*x = w - 2. Factor 3/2*b**w + 1/2 - 3/2*b - 1/2*b**3.
-(b - 1)**3/2
Suppose 2 = a - 4. Determine k, given that 82*k - 3*k**2 + 0*k**3 - a*k**3 - 76*k + 3*k**4 = 0.
-1, 0, 1, 2
Suppose 3*f - 398 = -395. Let x(t) be the first derivative of -16/7*t - 8/7*t**2 - 4/21*t**3 - f. Find o, given that x(o) = 0.
-2
Let f = -2332 - -7001/3. Factor 0 - f*q + 55/6*q**2 + 35/6*q**4 - 40/3*q**3.
5*q*(q - 1)**2*(7*q - 2)/6
Let f be (8/(-16)*3)/(1 + -28). Let c(r) be the first derivative of -1/2*r + 3 + f*r**3 + 1/6*r**2. Factor c(k).
(k - 1)*(k + 3)/6
Suppose -2*p + 7 = -i - 2*i, p = 5*i. Solve -33*y**p + 5*y**4 + 25*y**3 - 6*y**2 + 8*y**3 + y**4 = 0 for y.
-1, 0, 2/11, 1
Let b be (-34)/85*(0 + 75/(-6)). Factor -1/5*u**b + u - 4/5*u**3 + 2/5 - 4/5*u**4 + 2/5*u**2.
-(u - 1)*(u + 1)**3*(u + 2)/5
Let b = -2/2031 + -898/4739. Let m = 10/21 - b. Factor 2/3*n**3 + m*n**4 + 0 - 2/3*n**5 - 2/3*n**2 + 0*n.
-2*n**2*(n - 1)**2*(n + 1)/3
Let r be (-31)/60 + (-3 - (-36)/10). Let t(h) be the second derivative of 2/9*h**3 - 1/6*h**2 - 2*h + 0 - r*h**4. Let t(d) = 0. What is d?
1/3, 1
Find d such that -1/6*d**5 + 1/3 - 1/6*d + 1/3*d**3 + 1/3*d**4 - 2/3*d**2 = 0.
-1, 1, 2
Suppose 7*i - 16 = 3*i. Suppose -3*v = -4*v + 4*u - 18, -4*v = i*u - 28. Determine z so that 0 + 2/5*z - 2*z**v = 0.
0, 1/5
Suppose 2*o + 11 = 3. Let q = 0 - o. Solve 7*p**2 + 39*p**3 - 5*p - 12*p**q - 52*p**2 + 17 - 20 + 26*p = 0 for p.
1/4, 1
Suppose -13568*u**2 + 13448*u**2 - 3*u**5 + 357*u - 97 - 138*u**3 + 13 + 378 + 42*u**4 = 0. Calculate u.
-1, 2, 7
Determine n, given that 13*n**3 + 31 + 81*n**4 + 9 - 30*n**2 - 82*n**4 - 4*n = 0.
-1, 2, 10
Let z(j) be the first derivative of 3*j**8/448 + 11*j**7/1120 + j**6/240 - 11*j**3/3 - 38. Let v(f) be the third derivative of z(f). Factor v(r).
3*r**2*(3*r + 1)*(5*r + 2)/4
Let c(l) = 15*l + 393. Let v be c(-26). What is s in 0*s - 1/7*s**2 - 1/7*s**4 - 2/7*s**v + 0 = 0?
-1, 0
Let a(x) be the first derivative of x**3 + 75*x**2/2 + 72*x + 97. Determine i so that a(i) = 0.
-24, -1
Let f(h) be the second derivative of -8/15*h**6 + 0 + 4*h**2 + 4/5*h**5 - 10/3*h**3 + 2/21*h**7 + 3*h + 2/3*h**4. Factor f(z).
4*(z - 2)*(z - 1)**3*(z + 1)
Let o(j) = 10*j**2 + 3*j - 16. Let y(s) = -43*s**2 - 11*s + 64. Let k(r) = 26*o(r) + 6*y(r). Factor k(p).
2*(p - 2)*(p + 8)
Let k(g) = -2*g - 5. Let y be k(-4). Factor 0 + 0 + 0*a**3 + 2*a**2 - 2*a**y.
-2*a**2*(a - 1)
What is j in -29*j**2 - 3*j**5 + 10*j**2 + 27*j**4 + 10*j**3 + 23*j**3 - 367*j + 337*j - 8*j**2 = 0?
-1, 0, 1, 10
Let y(l) = -l**2 - 103*l + 106. Let a be y(1). Factor 8/5*p**a + 0*p - 3/5*p**4 + 0 + 2*p**3.
-p**2*(p - 4)*(3*p + 2)/5
Let m = -2/16629 - -5545/16629. Factor -2/3*r + 0 + r**2 - m*r**3.
-r*(r - 2)*(r - 1)/3
Factor -11*h - 1/3*h**2 + 34/3.
