+ 8 = -3*t. Suppose t*c**4 + 0 + 0*c**2 + 5/4*c**5 - 5/2*c**3 + 5/4*c = 0. What is c?
-1, 0, 1
Let m = -9479/60 - -158. Let p(s) be the third derivative of -1/50*s**5 + m*s**4 + 0*s**3 + 0*s + 0 - 1/525*s**7 + 1/100*s**6 - s**2. Factor p(o).
-2*o*(o - 1)**3/5
Let s(f) be the third derivative of -f**6/60 + f**5/6 - f**4/2 - 30*f**2 + 5*f. Let s(i) = 0. Calculate i.
0, 2, 3
Suppose 0 + 2/3*f**3 + 0*f - 76/3*f**2 = 0. What is f?
0, 38
Factor 5*w**3 - 9*w**3 + 340*w**2 - 4*w - 332*w**2.
-4*w*(w - 1)**2
Find m such that 216*m**2 - 107*m**2 - 105*m**2 - 2*m**3 = 0.
0, 2
Let n(k) be the first derivative of k**4 - 8*k**2 - 83. Factor n(s).
4*s*(s - 2)*(s + 2)
Let x = 4 + 1. Suppose -x*h + 131 = 31. Find b such that -2*b**3 + 9 + h*b**2 + 8 - 2*b**3 - 28*b - 5 = 0.
1, 3
Let w be (1080/200)/(7/5). What is r in 3/7*r**4 + 72/7*r + 66/7*r**2 + 24/7*r**3 + w = 0?
-3, -1
Let g(r) be the first derivative of r**3/27 - 38*r**2/9 + 611. Factor g(w).
w*(w - 76)/9
Let z be -3 + (5 - 1 - -2). Let d(i) be the first derivative of 2/21*i**z + 3 + 0*i - 2/35*i**5 + 1/14*i**4 - 1/7*i**2. Let d(f) = 0. What is f?
-1, 0, 1
Factor 22/3*g + 0 - 2/3*g**3 - 20/3*g**2.
-2*g*(g - 1)*(g + 11)/3
Let d(t) = t**3 - 2*t**2 + 4*t - 4. Let b be d(2). Find l such that 2*l**3 - 5*l**3 - l**3 - l**4 - 2*l**2 - l**b = 0.
-1, 0
Let a(d) be the first derivative of 5*d**6/6 - 6*d**5 + 65*d**4/4 - 20*d**3 + 10*d**2 - 8. Factor a(l).
5*l*(l - 2)**2*(l - 1)**2
Suppose 19 = 28*x - 37. Let s(d) be the second derivative of 0 - 5/8*d**3 - 3/80*d**5 - 3/4*d**x - 1/4*d**4 + d. Find l, given that s(l) = 0.
-2, -1
Suppose -16 = -2*n - n - 2*g, 0 = 3*n - 4*g + 14. Let w be 25/15*(-6)/(-60)*36. Let 5*m + w + 1 - 5 - 2*m**2 - m**n = 0. What is m?
-1/3, 2
Let i = 2 + 1. Let f = 1 + i. Find j such that 6*j**2 + 0 - 3*j - f*j**5 - 6*j**4 + 0 + 7*j**5 = 0.
-1, 0, 1
Let o(t) be the first derivative of 3*t**4/4 - 6*t**3 - 3*t**2/2 + 18*t - 122. Find c, given that o(c) = 0.
-1, 1, 6
Let b(v) be the third derivative of v**7/3780 - v**5/45 - v**4/3 + v**2. Let x(d) be the second derivative of b(d). Factor x(q).
2*(q - 2)*(q + 2)/3
Let d(w) be the third derivative of -w**6/840 - w**5/70 - 3*w**4/56 - w**3/2 + 2*w**2. Let t(n) be the first derivative of d(n). Find p, given that t(p) = 0.
-3, -1
Let k(v) be the first derivative of -5*v**4/4 + 187*v**3/3 + 58*v**2 - 76*v + 171. Solve k(h) = 0.
-1, 2/5, 38
Let c(o) = -2*o**5 - 16*o**4 - 22*o**3 + 6*o**2 + 34*o. Let l(m) = -m**5 - 2*m**4 + m**3 + 2*m. Let k(g) = -c(g) + 5*l(g). Determine u, given that k(u) = 0.
-2, -1, 0, 1, 4
Let f(d) be the first derivative of 33*d**4 + 208*d**3/3 + 34*d**2 - 8*d + 77. Factor f(s).
4*(s + 1)*(3*s + 2)*(11*s - 1)
Let -162 - 15/2*s**5 + 231/2*s**3 - 432*s - 45/2*s**2 + 9/2*s**4 = 0. Calculate s.
-3, -2, -2/5, 3
Factor -4*y**4 + 54*y**2 + 1/2*y**5 - 351/2*y + 162 + 3*y**3.
