- 8*l**2 - k + 2 + l**5 - 6*l**3 = 0.
-1, 0, 3
Let l = -8 - -12. Suppose -5 = -0*c + 5*c + 5*u, u = -l. Solve c*r + 0*r**3 + 3 - 6*r**2 + 3 - 3*r**3 = 0.
-2, -1, 1
Let l(r) be the first derivative of 0*r**3 - 18 + 0*r - 2/21*r**6 + 2/7*r**4 + 0*r**5 - 2/7*r**2. Factor l(b).
-4*b*(b - 1)**2*(b + 1)**2/7
Let x(s) = s**3 - 7*s**2 - s + 13. Let y be x(7). Suppose y*o**5 - 4*o**5 - 4*o**2 + 4*o**4 - 8*o + 6*o = 0. What is o?
-1, 0, 1
Let d(v) be the first derivative of -1 + 4/5*v**5 + 0*v**2 + 4*v**3 - 4*v**4 + 0*v. Factor d(n).
4*n**2*(n - 3)*(n - 1)
Let t(w) be the third derivative of w**8/672 + w**7/84 - 11*w**6/120 + 2*w**5/15 + 56*w**2 + 5*w. Let t(q) = 0. Calculate q.
-8, 0, 1, 2
Let j = -194 - -196. Let d(n) be the second derivative of 0 + 1/2*n**j - 11/30*n**6 + 1/14*n**7 + 7/10*n**5 - 1/6*n**3 - 1/2*n**4 - n. What is w in d(w) = 0?
-1/3, 1
Let v(u) be the second derivative of 9*u - 1/80*u**5 - 1/8*u**2 - 1/8*u**3 - 1/16*u**4 + 0. Factor v(p).
-(p + 1)**3/4
Let g = 27 + -23. Factor 12*o**2 + 10 + 2*o**3 + 22*o - g*o**2 + 6*o**2.
2*(o + 1)**2*(o + 5)
Let r(l) be the second derivative of -l**6/225 + 13*l**5/150 + 7*l**4/45 + 96*l. Factor r(f).
-2*f**2*(f - 14)*(f + 1)/15
Suppose 0 = -49*l + 190 + 104. Let y(o) be the first derivative of 4/3*o**3 - l*o**2 - 6 + 0*o. Factor y(q).
4*q*(q - 3)
Solve -5/2*a**5 + 0*a**2 + 0 + 0*a - 15/2*a**4 + 25*a**3 = 0 for a.
-5, 0, 2
Let v(q) = -12*q**3 + 4*q**2. Let w(x) = -34*x**3 + 12*x**2. Let h(g) = -14*v(g) + 5*w(g). Factor h(k).
-2*k**2*(k - 2)
Factor 0 + 9*y**2 - 15/2*y**3 + 0*y - 3/2*y**4.
-3*y**2*(y - 1)*(y + 6)/2
Let u(b) = -b**2 + 9*b + 94. Let w be u(-6). Let d(j) = j**2 + 3. Let r be d(0). Find c, given that -r*c**w - 24*c**5 + 22*c**5 + c**4 = 0.
-1, 0
Let u be (2/4)/(25/150). Let m(j) be the first derivative of 0*j**u - 3 + 1/8*j**4 + 0*j**2 + 0*j + 1/5*j**5. Determine c, given that m(c) = 0.
-1/2, 0
Let 14801/4*n + 4541/2*n**2 + 6859/4 + 59/4*n**4 + 1/4*n**5 + 599/2*n**3 = 0. What is n?
-19, -1
Let x be (-2 + (-16)/(-5))/(3/10). Suppose 0 = -4*y + 3*o - x, 5*o - 23 = -3. Find d such that -8/9*d**y + 8/9*d + 2/9*d**3 + 0 = 0.
0, 2
Suppose -13*j + 494 = -0*j. Let z = -36 + j. Solve 2/7*u**z + 4/7*u + 2/7 = 0.
-1
Let q(h) = -2*h**4 - 6*h**3 + 6*h**2 + 22*h - 8. Let o(z) = 4*z**4 + 13*z**3 - 9*z**2 - 45*z + 18. Let v(m) = 4*o(m) + 9*q(m). Solve v(k) = 0.
-3, -1, 0, 3
Let i(p) be the first derivative of 4*p**5/5 + 5*p**4 + 8*p**3 - 156. Factor i(o).
4*o**2*(o + 2)*(o + 3)
Solve 154*c**2 - 72*c - 139*c**2 + 24*c + 9 = 0 for c.
1/5, 3
Let m(s) be the second derivative of 0 + 0*s**3 - 5*s - 1/180*s**5 + 0*s**2 + 1/27*s**4. Factor m(v).
-v**2*(v - 4)/9
Find c such that -88 + 4*c**3 + 16*c + 14*c + 48*c**2 + 6*c + 0*c = 0.
