135 - y. Factor -a*j**2 + 2/9 - 8/9*j**3 + 8/9*j.
-2*(j - 1)*(j + 1)*(4*j + 1)/9
Let m(z) = -z**2 + 8*z - 4. Let k be m(7). Let w = 8 - 15/2. Factor w*j**2 + 0*j + 0 - 1/2*j**k.
-j**2*(j - 1)/2
Let n(d) = 2*d**2 + 4*d + 2. Let v(y) = -4*y**2 - 8*y - 4. Let a(b) = -5*n(b) - 3*v(b). Factor a(j).
2*(j + 1)**2
Let d = 49/39 - -1/13. Solve d*n + 0 + 49/3*n**3 - 28/3*n**2 = 0 for n.
0, 2/7
Suppose 0 = 5*y - 25 - 0. Solve 1/2*l**2 - 1/2*l**y + 1/2*l**3 + 0 - 1/2*l**4 + 0*l = 0 for l.
-1, 0, 1
Let t(n) be the third derivative of -1/4*n**4 + 2/3*n**3 + 0*n + 1/60*n**6 + 0*n**5 + 0 + 6*n**2. Solve t(c) = 0.
-2, 1
Let q(l) = 4*l + 2. Let s be q(-2). Let d be 2/s - 50/(-15). Factor -2*t**4 - t**2 + 0*t**3 + d*t**2 - 2*t**3 + 2*t**5.
2*t**2*(t - 1)**2*(t + 1)
Suppose 0 = -4*s + r + 13, s = -0*s - 3*r - 13. Let i = -1 - -3. Factor 0*u**s - 2*u**i + u**2 - u.
-u*(u + 1)
Let r(l) be the third derivative of l**10/15120 + l**9/2520 + l**8/1120 + l**7/1260 - l**5/30 + 4*l**2. Let q(s) be the third derivative of r(s). Factor q(y).
2*y*(y + 1)**2*(5*y + 2)
Let v(n) be the second derivative of n**7/98 + n**6/70 - 3*n**5/70 - n**4/14 + n**3/14 + 3*n**2/14 + 15*n. Let v(h) = 0. Calculate h.
-1, 1
Let g = 7 + -5. Solve -6*n**2 - n + 7*n**2 - g*n**2 = 0 for n.
-1, 0
Let b(x) be the second derivative of 3*x**5/100 - 3*x**3/10 - 3*x**2/5 + 14*x. Factor b(p).
3*(p - 2)*(p + 1)**2/5
Suppose 3*b = 4*z + 5, 5*z + 5*b = 33 - 13. Let f(x) = x**2 - 1. Let p(s) = 20*s**2 - 21*s + 1. Let k(m) = z*p(m) - 5*f(m). Suppose k(n) = 0. What is n?
2/5, 1
Let n(k) be the second derivative of k**7/42 - k**6/10 + k**5/10 + k**4/6 - k**3/2 + k**2/2 - 7*k. Find c such that n(c) = 0.
-1, 1
Let r(q) be the third derivative of 0*q + q**3 + 0 + 1/8*q**4 + 5*q**2 - 3/20*q**5. Let r(f) = 0. Calculate f.
-2/3, 1
Factor -2/9*t**3 + 0*t + 0 + 0*t**2.
-2*t**3/9
Let k(h) = h**3 + 2*h**2 + 3*h + 2. Suppose 0*o = -2*x - o + 1, -2*o + 10 = 0. Let u(y) = 3*y**3 + 5*y**2 + 7*y + 5. Let s(z) = x*u(z) + 5*k(z). Factor s(l).
-l*(l - 1)*(l + 1)
Let n(y) = 227*y**4 + 283*y**3 + 66*y**2 + 2*y. Let r(c) = -c**4 + c**3 - c**2 + c. Let l(i) = -n(i) - 2*r(i). Factor l(f).
-f*(f + 1)*(15*f + 2)**2
Factor -3/2*w**2 + w**4 - 3/2*w**3 + 0 + w.
w*(w - 2)*(w + 1)*(2*w - 1)/2
Let k = -383 - -257. Let b be (-2)/(-8) + k/(-264). Factor -2/11*x**3 - 16/11*x + b + 10/11*x**2.
-2*(x - 2)**2*(x - 1)/11
What is b in 0*b - 11*b**2 + 3*b + 8*b**2 = 0?
0, 1
Let h = -236/7 + 34. What is g in -2/7*g**2 + 4/7*g - h = 0?
1
Let x(q) = -q**2 + 3*q - 2. Let f(d) = -2*d**2 + 1. Let o be f(2). Let n(u) = 3*u**2 - 10*u + 7. Let k(j) = o*x(j) - 2*n(j). Factor k(c).
c*(c - 1)
Let s(l) be the third derivative of -1/36*l**4 + 1/9*l**3 + 1/180*l**6 + 0*l + 0 - 5*l**2 - 1/90*l**5. Let s(y) = 0. Calculate y.
