*3 + 0*j**5 - 18*j**4 - w*j**5.
-2*j**2*(j + 1)**2*(4*j + 1)
Factor -y - 4*y**2 + y**3 - 2*y**2 + 5*y + 5*y.
y*(y - 3)**2
Suppose 1 = -6*l + 7. Let b be 4 - (0 + 1)/l. Let -2/3*u - 2*u**4 - 10/3*u**2 + 0 - 14/3*u**b = 0. Calculate u.
-1, -1/3, 0
Let a(u) be the third derivative of -u**5/60 - u**4/4 - 5*u**3/6 + 32*u**2. Factor a(q).
-(q + 1)*(q + 5)
Let w(x) be the second derivative of x**7/14 + 3*x**6/10 - 9*x**5/10 - 5*x**4/2 + 21*x**3/2 - 27*x**2/2 - 17*x. Factor w(q).
3*(q - 1)**3*(q + 3)**2
Let u(g) = g - 2. Let r be u(5). Factor -3*d**2 + 5*d + d + 2*d**2 - d**2 - 2*d**4 + 4 - 6*d**r.
-2*(d - 1)*(d + 1)**2*(d + 2)
Suppose 4*y - 20 = 4*x - 0*x, -y = -2*x - 11. Let r be 57/12 - x/(-8). Factor -t**4 + 3*t + 2*t**r + t - 6*t - 1 + 2*t**3.
(t - 1)*(t + 1)**3
Let z = -216 + 216. Let 1/5*w - 2/5*w**2 + 1/5*w**3 + z = 0. What is w?
0, 1
Suppose -3*w - 6 = -3*h + 3, 2*w + 3 = h. Factor -2/11*k**2 - 2/11*k**3 + 0 + w*k.
-2*k**2*(k + 1)/11
Let f = -18 + 20. Let r be f/(-10) - 52/(-10). Find c, given that 52/7*c**3 + 4/7 + 22/7*c + 48/7*c**2 + 6/7*c**r + 4*c**4 = 0.
-1, -2/3
Suppose -3 = -2*u + c - 1, 4*u = -5*c - 10. Let v(f) be the second derivative of -5/48*f**4 + 7/24*f**3 - 1/4*f**2 + 2*f + u. Factor v(r).
-(r - 1)*(5*r - 2)/4
Let w be (-6)/(-14) + 12/(-126). Factor w*k**2 + 0 + 1/3*k.
k*(k + 1)/3
Let g(c) be the first derivative of -2*c**5/5 + 2*c**3/3 - 3. Factor g(p).
-2*p**2*(p - 1)*(p + 1)
Determine y, given that -2/3*y**2 + 0*y + 0 + 2/3*y**3 = 0.
0, 1
Let u(r) be the second derivative of -r**5/80 - r**4/48 - 32*r. Factor u(c).
-c**2*(c + 1)/4
Suppose 5*u + 15 = -0*u. Let w be (u + 6 - 3) + 0. Factor -1/4*k**3 + 1/4*k**2 + 0 + w*k.
-k**2*(k - 1)/4
Let n(d) be the second derivative of d**5/80 - d**4/24 + 27*d. Let n(r) = 0. Calculate r.
0, 2
Suppose -2*b - 20 = 3*b, 2*c + 20 = -4*b. Let x be c + (-6)/9*-6. Factor -2*f**3 - f + 2*f + 2*f**2 - x*f**4 + f.
-2*f*(f - 1)*(f + 1)**2
Let y = -58 + 119/2. Determine t so that -3*t - y*t**2 - 3/2 = 0.
-1
Suppose w + 5 = -3. Let c(a) = 20*a**3 + 37*a**2 - 11*a - 5. Let l(i) = 30*i**3 + 56*i**2 - 16*i - 8. Let r(m) = w*c(m) + 5*l(m). Solve r(h) = 0.
-2, 0, 2/5
Factor 5*a**4 - 13*a**3 - 3*a**4 + 11*a**3.
2*a**3*(a - 1)
Determine p, given that 24/7*p**2 + 6/7*p**3 + 3*p - 3/7*p**5 - 6/7*p**4 + 6/7 = 0.
-1, 2
Let t = 1127 - 1113. Find g, given that -72/11*g**3 + 72/11*g - t*g**4 + 8/11 + 146/11*g**2 = 0.
-1, -2/7, -2/11, 1
Suppose -2*s + 0*s = 4*a - 26, -2*s = a - 14. Suppose 0 - 1/6*o**a - 1/3*o**3 - 1/6*o**2 + 0*o = 0. What is o?
-1, 0
Suppose c - 3*c = 0. Let o(b) = b**2. Let q be o(-2). Solve -1/4*r**3 + 0*r**2 + 0*r + c - 1/4*r**q = 0.
