vative of t**8/672 + t**7/105 + t**6/40 + t**5/30 + t**4/48 + 7*t**2. Find y, given that r(y) = 0.
-1, 0
Let v be ((-5055)/100)/((-3)/4). Let k = v + -67. Factor -k*d**2 + 0*d + 0*d**3 + 1/5*d**4 + 1/5.
(d - 1)**2*(d + 1)**2/5
Let m(r) be the first derivative of -2*r**3/27 + 5*r**2/9 - 18. Factor m(q).
-2*q*(q - 5)/9
Let k(h) = -7*h**4 - 9*h**3 - 3*h**2 + h + 6. Let i(j) = j**3 - 3 + j + j**4 + j**2 + 4 - 3 + 1. Let d(q) = 4*i(q) + k(q). Factor d(o).
-(o - 1)*(o + 1)**2*(3*o + 2)
Let i(n) be the third derivative of -n**7/350 + n**6/600 + n**5/100 - n**4/120 - 4*n**2. Factor i(y).
-y*(y - 1)*(y + 1)*(3*y - 1)/5
Suppose -j - 2 = 5*a, -4 = -2*j - a - a. Let f = 5 - j. Factor 0*n**3 + 0*n**3 - f - 7*n - n**2 + 2*n + 2*n**3.
(n - 2)*(n + 1)*(2*n + 1)
Let u be -2 + 2 + (-1)/(-20). Let o(v) be the first derivative of u*v**4 - 1 + 0*v - 1/15*v**3 + 0*v**2. Factor o(x).
x**2*(x - 1)/5
Suppose -112*t = -106*t. Factor -4/3*j**2 + t + 2/3*j + 2/3*j**3.
2*j*(j - 1)**2/3
Let -54/7 - 18/7*q + 6/7*q**2 + 2/7*q**3 = 0. What is q?
-3, 3
Factor -z**2 + 2*z**2 + z**2 - z**2 + z**3.
z**2*(z + 1)
Let o(n) be the third derivative of n**5/100 + n**4/4 + 9*n**3/10 - 9*n**2 + 5. Find l such that o(l) = 0.
-9, -1
Let r(m) = m**3 + m**2 - 3*m - 2. Let i be r(-2). Let u = i + 2. Factor -2*w**2 - 2 + u*w + 2.
-2*w*(w - 1)
Let c(a) = 5*a**4 - 17*a**2 + 6. Let f(d) = -14*d**4 - d**3 + 50*d**2 - d - 17. Let g(p) = 17*c(p) + 6*f(p). Factor g(n).
n*(n - 3)*(n - 2)*(n - 1)
Let r be -1 + 2 + (-3)/5. Let n be 24/9*6/10. Factor -r*c**2 - n*c**5 - 18/5*c**3 + 0 + 2/5*c - 22/5*c**4.
-2*c*(c + 1)**3*(4*c - 1)/5
Let m(s) be the first derivative of -s**4/32 - s**3/3 - s**2 + 14. Factor m(y).
-y*(y + 4)**2/8
Suppose 0*l = -l + 3*i + 93, 0 = 4*i + 12. Let f be 2/8 + 75/l. What is r in 4/7*r + f*r**3 - 2/7*r**4 + 0 - 10/7*r**2 = 0?
0, 1, 2
Let w(u) be the first derivative of -u**6/6 - 7*u**5/5 - 19*u**4/4 - 25*u**3/3 - 8*u**2 - 4*u + 10. Let w(d) = 0. What is d?
-2, -1
Let v(j) be the second derivative of j**4/14 + 8*j**3/21 + 16*j**2/21 - j. Determine m, given that v(m) = 0.
-4/3
Let l = 19/26 + -3/13. Factor l*x**2 + 1/2 + x.
(x + 1)**2/2
Let g(c) be the second derivative of -c**8/1176 - 2*c**7/735 - c**6/420 - c**2/2 + 3*c. Let k(u) be the first derivative of g(u). Find t, given that k(t) = 0.
-1, 0
Let u(p) be the first derivative of -2*p**3/3 - p**2 - 9. Factor u(k).
-2*k*(k + 1)
Let t(d) = -d + 11. Let v be t(9). Suppose -18 + o**3 + 18 - 2*o**v = 0. Calculate o.
0, 2
Suppose 2*c + 8 = 4*c. Suppose 0 = c*p + 2*n - 4, 2*p - 4*p = 4*n - 8. Factor 1/3*m + 1/3*m**2 + p.
m*(m + 1)/3
Let v(i) = 21*i**3 - 27*i**2 + 24*i. Let m(s) = 5*s**3 - 7*s**2 + 6*s. Let j(l) = 9*m(l) - 2*v(l). Factor j(g).
3*g*(g - 2)*(g - 1)
Let j(q) be the second derivative of -q**6/1620 - q**3/3 - 3*q. Let s(t) be the second derivative of j(t). Factor s(a).
