/2 - 285*m**2/4 + 48*m + 55. Solve c(w) = 0.
-32, 1
Suppose 3/2*r**3 + 12*r + 9*r**2 + 0 = 0. Calculate r.
-4, -2, 0
Let h = 50 + -46. Suppose -h*m + 6 = -2*t, t - 9 = 2*m + 4*t. Factor 4/5*p**3 + 0 - 2/5*p + m*p**2 - 2/5*p**5 + 0*p**4.
-2*p*(p - 1)**2*(p + 1)**2/5
Let b(a) be the second derivative of -a**6/270 - a**5/9 - a**4/2 + 8*a**3 - 24*a. Let l(v) be the second derivative of b(v). Factor l(z).
-4*(z + 1)*(z + 9)/3
Let h(l) be the third derivative of -l**5/270 - 11*l**4/108 + 26*l**3/27 + l**2 + 73. Solve h(t) = 0.
-13, 2
Let w(f) be the third derivative of f**6/540 - 2*f**5/45 + 4*f**4/9 + f**3/6 + 16*f**2. Let p(x) be the first derivative of w(x). Factor p(v).
2*(v - 4)**2/3
Let x = -8 + 10. Factor 117 - 61 - 56 - w**x + w**3.
w**2*(w - 1)
Let q(o) be the second derivative of o**7/18 + 8*o**6/45 + 11*o**5/60 + o**4/18 - 224*o. Find c such that q(c) = 0.
-1, -2/7, 0
Find k such that 0 + 1/6*k**3 - 2*k - 40/3*k**4 + 22/3*k**2 - 25/6*k**5 = 0.
-3, -1, 0, 2/5
Suppose 0 = 4*a - 3*m - 24, -4*m = -5*m - 4. Let k be -1 + (-14)/(-7) + (7 - 6). Suppose 0*z + 0 + 24/5*z**a - 12/5*z**k + 3/5*z**5 - 3*z**4 = 0. Calculate z.
0, 1, 2
Let n(a) = -a**3 + 13*a**2 - a + 17. Let c = 14 + -1. Let z be n(c). Factor -z*k + 4*k**2 - 9*k**2 + 4*k**2 - 4.
-(k + 2)**2
Let v(p) = -43*p - 5760. Let c be v(-134). Let -1/5*i**4 - 4/5*i**3 - 2/5*i + 0 - i**c = 0. What is i?
-2, -1, 0
Let l(q) = -28*q**4 - 1531*q**3 - 32252*q**2 + 22016*q - 3698. Let s(h) = 2*h**4 - h**3. Let a(n) = -l(n) - 5*s(n). Find m such that a(m) = 0.
-43, 1/3
Let z(a) be the third derivative of -2*a**7/105 + a**6/15 + 3*a**5/5 - a**4/3 - 16*a**3/3 + 54*a**2. Let z(c) = 0. Calculate c.
-2, -1, 1, 4
Let h(i) be the second derivative of -i**6/5 + 3*i**5/4 + 11*i**4/4 - 7*i**3 - 98*i. Factor h(n).
-3*n*(n - 1)*(n + 2)*(2*n - 7)
Let b(r) = -35*r**2 - 50*r + 70. Let f(v) = v**2 - 5*v - 51. Let x be f(11). Let k(m) = -5*m**2 - 7*m + 10. Let y(u) = x*k(u) - 2*b(u). Solve y(q) = 0 for q.
-2, 1
Let s(f) = -f**2 - f. Let k(n) be the second derivative of 7*n**5/20 - 71*n**4/12 + 76*n**3/3 + 25*n**2 + 3*n. Let o(g) = -5*k(g) + 15*s(g). Factor o(h).
-5*(h - 5)**2*(7*h + 2)
Factor 9*o + 8*o - 1 + o**2 - o - 3*o**3 - 13*o.
-(o - 1)*(o + 1)*(3*o - 1)
Let c(a) be the first derivative of -a**6/720 + a**5/120 - a**4/48 + a**3/3 - 12. Let y(s) be the third derivative of c(s). Find g, given that y(g) = 0.
1
Suppose -4*v + k + 14 = -k, -2*v + 2*k + 8 = 0. Let -v*s**4 - 9*s**2 - 13 - 12*s**3 + 10 - 12*s - 9*s**2 = 0. What is s?
-1
Let o(t) be the first derivative of t**4/8 - t**3/6 - 2*t**2 + 6*t - 64. Solve o(d) = 0 for d.
-3, 2
Let x(c) = -95*c**2 - 90*c + 125. Let q(f) = 24*f**2 + 23*f - 31. Let y(l) = 15*q(l) + 4*x(l). Factor y(u).
