)**2*(m + 1)/4
Let t(m) = -m**3 + m**2 - m - 2. Let v be t(0). Let c = 4 + v. Determine j, given that c*j**4 - 5*j**3 + 2*j**2 - 4 - 6*j + 3*j**3 + 8*j**3 = 0.
-2, -1, 1
Let p(t) = -2*t - 4. Let n be p(-4). Factor i**3 - i**2 + n*i**2 - 2*i**2 - 2*i**3.
-i**2*(i - 1)
Let -10/9*s**3 + 4/9*s**2 + 0 - 14/9*s**4 + 0*s = 0. What is s?
-1, 0, 2/7
Solve 0*h + 2/11*h**4 + 8/11*h**3 + 0*h**2 + 0 = 0.
-4, 0
Let r(v) be the first derivative of 5*v**4/2 - 5*v**3 - 15*v**2/2 + 10*v - 23. Factor r(f).
5*(f - 2)*(f + 1)*(2*f - 1)
Let s(g) = -2*g**2 + 10*g. Let b be s(6). Let l be (-20)/b - -3 - 4. Factor 4/3*f**2 - 2/3*f**4 - 2/3*f - l - 2/3*f**5 + 4/3*f**3.
-2*(f - 1)**2*(f + 1)**3/3
Let g(o) be the second derivative of -1/60*o**6 + o - 1/30*o**5 + 0*o**4 + 0 + o**2 + 0*o**3. Let s(q) be the first derivative of g(q). Factor s(k).
-2*k**2*(k + 1)
Let k(d) be the second derivative of d**8/3360 - d**7/840 + d**6/720 + 7*d**3/6 - d. Let n(x) be the second derivative of k(x). Factor n(o).
o**2*(o - 1)**2/2
Let x(y) = y + 4. Let b be x(-2). Let f be (b + 2)*(-5)/(-30). Factor -2/3*v**3 - f*v**2 + 0*v + 0.
-2*v**2*(v + 1)/3
Suppose 0 = 3*t + b + 79, t + 37 = b + 4. Let a be (-49)/t*4/14. Factor -k**3 + 0 - a*k**2 + 3/2*k**4 + 0*k.
k**2*(k - 1)*(3*k + 1)/2
Suppose 0 = 10*m - 5*m - 25. Let c(k) be the second derivative of 2*k + 1/3*k**3 + 0 - 1/10*k**m - k**2 + 1/6*k**4. Factor c(s).
-2*(s - 1)**2*(s + 1)
Let h be (-11 - -1)*(-1)/(-2). Let r be (1 - -1)/(h + 6). Factor 8*u - 2*u**4 - 3*u**r - 1 - 1 + 8*u**3 - 9*u**2.
-2*(u - 1)**4
What is u in 2*u**2 - 3*u**4 + 3*u**3 + 2*u**2 + 2*u**4 - 3*u**5 - 3*u**2 = 0?
-1, -1/3, 0, 1
Let k = 6 - 6. Let m be 4/(-8) + 1 + k. Determine x so that -x - 1/2 - m*x**2 = 0.
-1
Let c(f) be the third derivative of -f**8/784 + 2*f**7/245 - f**6/70 - f**5/70 + 5*f**4/56 - f**3/7 + 6*f**2. Suppose c(h) = 0. What is h?
-1, 1, 2
Let m(y) be the second derivative of y**7/33 + 37*y**6/165 + 31*y**5/110 - 19*y**4/22 - 6*y**3/11 - 11*y. What is t in m(t) = 0?
-3, -2/7, 0, 1
Solve 16/5*d**4 + 0*d**2 + 6/5*d**5 + 0 - 2/5*d + 12/5*d**3 = 0.
-1, 0, 1/3
Suppose -12 = -3*u - u. Let l be 6 + -1*(-16)/(-4). Factor 0*r + 1/4 + 0*r**u - 1/2*r**l + 1/4*r**4.
(r - 1)**2*(r + 1)**2/4
Let w(o) be the second derivative of o**6/90 - o**5/60 + 23*o. Factor w(r).
r**3*(r - 1)/3
Let s(z) be the first derivative of 4*z**3/11 + 5*z**2/11 + 2*z/11 + 2. Factor s(v).
2*(2*v + 1)*(3*v + 1)/11
Let f(o) be the first derivative of -2*o**4 - 2*o**3 + o**2 - 19. Solve f(m) = 0.
-1, 0, 1/4
Let p(u) be the first derivative of 2*u**3/33 - u**2/11 + 6. Factor p(f).
2*f*(f - 1)/11
Let c(r) be the third derivative of 2/3*r**4 + 0 - 6*r**2 - 1/12*r**5 - 5/24*r**6 - 2/3*r**3 + 0*r. Factor c(k).
