) = -2*t**2 + 13. Let r be y(0). Suppose -r + 33 = 4*u. Let 0*q**4 + 0 - 6/5*q**3 + 0*q - 4/5*q**2 + 2/5*q**u = 0. What is q?
-1, 0, 2
Let r(j) be the second derivative of j**4/84 - j**3/2 - 23*j**2/7 + 400*j. Factor r(w).
(w - 23)*(w + 2)/7
Suppose -v + 2*t = 26, -4*t - 8 = v - 0*t. Let n be (-6)/4*v/15. Determine g, given that -23*g**n + 4*g**3 + 39*g**2 + 20*g + 8 + 0*g**3 + 0*g**3 = 0.
-2, -1
Let g(f) = -f**3 + 38*f**2 + 9*f - 340. Let y be g(38). Factor 8/5*d**2 - y*d**3 + 4/5*d**4 - 2/5*d + 0.
2*d*(d - 1)**2*(2*d - 1)/5
Let u(i) = -9 + 1 + 10*i**2 - 1 - 15*i - i**3 + 4. Let a be u(8). Let 105/4*b**2 - 3 - a*b = 0. Calculate b.
-2/7, 2/5
Let u(f) be the first derivative of 3*f**4/8 - 17*f**3/3 + 21*f**2 + 36*f + 69. Suppose u(o) = 0. Calculate o.
-2/3, 6
Let b(x) be the third derivative of 1/2*x**3 + 1/8*x**4 + 0 - 1/20*x**6 + 1/112*x**8 - 4*x**2 - 1/10*x**5 + 1/70*x**7 + 0*x. Factor b(l).
3*(l - 1)**2*(l + 1)**3
Let o(d) be the second derivative of -d**4/12 - 18*d**3 - 1458*d**2 - 115*d. What is k in o(k) = 0?
-54
Suppose u + 1 = 0, 2 = f - 2*u + 3*u. Let -7 + 6*r**2 - 2*r**f - 9 + 16 = 0. What is r?
0, 3
Let h(g) be the first derivative of g**6/180 - g**4/3 - 10*g**3/3 - 8. Let u(w) be the third derivative of h(w). Suppose u(j) = 0. Calculate j.
-2, 2
Let -109*k + 14*k**2 + 8*k + 16 + 73*k - 2*k**3 = 0. What is k?
1, 2, 4
Factor 48/7 - 4/7*w - 4/7*w**2.
-4*(w - 3)*(w + 4)/7
Let r(z) = -3*z**4 + 17*z**3 - 18*z**2 - 4. Let c(l) = -7*l**4 + 37*l**3 - 36*l**2 - 10. Let w(p) = -2*c(p) + 5*r(p). Factor w(n).
-n**2*(n - 9)*(n - 2)
Let 0*x**2 - 3/4*x**3 + x + 0 + 1/4*x**4 = 0. What is x?
-1, 0, 2
What is y in 11*y**3 - 32*y**5 + 12*y**4 - 14*y**2 - 2*y**3 - 12*y + 2*y**2 + 35*y**5 = 0?
-2, -1, 0, 1
Let n(i) be the first derivative of -i**6/18 + i**5/15 + 5*i**4/12 + i**3/3 - 139. Solve n(p) = 0 for p.
-1, 0, 3
Suppose -9*l + 351 = 324. Let t(s) be the second derivative of -1/3*s**l - 1/30*s**6 + 0 + 4*s + 1/12*s**4 + 0*s**2 + 1/10*s**5. Find p, given that t(p) = 0.
-1, 0, 1, 2
Let r = -10 + 6. Let f be (15/(-12))/(r/16). Factor 2*u - f*u**3 + 0*u**3 + 8*u - 5*u**2.
-5*u*(u - 1)*(u + 2)
Let f be 2/4*(-28 + 29). Factor -2/3*u**2 - 1/6*u**3 + 0 - f*u.
-u*(u + 1)*(u + 3)/6
Let k = -771 + 1210. Let 2*g**2 + 2*g**5 - 2*g**3 - 2*g**4 + 439*g - k*g = 0. What is g?
-1, 0, 1
Let w be ((-1515)/(-9) - 5)/(3702/10). Let k = w - -2/617. Factor -2/3*t**3 + 0 + k*t**2 + 2/9*t.
-2*t*(t - 1)*(3*t + 1)/9
Let d be (4/(-5))/(2/10). Let t be 8/(d/1) + 4. Solve 12*x - 75*x**4 + 28*x**t - 23*x**2 - 44*x**2 - 33*x**2 + 135*x**3 = 0 for x.
0, 2/5, 1
Let d be (4*1)/(2914/(-31)). Let q = 84/235 - d. Factor 4/5*p**2 + 7/5*p - q.