-5*(u - 1)*(4*u + 7)
Let j = 7 + -1. Let m = -2 + j. Let -9*l**3 - 3*l**5 + 5*l**4 + 5*l**4 + 3*l**2 + 0*l**2 - l**m = 0. Calculate l.
0, 1
Let d(o) = -o**3 - 4*o**2 - 4*o. Let j be d(-3). Let y be 2*(-35)/98 - (-3 + 2). Factor 4/7*z**2 + 0*z + y*z**j + 0.
2*z**2*(z + 2)/7
Let a(u) be the first derivative of -u**7/42 + u**5/10 - u**3/6 + 6*u - 13. Let z(x) be the first derivative of a(x). Factor z(f).
-f*(f - 1)**2*(f + 1)**2
Let f(z) be the third derivative of 0*z**6 + 0 + 0*z + 1/6*z**5 + 0*z**3 - 5/336*z**8 - 1/21*z**7 + 5/24*z**4 - 15*z**2. Factor f(p).
-5*p*(p - 1)*(p + 1)**3
Suppose 2*v - v = 4*k - 5, 2*v = 3*k. Suppose 36 = 7*z + 5*z. Let -z*j**2 - k + 2 + 1 + 2 = 0. Calculate j.
-1, 1
Let u = -104 + 108. Find l such that -l**3 - 7*l**4 - l**3 + 6*l - 4*l**3 - 9 + 8*l**2 + 8*l**u = 0.
-1, 1, 3
Let o be (-10)/(-4) - (-40)/(-80). Suppose -4*c + 3*d = -2, 0*d + o*d = c + 2. Factor -184/7*s**3 - 132/7*s**4 - 120/7*s**c - 4/7 - 36/7*s**5 - 36/7*s.
-4*(s + 1)**3*(3*s + 1)**2/7
Let v = 19/775 - -253/2325. Factor 2/15*i - v*i**2 - 2/15*i**3 + 2/15.
-2*(i - 1)*(i + 1)**2/15
Let r(q) be the second derivative of q**7/2520 - q**4/12 + 21*q. Let y(p) be the third derivative of r(p). Determine k so that y(k) = 0.
0
Suppose 50 = 39*m - 29*m. Let g(u) be the third derivative of -35/24*u**4 + 0 + 0*u - 5/6*u**3 + 2/3*u**m - 8*u**2. Factor g(r).
5*(r - 1)*(8*r + 1)
Let t(q) be the third derivative of -q**11/22176 + q**10/25200 + 2*q**5/5 - 13*q**2. Let u(y) be the third derivative of t(y). Determine m so that u(m) = 0.
0, 2/5
Factor -50/3*f - 16 - 2/3*f**2.
-2*(f + 1)*(f + 24)/3
Let f be (1 - 15/5) + 3 - -4. Let j = -1 - -6. Let 20*t**3 + 14*t**4 - t**4 + 32*t**4 + 15*t**f - j*t**4 = 0. What is t?
-2, -2/3, 0
Suppose -6*a + 42 = 8*a. Suppose -a*v = 2*m - v - 10, 3*v = 15. Determine w so that 0*w - 2/3*w**4 + m - 2/3*w**3 + 0*w**2 = 0.
-1, 0
Let u = 524 - 522. Determine j, given that -j - 1 - 1/4*j**u = 0.
-2
Let v(q) be the first derivative of 4/9*q**3 - 1/36*q**6 + 1/4*q**4 + 0*q**5 + 0*q + 1 + 1/4*q**2. Factor v(z).
-z*(z - 3)*(z + 1)**3/6
Let d be (221/34)/13 + 6/4. Let t = -9 + 13. Factor -1/9*y**3 + 4/9 - 1/9*y**t - 11/9*y + y**d.
-(y - 1)**3*(y + 4)/9
Let r(g) = -g + 3. Let l be r(-5). Suppose 5*o - 2*h = 2*h - 1, 0 = -3*o - 3*h + 21. Find w such that -28*w**4 + o*w - l*w**3 + 28*w**2 + 9*w - 4*w = 0.
-1, -2/7, 0, 1
Let d(q) = -q - 1. Let w(r) be the third derivative of -r**6/120 + r**5/10 - r**4/6 + 5*r**3/6 - 13*r**2. Let b(j) = -5*d(j) - w(j). Factor b(p).
p*(p - 3)**2
Suppose 0 = -5*i + 25, -3*i + 24 = 3*d - 0*i. Determine q so that 2*q**3 + 2*q**4 - 2*q**d + q**4 - 3*q**2 = 0.
-1, 0, 1
Let j be (-12)/56*(-4928)/528. Determine n, given that 8/7*n**3 + 0*n**4 - 6/7*n - 2/7*n**5 - 4/7 + 4/7*n**j = 0.
