+ 4/11*h**4 - 6/11*h**3 + 2/11*h**5 = 0.
-2, 0, 1
Suppose -4*v - 7*z + 5*z + 6 = 0, 4*v - 3*z = 31. Let w(k) be the first derivative of 0*k - 5 - 1/14*k**v + 0*k**3 + 1/7*k**2. Suppose w(t) = 0. What is t?
-1, 0, 1
Let w(r) be the third derivative of r**5/60 + r**4/24 - 2*r**3/3 - 5*r**2. Let f be w(-3). Factor -4*y**f + 2*y**3 - 7*y**2 + 9*y**2.
2*y**2*(y - 1)
Factor -6*k**4 + 265299*k**2 - 2840*k**3 + 2032934480 + 339621*k**2 - 57265760*k + 11*k**4.
5*(k - 142)**4
Let i be 0 + 171 - (2 - 6). Let b = i + -107. Let -2*g + 2*g**3 - 7*g**4 + b - 68 + 7*g**2 = 0. Calculate g.
-1, 0, 2/7, 1
Let l(t) = -13*t**2 - 7 + 12*t - 12 - 8 + 2*t**2. Let v(z) = -5*z**2 + 6*z - 13. Let j(r) = -4*l(r) + 9*v(r). Let j(q) = 0. Calculate q.
3
Let n be 205/(6/(-15) + -2 + 4). Let f = n + -128. Find z such that f*z**4 + 5/8*z**3 + 0 + z**2 + 1/2*z = 0.
-2, -1, 0
Let p(v) be the second derivative of -21*v + 3/14*v**4 + 0*v**2 + 0 + 1/105*v**6 + 0*v**3 - 3/35*v**5. Factor p(n).
2*n**2*(n - 3)**2/7
Let n be (-6 + 7)*(1 - -1). Suppose 7*g = n*g + 25. Factor -2*b**3 + 5*b**3 - b**2 + 6*b**5 - 3*b**4 - 5*b**g.
b**2*(b - 1)**3
Factor -9*p**4 - 2*p**4 - 4*p**5 + 20*p + 8*p**2 + 8 - 8*p**4 - 16*p**3 + 3*p**4.
-4*(p - 1)*(p + 1)**3*(p + 2)
Let i be (-9)/(-2)*(-8)/(-6). Suppose -i*v**2 + 13*v**3 - 11*v**3 + v**3 = 0. What is v?
0, 2
Let n(y) = -y**2 - 34*y + 1007. Let b be n(-53). Determine m, given that 1/5*m + 1/10*m**3 + b - 3/10*m**2 = 0.
0, 1, 2
Let i(b) be the second derivative of -b**7/63 - 7*b**6/45 + 29*b**5/30 + 235*b**4/18 - 200*b**3/9 - 2000*b**2/3 + 37*b - 1. What is x in i(x) = 0?
-5, 4
Suppose z = a - 2, -5 = 2*z + a - 2*a. Let v be (2 - 0) + z*8/18. Suppose 2/3*i**3 - 4/3*i**2 + 2/3*i**4 - 1/3*i**5 - 1/3*i + v = 0. What is i?
-1, 1, 2
Let v(b) be the first derivative of -3*b**2 - 1 + 9/5*b**5 + 3/4*b**4 + 1/2*b**6 - 3*b**3 + 0*b. Factor v(q).
3*q*(q - 1)*(q + 1)**2*(q + 2)
Find u, given that 0 + 13/3*u - 1/3*u**2 = 0.
0, 13
Solve -56/5 + 4/5*w**3 - 108/5*w - 48/5*w**2 = 0 for w.
-1, 14
Let d = -54418/5 + 10884. Factor -d*g + 0 + 2/5*g**2.
2*g*(g - 1)/5
Determine o, given that 4*o**2 - o**4 - 92*o**3 + 3*o + o**2 + 93*o**3 = 0.
-1, 0, 3
Let g = 1132 + -1128. Let i(p) be the third derivative of -16/27*p**3 + 0 + 8*p**2 - 1/270*p**5 + 0*p - 2/27*p**g. Suppose i(t) = 0. What is t?
-4
Let j(b) be the first derivative of -b**6/75 + b**4/30 + 49*b - 1. Let g(v) be the first derivative of j(v). Factor g(t).
-2*t**2*(t - 1)*(t + 1)/5
Let l(h) = -2*h**3 - 9*h**2 - 7*h - 7. Let b be l(-4). What is d in 2/7*d + 0 + 2/7*d**b - 4/7*d**3 + 0*d**2 + 0*d**4 = 0?
-1, 0, 1
Let m be ((-2)/(-16))/((-5786)/(-8416)). Suppose 2*c = 4*c - n - 9, 4*c + 4*n = 0. Factor -2/11*s - 6/11*s**c - m + 10/11*s**2.
