of -v*f**6 + 0*f + 0*f**5 + 0 - f**2 + 0*f**3 + 0*f**4. Suppose g(t) = 0. What is t?
0
Let b(n) be the second derivative of n**6/30 + 3*n**5/10 - 2*n**4/3 - n**3 + 7*n**2/2 - 28*n. Let b(a) = 0. Calculate a.
-7, -1, 1
Suppose -3*n - 1 + 10 = 0. Determine f, given that 5*f**3 - f**3 - 4*f**n + 2*f**3 = 0.
0
Suppose -6 = -47*b + 44*b. Factor 8/7*i - 2/7*i**b - 6/7.
-2*(i - 3)*(i - 1)/7
Let z(f) = 25*f**5 + 25*f**4 - 33*f**3 + 17*f**2 - 17. Let q(t) = 3*t**5 + 3*t**4 - 4*t**3 + 2*t**2 - 2. Let m(j) = 51*q(j) - 6*z(j). Find h such that m(h) = 0.
-2, 0, 1
Let w(h) = 2*h**2 - 6*h + 6. Let p be w(4). Factor -b**3 + 10 - b**3 + 6*b - p.
-2*(b - 1)**2*(b + 2)
Let q(x) be the second derivative of 0 - x**2 - 4*x + 1/15*x**5 - 7/9*x**3 - 1/189*x**7 - 5/27*x**4 + 1/45*x**6. Find o, given that q(o) = 0.
-1, 3
Let j = 20 + -15. Suppose 3*x + 6 = j*x. Determine b so that -22/5*b - 14/5*b**x - 32/5*b**2 - 4/5 = 0.
-1, -2/7
Let c = 44 - 41. Let m(h) be the second derivative of -4*h - 17/48*h**4 - 1/8*h**c + 27/80*h**5 + 2/7*h**7 + 11/15*h**6 + 0 + 1/8*h**2. What is l in m(l) = 0?
-1, -1/3, 1/4
Factor 1/2*s**3 + 0*s + 0 - 1/2*s**4 + s**2.
-s**2*(s - 2)*(s + 1)/2
Let w = 15 - 4. Factor -4*u**3 + u**5 + 2*u**2 - w*u**4 + u**3 - u**4 - 8*u**5.
-u**2*(u + 1)**2*(7*u - 2)
Let d(r) be the first derivative of 2*r**3/39 - 4*r**2/13 - 10*r/13 + 13. Factor d(h).
2*(h - 5)*(h + 1)/13
Let t(v) = -28*v**3 + 60*v**2 - 40*v + 4. Let l(y) = y**4 + y - 1. Let s(w) = 4*l(w) + t(w). Factor s(i).
4*i*(i - 3)**2*(i - 1)
Let l be 3/2*(-64)/(-24). Let z(t) be the first derivative of -1/22*t**l + 1/11*t**2 + 2/55*t**5 + 0*t - 2/33*t**3 - 1. Suppose z(f) = 0. What is f?
-1, 0, 1
Let z(f) be the third derivative of 0*f**4 - 1/270*f**6 + 0*f - 1/945*f**7 + 2*f**2 - 1/270*f**5 + 0 + 0*f**3. Factor z(p).
-2*p**2*(p + 1)**2/9
Let h = -63/2 + 32. Let l(z) be the second derivative of 0 - 2*z - h*z**3 + z**2 + 1/12*z**4. Factor l(v).
(v - 2)*(v - 1)
Let l be (-104)/(-32) + 1/(-4). Factor s + s**2 + l*s**2 - 3*s**3 - 2*s**2.
-s*(s - 1)*(3*s + 1)
Let s = 4 - -1. Suppose 11 = s*r + y - 2, 3*r + 3*y - 15 = 0. Solve r*m + 6*m**3 - 10*m**2 - 1 + 5 - 2 = 0 for m.
-1/3, 1
Let j = -14 - -34. Solve 21*m**4 + 29*m**2 - 58*m**3 - 4*m**2 - 12*m + 56*m**2 - 12 - j*m**3 = 0 for m.
-2/7, 1, 2
Let b = -2/107 + 761/642. Factor -1/3 + 2*m**2 + 1/2*m + b*m**3.
(m + 1)**2*(7*m - 2)/6
Let c(l) be the first derivative of l**4/6 - 4*l**3/3 + 4*l**2 + 5*l - 5. Let r(j) be the first derivative of c(j). Factor r(k).
2*(k - 2)**2
Let f be ((-33)/(-22))/(6/(-32)). Let x be f/(-4 + 2) - 1. What is t in -28/5*t**x - 2/5*t**5 + 4/5 + 12/5*t**4 + 32/5*t**2 - 18/5*t = 0?
1, 2
Let c(m) = -m**3 + 10*m**2 + 11*m + 2. Let b be c(11). Let n be (-2 + b + 1)*0. What is i in 0*i + 0 + 1/5*i**3 - 1/5*i**5 + 0*i**2 + n*i**4 = 0?