(p + 2)*(4*p - 1)/5
Suppose 2*k + 0*k = -8, 0 = 2*a + 2*k. Suppose 9*y = -2*y + 22. Factor -6*c**3 + 2*c**2 - 3*c**4 + 12*c**a + 6*c - 14*c**y + 3.
3*(c - 1)**2*(c + 1)*(3*c + 1)
Let r(u) be the third derivative of 1/1260*u**7 + 0*u + 0*u**6 + 0 - 1/180*u**5 + 0*u**4 + 1/36*u**3 + 6*u**2. Factor r(s).
(s - 1)**2*(s + 1)**2/6
Let d(h) be the second derivative of h**6/75 - 17*h**5/50 + 22*h**4/15 - 28*h**3/15 - 16*h + 16. Find a such that d(a) = 0.
0, 1, 2, 14
Let m(n) be the third derivative of -n**5/15 + 6*n**3 + 186*n**2. Factor m(t).
-4*(t - 3)*(t + 3)
Let i(k) = 2*k + 18. Let m be i(-9). Let x(q) be the third derivative of 0 + 1/192*q**4 + 1/480*q**5 + 5*q**2 - 1/24*q**3 + m*q. Factor x(f).
(f - 1)*(f + 2)/8
Let h(v) = -v**2 - v + 1. Let l(x) be the first derivative of -x**3/3 + 5*x + 10. Let j(r) = -20*h(r) + 5*l(r). Suppose j(p) = 0. What is p?
-1, -1/3
Factor -40/3*w**3 + 0*w - 14*w**2 + 2/3*w**4 + 0.
2*w**2*(w - 21)*(w + 1)/3
Let l(f) be the first derivative of 2*f**3/5 - 27*f**2/10 - 54*f/5 + 90. Determine q, given that l(q) = 0.
-3/2, 6
Let g be (6/10 - (-4)/10)*2. Let z be (1 + g/(-4))/(4/16). Factor 1/2*j**z + 0 + 1/2*j.
j*(j + 1)/2
Let a(z) = z**2 - 13*z + 3. Let q be a(5). Let l = 40 + q. Determine v, given that 2/3*v**4 + 0 - 2/3*v**l - 2/3*v**2 + 2/3*v**5 + 0*v = 0.
-1, 0, 1
Let l(y) be the first derivative of 2*y**5/35 - 4*y**4/7 + 2*y**3 - 22*y**2/7 + 16*y/7 - 127. Factor l(q).
2*(q - 4)*(q - 2)*(q - 1)**2/7
Suppose 2*o = 4*n + 1244, 0*o = -o + 4*n + 614. Factor -258*y**3 - 42*y**3 - 245*y**5 - o*y**4 + 1 - 40*y**2 - 1.
-5*y**2*(y + 2)*(7*y + 2)**2
Let b be (7/(-42)*-6)/(135/9). Let c(x) be the first derivative of 1/5*x + 1/20*x**4 - b*x**3 + 11 - 1/10*x**2. Solve c(r) = 0.
-1, 1
Let i(v) be the first derivative of -v**6/15 + 18*v**5/25 - 7*v**4/10 - 62*v**3/5 + 16*v**2 + 120*v + 16. Find g, given that i(g) = 0.
-2, 3, 5
Suppose 2*z - 7 = -3. Let 6*b + b**2 + 0*b**2 + 2*b**z = 0. Calculate b.
-2, 0
Let d be (49/12)/(-7) + (-24)/(-24). Let w(k) be the second derivative of -5/3*k**3 + d*k**4 + 0 - 10*k + 0*k**2. Solve w(g) = 0 for g.
0, 2
Let l be 5776/24*1/(-2) + 0. Let w = -119 - l. Determine n, given that w*n + 0 - 4/3*n**2 = 0.
0, 1
Let s(c) be the first derivative of c**3/3 + 7*c**2 + 15*c - 8. Let a be s(-13). Suppose 1/4*m + 0 - 1/4*m**a = 0. What is m?
0, 1
Let p(v) = 7*v**2 - 14*v + 27. Let x(t) = -26*t**2 + 56*t - 107. Let g(j) = -22*p(j) - 6*x(j). Factor g(q).
2*(q - 12)*(q - 2)
Let g(c) = -15*c**4 + 55*c**3 + 139*c**2 + 74*c - 23. Let p(u) = 7*u**4 - 28*u**3 - 69*u**2 - 38*u + 12. Let s(x) = -4*g(x) - 7*p(x). Let s(i) = 0. Calculate i.
-1, 2/11, 4
Let g(n) = 2*n**2 + 42*n + 40. Let y(r) = 3*r**2 + 43*r + 40. Let c(s) = -7*g(s) + 6*y(s). Factor c(v).
4*(v - 10)*(v + 1)
Solve -1464/7*g**2 + 28*g**5 - 684/7*g - 108/7 - 1112/7*g**3 - 4*g**4 = 0 for g.
