(t + 26)/13
Suppose -36 - 10 = -u. Let x = -228/5 + u. Suppose -4/5*a**2 + 2/5 + x*a**4 + 0*a**3 + 0*a = 0. Calculate a.
-1, 1
Let x(t) = -t. Let s(k) = -2*k**4 + 2*k**3 + 6*k**2 - 5*k - 4. Let q(u) = -s(u) + 3*x(u). Factor q(v).
2*(v - 2)*(v - 1)*(v + 1)**2
Let c(h) be the first derivative of 16*h**5/5 - 8*h**4 - 44*h**3/3 + 66*h**2 - 72*h - 33. Factor c(z).
4*(z - 1)*(z + 2)*(2*z - 3)**2
Let h(l) be the second derivative of -85*l**4/12 + 70*l**3/3 + 30*l**2 - 3*l + 4. Factor h(b).
-5*(b - 2)*(17*b + 6)
What is n in 631*n**4 + 2*n**5 - 90*n**3 + 88*n - 1189*n**4 - 86*n**2 + 644*n**4 = 0?
-44, -1, 0, 1
Let q(o) be the second derivative of -o**5/25 - o**4/15 + 2*o**3/15 + 2*o**2/5 + 135*o. Factor q(l).
-4*(l - 1)*(l + 1)**2/5
Let g(v) = -v**3 + 4*v**2 + 35*v + 28. Let d(q) = -2*q**3 + 9*q**2 + 72*q + 56. Let y(k) = 2*d(k) - 5*g(k). Find p such that y(p) = 0.
-4, -1, 7
Factor 64/3 + 10*z - 1/3*z**2.
-(z - 32)*(z + 2)/3
Let r be (-20)/(-18)*210/175. Factor -r - 2/3*y**2 + 2*y.
-2*(y - 2)*(y - 1)/3
Let k be 4 - (-3 - -2) - 2. Factor -5*j - 30 + 2*j**2 + k*j**2 - 2*j**2 + 2*j**2.
5*(j - 3)*(j + 2)
Suppose -1/4*i**2 - i + 21/4 = 0. Calculate i.
-7, 3
Suppose -3*y + 18 = -21. Suppose -10 = -15*o + y*o. What is t in -45/7*t**2 + 144/7*t**4 - 1728/7*t**o - 18/7*t + 348/7*t**3 + 3/7 = 0?
-1/3, 1/4
Let m be (-45)/(-18)*6/5. What is j in 1 + 6*j**2 - 3*j**m - 3 - 4*j**2 + 4*j**3 - j = 0?
-2, -1, 1
Let z(k) = k**3 + 6*k**2 + k - 8. Let d be z(-5). Solve -d + 8*q**2 - 12*q - 20 + 4*q**3 - 4*q = 0.
-2, 2
Let j be (-12 - (-1573)/130) + (-57)/(-30). Factor 8/5*h**j + 0 - 2/5*h.
2*h*(4*h - 1)/5
Let u be (-4)/(((-1620)/(-567))/((-9)/7 + 1)). Find y such that 2/5*y**4 - 2/5*y**2 - u*y**3 + 0 + 2/5*y = 0.
-1, 0, 1
Suppose -5*t = u, -7*t = 2*u - 2*t. Let k(p) be the third derivative of 5/24*p**6 + p**4 - 2/3*p**3 + 2*p**2 + 0 + u*p - 3/4*p**5. Factor k(f).
(f - 1)*(5*f - 2)**2
Let r(f) be the third derivative of f**5/180 - f**4/18 - 2*f**3/3 - 25*f**2 - 1. Factor r(c).
(c - 6)*(c + 2)/3
Suppose -4*a + 78 = -a. Let h be (-56)/(-26) - 4/a. Solve -4*z**h + 4 - 4*z**3 + 0 + 8*z - 4 = 0.
-2, 0, 1
Suppose 43*a - 36*a = -22*a + 174. Determine d so that 1/2 + 3/2*d**4 - 5*d**3 - 3*d + a*d**2 = 0.
1/3, 1
Let v = 1/2109 - -2107/4218. Let t(z) be the second derivative of 0 + v*z**3 + 0*z**4 - 1/5*z**5 + 3*z - 1/2*z**2. Suppose t(o) = 0. What is o?
-1, 1/2
Suppose 3*h = 4*i - 14, -2*h + 7*h + 4*i - 30 = 0. Factor -25*f - 10 - 19*f**2 + 10*f**3 + 3*f**h + 11*f**2.
5*(f - 2)*(f + 1)*(2*f + 1)
Let h(f) be the first derivative of -3*f**4/16 - 9*f**3/4 + 3*f**2/8 + 27*f/4 + 228. Factor h(a).
