*4 + x - x**y + 2*x**4.
x*(x - 1)**2*(x + 1)
Let t(g) be the first derivative of 16*g**5/15 + 13*g**4 - 24*g**3 + 22*g**2/3 - 164. Solve t(q) = 0 for q.
-11, 0, 1/4, 1
What is t in -52/5*t - 338/5 + 2/5*t**4 + 336/5*t**2 + 52/5*t**3 = 0?
-13, -1, 1
Let c(l) be the third derivative of l**6/600 + 13*l**5/150 - 9*l**4/40 + 93*l**2 - 2*l. Solve c(w) = 0 for w.
-27, 0, 1
Let h = 3793/3 + -1263. Let p(k) be the second derivative of 7*k + 0 + 1/15*k**6 + k**2 + h*k**3 + 2/5*k**5 + k**4. Let p(x) = 0. Calculate x.
-1
Let -18 + 26*n**2 + 146 + 8*n**2 + 12*n**5 + 416*n - 20*n**4 + 14*n**2 - 152*n**3 = 0. Calculate n.
-2, -1/3, 2, 4
Let a be 6/36*-2 - (-22)/12. Let i = 105 - 417/4. Determine g so that 9/4*g - i*g**2 - a = 0.
1, 2
Let n(f) = f**3 + f**2 + f. Let b(h) = -15*h**4 + 120*h**3 - 155*h**2 + 65*h. Let o(j) = -b(j) + 5*n(j). Suppose o(z) = 0. What is z?
0, 2/3, 1, 6
What is y in 20*y**3 - 56*y + 40*y**2 - 25*y**3 + 30 - 9*y = 0?
1, 6
Let m(y) = -y**2 - 6*y - 7. Let i be m(-5). Let h be ((-21)/(-28))/(i/(-8)). Factor 7*l**4 - 13*l**2 + 2*l**3 - 4*l - h*l**2 - 7*l**3.
l*(l - 2)*(l + 1)*(7*l + 2)
What is j in 0*j**3 + 16/17*j**2 - 32/17 + 0*j - 2/17*j**4 = 0?
-2, 2
Suppose -56 = 2*h + 48. Let k(p) = -44*p**3 + 18*p**2 + 46*p - 72. Let l(x) = -5*x**3 + 2*x**2 + 5*x - 8. Let n(u) = h*l(u) + 6*k(u). Solve n(b) = 0.
-2, 1, 2
Let q(b) be the third derivative of b**8/560 - b**7/50 + 19*b**6/200 - b**5/4 + 2*b**4/5 - 2*b**3/5 - 3*b**2 + 28. Solve q(i) = 0.
1, 2
Let h(n) be the third derivative of n**6/360 - n**5/180 - n**4/36 - 6*n**2 - n. Find v such that h(v) = 0.
-1, 0, 2
Let r be (3 + (-2)/(-2))/((-30)/(-12)). Factor r*u + 2/5*u**4 + 2/5 + 12/5*u**2 + 8/5*u**3.
2*(u + 1)**4/5
Let w = 257 - 255. Let u(v) be the third derivative of 3/32*v**4 + 0 - 4*v**w + 1/80*v**5 + 1/4*v**3 + 0*v. Factor u(y).
3*(y + 1)*(y + 2)/4
Let j(s) be the first derivative of -2*s**6 + 7*s**5/5 + 19*s**4/4 - 3*s**3 - 7*s**2/2 + 2*s - 494. Suppose j(c) = 0. Calculate c.
-1, -2/3, 1/4, 1
Suppose -4787 = 15*f - 4832. Factor -1/4*p**f - 3/4*p + 0 + p**2.
-p*(p - 3)*(p - 1)/4
Suppose -4 = 2*v + 3*u, 4*v = -u - 10 + 2. Let d be v/3 - 4/(-6). Factor d*i**2 - 2/11*i**4 + 0 - 6/11*i**3 + 0*i.
-2*i**3*(i + 3)/11
Let b(s) = 5*s**3 + s**2 - 3*s + 2. Let l be b(1). Let j be (-48)/(-120)*1*l. Factor 4/3*q + 0 + 2/3*q**j.
2*q*(q + 2)/3
Suppose z + 5*l - 10 = 0, -z + 25 = 3*z + 5*l. Solve p**3 - 3409 - 3*p**4 + 7*p**2 + 3405 - p**z + 0*p**5 = 0.
-2, -1, 1
Factor -8*w + w**3 - 30*w**2 + 33*w + 15*w**3 - 11*w**3.
5*w*(w - 5)*(w - 1)
Let q be (68/56 + 2)*315/270. Let o = 37/8 - -53/8. Find a such that -15*a**5 + 99/4*a**4 + o*a + q*a**3 - 93/4*a**2 - 3/2 = 0.
-1, 1/4, 2/5, 1
Find l such that 21/4 + l**2 - 37/8*l = 0.
