-2, 2/11
Let x(u) = 2*u + 82. Let f be x(-39). Suppose 4*v + o = 4, -f*o - 18 = -3*v - o. Factor -3/4*g**v + 0 + 3/4*g.
-3*g*(g - 1)/4
Let p(t) be the first derivative of -t**4/14 + 62*t**3/21 - 32*t**2 - 512*t/7 - 66. Factor p(j).
-2*(j - 16)**2*(j + 1)/7
Let x(f) be the first derivative of -2*f**3/39 + 3*f**2/13 + 8*f/13 + 33. Factor x(y).
-2*(y - 4)*(y + 1)/13
Let v(d) be the first derivative of 2*d**3/39 - 8*d**2/13 - 89. Let v(w) = 0. What is w?
0, 8
Suppose 1578*k - 1580*k + 4 = 0. Let g(x) be the first derivative of 4/5*x**5 + 0*x**4 + 2 + x**k - 4/3*x**3 + 0*x - 1/3*x**6. Factor g(a).
-2*a*(a - 1)**3*(a + 1)
Let l(k) = -k**3 + 4*k**2 - 3*k + 2. Let q be l(3). Suppose -7*j + 9*j = 10. Factor -q*x - x - 11*x**3 - 2*x**4 + 9*x**2 + j*x**4 + 2*x**3.
3*x*(x - 1)**3
Let n be (-6)/14 - 29/(-35). Let g(d) be the first derivative of -n*d - 2/15*d**3 + 2/5*d**2 - 1. Find i such that g(i) = 0.
1
Suppose -4*g = -2*g, -4*g - 2 = 2*k. Let y(f) = f**2 + f. Let i(h) = h**3 - 6*h**2 - h. Let w(b) = k*i(b) - 3*y(b). Solve w(d) = 0.
0, 1, 2
Find h such that 10/13*h**3 + 0 - 42/13*h + 2/13*h**4 - 34/13*h**2 = 0.
-7, -1, 0, 3
Let t = 2/28423 - -85259/142115. Solve 24/5*s + 0 - 3*s**4 - 18/5*s**3 + 12/5*s**2 - t*s**5 = 0.
-2, 0, 1
Factor -48*n + 1084 - 988 + 4*n + 4*n**2.
4*(n - 8)*(n - 3)
Let j be (-1 - 0)*(-76)/(-19) - -145. Let m = j - 141. Factor 0 - 2/9*b**5 + 4/9*b**2 - 4/9*b**4 + m*b**3 + 2/9*b.
-2*b*(b - 1)*(b + 1)**3/9
Let k(q) be the first derivative of 2/9*q**3 + 8/3*q - 29 - 4/3*q**2. Factor k(n).
2*(n - 2)**2/3
Let k(q) = -40*q + 1003. Let x be k(25). Determine h, given that 5/7*h**4 - 11/7*h + 2/7 - 17/7*h**x + 3*h**2 = 0.
2/5, 1
Factor 10*d - d**2 + 5*d**3 + 7*d**2 - 5*d**3 + 2*d**2 - 2*d**3.
-2*d*(d - 5)*(d + 1)
Suppose -2*p + g + 9 = 0, 0 = -5*p - 0*g + g + 15. Factor -31*q - 7 + 10*q + 2*q**2 + 37 + q**p.
3*(q - 5)*(q - 2)
Let d(h) = -6*h**2 + 13*h - 3. Let a(z) = -48*z**2 + 52*z + 46*z - 48*z + 55*z - 24. Let n(t) = -4*a(t) + 33*d(t). Factor n(k).
-3*(k - 1)*(2*k - 1)
Suppose 1548*u + 10*u**3 + u**2 - 2*u**4 - 1564*u - 5*u**2 = 0. What is u?
-1, 0, 2, 4
Let i(d) = 20*d**3 + 1. Let q(v) = 21*v**3 - v + 1. Let s(n) = -4*i(n) + 3*q(n). Let x be s(-2). Find z such that 3*z**2 + 6*z - 6*z**3 - x - 3*z**4 + 141 = 0.
-2, -1, 0, 1
Let p(l) be the first derivative of l**3 - 6*l + 3/2*l**2 - 2. Solve p(t) = 0 for t.
-2, 1
Let f = -1216777824/721 + 1687625. Let z = 1/103 - f. Solve 2/7*d - z*d**2 + 0 = 0 for d.
0, 1
Let q be (-186)/(-2850) + 3/75. Factor -6/19 - q*n**3 - 14/19*n - 10/19*n**2.
-2*(n + 1)**2*(n + 3)/19
Let y(z) = z**4 + z - 2. Let k(w) = 6*w**4 - 7*w**3 - 5*w**2 + 14*w - 8. Let g(i) = 5*k(i) - 35*y(i). Factor g(s).
