3*i**3 - 1/4*i**4 + 1/2*i**2 - 3. Suppose v(r) = 0. What is r?
-1, 1
Let k = -4 - -6. Factor 2*p**3 + 4*p**3 + k*p**2 - 7*p**3 - p.
-p*(p - 1)**2
Let s(x) be the second derivative of 0 - 1/16*x**4 - 1/80*x**5 + 1/24*x**3 + 1/120*x**6 - 5*x + 1/4*x**2. Let s(g) = 0. Calculate g.
-1, 1, 2
Let y(z) be the third derivative of -z**7/735 + z**6/84 - z**5/30 + z**4/28 + 22*z**2. Suppose y(l) = 0. Calculate l.
0, 1, 3
Let x = 8 + -8. Suppose m + 0*m = x. Let m*q + 0 + 0*q**2 + 1/4*q**3 = 0. Calculate q.
0
Let d = -8747/42 - -1265/6. Factor -4/7 - 6/7*h**2 - d*h + 8/7*h**3.
2*(h - 2)*(h + 1)*(4*h + 1)/7
Let h(p) be the third derivative of p**8/36960 - p**7/4620 + p**6/1320 - p**5/660 - p**4/12 - p**2. Let o(c) be the second derivative of h(c). Factor o(v).
2*(v - 1)**3/11
Let u = 6/293 + 855/1172. Find a such that u*a**2 + 9/4 - 3*a = 0.
1, 3
Let u(g) be the first derivative of -10*g**3/21 + g**2 - 4*g/7 + 3. Let u(i) = 0. What is i?
2/5, 1
Suppose 4*b - 4 = 4. Let u(m) = -m + 1. Let g be u(-2). Factor -3/5*o**g - 3/5 + 3/5*o + 3/5*o**b.
-3*(o - 1)**2*(o + 1)/5
Suppose -r + 3 = -3*q - 7, -3*r = 2*q - 8. Solve -3*h**5 - r*h**5 - 10*h**2 + h - 34*h**3 + 2 - 6*h**2 - 26*h**4 = 0 for h.
-1, 2/7
Factor 6360*r**2 - 6358*r**2 - 44*r - 52 + 294.
2*(r - 11)**2
Let x(y) be the second derivative of y**6/120 + 3*y**5/80 + y**4/16 + y**3/24 + 12*y. Factor x(g).
g*(g + 1)**3/4
Let m(z) be the second derivative of z**9/12096 - z**7/1680 + z**5/480 - z**3/6 - 4*z. Let f(n) be the second derivative of m(n). Find b such that f(b) = 0.
-1, 0, 1
Let i be ((-12)/(-21))/(48/56). Factor 1/3*m**2 + i - m.
(m - 2)*(m - 1)/3
Let r(l) = -l**2 + l + 1. Let f(n) = 4*n**2 - 2*n - 5. Let i(u) = -2*f(u) - 6*r(u). Factor i(v).
-2*(v - 1)*(v + 2)
Let z(y) = 4*y**4 + 6 - 1 - 2*y**3 - 3 - 2*y**4. Let b(t) = t**5 - t**4 - 1. Let h(v) = 2*b(v) + z(v). Suppose h(f) = 0. Calculate f.
-1, 0, 1
Suppose -2 - 10 = -3*f. Suppose -6*b**4 - 4*b - 3*b**2 + 3*b**f + 13*b**3 - b**2 - 2*b**4 = 0. Calculate b.
-2/5, 0, 1, 2
Let l(r) be the first derivative of -r**3/4 + 3*r**2/4 + 9*r/4 + 7. Factor l(p).
-3*(p - 3)*(p + 1)/4
Let k(j) = -2*j**3 - j**2 - 2. Let s be k(-2). Let y be (2/s)/((-21)/(-35)). Factor 0 + 1/3*q**2 + y*q.
q*(q + 1)/3
Let f(h) = -h**3 - 4*h**2 - 5. Let i(y) = -y**2 - 1. Let t(o) = f(o) - 5*i(o). Factor t(s).
-s**2*(s - 1)
Let o(a) be the first derivative of -2*a - 3*a**2 - 1/2*a**4 - 2*a**3 + 6. Factor o(t).
-2*(t + 1)**3
Suppose 2*w - 3 = -w. Let g = -1 + 4. Let w - 4*f**5 + 0*f**3 + 2*f**3 + 5*f**5 - 3*f + 2*f**2 - g*f**4 = 0. Calculate f.
-1, 1
Let k = -6 + 11. Let n be (19/152)/(1/2). Determine q so that 0 - 1/4*q**2 + 1/4*q**3 - 1/4*q**k + 0*q + n*q**4 = 0.
