be the first derivative of 2/3*d**6 - 4*d**3 - d**4 + 11 + 12/5*d**5 + 0*d**2 + 0*d. Let h(l) = 0. What is l?
-3, -1, 0, 1
Suppose 4*u + f = -4 + 24, -5*u + 4*f + 46 = 0. Suppose 2*j - 5 = 5*c, 8*c = -3*j + 5*c + 60. Factor 4*g**4 + u - g**4 - j*g**2 + 3*g**3 - 3*g + 6*g**4.
3*(g - 1)*(g + 1)**2*(3*g - 2)
Let g = -4030 + 4030. Find x such that 0 - 4/5*x**5 - 1/5*x**3 + 0*x**2 - x**4 + g*x = 0.
-1, -1/4, 0
Suppose 35 = -2*v + 39. Let z(x) = 5*x - 8. Let w be z(v). Determine m so that 44/3*m**w + 4/3 - 10*m - 16*m**4 + 8/3*m**3 + 22/3*m**5 = 0.
-1, 2/11, 1
Let k be (-6)/(-5)*25/15. Let f(c) be the third derivative of -3*c**k + 1/24*c**4 - 1/120*c**5 - 1/12*c**3 + 0 + 0*c. Find l such that f(l) = 0.
1
Factor 1/3*l**5 + 0 + 5/3*l**4 + 0*l - 8/3*l**2 + 2/3*l**3.
l**2*(l - 1)*(l + 2)*(l + 4)/3
Let l(i) be the second derivative of -i**7/210 + i**6/90 + i**5/30 - i**4/6 - 5*i**3/2 - 11*i. Let q(m) be the second derivative of l(m). Solve q(u) = 0 for u.
-1, 1
Let b(m) be the second derivative of -m**4/12 + 62*m**3/27 + 14*m**2/9 - 228*m. Factor b(p).
-(p - 14)*(9*p + 2)/9
Let n(p) = 16*p**2 + 216*p + 1303. Let b(m) = 11*m**2 + 144*m + 869. Let z(r) = -7*b(r) + 5*n(r). Factor z(j).
3*(j + 12)**2
Factor 11 - 67/3*v + 35/3*v**2 - 1/3*v**3.
-(v - 33)*(v - 1)**2/3
Let a(n) be the first derivative of n**4/54 - n**3/9 - 17*n + 1. Let j(f) be the first derivative of a(f). Factor j(z).
2*z*(z - 3)/9
Let y(g) be the first derivative of -9*g**5 - 5*g**4/2 - 280. Solve y(r) = 0.
-2/9, 0
Let y(j) be the second derivative of -5*j**4/24 + 25*j**3/6 - 30*j**2 - 101*j + 1. Let y(q) = 0. What is q?
4, 6
Let o = 15 + -11. Solve 60*a**2 + 20*a - 23*a**3 - 22*a**3 - 29*a**4 - 6*a**o = 0.
-2, -2/7, 0, 1
What is z in -7 + 21*z - 13*z**4 + 26*z**5 - 5*z**5 + z**4 - 42*z**3 + 12*z**2 + 6*z**4 + 1 = 0?
-1, 2/7, 1
Let o(a) be the third derivative of a**5/240 - 7*a**4/48 + 5*a**3/3 + 4*a**2 - 15. Factor o(j).
(j - 10)*(j - 4)/4
Suppose 2 - 96*w**2 + 118 - 48*w + 72 + 24*w**3 + 12*w**4 - 3*w**5 = 0. What is w?
-2, 2, 4
Suppose -2*o + z - 24 - 165 = 0, -5*o = 5*z + 495. Let w be o/30 - -3 - (-21)/55. Factor 16/11 - w*q**3 - 24/11*q + 12/11*q**2.
-2*(q - 2)**3/11
Let u(n) be the third derivative of n**6/150 - 31*n**5/75 + 751*n**2. Factor u(t).
4*t**2*(t - 31)/5
Suppose -102 - 2 = -26*x. Let q(s) be the third derivative of 5*s**2 + 0*s**3 + 1/780*s**6 + 0*s - 1/78*s**x + 0 + 1/390*s**5. Solve q(z) = 0 for z.
-2, 0, 1
Let i(p) be the second derivative of 1/4*p**4 - 12*p - 11/2*p**2 + 0*p**3 - 1/30*p**5 + 0. Let c(v) be the first derivative of i(v). Factor c(o).
-2*o*(o - 3)
Let x(v) be the second derivative of -v**7/4620 + v**6/330 - 5*v**4/6 - 40*v. Let m(t) be the third derivative of x(t). Factor m(a).
-6*a*(a - 4)/11
Let a(j) be the first derivative of -4*j**3/3 + 47*j**2/2 + 12*j + 205. Let a(g) = 0. Calculate g.