-2*a**2/9
Suppose 3 - 13 = -5*w. Let v = 31/10 + -13/5. Determine k, given that v*k**w + 0 + 0*k + 1/2*k**3 = 0.
-1, 0
Factor -2/3*w**2 - 16/3*w - 32/3.
-2*(w + 4)**2/3
Let b = -3 - -5. Let f be (12/16)/(b/8). Find j such that 3*j**4 + j**2 + 3*j**3 - 3*j**f - 4*j**3 = 0.
0, 1/3, 1
Let u(j) = -9*j**3 + 3*j**2 - 3*j + 9. Let b(i) = 8*i**3 - 2*i**2 + 2*i - 8. Let s(v) = 6*b(v) + 5*u(v). Factor s(h).
3*(h - 1)*(h + 1)**2
Let j(u) be the first derivative of -2*u**5/85 + u**4/34 + 2. Determine o, given that j(o) = 0.
0, 1
Let u be ((-1260)/(-55))/4 - 5. Factor 4/11*t**2 - 2/11*t**5 + 0*t + u*t**4 - 10/11*t**3 + 0.
-2*t**2*(t - 2)*(t - 1)**2/11
Let l(v) = -7*v**5 - 11*v**4 - 2*v**3 + 6*v**2 - v - 5. Let f(w) = -3*w**5 - 5*w**4 - w**3 + 3*w**2 - 2. Let t(s) = 10*f(s) - 4*l(s). What is c in t(c) = 0?
-2, -1, 0, 1
Factor -3/4*d**3 - 105/4*d + 75/4 + 33/4*d**2.
-3*(d - 5)**2*(d - 1)/4
Factor -3*h**2 + 36*h - 48*h - 2 - 5 - 5.
-3*(h + 2)**2
Factor 8*s + 0*s**3 + 4*s**3 + 12*s**2 + 0*s**3.
4*s*(s + 1)*(s + 2)
Let a(y) be the first derivative of -y**5/10 - y**4/8 + y**3/3 + 5. Find v such that a(v) = 0.
-2, 0, 1
Find l, given that 1/2*l**3 + 4 - 2*l - 3*l**2 + 1/2*l**4 = 0.
-2, 1, 2
Let n = 422/5 + -84. Let x(i) be the first derivative of -n*i - 3 + 7/15*i**3 + 1/2*i**2. Determine f so that x(f) = 0.
-1, 2/7
Let h(d) be the third derivative of -49*d**7/15 - 49*d**6/3 - 112*d**5/5 - 44*d**4/3 - 16*d**3/3 - 4*d**2. Factor h(k).
-2*(k + 2)*(7*k + 2)**3
Factor 4/3*g + 8*g**3 + 10/3*g**4 + 6*g**2 + 0.
2*g*(g + 1)**2*(5*g + 2)/3
Let x(i) be the first derivative of -1/18*i**4 + 2/9*i**3 + i - 2 - 1/3*i**2. Let p(b) be the first derivative of x(b). Factor p(h).
-2*(h - 1)**2/3
Let p(z) = 3*z**4 - 6*z**3 - 7*z**2 + 26*z - 10. Let q(t) = -t**2 - t - 1. Let n(i) = p(i) + 2*q(i). Factor n(y).
3*(y - 2)*(y - 1)**2*(y + 2)
Suppose 0 = 14*y - 9*y - 30. Let m(l) be the second derivative of 0 + 3*l + 0*l**4 - 2/15*l**3 - 1/5*l**2 + 1/75*l**y + 1/25*l**5. Solve m(b) = 0.
-1, 1
Suppose -2*k + 4*q = -12, 4*k = 2*q + 24 - 6. Solve 2*i**2 + 5*i - 5*i - 3*i**2 + i**k = 0 for i.
-1, 0, 1
Suppose 0 = -4*i - 7 + 23. Factor 10*z + 3 - 10*z**2 - i*z**2 - 6 + 7.
-2*(z - 1)*(7*z + 2)
Let v(o) = -o**2 + 9*o - 11. Let t be v(7). Let j(w) be the first derivative of 1/3*w**t + 3 - w**2 + w. Suppose j(q) = 0. What is q?
1
Let p(x) = -x**3 - 6*x**2 + 6*x - 4. Let t be p(-7). Suppose -2*m - 4*d + 14 = -m, t*d = 4*m + 1. Solve k + 2*k**m + 0*k - 2*k**2 - k**2 = 0 for k.
0, 1
Suppose 27*z - 22*z - 10 = 0. Suppose 0 = z*s - m - 8, -3*s + 2*s - 4*m = 5. Let 0*k**2 + 0*k**s + 0 + 0*k + 2/9*k**4 = 0. What is k?