-1, 1
Let r(d) be the first derivative of -d**6/12 + 3*d**4/8 + d**3/3 + 24. Factor r(q).
-q**2*(q - 2)*(q + 1)**2/2
Let p(q) be the third derivative of -q**7/420 + q**6/240 + q**5/60 - 2*q**2. Suppose p(v) = 0. What is v?
-1, 0, 2
Let u(n) be the third derivative of 0*n + 0 + 1/40*n**5 + 0*n**3 + 1/24*n**4 + 1/240*n**6 + 7*n**2. Factor u(x).
x*(x + 1)*(x + 2)/2
Let p(s) be the first derivative of -2/3*s**2 + 4 - s - 1/9*s**3. Factor p(i).
-(i + 1)*(i + 3)/3
Factor -1 - 1/4*q**2 + q.
-(q - 2)**2/4
Let z(w) be the third derivative of w**7/105 + w**6/20 - w**5/10 - 11*w**4/12 - 2*w**3 - 17*w**2. Factor z(j).
2*(j - 2)*(j + 1)**2*(j + 3)
Let c(t) be the second derivative of 0 + 1/12*t**4 + 1/21*t**3 + 4*t - 2/105*t**6 - 1/28*t**5 + 0*t**2. Factor c(v).
-v*(v - 1)*(v + 2)*(4*v + 1)/7
Let j be 6 + -3 + 9 + 406/(-35). Solve j*i**4 - 3/5*i**3 - 1/5 + 3/5*i - 1/5*i**2 = 0.
-1, 1/2, 1
Let i be (92/(-10))/(152/2185). Let s = i - -133. Factor -s*q**2 + 3/4 + 0*q.
-3*(q - 1)*(q + 1)/4
Let w(a) be the first derivative of a**3/15 + a**2/5 + a/5 + 20. What is d in w(d) = 0?
-1
Let j(m) be the third derivative of -9*m**8/56 + 3*m**7/7 - m**6/10 - 2*m**5/3 + 2*m**4/3 - 8*m**2. Suppose j(w) = 0. What is w?
-2/3, 0, 2/3, 1
Let w = -13 - -24. Let y = -7 + w. Find z such that -4*z**5 - 9*z**y - 15*z**2 + 7*z**5 + 12*z**2 + 9*z**3 = 0.
0, 1
Let c(h) be the second derivative of -h**5/20 - 3*h**4/4 - 4*h**3/3 + h**2 - h. Let a be c(-8). Suppose -2/9*l**a + 0 + 0*l + 2/9*l**3 = 0. What is l?
0, 1
Let n(q) be the second derivative of -1/3*q**2 - 1/36*q**4 + 5*q + 0 + 1/6*q**3. Factor n(c).
-(c - 2)*(c - 1)/3
Let w(n) be the third derivative of -n**8/1008 + n**6/180 - n**4/72 - n**2. Factor w(m).
-m*(m - 1)**2*(m + 1)**2/3
Let b(d) be the third derivative of -d**8/1176 + d**6/140 - d**5/105 - 4*d**2. Find o, given that b(o) = 0.
-2, 0, 1
Let h = 8 - 7. Let q(f) = -7*f**2 - 9*f - 8. Let k(o) = -o**2 - o - 1. Let g(w) = h*q(w) - 6*k(w). Suppose g(d) = 0. What is d?
-2, -1
What is o in 1/8*o + 0 + 1/8*o**2 = 0?
-1, 0
Suppose 0 = 4*y - 2 - 2. Let o be 2 - (y + -1)*-1. Factor w - w - 2*w**o.
-2*w**2
Let c(w) be the second derivative of 8/15*w**3 + 7/50*w**5 + 1/50*w**6 + 2/5*w**2 - 7*w + 23/60*w**4 + 0. Factor c(g).
(g + 1)**2*(g + 2)*(3*g + 2)/5
Let p = 2645 + -555449/210. Let y(w) be the third derivative of 0 - 3*w**2 + 0*w + 1/6*w**4 - p*w**7 - 1/24*w**6 - 1/10*w**5 + 4/3*w**3. Factor y(d).
-(d - 1)*(d + 2)**3
Let p(a) = 6*a - 7. Let g(l) = 5*l - 6. Let s(r) = 5*g(r) - 4*p(r). Let j be s(4). What is i in -2*i**3 + 0 + j*i**2 - 1 + 2*i - 1 = 0?
-1, 1
Let q = -1615/7 + 231. Determine l, given that q*l + l**2 + 5/7*l**4 + 9/7*l**3 + 0 + 1/7*l**5 = 0.
