 -18 + 37/2. Suppose g + o*l - 1/2*l**2 = 0. What is l?
0, 1
Let k = 457/1380 - -1/460. Factor -k*i**2 + 4/3 + 0*i.
-(i - 2)*(i + 2)/3
Let k(r) be the second derivative of 0*r**4 + 0 + 6*r + 1/80*r**5 - 1/4*r**2 - 1/8*r**3. What is v in k(v) = 0?
-1, 2
Let o(x) = x**3 - 3*x**2 + x - 1. Let n = -11 + 29. Let b(j) = -4*j**3 + 13*j**2 - 5*j + 5. Let l(d) = n*o(d) + 4*b(d). Solve l(v) = 0.
-1, 1
Let t(p) be the second derivative of 216*p**5/35 + 36*p**4 + 84*p**3 + 98*p**2 - 31*p. Factor t(u).
4*(6*u + 7)**3/7
Suppose -3*c - c = c. Factor 1/4*x**2 - 1/4*x**4 + 1/4*x**5 - 1/4*x**3 + c + 0*x.
x**2*(x - 1)**2*(x + 1)/4
Let n(l) be the first derivative of 8*l**5/55 - 7*l**4/22 + 4*l**3/33 + l**2/11 + 10. Solve n(k) = 0.
-1/4, 0, 1
Let j(v) be the third derivative of -v**7/2940 + v**6/420 - v**5/140 + v**4/84 - v**3/3 - v**2. Let o(b) be the first derivative of j(b). Factor o(t).
-2*(t - 1)**3/7
Factor 0*g + 0 + 2/3*g**2 + 1/3*g**3.
g**2*(g + 2)/3
Let f(n) = 14*n**4 + 9*n**3 - 47*n**2 - 40*n - 13. Let z(d) = 7*d**4 + 4*d**3 - 23*d**2 - 20*d - 6. Let a(w) = -2*f(w) + 5*z(w). Factor a(v).
(v - 2)*(v + 1)**2*(7*v + 2)
Let l(g) = g**2 - 5*g - 1. Let n be l(5). Let j be (0 - (6 + -3))/n. Find i, given that 2*i - 1 + 2*i**2 - 3*i**2 - 3 + j = 0.
1
Let t = 7 + -9. Let y = t + 5. Factor -1 + 5*o**2 - 5*o - o**y + 3 - o**2.
-(o - 2)*(o - 1)**2
Let j(q) = -4*q**2 + q + 1. Let k(i) = 4*i**2 - 3*i**2 + 2*i**2 - 4*i**2 + i. Let o(f) = -2*j(f) + 4*k(f). Factor o(s).
2*(s + 1)*(2*s - 1)
Let x(g) be the third derivative of 3*g**7/70 - g**6/8 + 7*g**5/60 - g**4/24 + 11*g**2. Let x(h) = 0. What is h?
0, 1/3, 1
Let g(a) be the first derivative of -a**4/6 + 4*a**3/9 + a**2 + 4. Determine k so that g(k) = 0.
-1, 0, 3
Let k(n) be the first derivative of 3*n**4/32 - 3*n**3/8 + 45. Factor k(f).
3*f**2*(f - 3)/8
Factor 1/3*v**3 + 0*v**2 - 1/2*v**4 + 0*v + 0 + 1/6*v**5.
v**3*(v - 2)*(v - 1)/6
Suppose -60 + 12 = -4*c. Let o be 3/4 - 3/c. Let 1/2 + o*x - 1/2*x**2 - 1/2*x**3 = 0. What is x?
-1, 1
Let b(m) = 2*m**2 + 4*m + 8. Let k(t) = -1. Let w(p) = -b(p) - 6*k(p). Factor w(z).
-2*(z + 1)**2
Let a(w) be the first derivative of -w**7/210 + w**6/60 - w**4/12 + w**3/6 - 7*w**2/2 + 1. Let f(p) be the second derivative of a(p). Factor f(l).
-(l - 1)**3*(l + 1)
Let k = 15 + -13. What is n in 8/5*n**k - 28/5*n**5 + 0*n + 64/5*n**4 + 0 - 44/5*n**3 = 0?
0, 2/7, 1
Let s(b) be the first derivative of -b**5/150 - b**4/20 + 4*b**3/15 + b**2/2 - 7. Let j(g) be the second derivative of s(g). Factor j(m).
-2*(m - 1)*(m + 4)/5
Let r(t) be the second derivative of t**7/14 - t**6/10 - 3*t**5/10 - 4*t. Factor r(v).
3*v**3*(v - 2)*(v + 1)
Let b = -21 - -23. Factor 6*v**3 - 2*v - 3*v**3 + 0*v**4 + 10*v**5 + v**4 - 11*v**5 - v**b.