-2*(s - 1)**2*(3*s + 1)/11
Let k(v) be the first derivative of -1/7*v**2 - 1/21*v**6 - 4/21*v**3 + 2/7*v - 5 + 2/35*v**5 + 1/7*v**4. Let k(g) = 0. What is g?
-1, 1
Let f(y) be the third derivative of y**6/1320 - 4*y**5/33 - 83*y**4/66 - 56*y**3/11 + 433*y**2. Let f(n) = 0. What is n?
-2, 84
Let b(l) = -2*l**4 - 8*l**3 - 10*l**2 - 7*l. Let z be -4 - (0 + (-3)/3). Let d(v) = -6*v**4 - 24*v**3 - 30*v**2 - 20*v. Let a(p) = z*d(p) + 8*b(p). Factor a(t).
2*t*(t + 1)**2*(t + 2)
Let d(l) = l**2 + 8*l. Let b be d(-9). Let k be (-84)/154*(-3)/b. Determine p, given that k*p**3 - 2/11*p**2 - 4/11*p + 0 = 0.
-1, 0, 2
Factor 18/7 - 2/7*w**3 - 6/7*w - 10/7*w**2.
-2*(w - 1)*(w + 3)**2/7
Let t(v) be the first derivative of -5/14*v**4 + 27/7*v + 12/7*v**3 + 11 - 27/7*v**2 + 1/35*v**5. Solve t(l) = 0 for l.
1, 3
Let k = 992/513 + -38/27. Let b = -21/76 + k. Factor b + 1/4*z - 1/4*z**2 - 1/4*z**3.
-(z - 1)*(z + 1)**2/4
Let t(c) be the second derivative of -c**6/15 - c**5/2 + c**4/2 + 13*c**3/3 - 10*c**2 + 21*c - 2. Determine h, given that t(h) = 0.
-5, -2, 1
Let g(m) be the first derivative of -m**6/90 - 34*m**3/3 + 15. Let h(x) be the third derivative of g(x). Factor h(z).
-4*z**2
Suppose -i - 18*i = -11*i. Let k(y) be the second derivative of 1/8*y**3 - 7*y + i*y**2 + 0 - 1/16*y**4. Factor k(d).
-3*d*(d - 1)/4
Let u = -60 + 64. Factor 0*v + 18*v**3 - 6*v**3 + 0*v + 4*v**u.
4*v**3*(v + 3)
What is j in -90738/13 - 2/13*j**2 + 852/13*j = 0?
213
Let o(v) be the third derivative of v**5/90 - 7*v**4/18 + 13*v**3/9 + 19*v**2. Factor o(m).
2*(m - 13)*(m - 1)/3
Let o(i) = 2*i**2 - 38*i - 17. Let l be o(23). Let n = l + -832/5. Suppose -3/5*f**3 + 3/5*f**2 - n + 3/5*f = 0. What is f?
-1, 1
Let a(m) = m**5 - 18*m**4 + 38*m**3 - 45*m**2 + 24*m - 7. Let h(b) = -b**4 + b**2 - 1. Let y(k) = 2*a(k) - 14*h(k). Solve y(z) = 0 for z.
0, 1, 2, 6
Let q be (28 + (-1 - -1))/2. Find z, given that -9*z + 9*z**4 + 7*z**3 - 9*z**2 - 15*z**5 + 3*z + q*z**3 = 0.
-1, -2/5, 0, 1
Let y(f) = -5*f**3 - 78*f**2 - 2*f - 4. Let w(s) = 25*s**3 + 389*s**2 + 11*s + 22. Let b(k) = 2*w(k) + 11*y(k). Determine j, given that b(j) = 0.
-16, 0
Suppose -10*n - 19 = -19. Let m(g) be the third derivative of n*g + 2*g**4 + 8*g**2 - 11/15*g**5 - 8/3*g**3 + 1/10*g**6 + 0. Factor m(l).
4*(l - 2)*(l - 1)*(3*l - 2)
Let f(m) be the third derivative of 0*m**3 + 0*m + 1/320*m**6 - 1/32*m**5 + 0*m**4 + 0 + 48*m**2. Factor f(i).
3*i**2*(i - 5)/8
Let i(b) = b**3 - b**2 - b. Let w(d) = -30*d**3 - 80*d**2 - 75*d - 20. Let f(g) = 5*i(g) + w(g). Find j, given that f(j) = 0.
-2, -1, -2/5
Factor -2960*p - 5*p**2 + 1449*p + 1371*p - 135.
-5*(p + 1)*(p + 27)
Let k(i) = -7*i**3 - 21*i**2 - 25*i - 15. Let j(c) = -36*c**3 - 105*c**2 - 123*c - 75. Let h(x) = -4*j(x) + 21*k(x). Solve h(f) = 0.
