 0*s + 1/12*s**5 + 4*s**2 + 25/24*s**4 + 0 + 0*s**3. Determine b, given that i(b) = 0.
-5, 0
Factor -d**3 - 1/2 + 1/2*d + 1/2*d**5 - 1/2*d**4 + d**2.
(d - 1)**3*(d + 1)**2/2
Let y(g) be the third derivative of 1/2*g**3 + 0*g + 1/6*g**4 + 51*g**2 + 0 + 1/60*g**5. Factor y(x).
(x + 1)*(x + 3)
Let t(m) = -11*m**2 - 236*m - 2645. Let y(n) = n**2 + n. Let u(d) = t(d) + 6*y(d). Find j, given that u(j) = 0.
-23
Let f(h) be the first derivative of h**4/6 - 2*h**3/9 - 2*h**2 + 2. Solve f(t) = 0 for t.
-2, 0, 3
Factor 19*d + 405*d**3 - 882*d**3 + 710*d**2 + 141*d + 432*d**3.
-5*d*(d - 16)*(9*d + 2)
Suppose -9*n + 30 = -3*n. Let y(p) be the third derivative of 0*p**3 + 0*p + 0*p**4 - 1/10*p**7 - 1/10*p**n - 9/40*p**6 + 0 - 4*p**2. Factor y(o).
-3*o**2*(o + 1)*(7*o + 2)
Let y(m) be the first derivative of -m**6/50 - 3*m**5/10 + 11*m**4/20 + 16*m + 8. Let r(o) be the first derivative of y(o). Factor r(s).
-3*s**2*(s - 1)*(s + 11)/5
Let m(c) be the second derivative of -1/210*c**5 + 0 + 9*c + 9/2*c**2 + 1/28*c**4 + 0*c**3. Let t(q) be the first derivative of m(q). Factor t(a).
-2*a*(a - 3)/7
Find h such that -33*h + 3/2*h**2 + 363/2 = 0.
11
Let z(x) = 2*x**3 + x**2 + x + 1. Let k(h) = 17*h**3 - 16*h**2 - 114*h - 162. Let u(f) = 2*k(f) - 18*z(f). Suppose u(b) = 0. What is b?
-19, -3
Let s(t) = -t**3 - 9*t**2 + 50*t - 26. Let f be s(-13). Let u(n) be the third derivative of 50/3*n**3 + 0 + 5*n**2 - 5/3*n**4 + f*n + 1/15*n**5. Factor u(z).
4*(z - 5)**2
Let y(f) = -397*f**2 + 5824*f - 21637. Let s(t) = 198*t**2 - 2912*t + 10818. Let l(g) = -5*s(g) - 2*y(g). Find w, given that l(w) = 0.
52/7
Let k(j) = 7*j - 7. Let f be k(1). Let c(t) be the third derivative of 0*t + 0*t**4 + 1/180*t**5 - 1/360*t**6 + f + 0*t**3 - 2*t**2. Factor c(x).
-x**2*(x - 1)/3
Let b be 970/25*((-1)/3 + 2). Let j = b + -64. Find v, given that 0 + j*v**2 + 1/3*v**3 + 0*v = 0.
-2, 0
Let d(h) be the second derivative of h**6/120 - h**5/10 + h**4/8 + h**3/3 - 7*h**2/8 - 5*h + 8. Suppose d(g) = 0. What is g?
-1, 1, 7
Let f(r) be the third derivative of r**8/784 + r**7/105 + r**6/210 - 3*r**5/70 - r**4/24 + 2*r**3/21 - 112*r**2. Suppose f(n) = 0. What is n?
-4, -1, 1/3, 1
Let m be -3*3/(-4 - -1) + 5. Let j(s) be the first derivative of m + 2/55*s**5 + 0*s + 1/22*s**4 + 0*s**2 + 0*s**3. Factor j(i).
2*i**3*(i + 1)/11
Factor -287/2*z**2 - 2556*z - 2*z**3 + 648.
-(z + 36)**2*(4*z - 1)/2
Let m(y) = -32*y**5 - 104*y**4 - 84*y**3 + 36*y**2 + 4. Let s(k) = 65*k**5 + 208*k**4 + 169*k**3 - 73*k**2 - 9. Let f(w) = -9*m(w) - 4*s(w). Solve f(h) = 0.
-2, 0, 2/7
Let f(h) = -h**2 - 14*h. Let p be f(-14). Let q(b) be the second derivative of 6*b - 2/3*b**3 - 4/15*b**5 + p + 2/3*b**4 + 1/3*b**2. Factor q(o).
-2*(2*o - 1)**3/3
Let o(b) be the second derivative of 5*b**4/12 - 25*b**3/3 - 60*b**2 - 593*b. Suppose o(l) = 0. What is l?