-v*(v - 2)*(v - 1)*(v + 1)**2
Let s(l) be the second derivative of 0*l**2 + 1/3*l**3 - 1/12*l**4 + 0 + 3*l. Determine r, given that s(r) = 0.
0, 2
Let f(x) = x**2 + x - 2. Let d(q) = q**2 - 1. Let t(p) = -3*d(p) + 2*f(p). Factor t(h).
-(h - 1)**2
Let r(y) be the third derivative of y**5/570 - y**4/76 - 4*y**3/57 - 9*y**2. Suppose r(o) = 0. What is o?
-1, 4
Let a(x) be the first derivative of -x**7/840 + x**6/480 + 2*x**2 + 1. Let q(d) be the second derivative of a(d). Factor q(w).
-w**3*(w - 1)/4
Let b(d) = -3*d**3 + 14*d**2 - 20*d + 5. Let h(v) = -12*v**3 + 56*v**2 - 80*v + 19. Let k(y) = -26*b(y) + 6*h(y). Suppose k(m) = 0. Calculate m.
2/3, 2
Suppose -296*t = -290*t - 12. What is o in 18/13*o**4 + 0*o + 0*o**3 - 8/13*o**t + 0 = 0?
-2/3, 0, 2/3
Determine y so that 2/3*y**3 - 2/9*y**5 + 0 - 2/9*y**4 - 4/9*y + 2/9*y**2 = 0.
-2, -1, 0, 1
Let n(g) be the first derivative of -2*g**5/35 + g**4/7 + 2*g**3/7 - 8. Factor n(a).
-2*a**2*(a - 3)*(a + 1)/7
What is y in 10 + 4*y**2 + 4 + 8*y + 6 - 16 = 0?
-1
Let g(r) be the second derivative of r**9/22680 + r**8/5040 + r**7/3780 + r**4/6 + r. Let z(d) be the third derivative of g(d). Solve z(j) = 0.
-1, 0
Let z be (-2)/6*2*3/(-8). Determine m, given that 3/4*m**2 - z*m**3 - 3/4*m + 1/4 = 0.
1
Let x be (-56)/(-66)*1*(-3)/(-6). Let w(s) be the first derivative of -5/11*s**2 + x*s**3 - 2 + 2/11*s - 3/22*s**4. Let w(r) = 0. Calculate r.
1/3, 1
Let j(r) be the second derivative of -r**4/78 + 5*r**3/39 - 4*r**2/13 - 7*r. Suppose j(g) = 0. What is g?
1, 4
Let k(u) be the third derivative of u**7/315 + u**6/90 - u**4/18 - u**3/9 + 3*u**2. Factor k(y).
2*(y - 1)*(y + 1)**3/3
Let i be (2/(-8))/((-2)/32). Factor -5/3*q**3 + 3*q**2 - 7/3*q + 1/3*q**i + 2/3.
(q - 2)*(q - 1)**3/3
What is w in 12/17*w**2 + 2/17*w**3 - 2/17*w - 12/17 = 0?
-6, -1, 1
Let j = 0 - -3. Factor -2*q**3 + 0 + 2*q**2 + j*q**3 + 0.
q**2*(q + 2)
Let h = -13 - -18. Suppose -26 = h*c + 39. Let r(t) = 6*t**3 - t**2 + 17*t + 13. Let g(m) = -3*m**3 + m**2 - 8*m - 6. Let w(n) = c*g(n) - 6*r(n). Factor w(x).
x*(x - 2)*(3*x - 1)
Let 0 - 8/11*x - 2/11*x**2 = 0. What is x?
-4, 0
Let g(s) be the second derivative of s**4/30 - 6*s**3/5 + 81*s**2/5 + 34*s. Factor g(b).
2*(b - 9)**2/5
Find u such that -3/7*u**5 + 3/7*u**4 + 3/7 - 6/7*u**2 + 6/7*u**3 - 3/7*u = 0.
-1, 1
Suppose 4*w - 4*k - 37 = -13, -4*w = -2*k - 22. Let z = 0 + w. Factor 0 + 0*g**3 - 1/3*g**z + 1/3*g + 2/3*g**2 - 2/3*g**4.
-g*(g - 1)*(g + 1)**3/3
Let v(c) = c**3 - 7*c**2 + 10*c - 7. Let d be v(6). Factor -x**3 - 17 + d - x**4.
-x**3*(x + 1)
Let t(i) be the first derivative of i**9/7560 + i**8/2100 - i**6/450 - i**5/300 + i**3 + 5. Let d(l) be the third derivative of t(l). Factor d(h).