(y - 3)**4*(y + 4)/2
Factor -8*j**2 + 36/7*j**3 - 4/7*j**4 + 0 + 0*j.
-4*j**2*(j - 7)*(j - 2)/7
Find f such that 137*f**3 - 2*f**2 + 5*f + 139*f**3 + 5*f**4 + 0*f - 281*f**3 - 3*f**2 = 0.
-1, 0, 1
Let i = -54/43 + 313/215. Solve i*h - 1/5*h**3 - 1/5*h**2 + 0 + 1/5*h**4 = 0.
-1, 0, 1
Let v(s) = -2*s**3 + 7*s**2 + 9*s. Let l(h) = h**3 - 4*h**2 - 5*h. Let i(q) = 5*l(q) + 3*v(q). Suppose i(d) = 0. What is d?
-1, 0, 2
Let o(f) = -4*f**5 - 6*f**4 - 18*f**3 - 10*f**2 - 3. Let w(x) = -7*x**5 - 14*x**4 - 37*x**3 - 20*x**2 - 5. Let c(l) = -5*o(l) + 3*w(l). Factor c(v).
-v**2*(v + 1)**2*(v + 10)
Let y(a) = a**3 - 5*a**2 + 4*a + 3. Let c be y(4). Factor v**5 + v**c + v**4 + 0*v**2 + 0*v**4 - v**2 - 2*v**3.
v**2*(v - 1)*(v + 1)**2
Let g be (-3)/6*(3 - 9). Suppose 8 = g*x - 16. Determine y, given that 0*y**3 - 21 - 3 - 28*y - 18*y**2 - 3*y**3 - x*y = 0.
-2
Suppose -11*a - 3918 = -3940. Find g such that 0 + 4/3*g**a + 4/3*g + 1/3*g**3 = 0.
-2, 0
Let u be 74/40 + (37/(-12)*3 - -8). What is q in 1/5*q**2 + 2/5 + u*q = 0?
-2, -1
Let m(h) be the first derivative of -13 + 1/13*h**4 + 0*h**2 + 2/13*h - 2/13*h**3. Solve m(s) = 0.
-1/2, 1
Let x(a) = -4*a**2 + 97*a - 2800. Let l(n) = 9*n**2 - 191*n + 5597. Let y(h) = -3*l(h) - 7*x(h). Factor y(v).
(v - 53)**2
Let r be 1*4/2*(-36)/8. Let h be 8/6*(r + 10). Suppose 8/3*a**2 - 2*a**4 - h*a**3 - 2/3 + 4/3*a = 0. Calculate a.
-1, 1/3, 1
Let l(p) be the second derivative of -p**5/18 + 23*p**4/54 - 10*p**3/27 - 8*p**2/9 + 4*p + 9. Solve l(d) = 0.
-2/5, 1, 4
Factor 0 + 3/4*p**3 - 3/8*p**4 - 3/4*p + 3/8*p**2.
-3*p*(p - 2)*(p - 1)*(p + 1)/8
Suppose 0 = x - 4*h - 19, -2*x - h = 3*x - 11. Let t(a) be the first derivative of -6*a**2 - 4 + 8*a + 4/3*a**x. Factor t(v).
4*(v - 2)*(v - 1)
Let l(t) = 3*t**2 - 110*t - 37. Let o be l(37). Factor -1/5*b**4 + 0*b**2 + 0*b**3 + 0 + o*b.
-b**4/5
Factor -3/7*y**3 - 8745/7*y + 321/7*y**2 + 8427/7.
-3*(y - 53)**2*(y - 1)/7
Let y be 201/90 - 110/60. Factor -3/5*u**4 + 0 + 2/5*u + y*u**3 + 7/5*u**2.
-u*(u - 2)*(u + 1)*(3*u + 1)/5
Suppose -29*s = -16*s - 39. Factor -24/5*d + 3*d**2 - 3/5*d**s + 12/5.
-3*(d - 2)**2*(d - 1)/5
Factor -2*m**4 + 44*m**2 - 28*m - 28*m**3 + 6 + m**3 + 3*m**3 + 4*m**5.
2*(m - 1)**3*(m + 3)*(2*m - 1)
Suppose -4*x = 3*d - 9, -2*d - 29*x = -25*x - 6. Let u(o) be the second derivative of -1/24*o**4 + 0 + 1/3*o**3 - d*o - 3/4*o**2. Solve u(c) = 0 for c.
1, 3
Let j(m) be the second derivative of m**7/1260 + m**6/90 + m**5/15 - 11*m**4/12 - 8*m. Let v(c) be the third derivative of j(c). Factor v(b).
2*(b + 2)**2
Let v = -733/774690 - -6/3689. Let x(r) be the third derivative of -1/21*r**3 + 1/420*r**5 + 1/280*r**6 + 0 + 3*r**2 + v*r**7 - 1/56*r**4 + 0*r. Factor x(f).
