 + 98. Factor x(t).
-3*(t - 1)*(t + 10)
Suppose 27 = 3*c + 3*q, -c - 2*q = -0*c - 14. Let m be -4 + 1 - (-1 - c). Factor -6/5*v + 9/5 + 1/5*v**m.
(v - 3)**2/5
Factor -12*c**3 + 168*c + 530*c**2 - 12*c**3 - 1288*c + 160 - 41*c**3.
-5*(c - 4)**2*(13*c - 2)
Find j, given that 1258/5*j**2 + 174/5*j**4 - 2*j**5 - 784/5 - 938/5*j**3 + 1596/5*j = 0.
-1, 2/5, 4, 7
Let t(x) be the first derivative of 1/2*x**4 - 1/6*x + 2/3*x**2 - 4 - 19/18*x**3. Factor t(j).
(j - 1)*(3*j - 1)*(4*j - 1)/6
Let f(m) be the third derivative of 5*m**8/168 - m**7/14 + m**5/12 + 25*m**2 - m. Suppose f(k) = 0. What is k?
-1/2, 0, 1
Let x be (-5 - 32/(-8))*-2. Determine b so that -1 - 4/5*b**3 - 3*b**x + 24/5*b = 0.
-5, 1/4, 1
Let k(a) be the second derivative of a**5/50 + 17*a**4/30 + 56*a**3/15 + 52*a**2/5 - 14*a - 5. Factor k(r).
2*(r + 2)**2*(r + 13)/5
Let l(d) = -122*d - 50. Let h(x) = -x**2 + x + 2. Let t(j) = 12*h(j) + 2*l(j). Solve t(a) = 0 for a.
-19, -1/3
Let h(l) be the second derivative of -l**5/105 + 5*l**4/84 - 2*l**3/21 - 7*l**2/2 + 3*l. Let q(t) be the first derivative of h(t). Factor q(x).
-2*(x - 2)*(2*x - 1)/7
Let w(i) = -i**2 - 22*i + 51. Let j be 1 + 1 - -1 - (31 + -4). Let y be w(j). Factor 2/9*g**2 - 2/9*g**4 + 0 + 0*g + 0*g**y.
-2*g**2*(g - 1)*(g + 1)/9
Let b(o) = -o + 10. Let k be b(8). Suppose 5*i - 17 + k = 0. Factor a**2 + 3*a**3 - i*a**4 + 0*a**2 - 3*a**2 + 5*a**2 - 3*a.
-3*a*(a - 1)**2*(a + 1)
Let d(i) be the first derivative of 1/96*i**4 + 4 + 1/120*i**5 + 0*i + 1/480*i**6 + 0*i**3 + i**2. Let r(v) be the second derivative of d(v). Factor r(h).
h*(h + 1)**2/4
Let j(b) be the first derivative of 3*b**5/20 + 15*b**4/16 + 3*b**3/4 - 27*b**2/8 + 249. Suppose j(k) = 0. What is k?
-3, 0, 1
Suppose -17*j**2 + 1/2*j**5 + 12*j**3 + 23/2*j - 4*j**4 - 3 = 0. Calculate j.
1, 2, 3
Let l(z) = z**3 - 11*z**2 - z + 7. Let x(j) = 9*j**3 - 89*j**2 - 9*j + 55. Let k(g) = -51*l(g) + 6*x(g). Determine r, given that k(r) = 0.
-9, -1, 1
Let h(v) be the third derivative of v**6/24 - v**5/3 - 25*v**4/8 + 15*v**3 - 68*v**2 - 2*v. Factor h(a).
5*(a - 6)*(a - 1)*(a + 3)
Let u = -22940/3 + 7650. Find r such that 5/3*r**3 + 0*r + 0 + u*r**2 = 0.
-2, 0
Solve -189*c + 2*c**3 + 0*c**4 + 189*c + 0*c**3 + c**5 + 3*c**4 = 0.
-2, -1, 0
Let r(x) = x**2 + 1. Let m(i) be the third derivative of 0*i + 0 - 5/6*i**3 - i**2 + 1/24*i**4 - 1/10*i**5. Let b(j) = m(j) + 5*r(j). Factor b(f).
-f*(f - 1)
Let i = -374 - -379. Let k(q) be the third derivative of 0*q**3 - 1/12*q**4 + 0*q + 3*q**2 + 0 + 1/60*q**i. Suppose k(a) = 0. Calculate a.
0, 2
Factor -3/5*i**2 - 199692/5 - 1548/5*i.
-3*(i + 258)**2/5
Let m be (-2)/(-6)*((-135)/120)/3*-84. Factor -3/2*x**2 - 9 + m*x.
-3*(x - 6)*(x - 1)/2
Let -10/7*c**2 + 2/7*c**4 + 8/7*c**3 + 0 + 0*c = 0. What is c?
