e of x(v). Factor y(t).
-2*(t - 1)*(t + 1)**2
Suppose -6*u + 5*u + 2 = 0. Suppose -2 = -3*q + 4. Suppose -3*s - 2 + 3*s + 0*s + 4*s**q - 2*s**5 - u*s - 2*s**4 + 4*s**3 = 0. Calculate s.
-1, 1
Let z be (4/1)/((-30)/(-15)). Suppose -28*h**3 - 32*h**2 - z + 4*h - 12*h**4 - 14*h - 2 - 8*h - 2*h**5 = 0. What is h?
-2, -1
Suppose 0 = 4*u + 9 - 33. Factor 4*f + f**2 + f**2 + f - u*f - f**3.
-f*(f - 1)**2
Let r(j) be the first derivative of j**6/9 + j**5/6 + j**4/24 + 4. Factor r(h).
h**3*(h + 1)*(4*h + 1)/6
Factor -j**3 - 9*j**3 + 12*j**2 - 6*j**3 + 4*j**4.
4*j**2*(j - 3)*(j - 1)
Let y(t) be the first derivative of -1/5*t**5 + 0*t + 0*t**2 + 2/3*t**3 + 1/4*t**4 - 4. Factor y(x).
-x**2*(x - 2)*(x + 1)
Factor 1/4*n**2 + 0 - 1/4*n.
n*(n - 1)/4
Let n(c) be the second derivative of c**7/147 + c**6/105 - c**5/70 - c**4/42 - c. Factor n(h).
2*h**2*(h - 1)*(h + 1)**2/7
Let o(c) = c**5 - 2*c**4 + c**3 + 7*c**2 + c - 2. Let x(l) = -8*l**5 + 18*l**4 - 10*l**3 - 62*l**2 - 8*l + 18. Let p(t) = -52*o(t) - 6*x(t). Factor p(m).
-4*(m - 1)**2*(m + 1)**3
Let m be (1 + 1/(-3))*15. Suppose 5*i - m = -0*i. Factor 1/3*n**3 + 0 + 2/3*n - n**i.
n*(n - 2)*(n - 1)/3
Let l(j) be the third derivative of j**8/50400 + j**7/6300 + j**6/1800 + j**5/60 + j**2. Let q(u) be the third derivative of l(u). Factor q(g).
2*(g + 1)**2/5
Let r = -2891/5 - -579. Suppose -2*h**3 - r*h**4 - 6/5*h**2 + 2/5*h + 2/5 = 0. Calculate h.
-1, 1/2
Suppose z - 5*o + 11 = 0, -3*z + 29 = 2*z + 3*o. Factor 0*f**3 + 0*f + 1/5*f**z + 0 + 0*f**2.
f**4/5
Let t(x) = -3*x + 11. Let o be t(3). Suppose 2/13*k - 42/13*k**o + 4/13 = 0. Calculate k.
-2/7, 1/3
Let c(d) be the second derivative of -d**6/24 + 17*d**5/60 - 2*d**4/3 + 2*d**3/3 - 2*d**2 - 2*d. Let p(i) be the first derivative of c(i). Factor p(q).
-(q - 2)*(q - 1)*(5*q - 2)
Find y such that 7*y**2 - 1 + 3/2*y = 0.
-1/2, 2/7
Let p be (18/(-10))/((-6)/20). Let g(n) = -n**3 + 7*n**2 - 6*n. Let r be g(p). Suppose -1/6*v**3 - 1/6*v**2 + r*v + 0 = 0. What is v?
-1, 0
Let l(k) be the first derivative of -2*k**5/5 - k**4 + 2*k**2 + 2*k + 14. Determine u, given that l(u) = 0.
-1, 1
Let g(t) be the first derivative of t**6/120 + 3*t**5/40 + t**4/4 - 5*t**3/3 + 3. Let b(i) be the third derivative of g(i). What is m in b(m) = 0?
-2, -1
Let r(k) be the second derivative of 0 - 2/15*k**3 + 3*k + 1/30*k**4 + 0*k**2. Factor r(x).
2*x*(x - 2)/5
Factor 14/15 - 16/15*d + 2/15*d**2.
2*(d - 7)*(d - 1)/15
Factor -7*w**3 - 27*w**2 + 81*w - 81 + 6*w**3 + 4*w**3.
3*(w - 3)**3
Let g = -1 - -1. Suppose -2*k + g*k + 8 = 0. Let c(r) = 2*r**3 + r + 3. Let z(n) = -n**3 + n**2 - 2*n - 4. Let y(h) = k*c(h) + 3*z(h). Factor y(a).
a*(a + 1)*(5*a - 2)
Suppose 5*d + 9 = -3*s, s + 4*d + 7 = -3. Determine x, given that 9*x + x**2 + s*x**2 + 0*x**2 + 0*x**2 = 0.
