*m + 2)/7
Let w(c) be the first derivative of c**5/5 - c**4/4 - 2*c**3/3 + 67. Factor w(g).
g**2*(g - 2)*(g + 1)
Factor -7*h + 10*h**3 - 18 - 3*h**3 + 7*h**2 + 8*h**2 + 10*h**2 - 7*h**2.
(h - 1)*(h + 1)*(7*h + 18)
Let j = 84 + -81. Suppose -3*v + 6 = j*b, 0 = -4*b - 0*v + 3*v + 15. Find t such that -6/11*t**b + 0 + 2/11*t**4 + 4/11*t**2 + 0*t = 0.
0, 1, 2
Determine g, given that 0 + 8/3*g**2 - 8/3*g**4 + g**5 - 2*g**3 + g = 0.
-1, -1/3, 0, 1, 3
Let w(z) be the first derivative of -5*z**4/22 - 46*z**3/33 - 20*z**2/11 + 24*z/11 - 137. Find u, given that w(u) = 0.
-3, -2, 2/5
Let u(j) = -7*j**2 + 27*j + 32. Let c(t) = 190*t**2 - 730*t - 865. Let m(l) = -2*c(l) - 55*u(l). Factor m(b).
5*(b - 6)*(b + 1)
Let y(d) be the first derivative of 2*d**5 - 15*d**4/4 + 5*d**3/6 + 6*d - 1. Let a(f) be the first derivative of y(f). Let a(m) = 0. What is m?
0, 1/8, 1
Let x(b) be the second derivative of -b**6/330 + b**5/44 + b**4/11 - 2*b**3/3 - 40*b**2/11 - 38*b - 4. Let x(r) = 0. Calculate r.
-2, 4, 5
Suppose -3*c - 11 - 40 = 0. Let l = c - -88/5. Factor -1/5*v**5 + 0 + 0*v - l*v**3 + 1/5*v**2 + 3/5*v**4.
-v**2*(v - 1)**3/5
Let y = 18 + -16. Factor -2*f - 26*f**y - 26*f**2 + 50*f**2 - 2 - 2*f.
-2*(f + 1)**2
Suppose -53 = 20*y - 113. Determine n so that -18/13 + 2/13*n**5 - 18/13*n**4 - 92/13*n**2 + 66/13*n + 60/13*n**y = 0.
1, 3
Let k = -1/20 + 7/20. Let t(x) be the first derivative of -15*x**2 - 9*x**3 - 12*x - 6 - k*x**5 - 21/8*x**4. Factor t(a).
-3*(a + 1)*(a + 2)**3/2
Let w be (-2 + 65/(-25) - -5)/((-1)/(-5)). What is n in 1/2*n - 1/2*n**4 + 1/2*n**w + 0 - 1/2*n**3 = 0?
-1, 0, 1
Factor 105*k + 7*k**2 + k**3 - 29*k**3 - 5*k**4 - 7*k**3 + 78*k**2 + 10*k**3.
-5*k*(k - 3)*(k + 1)*(k + 7)
Let y(o) = -45*o**2 + 4600*o - 264550. Let h(r) = 11*r**2 - 1150*r + 66137. Let f(z) = 25*h(z) + 6*y(z). Factor f(i).
5*(i - 115)**2
Let m(x) be the first derivative of x**4/4 + 5*x**3/2 + 9*x**2 + 35*x + 34. Let g(d) be the first derivative of m(d). Factor g(h).
3*(h + 2)*(h + 3)
Let f(n) be the second derivative of 7*n + 0 + 1/5*n**2 + 1/60*n**4 + 1/10*n**3. Solve f(s) = 0.
-2, -1
Find u, given that 0 + 12*u - 3/2*u**3 + 3*u**2 = 0.
-2, 0, 4
Let u = 18 - 14. Factor u*g - 8*g**2 + 7 - 1 - 2.
-4*(g - 1)*(2*g + 1)
Let o be ((-168)/(-140))/(-1*78/30 - -3). Factor -1/4*n**4 + 1/2*n**2 - 1/4 + 0*n**o + 0*n.
-(n - 1)**2*(n + 1)**2/4
Let v(q) = -q**5 + q**2 + q. Let j(n) = 6*n**5 + 10*n**4 - 60*n**3 - 41*n**2 + 159*n. Let p(g) = -j(g) - v(g). Let p(k) = 0. What is k?
-4, -2, 0, 2
Let y be (-6)/12*-1*28/7. Let n(z) be the first derivative of -4/5*z**5 + 4*z**y + 0*z - 1 - 20/3*z**3 + 4*z**4. Let n(x) = 0. Calculate x.
0, 1, 2
Solve -11/4*b + 3/2*b**2 + 3/2 - 1/4*b**3 = 0 for b.
1, 2, 3
Find o, given that 2 + 6 + 20*o**2 - 6 - 18*o**2 - 4*o = 0.
