4*v**4 - 14*v + 0*v**2. Let r(d) be the first derivative of p(d). Factor r(u).
-3*u**2
Let z(b) be the third derivative of b**5/75 + b**4/10 + b**2 + 23. Determine c so that z(c) = 0.
-3, 0
Let z = -31960/117 + -391/234. Let r = z - -275. Determine p, given that -1/3*p + 1/6*p**3 - r*p**2 + 0 = 0.
-1, 0, 2
Factor 40*n**2 + 0 - 32/3*n + 2/3*n**4 + 21/2*n**3.
n*(n + 8)**2*(4*n - 1)/6
Let a = -88 - -105. Factor 18*y**4 - a*y**4 + y**2 - 2*y**2.
y**2*(y - 1)*(y + 1)
Let z be (-2)/8 + 11/(528/76). Find k, given that z - 64/3*k + 256/3*k**2 = 0.
1/8
Let x(c) = 12*c**3 + 120*c**2 + 276*c + 168. Let f(t) = 3*t**3 + 30*t**2 + 69*t + 42. Let i(j) = 9*f(j) - 2*x(j). Let i(d) = 0. Calculate d.
-7, -2, -1
Solve -106/3 - 35*f + 1/3*f**2 = 0.
-1, 106
Factor a**4 - 21*a**3 + 2*a**2 + 49*a**2 + 104*a + 9*a**2 + 64 + 35*a**3.
(a + 2)**3*(a + 8)
Let x(w) be the third derivative of 2*w**2 + 1/12*w**4 + 0 + 0*w + w**3 + 1/360*w**6 - 1/40*w**5. Let k(c) be the first derivative of x(c). Solve k(i) = 0.
1, 2
Let a(w) be the second derivative of -335*w**6/6 + 57*w**5/4 + 541*w**4/6 + 50*w**3 + 4*w**2 + 178*w. Find q such that a(q) = 0.
-2/5, -2/67, 1
Let h(p) be the third derivative of -11*p**2 + 1/70*p**5 + 0 + 0*p**3 - 1/420*p**6 + 0*p - 1/42*p**4. Determine t so that h(t) = 0.
0, 1, 2
Suppose -5*p - 16 = 3*x, 4*x + 3*p + 12 = 3*x. Determine u, given that u**2 + x*u**2 - 4*u**4 + 4*u - 140*u**3 + 136*u**3 = 0.
-1, 0, 1
Suppose -2*k = 3*k - 10. Let s(i) = 3*i**2 - 4*i + 3. Let g be s(k). Factor 6*r - r**2 + 5 - 3 - g*r.
-(r - 1)*(r + 2)
Suppose 7*b + b = -24. Let j be 0/(-2*b/(-3)). Let 2/11*l**3 - 2/11*l + j + 2/11*l**4 - 2/11*l**2 = 0. What is l?
-1, 0, 1
Suppose -b = 3*z - 294, -3*z + 3*b + 490 = 2*z. Factor -36*n + 3*n**2 - z + 116 + 144 - n**2.
2*(n - 9)**2
Factor 1/4*z**4 - 1/4 - 1/2*z + 1/2*z**3 + 0*z**2.
(z - 1)*(z + 1)**3/4
Find w such that -19758 + 110*w**2 + 17*w**5 - 20*w**5 + 19758 + 50*w**4 - 197*w**3 = 0.
0, 2/3, 5, 11
Let l(p) be the second derivative of -p**7/42 + p**6/30 + p**5/20 - p**4/12 + p + 138. Factor l(j).
-j**2*(j - 1)**2*(j + 1)
Factor 0 - 1/2*l**3 + 47/2*l + 23*l**2.
-l*(l - 47)*(l + 1)/2
Solve -4/3*c**4 + 0 + 9*c**3 - 1/3*c**5 + 16/3*c - 38/3*c**2 = 0.
-8, 0, 1, 2
Let w(d) = -12*d**2 - 45*d + 9. Let u(h) = 1 - 3*h**2 + 1 + 83*h - 94*h. Let l(f) = 9*u(f) - 2*w(f). Factor l(x).
-3*x*(x + 3)
Let w = -5 - -8. Let l = w - 0. Find i such that -2*i**2 - l*i + 0*i**2 + i**2 + 0*i = 0.
-3, 0
Suppose 12/17 + 14/17*r + 2/17*r**2 = 0. Calculate r.
-6, -1
Let h be (-5921)/1337 - (16/(-3) - 2/(-6)). Determine v so that 8/7 - 8/7*v**2 + 4/7*v**3 - h*v = 0.
-1, 1, 2
Factor 1/4*c**3 - 3/2*c**2 + 11/4*c - 3/2.
(c - 3)*(c - 2)*(c - 1)/4
Solve 1/8*h**3 + 0 - 1/2*h**2 + 3/8*h = 0 for h.
