/2
What is s in -19*s + 3*s + 115*s**2 - 35*s**3 - 355*s**2 + 39*s**3 - 228*s = 0?
-1, 0, 61
Let s(l) = l - 2*l + 2 + 0*l + 0*l. Let v be s(-5). Find u such that 3*u**2 - 7 - 6*u + v = 0.
0, 2
Let s(p) be the third derivative of -p**5/3 + 3*p**4/2 + 4*p**3/3 + 19*p**2 + 3*p. Factor s(v).
-4*(v - 2)*(5*v + 1)
Suppose 6*l = -0 + 60. Let h be (-35)/14*(-16)/l. Solve 5/3*v**3 + 3*v**2 + 7/3*v + 2/3 + 1/3*v**h = 0.
-2, -1
Let i(o) = -o**3 - o**2 + o. Let w(g) = 0*g**2 - 6*g**2 - 167*g - 4*g**3 + 168*g. Let v(s) = -15*i(s) + 5*w(s). Determine y so that v(y) = 0.
-2, -1, 0
Let h(v) = 4*v**2 - 72*v - 73. Let k(q) = -10*q**2 + 144*q + 147. Let d(z) = -7*h(z) - 3*k(z). Factor d(x).
2*(x + 1)*(x + 35)
Let z(b) be the first derivative of b**3 - 3*b + 5. Let u(t) = -t**4 + 4*t**2 - 4. Let q(f) = -3*u(f) + 4*z(f). Factor q(l).
3*l**4
Factor -8*k**2 + 32/3 + 4/9*k**4 - 16/9*k - 4/3*k**3.
4*(k - 6)*(k - 1)*(k + 2)**2/9
Let u(s) be the third derivative of s**8/168 - s**6/60 + 31*s**2. Factor u(f).
2*f**3*(f - 1)*(f + 1)
Let a(u) be the first derivative of -3/4*u**4 + 0*u + 6 + 3/5*u**5 - u**3 + 3/2*u**2. Find r such that a(r) = 0.
-1, 0, 1
Let b(t) = t**2 - 12*t + 11. Let p be b(11). Suppose 9*q - 4*q = p. Factor 3*a + a**3 + 1 - a + q*a + a + 3*a**2.
(a + 1)**3
Suppose 72 - 28*b**2 + 60 - 124 + 20*b = 0. What is b?
-2/7, 1
Factor -3*f**4 - 8*f**2 + f**4 + 5*f**3 - f**2 + f**4 - 4*f - 11*f**3.
-f*(f + 1)**2*(f + 4)
Let g(q) = -16*q**5 - 686*q**4 - 8066*q**3 - 11080*q**2 - 5376*q - 882. Let v(u) = -u**4 - u**3 - u**2. Let z(r) = 2*g(r) + 20*v(r). Factor z(x).
-4*(x + 21)**2*(2*x + 1)**3
Find a, given that -3/4*a**2 + 1/12*a**3 - 4/3 + 2*a = 0.
1, 4
Let i(l) = -l + 10. Let z be i(6). Suppose z + 4 = 2*g. Let 2*f**3 + f**3 + f - g*f = 0. What is f?
-1, 0, 1
Let q(z) be the third derivative of -1/560*z**7 + 0 + 1/24*z**3 + 13*z**2 + 0*z - 1/960*z**6 + 3/64*z**4 + 3/160*z**5. What is p in q(p) = 0?
-1, -1/3, 2
Let o(m) be the first derivative of -2*m**6 + 237*m**5/5 - 282*m**4 - 179*m**3 + 570*m**2 + 300*m - 329. Suppose o(y) = 0. What is y?
-1, -1/4, 1, 10
Let w(n) be the first derivative of n**6/14 + 18*n**5/7 + 165*n**4/14 + 160*n**3/7 + 45*n**2/2 + 78*n/7 - 154. Solve w(v) = 0.
-26, -1
Factor 9*h - 27/2 - 9*h**3 + 3/2*h**4 + 12*h**2.
3*(h - 3)**2*(h - 1)*(h + 1)/2
Factor 77 + 8*r**3 - 77 + 8*r - 6*r**3 - 10*r**2.
2*r*(r - 4)*(r - 1)
Let a(h) be the first derivative of -3*h**4/16 + 3*h**3/4 + 3*h**2/2 - 9*h + 168. What is w in a(w) = 0?
-2, 2, 3
Let m be 1 - (-3 - (-5 - -3)). Factor 5*u + 5*u**2 - m - 4*u**2 - 3*u - u.
(u - 1)*(u + 2)
Let x be ((-8)/(-196))/(5*(-15)/(-175))*6. Determine d so that 2/7*d**3 + 0 + 2/7*d**2 - x*d = 0.