1
Let l be (-2)/(-7) - 640/35. Let h be ((-4)/15)/(-2) + l/135. Factor h + v + 1/2*v**2.
v*(v + 2)/2
Suppose -2 = 5*y - 12. Let -2*g**3 - y*g + g + 11*g**2 - 14*g**2 = 0. Calculate g.
-1, -1/2, 0
Let v be (-15)/((-1170)/143) + -3 + (-95)/(-30). Let -2/3*i**v + 64/3*i - 512/3 = 0. What is i?
16
Let d(z) be the second derivative of -z**5/130 + z**4/39 - z - 4. Determine s so that d(s) = 0.
0, 2
Let f(p) = -3*p + p**2 + 0*p - 2 + 0*p**2 - 3. Let y be f(-2). Factor 0 + 0*d**3 - 2/3*d**4 + 1/3*d + 2/3*d**2 - 1/3*d**y.
-d*(d - 1)*(d + 1)**3/3
Let w be 7348/(-14) - 8/56. Let d be ((-2)/15*-3)/((-280)/w). Factor -3/4*i**3 + 0 - d*i - 3/2*i**2.
-3*i*(i + 1)**2/4
Let o be 0 - (-7 - (4/(-4))/1). Let i(b) = -b**2 - 4*b - 1. Let g(n) = -n. Let h(s) = o*g(s) - i(s). Suppose h(l) = 0. Calculate l.
1
Suppose 3*l - 5*s = -0*s - 13, 2*s - 10 = 0. Let z be 0 + (l - (2 + -1)). Factor -16/13 + 4/13*b**2 - 8/13*b + 2/13*b**z.
2*(b - 2)*(b + 2)**2/13
Let v(i) be the first derivative of -3*i**5/5 + 3*i**4/2 + 3*i**3 - 12*i**2 + 12*i + 82. Factor v(r).
-3*(r - 2)*(r - 1)**2*(r + 2)
Let o = 59491/9290 + -7/1858. Factor 0*v**2 + 0*v**4 + o*v - 16/5*v**3 + 0 + 2/5*v**5.
2*v*(v - 2)**2*(v + 2)**2/5
Let y be 4/(-48)*-4 + 30/18. Factor -89*l**y - 26*l**3 - 2*l**4 + 16*l**2 - 72*l - 23*l**2.
-2*l*(l + 1)*(l + 6)**2
Let t = -45 - 35. Let r = t - -401/5. Let -2/5*l + 3/5 - r*l**2 = 0. What is l?
-3, 1
Factor 7*h**4 - 4*h**4 - 13*h**2 + 30*h**3 + 6*h**2 - 26*h**2.
3*h**2*(h - 1)*(h + 11)
Let u(l) be the second derivative of -l**7/336 - l**6/120 + 3*l**5/160 - 11*l + 4. Determine m so that u(m) = 0.
-3, 0, 1
Suppose -12/5*m - 9/5*m**3 + 24/5*m**2 + 0 - 6/5*m**4 + 3/5*m**5 = 0. Calculate m.
-2, 0, 1, 2
Suppose -6*i = -15*i + 18. Factor -6 + l + 4*l - i*l + 2*l**2 + l.
2*(l - 1)*(l + 3)
Find t such that -6*t + 4*t**5 + 8*t - 20*t**4 - 28*t**2 - 50*t**3 + 86*t**3 + 6*t = 0.
0, 1, 2
Let z(m) = -18*m**5 - 6*m**4 - 54*m**3 - 60*m**2 - 39*m - 15. Let i(n) = -n**5 + n**4 - n - 1. Let y(o) = -15*i(o) + z(o). Solve y(x) = 0.
-2, -1, 0
Let p be 2/(-3)*650/(-260). Solve 19/9*i**3 - 2/9 + 7/9*i**4 + 1/9*i + p*i**2 = 0 for i.
-1, 2/7
Let q(p) be the first derivative of p**6/210 + p**5/70 - p**4/84 - p**3/21 - 3*p + 6. Let j(k) be the first derivative of q(k). Factor j(i).
i*(i - 1)*(i + 1)*(i + 2)/7
Let h(i) be the first derivative of -2*i**6/21 - 22*i**5/35 - 9*i**4/7 - 16*i**3/21 + 4*i**2/7 + 6*i/7 + 671. Let h(w) = 0. What is w?
-3, -1, 1/2
Let p be 3*5/12 - 54/(-72). Determine a so that 1/3*a**p + 0*a - 1/3 = 0.
-1, 1
Solve 0 + 215/2*k + 5/4*k**2 = 0 for k.