-3, 0
Factor -4 + 0 - 4 + 12*g - 72*g**2 + 68*g**2.
-4*(g - 2)*(g - 1)
Let s(i) = -7*i - 4. Let o be s(-4). Suppose b = 2*u - 2, 2*u - 3*b = 6*u - o. Factor -2/3*n**2 - 2/3*n**u + 2/3 + 2/3*n.
-2*(n - 1)*(n + 1)**2/3
Let a(i) be the first derivative of 2*i + 0*i**4 - 1/135*i**6 - 2/27*i**3 + 1 + 1/9*i**2 + 1/45*i**5. Let t(g) be the first derivative of a(g). Factor t(o).
-2*(o - 1)**3*(o + 1)/9
Let y(j) be the second derivative of -j**9/45360 - j**8/10080 - j**7/7560 + j**4/4 + j. Let p(o) be the third derivative of y(o). Solve p(i) = 0.
-1, 0
Let o(a) be the second derivative of 2*a**6/15 - a**4/3 - 32*a. Solve o(d) = 0.
-1, 0, 1
Let -3*y**3 - 3*y**3 - 2*y**2 + 5*y**2 + 3*y**4 = 0. What is y?
0, 1
Let j(f) be the first derivative of f**4/2 - 14*f**3/3 + 15*f**2 - 18*f + 11. Suppose j(b) = 0. Calculate b.
1, 3
Let d(t) be the third derivative of -t**6/24 - 2*t**5/3 - 10*t**4/3 - 3*t**2. What is j in d(j) = 0?
-4, 0
Factor 8/11 + 2/11*p**2 + 10/11*p.
2*(p + 1)*(p + 4)/11
Let r(s) = -5*s**2 - 8*s + 6. Let z(f) = f**2 + 5*f - 1 - f + 0 - 3*f. Let a(u) = -r(u) - 6*z(u). Factor a(q).
-q*(q - 2)
Factor 8/5 + 46/15*t - 2/15*t**3 + 4/3*t**2.
-2*(t - 12)*(t + 1)**2/15
Let -12*z**3 - 5*z**2 - z**2 + 3*z + 6*z + 6 + 3*z**5 = 0. What is z?
-1, 1, 2
Let t(o) = -o**3 + 11*o**2 - 10*o + 1. Let a be t(10). Let i = a - -1. Let 2/7*q**4 - 2/7*q**i + 2/7*q**3 - 2/7*q**5 + 0 + 0*q = 0. What is q?
-1, 0, 1
Let f(r) = r**2 + 5*r - 2. Let c be f(-7). Factor -c*p**4 - 4*p**4 + p**4 - 9*p**3 + 6*p**2.
-3*p**2*(p + 1)*(5*p - 2)
Let h(m) be the first derivative of 3/4*m + 2*m**3 - 9/8*m**4 - 3 + 9/4*m**2 - 27/20*m**5. Find p, given that h(p) = 0.
-1, -1/3, 1
Let 5/2*k**2 - 3/2*k**3 + 1/2*k**5 - k + 0 - 1/2*k**4 = 0. What is k?
-2, 0, 1
Let o(t) be the first derivative of t**4/36 + t**3/18 - 4*t - 1. Let x(f) be the first derivative of o(f). Factor x(y).
y*(y + 1)/3
Let n(f) be the first derivative of -2*f**3/9 + 4*f**2/3 - 3. Solve n(p) = 0.
0, 4
Suppose -3*f = 2 - 8. Let u be (5/f)/5*6. Factor u + v**2 + 0 - 2*v - 2.
(v - 1)**2
Let u(l) be the third derivative of 0*l - 1/80*l**5 + 0 + 1/96*l**4 + 1/240*l**6 + 0*l**3 + 8*l**2. Determine n, given that u(n) = 0.
0, 1/2, 1
Let g(b) = b**3 + b**2 - 1. Suppose q + 21 = -5*w + 60, 5 = w. Let y(n) = -1 + 6*n + 11 - 6*n**3 - q*n**2 - 4. Let t(i) = -8*g(i) - y(i). Factor t(l).
-2*(l - 1)**3
Let -a**2 - 1 + 5 - 1 - 2 = 0. What is a?
-1, 1
Suppose 0 = 2*j + 3*m - 23, 2*m = -5*j - 3*m + 65. Suppose 17*a - 2 = j*a. Solve 0 + 2/9*t + 2/9*t**a = 0 for t.
-1, 0
Let t(j) be the third derivative of j**8/840 + j**7/525 - j**6/60 - j**5/150 + 2*j**4/15 - 4*j**3/15 - 11*j**2. Factor t(n).
