**z + 0 + 8*r**2.
-3*(r + 1)**2
Let i(z) = -z**2 + 20*z + 11. Suppose 4*l = -22 + 66. Let w(d) = -d**2 + 4*d - 1. Let f be w(3). Let u(c) = -4*c - 2. Let j(q) = f*i(q) + l*u(q). Factor j(b).
-2*b*(b + 2)
Let c(n) be the second derivative of -5/4*n**4 - n + 3/10*n**6 + 0 + 1/2*n**3 + 3*n**2 - 3/20*n**5. Factor c(z).
3*(z - 1)**2*(z + 1)*(3*z + 2)
Let 8/3*b + 2/9*b**2 - 2/3*b**3 - 8/9 = 0. Calculate b.
-2, 1/3, 2
Let -6*v**3 - 3 + 33/2*v - 21*v**2 - 21/2*v**5 + 24*v**4 = 0. What is v?
-1, 2/7, 1
Let l(i) be the second derivative of -5*i**7/49 - 2*i**6/105 + 3*i**5/14 + i**4/21 + 2*i - 2. What is o in l(o) = 0?
-1, -2/15, 0, 1
Let q(b) be the third derivative of b**9/30240 + b**8/10080 - b**7/1260 - b**5/15 + 2*b**2. Let z(k) be the third derivative of q(k). Factor z(o).
2*o*(o - 1)*(o + 2)
Suppose 3*q - q - 8 = 0. Factor 0 + c**2 + 2 - 3*c - 5*c**2 + q*c**3 - 2*c**5 + c + 2*c**4.
-2*(c - 1)**3*(c + 1)**2
Let m(i) be the first derivative of i**7/3360 + i**6/360 + i**5/120 - 2*i**3/3 + 2. Let s(y) be the third derivative of m(y). Factor s(u).
u*(u + 2)**2/4
Let j(h) be the first derivative of 7*h**6/6 + 8*h**5/5 + h**4/4 - 8. Factor j(i).
i**3*(i + 1)*(7*i + 1)
Let l = 23 + -21. Determine i so that 3*i**l + 3*i**3 - 3*i - 27*i**4 + 42*i**4 - 18*i**4 = 0.
-1, 0, 1
Suppose -i - 407 + 410 = 0. Let 15/2*w**4 + 3 + 63/2*w**2 - 33/2*w - 51/2*w**i = 0. Calculate w.
2/5, 1
Let t = -325/37 + 16684/185. Let r = t - 81. Suppose -4/5*p**3 + 0*p**4 + 0*p**2 + 2/5*p + r*p**5 + 0 = 0. What is p?
-1, 0, 1
Let j(a) = -4*a**5 - 6*a**4 + 8*a**2 - 6*a - 6. Let s(l) = -7*l**5 - 12*l**4 + 16*l**2 - 11*l - 11. Let q = 15 + -21. Let z(p) = q*s(p) + 11*j(p). Factor z(c).
-2*c**2*(c - 2)**2*(c + 1)
Let w(s) = -s**2 - 3*s + 7. Let t(r) = 1. Let n(g) = -14*t(g) + 2*w(g). Solve n(h) = 0.
-3, 0
Let v = 10 - 7. Let s(r) be the second derivative of r + 1/24*r**4 + 0*r**2 + 0 + 0*r**v. Let s(j) = 0. Calculate j.
0
Suppose -18/13*j**2 + 0 - 16/13*j - 2/13*j**3 = 0. What is j?
-8, -1, 0
Let k(u) be the second derivative of -u**5/15 + u**4/2 + u**2 - 2*u. Let h(q) be the first derivative of k(q). Factor h(d).
-4*d*(d - 3)
Let s(n) be the second derivative of -n**4/72 + n**3/9 - n**2/4 + 9*n. Suppose s(y) = 0. Calculate y.
1, 3
Suppose -3*r = 2*r - 40. Suppose 7*k = 3*k + r. Factor -2/13*p**k + 0 - 2/13*p**3 + 2/13*p + 2/13*p**4.
2*p*(p - 1)**2*(p + 1)/13
Let b(u) be the third derivative of -u**7/210 - u**6/24 - 2*u**5/15 - u**4/6 + 18*u**2. Let b(c) = 0. Calculate c.
-2, -1, 0
Find a, given that 1/2*a + 0 + 1/2*a**3 - a**2 = 0.
0, 1
Let z(s) = -2*s**4 + 6*s**3 - 2*s**2 - 10*s - 10. Let y(w) = -w**3 + w + 1. Let x be -8 - (0 - -3 - 1). Let g(r) = x*y(r) - z(r). Solve g(t) = 0 for t.