-5, -1
Let c(m) be the third derivative of -m**6/96 - 9*m**5/4 - 405*m**4/2 - 9720*m**3 - m**2 + 6*m. Factor c(p).
-5*(p + 36)**3/4
Let a(p) be the third derivative of 4/3*p**3 - 6*p**2 + 2*p**4 + 3/20*p**6 + 0 + 29/30*p**5 + 0*p. Factor a(h).
2*(h + 1)*(h + 2)*(9*h + 2)
Factor 131*c**2 - 168 - 81*c**2 - 171*c - 53*c**2.
-3*(c + 1)*(c + 56)
Let x = -2417 - -2417. Let t(o) be the second derivative of 0 + 1/30*o**6 + x*o**5 + 0*o**2 + 11*o - 1/4*o**4 + 1/3*o**3. What is b in t(b) = 0?
-2, 0, 1
Let w(u) = 3*u - 6. Let s be w(4). Find i such that -s*i + 3 - 1 + 2 + 2*i**2 = 0.
1, 2
Let p(q) be the first derivative of q**4/12 - 187*q**3/9 + 4324*q**2/3 + 8836*q/3 + 536. Factor p(o).
(o - 94)**2*(o + 1)/3
Let t(g) be the third derivative of 2*g**7/105 - 13*g**6/30 - g**5/15 + 13*g**4/6 - 103*g**2 + 1. Factor t(u).
4*u*(u - 13)*(u - 1)*(u + 1)
Determine i, given that -1156/7 + 68/7*i - 1/7*i**2 = 0.
34
Let y(t) be the second derivative of -t**4/3 + 34*t**3/3 + 36*t**2 + 56*t. Factor y(v).
-4*(v - 18)*(v + 1)
Let t(r) be the second derivative of 2*r**3 - 1/4*r**4 - 3/20*r**5 + 6*r**2 - 8 - 2*r. Factor t(c).
-3*(c - 2)*(c + 1)*(c + 2)
Let t(q) be the second derivative of 0*q**3 + 1/70*q**5 + 27*q - 2/21*q**4 + 0 + 0*q**2. Factor t(c).
2*c**2*(c - 4)/7
Let h(v) be the first derivative of -v**2 + 1/9*v**3 + 3 + 0*v - 1/90*v**5 + 1/36*v**4 - 1/180*v**6. Let a(u) be the second derivative of h(u). Factor a(w).
-2*(w - 1)*(w + 1)**2/3
Factor 18*t - t**5 - 2*t - 30*t**3 - 4*t**3 + 8*t**2 + 19*t**3 - 8*t**4.
-t*(t - 1)*(t + 1)*(t + 4)**2
Let d(x) be the third derivative of x**8/48 + x**7/7 + 11*x**6/60 - 2*x**5/5 - 29*x**4/24 - x**3 + 6*x**2 - 5. Let d(g) = 0. What is g?
-3, -1, -2/7, 1
Suppose 6 - 9/2*r**2 + 3/4*r**4 - 3*r + 3/4*r**3 = 0. Calculate r.
-2, 1, 2
Let q = 17 - 15. Find n such that 4*n**2 - 12*n**5 - 4*n**q + 12*n**4 - 2*n**2 + 2*n**4 = 0.
-1/3, 0, 1/2, 1
Suppose -4*p + 3*p = -3*x + 6, 3*p = 3*x. Suppose -p*u = -u - 8. Factor -6*h**3 - 1 + u*h**4 - 3*h - 10*h**2 + 3 + 9*h + 4*h**4.
2*(h - 1)**2*(h + 1)*(4*h + 1)
Let o(j) = -6*j - 28. Let h be o(-5). Let i be 0*(3 + (-20)/6). Factor 0*p - 3*p + 1 + 0 + i*p**h - p**3 + 3*p**2.
-(p - 1)**3
Let t = 24 + -13. Find j, given that 12*j**2 + 11 - t - 3*j = 0.
0, 1/4
Suppose -20*m**4 + 5/2*m**5 + 50*m**3 + 0*m + 0 - 40*m**2 = 0. What is m?
0, 2, 4
Let m(l) be the second derivative of -7/2*l**2 + 0 - 4/3*l**3 - 17/3*l**4 - 11*l - 289/30*l**5. Let a(s) be the first derivative of m(s). Factor a(t).
-2*(17*t + 2)**2
Let b be (-4)/38 + 1430/950. Determine j, given that -j**2 + b*j + 1/5*j**3 - 3/5 = 0.
1, 3
Let i(q) = -q**3 - 5*q**2 + 4*q - 10. Let g be i(-6). Let k be g/70*2*(-205)/(-41). Find b, given that -k*b**4 + 0 - 2/7*b**2 - 4/7*b**3 + 0*b =