*d**2. Factor s(g).
4*g*(g - 1)**2*(g + 2)
Let z(o) be the third derivative of 1/70*o**7 + 3*o**2 + 1/8*o**6 + o**3 + 7/8*o**4 + 0*o + 0 + 9/20*o**5. Determine m so that z(m) = 0.
-2, -1
Let w(j) be the second derivative of -j**4/36 - j**3/18 - 24*j. Let w(c) = 0. What is c?
-1, 0
Let g = 179/12 - 57/4. Let p(q) be the first derivative of 0*q**2 - 1/2*q**4 - g*q**3 + 1/3*q**6 + 0*q + 2/5*q**5 + 1. Factor p(n).
2*n**2*(n - 1)*(n + 1)**2
Let t(p) be the second derivative of p**7/147 - 2*p**5/35 + p**4/21 + p**3/7 - 2*p**2/7 + 9*p. Solve t(q) = 0.
-2, -1, 1
Let s(l) = -11*l**3 - 14*l**2 + 13*l. Let f(t) = -89*t**3 - 113*t**2 + 105*t + 1. Let y(a) = -6*f(a) + 51*s(a). Factor y(r).
-3*(r + 2)*(3*r - 1)**2
Factor 252*w**4 + 14*w**3 + 8 + 8*w - 20*w**2 - 8 - 110*w**3.
4*w*(3*w - 1)**2*(7*w + 2)
Suppose -152*g - 52 = -165*g. Determine u so that -1/3*u**3 + 1/3*u**g + 8/3 + 4/3*u - 2*u**2 = 0.
-2, -1, 2
Find q such that 2025*q**3 - q + 10*q**5 - 2055*q**3 + 32*q**2 - 4*q**4 - 7*q = 0.
-2, 0, 2/5, 1
Let j(a) be the first derivative of -2*a**5/25 - a**4/5 - 2*a**3/15 + 11. What is i in j(i) = 0?
-1, 0
Let a(p) be the second derivative of -p**7/14 - p**6/5 + 3*p**5/10 + p**4 - p**3/2 - 3*p**2 - 24*p - 2. Let a(z) = 0. Calculate z.
-2, -1, 1
Suppose -19 = 3*j - 34. Let k(p) be the second derivative of 0*p**2 - 1/35*p**j + 0*p**3 + 0 + 2*p + 1/42*p**4. Suppose k(a) = 0. Calculate a.
0, 1/2
Let a be (15/28)/(150/400). Factor a*z - 4/7 + 2*z**2.
2*(z + 1)*(7*z - 2)/7
Let j be ((-6)/4 - -1)*2. Let v be (j + 1)/(6 - 4). Factor 1/5*r**2 + 0*r**3 + 0 + v*r - 1/5*r**4.
-r**2*(r - 1)*(r + 1)/5
Let p(h) be the third derivative of h**8/88 - 43*h**7/1155 - 7*h**6/330 + 14*h**5/165 + 2*h**4/33 - 6*h**2. Solve p(q) = 0 for q.
-2/3, -2/7, 0, 1, 2
Suppose 9*n**2 + 13 - 2*n**3 - 23*n**2 + 8*n + 12*n**2 - 5 = 0. Calculate n.
-2, -1, 2
Let w(a) be the third derivative of 0*a**3 - 1/48*a**4 + 0 + 0*a - 1/240*a**5 + 3*a**2. Suppose w(g) = 0. What is g?
-2, 0
Let h = 106 - 102. Factor -2/7*q**h + 4/7*q**2 - 2/7 + 0*q**3 + 0*q.
-2*(q - 1)**2*(q + 1)**2/7
Let c(l) be the third derivative of l**6/30 - l**5/15 - l**4/6 + 2*l**3/3 - 8*l**2. What is s in c(s) = 0?
-1, 1
Let k(s) = -s**2 + 10*s + 1. Let p be k(10). Let n be (p/15)/(4/24). Solve -4/5*g**5 + 0 + 7/5*g**3 - n*g**2 + g**4 + 0*g = 0.
-1, 0, 1/4, 2
Let j be 3/(-18) - (-357)/(-18). Let y be (-14)/18 - 20/j. Factor y*q**3 + 4/9*q**4 + 0*q + 0*q**2 + 0.
2*q**3*(2*q + 1)/9
Let f = 9 - 33/4. Let b(z) be the second derivative of -f*z**4 - 3*z + 0 + 0*z**2 + 1/3*z**3. Factor b(r).
-r*(9*r - 2)
Let y(k) be the third derivative of 1/30*k**5 + 1/96*k**6 + 1/24*k**4 + 5*k**2 + 0*k + 1/840*k**7 + 0 + 0*k**3. Determine a, given that y(a) = 0.