0
Let u(s) be the first derivative of -s**5/30 + s**4/8 - s**3/6 + s**2/12 + 12. Suppose u(k) = 0. Calculate k.
0, 1
Let u(m) be the second derivative of 0 - 3*m**2 + 2*m - 3/2*m**3 - 1/4*m**4. What is p in u(p) = 0?
-2, -1
Let q(o) be the second derivative of o**7/6 + o**6/15 - 7*o**5/20 - o**4/6 + 4*o. Determine i, given that q(i) = 0.
-1, -2/7, 0, 1
Suppose -9 = -2*i - i, 16 = 2*a + 4*i. Determine p, given that -9*p**4 + 3 + 6*p**a + 2*p + 7*p + 0*p**5 - 6*p**3 - 3*p**5 + 0*p = 0.
-1, 1
Suppose -a - 2*a = -9. Factor 1 - 8*x**5 + x**2 - 4*x - 2*x**4 - x**3 + x**4 + 11*x**3 - a*x**4.
-(x + 1)**2*(2*x - 1)**3
Solve 20*x**4 - 20*x**4 + 42*x**4 + 4*x**2 - x**2 - 21*x**3 - 24*x**5 = 0 for x.
0, 1/4, 1/2, 1
Let o(s) be the first derivative of -4*s**4 + 20*s**3/3 - 2*s**2 - 5. Determine l so that o(l) = 0.
0, 1/4, 1
Let r(f) be the second derivative of -f**7/42 + f**6/30 + 3*f**5/20 - f**4/12 - f**3/3 + 2*f - 2. Factor r(a).
-a*(a - 2)*(a - 1)*(a + 1)**2
Suppose 0 = -2*l - l - 30. Let k be (8/50)/(l/(-25)). Factor -k*y**2 + 0 + 0*y.
-2*y**2/5
Factor 2*s - 3*s - 32*s**3 - 64*s**4 + s - 4*s**2.
-4*s**2*(4*s + 1)**2
Factor -28/3*c**2 - 40/3*c + 16/3*c**3 + 0 + 4/3*c**4.
4*c*(c - 2)*(c + 1)*(c + 5)/3
Determine b, given that 2*b + 116*b**2 - 1 - 120*b**2 + 1 = 0.
0, 1/2
Let l = 10 + -6. Let k(h) be the first derivative of -1/2*h - 19/16*h**l - 1/8*h**2 + 7/20*h**5 + 1 + 5/4*h**3. Factor k(i).
(i - 1)**3*(7*i + 2)/4
Suppose -g = g - 120. Let d be 2/6 - (-115)/g. Factor -1/2*t + d*t**2 + 0.
t*(9*t - 2)/4
Let s(k) = 3*k**3 + 16*k**2 - k**4 - 11*k**5 + 5*k**5 + 2 + 2*k + 4*k**3. Let y(j) = -j**5 - j**4 - j**3 - j. Let q(c) = 4*s(c) - 28*y(c). Solve q(l) = 0.
-2, -1
Let v = 4024/9 + -446. Solve -8/9 - 2/9*z**3 - v*z**2 - 16/9*z = 0 for z.
-2, -1
What is n in -2/7*n**3 + 8/7 - 8/7*n**2 + 2/7*n = 0?
-4, -1, 1
Determine m, given that -2*m**4 - 8*m - 35 + 8*m**3 - 35 + 6*m**2 + 4*m**4 + 62 = 0.
-2, -1, 1
Let y(q) be the second derivative of 5/27*q**3 - 1/90*q**5 + 0 - 1/135*q**6 + 1/18*q**4 + 5*q + 2/9*q**2. Suppose y(u) = 0. What is u?
-1, 2
Factor -8*w**4 - w + 6*w**3 - 2*w + 2*w**5 - 4*w - w + 8*w**2.
2*w*(w - 2)**2*(w - 1)*(w + 1)
Let p(k) be the first derivative of -2/15*k**3 - 5 + 1/10*k**4 + 0*k**2 + 0*k. What is m in p(m) = 0?
0, 1
Let g(h) be the third derivative of -h**7/630 + h**6/36 - 13*h**5/180 - 5*h**4/6 - 2*h**3 + 7*h**2. Factor g(v).
-(v - 6)**2*(v + 1)**2/3
Let c be (27/9)/((-6)/(-10)). Suppose 0 + 11/5*b**3 - 9/5*b**c - 2/5*b - 3/5*b**4 + 3/5*b**2 = 0. What is b?
-1, -2/3, 0, 1/3, 1
Find o such that -6/5 + 3/5*o + 3/5*o**2 = 0.
-2, 1
Let l(x) be the second derivative of x**10/30240 + x**9/5040 + x**8/2240 + x**7/2520 + x**4/12 + x. Let m(n) be the third derivative of l(n). Factor m(z).
z**2*(z + 1)**3
Let 