t x be w(2). Factor 1/4*b**x + b + 2*b**2 + 0 - 3/4*b**4.
-b*(b - 2)*(b + 1)*(3*b + 2)/4
Suppose -5*u = -3*u + 5*s - 28, 3*s + 21 = 3*u. Let l = u - 6. Factor -b + b - b**l + b.
-b*(b - 1)*(b + 1)
Let k(q) = q**5 + 7*q**4 - 13*q**3 - 5*q**2 + 10. Let y(m) = m**4 - m**3 - m**2 + 2. Let a(f) = -k(f) + 5*y(f). Suppose a(o) = 0. What is o?
-4, 0, 2
Find c such that -3/2*c**2 + 15/2*c + 0 = 0.
0, 5
Let a(s) be the first derivative of 4*s**6/45 + 2*s**5/15 + s**4/12 - 2*s**3 - 10. Let n(r) be the third derivative of a(r). Factor n(i).
2*(4*i + 1)**2
Let t be (-2 - 1) + (-13 - (-144)/8). Let u(x) be the first derivative of 4*x + t*x**2 - 1/2*x**4 + 4 - x**3 + 1/5*x**5. Factor u(j).
(j - 2)**2*(j + 1)**2
Let y(g) = -11*g + 32. Let t be y(-6). Factor -15*d - 68*d**2 + 66*d**2 - 13*d - t.
-2*(d + 7)**2
Suppose 8/5*j - 4/5*j**3 + 2/5*j**4 - 6/5*j**2 + 8/5 = 0. What is j?
-1, 2
Let z(w) be the first derivative of -w**4/22 + 40*w**3/33 - 93*w**2/11 + 252*w/11 - 502. Factor z(q).
-2*(q - 14)*(q - 3)**2/11
Determine z, given that -12*z**2 - 784*z**3 - 15*z + 25 + 388*z**3 + 3*z**2 + 395*z**3 = 0.
-5, 1
Let d = 915 + -915. Let n(p) be the second derivative of 1/6*p**5 - 1/21*p**7 - 1/9*p**6 - 2/9*p**3 + d + 0*p**2 + 5*p + 5/18*p**4. What is t in n(t) = 0?
-2, -1, 0, 1/3, 1
Suppose 0 = 5*r - y - 10418, -r - y = -0*r - 2086. Let k = r + -22900/11. Let -128/11 - 2/11*p**3 - 96/11*p - k*p**2 = 0. What is p?
-4
Let k(x) be the second derivative of -x**6/60 - x**5/10 + x**4/24 + x**3/3 + 131*x - 1. Find z, given that k(z) = 0.
-4, -1, 0, 1
Let u = -72 - -145/2. Let k(z) be the first derivative of -u*z**4 - 6 + 0*z**2 - z**6 + 0*z + 2/3*z**3 - 2*z**5. Let k(r) = 0. What is r?
-1, 0, 1/3
Let y(f) be the third derivative of -f**6/40 - 7*f**5/5 - 165*f**4/8 + 225*f**3 - 46*f**2. Factor y(b).
-3*(b - 2)*(b + 15)**2
Suppose -13*f + 9*f + 7 = -5*n, 2*n - 14 = -4*f. Factor -2/5 + 2/5*c**2 - 2/5*c**f + 2/5*c.
-2*(c - 1)**2*(c + 1)/5
Let g(c) be the first derivative of 1/33*c**6 + 2 + 0*c + 0*c**4 + 0*c**2 + 0*c**5 + 0*c**3. Factor g(p).
2*p**5/11
Suppose 4*f - 5*f = -4*q - 56, -3*f + 175 = -5*q. Let z be (4/6 - 1) + f/72. What is m in -z + 3/4*m + 27/4*m**2 = 0?
-1/3, 2/9
Let u(d) = 5*d**4 - 65*d**3 + 6*d - 6. Let g(j) = j - 1. Let a(k) = 6*g(k) - u(k). What is b in a(b) = 0?
0, 13
Let u(c) = -3*c**3 + 98*c**2 - 4. Let o(i) = -i**2 + 2. Let k(y) = -2*o(y) - u(y). Factor k(x).
3*x**2*(x - 32)
Find v such that 874/5*v**2 + 722/5*v**3 + 32*v + 8/5 = 0.
-1, -2/19
Let -147*p + 7 - 7 - 104*p + 67*p - 4*p**2 = 0. What is p?
-46, 0
Let h(m) be the first derivative of m**4 + 5*m**3/3 - 7*m**2/2 - 2*m + 25. Let h(v) = 0. What is v?
-2, -1/4, 1
Let x(m) be the second derivative of -m**4/18 - 40*m**3/9 + 344*m. What is w in x(w) = 0?