-1, 0
Factor 1/4*l**4 + 1/4*l**5 - 3/4*l**3 - 5/4*l**2 - 1/2*l + 0.
l*(l - 2)*(l + 1)**3/4
Determine w so that -3/5*w**4 + 27/5*w + 0 - 3*w**3 - 9/5*w**2 = 0.
-3, 0, 1
Suppose 11 = 3*d + 8. Let u be (-19)/7 + 3/d. Factor -8/7*b + 2/7*b**4 + 12/7*b**2 - 8/7*b**3 + u.
2*(b - 1)**4/7
Factor -138 + 2*g + 138 + g**2.
g*(g + 2)
Let v(f) = f - 8. Let a be v(8). Suppose s - 2 = -a. Let -7 - 1 - 2*p**s + 2*p + 6*p = 0. Calculate p.
2
Let l be -3 - (-1*1 + 9 + -14). Determine k so that 3/2*k**l + 1/2*k + 1/2*k**4 + 3/2*k**2 + 0 = 0.
-1, 0
Factor -8*g**3 + 45*g + 37*g - 4*g**2 - 8 + 32*g - 94*g.
-4*(g - 1)*(g + 2)*(2*g - 1)
Let a(k) be the first derivative of -2*k**9/567 - k**8/315 - k**7/1260 + k**3/3 + 3. Let f(i) be the third derivative of a(i). Let f(m) = 0. What is m?
-1/4, 0
Let f(k) be the third derivative of -k**7/8820 - k**6/630 - k**5/105 - k**4/24 - 2*k**2. Let m(q) be the second derivative of f(q). Let m(c) = 0. What is c?
-2
Let n be (1 + -2)/(8/(-16)). Find u, given that -8*u**2 + n*u**3 + 4*u - 2*u + 4*u = 0.
0, 1, 3
Let v = 1015/72 + -111/8. Let -4/9*j + 2/9*j**2 + v = 0. What is j?
1
Let s(y) be the first derivative of -1/16*y**4 - 3 + 1/20*y**5 + 0*y + 1/8*y**2 - 1/12*y**3. Determine z, given that s(z) = 0.
-1, 0, 1
Let t be 4 + (-2 - -2 - 1). Let i be (-1)/4*24/(-15). Find w such that 2/5*w**t + 0 + 0*w - i*w**2 = 0.
0, 1
Let n(k) be the second derivative of k**6/120 + k**5/20 + k**4/16 - k**3/6 - k**2/2 + 11*k. Determine u so that n(u) = 0.
-2, -1, 1
Suppose 0 = -j - j + 20. Suppose -j = -5*c, h + 0*c - 16 = -4*c. Solve -10*f**2 + 7*f**3 - h*f**5 + 10*f**4 + 3*f - f**3 - f = 0 for f.
-1, 0, 1/4, 1
Let o = -118 - -118. Suppose 4/5*a**2 + o*a + 0 - 6/5*a**5 + 6/5*a**3 - 4/5*a**4 = 0. What is a?
-1, -2/3, 0, 1
Let q(g) be the second derivative of -g**8/20160 + g**7/7560 - g**4/4 + 2*g. Let c(h) be the third derivative of q(h). Find j, given that c(j) = 0.
0, 1
Suppose -8*t = -7*t. Determine p, given that -2/3*p**2 - 2/9*p**4 + t + 2/3*p**3 + 2/9*p = 0.
0, 1
Factor 16*x**2 + 12*x**3 - 6*x + 4*x**2 + x**2.
3*x*(x + 2)*(4*x - 1)
Suppose 0 = -5*w + 4*w - 8*w. Let 2/5*a**3 + 2/5*a**2 + w*a + 0 = 0. Calculate a.
-1, 0
Let u(h) be the second derivative of 2*h**6/15 - h**4/3 + 5*h. What is t in u(t) = 0?
-1, 0, 1
Factor 2/9*k + 2/9 + 2/9*k**5 + 2/9*k**4 - 4/9*k**2 - 4/9*k**3.
2*(k - 1)**2*(k + 1)**3/9
Let u(t) be the third derivative of -t**7/525 - t**6/150 - t**5/150 - 5*t**2. Determine w, given that u(w) = 0.
-1, 0
Let k(o) be the first derivative of 0*o**2 - 16*o + 4/3*o**3 - 3. Suppose k(u) = 0. Calculate u.
-2, 2
Let w = 14 + -12. Suppose -a + 4 = w*m, a - 4 = 6*m - m. Solve -1/3*r**4 + 2/3*r**3 + m*r - 1/3*r**2 + 0 = 0.
0, 1
Solve 4 + 6*b**2 - 5*b**2 - 5*b**2 = 0.
-1, 1
Suppose -4*s + 22 = -3*d + 61, -d + 5*s = -13. Suppose 3*x - d = 2. Factor 0*h**2 + 0*h - 2/5*h**x + 0 + 0*h**3 + 2/5*h**4.