-(k + 1)*(5*k - 2)**2
Determine h so that 0 + 3*h**3 + 21/5*h**2 + 3/5*h**4 + 9/5*h = 0.
-3, -1, 0
Let s(j) be the second derivative of -3*j**5/20 - j**4/4 + j**3/2 + 3*j**2/2 - 8*j. Factor s(g).
-3*(g - 1)*(g + 1)**2
Let s(r) be the first derivative of 3 + 1/48*r**4 - 1/160*r**5 + 0*r - r**3 + 0*r**2 + 1/1440*r**6. Let o(f) be the third derivative of s(f). Factor o(i).
(i - 2)*(i - 1)/4
Let n(o) be the first derivative of o**8/504 - o**6/90 + o**4/36 + o**2 + 11. Let c(h) be the second derivative of n(h). Find s such that c(s) = 0.
-1, 0, 1
Let b = -2 + 7. Suppose 0 = -5*y + 5*q + 15, 1 = b*y - 4*q - 15. Factor y*g**4 - 2*g**5 - 4*g**4 + 2*g**3.
-2*g**3*(g - 1)*(g + 1)
Factor -692*d**2 + 728*d**2 + 13 + 48*d + 3.
4*(3*d + 2)**2
Let s(y) = y**2 + 2. Let p be s(0). Suppose 0 = 3*v + 15, -v + 13 + 0 = 3*o. Factor 6 - o + 2*a**4 - p*a + 6*a**2 - 6*a**3.
2*a*(a - 1)**3
Let m(k) = 4*k**2. Let x be m(1). Factor 2*y**3 + 2*y**5 - 3*y**5 + x*y**4 + 3*y**5.
2*y**3*(y + 1)**2
Let u(n) = 2*n**3 + 7*n**2 - 7*n - 2. Let x(h) = -h**3 - 3*h**2 + 3*h + 1. Let l(t) = 2*u(t) + 5*x(t). Factor l(k).
-(k - 1)*(k + 1)**2
Let x(g) be the second derivative of g**4/12 - g**3/3 - 3*g**2/2 + 20*g. Factor x(h).
(h - 3)*(h + 1)
Let r(h) = -h**3 - 21*h**2 - 45*h - 29. Let b(v) = -4*v**3 - 64*v**2 - 136*v - 88. Let x(s) = -3*b(s) + 8*r(s). Factor x(n).
4*(n + 2)**3
Let c(l) be the first derivative of 5*l**6/12 + 4*l**5/3 - 5*l**4/3 - 35*l**3/9 + 25*l**2/12 + 5*l - 2. Suppose c(x) = 0. Calculate x.
-3, -1, -2/3, 1
Let d(w) be the third derivative of 0*w + 5*w**2 + 0 - 5/24*w**4 + 1/3*w**3 + 1/30*w**5. Factor d(h).
(h - 2)*(2*h - 1)
Suppose 1/3*u**5 - 1/6*u**3 - 1/6*u + 0 - 1/2*u**4 + 1/2*u**2 = 0. What is u?
-1, 0, 1/2, 1
Suppose 3*z - 2 = 1. Suppose -2*n + 8*j + 9 = 3*j, 3*j = -n - z. Let -6*h**4 - h**2 + n*h**2 + 10*h**5 - 5*h**4 - 6*h**3 + 4*h**2 + 2*h = 0. What is h?
-1/2, -2/5, 0, 1
Let j = 145 - 143. Factor 8/7 + 2/7*w**j - 8/7*w.
2*(w - 2)**2/7
Let b(m) be the first derivative of m**5/270 - m**4/27 + 4*m**3/27 - 3*m**2 + 6. Let w(y) be the second derivative of b(y). Solve w(x) = 0.
2
Let v = 141 - 1691/12. Let x(b) be the third derivative of 0*b**6 + 0 - v*b**4 - 2*b**2 - 1/210*b**7 + 0*b**3 + 1/20*b**5 + 0*b. Find c, given that x(c) = 0.
-2, 0, 1
Let a(k) = -k + 10. Let w be a(8). Determine j, given that 3*j**2 + w*j**2 - 4*j**2 - 2*j**3 + j**2 = 0.
0, 1
Suppose 3*r - 5*q = 13, 2*q + 10 = 3*r - r. Let p be ((-9)/r)/((-1)/2). Let 9/4*f + 3/4*f**p - 9/4*f**2 - 3/4 = 0. Calculate f.
1
Let a(r) = 11*r**5 - 2*r**4 - 14*r**2 - 11*r. Let d(f) = 4*f**5 - f**4 - 5*f**2 - 4*f. Let q(y) = 3*a(y) - 8*d(y). Suppose q(b) = 0. What is b?
-1, 0, 1
Determine m so that 15*m**2 + 6*m + 9*m**3 + 6*m**4 + m**3 + 2*m**3 - 3*m**4 = 0.