-(h - 1)*(h + 34)/3
Let a(o) = -o**2 + 10*o + 2. Let q(p) = p + 1. Let i(j) = a(j) - 6*q(j). Let u be i(2). Factor -3/5*v**4 - 6/5*v**3 - 3/5*v**2 + 0*v + u.
-3*v**2*(v + 1)**2/5
Let r(c) = c**2 + 66*c - 673. Let w be r(9). Factor -24/5*t - 16/5*t**3 - 4/5 - 36/5*t**w.
-4*(t + 1)**2*(4*t + 1)/5
Let p(h) be the second derivative of -h**5/160 + h**4/96 + 7*h**3/24 - 3*h**2/2 - 121*h. Factor p(r).
-(r - 3)*(r - 2)*(r + 4)/8
Suppose 5*n + 2 = 2*d, -1 = 5*n - 11. Suppose -3*a + 2*o = 0, o - 5 - d = -4*a. Suppose -7*p**a + 3*p**4 + 6*p**2 + 6*p - 8*p**2 = 0. What is p?
-2, 0, 1
Let j(q) = -q + 2. Let l be j(0). Let c = 207/1547 + 2/221. Factor 0 + 4/7*m**l + c*m.
m*(4*m + 1)/7
Suppose 3*g = -9*v + 10*v - 3, 9 = -4*g + 3*v. Let m(n) be the second derivative of 2/3*n**3 + 0 - 1/2*n**4 + g*n**2 - 10*n. Factor m(w).
-2*w*(3*w - 2)
Let u(q) be the second derivative of 0 - 10*q - 1/21*q**4 + 0*q**2 + 2/21*q**3. What is g in u(g) = 0?
0, 1
Let d(y) be the second derivative of 1/90*y**6 + 8*y - 1/3*y**2 + 0 - 1/12*y**4 + 1/60*y**5 - 5/18*y**3. Factor d(x).
(x - 2)*(x + 1)**3/3
Let a(c) = -c**3 - 7*c**2 + 4. Let p be a(-7). Suppose 4*i = i - p*j + 104, -j + 35 = i. Solve 3*v**2 - 33*v - i*v**3 - 10*v - 87*v**2 - 21*v - 16 = 0.
-1, -2/3
Let t(g) be the second derivative of -g**5/390 + g**4/78 + g**3/13 - 28*g**2 - 55*g. Let n(j) be the first derivative of t(j). What is k in n(k) = 0?
-1, 3
Let k = 5978 + -5975. Find m, given that 9/4*m**k + 0 + 3/2*m**4 - 6*m**2 + 3*m - 3/4*m**5 = 0.
-2, 0, 1, 2
Let z(w) = 2*w - 2. Let r be z(2). Let n be -1 - ((-4)/10 - 27/45). Factor n*a**r - 2/7*a + 0 + 2/7*a**3.
2*a*(a - 1)*(a + 1)/7
Let t(o) = -284*o**4 + 9*o - o + 8*o**2 - 8 + 280*o**4 - 8*o**3. Let v(i) = 4*i**4 + 7*i**3 - 9*i**2 - 7*i + 8. Let a(n) = -3*t(n) - 4*v(n). Factor a(d).
-4*(d - 1)**2*(d + 1)*(d + 2)
Let u = 4265/3198 + -1/3198. Suppose 0 = 4*f - 6 - 2. Let -2/3*d**f + 0 + 2/3*d**4 + 4/3*d - u*d**3 = 0. What is d?
-1, 0, 1, 2
Let f = -1/28 + 341/140. Let h(c) be the first derivative of 0*c**2 - 1/2*c**6 - f*c**5 - 5 - 15/4*c**4 - 2*c**3 + 0*c. Determine x so that h(x) = 0.
-2, -1, 0
Let l(q) be the third derivative of q**7/2100 + q**6/300 + q**5/150 + 13*q**3/3 + 15*q**2. Let d(k) be the first derivative of l(k). Solve d(u) = 0 for u.
-2, -1, 0
Solve 0 - 191*w**3 - 484/3*w - 1/3*w**5 + 1012/3*w**2 + 46/3*w**4 = 0.
0, 1, 22
Suppose -4*u + 7 = -q, 0 = 5*u - 14 - 11. Suppose -18*b + 95 = -q*b. Determine z, given that -3*z**2 + 12*z - b*z + 4*z = 0.
-1, 0
Let b(p) be the second derivative of -2*p**5/25 + p**4/30 + p**3/3 + 3*p - 44. Determine m so that b(m) = 0.
-1, 0, 5/4
Let b = 7 - 5. Suppose -2*v = -3*h + 12, b*v + 8 = h + h. Suppose 105*c**5 + v*c - 5*c + 117*c**4 + 5*c - 12*c**2 = 0. What is c?