-5, 0, 1
Let w be (3*1/40)/(957/116). Let m(g) be the third derivative of 0*g**4 - w*g**5 - 1/660*g**6 + 0*g + 4/33*g**3 + 0 + g**2. What is k in m(k) = 0?
-2, 1
Let v = -29 + 32. Suppose k - k**3 + 4*k**v + 9*k**2 - k = 0. Calculate k.
-3, 0
Suppose -30*k - 66 = -41*k. Let f(u) be the first derivative of 3 + 9/2*u**2 - u**3 - k*u. Factor f(s).
-3*(s - 2)*(s - 1)
Let s(a) be the third derivative of a**7/336 - a**5/16 - 5*a**4/24 + 5*a**3/6 - 10*a**2. Let i(h) be the first derivative of s(h). Factor i(f).
5*(f - 2)*(f + 1)**2/2
Let o(j) be the third derivative of -j**7/630 - 23*j**6/360 + 5*j**5/12 - 77*j**4/72 + 13*j**3/9 - 59*j**2. Solve o(d) = 0 for d.
-26, 1
Let o(q) = -q**2 + 7*q - 3. Let r be o(7). Let j be 1/r*63/(-28). Factor -3/2*t**4 + 0*t**2 + 0 + 9/4*t**3 - j*t.
-3*t*(t - 1)**2*(2*t + 1)/4
Let r(g) be the first derivative of 0*g + 8 + 1/16*g**4 - 1/24*g**6 - 1/12*g**3 + 1/20*g**5 + 0*g**2. Let r(a) = 0. Calculate a.
-1, 0, 1
Suppose -10*q + 3*c - 24 = 0, 2*c - 31 + 15 = 0. Factor 0*k**2 - 1/4*k**3 + q + 0*k.
-k**3/4
Let g be ((-399)/(-15) - -1) + 6/(-10). What is u in 5*u**2 + g + 0*u**2 - 2*u**2 + 18*u = 0?
-3
Factor 28*i + 4 + 4 - 28*i**3 - 1 - 4*i**2 - 3.
-4*(i - 1)*(i + 1)*(7*i + 1)
Let u(b) = 72*b**2 - 41*b**2 - 35*b**2 - 2. Let o(z) = -5*z**2 + z - 3. Let d(f) = 4*o(f) - 6*u(f). Factor d(q).
4*q*(q + 1)
Let r be ((-12)/(-18) - 2)/(7/6*-4). Factor 4/7*l + 2/7 + r*l**2.
2*(l + 1)**2/7
Suppose -4*i = t - 5, -4*t - 9 = 3*i + t. Suppose 0 = -i*v - 6 + 10. Factor -44 - o**2 + 46 - o**2 - 2*o**3 + v*o.
-2*(o - 1)*(o + 1)**2
Let c be 46/(-1) - (-5)/(-5)*-1. Let x = -42 - c. Factor -4/5*v**2 + 0*v + 18/5*v**x + 0 - 14/5*v**4.
-2*v**2*(v - 1)*(7*v - 2)/5
Factor 3*m**4 + 16*m**3 - 5*m - 29*m**3 + 25*m**3 + 9*m**2 - 12 - 7*m.
3*(m - 1)*(m + 1)*(m + 2)**2
Let g(s) be the second derivative of -s**6/75 + 21*s**5/50 - 131*s**4/30 + 57*s**3/5 + 324*s**2/5 + 18*s + 3. Suppose g(o) = 0. What is o?
-1, 4, 9
Let q(t) be the first derivative of 4*t**3/3 - 22*t**2 - 48*t + 2. Determine a so that q(a) = 0.
-1, 12
Let r(z) be the third derivative of 19/288*z**4 + 7/240*z**5 + 1/12*z**3 + 1/160*z**6 + 14*z**2 - 2 + 0*z + 1/2520*z**7. Factor r(u).
(u + 1)**3*(u + 6)/12
Let r(q) be the second derivative of 0 - 1/16*q**4 + 3/8*q**3 + 0*q**2 + 5*q. Factor r(k).
-3*k*(k - 3)/4
Let w = 812 + -4059/5. Factor 0 + 4/5*p**2 - 4/5*p - w*p**3.
-p*(p - 2)**2/5
Factor -5/2*l**3 - 45/2*l + 0 + 15*l**2.
-5*l*(l - 3)**2/2
Let b(t) = -8*t**4 - 6*t**3 - 11*t - 11. Let y(n) = -3*n**4 - 2*n**3 - 4*n - 4. Let z(v) = -4*b(v) + 11*y(v). What is m in z(m) = 0?
0, 2
Let q(z) be the third derivative of z**8/168 + 3*z**7/35 + 19*z**6/60 - 7*z**5/10 - 14*z**4/3 + 16*z**3 - 4*z**2 - 22. Solve q(y) = 0.