-2*h**4*(h - 1)/5
Let w(k) be the second derivative of k**6/300 - k**4/20 - 2*k**3/15 + k**2 + k. Let i(s) be the first derivative of w(s). Factor i(c).
2*(c - 2)*(c + 1)**2/5
Let -1 - 5/4*f**2 - 11/4*f + 1/2*f**3 = 0. What is f?
-1, -1/2, 4
Let b be (-2)/3 - 62/(-3). Suppose 5*o + 3*n = -5, 4*n = 8*n + b. Solve -2*r**o - 5 - 2*r + 5 = 0.
-1, 0
Let c(x) = x**2 + 2. Let m be c(0). Let v(z) be the third derivative of 1/150*z**5 - m*z**2 + 0*z**3 + 0*z + 0 - 1/60*z**4. Factor v(s).
2*s*(s - 1)/5
Suppose 4*v - 20 = -v. Let y = 37 - 101/3. Factor -34/3*d**v + y*d**5 + 0 - 22/3*d**2 + 14*d**3 + 4/3*d.
2*d*(d - 1)**3*(5*d - 2)/3
Let l(g) be the third derivative of -g**7/105 + g**6/60 + g**5/30 - g**4/12 - 2*g**2. Factor l(u).
-2*u*(u - 1)**2*(u + 1)
Factor 1 - 4*h**2 + 2*h**2 + 1 + 0.
-2*(h - 1)*(h + 1)
Let z(y) be the second derivative of y**6/150 + 3*y**5/50 + 13*y**4/60 + 2*y**3/5 + 2*y**2/5 + 8*y. Suppose z(f) = 0. What is f?
-2, -1
Let h = 21343/942 + 3/314. Let w = 346/15 - h. Factor w*r**3 - 2/5 + 2/5*r**2 - 2/5*r.
2*(r - 1)*(r + 1)**2/5
Let s(k) = 9*k**3 + 16*k**2 + 26*k - 1. Let y(r) = -r**3 + r**2 - r + 1. Let d(f) = -2*s(f) - 10*y(f). Factor d(a).
-2*(a + 1)*(a + 4)*(4*a + 1)
Let g(v) = -3*v**4 + 5*v**3 + 3*v**2 - 5*v + 7. Let y(k) = -3*k + k**3 - 4 + 2*k + 5. Let q(f) = 3*g(f) - 21*y(f). Factor q(h).
-3*h*(h - 1)*(h + 1)*(3*h + 2)
Let c(j) = 9*j + 1 - 2*j**4 + 3*j - 1 - 22*j**2. Let g(a) = -a**4 - 9*a**2 + 5*a. Let s(y) = -5*c(y) + 12*g(y). Determine h so that s(h) = 0.
-1, 0, 1
Let g = 504736/15 - 33637. Let k = 67/5 - g. Factor 49/3*a**3 - 8*a + 7*a**2 + k.
(a + 1)*(7*a - 2)**2/3
Suppose 3*y = 5*z - 6, 0 = -5*y - 4*z - 8 - 2. Let j = 2 - y. Solve -14/11*i**3 + 0*i + 14/11*i**5 + 4/11*i**j - 4/11*i**2 + 0 = 0.
-1, -2/7, 0, 1
Let b be (-2)/(7/((-21)/2)). Let i(k) be the first derivative of 1/16*k**4 - 3 + 0*k + 0*k**b - 1/8*k**2. Factor i(n).
n*(n - 1)*(n + 1)/4
Let n = -37 + 335/9. Factor 0 - 4/9*b + n*b**2.
2*b*(b - 2)/9
Suppose 6 = 4*j + 2. Suppose -5 = -2*d - j. Determine v, given that 1/2 - 1/2*v**d + 0*v = 0.
-1, 1
Let f(a) be the third derivative of -a**5/210 + a**4/28 + 5*a**2. Suppose f(d) = 0. Calculate d.
0, 3
Let g = -25 + 27. Let r(f) be the third derivative of 0*f - 1/90*f**5 + 0 - 1/12*f**4 + 2*f**g - 2/9*f**3. Solve r(t) = 0.
-2, -1
Let r = 18 - 18. Suppose 0*q**3 + 0*q + 0*q**2 + r - 2/5*q**4 = 0. What is q?
0
Let l(j) be the first derivative of -2*j**5/15 + j**4/3 - 2*j**3/9 + 9. Factor l(a).
-2*a**2*(a - 1)**2/3
Let z = -31 + 37. Let j(f) be the third derivative of 1/420*f**7 + 1/120*f**z - 1/48*f**4 + 1/12*f**3 - 1/60*f**5 - 1/672*f**8 + 0*f + 3*f**2 + 0. Factor j(d).
-(d - 1)**3*(d +