0, 1, 3
Let u(n) be the third derivative of -n**5/120 + 27*n**4/16 - 20*n**3/3 - 77*n**2. Factor u(y).
-(y - 80)*(y - 1)/2
Let r(y) be the first derivative of -2*y**3/9 - 25*y**2/3 - 16*y - 4. Factor r(a).
-2*(a + 1)*(a + 24)/3
Let i(v) be the third derivative of v**5/30 + 2*v**2. Suppose -12*s = -27 - 21. Let m(d) = d**3 + 5*d**2. Let j(r) = s*m(r) - 10*i(r). Factor j(q).
4*q**3
Factor 0 - 2/11*q**4 + 12/11*q**3 - 24/11*q**2 + 16/11*q.
-2*q*(q - 2)**3/11
Let q(s) be the second derivative of -38*s - 5/6*s**3 + 0 - 5/48*s**4 + 25/8*s**2. Factor q(m).
-5*(m - 1)*(m + 5)/4
Let u(i) = i**2 + 8*i - 7. Suppose 0*w = 4*w + 36. Let d be u(w). Factor 2*g**d + 0*g**3 - 2*g + 0 - 2 + 2*g**3.
2*(g - 1)*(g + 1)**2
Let p be (3/56*2)/((-801)/(-3560)). Let y(f) be the first derivative of -1/7*f**4 + 3 + 0*f - p*f**3 - 2/7*f**2. Factor y(q).
-2*q*(q + 2)*(2*q + 1)/7
Suppose 2*z = -2*z, 2*z - 6 = -3*k. Factor 6*g**2 - 4*g**2 + 12*g + k*g**2 + 12 - g**2.
3*(g + 2)**2
Let m(j) be the third derivative of j**7/525 + j**6/150 - j**5/50 - 56*j**2. Factor m(k).
2*k**2*(k - 1)*(k + 3)/5
Let t(y) = -y**4 - 8*y**3 + 13*y**2 + 29*y. Let r(h) = h**4 - h**2 - h. Let b(q) = -3*r(q) + t(q). Factor b(u).
-4*u*(u - 2)*(u + 2)**2
Let c(i) = -16*i**4 + 86*i**3 - 196*i**2 + 184*i - 72. Let v(f) = -5*f**4 + 28*f**3 - 65*f**2 + 62*f - 24. Let k(s) = -2*c(s) + 7*v(s). Factor k(g).
-3*(g - 4)*(g - 2)*(g - 1)**2
Suppose 2*t - 109*y + 108*y = 2, 4*y = -5*t + 18. Factor 2/3*m**5 - 2*m + t*m**4 - 2/3 + 4/3*m**3 - 4/3*m**2.
2*(m - 1)*(m + 1)**4/3
Solve 786*t - 96*t**3 - 861*t**2 + 243*t**3 - 66*t + 1728 = 0.
-1, 24/7
Let k(s) = -s**2 + 276*s + 2*s**2 + 3 - 118*s - 117*s. Let q be k(-41). Solve 0 - 1/2*t**q - t**2 + 0*t = 0.
-2, 0
Find q such that 10*q**3 + 11*q**3 - 20*q**3 - q**5 = 0.
-1, 0, 1
Let a(c) be the third derivative of 5*c**8/336 - c**7/14 - c**6/24 + 11*c**5/12 - 5*c**4/2 + 10*c**3/3 + 197*c**2. Determine g so that a(g) = 0.
-2, 1, 2
Suppose 6*i = 9*i - 12. Factor 64*x**2 - 4 - 12*x**4 - 12*x**3 - 60 - 4*x**3 + i*x**5.
4*(x - 2)**3*(x + 1)*(x + 2)
Let n(m) be the first derivative of -m**6/180 - m**5/60 + m**4/6 - 3*m**3 - 20. Let k(t) be the third derivative of n(t). What is y in k(y) = 0?
-2, 1
Let a(m) be the second derivative of 20/3*m**3 - 50*m**2 + 8*m + 0 - 1/3*m**4. Find k such that a(k) = 0.
5
Let n(h) be the first derivative of h**7/1260 - h**5/180 - 2*h**3 + 2. Let g(x) be the third derivative of n(x). Solve g(j) = 0.
-1, 0, 1
Determine q, given that -8 - 2/3*q**3 + 2*q**2 + 8/3*q = 0.
-2, 2, 3
Let k = 8 - 5. Suppose 0 = 4*p - 5*o - 123, k*o + o = -p + 15. Find d such that -p*d**2 - 9*d**2 - 3*d**4 - 30*d - 18*d**3 - 33 + 24 = 0.
-3, -1
Let r(j) be the third derivative of j**8/112 + j**7/70 - j**6/40 - j**5/20 - 7*j**2 - 3. Solve r(k) = 0.