-2, -1, 0
Let r = 16 - 13. Suppose 4*t**r + 4*t**2 + 0*t**4 - 8*t**3 + 2*t**4 - 2*t**2 = 0. What is t?
0, 1
Let g be ((-72)/70)/(-1) - (-9)/(-21). Factor 0 - 3/5*s + 0*s**2 + g*s**3.
3*s*(s - 1)*(s + 1)/5
Find s such that 3*s**3 + 9*s**4 + 3*s**3 - 6*s**2 + 3*s**2 = 0.
-1, 0, 1/3
Suppose 8/5 + 2*c + 2/5*c**2 = 0. Calculate c.
-4, -1
Factor -2 - 14 - 6*i - 4*i**2 + 22*i + 4.
-4*(i - 3)*(i - 1)
Let m(k) = -6*k**2 - 6*k + 1. Let i(j) = j**2 + j. Let u(p) = 5*i(p) + m(p). Let z(b) = -2*b**3 - b**2 + b + 3. Let s(h) = 3*u(h) - z(h). Solve s(t) = 0.
-1, 0, 2
Let h(z) be the first derivative of -z**4/2 + 10*z**3/3 - 3*z**2 - 18*z - 7. Factor h(l).
-2*(l - 3)**2*(l + 1)
Let l(g) be the first derivative of -g**8/1344 + g**7/840 + g**6/480 - g**5/240 - g**2/2 + 3. Let a(x) be the second derivative of l(x). Factor a(f).
-f**2*(f - 1)**2*(f + 1)/4
Let o = 14 - 14. Determine f, given that o*f + 2 - f - f**2 - 2*f + 2*f = 0.
-2, 1
Let s(h) be the second derivative of 0 + 1/20*h**4 + 0*h**2 + 1/10*h**3 - 7*h. Find l such that s(l) = 0.
-1, 0
Suppose -2/5*q**2 - 2/5*q**3 + 0 + 0*q = 0. What is q?
-1, 0
Let x be (-2 - (-14)/8)/(14/(-16)). Find w such that x*w**2 - 4/7 + 2/7*w = 0.
-2, 1
Suppose -q = -7*q. Let i(p) be the second derivative of 1/12*p**4 + 1/2*p**2 - p + q - 1/3*p**3. Let i(r) = 0. What is r?
1
Let z(t) be the first derivative of -t**6/6 - 3*t**5/5 - 3*t**4/4 - t**3/3 - 9. Factor z(n).
-n**2*(n + 1)**3
Let z(a) be the third derivative of -a**8/90720 + a**7/22680 + a**5/20 + a**2. Let f(i) be the third derivative of z(i). Solve f(l) = 0.
0, 1
Let g(n) be the second derivative of 1/30*n**5 - 1/126*n**7 + 0 + 0*n**6 + 0*n**4 + 0*n**2 + n - 1/18*n**3. Let g(x) = 0. Calculate x.
-1, 0, 1
Let m(n) be the first derivative of n**4/6 - n**3/3 - 5*n + 3. Let i(h) be the first derivative of m(h). Find w such that i(w) = 0.
0, 1
Determine h so that 11/2*h**3 + 3/4*h**4 - 3*h**2 + 0 - 2*h - 5/4*h**5 = 0.
-2, -2/5, 0, 1, 2
Let t(m) be the first derivative of 2*m**3/3 - 2*m + 8. Solve t(z) = 0.
-1, 1
Factor 27*t + 99/2*t**2 - 12 + 21/2*t**3.
3*(t + 1)*(t + 4)*(7*t - 2)/2
Let a(z) be the first derivative of z + 1/20*z**5 + 0*z**2 - 1 + 0*z**4 + 0*z**3 - 1/30*z**6. Let k(p) be the first derivative of a(p). Factor k(n).
-n**3*(n - 1)
Let g(a) be the first derivative of -1/3*a**3 - 1/900*a**6 + 0*a**2 - 1/60*a**4 + 1/150*a**5 - 3 + 0*a. Let z(r) be the third derivative of g(r). Factor z(i).
-2*(i - 1)**2/5
Let j(h) be the first derivative of 1/3*h**3 - 7/4*h**4 - h**5 + 4*h - 3 + 4*h**2 - 1/6*h**6. Suppose j(i) = 0. Calculate i.
-2, -1, 1
Let r be (-2)/8 + 208/64. Factor 0 + 8/3*h + 2/3*h**5 - 2*h**r - 8/3*h**2 + 4/3*h**4.
2*h*(h - 1)**2*(h + 2)**2/3
Let o(a) be the first derivative of 4*a**3/3 - 18. Factor o(b).