-2, -1, 0
Let s(f) be the third derivative of -f**8/336 - 2*f**7/105 - f**6/30 + f**5/30 + 5*f**4/24 + f**3/3 - 10*f**2. Factor s(o).
-(o - 1)*(o + 1)**3*(o + 2)
Let a(b) be the first derivative of -5*b**6/12 - 17*b**5/10 - 21*b**4/8 - 11*b**3/6 - b**2/2 + 4. Find i such that a(i) = 0.
-1, -2/5, 0
Let f = 4 + -3. Let t be (-1 + f - -2)*1. Determine x so that -2*x**2 + 4*x**2 - 2*x**3 - 4*x**t = 0.
-1, 0
Let d(v) be the first derivative of v**7/420 + v**6/45 + v**5/12 + v**4/6 - v**3 + 1. Let i(o) be the third derivative of d(o). Let i(q) = 0. What is q?
-2, -1
Suppose 3*m - 3*u = 42, 2*u + 2 + 56 = 4*m. Factor -36*l**4 + 14*l**3 + 17*l**3 + m*l**5 - 6*l**2 - 4*l**3.
3*l**2*(l - 1)**2*(5*l - 2)
Factor -244*n**3 - 78*n**2 - 42*n + 188*n**3 - 16*n**4 - 9 + 5*n**2.
-(n + 1)**2*(4*n + 3)**2
Determine d, given that 224/3*d + 2/3*d**4 + 128/3 + 26/3*d**3 + 40*d**2 = 0.
-4, -1
Let t(x) be the first derivative of x**6/180 - x**5/20 + x**4/6 + 4*x**3/3 + 4. Let l(v) be the third derivative of t(v). Suppose l(w) = 0. What is w?
1, 2
Let c(v) be the second derivative of -1/5*v**5 + 1/3*v**3 + 0*v**2 - 1/6*v**4 - v + 0. Factor c(j).
-2*j*(j + 1)*(2*j - 1)
Let s(a) be the first derivative of 3 + 0*a - 2/21*a**3 + 0*a**2. Factor s(w).
-2*w**2/7
Suppose 5*k = -c - 2*c + 14, 15 = 3*k + 4*c. Let y be (k/(-6))/(2/(-16)). Let -4/3*o + 1/3 + 1/3*o**4 - y*o**3 + 2*o**2 = 0. What is o?
1
Let r(b) be the first derivative of b**5/5 - b**4/2 + 10. Factor r(x).
x**3*(x - 2)
Let b(n) be the second derivative of -2*n**7/21 + 2*n**6/5 - 2*n**5/5 - 5*n. Factor b(f).
-4*f**3*(f - 2)*(f - 1)
Factor p**2 - 1/4*p**3 + 0 - p.
-p*(p - 2)**2/4
Let p(q) be the first derivative of 5*q**3/18 - 19. Factor p(z).
5*z**2/6
Let a(n) = n**5 - n**4 + 1. Let y(r) = 10*r**5 - 7*r**4 - r**3 - 2*r**2 + 9. Let w(d) = -18*a(d) + 2*y(d). Solve w(u) = 0.
-2, -1, 0, 1
Solve -2/5*l**2 - 12/5*l - 18/5 = 0.
-3
Suppose -5*c + 15 = -5*r, 3*c - 12 = -2*r + 7. Let m = 13 - 10. Determine u, given that u**2 + 3*u**r - u + u**3 - m*u**2 - u**4 = 0.
-1, 0, 1
Let z(u) be the third derivative of u**8/56 - u**7/15 - u**6/6 + 14*u**5/15 - 2*u**4/3 - 2*u**2 - 11. Solve z(n) = 0.
-2, 0, 1/3, 2
Determine u so that -10*u**2 + 8*u - 2*u**3 + 0*u**4 + 2*u**2 + 2*u**4 = 0.
-2, 0, 1, 2
Let j be (-1 - -4 - -1) + -2. Suppose 4*l + j = -3*a - 5, -3*l = 4*a + 14. Solve 3*t**3 + 2*t**5 - 2*t**4 - 3*t**3 + 2*t**2 - l*t**3 = 0.
-1, 0, 1
Let n(o) be the first derivative of -5*o**4/6 + 4*o**3/9 + 5*o**2/3 - 4*o/3 + 11. Factor n(h).
-2*(h - 1)*(h + 1)*(5*h - 2)/3
Let a(n) = n**2 + 3*n + 6. Let h be a(-5). Let o be (8/h)/(2/16). Find c such that 1/2*c**5 - 1/2 + c**2 - c**3 + 1/2*c - 1/2*c**o = 0.
-1, 1
Let l(u) be the third derivative of -1/36*u**6 + 0*u + 1/90*u**5 + 5/36*u**4 + 2*u**2 + 0 - 1/9*u**3. Solve l(i) = 