-4, -3, 1
Let w(o) be the second derivative of 6*o**2 - 4/3*o**3 - 1/3*o**4 - 28*o + 0. Find g, given that w(g) = 0.
-3, 1
Suppose -4*t + 5 = -7. Factor -5*j**5 + 45*j**2 - 13*j**3 - 4*j**3 - 25*j**4 + 2*j**t.
-5*j**2*(j - 1)*(j + 3)**2
Let w(f) = f**3 - 5*f**2 + 3*f + 6. Let c be w(4). Suppose -2*v**3 - v + 23*v**c - v - 8*v - 15*v**2 + 4 = 0. Calculate v.
1, 2
Let u(g) = 4*g**4 + 4*g**3 - 8*g - 4. Let y(f) = 4*f**4 + 3*f**3 - 10*f - 5. Let b(o) = 5*u(o) - 4*y(o). Suppose b(q) = 0. What is q?
-2, 0
Factor 240*z**2 - 3302*z + 5988 - 376*z - 5*z**3 + 378*z + 3692.
-5*(z - 22)**2*(z - 4)
Find n such that -258/5*n + 16641/5 + 1/5*n**2 = 0.
129
Let k(d) = -d**5 - d**4 - d**3 - d. Let g(y) = -9*y**5 - 27*y**4 - 67*y**3 - 80*y**2 - 57*y - 12. Let j(x) = -2*g(x) + 14*k(x). Suppose j(s) = 0. What is s?
-6, -1
Find v, given that 24*v**4 - 202841*v + 202897*v + 70*v**3 + 2*v**5 + 120*v**2 + 16*v**3 = 0.
-7, -2, -1, 0
Suppose 2*u + 10 = 4*x, -46*x = -41*x - u - 17. Find t, given that -8/3*t**x - 8/3*t**3 + 4/3*t**2 + 10/3*t - 2/3*t**5 + 4/3 = 0.
-2, -1, 1
Let f(d) = 8*d**2 - 2*d - 18. Let l(k) = 9*k**2 - k - 22. Let c(z) = 7*f(z) - 6*l(z). Solve c(y) = 0.
1, 3
Determine q, given that 8/3 + 14*q - 38/3*q**2 - 4*q**3 = 0.
-4, -1/6, 1
Let j(k) be the first derivative of 0*k**2 - 2/3*k**3 + 0*k + 1/1260*k**6 + 0*k**5 + 0*k**4 + 5. Let m(l) be the third derivative of j(l). Factor m(s).
2*s**2/7
Let w(k) = -k**3 + 6*k**2 - 5*k - 3. Let s be w(5). Let p be (1/s)/((-1)/6). Suppose -2*h**p + 0*h**2 + 0*h**2 + 2*h + 2*h**3 - 2*h**2 = 0. Calculate h.
0, 1
Let z = 115 + -115. Determine r so that -2*r**3 - 1/3*r + z - 4/3*r**4 - 4/3*r**2 - 1/3*r**5 = 0.
-1, 0
Let j(b) be the second derivative of 2*b**6/15 + 9*b**5/5 - 10*b**4/3 - 2*b + 12. Determine x so that j(x) = 0.
-10, 0, 1
Let w(t) be the second derivative of 0 + 0*t**3 - 5*t + 2/5*t**5 - 3*t**4 + 8*t**2 + 2/5*t**6. Determine r so that w(r) = 0.
-2, -2/3, 1
Let g(j) be the second derivative of -j**7/56 - 19*j**6/40 - 291*j**5/80 - 45*j**4/16 + 81*j**3/4 + 3*j + 78. Determine y so that g(y) = 0.
-9, -2, 0, 1
Let x = 229 + -242. Let k(r) = -r**3 - 14*r**2 - 15*r - 23. Let o be k(x). Factor o*q - 9/2 - 1/2*q**2.
-(q - 3)**2/2
Suppose 5*q - r - 8 = 0, -2*q = -0*q - r - 5. Suppose -4*c + v + 7 = 0, -4*c - q = -5*v - 4. Factor -4/7*o - 6/7*o**c + 0.
-2*o*(3*o + 2)/7
Let 6*h**3 - 192/7 - 3/7*h**4 - 180/7*h**2 + 312/7*h = 0. Calculate h.
2, 8
Let l = 12181 + -12181. Factor -1/6*y - 1/2*y**2 - 1/3*y**3 + l.
-y*(y + 1)*(2*y + 1)/6
Let u(v) be the second derivative of 5*v**4/12 - 35*v**3 + 2205*v**2/2 + 156*v. Find g such that u(g) = 0.
21
Determine p so that -3/4*p**2 + 9/4*p + 0 = 0.
0, 3
Let h(a) be the first derivative of 1 + 0*a - 1/33*a**4 - 1/330*a**5 - 1/11