 Suppose -2/5*c**p + 0*c - 4/5*c**3 - 2/5*c**2 + 0 = 0. What is c?
-1, 0
Determine t so that 2/3*t**2 + 10/3 + 4*t = 0.
-5, -1
Let m = 10 - 6. Factor q**2 + 1 - 7*q**2 - 4*q - 8*q**4 + 1 + 8*q**3 + 16*q**m.
2*(q + 1)**2*(2*q - 1)**2
Suppose -9 = -3*o - d, -5*o + 2*d + 3 = -4*o. Let h(v) be the first derivative of 0*v**2 + 1/3*v**o - v - 2. Factor h(c).
(c - 1)*(c + 1)
Let d(n) be the first derivative of n**6/3 + 8*n**5/5 + 5*n**4/2 + 4*n**3/3 + 11. What is y in d(y) = 0?
-2, -1, 0
Let t(g) be the second derivative of -g**4/4 + g**3 - 3*g**2/2 + 2*g. Solve t(u) = 0 for u.
1
Let b(x) = -x - 3. Let q be b(3). Let v(g) = 9 - 6*g**2 + 4 - 6 - g**2. Let d(j) = -8*j**2 + 8. Let h(z) = q*v(z) + 5*d(z). Factor h(f).
2*(f - 1)*(f + 1)
Let k(h) be the third derivative of 3/10*h**5 + 1/2*h**3 - 1/2*h**4 + 0 + 1/70*h**7 - 1/10*h**6 + 2*h**2 + 0*h. Determine m, given that k(m) = 0.
1
Let z = -16 - -18. What is v in -31*v**2 + 29*v**2 + z*v**3 - v**3 = 0?
0, 2
Factor 0 + 15/2*f**2 - 3*f.
3*f*(5*f - 2)/2
Let x be 6/(-2) + ((-12)/30 - -4). Solve x*c**2 + 1/5 - 1/5*c**3 - 3/5*c = 0.
1
Let g(b) be the third derivative of -b**6/24 + b**5/6 - 5*b**4/24 + 9*b**2. Factor g(u).
-5*u*(u - 1)**2
Factor -16/7 - 1/7*y**2 + 8/7*y.
-(y - 4)**2/7
Factor 0 + 2/5*r**5 - 2*r**2 + 2/5*r**4 - 6/5*r**3 - 4/5*r.
2*r*(r - 2)*(r + 1)**3/5
Factor 57*l**2 + 0 + 0 + 8*l - 53*l**2.
4*l*(l + 2)
Solve -9*q**3 - 4*q - q**2 + 3*q**3 + 4 + 7*q**3 = 0 for q.
-2, 1, 2
Let x(j) be the second derivative of -2*j**6/105 - 2*j**5/35 - j**4/21 + 6*j. Factor x(s).
-4*s**2*(s + 1)**2/7
Let a(d) be the third derivative of d**5/240 + 7*d**4/96 - 2*d**2 - 9*d. Determine q, given that a(q) = 0.
-7, 0
Let n(c) be the second derivative of c**4/30 - 2*c**3/15 + c**2/5 - c. Factor n(h).
2*(h - 1)**2/5
Let x(o) = 10*o**2 + 30*o + 25. Let r(b) = -5*b**2 - 15*b - 12. Let z(c) = -5*r(c) - 2*x(c). Find k, given that z(k) = 0.
-2, -1
Determine f so that -4*f**3 + 20*f + 3*f**2 + 5*f**4 - 23*f**2 - f**3 = 0.
-2, 0, 1, 2
Suppose -3001*f**2 + 4 + 2997*f**2 - 5*f + 2*f**3 + 3*f = 0. What is f?
-1, 1, 2
Let y(o) be the first derivative of 1/6*o**4 + 4*o - o**2 + 3 + 1/10*o**5 - 1/3*o**3. Let l(f) be the first derivative of y(f). Solve l(c) = 0 for c.
-1, 1
Let r(u) = 6*u**4 - 6*u**2 - 3. Let i(s) = -5*s**4 - s**3 + 5*s**2 + s + 4. Let c(g) = 3*i(g) + 4*r(g). Factor c(n).
3*n*(n - 1)*(n + 1)*(3*n - 1)
Let j(d) = -3*d**3 - d**2 - d. Let l be -2*(9/(-6))/(-3). Let q be j(l). Factor 1/4*f**2 + 1/4*f**q + 0*f + 0.
f**2*(f + 1)/4
Let b(u) = 2*u**2 + 12*u + 20. Let i(x) = 1. Let h(y) = 2. Let n(f) = 2*h(f) - 5*i(f). Let s(v) = b(v) + 2*n(v). Let s(t) = 0. Calculate t.
-3
Let b(x) be the second derivative of x**7/945 - x**6/180 + x**5/90 - x**4/108 - 3*x**2/2 - x. Let a(l) be the first derivative of b(l). What is i in a(i) = 0?