-2, 12
Let a(g) be the first derivative of -5/8*g**4 + 0*g - 44 + 0*g**2 - 2/5*g**5 - 1/3*g**3 - 1/12*g**6. Factor a(u).
-u**2*(u + 1)**2*(u + 2)/2
Let s(i) be the third derivative of -i**8/294 - 24*i**7/245 - 193*i**6/420 - 67*i**5/70 - 13*i**4/12 - 5*i**3/7 + 13*i**2 + 3. Solve s(v) = 0.
-15, -1, -1/2
Let f(h) be the second derivative of -h**4/12 - 45*h**3/14 - 19*h**2/7 + 327*h. Suppose f(x) = 0. Calculate x.
-19, -2/7
Let n = -10906/143 - -844/11. Factor 0 + 4/13*u + 2/13*u**3 + n*u**2.
2*u*(u + 1)*(u + 2)/13
Let n(v) = 3*v**2 - 121 - 106 - 11*v + 237. Let s(w) = 13*w**2 - 45*w + 41. Let m(h) = -18*n(h) + 4*s(h). Suppose m(u) = 0. Calculate u.
1, 8
Let n = 10 + -24. Let d(l) = -7*l**5 + 3*l**4 + 5. Let y(j) = -20*j**5 + 8*j**4 + 14. Let o(t) = n*d(t) + 5*y(t). Suppose o(k) = 0. Calculate k.
-1, 0
Let v(x) be the first derivative of -x**3/27 - 5*x**2/18 - 4*x/9 - 73. Suppose v(h) = 0. What is h?
-4, -1
Let o be 42/168 - (-2 + 0 - -2). Let g(b) be the first derivative of 1/3*b**3 - o*b**4 - 4 + 0*b + 0*b**2. Factor g(c).
-c**2*(c - 1)
Let q(s) = -s**3 + s**2 + s - 1. Let a(c) be the first derivative of -3*c**4/4 + c**3 + 3*c**2/2 - 3*c + 33. Let x(t) = 3*a(t) - 6*q(t). Factor x(w).
-3*(w - 1)**2*(w + 1)
Let l(h) be the second derivative of 2*h**7/147 - 4*h**6/7 + 45*h**5/7 - 85*h - 1. Factor l(n).
4*n**3*(n - 15)**2/7
Let x(q) be the first derivative of -q**4/18 + 38*q**3/27 - 35*q**2/9 + 34*q/9 + 60. Solve x(y) = 0 for y.
1, 17
Let w = 27040/40569 + 2/13523. Factor -w*q**2 - 4/3*q - 2/3.
-2*(q + 1)**2/3
Factor -96 + 1/6*k**5 + 145/2*k**3 + 15/2*k**4 - 1585/6*k**2 + 280*k.
(k - 1)**3*(k + 24)**2/6
Suppose 15 + 19 = 2*p. Suppose p = 3*i - 7. Factor 3*w**3 + 2*w**3 + 6*w**2 + 6*w**3 - i*w**3.
3*w**2*(w + 2)
Let u(z) = -z + 5. Let i be u(5). Suppose a + h - 11 = -2*a, -4*a + 2*h - 2 = i. Factor 2*p**a + 20*p - 5*p - 7*p**2.
-5*p*(p - 3)
Let k(o) be the first derivative of -o**5/12 + 35*o**4/12 - 245*o**3/6 - 3*o**2/2 - 3. Let q(h) be the second derivative of k(h). Factor q(v).
-5*(v - 7)**2
Let c(u) = 4*u**3 - 16*u**2 + 16*u + 5. Let q(x) = -40*x**2 - 756 + 16*x**2 + 763 + 24*x + 6*x**3. Let m(o) = 7*c(o) - 5*q(o). Factor m(g).
-2*g*(g - 2)**2
Suppose -3*g + 13 - 4 = 5*s, 0 = 3*s. Suppose 0 = -g*h + h. Solve 3*k**3 + 3*k + 0*k**2 + h*k + 0*k**3 - 6*k**2 = 0.
0, 1
Let h = -33 + 35. Suppose 19 = 5*o - 11. Factor o + y**h + y - 10*y**2 - 4*y.
-3*(y + 1)*(3*y - 2)
Let l = -111 + 134. Suppose l*f = 9*f + 28. Factor 0 + 3/2*m - 1/2*m**f.
-m*(m - 3)/2
Let k be (4/(-10))/((-57)/(-30) + -2). Let 21*t**4 - t**3 - t**3 + t**2 - 41*t**4 + 21*t**k = 0. Calculate t.
0, 1
Factor -10/17*h**3 + 0 - 8/17*h**4 - 2/17*h**2 + 0*h.
-2*h**2*(h + 1)*(4*h + 1)/17
Let v be (6/(-4))/(18/(-24)). Factor 3*u**5 + 201*u**2 + 3*u - 201*u**v - 6*u**3.