-11, -2, 1
Suppose -3 - 3 = 6*p. Let q = p + 1. Solve 2/3*s**3 + 1/3*s + s**2 + q = 0 for s.
-1, -1/2, 0
Let n(p) be the second derivative of -9*p + 1/4*p**2 + 1/6*p**4 + 0 + 5/12*p**3. Factor n(f).
(f + 1)*(4*f + 1)/2
Let 4*x - 1/4*x**3 - x**2 + 16 = 0. Calculate x.
-4, 4
Let o(y) be the first derivative of -y**4/28 - 6*y**3/7 - 40*y**2/7 - 297. Factor o(u).
-u*(u + 8)*(u + 10)/7
Let v(a) be the third derivative of 0*a**4 + 0*a**3 - 1/15*a**5 + 0 - 48*a**2 + 0*a**6 + 0*a + 1/336*a**8 + 1/70*a**7. Suppose v(b) = 0. What is b?
-2, 0, 1
Let x(p) = -622*p**3 - 1350*p**2 - 198*p - 5. Let v(u) = u**3 + 2*u + 1. Let j(i) = -3*v(i) + x(i). What is a in j(a) = 0?
-2, -2/25
Let s(z) = 2*z**5 - 5*z**4 + 9*z**3 - 11*z**2 + 5*z. Let j(k) = 2*k**5 - 4*k**4 + 8*k**3 - 12*k**2 + 6*k. Let x(p) = 3*j(p) - 4*s(p). Solve x(b) = 0.
0, 1
Let i(f) be the first derivative of 11*f**4/2 + 16*f**3 + 15*f**2 + 4*f + 118. What is k in i(k) = 0?
-1, -2/11
Let n(q) be the first derivative of -4*q**3/3 - 120*q**2 - 236*q - 53. Let n(s) = 0. What is s?
-59, -1
Suppose -2*g + 3 - 1 = 0. Factor 0*f**2 - 5 + 3*f**2 + 1 + g.
3*(f - 1)*(f + 1)
Let x = 4 + 12. Let -6*z**2 - 9*z**2 + x*z**2 = 0. What is z?
0
What is o in -18/5*o**4 + 3/5*o**3 + 3/5*o**5 + 48/5*o + 72/5*o**2 + 0 = 0?
-1, 0, 4
Let w be (-39)/(-7) - (-31 - -36). Let i(l) be the first derivative of -2/21*l**3 + 6 + w*l**2 - 8/7*l. Factor i(p).
-2*(p - 2)**2/7
Let k = -363/10 - -3307/90. What is y in 14/9*y**2 + 0 - k*y = 0?
0, 2/7
Let v(l) = -l**3 - 11*l**2 - 2*l - 19. Let f be v(-11). What is t in -5*t**2 + 3*t**f - t**2 + 2*t**3 - 4*t**2 + 5*t = 0?
0, 1
Suppose 16*b + 918 = 7*b. Let s = b + 104. Let 0*c**s - 2/5*c**3 + 4/5 + 6/5*c = 0. What is c?
-1, 2
Suppose 6/7*d**4 - 8/7*d**2 - 4/7*d**3 + 4/7*d + 2/7 = 0. What is d?
-1, -1/3, 1
Suppose -2*t = -40 - 24. Suppose f - 34 + t = 0. Let 0*q - 3/4*q**f + 0 = 0. What is q?
0
Suppose l = -5*f - 19, 4*l + f - 8 = 11. Factor -3*p**2 + l*p**2 - 8*p**2 + 10*p - 5*p**3.
-5*p*(p - 1)*(p + 2)
Suppose 0 = -9*b - 0*b. Let d(u) be the first derivative of -32/9*u**3 - 7 + 4/3*u**2 + 14/15*u**5 + b*u + 5/6*u**4. Let d(w) = 0. What is w?
-2, 0, 2/7, 1
Let o(a) = -4*a**3 - 12*a**2 + 21*a + 10. Let i(p) = -6*p**3 - 18*p**2 + 31*p + 14. Let z(j) = 5*i(j) - 7*o(j). Factor z(l).
-2*l*(l - 1)*(l + 4)
Let f(y) be the third derivative of y**7/140 - y**6/80 - y**5/40 + y**4/16 + 19*y**2 + 2. Factor f(h).
3*h*(h - 1)**2*(h + 1)/2
Let u(z) be the first derivative of 1/22*z**4 + 8/11*z + 17 - 2/11*z**3 + 0*z**2. Factor u(f).
2*(f - 2)**2*(f + 1)/11
Suppose -192*u = -186*u. Factor 0*r + 6/5*r**2 + 2/5*r**5 - 2*r**3 + u + 2/5*r**4.