-3*(a - 1)*(a + 1)*(a + 9)/4
Let v be ((-1)/2)/(2/(-32)*(-10 + 14)). Factor 2/3*w**v + 0 + 0*w.
2*w**2/3
Suppose 2*t - 7 - 19 = 0. Factor 13 - i**2 + t - 30 - 5*i.
-(i + 1)*(i + 4)
Let m = -126/23 + 1180/207. Determine p so that -2/3*p**3 + 0 + 4/9*p**2 + 0*p + m*p**4 = 0.
0, 1, 2
Let u(s) be the second derivative of -s**6/240 - s**5/32 + 13*s**4/96 - 7*s**3/48 - 189*s. Let u(i) = 0. What is i?
-7, 0, 1
Let o(w) be the second derivative of w**7/105 + 2*w**6/75 - w**4/15 - w**3/15 - w + 5. Let o(q) = 0. Calculate q.
-1, 0, 1
Let i(m) be the second derivative of 2*m**7/21 - 9*m**6/50 - 11*m**5/25 + 23*m**4/60 + 4*m**3/5 + 2*m**2/5 - 13*m. What is x in i(x) = 0?
-1, -2/5, -1/4, 1, 2
Let u(f) be the third derivative of 4/3*f**3 - 20*f**2 - 8/105*f**7 - 5/3*f**4 + 1/42*f**8 + 0 + 0*f - 11/60*f**6 + 31/30*f**5. Find m such that u(m) = 0.
-2, 1/2, 1, 2
Let b(y) be the second derivative of y**7/42 - y**6/30 - y**5/5 + y**4/3 - 5*y + 6. Factor b(a).
a**2*(a - 2)*(a - 1)*(a + 2)
Let b(f) be the first derivative of 3*f**4/4 + 10*f**3/3 + 3*f**2/2 + 378. Let b(w) = 0. What is w?
-3, -1/3, 0
Let x(d) be the first derivative of -d**8/8400 + d**6/1800 - 11*d**3/3 - 14. Let m(t) be the third derivative of x(t). Let m(c) = 0. What is c?
-1, 0, 1
Let y(t) = -19*t**3 + 232*t**2 - 314*t - 123. Let u(z) = 29*z**3 - 348*z**2 + 470*z + 185. Let h(p) = 5*u(p) + 7*y(p). Factor h(i).
4*(i - 8)*(i - 2)*(3*i + 1)
Let g(k) = k**2 + 10*k - 16. Let r(d) = 8*d**2 + 82*d - 128. Let y(f) = -51*g(f) + 6*r(f). Factor y(q).
-3*(q - 2)*(q + 8)
Let p(x) be the third derivative of -9*x**2 - 1/3*x**4 + 0 + 0*x - 1/15*x**5 + 2*x**3. Suppose p(d) = 0. Calculate d.
-3, 1
Let q = -713 + 1059. Solve -12*o**2 - 3*o**2 - 340 + 9*o + q = 0.
-2/5, 1
Suppose -5*a = -2912 + 2902. Solve 0 + 0*f - 2/13*f**a - 8/13*f**3 = 0.
-1/4, 0
Let h be 8/1 - (-5 + 5) - -2. Factor h*t**3 - 15*t**4 + 4*t - 24*t + 2*t + 5*t**5 + 10*t**2 + 5 + 3*t.
5*(t - 1)**4*(t + 1)
Let p(i) be the first derivative of 3*i**4/4 + i**3 - 3*i**2/2 - 3*i + 75. Factor p(f).
3*(f - 1)*(f + 1)**2
Let o be (-141)/235*((-5)/21 - 0). Suppose -o*j**2 + 0 + 5/7*j = 0. Calculate j.
0, 5
Let u(n) be the first derivative of -n**6/1080 + n**5/72 - n**4/18 + 7*n**3/3 + 5. Let i(x) be the third derivative of u(x). Suppose i(j) = 0. Calculate j.
1, 4
Let x = 14074/7 + -2010. Factor 6/7*s + x + 2/7*s**2.
2*(s + 1)*(s + 2)/7
Let h(b) be the first derivative of -b**6/600 - b**5/300 + b**4/120 + b**3/30 + 12*b**2 + 24. Let x(g) be the second derivative of h(g). Solve x(r) = 0 for r.
-1, 1
Let i(x) be the first derivative of -x**6/15 + 6*x**5/25 - x**4/10 - 2*x**3/5 + 2*x**2/5 + 6. Determine f so that i(f) = 0.
-1, 0, 1, 2
Let q(b) be the third derivative of -b**8/60480 - b**7/15120 + 3*b**5/10 + 15*b**2. Let s(t) be the third derivative of q(t). Determine l so that s(l) = 0.