-5*(s - 1)*(s + 1)**2*(s + 6)
Suppose 129 = -8*o + 129. Let j(c) be the second derivative of 0 + 0*c**3 - 2/5*c**5 + 1/15*c**6 + c + o*c**2 + 2/3*c**4. Solve j(s) = 0 for s.
0, 2
Factor 435/2*s + 5/4*s**2 + 37845/4.
5*(s + 87)**2/4
Suppose 4*t = 4*d - 8, -d = -0 - 2. Let n be 0*((-21)/6)/7. Factor 0 - 1/2*q**3 + t*q + n*q**2 + 1/2*q**4.
q**3*(q - 1)/2
Let b(d) = -65*d**2 + 925*d. Let i(p) = -3*p**2 + 42*p. Let r(o) = -2*b(o) + 45*i(o). Solve r(g) = 0.
0, 8
Let o be 9/63 - 6/42. Let u(k) be the third derivative of 0*k + o - 11*k**2 - 1/132*k**4 - 2/33*k**3 + 1/165*k**5 + 1/660*k**6. Suppose u(q) = 0. What is q?
-2, -1, 1
Let j(w) be the first derivative of 3*w**4/4 + 22*w**3/3 + 25*w**2/2 + 6*w + 43. Solve j(g) = 0 for g.
-6, -1, -1/3
Let o(p) be the third derivative of 0*p - 1/16*p**4 + 1/120*p**5 - 17*p**2 + 0 - 5/6*p**3. Factor o(t).
(t - 5)*(t + 2)/2
Let v(o) = 8*o**4 + 45*o**3 + 4*o**2 - 42*o - 12. Let c(y) = y**4 + y**3 - y**2 + 2*y. Let u(w) = 5*c(w) - 5*v(w). Let u(x) = 0. Calculate x.
-6, -1, -2/7, 1
Let z(q) = -q**4. Let c(t) = -24*t**4 - 32*t**3 - 64*t**2. Suppose v = -3*r + 3, v - 1 = -r - 3*v. Let l(d) = r*c(d) - 20*z(d). Factor l(b).
-4*b**2*(b + 4)**2
Let v(k) be the third derivative of k**8/12600 + k**7/1800 + k**6/600 + 3*k**5/20 + 11*k**2. Let b(h) be the third derivative of v(h). Solve b(p) = 0 for p.
-1, -3/4
Let c(i) = 9*i**4 - 135*i**3 + 1713*i**2 - 4227*i + 2652. Let w(u) = 26*u**4 - 405*u**3 + 5138*u**2 - 12680*u + 7955. Let q(k) = 17*c(k) - 6*w(k). Factor q(l).
-3*(l - 21)**2*(l - 2)*(l - 1)
Let a be (-5)/(45/(-2)) + 157718/(-1386). Let v = 114 + a. Factor 0 + 3/7*s - v*s**2.
-3*s*(s - 1)/7
Let o(i) be the second derivative of -i**5 - 14*i**4/3 + 2*i**3 - 76*i - 1. Let o(h) = 0. Calculate h.
-3, 0, 1/5
Factor -36*x**2 + 285 + 65*x + 115 + 55*x + 0*x**3 + 2*x**3.
2*(x - 10)**2*(x + 2)
Suppose -4*l - 5*q = -3*q - 4, 0 = -4*l + 2*q + 12. Factor -70*n + 33*n + 2*n**l + n**3 + 38*n.
n*(n + 1)**2
Let m be ((-45)/(-75))/(((-2)/20)/(-1)). Let j = -15 - -28. Suppose 8 - 16*l**2 - j*l**2 - 6*l**2 + m*l = 0. What is l?
-2/5, 4/7
Let w = 2573/15 + -514/3. Determine p, given that w*p + 1/10*p**2 + 0 - 1/10*p**3 = 0.
-1, 0, 2
Suppose -4*t = 2*t - 18. Let a(g) be the second derivative of -3*g - 1/20*g**5 - 1/3*g**2 + 0 + 1/18*g**t + 1/9*g**4. Factor a(y).
-(y - 1)**2*(3*y + 2)/3
Let b(s) be the first derivative of s**6/6 + 2*s**5/5 - s**4 - 2*s**3/3 + 3*s**2/2 - 62. Suppose b(p) = 0. What is p?
-3, -1, 0, 1
Let u(w) be the third derivative of -w**5/60 - w**4/24 - 8*w**2. Let v(z) = -14*z**2 - 30*z. Let i(b) = -10*u(b) + v(b). Factor i(a).
-4*a*(a + 5)
Let l(m) be the second derivative of -m**4/8 + 3*m**3/2 + 81*m**2/4 - 4*m + 43. What is k in l(k) = 0?
-3, 9
Let f(g) be the third derivative of g**8/2856 + g**7/595 + g**6/340 + g**5/510 - g**2 - 18. Suppose f(m) = 0. Calculate m.