-1, 0
Let s = -21 + 21. Let h(w) be the second derivative of 0*w**2 + 1/24*w**3 + 0*w**4 + w - 1/80*w**5 + s. Factor h(j).
-j*(j - 1)*(j + 1)/4
Let o(t) be the third derivative of 1/540*t**6 + 0 + 2/27*t**3 + t**2 - 1/36*t**4 + 0*t**5 + 0*t. Let o(j) = 0. What is j?
-2, 1
Let r = 37 - 26. Let y = r + -8. Factor 1/4*g**y + 0*g - 1/4*g**2 + 0.
g**2*(g - 1)/4
Let k = -146 - -442/3. Factor -2/3*h**2 - 2/3 - k*h.
-2*(h + 1)**2/3
Let f = 83/5580 - -2/155. Let u(d) be the third derivative of -f*d**6 + 0*d - 2/45*d**5 + 0 - 1/36*d**4 - d**2 + 0*d**3 - 2/315*d**7. Factor u(t).
-2*t*(t + 1)**2*(2*t + 1)/3
Let q(o) be the third derivative of -o**7/1155 + 2*o**5/165 + 16*o**2. Factor q(m).
-2*m**2*(m - 2)*(m + 2)/11
Let q(s) be the first derivative of -5*s**3 - 17*s**2/4 - s + 28. Determine a, given that q(a) = 0.
-2/5, -1/6
Let h(r) be the first derivative of r**8/1680 - r**7/210 + r**6/72 - r**5/60 + r**3 + 5. Let a(m) be the third derivative of h(m). Factor a(x).
x*(x - 2)*(x - 1)**2
Let p(w) be the second derivative of w**6/10 - 3*w**5/5 + 5*w**4/4 - w**3 + 5*w. Factor p(h).
3*h*(h - 2)*(h - 1)**2
Let y = -17 + 18. Let j(c) be the first derivative of 0*c + 2/3*c**2 + y + 2/9*c**3. Find x such that j(x) = 0.
-2, 0
Let y be (-1)/(-2)*(-1 + 7). Let k(w) be the first derivative of -2/21*w**y + 1/7*w**2 + 0*w - 2 + 2/35*w**5 - 1/14*w**4. Factor k(s).
2*s*(s - 1)**2*(s + 1)/7
Suppose 0 = 3*c - 22 - 23. Suppose -2*g + c = 3*g. Find i such that 1/2 + 3*i**2 + 2*i + 2*i**g + 1/2*i**4 = 0.
-1
Let r(p) = 3*p**4 + 3*p**3 - 2*p. Let f = -1 + 3. Let u(v) = 4*v**4 + 3*v**3 - v. Let b(h) = f*u(h) - 3*r(h). Factor b(m).
-m*(m - 1)*(m + 2)**2
Let p(y) = 2*y**2 + 18*y + 13. Let b(g) = -15*g**2 - 145*g - 105. Let t(s) = 3*b(s) + 25*p(s). Factor t(x).
5*(x + 1)*(x + 2)
Let x(w) be the second derivative of -2*w + 0 - 1/27*w**3 - 1/30*w**5 - 1/18*w**4 + 0*w**2 - 1/135*w**6. Find f, given that x(f) = 0.
-1, 0
Let d(g) be the second derivative of g + 0*g**2 - 1/6*g**4 - 1/3*g**3 + 0. Factor d(z).
-2*z*(z + 1)
Find k such that k**3 + 0*k**2 + 4*k**2 - k**3 - 2*k**3 = 0.
0, 2
Let q = -124/5 + 412/15. Determine o, given that 10/3*o + 2/3*o**3 + 4/3 + q*o**2 = 0.
-2, -1
Let o be (11/3 + -3)/1. Find w, given that 0*w**3 - o*w**5 + 2/3*w - 4/3*w**4 + 4/3*w**2 + 0 = 0.
-1, 0, 1
Suppose -22 + 11 - 16*y**3 + 24*y**2 - 9*y + 12 = 0. Calculate y.
1/4, 1
Let o(v) = v**2 + 6*v - 6. Let f be o(-8). Let i = -6 + f. Factor -i*j**4 + 2*j**3 + 2*j - 2*j - 6*j**5.
-2*j**3*(j + 1)*(3*j - 1)
Let z(x) be the third derivative of 0*x**5 - 3*x**2 + 0*x**4 + 1/360*x**6 - 1/630*x**7 + 0*x**3 + 0*x + 0. Suppose z(o) = 0. What is o?
0, 1
Let k(h) be the second derivative of h**4/24 - 5*h**3/12 + h**2 - 6*h. Let k(u) = 0. Calculate u.
1, 4
Suppose -4/5*y**3 + 4/5*y - 4/5*y**2 + 0 + 4/5*y**4 = 0. Calculate y.