-40, 0
Suppose -v - 2*v = -4*p - 19, -11 = 2*p - v. Let h be (-16)/14*p/2. Determine s, given that -4*s - 8*s**4 + 22*s - 26*s**3 + h + 8*s**5 + 2*s**2 + 2*s**4 = 0.
-1, -1/4, 1, 2
Let s(r) be the third derivative of 0 + 1/20*r**5 - 46*r**2 + 0*r**3 - 1/60*r**4 - 13/600*r**6 + 0*r. Factor s(o).
-o*(o - 1)*(13*o - 2)/5
Suppose -2*m = 3*m + 40. Let r(w) = -w**3 - 9*w**2 - 8*w + 4. Let j be r(m). Suppose 2*z**3 - 2*z - 1 - 4*z**3 + 4*z**3 + j*z**2 - 3 = 0. What is z?
-2, -1, 1
Let i(d) be the second derivative of d**4/30 - 2*d**3/15 - 3*d**2 - 57*d - 2. Factor i(b).
2*(b - 5)*(b + 3)/5
Solve -2/15*l**4 + 2/5*l**3 + 0*l**2 + 0 - 8/15*l = 0 for l.
-1, 0, 2
Suppose 125*q + 91*q + 87*q + 5*q**3 - 238*q - 40*q**2 - 30 = 0. What is q?
1, 6
Let w(t) = -11*t**2 - 278*t + 58. Let f(c) = -16*c**2 - 418*c + 86. Let z(n) = 5*f(n) - 8*w(n). Suppose z(m) = 0. What is m?
-17, 1/4
Let p(a) be the third derivative of a**6/540 + 16*a**5/135 - 35*a**4/27 + 16*a**3/3 + 8*a**2 + 2. Factor p(f).
2*(f - 2)**2*(f + 36)/9
Let h = 2989/3 + -995. Let y(k) be the third derivative of 0*k + 1/15*k**5 + 0 - 5*k**2 + 1/2*k**4 + h*k**3. Solve y(l) = 0 for l.
-2, -1
Let h(y) = -y**3 + 3*y**2 + 2*y + 1. Let k be h(3). Let x = -5 + k. Suppose -13 + 5 + 42*g**3 + 112*g**x - 54*g**2 + 8*g = 0. What is g?
-1, -2/3, 2/7
Suppose 28*w - 26*w - 12 = 0. Let t(u) be the third derivative of 1/32*u**4 - 1/12*u**3 - 1/480*u**w - 5*u**2 + 0*u + 0 + 0*u**5. Determine z so that t(z) = 0.
-2, 1
Let u be (2/12)/(2/3). Factor -1/4*o**4 + 0*o**2 + u*o**3 + 0*o + 0.
-o**3*(o - 1)/4
Suppose -2*s - 3*l = -0*l - 10, 8 = s + 3*l. Suppose 4*t + 10 - 2 = 0, -s*t = -z + 10. Factor i - 2 - z*i**2 - i**3 + 2*i**2 - 6*i.
-(i + 1)**2*(i + 2)
Factor -13*n**2 - n**3 + 22*n + 2*n**4 + 3*n**3 - 8 - 5*n**2.
2*(n - 1)**3*(n + 4)
Let m(v) be the third derivative of -v**6/240 + v**5/60 + 13*v**4/48 + 5*v**3/6 + 10*v**2 - 2*v. Factor m(t).
-(t - 5)*(t + 1)*(t + 2)/2
Let i(y) be the third derivative of 1/12*y**4 + 0*y + 2 + 3*y**2 - 7/150*y**5 + 2/5*y**3 - 1/60*y**6 + 1/525*y**7. Solve i(s) = 0 for s.
-1, 1, 6
Let t(z) be the third derivative of z**6/360 + z**5/90 - 93*z**2 - z. Suppose t(o) = 0. Calculate o.
-2, 0
Let i(x) be the second derivative of x**7/560 - x**6/120 + 13*x**3/6 - 12*x. Let m(p) be the second derivative of i(p). Factor m(h).
3*h**2*(h - 2)/2
Let i(g) be the third derivative of g**6/420 + 41*g**5/210 + 79*g**4/84 + 13*g**3/7 + 367*g**2. Factor i(z).
2*(z + 1)**2*(z + 39)/7
Let r(s) = 3*s - 8. Let q be -3*(-16)/36*3. Let b be r(q). Factor 2/7*h**2 + 4/7*h - 2/7*h**b - 4/7*h**3 + 0.
-2*h*(h - 1)*(h + 1)*(h + 2)/7
Let m(b) be the second derivative of b**4/24 - 3*b**3/4 + 5*b**2 + 2*b + 24. Suppose m(w) = 0. What is w?
