3, 0
Suppose 0 = 4*u + 11 - 71. Factor u - 3*v**4 - 2*v**4 + 5*v - 5*v**3 - 15 + 5*v**2.
-5*v*(v - 1)*(v + 1)**2
Let j = -1586 - -1588. Factor -4/19*s - 2/19 - 2/19*s**j.
-2*(s + 1)**2/19
Let g = -27650 - -55301/2. Let -1/2*m**2 + 1/4*m**4 + 1/4*m - g*m**3 + 1/4 + 1/4*m**5 = 0. Calculate m.
-1, 1
Let h(l) = 6*l**3 + 4*l**2 + 5. Suppose -48*r = -49*r - 5. Let y(f) = -7*f**3 - 5*f**2 - 6. Let q(x) = r*y(x) - 6*h(x). Let q(s) = 0. What is s?
0, 1
Let g be (-54)/(-14) - (-30*(-14)/70)/2. Suppose 0*u + g*u**2 + 0 - 2/7*u**3 - 4/7*u**4 = 0. What is u?
-3/2, 0, 1
Factor -4*o**4 + 40*o + 96*o**2 + 0*o**3 - 11*o + 23 - 37 + 49*o**3.
-(o - 14)*(o + 1)**2*(4*o - 1)
Solve 16/3*q - 64/3 - 1/3*q**2 = 0 for q.
8
Let t(o) be the second derivative of o**8/23520 - o**6/840 - o**5/210 + 31*o**4/12 + 30*o. Let s(z) be the third derivative of t(z). Factor s(f).
2*(f - 2)*(f + 1)**2/7
Let s be (-6)/69 + 728/1495. Let -s*m**3 + 2/5 + 2/5*m**4 + 1/5*m**5 - 4/5*m**2 + 1/5*m = 0. What is m?
-2, -1, 1
Let s(r) be the second derivative of 1/3*r**4 - 1/10*r**5 + 0*r**3 + 0*r**2 - 1/15*r**6 + 10*r + 0. Determine f so that s(f) = 0.
-2, 0, 1
Let y(p) = p**3 + 2*p**2 - 2*p + 15. Let r be y(0). Let -r - 49*n**2 + 53*n**2 - 8*n + 3 = 0. Calculate n.
-1, 3
Let h(u) be the first derivative of -4*u**5/5 + 5*u**4 - 8*u**3 - 23. Let h(n) = 0. Calculate n.
0, 2, 3
Let n(w) be the second derivative of w**5/60 + w**4/18 - w**3/6 + 8*w + 4. Find k, given that n(k) = 0.
-3, 0, 1
Let l(c) be the second derivative of -c**7/21 + 4*c**6/15 + 23*c**5/40 - 13*c**4/24 - 11*c**3/12 + 5*c**2/4 + 180*c. Find n such that l(n) = 0.
-1, 1/2, 5
Let y be 3 + -1 + 4 + -4 + 0. Determine c, given that 2/13*c**4 + 0 + 16/13*c + 24/13*c**y + 12/13*c**3 = 0.
-2, 0
Let v(z) be the first derivative of -24*z**5/5 - 87*z**4/14 + 9*z**3/7 + 39*z**2/14 + 6*z/7 + 173. Suppose v(l) = 0. What is l?
-1, -2/7, -1/4, 1/2
Let l(t) = -6*t**4 - 40*t**3 + 52*t**2 + 240*t + 139. Let y(q) = 2*q**4 + 20*q**3 - 26*q**2 - 120*q - 70. Let s(n) = -2*l(n) - 5*y(n). Let s(v) = 0. What is v?
-1, 6
Let i be (4/8)/(5 - 4). Let q(m) = -2*m**2 + 4*m + 2. Let r be q(2). Solve -1/2*b**r + b - i = 0 for b.
1
Let c = 13/16733 + -40946652/1288441. Let o = c - -225/7. Factor -o*h + 2/11 + 2/11*h**2.
2*(h - 1)**2/11
Let r = 785895/7 + -112015. Let v = 256 - r. Factor -2/7*q + 2/7*q**3 - v + 2/7*q**2.
2*(q - 1)*(q + 1)**2/7
Let z be -4 - -4 - 1 - (-3 - 18/(-11)). Solve -2/11*x**2 - z*x + 6/11 = 0 for x.
-3, 1
Suppose 4*h - 99 - 72 = n, 2*n - 186 = -4*h. Factor 16*k**4 + 4*k**5 + 44 - h + 12*k**3.
4*k**3*(k + 1)*(k + 3)
Let l(h) = -13*h**2 + 10*h + 24. Let r(k) = 36*k**2 - 28*k - 72. Let y(a) = -8*l(a) - 3*r(a). Factor y(x).