2*r**2*(r - 1)**2*(r + 3)/5
Let o(m) = 8*m**3 - 34*m**2 - 44*m - 26. Let q(l) = 6*l**3 - 33*l**2 - 44*l - 25. Let r(g) = 5*o(g) - 6*q(g). Factor r(j).
4*(j + 1)**2*(j + 5)
Find b, given that 110 - 9*b**2 - 274 + 102*b + 124 + 112 = 0.
-2/3, 12
Let y = -862 - -865. Let z(u) = u + 9. Let f be z(-7). Solve 2/15*j**5 + 2/15*j**f - 2/15*j**4 - 2/15*j**y + 0*j + 0 = 0 for j.
-1, 0, 1
Let x be -1 + 4 + 3/3. Suppose -4*p + x*r + 24 = 0, 2*p + 3*r = -7 - 1. Determine g so that -6*g + 0*g - 4*g**2 + 3*g**2 - g**p = 0.
-3, 0
Let l = 35/4 + -237/28. Let j(b) be the second derivative of l*b**2 - b + 1/210*b**6 + 0 - 2/21*b**3 - 1/28*b**4 + 1/70*b**5. Factor j(a).
(a - 1)**2*(a + 2)**2/7
Let l(q) be the third derivative of -1/345*q**5 - 7*q**2 + 1/69*q**4 + 0 + 0*q - 1/1380*q**6 + 8/69*q**3. Find i such that l(i) = 0.
-2, 2
Let b be 518/63 + 4/(-18). Let l = b - 5. Factor -2*k**3 - k**2 - 4*k**3 + 3*k**l + 2*k**3.
-k**2*(k + 1)
Let s(b) be the second derivative of b**7/11340 - b**6/3240 - b**5/270 + 3*b**4/4 + 29*b. Let i(c) be the third derivative of s(c). Factor i(t).
2*(t - 2)*(t + 1)/9
Let w(r) be the third derivative of -r**8/112 + 9*r**7/70 - 3*r**6/4 + 11*r**5/5 - 3*r**4 - 47*r**2. Suppose w(j) = 0. Calculate j.
0, 2, 3
Suppose -k + u + 163 = 0, -5*k - u = -2*u - 811. Let i = k - 159. Determine d, given that 2/3*d - 2/3*d**5 + 0 - 4/3*d**4 + 4/3*d**2 + 0*d**i = 0.
-1, 0, 1
Let s = 221/316 + 4/79. Let b = s - -1/20. Factor 0 - 2/5*a**2 - b*a.
-2*a*(a + 2)/5
Find h, given that 0*h**2 - 2/5*h**3 + 0 + 0*h + 2/5*h**4 = 0.
0, 1
Suppose -5*j = -2*j - 24. Factor 8*f + 169 + 4*f**2 + j*f - 153.
4*(f + 2)**2
Let b(v) be the third derivative of -v**6/120 + v**5/20 - v**4/8 + v**3/6 + 27*v**2 - 1. Factor b(n).
-(n - 1)**3
Let r(p) be the third derivative of p**7/210 + p**6/4 + 193*p**5/60 - 20*p**4 + 128*p**3/3 - p**2 + 1. Factor r(n).
(n - 1)**2*(n + 16)**2
Let n(q) = -6*q**2 + 420*q - 14703. Let g(y) = 7*y**2 - 420*y + 14704. Let l(x) = -3*g(x) - 4*n(x). Factor l(m).
3*(m - 70)**2
Let i be 1/((-3)/12) - 19. Let p = -21 - i. Factor -2*q**2 - 4*q + p*q**2 - 3*q**2 - q**2.
-4*q*(q + 1)
Let p(a) be the third derivative of -1/60*a**6 + 0 + 2*a**2 + 0*a**4 + 1/105*a**7 - 1/30*a**5 + 1/168*a**8 + 0*a + 0*a**3. Let p(s) = 0. What is s?
-1, 0, 1
Factor -343*g**2 - 512 + 960*g + g**4 - 60*g**3 + 197*g**2 - 7*g**4 + 4*g**4 - 240*g**2.
-2*(g - 1)**2*(g + 16)**2
Let n(a) be the second derivative of -a**5/270 - a**4/108 - a**2 - 13*a. Let k(q) be the first derivative of n(q). Find t such that k(t) = 0.
-1, 0
Suppose -4*i + 0 = -12. Let d = 15 + -9. Factor 12*c**2 + 2*c**4 - 9 - d*c**4 - c**i + 7 - 3*c - 2*c.
-(c - 1)**2*(c + 2)*(4*c + 1)
Let g(w) = -6*w**2 - w**4 + 3*w**4 + 13 + 0*w**4 - 2*w - 11. Let d(t) = t**4 + t**2 + t - 1. Let z(k) = -2*d(k) - g(k). Find q such that z(q) = 0.
-1, 0, 1
Suppose 7*n**2 - 7 + 8*n**2 + 5*n**3 + 0*n**3 - 