/4*t**4 + 0*t**o - 1/4 + 1/2*t**2 + j*t = 0.
-1, 1
Factor -34*j**2 + 40 + 40*j + 39*j**2 + 40.
5*(j + 4)**2
What is l in -530*l - 452*l - 12*l**2 + 1054*l - 4*l**3 = 0?
-6, 0, 3
Let g be (24/18)/((-8)/(-36)). Determine x so that 8*x**4 + 3*x**3 - 33*x**5 - g*x**2 - 2*x**4 + 30*x**5 = 0.
-1, 0, 1, 2
Let q(a) be the third derivative of -1/315*a**7 - 2/15*a**5 + 10 - 1/30*a**6 + 0*a**3 + a**2 + 0*a - 2/9*a**4. Factor q(t).
-2*t*(t + 2)**3/3
Find q such that 2/9*q + 14/9*q**2 - 14/9 - 2/9*q**3 = 0.
-1, 1, 7
Let g be (5/(6 + -21))/(-5). Let f(u) be the first derivative of -1/5*u**2 - 4/15*u**3 + 0*u + g*u**6 + 4/25*u**5 - 1 + 0*u**4. Factor f(v).
2*v*(v - 1)*(v + 1)**3/5
Let p be (-1)/(-9) - (-930)/135. Let -22*t**2 + p*t + 14*t**2 + 9*t**2 + 6 = 0. Calculate t.
-6, -1
Let k(v) be the third derivative of v**5/30 + 14*v**4/3 + 784*v**3/3 + 80*v**2. Factor k(f).
2*(f + 28)**2
Let q(k) be the first derivative of 0*k + 3/2*k**3 + 4 + 1/4*k**4 - 9/2*k**2 - 1/20*k**5. Let c(f) be the second derivative of q(f). Factor c(t).
-3*(t - 3)*(t + 1)
Let z(f) be the third derivative of -f**8/8960 + f**6/320 - f**5/80 + 5*f**4/24 - 3*f**2. Let m(w) be the second derivative of z(w). Find q such that m(q) = 0.
-2, 1
Let k = 143 - 145. Let y be (k/(-6) - -1)*3. Let 4/9*r**2 - 2/9*r**5 - 8/9*r**3 + 4/9 + 10/9*r - 8/9*r**y = 0. Calculate r.
-2, -1, 1
Let o(m) be the second derivative of -21*m - 1/3*m**4 + 2/15*m**6 + 0*m**2 + 1/6*m**3 + 3/80*m**5 - 1/24*m**7 + 0. Find w such that o(w) = 0.
-1, 0, 2/7, 1, 2
Let z = 38 + -30. Find g such that 4*g**3 - 3*g**3 - 3*g**3 + 6*g**2 + 2*g**4 - z*g - 8 + 10*g**3 = 0.
-2, -1, 1
Suppose -3*z + 0*z - 6 = 0. Let s be 34*(1 - z/(-4)). Solve -3*t**3 + 47*t**3 + 7*t**4 - 4 - 12*t - 5*t**2 + s*t**4 + 17*t**2 = 0 for t.
-1, -1/3, 1/2
Determine u, given that 0 - 51/2*u**2 - 2*u = 0.
-4/51, 0
Let d(a) be the first derivative of -4*a**5/5 + 32*a**4 - 872*a**3/3 - 1360*a**2 + 3468*a + 382. Suppose d(v) = 0. What is v?
-3, 1, 17
Let r(n) = 7*n**2 + 12*n - 15. Let l(u) = -12*u**2 - 18*u + 22. Let k(a) = 5*l(a) + 7*r(a). Find j such that k(j) = 0.
-1, 5/11
Let v = -29 - -42. Suppose 4*k**5 - v*k**4 + 12*k + 3*k**3 - 18*k + 6*k = 0. Calculate k.
0, 1/4, 3
Let a(u) be the first derivative of 7*u**4/22 + 64*u**3/33 + 16*u**2/11 + 168. Factor a(t).
2*t*(t + 4)*(7*t + 4)/11
Let w = 207/235 + -32/47. Let 12/5*i + 2/5*i**2 - 4/5*i**3 - 9/5 - w*i**4 = 0. What is i?
-3, 1
Let z(p) be the third derivative of p**8/1008 + p**7/315 - p**6/90 - 2*p**5/45 - 40*p**2. Find k such that z(k) = 0.
-2, 0, 2
Let r(v) = 5*v**2 + 67*v + 56. Let z(q) = -20*q**2 - 270*q - 225. Let k(i) = -25*r(i) - 6*z(i). Factor k(o).
-5*(o + 1)*(o + 10)
Let l(f) be the first derivative of 0*f**2 - 5 - 1/9*f**3 + 4/3*f. Determine w, given that l(w) = 0.