-4*(x - 3)*(x + 2)
Let y = -3/67 - -97/670. Let r(g) be the second derivative of -y*g**5 + 5*g + 1/42*g**7 + 1/2*g**2 - 1/6*g**4 + 1/6*g**3 + 0 + 1/30*g**6. Factor r(m).
(m - 1)**2*(m + 1)**3
Let d(j) be the first derivative of -j**6/24 + 5*j**4/8 + 5*j**3/3 + j**2/2 - 2. Let m(u) be the second derivative of d(u). Determine k, given that m(k) = 0.
-1, 2
Let x be (24/(-27) + (-3)/27)/(-2). Suppose -x - 3/4*m - 1/4*m**2 = 0. Calculate m.
-2, -1
Let h be (0 - (3 - 9/3))/4. Factor 20/3*x**3 - 5*x**4 + h*x**2 + 0 + 0*x - 5/3*x**5.
-5*x**3*(x - 1)*(x + 4)/3
Let u(w) = -w**2 + 9*w - 15. Let n be u(5). Factor n*b + 8*b - 25*b**2 - 32 + 5*b**3 + 17 + 22*b.
5*(b - 3)*(b - 1)**2
Let d(g) be the first derivative of g**6/2 - g**5 - g**4/4 + 5*g**3/3 - 5*g**2/2 - 3*g + 1. Let k(m) = m + 1. Let v(a) = d(a) + 3*k(a). Factor v(b).
b*(b - 1)**2*(b + 1)*(3*b - 2)
Let y(p) = 45*p**3 - 6*p**2 - 45*p + 11. Let m(f) = 44*f**3 - 6*f**2 - 44*f + 10. Let t(w) = 5*m(w) - 4*y(w). Factor t(j).
2*(j - 1)*(j + 1)*(20*j - 3)
Find w, given that -31*w**2 + 9963*w**3 - 9958*w**3 - 155 - 134*w**2 + 315*w = 0.
1, 31
Let z = -3719/30 + 124. Let r(o) be the third derivative of 3*o**3 + 1/2*o**4 + 0 + 5*o**2 + 0*o + z*o**5. Factor r(g).
2*(g + 3)**2
Suppose -3 = 3*m, 7*m - 6*m = 3*c - 16. Let h be (-2)/(-13) - (1 - c - -4). Determine x so that -h*x**2 - 2/13*x + 4/13 = 0.
-2, 1
Let r be -2 - (-7 - -9 - 7). Let k(v) be the first derivative of 2/21*v**3 + 0*v + 2/7*v**2 + r. Factor k(i).
2*i*(i + 2)/7
Let c(o) = -2 + 0*o**2 - o**3 - 2 + 4*o**2 - 5*o + 6*o. Let d(b) = b**3 - 4*b**2 + 3. Let a(j) = -5*c(j) - 6*d(j). Determine y so that a(y) = 0.
1, 2
Let r be 32/(-360) + (-3)/(-15). Let o(m) be the first derivative of -5 + 0*m**2 + 1/3*m - r*m**3. Factor o(a).
-(a - 1)*(a + 1)/3
Determine j so that 0*j - 4/5 + 3/5*j**2 - 1/5*j**3 = 0.
-1, 2
Let k(l) be the third derivative of l**5/390 + 5*l**4/156 + 4*l**3/39 - 198*l**2. Factor k(v).
2*(v + 1)*(v + 4)/13
Let g(l) be the second derivative of -l**7/105 - l**6/25 + 3*l**5/10 - 17*l**4/30 + 2*l**3/5 - 2*l - 10. Let g(b) = 0. What is b?
-6, 0, 1
Let g = -1/1113 + 955/1113. Factor -3/7 - 6/7*d + 3/7*d**4 + 0*d**2 + g*d**3.
3*(d - 1)*(d + 1)**3/7
Let -31*f - 164 + 46*f - 119*f - 4*f**2 - 64*f = 0. Calculate f.
-41, -1
Factor -3981*a**4 - 6*a**3 - 23*a**5 + 9*a**2 - a**5 + 3942*a**4.
-3*a**2*(a + 1)**2*(8*a - 3)
Let i(k) be the second derivative of k**6/6 + 27*k**5/4 - 35*k**4/3 + 89*k. Solve i(s) = 0 for s.
-28, 0, 1
Let h(q) be the first derivative of q**4/16 + 13*q**3/12 - 8*q**2 + 17*q - 92. Solve h(n) = 0.
-17, 2
Let j = 14549/3234 + 2/1617. Let -3/2*t**3 + 0 + j*t**2 - 3*t = 0. What is t?
0, 1, 2
Let p = 3472 + -3472. Suppose p*f + 0*f**2 + 0 - 3/5*f**3 = 0. Calculate f.
0
Let r(b) = -b**2 + 12*b - 27. Let j be r(7). Let g(h) = h**2 - 4*h - 30. Let c be g(j). Factor 2/7*f**5 + 2/7 - 6/7*f + 4/7*f**c + 4/7*f**3 - 6/7*f**4.