-2, -1, 0
Let j = -91 - -91. Let n(l) be the third derivative of j + l**2 + 0*l + 1/96*l**4 - 1/480*l**6 - 1/240*l**5 + 1/24*l**3. Determine c, given that n(c) = 0.
-1, 1
Factor 20/13*n - 2/13*n**2 - 50/13.
-2*(n - 5)**2/13
Let c(q) be the second derivative of q**3/6 - 5*q**2/2 - 4*q. Let u be c(7). Let u*z**5 - 6*z**4 - 5*z**3 - 2*z**2 - 3*z**5 + 2*z**4 = 0. Calculate z.
-2, -1, 0
Let z(m) be the second derivative of -m**5/20 - m**4/12 + 2*m. Factor z(v).
-v**2*(v + 1)
Let z(l) be the second derivative of -3*l**5/20 + l**4/4 + 4*l. Suppose z(y) = 0. Calculate y.
0, 1
Let p(m) be the second derivative of -m**4/24 - 10*m**3/3 - 100*m**2 + 8*m + 3. Determine z so that p(z) = 0.
-20
Let u be (-4)/(-10) + (-23)/(-5). Suppose -5*d + 3*b - 2*b = -20, -b - u = 0. Factor 4/3*v**2 - 2/3 + 0*v**d + 0*v - 2/3*v**4.
-2*(v - 1)**2*(v + 1)**2/3
Factor 0 + 0*w - 2/3*w**3 + 1/3*w**4 + 1/3*w**2.
w**2*(w - 1)**2/3
Let g = -4 + 6. Factor -15*f**g + 0*f**3 + 8 + 12*f**3 - 22*f - f**2 + 2*f.
4*(f - 2)*(f + 1)*(3*f - 1)
Determine r so that -6*r**3 - 3 + 9/2*r + 3*r**2 + 3/2*r**5 + 0*r**4 = 0.
-2, -1, 1
Let l = -6 - -12. Let y be (-16)/(-6)*l/28. Solve y*g + 2*g**2 + 0 = 0 for g.
-2/7, 0
Let t(f) be the third derivative of -f**10/50400 - f**4/12 + f**2. Let a(n) be the second derivative of t(n). Factor a(k).
-3*k**5/5
Let w(n) be the third derivative of -n**5/12 + 5*n**4/48 + 5*n**3/12 + 15*n**2. Solve w(t) = 0.
-1/2, 1
Let d(t) be the first derivative of -1/45*t**5 - 2 - 1/180*t**6 + 3/2*t**2 + 2/9*t**3 + 1/36*t**4 + 0*t. Let a(h) be the second derivative of d(h). Factor a(x).
-2*(x - 1)*(x + 1)*(x + 2)/3
Let q = 217/855 - 3/95. Factor 0 - q*l**3 + 2/9*l + 2/9*l**2 - 2/9*l**4.
-2*l*(l - 1)*(l + 1)**2/9
Let f be 4/(-1) - (-4 - (-48)/(-78)). Factor 6/13*j**3 - 2/13*j + f*j**2 - 4/13.
2*(j + 1)**2*(3*j - 2)/13
Let k(g) be the third derivative of g**7/105 + 2*g**6/45 - 11*g**5/90 - 7*g**4/9 - 4*g**3/3 - 25*g**2. Let k(w) = 0. What is w?
-3, -1, -2/3, 2
Let k(f) = -f**2 - 6*f - 17. Let c be k(-8). Let b = c + 67/2. Factor b*g - 1/6*g**2 - 1/3.
-(g - 2)*(g - 1)/6
Let x(i) be the first derivative of i + 1/3*i**3 + 3 + i**2. What is w in x(w) = 0?
-1
Let l(z) be the first derivative of 3/4*z**4 + 0*z**2 - 1 + 1/6*z**6 - 3/5*z**5 - 1/3*z**3 + 0*z. Let l(q) = 0. Calculate q.
0, 1
Let u(c) be the third derivative of -2*c**7/315 + c**6/45 - c**5/45 - 8*c**2. Factor u(d).
-4*d**2*(d - 1)**2/3
Let f = -295321/63 + 4688. Let i = f + -2/63. Find r such that 1/6*r**2 + 1/6*r**3 - i*r + 0 = 0.
-2, 0, 1
Let u = 30 + -26. Let n = 19 + -37/2. Factor -5/2*t - 1 - 3/2*t**2 + n*t**3 + 1/2*t**u.
(t - 2)*(t + 1)**3/2
Let u(n) be the second derivative of n**6/105 - n**5/70 + 64*n. Factor u(q).
2*q**3*(q - 1)/7
Let k(l) = -l + 1. Let a(t) = 3*t**2 + 18*