-1, -3/7, 3
Let s be (9 - (-266)/19) + -23. Determine o, given that s + 1/5*o + 1/5*o**2 = 0.
-1, 0
Solve 6/7*p**5 + 6*p**2 + 30/7*p**4 + 0 + 54/7*p**3 + 12/7*p = 0.
-2, -1, 0
Let v(l) = -49*l**3 - 162*l**2 - 129*l - 9. Let h(i) = 24*i**3 + 80*i**2 + 64*i + 4. Let k(m) = 7*h(m) + 4*v(m). Find x, given that k(x) = 0.
-2, -1, -1/7
Let g(j) = 8*j + 1. Let u be g(1). Factor u*a**2 - 5 + 0 + 29*a - 7 - 5*a - 27*a**3.
-3*(a + 1)*(3*a - 2)**2
Let y(b) be the first derivative of 4*b**5/25 + 6*b**4/5 - 208*b**3/15 + 84*b**2/5 + 396*b/5 + 193. Let y(j) = 0. Calculate j.
-11, -1, 3
Solve 625*t - 25*t**2 + 1/3*t**3 - 15625/3 = 0 for t.
25
Let o(w) = -2*w**4 + 20*w**3 - 70*w**2 - 32*w + 72. Let p(g) be the first derivative of -g**4/4 - g**2 - 37. Let l(c) = o(c) - 4*p(c). Factor l(y).
-2*(y - 6)**2*(y - 1)*(y + 1)
Let l be (-93 - -84) + (0 - -12). Let p(v) be the first derivative of -5 - 3/10*v**2 + 0*v + 1/15*v**l. Find h such that p(h) = 0.
0, 3
Find q such that 0*q - 1/5*q**5 + 0 + 36/5*q**2 - 51/5*q**3 + 16/5*q**4 = 0.
0, 1, 3, 12
Let l(h) be the first derivative of -h**4/32 + h**3/8 - 9*h + 8. Let t(p) be the first derivative of l(p). Find w such that t(w) = 0.
0, 2
Let w(x) be the third derivative of x**6/30 + 7*x**5/20 + 5*x**4/24 - 75*x**2. Suppose w(n) = 0. Calculate n.
-5, -1/4, 0
Let x(g) be the first derivative of g**6/12 - 6*g**5/5 - g**4/4 + 4*g**3 + g**2/4 - 6*g + 632. What is a in x(a) = 0?
-1, 1, 12
Let u = -59 - -64. Solve -3*j + 6 + 5*j**3 + j + u*j - 8*j + j**4 - 7*j**2 = 0.
-6, -1, 1
Let b be (392/(-52) - -8)/(3/26). Let -13/2*o + 5/2*o**2 + b = 0. Calculate o.
1, 8/5
Let t = 22633/8 - 2829. What is a in 0*a + 0 + 0*a**2 + t*a**4 + 0*a**3 - 1/8*a**5 = 0?
0, 1
Let s(a) be the first derivative of -11*a**3 + 93*a**2/2 + 18*a + 143. Factor s(d).
-3*(d - 3)*(11*d + 2)
Factor 7 - 42*o**2 - 15*o**3 - 2*o**4 + 31*o**3 + 44*o - 23.
-2*(o - 4)*(o - 2)*(o - 1)**2
Let u(r) be the second derivative of -3*r**6/50 - 93*r**5/100 - 37*r**4/20 - 9*r**3/10 - 303*r + 1. Let u(g) = 0. Calculate g.
-9, -1, -1/3, 0
Let f be 9 - 15*(-92)/(-156). Let -f*r**2 + 16/13*r - 32/13 = 0. Calculate r.
4
Let v = 95/9 + -1897/180. Let l(z) be the third derivative of -v*z**6 + 0*z + 0 - 3*z**2 - 1/36*z**4 + 1/18*z**5 - 1/9*z**3. Let l(q) = 0. Calculate q.
-1/3, 1
Suppose -n - 6 = -22. Let z(g) = -g**4 + g**3 - g**2 - g - 1. Let y(q) = -20*q**4 + 48*q**3 - 104*q**2 + 80*q - 52. Let d(s) = n*z(s) - y(s). Factor d(k).
4*(k - 3)**2*(k - 1)**2
Let n = 129 - 131. Let z(i) = 5*i**4 - 8*i**3 - 45*i**2 - 55*i - 20. Let q(c) = 5*c**4 - 7*c**3 - 45*c**2 - 55*c - 20. Let r(g) = n*z(g) + 3*q(g). Factor r(j).
5*(j - 4)*(j + 1)**3
Let m(a) be the first derivative of 2*a**5/5 + 19*a**4/8 - 19*a**3/2 + 41*a**2/4 - 7*a