-1/4, 12
Let z = -87 + 785/9. Let g = -2/15795 - -3512/15795. Let 0 - z*v**2 - g*v = 0. Calculate v.
-1, 0
Let s be (-51)/9 + ((-483)/(-23) - 15). Let 0*v + 1/9*v**2 - s*v**3 + 0 + 1/3*v**4 - 1/9*v**5 = 0. Calculate v.
0, 1
Let g(d) be the third derivative of -5*d**8/336 + 2*d**7/21 - d**6/24 - d**5/2 - d**2 + 19*d. Let g(k) = 0. What is k?
-1, 0, 2, 3
Let c(z) = z**3 - z**2 - 2*z + 1. Let o(y) = -y**3 - 19*y**2 + 28*y + 30. Let v(k) = -2*c(k) + o(k). What is t in v(t) = 0?
-7, -2/3, 2
Let o(f) = f**2 + 20*f + 2. Suppose -15*u = -136 + 436. Let j be o(u). Determine i so that -3/7 - 3/7*i + 3/7*i**3 + 3/7*i**j = 0.
-1, 1
Let m(y) be the first derivative of -y**5 + y**4/2 + y**3/3 - 6*y - 28. Let i(u) = -4*u**4 + 2*u**3 + u**2 - 5. Let k(q) = 6*i(q) - 5*m(q). Factor k(f).
f**2*(f + 1)**2
Suppose 0*s = -7*s + 21. Suppose i + s*v - 14 = 7*v, 4*i - 3*v = 17. What is l in -1/4*l**i - l - 1 = 0?
-2
Let c(m) be the first derivative of 2*m**5/75 - 17*m**4/30 + 2*m**3 - 43*m**2/15 + 28*m/15 - 415. Factor c(k).
2*(k - 14)*(k - 1)**3/15
Let k(s) be the first derivative of -7/20*s**4 + 16/15*s**3 - 11/10*s**2 + 2/5*s + 2. Let k(i) = 0. What is i?
2/7, 1
Suppose g = 0, 2*l = -2*g + 15 + 13. Let o be (13 - l)/((-1)/7). Factor -4*n**3 + o*n**3 + n + n - 5*n.
3*n*(n - 1)*(n + 1)
Let n(y) = y**2 - 61*y + 333. Let t be n(6). Find v, given that -v**4 - 7/3*v**t - 1/3 - 8/3*v**2 - 1/6*v**5 - 3/2*v = 0.
-2, -1
Let n = 293 - 288. Let d be -6 + 72/n + -2. Let 4/5*u**4 - 24/5*u**3 + 24/5*u + d*u**2 - 36/5 = 0. What is u?
-1, 1, 3
Let a(h) be the first derivative of 5/3*h**3 - 7/2*h**2 + 4 - 2*h + h**4. Factor a(r).
(r - 1)*(r + 2)*(4*r + 1)
Let h(j) be the second derivative of -j**4/6 + 11*j**3/5 + 14*j**2/5 - 27*j. Find v, given that h(v) = 0.
-2/5, 7
Let v = 793 - 790. Factor -4/11*k + 2/11*k**v - 2/11*k**2 + 0.
2*k*(k - 2)*(k + 1)/11
Let 0*c + 8/15*c**2 + 0 + 8/15*c**3 - 2/15*c**5 - 2/15*c**4 = 0. What is c?
-2, -1, 0, 2
Let q(g) be the third derivative of -g**8/112 - 12*g**7/35 - 53*g**6/10 - 413*g**5/10 - 1323*g**4/8 - 343*g**3 - 2*g**2 + 3*g. Solve q(b) = 0 for b.
-7, -2, -1
Let c(z) = 2*z - 3. Let b be ((-21)/28)/(1/(-8)). Let q be c(b). Factor -2 + 0 - 10 + q*m + 3*m**2.
3*(m - 1)*(m + 4)
Let w(y) be the first derivative of -y**4/4 + 2*y**3 + y**2/2 - 6*y - 29. Factor w(m).
-(m - 6)*(m - 1)*(m + 1)
Factor 35/2*s**2 + 60 + 215*s.
5*(s + 12)*(7*s + 2)/2
Let f = 724/1077 - 2/359. Determine j, given that -2/3*j**2 + 4/9*j + 0 + f*j**4 - 2/9*j**3 - 2/9*j**5 = 0.
-1, 0, 1, 2
Let d(x) = -110*x**4 - 39*x**3 + 63*x**2 - 3*x + 5. Let z(m) = 54*m**4 + 19*m**3 - 31*m**2 + m - 3. Let p(s) = -6*d(s) - 10*z(s). What is n in p(n) = 0?