2*(n - 1)**3*(n + 2)**2/5
Let i(v) = v**2 - v + 2. Let c(o) = -2*o**2 - 9*o + 30. Let d(x) = -4*c(x) - 12*i(x). Factor d(l).
-4*(l - 6)**2
Let t(u) = u - 7. Let n be t(7). Let f(g) be the second derivative of 1/40*g**5 - 1/12*g**3 + g + n*g**2 + 0*g**4 + 0. Solve f(r) = 0 for r.
-1, 0, 1
Solve -22*k**3 + 2*k**3 + 5*k**2 - 12*k**5 - 39*k**4 - 18*k**5 - 16*k**4 = 0 for k.
-1, 0, 1/6
Factor 11/8*w + 1/8*w**2 + 5/4.
(w + 1)*(w + 10)/8
Let w(a) be the second derivative of -a**5/80 - a**4/16 - a**3/12 + 4*a. What is k in w(k) = 0?
-2, -1, 0
Suppose 4*n = 5*d - 7, -n - 7 = 3*d - 6*d. Solve -z**3 + 0*z - 3*z**2 - 2*z + d*z + z**4 + 2*z**2 = 0 for z.
-1, 0, 1
Let q(h) be the third derivative of h**7/735 + h**6/105 + h**5/70 - h**4/21 - 4*h**3/21 - h**2. Determine w, given that q(w) = 0.
-2, -1, 1
Let s(z) be the first derivative of 1/6*z**3 + 3/4*z**2 + z + 3. Factor s(b).
(b + 1)*(b + 2)/2
Let n(d) be the second derivative of -1/420*d**5 + 1/3*d**3 + 0*d**4 + 1/1260*d**6 + 0*d**2 + 2*d + 0. Let x(f) be the second derivative of n(f). Factor x(i).
2*i*(i - 1)/7
Let l be (28/(-35) + 2)*(-2 + 3). Factor 0 - 3/5*w**4 + 12/5*w**2 + l*w**3 - 24/5*w.
-3*w*(w - 2)**2*(w + 2)/5
Let f(g) be the third derivative of 0*g**3 + 0*g**4 - 1/24*g**6 + 0 + 2*g**2 - 4/105*g**7 - 1/60*g**5 + 0*g - 1/84*g**8. Factor f(s).
-s**2*(s + 1)*(2*s + 1)**2
Let z(r) = -r**3 + r**2 - r - 1. Let p(w) = -16*w**3 + 16*w**2 - 28*w - 20. Let g(n) = -p(n) + 20*z(n). Find y, given that g(y) = 0.
-1, 0, 2
Let o(h) = -h**3 + 20*h**2 + 19*h + 4. Let s(m) = 5*m**3 - 80*m**2 - 75*m - 15. Let r(t) = 25*o(t) + 6*s(t). Let r(q) = 0. What is q?
-2, -1
Let r(f) be the first derivative of -f**4/16 - 3*f**3/4 - 15*f**2/8 + 25*f/4 - 54. Factor r(p).
-(p - 1)*(p + 5)**2/4
Solve 6 + 12*g**2 - 3*g**3 - 6 = 0.
0, 4
Let k(c) be the second derivative of c**4/48 - c**2/8 + 3*c. Factor k(n).
(n - 1)*(n + 1)/4
Let h be 1310/3*6/15. Let m = -173 + h. Solve 1/3 - 4/3*k**4 - 5/3*k**3 + k**2 + m*k = 0.
-1, -1/4, 1
Let u(k) be the third derivative of k**2 + 1/240*k**6 + 0*k**3 - 1/840*k**7 - 1/48*k**4 + 1/240*k**5 + 0 + 0*k. Suppose u(q) = 0. What is q?
-1, 0, 1, 2
Let k = -906 + 909. Factor -1/2*r**k + 1/4*r**5 + 0*r**2 + 0 + 1/4*r + 0*r**4.
r*(r - 1)**2*(r + 1)**2/4
Factor 1/3*a + 0 - 2/3*a**2 + 1/3*a**3.
a*(a - 1)**2/3
Let l = 0 - -3. Let -w**4 + w + 4*w**l - w**2 - 4*w**2 + w = 0. What is w?
0, 1, 2
Let k(i) be the first derivative of i**5/5 - 5*i**4/12 - 7*i**3/6 + i**2 + 3*i + 2. Let c(u) be the first derivative of k(u). Factor c(o).
(o - 2)*(o + 1)*(4*o - 1)
Suppose 0 - 6/11*b**2 - 2/11*b**4 + 6/11*b**3 + 2/11*b = 0. Calculate b.
0, 1
Let j(h) be the third derivative of h**7/315 + h**6/45 + h**5/18 + h**4/18 + 29*h**2. Determine b so that j(b) = 0.
-2, -1, 0
Let v be (2 - 22/(-5)) + 10/(-25). Let h(b) be the thir