-1, 1, 2
Let r be 4/10 + 276/(-540)*-9. Let v(n) be the first derivative of 1/2*n**3 + 1/4*n**6 + 9/8*n**4 - 1 + 0*n**2 + 0*n + 9/10*n**r. Factor v(o).
3*o**2*(o + 1)**3/2
Let c = -6/1687 + 35817/109655. Let i = c + 2/195. Factor -i*a**3 - 1 - 1/3*a**2 + 5/3*a.
-(a - 1)**2*(a + 3)/3
Let s(w) = w**3 + 15*w**2 + 5*w + 77. Let q be s(-15). Find x, given that 4/7 - 2/7*x**3 - 4/7*x**q + 2/7*x = 0.
-2, -1, 1
Let h(o) be the second derivative of o**4/24 + 35*o**3/6 - 71*o**2/4 + 7*o - 1. Factor h(i).
(i - 1)*(i + 71)/2
Let d(r) = -3*r**3 - 14*r**2 + 5*r + 7. Let x(t) = t**3 + 4*t**2 - 2*t - 2. Let s(l) = -2*d(l) - 7*x(l). Factor s(n).
-n*(n - 2)*(n + 2)
Suppose -10*l + 1365 = 1335. Solve 0 + 0*q + 1/3*q**2 + 1/3*q**l = 0.
-1, 0
Let d(w) = 3*w**2 + 25*w + 30. Let x be d(-7). Let o = 1231/3 + -405. Factor -4/3*g**3 + o*g**x - 16/3*g + 0.
-4*g*(g - 2)**2/3
Let b(l) = -5*l + 7. Let a be b(-4). Factor 10*s**2 + 16*s + 37 - 9*s**2 + a.
(s + 8)**2
Let v = 75 - 77. Let z(j) = 11*j**4 + 7*j**3 - 6*j**2 + 3*j - 5. Let o(b) = -5*b**4 - 3*b**3 + 3*b**2 - b + 2. Let m(r) = v*z(r) - 5*o(r). Factor m(a).
a*(a - 1)*(a + 1)*(3*a + 1)
Let k(p) be the second derivative of -p**4/3 + 52*p**3/3 + 32*p. Determine q, given that k(q) = 0.
0, 26
Factor 246 + 77*z + 310 - 3*z**3 + 10*z + 6*z**2 - 646.
-3*(z - 6)*(z - 1)*(z + 5)
Let i(s) be the third derivative of 1/1200*s**6 - 2*s**2 - 1/2100*s**7 + 0*s + 1/600*s**5 - 1/240*s**4 + 0*s**3 + 0. Let i(l) = 0. Calculate l.
-1, 0, 1
Let s(b) = -9*b - 2. Let n(j) = -7*j - 1. Let f(q) = 5*n(q) - 4*s(q). Let d be f(0). Solve 2/3*x**d + 2/9*x**2 - 2/9*x**4 + 0 - 2/3*x = 0.
-1, 0, 1, 3
Let i = 40/33 - -137/132. Factor -i*p - 3/2*p**2 - 3/4.
-3*(p + 1)*(2*p + 1)/4
Let q = 2/649 + 2578/5841. Let w(p) be the second derivative of 2/9*p**3 + q*p**4 - 5/18*p**6 + 4*p + 0 + 0*p**2 + 1/12*p**5. Factor w(d).
-d*(d - 1)*(5*d + 2)**2/3
Let q(k) be the second derivative of 0 + 5/6*k**4 + 1/4*k**5 + 5/6*k**3 + 0*k**2 + 12*k. Let q(r) = 0. Calculate r.
-1, 0
Let s be (-8)/(-12) + (-14)/(-6). Suppose 0 + 3 = 4*r - n, -s*n = 2*r - 19. Factor w**2 - 2*w**2 - w**3 + w + r*w**2 - 1.
-(w - 1)**2*(w + 1)
Suppose -3*p - 5*m + 4*m + 4 = 0, 5*p - 5*m = 20. Determine o, given that -2*o**3 + 4 - 2*o + 2 + 4*o - 30*o**p + 24*o**2 = 0.
-3, -1, 1
Let o be 5*((-16)/(-5) + -3). Let j(h) = 7*h**3 - h**2 + h - 1. Let q be j(o). Determine k, given that -2 + 9*k**2 - 5*k - q*k**2 - 7*k**2 - k**3 = 0.
-2, -1
Let b(o) be the second derivative of o**5/120 - 5*o**4/72 + o**3/9 - 115*o. Factor b(t).
t*(t - 4)*(t - 1)/6
Let x(p) be the second derivative of 3*p**5/20 + 3*p**4/2 + 6*p**3 + 12*p**2 - 357*p. Factor x(v).
3*(v + 2)**3
Let l be 6 + ((-10)/((-400)/(-204)) - (-2)/4). Let -6/5*w**3 + 2/5*w + l*w**2 + 4/5*w**5 - 