be the first derivative of -m**5/70 + m**4/42 - 7*m + 7. Let q(x) be the first derivative of f(x). Find i, given that q(i) = 0.
0, 1
Let b(y) be the second derivative of y**4/42 - y**2/7 - 5*y. Suppose b(g) = 0. What is g?
-1, 1
Let p(t) be the second derivative of -t**8/672 + t**6/120 - t**4/48 - 2*t**2 + 4*t. Let i(s) be the first derivative of p(s). Let i(u) = 0. What is u?
-1, 0, 1
Factor -2*s**5 - 16*s**4 + 6*s**5 + 0*s**2 + 20*s**3 - 8*s**2.
4*s**2*(s - 2)*(s - 1)**2
Solve 1 + 3/4*s - 1/4*s**2 = 0.
-1, 4
Find j such that -2/19*j**2 + 10/19 + 8/19*j = 0.
-1, 5
Suppose 0 = 5*g - 12 - 3. Let t(a) be the first derivative of -1/3*a**2 - 2/9*a**3 + 4/3*a + g. Factor t(m).
-2*(m - 1)*(m + 2)/3
Let t(o) = -o + 0 - 1 + 3 + 0*o. Let d be t(-2). Factor 0*n + 0*n**2 + 0 - 1/4*n**3 - 1/4*n**d.
-n**3*(n + 1)/4
Suppose -5*o + 7 = 4*q - 42, -2*q - 34 = -2*o. Let a = o + -10. Factor 2/7 - 2/7*g**a + 2/7*g - 2/7*g**2.
-2*(g - 1)*(g + 1)**2/7
Let j(v) = -v**2 + 3. Let u be j(0). Factor 4*i**3 - 5*i - 3*i**u + 3*i**2 + 2 + 3*i**2 - 3*i**2 - i**4.
-(i - 1)**3*(i + 2)
Let b(w) be the second derivative of -2*w**6/15 + w**5/5 + 2*w**4 - 8*w**3/3 - 16*w**2 - 9*w. Factor b(o).
-4*(o - 2)**2*(o + 1)*(o + 2)
Let p(u) = 15*u**2 + 25*u - 45. Let w(b) = -8*b**2 - 12*b + 23. Let c(z) = -3*p(z) - 5*w(z). Factor c(x).
-5*(x - 1)*(x + 4)
Let a = -111/13 - -235/26. Factor -a*g - 1/4*g**2 + 0.
-g*(g + 2)/4
Let x = -20 - -20. Let i(v) be the second derivative of 0*v**3 + 2*v + 0*v**2 + 1/6*v**4 + x. Find q, given that i(q) = 0.
0
Let h = 139/2 + -69. Factor h*a + 5/4*a**2 + 3/4*a**3 + 0.
a*(a + 1)*(3*a + 2)/4
Factor 0*t + 0 + 1/3*t**3 - 1/3*t**2.
t**2*(t - 1)/3
Let t = -55 + 64. Determine s, given that -1 - t*s - 81/4*s**2 = 0.
-2/9
Suppose 8 + 44 = -4*u. Let v = -8 - u. Factor 2*m**3 - m**v - 3*m + 2*m + 0*m.
-m*(m - 1)**2*(m + 1)**2
Let q(k) be the first derivative of 0*k**2 + 2/5*k**5 + 1/2*k**4 + 0*k**3 - 1 + 0*k. Factor q(l).
2*l**3*(l + 1)
Let o(z) be the third derivative of z**8/4200 + z**7/2100 + 5*z**3/6 + 5*z**2. Let c(b) be the first derivative of o(b). What is p in c(p) = 0?
-1, 0
Let u(b) be the second derivative of b**4/3 - 6*b. Factor u(i).
4*i**2
Let x = -785/6 - -131. Let v(a) be the first derivative of 0*a**3 + 0*a + 1/3*a**2 - 3 - x*a**4. Factor v(d).
-2*d*(d - 1)*(d + 1)/3
Let t be ((-30)/12)/(5/(-10)) - 3. Determine j, given that -3/2*j**5 + 0 + 9/2*j**3 - 3*j**t + 0*j + 0*j**4 = 0.
-2, 0, 1
Let n = -1 + 3. Suppose -3*q**2 - 11*q**n + 9 - 1 + 0*q**3 - 6*q**3 = 0. Calculate q.
-2, -1, 2/3
Let a = -4 - -8. Suppose 3*v - a*r - 8 = -v, -5*r + 10 = 5*v. Factor 2*c**3 + v*c**3 + 0*c**3 - c**4 + c**2 - c - 3*c**3.
-c*(c - 1)**2*(c + 1)
Let a(v) = -5*v**2 + v**2 - v + 5*v**2. Suppose 50 = -3*x + 8*x. Let i(l) = -12*l**2 + 10*l. Let y(d) = x*a(d) + i(d). Let y(q) = 0. What is q?