-1, 0, 1
Let b(s) be the third derivative of -5/32*s**4 - 1/160*s**5 + 0*s + 11*s**2 + 0 - 25/16*s**3. Factor b(h).
-3*(h + 5)**2/8
Let a(p) be the third derivative of -p**6/24 - 5*p**5/6 + 55*p**4/24 - 2*p**2 - 41. Factor a(c).
-5*c*(c - 1)*(c + 11)
Let c(t) = t**3 + 34*t**2 + 232*t + 67. Let w be c(-9). Factor -2/3 + j - j**3 + 1/3*j**2 + 1/3*j**w.
(j - 2)*(j - 1)**2*(j + 1)/3
Let i be 9/4 + 281/(-1124). Determine f so that -4/3*f**3 + 1/3*f**i + 4/3*f - 1/3 = 0.
-1, 1/4, 1
Suppose -24 = -5*g + 3*g. Let j be ((-6)/g)/((-1)/6). Factor -6*h**4 + h**3 + h**2 + 2*h**j + 5*h**3 - 3*h**2.
-2*h**2*(h - 1)*(3*h - 1)
Let x(c) be the third derivative of 5*c**8/672 - 53*c**7/420 + 23*c**6/240 + 73*c**5/120 - 7*c**4/12 - 5*c**3/3 + 7*c**2 + c. Suppose x(f) = 0. What is f?
-1, -2/5, 1, 10
Let h = -8 - -9. Let o be 3 + -3 - h - -4. Suppose 6/5*f**2 - 2/5*f**o + 2/5*f - 4/5 - 2/5*f**4 = 0. What is f?
-2, -1, 1
Solve 5/3 + 77/6*a + 5/2*a**2 = 0.
-5, -2/15
Let y = 15 - 12. Suppose 4*b = -y*t + 33, -4*t + 6*t - 22 = 4*b. Factor -12*x - 4*x**3 + t - 5 + 12*x**2 - 2.
-4*(x - 1)**3
Let x(q) be the first derivative of 14*q**3/15 + 12*q**2/5 - 8*q/5 + 89. Factor x(u).
2*(u + 2)*(7*u - 2)/5
Let w(c) = 4*c**2 + 20*c - 4. Let b(u) = -4*u**2 - 20*u + 6. Let z(x) = -2*b(x) - 3*w(x). Suppose z(q) = 0. What is q?
-5, 0
Suppose 22/9*o**3 + 74/9*o**2 + 58/9*o - 2/3*o**4 + 4/3 = 0. Calculate o.
-1, -1/3, 6
Let w(o) be the first derivative of -o**5/40 + o**4/32 + o**3/8 - o**2/16 - o/4 + 154. Factor w(d).
-(d - 2)*(d - 1)*(d + 1)**2/8
Suppose 2*w + 4*p = 3*w - 43, -3*w - 4*p + 177 = 0. Suppose 2*v = -w + 55. Determine q, given that 1/2*q**4 - 1/2*q**2 - 1/2*q**5 + 1/2*q**3 + 0 + v*q = 0.
-1, 0, 1
Let f be (-28)/(-13) - (-4)/(-26). Suppose 3*i = 3*x + 57, f*x + 17 = i - 5. Suppose 39*n**2 - 19*n**2 + 32*n + i - 2*n**3 + 6*n**3 = 0. Calculate n.
-2, -1
Let f(h) = -15*h + 152. Let d be f(10). Let l be (d - 25/20)/(2/4). Suppose 0*s + 0 - l*s**5 + s**4 - s**2 + 3/2*s**3 = 0. Calculate s.
-1, 0, 2/3, 1
Let s(r) = 271*r + 1359. Let f be s(-5). Solve -3/5 + 3/5*i**5 + 1/5*i**f - 6*i**2 - 18/5*i**3 - 17/5*i = 0 for i.
-1, -1/3, 3
Let m = -20581/2 - -10292. What is q in 3/4*q**3 + m*q + 9/4*q**2 + 0 = 0?
-2, -1, 0
Let v(w) be the first derivative of w**6/5 - w**5/15 - w**4 + 2*w**3/3 + 7*w**2/2 + 22. Let f(r) be the second derivative of v(r). Let f(o) = 0. Calculate o.
-1, 1/6, 1
Suppose 0*f - 3 = -f. Let a(r) = r**3 + 2*r + 2*r - f*r + 2*r**2. Let d(u) = -2*u**3 - 3*u**2 + 1. Let k(x) = -3*a(x) - 2*d(x). Factor k(o).
(o - 2)*(o + 1)**2
Let h(c) be the third derivative of -c**8/42 - 13*c**7/35 - 43*c**6/30 + 32*c**5/15 + 15*c**4/2 - 25*c**3/3 - 81*c**2. Solve h(d) = 0 for d.
-5, -1, 1/4, 1
Let y(l) b