-2, 0, 1
Let z(k) = k**3 - 18*k**2 + k - 18. Let q be z(18). Suppose q = -4*f - 16, 30 - 1 = 3*x - 5*f. Solve 1/2*w**x - 1/2*w + 1/2*w**2 - 1/2 = 0.
-1, 1
Factor -359*m**2 + 94*m**2 + 5*m**3 + 0*m**3 - 545*m - 275.
5*(m - 55)*(m + 1)**2
Let n = 475 - 473. Let c(q) be the first derivative of -1/4*q**3 + 1/4*q**n + 3 + 0*q - 1/8*q**4. Factor c(v).
-v*(v + 2)*(2*v - 1)/4
Solve 60 - 37*q + 42*q + 58*q**2 - 63*q**2 = 0.
-3, 4
Let k(z) be the second derivative of z**4/24 + 11*z**3/3 + 121*z**2 + 290*z. Solve k(r) = 0.
-22
Let q(h) = -4*h**5 - 4*h**4 + 20*h**3 - 16*h**2 - 4. Let x(g) = -8*g**5 - 8*g**4 + 40*g**3 - 33*g**2 - 9. Let s(w) = 9*q(w) - 4*x(w). Factor s(i).
-4*i**2*(i - 1)**2*(i + 3)
Let 39/7*y**2 - 3/7*y**3 + 108/7 - 120/7*y = 0. What is y?
2, 9
Let m = 141/85 - 18/17. Factor 0*t + 0*t**2 + 6/5*t**3 + 0 + m*t**4.
3*t**3*(t + 2)/5
Let p be (-244)/(-915)*(-20)/(-32). Factor 1/3 - 1/6*s - p*s**2.
-(s - 1)*(s + 2)/6
Let j(x) = -x**2 - 572*x + 2*x**2 + 572*x. Let q = 3 + 4. Let w(y) = 2*y**2 - y + 1. Let p(b) = q*j(b) - 4*w(b). Factor p(h).
-(h - 2)**2
Solve -16/5*n**3 - 32/5 - 64/5*n - 48/5*n**2 - 2/5*n**4 = 0.
-2
Let w = 8916 - 8916. Find p, given that -4/21*p**4 - 2/21*p - 8/21*p**2 - 10/21*p**3 + w = 0.
-1, -1/2, 0
Let a(c) = 3*c**4 - 59*c**3 - 178*c**2 - 151*c. Let o(d) = -4*d**4 + 60*d**3 + 176*d**2 + 152*d. Let q(r) = 8*a(r) + 7*o(r). Suppose q(f) = 0. Calculate f.
-6, -1, 0
Let c(a) be the second derivative of 0*a**2 + 0*a**3 + 10 - 1/24*a**4 - 2/5*a**5 - a. Factor c(n).
-n**2*(16*n + 1)/2
Let a = 48 + -46. Let p(s) be the first derivative of -2*s**2 - 3 - 5/6*s**3 + a*s. Suppose p(l) = 0. Calculate l.
-2, 2/5
Find p such that -3/7*p**4 + 0 - 9/7*p - 15/7*p**3 - 3*p**2 = 0.
-3, -1, 0
Let o(g) be the first derivative of -3*g**3 - 3/4*g**4 - 3*g**2 + 37 + 0*g. Determine m, given that o(m) = 0.
-2, -1, 0
Let q = -153169/35 - -4379. Let c = 18/5 - q. Factor 9/7*n**4 + c*n**3 + 0*n - 3/7*n**2 + 0.
3*n**2*(n + 1)*(3*n - 1)/7
Let b(c) be the first derivative of 1/5*c**5 - 1/42*c**6 - 2/7*c**2 - 15/28*c**4 + 0*c + 5 + 13/21*c**3. Factor b(p).
-p*(p - 4)*(p - 1)**3/7
Let j(l) be the second derivative of l**5/30 + l**4/4 + 2*l**3/3 + 19*l**2/2 + 2*l + 2. Let m(w) be the first derivative of j(w). Factor m(a).
2*(a + 1)*(a + 2)
Find b such that -19/2*b**2 - 29/2*b - 3 + 2*b**3 = 0.
-1, -1/4, 6
Suppose -7*s - 4*s = 4*s. Let k(u) be the first derivative of -1/8*u**4 + 5 + s*u + 0*u**2 - 1/5*u**5 - 1/12*u**6 + 0*u**3. Determine b, given that k(b) = 0.
-1, 0
Let m(a) = a**3 + a**2 - 3*a + 19. Let g be m(-6). Let b = 865/6 + g. Factor b*f**4 + 0*f - 1/6*f**2 + 2/3*f**5 + 1/3*f**3 + 0.
f**2*(f + 1)**2*(4*f - 1)/6
Let p(j) be the first derivative of -7*j**5 + 75*j**4/4 - 5*j**3/3 - 75*j**2/2 + 40*j + 178. Determine x so that p(x) = 0.