4, 5
Let n(y) = 17*y**4 + 11*y**3 + 61*y**2 + 25*y. Let l(q) = -12*q**4 - 7*q**3 - 42*q**2 - 17*q. Let g(k) = -7*l(k) - 5*n(k). Factor g(j).
-j*(j + 1)*(j + 2)*(j + 3)
Let r(g) be the third derivative of 0*g + 2/9*g**3 + 0 + 0*g**5 + 1/12*g**4 - 1/180*g**6 - 12*g**2. Let r(a) = 0. Calculate a.
-1, 2
Suppose 4*f - 3*o - 17 - 5 = 0, 5*f - 5*o = 30. Suppose -f*l = 5*r - 14, -5*r + 5 = -4*l - l. Factor -41*y - y**3 + r*y**3 + 116*y + 125 + 15*y**2.
(y + 5)**3
Let y = -3860 - -27276/7. Solve -y + 4/7*h**3 - 48/7*h**2 + 192/7*h = 0.
4
Let d(k) be the second derivative of -k**5/20 + 5*k**4/4 - 7*k**3/3 - 277*k. Find b, given that d(b) = 0.
0, 1, 14
Let t be -9*(-14)/21 - (-18)/(-3). Let i(g) be the third derivative of 0 + 0*g - 1/6*g**4 + 0*g**5 + 1/30*g**6 + t*g**3 - 11*g**2. Factor i(n).
4*n*(n - 1)*(n + 1)
Find c such that -36*c**2 - 101*c + 8*c**4 + 42*c**3 + 55138 - 155*c - 54946 = 0.
-4, 3/4, 2
Let o(b) = -59*b**2 - 128*b + 6. Let x(n) = 15*n**2 + 32*n - 2. Let f(k) = -3*o(k) - 13*x(k). Determine v so that f(v) = 0.
-2, 2/9
Let i(s) be the third derivative of -s**7/5040 + 5*s**3/2 - 4*s**2. Let b(u) be the first derivative of i(u). Factor b(n).
-n**3/6
Suppose 2*c = 3*c + 2*c. Let w be (c + 2)/(-24)*16/(-3). Factor -w*q + 2/9*q**2 + 0.
2*q*(q - 2)/9
Factor 195/7*j**2 - 3/7*j**3 + 3/7*j - 195/7.
-3*(j - 65)*(j - 1)*(j + 1)/7
Let l(k) be the second derivative of 2*k**7/21 + 2*k**6/15 - 2*k**5/5 + 52*k. Let l(i) = 0. What is i?
-2, 0, 1
Suppose 0*u**2 + 0*u + 18*u**3 - 3/2*u**4 + 0 = 0. What is u?
0, 12
Let w(u) = -2*u**3 + 6*u**2 + 9*u + 5. Let q(o) = 3*o**3 - 1. Let k(i) = 2*q(i) + 2*w(i). Suppose k(h) = 0. What is h?
-4, -1
Let k be 5/((-165)/(-44)) - 2/3. Determine m so that 1/3*m**3 + 0*m + 0*m**2 + 1/3*m**5 + 0 - k*m**4 = 0.
0, 1
Suppose 0 = -3*h + 2*t + 77 + 59, 0 = -h - 2*t + 40. Determine p, given that p**2 + 79*p - h*p - 43*p - 12 + 3 = 0.
-1, 9
Factor d**2 + 16*d - 4*d + 2*d - 8*d - 7.
(d - 1)*(d + 7)
Let j(z) = z**2 + 23*z + 2. Let y be j(-23). Let 7*g**2 + 5*g**3 + y*g**4 - 11*g**3 - 3*g**2 = 0. What is g?
0, 1, 2
Let r(u) be the first derivative of -3 + 0*u + 2/11*u**2 - 2/33*u**3. Factor r(o).
-2*o*(o - 2)/11
Let v = -216 + 221. Let u(x) be the second derivative of 0 + 1/30*x**4 + 2/5*x**2 - 1/5*x**3 - v*x. Find a such that u(a) = 0.
1, 2
Solve 24/5*s + 4/5*s**4 - 24/5*s**3 - 36/5 + 32/5*s**2 = 0 for s.
-1, 1, 3
Let k(o) be the third derivative of 7/108*o**4 + 1/270*o**5 - 8/27*o**3 - 34*o**2 + 0 + 0*o. Find z, given that k(z) = 0.
-8, 1
Let f(j) be the second derivative of j**4/4 + 5*j**3 - 117*j**2/2 + 909*j. Find h such that f(h) = 0.
-13, 3
Let i(f) be the second derivative of f**5/20 + f**4/4 + f**3/3 - 25*f - 3. Factor i(r).
r*(r + 1)*(r + 2)
Let r = -38 + 41. Let a(x) be the first 