2*(f - 1)**4*(f + 1)/7
Find t, given that -5/3*t**2 - 88/3 + 74*t = 0.
2/5, 44
Suppose -2*u - f + 13 = 0, 5*u - 3*f - 2*f = -5. Let -3*c**3 - c**3 - 2*c**u + 2*c**3 = 0. Calculate c.
-1, 0
Let f(a) be the third derivative of 0 + 1/15*a**5 + 0*a + 36*a**2 + 1/84*a**8 - 1/10*a**6 - 2/105*a**7 + 0*a**3 + 1/3*a**4. Factor f(t).
4*t*(t - 2)*(t - 1)*(t + 1)**2
Let y(o) = o**3 - 12*o**2 + 8. Let b be y(12). Suppose i - b = -3*v + 4, 3*v = -4*i + 12. Factor 6/7*u - 2*u**3 - 6/7*u**v - 6/7*u**2 + 4/7.
-2*(u + 1)**3*(3*u - 2)/7
Let -67*y**2 + 7*y**2 - 131*y + 2957 - 5*y - 3021 = 0. Calculate y.
-8/5, -2/3
Let w(u) be the second derivative of -3*u**5/140 + 11*u**4/28 - 16*u**3/7 + 6*u**2 + u - 39. Solve w(g) = 0 for g.
2, 7
Let 0*w**2 - 4/7*w**3 + 2/7*w**5 - 2/7*w**4 + 0 + 0*w = 0. Calculate w.
-1, 0, 2
Solve -24*c + 5 - 37*c**2 + 4 - 37*c**2 + 65*c**2 = 0.
-3, 1/3
Let q(w) be the third derivative of -w**6/540 + 11*w**5/270 - 35*w**4/108 + 25*w**3/27 - 5*w**2 - 7. Factor q(o).
-2*(o - 5)**2*(o - 1)/9
Let z be (6589/1232 - (-20)/(-320)) + 1*5. Factor -z*a**2 - 1536/7 + 3/7*a**3 + 576/7*a.
3*(a - 8)**3/7
Suppose -5*f + 41 = -h - 0*h, -3*f = -3. Let c = h - -37. Factor 1/2*k - c + 1/2*k**2.
(k - 1)*(k + 2)/2
Suppose 42448*p = 42429*p. Solve p + 98/9*w + 2/9*w**3 + 28/9*w**2 = 0 for w.
-7, 0
Let k = 15 + -9. Suppose -k = -2*s + 2. Factor 4*a**4 - 4*a**5 + 36*a**2 - 12*a**4 - 28*a**2 + s*a.
-4*a*(a - 1)*(a + 1)**3
Let k(x) be the second derivative of 0 + 8*x**2 - 11/3*x**4 - 18*x - 6/5*x**5 + 8/3*x**3. Factor k(z).
-4*(z + 2)*(2*z + 1)*(3*z - 2)
Let k(v) = v**5 + v**4 + v**3 - v**2 + 1. Let a(o) = -5*o**3 - 4*o**2 - o**2 - 11*o - 8*o**5 - 11 + 6*o**5 + 7*o**4. Let g(j) = 2*a(j) + 18*k(j). Factor g(p).
2*(p - 1)*(p + 1)**3*(7*p + 2)
Let t = -58466/5 + 11774. Suppose -t*k**2 + 36/5 + 6/5*k + 42/5*k**5 + 112/5*k**3 + 208/5*k**4 = 0. What is k?
-3, -2/7, 1/3, 1
Let t(n) be the third derivative of 0 + 3/64*n**4 + 1/480*n**5 + 0*n + 1/6*n**3 - 44*n**2. What is a in t(a) = 0?
-8, -1
Let s be 10*(6/15 - 0). Suppose f = -4*i + 23, -2*f = f + s*i - 85. What is u in u + f*u**2 - 33*u**2 + 0*u + 4 + u = 0?
-1, 2
Let j(c) = 4*c**2 - 153*c - 117. Let m be j(39). Determine s, given that 3/4*s**2 + m + 3/4*s = 0.
-1, 0
Let d(b) be the first derivative of -3*b**3 - 15/4*b**4 + 12*b - 3/5*b**5 - 33 + 15/2*b**2. Suppose d(r) = 0. What is r?
-4, -1, 1
Let m = -1145/54 + 19/27. Let f = m + 21. Let 3/4*z**3 - 1/4*z**4 - f*z**2 + 0 + 0*z = 0. Calculate z.
0, 1, 2
Let b be (-30)/18*((-49)/35 + -5). Let -b - 32/3*z + 16/3*z**3 - 2/3*z**5 - 2/3*z**4 + 16/3*z**2 = 0. Calculate z.
-2, -1, 2
Let u(s) = -s**2 + s + 1. Let o(a) = 7 - 27*a - 9*