-1, 0, 1
Let p(q) be the first derivative of 0*q**4 - 2 + 0*q**2 + 2/3*q**3 - 1/60*q**5 + 0*q - 1/180*q**6. Let a(n) be the third derivative of p(n). Factor a(x).
-2*x*(x + 1)
Let l = -254 + 254. Factor -3/7*s**5 + 3/7*s**4 + l*s + 0 + 3/7*s**3 - 3/7*s**2.
-3*s**2*(s - 1)**2*(s + 1)/7
Let j be (-4)/18 + (-581)/(-63). Suppose 3*i + 2*i**2 - j*i**3 + 24*i**3 - 2 + i**5 - 19*i**3 = 0. What is i?
-2, -1, 1
What is w in -3/7*w**3 + 0 - 12/7*w + 12/7*w**2 = 0?
0, 2
Suppose -l + 7 = 1. Suppose 15 = l*i - i. Solve -2/3*s - 2/9*s**i - 2/9 - 2/3*s**2 = 0.
-1
Let x = -12 + 12. Let q = 199/535 - -3/107. Factor 0 + x*p + q*p**2 + 2/5*p**3.
2*p**2*(p + 1)/5
Let i(n) be the first derivative of 2*n - 2/3*n**3 + 1 + 0*n**2. Let i(x) = 0. Calculate x.
-1, 1
Let x(o) = o**2 + 5*o. Let t(z) be the third derivative of -z**5/15 - 7*z**4/8 + z**3/6 - 2*z**2. Let i(p) = 2*t(p) + 9*x(p). Factor i(v).
(v + 1)*(v + 2)
What is y in -1/3*y**2 - 1/3 + 2/3*y = 0?
1
Let r be (-4)/(-1) + 60/(-15). Let t(x) be the second derivative of 0*x**2 + 0*x**3 - 2*x + 0 - 1/10*x**5 + r*x**4. Suppose t(z) = 0. What is z?
0
Let f be (-8 + (-792)/(-104))*(-4)/5. What is b in 6/13*b - 2/13*b**2 - f = 0?
1, 2
Let r(q) be the third derivative of -1/120*q**5 + 0*q**4 + 0 + 0*q + 0*q**6 + 1/420*q**7 - 3*q**2 + 0*q**3. Suppose r(n) = 0. What is n?
-1, 0, 1
Let i be (-1)/3*(14 + -20). Find g, given that 2/9*g + 2/9*g**i + 0 = 0.
-1, 0
Let t be 64/180*(-3)/(-2). Let g(u) be the first derivative of 7/3*u**2 - t*u**5 + 13/6*u**4 - 10/3*u**3 - 2/3*u + 4. Suppose g(c) = 0. Calculate c.
1/4, 1
Let x(i) = -2*i**2 - 2*i + 2. Let u be x(-2). Let n be u/(-9) + 34/9. Let -8*b**3 + b**2 - b - 11*b**2 + 3*b - n*b = 0. What is b?
-1, -1/4, 0
Let u(c) be the second derivative of c**5/40 + c**4/8 + c**3/4 + c**2/4 - 11*c. Find o such that u(o) = 0.
-1
Let x(c) = c**2 - 3*c - 3. Suppose o - 2 + 0 = -4*y, -y + 9 = -4*o. Let p(s) = -3*s + 2*s + 1 + 0 + 2*s. Let h(d) = y*x(d) + 3*p(d). Factor h(t).
t**2
Suppose 0 = 2*f + 3 + 3. Let a be (-1)/(6/14) - f. Let 0 + 5/3*m**2 - 3*m**4 - 2*m**3 + a*m = 0. What is m?
-1, -1/3, 0, 2/3
Let w(i) be the second derivative of -3*i**7/14 - 4*i**6/5 - 3*i**5/20 + 2*i**4 + 2*i**3 - 11*i. Let w(r) = 0. What is r?
-2, -1, -2/3, 0, 1
Let d be ((-1)/4)/((-171)/(-72) - 3). Factor 0*r**2 + 0 - 2/5*r + d*r**3.
2*r*(r - 1)*(r + 1)/5
Let d(s) be the second derivative of -s + 0*s**2 - 1/4*s**3 - 1/56*s**7 + 9/80*s**5 + 1/16*s**4 + 0 - 1/40*s**6. Determine c, given that d(c) = 0.
-2, -1, 0, 1
Let i(o) be the third derivative of o**8/112 + o**7/70 - o**6/40 - o**5/20 + 7*o**2. Factor i(z).
3*z**2*(z - 1)*(z + 1)**2
Let y(x) be the third derivative of -x**7/1260 - x**6/720 + x**5/360 + x**4/144 + x**2. Solve y(b) = 0 for b.
-1, 0, 1
Let m = 305 - 1522/5. Suppose -m - 24/5*