-1, 0, 1
Let h be 2*(0 + -1) + 2. Determine s, given that h + 3*s**2 + 4*s + 6 - 13*s = 0.
1, 2
Let i(w) be the first derivative of -2*w + 5/4*w**4 + 6 + 7/2*w**2 - 3*w**3 - 1/5*w**5. Factor i(d).
-(d - 2)*(d - 1)**3
Factor -48*q - 1/4*q**3 + 128 + 6*q**2.
-(q - 8)**3/4
Let r(j) be the second derivative of j**7/21 + 2*j**6/15 - 6*j**5/5 + 7*j**4/3 - 5*j**3/3 + 17*j. Suppose r(i) = 0. Calculate i.
-5, 0, 1
Factor 0 - 10/3*y**3 - 8*y**2 - 8/3*y.
-2*y*(y + 2)*(5*y + 2)/3
Let h(k) be the second derivative of 0 + 1/42*k**7 + 0*k**2 + 0*k**3 - 1/30*k**6 - 1/20*k**5 + 1/12*k**4 - 3*k. Suppose h(o) = 0. Calculate o.
-1, 0, 1
Let u be (36/(-45))/(2/(-10)). Suppose 2/7*p**3 + 0*p + 0 + 0*p**2 + 2/7*p**u = 0. What is p?
-1, 0
Let j be 0/((1 - -1)*-1). Suppose 2*c = 4*c. Suppose j*x**2 + x - x**3 - 2 + c + 2*x**2 = 0. What is x?
-1, 1, 2
Suppose -2*p + 4 = -4. Let k(d) be the second derivative of -1/10*d**6 + 5/12*d**p - 1/6*d**3 + 0 + 2*d + 1/20*d**5 - d**2. Factor k(g).
-(g - 1)**2*(g + 1)*(3*g + 2)
Let s(l) be the third derivative of -1/240*l**5 + 0 - 1/96*l**4 - 4*l**2 + 0*l**3 + 0*l. Factor s(u).
-u*(u + 1)/4
Let m(p) be the third derivative of p**8/3360 - p**7/3780 - p**6/360 + p**5/180 + p**4/12 - 2*p**2. Let d(r) be the second derivative of m(r). Factor d(s).
2*(s - 1)*(s + 1)*(3*s - 1)/3
Suppose 4*y - 3*r = -0*r + 21, 3*y - 2*r = 15. Suppose 6 = y*n - 2*n - 2*u, -4 = 2*u. Suppose -1/4*h**n + 3/4*h - 1/2 = 0. Calculate h.
1, 2
Solve 0 + 3/2*p**2 + 3/2*p = 0.
-1, 0
Let s(h) = -7*h**4 + 5 + 4*h**2 + 9*h**4 + 0 - h**4 + 11*h**3. Let w(t) = t**4 + 12*t**3 + 3*t**2 + 6. Let f(l) = -6*s(l) + 5*w(l). Factor f(b).
-b**2*(b + 3)**2
Let x(l) be the second derivative of l**7/3 + 19*l**6/15 + 3*l**5/2 + l**4/6 - 2*l**3/3 + 6*l. Factor x(u).
2*u*(u + 1)**3*(7*u - 2)
Let h(i) be the second derivative of i**5/70 + i**4/14 + i**3/7 + i**2/7 + 10*i. Let h(y) = 0. What is y?
-1
Solve -2/15*c**5 - 8/15*c**4 - 8/15*c**3 + 4/15 + 2/3*c + 4/15*c**2 = 0 for c.
-2, -1, 1
Let k(s) = s + 9. Let v be k(-3). Let h(a) be the third derivative of 0 + 0*a**3 + 0*a**4 - 1/189*a**7 + 7/540*a**v - 1/135*a**5 - a**2 + 0*a. Factor h(x).
-2*x**2*(x - 1)*(5*x - 2)/9
Let b = 117/28 - 24/7. Factor 0 + 1/4*q**2 + b*q.
q*(q + 3)/4
Let j(c) be the first derivative of c**4/18 + 4*c**3/9 + 4*c**2/3 - c + 2. Let f(q) be the first derivative of j(q). Solve f(r) = 0.
-2
Let v = -4 - -8. Determine r so that -3*r + 8*r + 3*r + 8*r**3 - 2 - 12*r**2 - 2*r**v = 0.
1
Let f(q) = q**2 + 9*q - 6. Let l be f(-10). Solve 4/3 - l*v**2 + 2/3*v = 0 for v.
-1/2, 2/3
Let v(r) = 3*r**5 - 9*r**4 + 9*r**3 - 3*r**2 + 3. Let d(g) = -9*g**5 + 27*g**4 - 27*g**3 + 9*g**2 - 8. Let k(m) = -3*d(m) - 8*v(m). Solve k(z) = 0 for z.