-1, -2/5, 0, 2/7
Let p(z) be the third derivative of 0*z + 1/270*z**5 + 0*z**3 + 3*z**2 + 1/1080*z**6 + 0 + 1/216*z**4. Find r, given that p(r) = 0.
-1, 0
Solve -1/6*b**3 - 2/3 + 1/6*b**4 - 3/2*b**2 - 11/6*b = 0.
-1, 4
Suppose 3*m = -m - 3*g - 74, -14 = m + 3*g. Let s be ((-6)/10)/(6/m - 0). Find j such that -4/9 + 2/9*j**s + 2/9*j**4 + 2/3*j**3 - 2/3*j = 0.
-2, -1, 1
Let s(z) be the first derivative of -z**4/2 + 4*z**3 + 15*z**2 + 16*z - 28. Factor s(m).
-2*(m - 8)*(m + 1)**2
Suppose r - 6 = -2*r. Suppose r*v + 2*v - 8 = 0. Let 1 + 4*f**3 - f**v + 0 - 3*f**2 - f = 0. Calculate f.
-1/2, 1/2, 1
Factor -11*k**2 + 21*k**2 + 14*k**5 + 46*k**4 - 2*k**2 + 18*k**2 + 4*k + 54*k**3.
2*k*(k + 1)**3*(7*k + 2)
Let q(m) = 0*m**2 + m**2 + 4*m - 17*m + 73 - 83. Let y be q(14). Factor 50/13*o**2 + 128/13*o**5 + 2/13 + 20/13*o - 40/13*o**3 - 160/13*o**y.
2*(o - 1)**2*(4*o + 1)**3/13
Let z(b) = -b**2 - b - 3. Let d(r) = -1014*r**3 - 1440*r**2 - 681*r - 99. Let g(c) = d(c) + 3*z(c). Solve g(s) = 0.
-1/2, -6/13
Let h(s) = -s. Let m be h(-3). Let l(i) = -i**2 + 2*i + 4. Let c be l(m). Factor b**3 + 2*b - b**2 - 2*b**3 - b + c.
-(b - 1)*(b + 1)**2
Let x be ((-2)/(-92))/(4 - (-85)/(-20)). Let b = x - -56/115. Factor 0*q - b + 2/5*q**2.
2*(q - 1)*(q + 1)/5
Let w be 6*(2 + -2 - -1). Suppose w = -0*f + 3*f. Let -6*c + 22*c**2 + 17*c**2 - f - 31*c**2 = 0. What is c?
-1/4, 1
Let g(b) = -b - 3. Let w(k) = 8*k + 60. Let q(o) = 10*g(o) + w(o). Let p be q(14). What is t in 0 - 2/7*t**3 - 8/7*t**5 + 0*t**p + 0*t + 10/7*t**4 = 0?
0, 1/4, 1
Let z(l) be the second derivative of -l**4/9 + 4*l**3/9 + l + 21. Factor z(p).
-4*p*(p - 2)/3
Let o be -12 + 23 + 0 + -9. Factor 1/3*g**o + 3*g + 8/3.
(g + 1)*(g + 8)/3
Let q(a) be the second derivative of 0*a**4 + 0*a**2 + a + 0*a**3 + 0*a**5 + 0 + 2/15*a**6 + 1/21*a**7. Factor q(u).
2*u**4*(u + 2)
Let t(k) be the third derivative of k**7/1050 + 17*k**6/300 + 253*k**5/300 - 51*k**4/10 + 54*k**3/5 + 4*k**2 - 41. Determine y, given that t(y) = 0.
-18, 1
Suppose -168*l - 69 = -470 - 103. Find m such that -1/7*m**4 + 0 - 3/7*m**l - 2/7*m**2 + 0*m = 0.
-2, -1, 0
Let n(p) be the first derivative of 55*p**4/4 + 70*p**3 + 90*p**2 - 40*p + 547. Determine z, given that n(z) = 0.
-2, 2/11
Suppose 13*q**3 + 3*q**3 - 5*q**4 + 15*q - 3*q + 26*q**2 - 3*q**4 + 10*q**4 = 0. Calculate q.
-6, -1, 0
Suppose 5*f + 40 = 10*f. Suppose p - f = -p - 4*w, w = 2. Factor -1/4 - 1/2*r + 1/2*r**3 + p*r**2 + 1/4*r**4.
(r - 1)*(r + 1)**3/4
Let v(z) = -z**2 - 7*z - 2. Let n be v(-6). Suppose -4*p + 4 = -j, -5*j = -0*p - n*p + 4. Factor j - 8/3*r**2 + 2*r**3 + 2/3*r.
2*r*(r - 1)*(3*r - 1)/3
Let w be 0/(-31) - -1*(-1)/(-270). Let s(v) be the third derivative of w*v**5 + 10*v**2 + 0 - 4/27*v**3 + 0*v**4 + 0*v. Find b such that