4*b**2
Factor -1/2*f**4 + 5/2*f**2 + 0 - 3*f + f**3.
-f*(f - 3)*(f - 1)*(f + 2)/2
Let k(r) be the second derivative of -r**7/2520 + r**6/360 - r**4/4 - 3*r. Let p(a) be the third derivative of k(a). Factor p(m).
-m*(m - 2)
Solve 0*a**3 + 0*a + 3/4*a**4 - 3/2*a**2 + 3/4 = 0 for a.
-1, 1
Let i = 13 - 11. Suppose i = 5*r - 8. Factor -1/5*u**3 + 1/5*u + 1/5*u**r - 1/5*u**4 + 0.
-u*(u - 1)*(u + 1)**2/5
Let d(z) be the first derivative of 0*z + 2/3*z**2 - 1 - 2/9*z**3 - 1/6*z**4. Factor d(k).
-2*k*(k - 1)*(k + 2)/3
Let i(o) = o**2 - 2*o - 1. Let j be i(3). Let u = 1703/5 + -339. What is s in -6/5*s + 0 + u*s**j = 0?
0, 3/4
Let o be (-6)/(-3) - -2*2. Suppose -3*w - 6 = -o*w. Suppose 3 + 2*y**2 + 0*y**3 - 5 + w*y**3 - 2*y = 0. What is y?
-1, 1
Let q(a) be the second derivative of 2/27*a**3 + 3*a + 1/135*a**6 + 0*a**4 - 1/45*a**5 + 0 - 1/9*a**2. Factor q(y).
2*(y - 1)**3*(y + 1)/9
Let l(o) be the first derivative of o**4/22 + 3. Determine s so that l(s) = 0.
0
Let f(c) be the first derivative of 3*c**5/40 - 11*c**4/48 + c**3/6 + 4*c**2 + 6. Let a(u) be the second derivative of f(u). Factor a(q).
(q - 1)*(9*q - 2)/2
Let m = 2 + -1. Let k be m + 5 + 0 + -1. Factor k + 5 + q**2 - 4*q - 6.
(q - 2)**2
Let c(g) be the second derivative of g**4 + g**3/2 + 4*g. Solve c(u) = 0 for u.
-1/4, 0
Let f(p) be the first derivative of p**7/147 + 2*p**6/105 + p**5/70 + 2*p + 1. Let v(y) be the first derivative of f(y). What is l in v(l) = 0?
-1, 0
Let k(b) be the first derivative of 1/12*b**6 + 25/6*b**3 + 19/8*b**4 + 7/10*b**5 + 2 + 2*b + 4*b**2. Let k(y) = 0. What is y?
-2, -1
Let k = 18 - 16. Suppose k*l + 2*l = 0. Let l*u**2 - 2/3*u**3 + 2/3*u + 0 = 0. Calculate u.
-1, 0, 1
Factor 0*l + 0 - 6/19*l**4 + 8/19*l**2 + 8/19*l**3.
-2*l**2*(l - 2)*(3*l + 2)/19
Let u = 94 + -91. Factor 0 + 10/11*y**u - 6/11*y**4 - 4/11*y**2 + 0*y.
-2*y**2*(y - 1)*(3*y - 2)/11
Let s(n) be the second derivative of n**5/20 - n**4/8 - 7*n**2/2 - 5*n. Let f(i) be the first derivative of s(i). Factor f(w).
3*w*(w - 1)
Suppose 2*f = -3*f + 40. Let -10*j**5 - 26*j**4 - 3*j + 20*j**2 + 14*j**2 - f + 11*j + 2*j**3 = 0. What is j?
-2, -1, 2/5, 1
Determine s, given that 14/3*s + 4/3 - 10/3*s**4 + 2*s**2 - 14/3*s**3 = 0.
-1, -2/5, 1
Let h(g) be the third derivative of 1/3*g**3 + 0 - g**2 + 1/96*g**4 - 1/1440*g**6 + 0*g**5 + 0*g. Let b(t) be the first derivative of h(t). Solve b(l) = 0.
-1, 1
Let b(x) be the third derivative of -x**6/30 - 4*x**5/15 - 2*x**4/3 - 3*x**2. Factor b(t).
-4*t*(t + 2)**2
Let y(t) be the first derivative of -2*t**3/3 - 6*t**2 - 18*t + 3. Let y(g) = 0. Calculate g.
-3
Let m(k) = -6*k**3 - 45*k**2 - 24*k + 9. Let u(v) = v**3 - v**2 - v - 1. Let p(r) = -m(r) + 3*u(r). What is q in p(q) = 0?
-4, -1, 1/3
Suppose 68*z**4 + 3*z - 68*z**4 - 3*z**3 +