0, 1
Let n(j) be the second derivative of j**5/8 + 13*j**4/24 - 13*j**3/6 + 2*j**2 - 22*j. Determine u, given that n(u) = 0.
-4, 2/5, 1
Let h(n) = -5*n**2 - n + 4. Let l(m) = m**2 - 1. Let s(c) = -2*h(c) - 4*l(c). Find g such that s(g) = 0.
-1, 2/3
Let f = 107 - 104. Factor 0*h**f + 0*h**2 - 1/5*h**4 + 0 + 0*h.
-h**4/5
Let y = 7/22 + 2/11. Let z(o) be the first derivative of 2*o - o**3 + y*o**2 - 1. Find q such that z(q) = 0.
-2/3, 1
Let t = -965 + 30877/32. Let x = 73/96 + t. Factor -2/3*v + 0 + x*v**3 - 5/3*v**4 + 5/3*v**2.
-v*(v - 1)*(v + 1)*(5*v - 2)/3
Factor -6/5*u + 2/5 + 2/5*u**5 + 4/5*u**3 + 4/5*u**2 - 6/5*u**4.
2*(u - 1)**4*(u + 1)/5
Let j(r) = r**4 + 8*r**3 + 3*r**2 + 4. Let a(t) = -t**4 - t**3 - t**2 - 1. Let w(d) = -12*a(d) - 3*j(d). Factor w(v).
3*v**2*(v - 1)*(3*v - 1)
Let w(s) be the first derivative of -s**6/1440 - s**5/120 + s**3/3 + 3. Let f(b) be the third derivative of w(b). Solve f(n) = 0 for n.
-4, 0
Let f(h) be the second derivative of -3/20*h**6 + 0*h**3 + 0*h**2 + 6*h - 9/40*h**5 - 1/28*h**7 + 0 - 1/8*h**4. Find m such that f(m) = 0.
-1, 0
Let t = 12/23 - 14/115. Suppose -2/5*q**3 + t*q - 1/5*q**4 + 0 + 1/5*q**2 = 0. What is q?
-2, -1, 0, 1
Suppose 17*k - 47*k = -90. Solve -3/7*n**5 + 0*n + 3/7*n**4 + 0 + 0*n**k + 0*n**2 = 0 for n.
0, 1
Let p(o) = -3*o**4 + o**3 + 2*o**2 - 4*o + 4. Let n(a) = -4*a**4 + 2*a**3 + 2*a**2 - 5*a + 5. Let c(h) = -4*n(h) + 5*p(h). Factor c(u).
u**2*(u - 2)*(u - 1)
Let z be -1 + 2/(-3)*-3. Factor z + 2*w + w**2 - 1 - w.
w*(w + 1)
Let r(q) = -q + 9. Let h be r(6). Let l(o) be the third derivative of 0*o**h + 1/210*o**7 + 1/24*o**4 - 1/120*o**6 - 1/60*o**5 + 0 + 0*o + o**2. Factor l(n).
n*(n - 1)**2*(n + 1)
Let p(o) = -o**2 - o. Let c(s) be the second derivative of s**4/3 + 2*s**3/3 - s**2/2 - s. Let n(b) = 2*c(b) + 7*p(b). Find u, given that n(u) = 0.
-2, 1
Let d(t) = -t**4 + t**2 - t. Let i(x) = -10*x**4 - 2*x**3 + 2*x**2 - 18*x. Let z(l) = 12*d(l) - i(l). Factor z(g).
-2*g*(g - 3)*(g + 1)**2
What is o in 4*o + 4*o + 21*o**3 + 7*o**3 + 36*o**2 = 0?
-1, -2/7, 0
Let v(s) be the second derivative of s**6/45 - 7*s**5/30 + 17*s**4/18 - 17*s**3/9 + 2*s**2 - 4*s. Factor v(g).
2*(g - 3)*(g - 2)*(g - 1)**2/3
Let g = 81 - 239/3. Let c(x) = x**2 - 3*x - 2. Let i be c(4). Determine y, given that -2/3*y**3 - y**i + 1/3*y**4 + 4/3 + g*y = 0.
-1, 2
Let o be 2*(-2 - 15/(-2)). Let l = -9 + o. Factor -1/6*s**l - 1/3 - 1/2*s.
-(s + 1)*(s + 2)/6
Let a(i) be the second derivative of -4*i**7/105 + i**6/25 + i**5/50 + i + 13. What is h in a(h) = 0?
-1/4, 0, 1
Let n(y) be the second derivative of 2*y**6/105 - 9*y**5/70 + 5*y**4/14 - 11*y**3/21 + 3*y**2/7 - 30*y. Factor n(f).
2*(f - 1)**3*(2*f - 3)/7
Let 0 - 1/2*r**2 + 0*r - 1/4*r**3 = 