-1, 1, 8/7
Let k(t) be the second derivative of 3*t**5/40 - 5*t**4 - 497*t. Factor k(f).
3*f**2*(f - 40)/2
Let r(n) = -11*n**2 - 1452*n + 2. Let y be r(-132). Factor 0 - 2*q + 10/3*q**y - 14/9*q**3 + 2/9*q**4.
2*q*(q - 3)**2*(q - 1)/9
Let r be (-180404)/(-216030) - (-2)/(-57). Let 1/5*z**4 + 0 + 4/5*z**3 - 1/5*z**2 - r*z = 0. Calculate z.
-4, -1, 0, 1
Let o(j) be the third derivative of j**10/5670 - j**8/6720 + j**7/15120 + 5*j**4/12 + 11*j**2. Let t(f) be the second derivative of o(f). Factor t(d).
d**2*(2*d + 1)*(4*d - 1)**2/6
Let s be (1 - 2)/(2/2). Let n be 2/2*s + 4. Factor -3*m - 4*m**2 + 2*m**2 - n*m + 11*m**2 - 3*m**3.
-3*m*(m - 2)*(m - 1)
Let g(z) = -5*z - 39. Let j be g(-7). Let p(o) = 3*o**2 - 8*o + 1. Let q(h) = -2*h**2 + 7*h - 2. Let f(c) = j*q(c) - 3*p(c). Let f(w) = 0. Calculate w.
-5, 1
Let d(r) be the first derivative of 2/9*r + 42 + 4/27*r**3 - 1/36*r**4 - 5/18*r**2. Factor d(s).
-(s - 2)*(s - 1)**2/9
Let a(y) be the third derivative of 0*y**6 + 1/70*y**7 - 1/5*y**5 + 0*y - 9*y**2 + 0 + 0*y**4 + 0*y**3. Solve a(w) = 0 for w.
-2, 0, 2
Let l(y) be the first derivative of y**4 + 10*y**3/3 - 11*y**2 - 18*y - 8. Let n(t) = t**2 - t - 1. Let j(a) = l(a) - 10*n(a). Find r such that j(r) = 0.
-1, 2
Let l be 2/(-2 + ((-360)/52)/5). Let p = 83/66 + l. Factor 0*r + p*r**4 + 0 - 2/3*r**3 - 4/3*r**2.
2*r**2*(r - 2)*(r + 1)/3
Let m = -587 + 587. Let x(b) be the second derivative of m*b**3 + 0 - 1/2*b**4 + 3/20*b**5 - 6*b + 0*b**2. Factor x(w).
3*w**2*(w - 2)
Let b(x) be the third derivative of -x**5/90 - 11*x**4/36 + 4*x**3/3 - 36*x**2. Factor b(m).
-2*(m - 1)*(m + 12)/3
Let d be 5 - 1 - (-3)/9*-6. Factor 107*p**2 - 64*p - 71*p**2 - 32 - d*p**4 - 16*p**3 - 84*p**2.
-2*(p + 2)**4
Let m be ((-2)/4)/((-8)/(6 - -2)). What is t in -1/2*t**4 + 1/2*t**5 - t**3 + t**2 - m + 1/2*t = 0?
-1, 1
Suppose 122 = -5*h + 132. Let t(u) be the second derivative of 0*u**3 + 1/12*u**4 + h*u + 0 + 0*u**2. Factor t(w).
w**2
Let l(s) = s - 2. Let k = -1 - -5. Let x be l(k). Factor 3*d - x*d**2 + 2*d + 0*d**2 + d.
-2*d*(d - 3)
Let y(u) be the second derivative of -u**4/96 + 11*u**3/48 + 13*u**2/8 - 166*u - 2. Let y(p) = 0. What is p?
-2, 13
Factor -11/2 + 5*k + 1/2*k**2.
(k - 1)*(k + 11)/2
Suppose -3*d = d - c - 11, 0 = -3*d + c + 8. Suppose 0 = -f + z, d*f + 7*z - 2*z = 16. Factor -3/7*q - 6/7*q**f + 0 - 3/7*q**3.
-3*q*(q + 1)**2/7
Let g(d) be the third derivative of -d**7/1680 + d**6/96 + d**5/160 - 7*d**4/48 - 5*d**3/12 + 5*d**2 + 27. Determine k so that g(k) = 0.
-1, 2, 10
Let g(q) = -2*q**3 - 2*q**2 + 53*q - 40. Let y(k) = -5*k**3 - 5*k**2 + 160*k - 120. Let h(s) = 10*g(s) - 3*y(s). Factor h(f).
-5*(f - 2)*(f - 1)*(f + 4)
Let d(z) be the third derivative of z**5/240 + 11*z**4/96 + 5*z**3/12 - z**2 + 47*z. Factor d(a).
(a + 1)*(a