-2, 2
Let x(b) = -12*b**2 - 12*b + 4*b**3 + 4*b**4 + b - 3*b + 2*b. Let f(h) = -h - h + 3*h + 12*h**2 - 11*h**2. Let d(w) = -8*f(w) - x(w). Factor d(u).
-4*u*(u - 1)*(u + 1)**2
Let k(j) be the third derivative of -j**6/40 + 3*j**5/20 + 5*j**4/4 + 81*j**2. Let k(w) = 0. Calculate w.
-2, 0, 5
Let n(f) be the second derivative of 5/4*f**2 + 1/16*f**5 + 0*f**4 + 0 - 5/8*f**3 + 12*f. Find j, given that n(j) = 0.
-2, 1
Let t(k) be the third derivative of -k**8/60480 - k**7/15120 + k**6/360 + k**5/12 + k**2. Let p(d) be the third derivative of t(d). Factor p(a).
-(a - 2)*(a + 3)/3
Solve -67*c - 38*c + 5*c + 180 + 5*c**2 = 0 for c.
2, 18
Let i be 7 - 96/14 - (-3 + (-88)/(-28)). Determine d so that 0*d - 1/4*d**2 + 1/4*d**3 + i = 0.
0, 1
Factor 3879*k**2 - 743*k**2 - 636*k**4 - 2426*k**3 + 25*k**5 + 4890*k**3 + 11*k**5.
4*k**2*(k + 1)*(3*k - 28)**2
Let w be (-14)/(-3)*28 + (-152)/(-228). Let n = -130 + w. Let 0 - n*d - 2/3*d**2 + 2/3*d**3 = 0. Calculate d.
-1, 0, 2
Let g(u) = 70*u**4 + 142*u**3 + 8*u**2 - 90*u + 26. Let s(f) = -8*f**4 - 16*f**3 - f**2 + 10*f - 3. Let m(a) = 6*g(a) + 52*s(a). Factor m(q).
4*q*(q - 1)*(q + 1)*(q + 5)
Let p(m) be the third derivative of 5*m**8/336 - 2*m**7/21 + m**6/24 + m**5/2 + 30*m**2. Factor p(r).
5*r**2*(r - 3)*(r - 2)*(r + 1)
Let d be ((-31)/((-620)/(-12)))/(54/(-20)). Suppose i + 1 = 3. Factor 2/3*r**i + 4/9*r + 0 + d*r**3.
2*r*(r + 1)*(r + 2)/9
Let p(i) be the first derivative of -5/3*i**3 + 25 + 5/2*i**2 + 0*i. Suppose p(x) = 0. What is x?
0, 1
Let b be 9/35 + (-10)/35. Let k = b - -73/105. What is v in 1/3*v**5 + 4/3*v**2 - k*v**4 - v**3 + 0 + 4/3*v = 0?
-1, 0, 2
Suppose -10*g = -5*g + 4*u - 345, 5*u - 121 = -2*g. Find t, given that -12*t**2 - 38*t**3 + 16*t + g*t**3 - 39*t**3 = 0.
-4, 0, 1
Determine b, given that 8360*b**2 + 114*b + 8*b**5 + 8*b**5 + 947*b + 5584*b**3 + 572*b**4 - 1156 + 1115*b = 0.
-17, -1, 1/4
Suppose m = -w + 3, 8*m = -7 - 1. Find h, given that 20/9*h**w - 4/3 - 28/9*h - 8/9*h**2 + 4/9*h**5 + 8/3*h**3 = 0.
-3, -1, 1
Let v = -1935 + 21287/11. Factor 4/11*l - 2/11 - v*l**2.
-2*(l - 1)**2/11
Solve 0 + 0*k - 1/6*k**3 - 3*k**2 = 0 for k.
-18, 0
Let s(y) be the third derivative of -y**7/3780 - y**6/540 + y**5/60 + 11*y**4/24 + 8*y**2. Let t(j) be the second derivative of s(j). Factor t(q).
-2*(q - 1)*(q + 3)/3
Let r(f) = -f**2 - 8*f - 5. Let u be r(-7). Let m be u/4 + 3/2. Factor 10*n**2 + 5*n**2 + 0 + 6*n - 9*n**m + 2 + 2*n**3.
2*(n + 1)**3
Let q(z) be the second derivative of z**5/60 + z**4/3 + 10*z**3/9 - z - 151. Find c such that q(c) = 0.
-10, -2, 0
Let j(b) be the third derivative of -b**8/4032 + b**7/504 - b**5/6 + 22*b**2. Let i(q) be the third derivative of j(q). Factor i(k).