-1, 0, 1
Let a(p) be the third derivative of 1/48*p**5 - p**2 - 1/32*p**4 + 0*p - 1/12*p**3 + 0. Factor a(x).
(x - 1)*(5*x + 2)/4
Let r(d) be the third derivative of -d**8/6720 - d**7/2520 + d**6/360 - d**4/8 + d**2. Let z(x) be the second derivative of r(x). Suppose z(f) = 0. What is f?
-2, 0, 1
Let t be -2 + 2/(-28)*-32. Let y(z) be the first derivative of 3 + t*z**2 - 10/21*z**3 + 0*z. Solve y(u) = 0 for u.
0, 2/5
Let r(z) be the first derivative of 2/15*z**5 - 2/3*z**3 - 2/3*z**2 + 2 + 0*z**4 + 0*z. Let r(o) = 0. Calculate o.
-1, 0, 2
Let b(d) be the second derivative of -3*d + 0*d**3 - 1/165*d**6 + 1/110*d**5 + 0*d**2 - 1/231*d**7 + 1/66*d**4 + 0. What is o in b(o) = 0?
-1, 0, 1
Let f be 0 - 3*((-749)/(-126) - 6). Find m, given that -1/3*m + 0 + f*m**2 = 0.
0, 2
Let n(p) be the first derivative of -2*p**5/55 + 2*p**3/11 + 2*p**2/11 + 40. Determine v, given that n(v) = 0.
-1, 0, 2
Suppose 2*r = -3*y, -5*y + 4 = 5*r + 9. Let b(w) be the second derivative of 0*w**4 + 0*w**3 + 0 + 1/50*w**5 + 0*w**y - 2*w. Solve b(o) = 0 for o.
0
Let a(l) = -l**2 - 9*l - 6. Let f be a(-8). Factor 6 - 2 - d**2 - d**2 - 3*d - f + 3*d**3.
(d - 1)*(d + 1)*(3*d - 2)
Suppose 7 + 8 = 5*f. Factor f*b + 3 + 3/4*b**2.
3*(b + 2)**2/4
Let z(t) be the first derivative of 1/10*t**5 + 1/8*t**4 - 1/12*t**3 + t + 0*t**2 + 2. Let w(f) be the first derivative of z(f). Solve w(v) = 0.
-1, 0, 1/4
Let o(k) be the first derivative of k**4/24 - k**3/18 - 14. Solve o(q) = 0.
0, 1
Let z = -1 - -1. Let r(f) = 2*f**3 - 2*f**2 - 3*f. Let c be r(2). Solve -4/7*g**3 + 0 + 0*g**4 + 2/7*g**5 + 2/7*g + z*g**c = 0 for g.
-1, 0, 1
Let p be (-3)/(-18) + (-2)/36. Let j(h) be the first derivative of 2 - p*h**3 + 1/12*h**4 + 0*h + 0*h**2. Let j(b) = 0. What is b?
0, 1
Let v(n) be the second derivative of -n**7/420 + n**5/60 - n**3/3 - n. Let w(k) be the second derivative of v(k). Factor w(y).
-2*y*(y - 1)*(y + 1)
Let k(i) be the first derivative of -3*i**4/4 + 21*i**2/2 + 18*i + 15. Suppose k(p) = 0. Calculate p.
-2, -1, 3
Suppose 4*c + 3 = 11. Let m = 0 + c. Find b, given that 2*b**2 - 2 + 2 + m*b = 0.
-1, 0
Suppose -2*n + 2*m = -16, n + 8 = -2*n - 5*m. Factor 2*b + 7*b**2 + 1 + b + b**3 - n*b**2.
(b + 1)**3
Let z(r) be the second derivative of -r**4/66 - r**3/11 - 9*r. Let z(q) = 0. What is q?
-3, 0
Let v(p) be the second derivative of -3*p**5/40 + p**4/2 + 26*p. Factor v(j).
-3*j**2*(j - 4)/2
Let r(o) be the second derivative of -o**4/36 - o**3/18 + 5*o. Factor r(p).
-p*(p + 1)/3
Let q(j) be the third derivative of 0*j**3 + 3/70*j**7 + 0*j - 7*j**2 + 1/12*j**4 + 1/12*j**5 + 0 - 2/15*j**6. Factor q(l).
l*(l - 1)**2*(9*l + 2)
Let v(z) = -z**3 + 2*z**2 - 5*z. Let n be v(0). What is k in 2/9*k**3 + 0*k**2 + n*k + 2/9*k**5 + 0 - 4/9*k**4 = 0?
0, 1
Factor -12/5*g - 8/5 - 4/5*g**2.