-86, 0
Let d = -34 - -39. Suppose -4*y + 0 + 8 = 0. Factor -2*p**5 - 3*p**3 + 2*p + 6*p**5 - 3*p**d - 3*p**2 + y*p**2 + p**4.
p*(p - 1)**2*(p + 1)*(p + 2)
Let f(a) = -a**2 - 1. Let k(h) = -4*h**2 - 11*h - 9. Let x(q) = -5*f(q) + k(q). Let s be x(12). Factor -3 - s*v**2 - 1 - 11*v**2 - 6*v + 17*v**2.
-2*(v + 1)*(v + 2)
Let v(d) be the second derivative of d**7/21 + 11*d**6/5 - 37*d**5/10 - 97*d**4/6 + 56*d**3 - 68*d**2 - 916*d. Solve v(p) = 0 for p.
-34, -2, 1
Suppose 0 = -6*s + 12 - 0. Let b(i) be the first derivative of 4 + 3*i**s + 32/3*i**3 + 8/5*i**5 - 4*i + 15/2*i**4. Factor b(n).
2*(n + 1)**2*(n + 2)*(4*n - 1)
Let y(q) be the first derivative of -5*q**3 + 220*q**2 - 1260*q - 22. Let p(o) = 2*o**2 - 63*o + 180. Let t(i) = -20*p(i) - 3*y(i). Let t(b) = 0. Calculate b.
6
Suppose 9047*n = 9049*n. What is h in 2/7*h**3 - 6/7*h**2 + n - 8/7*h = 0?
-1, 0, 4
Let s(n) be the first derivative of -n**6/12 + n**5/10 + 5*n**4/8 - 5*n**3/6 - n**2 + 2*n + 81. Determine q, given that s(q) = 0.
-2, -1, 1, 2
Let t(y) be the second derivative of -y**7/147 + 2*y**6/105 + 4*y**5/35 - 3*y**4/7 + 3*y**3/7 + 8*y - 4. Find n such that t(n) = 0.
-3, 0, 1, 3
Solve 8 + 28*l**5 + 99*l**4 - 278*l**4 + 16*l**3 + 56*l**2 + 115*l**4 - 44*l = 0.
-1, 2/7, 1
Let c = 2151/604 + -198/151. Suppose -1/4 + r**3 - c*r**2 + 3/2*r = 0. Calculate r.
1/4, 1
Let l(u) be the third derivative of -u**5/5 - 14*u**4/3 + 40*u**3/3 - 29*u**2. Factor l(f).
-4*(f + 10)*(3*f - 2)
Suppose 4/11 + 8/11*m**2 - 10/11*m - 2/11*m**3 = 0. Calculate m.
1, 2
Let v be (-12)/18 - 22/(-6). Suppose -c - 15 = -3*l - v*c, l + 12 = 5*c. Factor -x**4 - x**5 - 2 - x + 4 + 2*x**2 + 2*x**l - 3.
-(x - 1)**2*(x + 1)**3
Factor -6 - 31*y - 2*y**3 + 11*y + 6*y**2 + 6*y + 16*y.
-2*(y - 3)*(y - 1)*(y + 1)
Let v = 1490 - 1490. Suppose v - 16/3*o**5 + 4/3*o**4 - 2/3*o + 6*o**3 - 4/3*o**2 = 0. What is o?
-1, -1/4, 0, 1/2, 1
Suppose 5*x - 292 - 210 = -2*b, 3*b - 719 = x. Let r = -1203/5 + b. Factor -2/15 - r*g**2 + 8/15*g.
-2*(g - 1)*(3*g - 1)/15
Let x be -15*((-32)/5 + 6). Let d(f) be the second derivative of -1/105*f**x + 0*f**4 + 0 - 2/21*f**3 - 5*f + 1/35*f**5 + 1/7*f**2. What is t in d(t) = 0?
-1, 1
Let s(l) = -3*l - 7. Let p be s(-4). Let a(j) be the first derivative of 2/3*j**2 + 2/3*j - 2/15*j**p + 2 + 0*j**3 - 1/3*j**4. Factor a(f).
-2*(f - 1)*(f + 1)**3/3
Suppose 0*y - 1/2*y**2 + 63/4*y**3 + 0 - 31/4*y**4 = 0. Calculate y.
0, 1/31, 2
Let z be 3 + (6 + 3)/(-3). Suppose 20 + z = c. Factor -5*w**2 - w**2 - 3 - 3 - c*w.
-2*(w + 3)*(3*w + 1)
Let t(r) be the first derivative of 0*r + 1/6*r**2 + 1/3*r**3 + 1/4*r**4 + 2 + 1/15*r**5. Let t(c) = 0. Calculate c.
-1, 0
Let t = -42 - -68. Find x such that 33*x + t*x - 69*x - 27*x**2 - 5*x**3 = 0.
-5, -2/5, 0
Let b(v) be the first derivative of -v**3/5 + 39*v**2/10 - 36*v/5 + 113. Suppose b(s) = 0. Calculate s.
1, 12
Let x(i) = i + 66 - 66 - i**2. Let b be 2 - (-4 