0, 1
Find s, given that -10/17*s + 2/17*s**3 + 4/17*s**2 - 12/17 = 0.
-3, -1, 2
Let d(h) = 7*h**4 - 11*h**3 - 3*h**2 + 6*h + 1. Let a = 2 - -2. Let s(j) = 3*j**4 - 5*j**3 - j**2 + 3*j. Let m(u) = a*d(u) - 10*s(u). Solve m(x) = 0.
-1, 1, 2
Let c(k) be the second derivative of -3*k**5 - k + 0 + 37/6*k**4 - 20/3*k**3 + 4*k**2 + 3/5*k**6. Factor c(u).
2*(u - 1)**2*(3*u - 2)**2
Let z(q) be the third derivative of 9*q**7/140 - 17*q**6/40 + 7*q**5/10 + q**4/2 - 2*q**2. Factor z(c).
3*c*(c - 2)**2*(9*c + 2)/2
Factor 4*z**3 - 2*z**3 - 8*z**3 - 18*z - 20*z**2 - 4.
-2*(z + 1)*(z + 2)*(3*z + 1)
Let a = 5/7 - 13/28. Factor 1/4*d**3 - a*d + 0 + 0*d**2.
d*(d - 1)*(d + 1)/4
Let w be ((-15)/8)/(15/(-20)). Let b be 0*((-2)/4)/(-1). Factor b + 2*t + 17/2*t**3 - w*t**4 - 8*t**2.
-t*(t - 2)*(t - 1)*(5*t - 2)/2
Let c(a) be the second derivative of 0*a**2 - 1/12*a**3 + 1/40*a**5 + 1/48*a**4 - 1/120*a**6 + 5*a + 0. Factor c(b).
-b*(b - 2)*(b - 1)*(b + 1)/4
Suppose -2*u = -6, 3*q - 12 = -2*q + u. Suppose -q*o = -2*o. Factor -2/3*k - 2/3*k**3 + o - 4/3*k**2.
-2*k*(k + 1)**2/3
Factor -1/3*a**2 + 16/3*a - 64/3.
-(a - 8)**2/3
Let j(o) be the first derivative of 2/45*o**3 + 1/15*o**2 + 0*o - 5. Factor j(l).
2*l*(l + 1)/15
Let w(r) = 3*r**2 + 10*r - 6. Let g be w(-4). Let h(k) be the first derivative of -4*k + 10*k**g - 17/3*k**3 - 1 + k**4. Find a, given that h(a) = 0.
1/4, 2
Factor 4*k**2 + k - 4*k**4 - 2*k - k + 4*k**3 - 2*k**3.
-2*k*(k - 1)*(k + 1)*(2*k - 1)
Let h(o) be the second derivative of 0 - 1/42*o**4 - 2*o + 1/7*o**2 + 0*o**3. Find p, given that h(p) = 0.
-1, 1
Let c = 2 + -1. Let j be (6/75)/c*45. Factor -j*n + 4/5 + 14/5*n**2.
2*(n - 1)*(7*n - 2)/5
Let i(s) be the second derivative of 1/24*s**3 - 1/48*s**4 - 3*s + 0 + 0*s**2. Let i(b) = 0. What is b?
0, 1
Let z(l) be the second derivative of l**4/8 - 7*l**3/4 + 15*l**2/2 + 18*l. Factor z(q).
3*(q - 5)*(q - 2)/2
Let b(u) be the third derivative of 0*u**4 - 1/8*u**3 + 0 - u**2 + 0*u + 0*u**6 - 1/280*u**7 + 1/40*u**5. Factor b(q).
-3*(q - 1)**2*(q + 1)**2/4
Let s be (0 + -2)*((-75)/24 + 3). Let 1/4*j + 1/4*j**2 - 1/4*j**3 - s*j**4 + 0 = 0. Calculate j.
-1, 0, 1
Let i = 1 + 1. Let i*c**2 + 0*c + 0*c + 3*c - 2 = 0. Calculate c.
-2, 1/2
Factor -15 + 0*g**2 + 10*g - 10*g**2 + 15*g**2.
5*(g - 1)*(g + 3)
Let 0*h + 1/4 - 1/4*h**2 = 0. Calculate h.
-1, 1
Let j(d) be the second derivative of -3*d**5/20 - 5*d**4/4 + 3*d**3 + 21*d. Determine a so that j(a) = 0.
-6, 0, 1
Let y be ((-26)/182)/(60/(-14)). Let c(x) be the third derivative of -x**2 + 0*x**4 + y*x**5 + 0 + 1/20*x**6 + 0*x**3 + 0*x. Let c(m) = 0. Calculate m.
-1/3, 0
Let u(i) = 5*i**2 + 2*i + 4. Suppose -5*v - 15 = -2*v. Let k(d) = 6*d**2 + 2*d + 5. Let s(q) = v*u(q) + 4*k(q). Factor s(b).