(f - 1)*(f + 1)**2*(f + 2)/7
Factor -40*s + 300 + 4/3*s**2.
4*(s - 15)**2/3
Let a = 552 + -550. Let y(l) be the first derivative of 1/16*l**4 + 0*l**2 + 0*l - a + 0*l**3. Determine h so that y(h) = 0.
0
What is v in -2/15*v**3 + 0 + 8/15*v + 2/5*v**2 = 0?
-1, 0, 4
Suppose 0*a = -5*a + 45. Solve 15*j**2 + 5 + 15*j - 3*j**3 + 17*j**3 + 0 - a*j**3 = 0.
-1
What is i in -i**4 - 3*i**2 - 18 + 17*i - 14*i**2 + 7*i**3 + 12 = 0?
1, 2, 3
Suppose 0 = -3*l - 0*k - 2*k + 35, l - 2*k = 25. Let v = -10 + l. Determine x so that -3*x**3 - v*x**2 - 8*x**2 + 13*x**2 + 3*x = 0.
-1, 0, 1
Let h(a) be the first derivative of 0*a + 3/32*a**4 - 1/4*a**3 + 3/16*a**2 - 13. Solve h(m) = 0 for m.
0, 1
Let r = -92 + 95. Suppose q - 3*q = -r*v + 6, q = v - 2. Factor 1/4*a**2 + q + 0*a.
a**2/4
Let r be 46/207 - (0 - (-20546)/4356). Let z = 2/363 - r. Factor z*c - 1/4 - 81/4*c**2.
-(9*c - 1)**2/4
Let s(g) be the second derivative of 0 - 1/18*g**4 + 2/9*g**3 + 10*g - 1/3*g**2. Factor s(h).
-2*(h - 1)**2/3
Let i be 4/22 + (-324)/(-33). Suppose 7*o - 25 = i. Factor -3/7*m**o + 0*m + 6/7*m**2 + 0*m**4 + 9/7*m**3 + 0.
-3*m**2*(m - 2)*(m + 1)**2/7
Determine q, given that 408*q - 7677*q**3 - 35 + 35 - 1134*q**4 + 941*q**2 - 84 + 904*q**2 + 42*q**2 = 0.
-7, -2/9, 1/6, 2/7
Let j = -48 - -50. Let m(a) be the first derivative of 4*a**5 - 44/3*a**3 + 16*a + 4/3*a**6 + 8*a**j + 2 - 4*a**4. What is f in m(f) = 0?
-2, -1/2, 1
Let s = -17 + 17. Suppose s = 2*h + 6 - 20. Factor 3*o**2 + h + 1 - 5*o + 1 - 7*o.
3*(o - 3)*(o - 1)
Let x(o) be the third derivative of -o**7/210 + 3*o**6/20 - 4*o**5/3 - 3*o**4/4 + 27*o**3/2 - 18*o**2. Factor x(d).
-(d - 9)**2*(d - 1)*(d + 1)
Let y(m) be the third derivative of -m**6/120 + m**5/4 - 25*m**4/8 - m**3/6 - 9*m**2. Let l(x) be the first derivative of y(x). Suppose l(n) = 0. What is n?
5
Let f(h) = -7*h**2 + 7*h + 8. Let z(i) = 5*i**2 - 5*i - 5. Suppose 4*r - g = 3*g - 16, 2*g = 4*r + 18. Let q(c) = r*f(c) - 8*z(c). Factor q(k).
-5*k*(k - 1)
Let w = 8 - 1. Let h(x) be the third derivative of -1/20*x**6 + 1/9*x**4 + 0*x**3 + 0 + 2/15*x**5 + 0*x - 1/45*x**w - 3*x**2. Determine v, given that h(v) = 0.
-2, -2/7, 0, 1
Let n be -17 - -18 - 6/(-6). Let -8/9*d**n + 2/9 + 2/3*d = 0. What is d?
-1/4, 1
Let p(j) = -10*j + 10. Let z be p(1). Solve 0*l + 0*l**3 + 1/3*l**4 - 1/3*l**2 + z = 0.
-1, 0, 1
Let j(v) be the third derivative of v**6/288 + v**5/240 + 19*v**3/3 + 31*v**2. Let k(i) be the first derivative of j(i). Factor k(p).
p*(5*p + 2)/4
Factor 0 - 2*f**2 - 8/5*f.
-2*f*(5*f + 4)/5
Let h(v) be the first derivative of -v**3 + 6 - 3/5*v**5 - 3/2*v**4 + 0*v**2 + 0*v. Factor h(k).
-3*k**2*(k + 1)**2
Let p(a) be the third derivative of -a**7/70 - 3*a**6/40 +