-1, 0
Let c be ((-4)/(-6))/((138/(-12))/(-23)*2). What is w in -c*w**2 + 0 + 2*w = 0?
0, 3
Let s(t) be the second derivative of 0 + 0*t**5 - 2*t + 0*t**3 - 1/21*t**4 + 0*t**2 + 1/210*t**6. Find b such that s(b) = 0.
-2, 0, 2
Suppose 2*m - 2 = 4*t - 0*m, -4*t = 4*m + 32. Let f(x) = -3*x - 7. Let s be f(t). Factor 2/5*o**s + 2/5*o - 4/5.
2*(o - 1)*(o + 2)/5
Suppose 0 = -4*o + 2*y - 49 - 17, -2*o + 4*y = 18. Let t = -17 - o. Suppose t*u**2 - 5*u**5 + u**3 + 7*u**5 - 2*u**3 - u**3 - 2*u**4 = 0. Calculate u.
-1, 0, 1
Let y(c) be the third derivative of c**9/37800 - c**8/8400 + c**7/6300 + 19*c**4/24 - 15*c**2. Let l(p) be the second derivative of y(p). Factor l(u).
2*u**2*(u - 1)**2/5
Find r such that -4/5*r + 2/5*r**5 - 26/5*r**2 + 2/5*r**3 + 2*r**4 + 16/5 = 0.
-4, -2, -1, 1
Let x(d) be the first derivative of d**5/20 + 11*d**4/16 - d**3 + 791. Factor x(k).
k**2*(k - 1)*(k + 12)/4
Factor 16/23*f**2 + 32/23 + 2/23*f**3 + 40/23*f.
2*(f + 2)**2*(f + 4)/23
Let n = -22688/5 + 4544. Factor n + 72/5*z**2 + 16*z + 28/5*z**3 + 4/5*z**4.
4*(z + 1)*(z + 2)**3/5
Factor 3*o**2 - 604*o + 45602 - 4*o**2 + o**2 - 7*o**2 + 9*o**2.
2*(o - 151)**2
Let t(n) be the third derivative of n**9/272160 - n**8/45360 + n**7/22680 + 7*n**5/30 - 6*n**2. Let k(j) be the third derivative of t(j). Factor k(h).
2*h*(h - 1)**2/9
Let d(q) be the second derivative of -1/34*q**4 + 2/17*q**2 + 1/170*q**5 - 11*q + 1/255*q**6 - 1/51*q**3 + 0. Find n such that d(n) = 0.
-2, -1, 1
Let i = 24 + -22. Suppose -2*p - p + i*p - 2*p**2 - 7*p = 0. What is p?
-4, 0
Let m = -530/27 - -2731/135. Suppose -1/5*f**2 - m*f + 4/5 = 0. Calculate f.
-4, 1
Let t(q) = -6*q**2 - 42*q - 200. Let z(h) = -26*h**2 - 169*h - 800. Let n(p) = -9*t(p) + 2*z(p). Factor n(r).
2*(r + 10)**2
Let w(z) = z**2 + 14*z + 18. Let f be w(-13). Suppose -4*b = m - 5, f*b + 2*m + 5 = -3*m. Determine j so that 0*j + 2/3 - 2/3*j**b = 0.
-1, 1
Let n(x) be the third derivative of -7*x**2 + 0*x + 1/30*x**4 - 1/150*x**5 + 0 + 1/5*x**3. Find z such that n(z) = 0.
-1, 3
Suppose 2*o + 168 = 3*c + 170, 0 = -3*c + o + 2. What is d in -21/2*d + 3 + 15/2*d**c = 0?
2/5, 1
Factor 23/8*l + 7/4 + 1/8*l**3 + 5/4*l**2.
(l + 1)*(l + 2)*(l + 7)/8
Let p(c) be the second derivative of c**7/70 + c**6/10 + 27*c**5/100 + 7*c**4/20 + c**3/5 - c - 5. Factor p(j).
3*j*(j + 1)**3*(j + 2)/5
Suppose -10 = i - 22. Let n be i/21 - (15/21 + -1). Solve -6/7*k**3 + 4/7*k - 2*k**4 - 6/7*k**5 + n*k**2 + 0 = 0.
-1, 0, 2/3
Factor -29*h + 13*h - 18*h**2 - 44*h - 40 - 5*h**3 - 12*h**2.
-5*(h + 2)**3
Suppose -k - 6 = -4*k. Let u(c) = c**2 + 7*c + 8. Let j be u(-6). Suppose 3 + k*s**j - 5*s - s + 1 = 0. What is s?
1, 2
Let p be 4/8*(-13 - -17). Let a(w) be the first derivative of 4*w - 3 - 1/5*w**5 - w**3 - w**4 + 2*w**p. Factor a(d).
-(d - 1)*(d + 1)*(d +