-b*(b + 2)
Factor -3/5*k**2 - 1/5*k**3 + 0 + 0*k.
-k**2*(k + 3)/5
Let g(h) be the second derivative of -1/75*h**6 + 0 + 2*h + 1/3*h**3 - 1/50*h**5 + 2/5*h**2 + 1/10*h**4. Factor g(p).
-2*(p - 2)*(p + 1)**3/5
Factor -14/15*y**2 + 4/15*y + 2/5*y**3 + 0.
2*y*(y - 2)*(3*y - 1)/15
Factor -1/2*o**2 + 0*o + 0.
-o**2/2
Let m be ((-12)/(-8))/((-6)/(-8)). Suppose 3*x - 3 = -d, -m*x + 1 = d - 2. Factor 2/7 - 2/7*r**4 + 0*r**2 - 4/7*r + 4/7*r**d.
-2*(r - 1)**3*(r + 1)/7
Let f(m) be the first derivative of m**4/28 + 4*m**3/21 + 5*m**2/14 + 2*m/7 - 12. Find k, given that f(k) = 0.
-2, -1
Factor 63 + 38*u + 21*u - 14*u - 23 + 5*u**2.
5*(u + 1)*(u + 8)
Factor -8*q - 129 + 129 + 4*q**2.
4*q*(q - 2)
Let f(p) = -p**3 - p**2 + 4*p + 7. Let i be f(-2). Let g(x) be the second derivative of 0*x**2 + 1/6*x**4 + 1/10*x**5 + 0 + 3*x - 2/3*x**i. Factor g(d).
2*d*(d - 1)*(d + 2)
Let f be (-8)/(-1) + -1 - 1. Determine d so that -f*d**2 + 4 + 8*d**2 - 8*d + 0 + 4 = 0.
2
Let 8/3*q**3 + 64/3*q - 104/9*q**2 - 2/9*q**4 - 128/9 = 0. Calculate q.
2, 4
Suppose 2*o + 5*v = 9, -3*o + 2*o = -4*v + 2. Find z such that -243/2*z**o - 6 - 54*z = 0.
-2/9
Let m(s) = -s**5 + 2*s**4 + s**3 + s**2 - 3*s. Let n(i) be the third derivative of -i**7/105 + i**4/12 - 2*i**2. Let j(y) = -2*m(y) - 3*n(y). Factor j(k).
2*k**2*(k - 1)*(k + 1)**2
Let j(k) be the second derivative of -k**7/42 - k**6/10 + 33*k. Factor j(m).
-m**4*(m + 3)
Let p(t) = t**5 + 16*t**4 - 39*t**3 + 32*t**2 - 13*t. Let i(r) = -2*r**5 - 16*r**4 + 40*r**3 - 32*r**2 + 14*r. Let n(u) = 3*i(u) + 4*p(u). Factor n(f).
-2*f*(f - 5)*(f - 1)**3
Let l(m) = 3*m**4 - 12*m**3 - 39*m**2 - 24*m + 6. Let i(c) = 4*c**4 - 11*c**3 - 40*c**2 - 25*c + 7. Let k(r) = 6*i(r) - 7*l(r). Factor k(h).
3*h*(h + 1)*(h + 2)*(h + 3)
Suppose 5*h + 0*h - 25 = 0. Factor -2/5*p**h + 0*p + 4/5*p**2 + 0 + 6/5*p**3 + 0*p**4.
-2*p**2*(p - 2)*(p + 1)**2/5
Let h(a) = 5*a**3 + 15*a**2 + 21*a + 16. Let v(w) = w**3 + w**2 - w. Let l(y) = 2*h(y) - 6*v(y). Factor l(u).
4*(u + 2)**3
Let d(u) be the first derivative of 1/36*u**4 + 1/36*u**3 + 3 - 1/12*u**2 - u. Let c(y) be the first derivative of d(y). Factor c(l).
(l + 1)*(2*l - 1)/6
Let b(z) = -z**3 + 7*z**2 - 5*z - 3. Let q be b(6). Let y(t) be the second derivative of -2*t + 0*t**q + 0*t**2 + 1/70*t**5 + 1/42*t**4 + 0. Factor y(r).
2*r**2*(r + 1)/7
Factor -1/2*v**4 + 3/2*v**3 + 0 - 3/2*v + 1/2*v**2.
-v*(v - 3)*(v - 1)*(v + 1)/2
Let d(f) be the second derivative of -f + 0 + 0*f**2 - 1/10*f**5 + 1/3*f**4 + 0*f**3 - 1/15*f**6. Factor d(n).
-2*n**2*(n - 1)*(n + 2)
Determine v so that -6*v**5 - 6*v - v**3 + 10*v**2 + 6*v**2 - 16*v**4 + 3*v**3 + 10*v**3 = 0.
-3, -1, 0, 1/3, 1
Let n be 3/((-120)/32*(-2)/10). Let j(u) be t