-4*(g + 1)*(g + 2)/5
Suppose 3*k = 2*x + 34 - 2, 5*x + 60 = 5*k. Determine f so that -1 + 1 - 6*f**3 + k*f**3 - 2*f = 0.
-1, 0, 1
Factor -2 - 6*s - 3*s - 5*s + s**2 + 15*s.
(s - 1)*(s + 2)
Find h, given that 5*h**4 - h**2 + 5*h**2 - 5*h**2 - 4*h**4 = 0.
-1, 0, 1
Let d(s) = 3*s**3 - 3*s**2 + 7*s + 5. Let p(z) = 4*z**3 - 4*z**2 + 6*z + 6. Let f(o) = -6*d(o) + 5*p(o). Find y, given that f(y) = 0.
-2, 0, 3
Let f(p) be the first derivative of p**4/30 - p**2/5 - 2*p + 2. Let u(y) be the first derivative of f(y). Let u(g) = 0. Calculate g.
-1, 1
Let q(o) be the first derivative of -o + 4 - o**2 + 5/12*o**3. Factor q(g).
(g - 2)*(5*g + 2)/4
Let b(a) = 9*a - 8. Let l be b(6). Factor -w - 14*w**2 - 14*w**4 - 16*w**3 + l*w**4 + 2*w - 3*w.
2*w*(w - 1)*(4*w + 1)**2
Let n(x) be the first derivative of -2/3*x**2 + x - 1/36*x**4 - 2 - 2/9*x**3. Let v(k) be the first derivative of n(k). Factor v(z).
-(z + 2)**2/3
Let z = -4 + 6. Suppose -i + 4*n - 18 = 0, -i + z*n = 2*i + 4. Factor 0*j + 0 + 2/3*j**i + j**3.
j**2*(3*j + 2)/3
Let f(m) = 4*m**3 - 76*m**2 + 8*m. Let i(p) = 3*p**3 - 51*p**2 + 5*p. Let z(c) = 5*f(c) - 8*i(c). Determine h so that z(h) = 0.
0, 7
Find f such that -2/3*f**4 + 1/3*f**5 + 0*f + 2/3*f**2 - 1/3*f**3 + 0 = 0.
-1, 0, 1, 2
Let i(l) = -5*l**3 - 25*l**2 - 44*l - 20. Let r(y) = -15*y**3 - 75*y**2 - 131*y - 60. Let q(z) = 11*i(z) - 4*r(z). What is m in q(m) = 0?
-2, -1
Determine w, given that 1/2*w - 2*w**2 + 1/3 + 7/6*w**3 = 0.
-2/7, 1
Let u(l) = 3*l**5 - 3*l**4 + 15*l**3 + 3*l**2 - 6*l. Let x(t) = 3*t**5 - 2*t**4 + 16*t**3 + 4*t**2 - 7*t. Let y(d) = -7*u(d) + 6*x(d). Solve y(r) = 0.
0, 1
Let y(r) be the third derivative of r**8/10080 - r**6/360 - r**5/20 - r**2. Let a(m) be the third derivative of y(m). Solve a(c) = 0 for c.
-1, 1
Let k = -1130 - -1134. Determine v, given that 0*v**3 + 0 - 8/3*v**k + 8/3*v**2 + 4/3*v**5 - 4/3*v = 0.
-1, 0, 1
Let s = 99 + -169. Let f be (-20)/s*(-7)/(-3). Factor f*v**3 + 0*v**2 - 4/3 - 2*v.
2*(v - 2)*(v + 1)**2/3
Let a(z) be the first derivative of z**4/14 + 2*z**3/21 - 1. Factor a(u).
2*u**2*(u + 1)/7
Let j(g) be the second derivative of -g**7/6300 + g**6/1800 + g**4/12 + g. Let u(a) be the third derivative of j(a). Solve u(h) = 0.
0, 1
Let n = -12 + 17. Let y(f) be the first derivative of -2 + 0*f + 3/16*f**4 - 1/4*f**3 - 1/20*f**n + 1/8*f**2. What is h in y(h) = 0?
0, 1
Let r(u) be the third derivative of -u**6/24 - u**5/6 + 5*u**4/8 + 5*u**2. Factor r(b).
-5*b*(b - 1)*(b + 3)
Let h(s) be the first derivative of -s**9/756 + s**8/840 + s**7/1890 - 4*s**3/3 + 2. Let r(b) be the third derivative of h(b). Factor r(m).
-2*m**3*(3*m - 2)*(6*m + 1)/9
Let h(q) be the second derivative of q**6/105 + q**5/70 - q**4/42 - q**3/21 - 29*q. Let h(r) = 0. Calculate r.
-1, 0, 1
Let b(