2, 21/8
Suppose -26*z - 21 = 19 - 40. Let 6*s**4 - 14/3*s**3 + z - 40/3*s**2 - 8/3*s = 0. Calculate s.
-1, -2/9, 0, 2
Solve 98/11*u - 2401/11 - 1/11*u**2 = 0.
49
Let q be ((-59)/12)/(3/12). Let m = q - -127/6. Factor a**2 + m*a - 3/2*a**4 - 1/2*a**5 - a**3 + 1/2.
-(a - 1)*(a + 1)**4/2
Let z be 0*3/(-16 - -7). Let l(p) be the second derivative of 0*p**2 + 12*p + 5/12*p**4 + z - 5/2*p**3. Find u, given that l(u) = 0.
0, 3
Let i(p) be the first derivative of -5*p**3/3 - 185*p**2/2 - 70. What is k in i(k) = 0?
-37, 0
Factor 30*h**3 + 3*h**4 - 9616 + 48*h**2 + 9616.
3*h**2*(h + 2)*(h + 8)
Let z(c) = -c**3 + 5*c**2 + 8*c - 8. Suppose 4 = -5*d - 5*j + 19, -j - 3 = 0. Let v be z(d). Factor -3*t**2 + 12*t**4 + 8*t**3 + 4*t**3 - t**2 - v*t**3.
4*t**2*(t + 1)*(3*t - 1)
Let 0 - 6/11*o**3 - 2/11*o**2 + 0*o - 6/11*o**4 - 2/11*o**5 = 0. Calculate o.
-1, 0
Let f(b) = -b**2 - 40*b - 72. Let o be f(-2). Solve 4/9*k**2 - 10/9*k + 8/9*k**3 - 8/9*k**o + 4/9 + 2/9*k**5 = 0.
-1, 1, 2
Let t = 886 + -883. Let j(v) be the second derivative of -3*v - 1/2*v**t + 3/40*v**5 + 1/40*v**6 - 3/16*v**4 + 3/2*v**2 + 0. Factor j(f).
3*(f - 1)**2*(f + 2)**2/4
Let p(a) be the third derivative of a**7/210 + a**6/240 - a**5/40 + 351*a**2 - 1. Let p(i) = 0. Calculate i.
-3/2, 0, 1
Let p(w) be the first derivative of -w**6/540 - 7*w**5/180 - 34*w**3/3 - 30. Let x(n) be the third derivative of p(n). Factor x(l).
-2*l*(l + 7)/3
Let a = 4 - 12. Let m be 7/28 - 14/a. Factor 0*v**4 - 2*v**2 - v**4 + 4*v**m - 2*v + 2*v**3 - v**4.
-2*v*(v - 1)**2*(v + 1)
Let z(c) = c**2 - 30*c - 19. Let g(v) = 5*v**2 - 180*v - 115. Let n(s) = -6*g(s) + 35*z(s). Suppose n(q) = 0. What is q?
-5, -1
Let x(f) be the first derivative of 6*f**7/7 + 14*f**6/5 + 16*f**5/5 + 4*f**4/3 + 5*f + 4. Let u(o) be the first derivative of x(o). What is p in u(p) = 0?
-1, -2/3, 0
Let v(g) be the first derivative of -13*g**3/3 - 67*g**2/2 - 10*g - 44. Factor v(z).
-(z + 5)*(13*z + 2)
Let n(o) be the third derivative of -o**5/120 - 3*o**4/4 + 37*o**3/12 - 209*o**2 - 2*o. Factor n(z).
-(z - 1)*(z + 37)/2
Let i be (8/154)/(153/(-336)). Let z = 22/51 - i. Let 2*y**4 - 30/11*y**3 - 4/11*y + 18/11*y**2 - z*y**5 + 0 = 0. What is y?
0, 2/3, 1
Let k(j) be the second derivative of 2/5*j**3 + 7*j - 1/25*j**5 + 0*j**4 - 4/5*j**2 + 0. Determine h so that k(h) = 0.
-2, 1
Let j(k) = 2*k**2 - k. Let o(h) = 5*h**3 - 35*h**2 - 25*h. Let n(r) = 5*j(r) + o(r). Factor n(s).
5*s*(s - 6)*(s + 1)
Let i(t) be the first derivative of -23/6*t**4 - 14 - 4/5*t**5 + 16/15*t**6 + 14*t + 2*t**3 + 9*t**2. Let b(q) be the first derivative of i(q). Factor b(l).
2*(l - 1)**2*(4*l + 3)**2
Solve 4/3*f**4 - 11*f**3 + 92/3*f**2 + 6 - 31*f = 0.
1/4, 2, 3
Let x(k) = 3 + 7*k**2 - 4 + 4 - 4 - 2*k. Let h be x(-1). Factor -9*j**3 + 17*j**3 + 4*j**2 + h*j**2 - 4*j**3.