-5*k*(k - 2)
Let a(n) be the second derivative of -n**10/50400 + n**8/11200 + 13*n**4/4 - 3*n. Let w(z) be the third derivative of a(z). Factor w(q).
-3*q**3*(q - 1)*(q + 1)/5
Let m be ((-11)/154)/(-1) - 27/(-14). Factor 2/3*y**3 + 0*y + 0 + 2/9*y**5 - 2/9*y**m - 2/3*y**4.
2*y**2*(y - 1)**3/9
Let j(z) be the third derivative of -z**5/210 + 92*z**4/21 - 33856*z**3/21 - 6*z**2 - 2. Find b such that j(b) = 0.
184
Let z(w) be the third derivative of -4*w**6/45 + 4*w**5/15 + 5*w**4/12 - 25*w**3/9 - 48*w**2 - 2. Factor z(k).
-2*(k + 1)*(4*k - 5)**2/3
Let x(d) = d + 1. Let a(g) = -2*g - 2. Let s(y) = 2*a(y) + 5*x(y). Let p(t) = -5*t**2 + 64*t - 71. Let f(l) = -p(l) - 6*s(l). Factor f(c).
5*(c - 13)*(c - 1)
Determine z, given that -267*z**2 - 39 + 129*z**3 + 15 + 72*z**4 - 5*z - 12*z**5 - 60 - 319*z = 0.
-2, -1/2, 2, 7
Suppose -2*s + 4*s = -9*s. Let b(f) be the third derivative of -f**2 + s*f + 0 + 1/120*f**5 + 1/12*f**4 + 1/3*f**3. Factor b(v).
(v + 2)**2/2
Let d(p) be the second derivative of -p**6/180 + p**5/120 + 2*p**4/9 - 4*p**3/9 - 3*p + 15. Solve d(t) = 0.
-4, 0, 1, 4
Let c(p) = 30*p**3 + 34*p**2 - 44*p + 22. Let m(z) = 4*z**3 + 5*z**2 - 6*z + 3. Let r(i) = -6*c(i) + 44*m(i). Suppose r(g) = 0. Calculate g.
0, 4
Let o(n) = 4*n**5 - 11*n**4 + 10*n**3 - 3*n**2 + 6*n - 6. Let k(c) = 8*c**5 - 22*c**4 + 20*c**3 - 6*c**2 + 11*c - 11. Let s(l) = -6*k(l) + 11*o(l). Factor s(x).
-x**2*(x - 1)**2*(4*x - 3)
Find z such that -69*z**3 + 4761*z**2 + 1679046 - 146004*z + 3/8*z**4 = 0.
46
Let p(u) be the second derivative of -u**5/10 - 13*u**4/6 - 23*u**3/3 - 11*u**2 - 2*u - 57. Factor p(c).
-2*(c + 1)**2*(c + 11)
Let u(o) = 2*o**3 + 20*o**2 - 22*o + 9. Let f be u(-11). Determine y, given that 17*y**3 + f*y**2 + 15*y**4 + 10*y**3 - 82*y + 79*y = 0.
-1, 0, 1/5
Let u(b) = b - 8. Let c be u(11). Factor 2*s + 3*s**3 + 9*s**3 - 13*s**3 - c*s**4 + 3*s**2 - s**5.
-s*(s - 1)*(s + 1)**2*(s + 2)
Suppose 238*i**2 + 43*i - 6*i**4 + 709*i + 224 - 6*i**3 + 0*i**3 - 2*i**3 = 0. What is i?
-4, -1/3, 7
Let y(f) be the third derivative of -7/132*f**4 + 0 + 2/33*f**3 + 0*f + 1/110*f**5 + 2*f**2. Suppose y(i) = 0. What is i?
1/3, 2
Let l(u) be the second derivative of 7*u**6/40 - 69*u**5/80 - 53*u**4/8 - 13*u**3/2 + 9*u**2 + 3*u - 19. Let l(p) = 0. What is p?
-2, -1, 2/7, 6
Let n = 42 + -37. Let 25*y**3 - 13*y - 45*y**2 + 48*y + 49 - n*y**4 - 59 = 0. Calculate y.
1, 2
Let h(j) be the first derivative of -j**6/360 + j**5/60 - j**4/36 + 5*j**2 + 14. Let a(o) be the second derivative of h(o). Determine l so that a(l) = 0.
0, 1, 2
Let n(i) = 4*i**2 + 8*i - 7. Suppose 30 = 7*c - c. Let w(h) = -6*h**2 - 12*h + 11. Let f(u) = c*w(u) + 7*n(u). Factor f(m).
-2*(m - 1)*(m + 3)
Suppose 39*o**4 - 14580 + 150*o**3 + 4731*o - 585*o**2 - 6315*o + 34*o**4 -