-1, 0
Factor 49/2 + 1/2*r**2 - 7*r.
(r - 7)**2/2
Let l(q) be the third derivative of -q**8/35280 + q**7/4410 - q**6/1260 - 3*q**5/20 + 5*q**2. Let u(t) be the third derivative of l(t). Factor u(f).
-4*(f - 1)**2/7
Let a be 0 + 0 - 2/(12/(-3)). Let r(p) = -p**2 + 29*p - 152. Let n be r(7). Find o, given that 1/6*o + a*o**n - 1/3 = 0.
-1, 2/3
Let p(a) = 3 - 4*a**3 + 6*a**2 + 2*a**3 + 1 + 6*a. Let j(x) = x**2. Suppose -12*r + 44 + 28 = 0. Let f(h) = r*j(h) - p(h). Let f(u) = 0. What is u?
-1, 2
Let c be 180/54*(-6)/(-5). Factor 7*i**2 + 61*i**c - 22*i**2 + 16 - 62*i**4 + 8*i**3 - 8*i.
-(i - 4)**2*(i - 1)*(i + 1)
Let u(g) = -34*g + 4. Let c be u(1). Let x be 12/(-10) - -1 - 6/c. Suppose 2/7*v + 1/7*v**3 - 3/7*v**2 + x = 0. Calculate v.
0, 1, 2
Let x(y) be the first derivative of -21*y**4/4 + 180*y**3 - 3393*y**2/2 - 1014*y - 423. Find o, given that x(o) = 0.
-2/7, 13
Let l be 3 + (-15)/(-7) + (2 - 7). What is g in -l*g**4 - 1/7 + 0*g + 2/7*g**2 + 0*g**3 = 0?
-1, 1
Let y be (-6)/(-45) + 9440/75. Factor 39 - 27*p**3 - 20*p - 27 - 55*p + y*p**2.
-3*(p - 4)*(3*p - 1)**2
Find l such that 676*l - 636*l + 44*l**2 + 7*l**4 - 19*l**4 - 8*l**3 = 0.
-5/3, -1, 0, 2
Let x(w) be the first derivative of 2/3*w + 13 - 1/12*w**4 + 1/30*w**5 + 1/3*w**2 - 1/6*w**3. Factor x(m).
(m - 2)**2*(m + 1)**2/6
Let o(u) be the first derivative of -u**7/1470 + u**6/840 + u**5/140 - u**4/168 - u**3/21 + u**2 + 10. Let c(b) be the second derivative of o(b). Factor c(w).
-(w - 2)*(w - 1)*(w + 1)**2/7
Let q = 2523 + -2521. Factor -8*g**4 + 0*g - 11/2*g**3 - 7/2*g**5 + 0 - g**q.
-g**2*(g + 1)**2*(7*g + 2)/2
Suppose 5*d + 68 = d. Let y = 19 + d. Factor -4 + 2*c - 3 - 2 - 8*c - c**y.
-(c + 3)**2
Suppose -a = -5*a + 8. Factor -16*k**4 + 6*k**a + 8*k + 13*k**3 + 30*k**2 - k**3.
-4*k*(k - 2)*(k + 1)*(4*k + 1)
Let g(i) = -6*i**2 - i**3 + 4 + 8*i + i**2 - i**2 + 6. Let b be g(-7). Find m, given that m**2 + m**5 + 2*m**2 - b*m**3 + 0*m**4 + 2*m - 2*m**2 - m**4 = 0.
-1, 0, 1, 2
Let z(q) be the third derivative of -107*q**5/100 - 113*q**4/120 - q**3/15 - 70*q**2. Suppose z(o) = 0. Calculate o.
-1/3, -2/107
Solve 72/5 - 3/5*p**5 - 27/5*p**3 + 24/5*p**4 - 66/5*p**2 + 12*p = 0 for p.
-1, 2, 6
Let m(l) = -3*l**3 - 3*l**2 + 7*l - 1. Let s be (-7)/(-3) - 4/(-6). Suppose -s*y = -8*y + 5. Let f(g) = g**3 - g. Let o(b) = y*m(b) + 4*f(b). Factor o(u).
(u - 1)**3
Let q(d) be the first derivative of 5*d**6/12 + 24*d**5/5 + 20*d**4 + 33*d**3 + 27*d**2/4 - 27*d - 18. Let q(u) = 0. What is u?
-3, -1, 2/5
Suppose 13*n - 15 = 11. Factor 5*c**3 + 30*c**2 + 34*c + 190 - 65 + 25*c**n + 141*c.
5*(c + 1)*(c + 5)**2
Let y(l) = -6*l**3 - 42*l**2 - 31*l + 5. Let z(f) be the first derivative of -3*f**4/4 - 7*f