4*j**2*(j + 3)
Let o = -2891 - -20241/7. Let w = -38 - -268/7. Factor -w*q + o - 2/7*q**2.
-2*(q - 1)*(q + 2)/7
Let k = 384 + -384. Suppose -2*z - 6 = -2*g, -3*z - 2*g = g - 9. What is v in 0*v + k*v**3 - 1/4*v**2 + z + 1/4*v**4 = 0?
-1, 0, 1
Let s(f) be the first derivative of 2*f**6/3 - 184*f**5/5 + 526*f**4 + 544*f**3/3 - 2990*f**2 - 4232*f - 194. What is l in s(l) = 0?
-1, 2, 23
Let h(a) be the second derivative of a**6/75 - 69*a**5/50 - 71*a**4/10 - 43*a**3/3 - 72*a**2/5 - 69*a. Determine o, given that h(o) = 0.
-1, 72
Let y be ((-7)/(-14))/((-2)/(-16)). Find f, given that 16*f**3 - 20*f**3 + f**5 + 4*f**y - 4*f**2 + 3*f**5 = 0.
-1, 0, 1
Suppose -5*c + z + 20 = 6*z, z = 4. Let o be (3/5)/(126/84). Factor 2/5*a**3 + 0*a**2 - o*a + c.
2*a*(a - 1)*(a + 1)/5
Let o(y) = y**2 + 8*y - 8. Let c be o(-9). Let h = 2 + c. Solve v**3 - v + v**h + 6*v**2 + 5*v = 0.
-2, -1, 0
Factor 10/3*t**2 - 16 + 116/3*t.
2*(t + 12)*(5*t - 2)/3
Let q(w) be the third derivative of 0*w + 0*w**3 - 12*w**2 - 1/24*w**6 - 1/30*w**4 - 1/15*w**5 + 0. Find x, given that q(x) = 0.
-2/5, 0
Factor 86/9*w**2 - 2/9*w**3 - 880/9*w - 968/9.
-2*(w - 22)**2*(w + 1)/9
Factor 24*z + 2/3*z**3 + 0 + 8*z**2.
2*z*(z + 6)**2/3
Let i(s) be the second derivative of -243*s**5/40 - 393*s**4/8 + 134*s**3/9 - 5*s**2/3 + 71*s. Suppose i(t) = 0. Calculate t.
-5, 2/27
Let p = 13/555 - -1019/3885. Suppose 22/7*k - p*k**2 + 0 = 0. What is k?
0, 11
Suppose 0 = b - 0*b - 10. Let i = 13 - b. Let 6*k**2 + 77 - 77 - 3*k**i = 0. Calculate k.
0, 2
Let v = 4551 + -4549. Factor -3/2*x - 1 + x**v.
(x - 2)*(2*x + 1)/2
Let l = 8 + -16. Let o = -3 - l. Let -3*r**4 - 3*r + r**o + r**2 + 0*r + 2*r**2 - r**2 + 2*r**3 + 1 = 0. What is r?
-1, 1
Let u(p) be the third derivative of -1/100*p**5 - 1/100*p**6 + 0*p + 0*p**3 - 2*p**2 - 1/350*p**7 + 0*p**4 + 0. Factor u(r).
-3*r**2*(r + 1)**2/5
Let p be ((-95)/10 + 9)*5 - -6. Suppose -p*f**2 + f - f**3 + 0 + 7/2*f**4 = 0. Calculate f.
-1, 0, 2/7, 1
Let s be (-1)/2 - (-273)/126. Suppose 0*f + 0*f**3 + 0 - 5/3*f**2 + s*f**4 = 0. Calculate f.
-1, 0, 1
Let q = -11 - -13. Suppose -5*g - 4 - 1 = 3*k, 3*g = q*k + 16. Factor 1/6*o + 0 - 1/6*o**g.
-o*(o - 1)/6
Let h(r) be the third derivative of -r**7/70 - r**6/4 - 6*r**5/5 + 5*r**4/4 + 25*r**3/2 + 12*r**2. Factor h(q).
-3*(q - 1)*(q + 1)*(q + 5)**2
Let a(l) = -6*l**2 + 40*l - 50. Let b(y) = -11*y**2 + 80*y - 97. Let r(p) = -7*a(p) + 4*b(p). Factor r(z).
-2*(z - 19)*(z - 1)
Factor -2/17*o**2 - 16/17*o - 14/17.
-2*(o + 1)*(o + 7)/17
Let t(y) = -y**2 + 11*y - 14. Let r be t(9). Let u = 6 - r. Factor u*n**3 + 6*n**3 - 4*n**5 - 6 + 4*n**4 - 4*n - 8*n**2 + 10.
-4*(n - 1)**3*(n + 1)**2
Let w(c) be the second derivative of c**4/24 - 17*c**3/12 +