0
Let u = 195/11 + -1277/77. Suppose 1/7*b**3 - 4/7*b + 2/7*b**2 - u = 0. What is b?
-2, 2
Let m(v) be the first derivative of 1/4*v**4 + 3 + 0*v + 1/3*v**3 + 0*v**2. Let m(y) = 0. Calculate y.
-1, 0
Let m(b) = -4*b + 3. Let o be m(2). Let z be (-1)/o*10/6. Determine v so that -1/3*v + 0 + 1/3*v**3 + z*v**2 - 1/3*v**4 = 0.
-1, 0, 1
Let m be (-82)/5 + 18/45. Let p be ((-18)/24)/(10/m). Factor 0 + 6/5*b**4 + 0*b + 2/5*b**2 + 2/5*b**5 + p*b**3.
2*b**2*(b + 1)**3/5
Let a(y) be the first derivative of 4*y**5/5 - y**4 - 4*y**3/3 + 2*y**2 + 5. Let a(r) = 0. What is r?
-1, 0, 1
Let k be 3/6 + 2/4. Let t be -1 + (4 - 2) + k. Determine v, given that 8/7*v + 8/7*v**3 + 12/7*v**t + 2/7*v**4 + 2/7 = 0.
-1
Solve 5*q**3 + 3*q**2 + 5*q**4 - 8*q**2 - 7*q**5 + 2*q**5 + 0*q**4 = 0.
-1, 0, 1
Let 2/3*h**2 + 2/3*h + 0 = 0. What is h?
-1, 0
Let k = -4/9 - -38/45. Factor -k*o**2 + 2/5 - 2/5*o + 2/5*o**3.
2*(o - 1)**2*(o + 1)/5
Let a = 4/33 + 7/33. Let -2*q + a*q**2 + 3 = 0. Calculate q.
3
Factor -2*p**2 - 35*p**3 - p + 4*p**2 + 34*p**3.
-p*(p - 1)**2
Let g(k) be the first derivative of -k**4/2 + 2*k**3/3 + 10. Factor g(w).
-2*w**2*(w - 1)
Factor b**2 + 3*b**2 + 91*b**3 - 95*b**3.
-4*b**2*(b - 1)
Let k(o) be the second derivative of -o**5/20 + o**4/2 + o**3/6 - o. Let s be k(6). Factor s + 0 + 3*v**2 + 5*v + 7*v - 3*v.
3*(v + 1)*(v + 2)
Let h(q) = q - 1. Let u(i) = i**2 + 5*i - 5. Let m be u(-6). Let w(l) = 2*l**2 + 4*l - 4. Let f(g) = m*w(g) - 12*h(g). Factor f(s).
2*(s - 2)**2
Suppose 4*m - 2*m = -4*h + 28, -3*m - 2*h + 22 = 0. Factor 2*l**3 - l**5 + 0*l**5 + m*l**4 + 3*l**5.
2*l**3*(l + 1)**2
Let d(l) = 2*l**4 - 2*l**3 - 2*l - 2. Let r(j) = -9*j**4 + 9*j**3 + 11*j + 11. Let u(h) = -11*d(h) - 2*r(h). Factor u(y).
-4*y**3*(y - 1)
Let p be (100/(-45))/(-1) - 2. Let a(s) be the first derivative of 1 + p*s**3 - 2/3*s - 1/3*s**2 + 1/6*s**4. Determine z, given that a(z) = 0.
-1, 1
Let t(k) be the third derivative of k**7/1155 + 7*k**6/660 + 3*k**5/110 - 9*k**4/44 - 18*k**3/11 - 6*k**2. Find b, given that t(b) = 0.
-3, 2
Find o, given that 16*o**2 - 10*o + 3*o**3 - 15 + 5*o**3 - 5*o**4 + 2*o**3 + 4*o**2 = 0.
-1, 1, 3
Let i(m) = -m + 4. Let l be i(4). Solve -t**2 + 0 + l*t - 1/4*t**4 + t**3 = 0.
0, 2
Suppose 12 - 12*w + w**3 - w - 2 + 2*w**2 = 0. What is w?
-5, 1, 2
Factor 0 + 8/11*c - 2/11*c**2.
-2*c*(c - 4)/11
Factor 3/4*j**2 + 15/4*j + 3.
3*(j + 1)*(j + 4)/4
Let j(y) = 8*y**3 - 9*y + 9. Let c(x) = -2*x**3 + 2*x - 2. Let n(h) = -9*c(h) - 2*j(h). Let n(o) = 0. What is o?
0
Suppose 3*p = p + 16. Factor 0*u**3 + 2*u**3 + 4*u**3 - p*u**3 + 8*u**4.