-1, 0, 2/15, 1/2
Let j(v) be the first derivative of 1/5*v**5 - 5 + 1/4*v**4 - 5/3*v**3 + 3/2*v**2 + 0*v. Factor j(q).
q*(q - 1)**2*(q + 3)
Let o(d) be the second derivative of 0 + 6/5*d**5 + 0*d**3 + 1/15*d**6 + 0*d**2 + 8*d + 6*d**4. What is i in o(i) = 0?
-6, 0
Let w(i) be the first derivative of -5*i**4/7 - 76*i**3/21 - 46*i**2/7 - 36*i/7 + 153. Factor w(t).
-4*(t + 1)**2*(5*t + 9)/7
Let u(p) be the second derivative of -p**7/105 - 4*p**6/75 + 21*p**5/50 + 52*p**4/15 + 16*p**3/3 + 1049*p. Find c such that u(c) = 0.
-4, -1, 0, 5
Let f(a) = 9*a**2 + 10*a - 10. Let t(x) = -90*x**2 - 99*x + 99. Let v = -8 - -10. Let k(o) = v*t(o) + 21*f(o). Determine b so that k(b) = 0.
-2, 2/3
Let q(j) be the first derivative of -9 + 0*j + 3/10*j**2 - 2/5*j**3 + 3/20*j**4. Factor q(w).
3*w*(w - 1)**2/5
Suppose y = -5*y. Suppose 3*d - 10*d + 1029 = y. Find v, given that 147*v + 0 + v**2 - d*v - 1 = 0.
-1, 1
Find o such that 15*o**2 + 9*o**2 + 10*o**2 + 3*o**3 - 43*o**2 + 5*o + o**4 = 0.
-5, 0, 1
Find v such that -26*v**2 - 6*v**4 - 96*v + 72*v**3 - 24*v**2 + 66*v**2 + 4*v**5 - 30*v**4 = 0.
-1, 0, 2, 6
Factor -512 + 18*i - 14*i - 2*i**2 + 29*i + 31*i.
-2*(i - 16)**2
Let w(y) = -y**5 + y**3 + y**2 - y. Suppose 5*c - 6 = 4. Let u(a) = -24*a**5 + 24*a**3 + 22*a**2 - 22*a. Let r(i) = c*u(i) - 44*w(i). Let r(d) = 0. What is d?
-1, 0, 1
Let z be -5 + (78/20)/(87/116). Let z*m**2 + 5 - 2*m = 0. What is m?
5
Let o(b) be the second derivative of -b**7/210 + b**5/20 + b**4/12 - 5*b**2/2 + 8*b. Let l(z) be the first derivative of o(z). Find a such that l(a) = 0.
-1, 0, 2
Let k = -482121/4 - -119761. Let w = k - -773. Factor w*m - 33/4*m**2 - 1/2 - 9/4*m**4 + 29/4*m**3.
-(m - 1)**3*(9*m - 2)/4
Let c = -16 + 19. Factor j**2 + 5 - 4*j**2 + c*j + 13.
-3*(j - 3)*(j + 2)
Find u, given that 2 - 26*u**2 - 2 + 23*u**2 + 4*u**3 - u**2 = 0.
0, 1
Let n = -1266 + 1269. Let c(k) be the second derivative of 1/10*k**5 - k**n + 0*k**4 + 0 + 2*k**2 + 2*k. Factor c(l).
2*(l - 1)**2*(l + 2)
Let o = -424/455 - -38/35. Let v(d) be the first derivative of -6/13*d + 10/13*d**2 - o*d**3 - 8. Determine c so that v(c) = 0.
1/3, 3
Find u, given that -37*u**2 + 155 - 46 + 275 + 188*u + 35*u**2 = 0.
-2, 96
Factor 114*z + 230*z - 12168 + 24*z - 2*z**2 - 56*z.
-2*(z - 78)**2
Suppose 183*f = 185*f - 300. Determine k, given that f*k + 138*k + 12*k**4 - 32*k**3 + 162 - 10*k**4 + 92*k**2 = 0.
-1, 9
Let u = 758 - 751. Let d(p) be the second derivative of 1/15*p**6 + 0*p**2 + 2/3*p**3 + 0*p**5 + 0 - 1/2*p**4 + u*p. Let d(x) = 0. Calculate x.
-2, 0, 1
Let f be 1*(-8 - (-116)/14). Factor -8/7*c + 16/7*c**2 + 0 + f*c**4 - 10/7*c**3.
2*c*(c - 2)**2*(c - 1)/7
Let x = -11899/56 + 1701/8. Let y = -46 - -323/7. Factor 0 - y*i + x*i**2.
i*(i 