3*u*(u - 1)**2*(u + 1)**2
Let o = 10/69 + 1/46. Let i = 143/5 - 853/30. Solve -o*s**4 + 0*s**2 + 0*s - i*s**3 + 0 = 0.
-1, 0
Let r(c) = -c**3 - 10*c**2 - c - 6. Let i be r(-10). What is d in 1/4*d**i + 1/2*d**3 - 3/4*d**2 - d + 1 = 0?
-2, 1
Find p such that -21/2*p**2 - 1/4*p**3 - 147*p - 686 = 0.
-14
Let f(n) = -n - 6. Let z be f(-6). Let z*c + c**3 - 2*c**2 - 4*c + c**3 = 0. What is c?
-1, 0, 2
Let l be 4 - 2 - (-12)/9*-6. Let p be l + 2 - 85/(-20). Let -1/4*u**3 + 1/4*u + 1/4 - p*u**2 = 0. Calculate u.
-1, 1
Let c(i) = i**3 - 9*i**2 + 2*i + 2. Let t(q) = -2*q**3 + 16*q**2 - 5*q - 5. Let a(j) = 15*c(j) + 6*t(j). Solve a(r) = 0 for r.
0, 13
Let f(m) be the third derivative of 1/90*m**5 + 0*m + 2/9*m**3 + 4*m**2 + 0 - 1/12*m**4. Solve f(q) = 0.
1, 2
Let z = 34 + -22. Suppose 11*s - z*s = -2. Factor 27*d**s + 81/2 + 1/2*d**4 - 54*d - 6*d**3.
(d - 3)**4/2
Let b = 22 + -22. Suppose 0 = 4*u - b - 0. Suppose u - 1/6*i**4 - 1/2*i**3 - 1/6*i - 1/2*i**2 = 0. What is i?
-1, 0
Let u(z) be the second derivative of 1/6*z**3 + 1/42*z**7 + 0*z**6 - 1/10*z**5 + 0*z**4 + 11*z + 0 + 0*z**2. Factor u(a).
a*(a - 1)**2*(a + 1)**2
Let s(x) be the third derivative of -x**5/12 - 25*x**4/12 - 344*x**2. Find d such that s(d) = 0.
-10, 0
Suppose 4*a + 5*d = 20, -15 = -7*a + 4*a - 2*d. Suppose -a*k = -k - 8. Determine z so that -2*z**5 + 0*z**3 - 10*z - 2 + 4*z**3 - 2*z**4 + 8*z + 4*z**k = 0.
-1, 1
Let r = 3301/30 + -110. Let o(s) be the second derivative of 5/18*s**4 + 0*s**2 - 2*s - r*s**5 - 1/3*s**3 - 1/45*s**6 + 0. Factor o(h).
-2*h*(h - 1)**2*(h + 3)/3
Factor -5*k**4 - 346*k**3 - 3113684*k - 2509086*k - 5463635 - 160680*k**2 - 1204*k**3.
-5*(k + 1)*(k + 103)**3
Let r be 215/75 - 4/(-30). Suppose 38*w = 37*w + r. Determine x so that 3/2*x**2 + 9/2*x + w = 0.
-2, -1
Suppose -4/5*c**3 + 36*c**2 + 2700 - 540*c = 0. Calculate c.
15
Suppose -18 + 8 = -5*m - s, -3*m - 16 = 5*s. Solve -33/4*l**2 - 12*l**m + 0 - 21/4*l**4 - 3/2*l = 0 for l.
-1, -2/7, 0
Let 48*k**2 + 19*k**3 - 30 - 49*k**3 - 3*k**5 + 24*k**3 + 35*k + 4*k**4 - 22*k**4 - 26*k = 0. What is k?
-5, -2, -1, 1
Let j(f) = f**2 + 7*f + 17. Let y be j(-4). Factor 15*u**2 + 5*u**4 - 20*u**2 - 5*u**5 + 0*u**5 + y*u**3.
-5*u**2*(u - 1)**2*(u + 1)
Suppose 4*l = 2*i + 4, 7*l + 2*i - 5 = 8*l. Factor 3*t**2 - l*t**2 + 5*t**2 + 0*t**2.
5*t**2
Let g = 1828681/840 + -2177. Let z(l) be the third derivative of 0*l**3 - 1/480*l**6 + 1/96*l**4 - 6*l**2 + 0 - g*l**7 + 1/240*l**5 + 0*l. Solve z(y) = 0 for y.
-1, 0, 1
Suppose -1 + 1/4*t + t**2 - 1/4*t**3 = 0. Calculate t.
-1, 1, 4
Let z(m) be the third derivative of -m**5/12 - 15*m**4/8 - 35*m**3/3 + 140*m**