 1/4
Let w(n) be the third derivative of 5*n**7/168 - 19*n**6/48 + 16*n**5/15 - n**4 + 240*n**2. Factor w(s).
s*(s - 6)*(5*s - 4)**2/4
Let b(s) be the second derivative of -1/80*s**6 + 3/40*s**5 + 0 - s - 3/16*s**4 + 1/4*s**3 - 2*s**2. Let i(u) be the first derivative of b(u). Factor i(o).
-3*(o - 1)**3/2
Let b(j) = -j**3 + 6*j**2 - 3*j - 1. Let d be b(6). Let v = d - -22. Factor 2 - 2 + 2 + 10 + 12*y + v*y**2.
3*(y + 2)**2
Let a(o) be the third derivative of o**7/140 + o**6/20 + 164*o**2. Factor a(d).
3*d**3*(d + 4)/2
Let f(v) be the first derivative of -v**5 + 15*v**4/2 - 55*v**3/3 + 15*v**2 - 128. Factor f(i).
-5*i*(i - 3)*(i - 2)*(i - 1)
Let h(i) be the third derivative of i**5/330 - 47*i**4/66 + 2209*i**3/33 + 12*i**2 + 4. Suppose h(j) = 0. What is j?
47
Let s(p) be the first derivative of p**4/2 - 4*p**3/3 - 3*p**2 - 2. 