2*h*(h - 1)*(h + 1)**3/5
Let t(c) = 3*c**3 - 2*c**2 + 2*c - 1. Let j be 36/48 + (-2)/(-8). Let s be t(j). Solve -3/2*f**4 - 3/2*f**s + 0 + 0*f + 3*f**3 = 0.
0, 1
Let p(f) = f**3 - 8*f**2 - 10*f + 11. Let c be p(9). Factor 4 - 4 + 2*q - 4*q**2 + c.
-2*(q - 1)*(2*q + 1)
Let k(d) be the third derivative of -5*d**8/1176 - 8*d**7/735 - d**6/420 + d**5/105 - 8*d**2. Suppose k(u) = 0. Calculate u.
-1, 0, 2/5
Suppose 4*l = -3*z + 24, 3*l + 2*z + 3*z - 29 = 0. Let q(y) be the third derivative of 1/30*y**5 - 2*y**2 + 0 + 0*y + 0*y**l + 0*y**4. Factor q(j).
2*j**2
Let r(v) be the third derivative of v**8/120960 + v**7/30240 - v**5/30 + 3*v**2. Let p(w) be the third derivative of r(w). Factor p(x).
x*(x + 1)/6
Let d(x) be the second derivative of x**6/180 - x**5/10 + 3*x**4/4 + 2*x**3/3 - 3*x. Let b(g) be the second derivative of d(g). Factor b(u).
2*(u - 3)**2
Suppose -5*g = -15, -5*i = 3*g + 2*g - 25. Solve -1/4*v**3 + 1/4*v + 1/4*v**i - 1/4 = 0 for v.
-1, 1
Let y be (-128)/(-414) - 20/230. Find j, given that 4/9*j + 0 - y*j**2 = 0.
0, 2
Determine r so that -48/7*r**4 + 32/7*r**5 + 46/7*r**2 - 2*r**3 - 18/7*r + 2/7 = 0.
-1, 1/4, 1
Let p(d) be the second derivative of -2*d**7/147 - 2*d**6/105 + 6*d**5/35 + 4*d**4/21 - 16*d**3/21 - 6*d. Solve p(h) = 0.
-2, 0, 1, 2
Let x(k) = -k - 4. Let f be x(7). Let v(y) = y**2 + 12*y + 16. Let u be v(f). Factor 2*d**4 + 21*d**3 - 19*d**3 + 0*d**2 - 2*d**2 - 2*d**u.
-2*d**2*(d - 1)**2*(d + 1)
Let j(n) = 20*n**2 - 80*n + 80. Let l(p) = -4*p**2 + 16*p - 16. Let b(z) = -3*j(z) - 14*l(z). Factor b(g).
-4*(g - 2)**2
Factor 4*m**4 + 2*m**4 - 26*m**3 - 22*m + 54*m**2 - 16*m**2 + 4.
2*(m - 2)*(m - 1)**2*(3*m - 1)
Suppose 5*h = 4*h + 2*k + 10, -4*k = 4*h + 8. Let j be 19/(-5) - -2*h. Factor 0 + j*w - 1/5*w**2.
-w*(w - 1)/5
Let l be 1 + 4/16*-3. Let j(c) be the first derivative of 1/12*c**3 - 1/8*c**2 + 3 + 1/16*c**4 - l*c. Determine a, given that j(a) = 0.
-1, 1
Let a(h) be the first derivative of h**6/12 + 3*h**5/10 + 3*h**4/8 + h**3/6 + 2*h + 3. Let j(d) be the first derivative of a(d). Factor j(q).
q*(q + 1)**2*(5*q + 2)/2
Suppose -2*j = -2*m - 12, -2*j - 2*m + 18 = 2*j. Determine s, given that 0*s**2 + 0*s**3 + 6/7*s**j + 0 + 0*s - 2/7*s**4 = 0.
0, 1/3
Let i(y) be the third derivative of -y**5/120 + y**4/12 - y**3/4 - 25*y**2. Factor i(n).
-(n - 3)*(n - 1)/2
Solve -110*u**4 + 37*u**4 + 15*u**5 + 31*u**4 + 37*u**4 = 0 for u.
0, 1/3
Suppose -2/13*j**2 - 32/13 + 12/13*j**3 - 48/13*j - 2/13*j**4 = 0. Calculate j.
-1, 4
Let v(y) be the second derivative of 0 + 1/14*y**4 + 0*y**2 + 1/105*y**6 - 2*y - 1/21*y**3 - 3/70*y**5. Suppose v(a) = 0. What is a?
0, 1
Let x = -297 + 1487/5. Determine d so that -1/5*d - 1/5*d**4 - 1/5 + x*d**3 - 1/5*d**5 + 2/5*d**2 = 0.
-1, 1
Let u(z) be the third derivative of -z**8/1008 - 4*z**7/315 - 13*z**