2*u**3*(4*u - 1)
Let r(h) be the second derivative of h - 1/60*h**6 + 1/84*h**7 - 1/40*h**5 + 0*h**2 + 1/24*h**4 + 0 + 0*h**3. Factor r(j).
j**2*(j - 1)**2*(j + 1)/2
Solve 59*r + 3 + 4*r**3 - 3 - 16*r**2 - 79*r = 0.
-1, 0, 5
Let x(a) = a - 1. Let p(f) = -3*f**2 - 2*f - 1. Let r = 3 - 2. Let m(w) = r*x(w) - p(w). Suppose m(u) = 0. Calculate u.
-1, 0
Suppose -4*t = 8 + 16. Let n = t + 8. Solve -g + 0*g**2 - 2 + g**n + 0 = 0.
-1, 2
Let g(w) be the third derivative of -w**6/270 + w**5/135 + 5*w**4/54 + 2*w**3/9 + 14*w**2. Factor g(d).
-4*(d - 3)*(d + 1)**2/9
Let g(k) be the third derivative of -k**6/40 + 3*k**5/20 + k**4/8 - 3*k**3/2 + 32*k**2. Find l such that g(l) = 0.
-1, 1, 3
Let y(s) = -2*s**3 - 2 - 5*s**2 - 2*s**2 - 1 + 6*s - 8*s. Let f(c) = 2*c**3 + 8*c**2 + 2*c + 4. Let k(u) = -3*f(u) - 4*y(u). Find n such that k(n) = 0.
-1, 0
Let z be 0 - (2 + 8)/2. Let d = z - -9. Determine n, given that d + 0 - 9*n**2 - 5 - 6*n = 0.
-1/3
Let z(q) be the second derivative of -q**8/4032 + q**7/945 - q**6/2160 - q**5/180 + q**4/4 - 3*q. Let v(k) be the third derivative of z(k). Factor v(a).
-(a - 1)**2*(5*a + 2)/3
Let l be (-15)/2*((-8)/(-12))/(-1). Find u, given that 3/2*u**3 + u - 7/2*u**4 - 5/2*u**l + 0 + 7/2*u**2 = 0.
-1, -2/5, 0, 1
Let g = 11 + -8. Factor 1 - 8*c**2 - 8*c**4 - 2*c - 2*c**5 - 12*c**g - 1.
-2*c*(c + 1)**4
Let x = 395/3 - 131. Solve -1/3 - x*l - 1/3*l**2 = 0.
-1
Let b(v) be the third derivative of v**10/75600 - v**9/30240 - v**8/10080 + v**7/2520 + v**5/12 - 9*v**2. Let l(d) be the third derivative of b(d). Factor l(u).
2*u*(u - 1)**2*(u + 1)
Let y(a) be the second derivative of a**4/9 - 8*a**3/9 - 12*a. Factor y(r).
4*r*(r - 4)/3
Let i(l) be the third derivative of 0 + 1/60*l**6 + 0*l + 0*l**5 + 1/315*l**7 - 3*l**2 + 0*l**3 - 1/9*l**4. Solve i(b) = 0 for b.
-2, 0, 1
Let q be (-21)/5 - (-1)/5. Let b be (4/6)/(q/(-18)). Determine f, given that f**3 - 4*f**2 - 5*f**3 + 15*f**5 - 4*f**b + 11*f**4 = 0.
-1, -2/5, 0, 2/3
Suppose -2*a = a + r - 10, -2*a = -2*r + 4. Factor -6*p + p**2 + 4 - p + a*p + p.
(p - 2)**2
Let m be (-15)/25 - 2/5. Let j be (4/(-6))/2*m. Suppose 2/3*f**2 + 0 - 2/3*f**4 - 1/3*f + j*f**3 = 0. What is f?
-1, 0, 1/2, 1
Let k(u) be the second derivative of u**5/5 - 8*u**3/3 + u. Factor k(x).
4*x*(x - 2)*(x + 2)
Let c(u) be the second derivative of 0*u**4 + 1/65*u**5 + 3*u - 1/13*u**2 + 0 - 2/39*u**3 + 1/195*u**6. Factor c(i).
2*(i - 1)*(i + 1)**3/13
Let d(g) be the first derivative of -4*g**3/3 - 2*g**2 + 8*g + 23. Suppose d(k) = 0. What is k?
-2, 1
Let b = 165/2 - 100. Let n = -16 - b. Determine f so that 0*f - 3/2*f**5 + 0 - n*f**4 + 3/2*f**3 + 3/2*f**2 = 0.
-1, 0, 1
Factor -2/3*f + 2/3*f**2 - 4/3.
2*(f - 2)*(f + 1)/3
Let k(r) be the third derivative of -r**6/360 + r**5/60 - r**4/24 - r**3/2 + 2*r**2. Let m(x) be the first derivative of k(x). Determine f