 4*t**5 - 328/3*t**3. Solve h(z) = 0.
-3, -1, -1/5
Let h(y) be the second derivative of 0 - 1/20*y**5 - 1/12*y**4 + 8*y + 1/2*y**2 + 1/6*y**3. Find b, given that h(b) = 0.
-1, 1
Let i(s) = 2*s**4 - s**3 + s**2 + 1. Let l(m) = 15*m**4 - 31*m**3 - 19*m**2 + 24*m + 32. Let n(r) = 21*i(r) - 3*l(r). Factor n(d).
-3*(d - 25)*(d - 1)*(d + 1)**2
Let h(b) be the second derivative of b**7/42 + 11*b**6/30 + 43*b**5/20 + 77*b**4/12 + 32*b**3/3 + 10*b**2 - 3*b + 43. Factor h(l).
(l + 1)**2*(l + 2)**2*(l + 5)
Factor 0 - 2/3*h**3 + 0*h - 26/3*h**2.
-2*h**2*(h + 13)/3
Let q(u) be the second derivative of -u**8/5376 - u**7/252 + 4*u**4/3 + 12*u. Let v(i) be the third derivative of q(i). Factor v(d).
-5*d**2*(d + 8)/4
Suppose q - 5*z = 10, 4*z - 2 + 10 = -5*q. Let j(i) be the second derivative of -1/28*i**4 + 1/14*i**3 + q*i**2 - 5*i + 0. Find b, given that j(b) = 0.
0, 1
Factor w**4 - 190*w**3 + 94*w**3 + 93*w**3.
w**3*(w - 3)
Suppose 6*d = -d + 14. Suppose d*g = -g. Determine n, given that 1/5*n**3 + 1/5*n + g - 2/5*n**2 = 0.
0, 1
Find n, given that -68/7*n**3 - 38*n - 1488/7*n**2 - 12/7 - 242/7*n**5 + 132*n**4 = 0.
-1, -1/11, 2, 3
Let w(b) be the second derivative of -b**4/84 - 8*b**3/21 - 2*b**2 - 267*b. Determine u, given that w(u) = 0.
-14, -2
Suppose 25 = 5*d, -5*c + d + 5 = -5. Let -2/17*n**4 - 4/17 + 2/17*n**c + 6/17*n**2 - 2/17*n = 0. What is n?
-1, 1, 2
Let u = -7825 + 7828. Factor 0 - 8/5*i**2 - 2/5*i**u - 8/5*i.
-2*i*(i + 2)**2/5
Let t = -174 - -176. Let u be t/(10/(-15)) - -3. Suppose 6 - 3/2*p**2 + u*p = 0. Calculate p.
-2, 2
Let f be -4 - 147/(-14) - (-47)/(-10). Solve 12/5*o + 9/5*o**2 - 12/5*o**3 - f = 0.
-1, 3/4, 1
Factor -205*m + 240*m**2 - 930*m**3 + 15 + 13*m**5 + 430*m**2 + 595*m**4 - 158*m**5.
-5*(m - 1)**4*(29*m - 3)
Let s = 6 + -3. Let c(f) = 4*f + 0*f**2 + 5*f**2 - 3 - 3*f**2 + 1. Let a(i) = -2*i**2 - 3*i + 2. Let k(j) = s*c(j) + 4*a(j). Factor k(u).
-2*(u - 1)*(u + 1)
Let q = -2992 - -2995. Suppose -1/4*j**4 + 1/4*j**2 + j**q + 0*j + 0 - j**5 = 0. Calculate j.
-1, -1/4, 0, 1
Suppose 0 = 7*s + 3 - 31. Let b be (4/28)/(s/70*5). Let b*j**5 + 0*j + 0*j**2 + 0 + 1/2*j**3 - j**4 = 0. Calculate j.
0, 1
Let m be ((-4)/(-14))/(360/1008). Let -m*o + 5*o**5 + 0 + 4*o**2 - 4*o**4 - 21/5*o**3 = 0. What is o?
-1, 0, 2/5, 1
Find m such that -147/8*m**4 + 6075*m + 2577/8*m**3 + 3/8*m**5 - 18765/8*m**2 - 10125/2 = 0.
2, 15
Let q = 486 + -19439/40. Let r(t) be the third derivative of -1/70*t**7 + 1/20*t**5 + 0 - q*t**6 + 3*t**2 + 0*t + 0*t**3 + 1/8*t**4. Factor r(v).
-3*v*(v - 1)*(v + 1)**2
Let g be 5/75*65 + 2/(-6). Let q(c) = c**2 - 7*c + 12. Let y be q(g). Factor -1/4*i**3 + i**2 + y - i.
-i*(i - 2)**2/4
Let y(x) be the second derivative of 0 + 4/15*x**3 + 4/5*x**2 + 1/30*x**4 - 15*x. Factor y(o).
2*(o + 2)**2/5
Suppose -5 = -17*f + 80. Let r(c) be the second derivative of 1/3*c**4 + 0 - 10*c - 1/10*c**f + 0*c**3 + 0*c**2. Solve r(p) = 0 for p.
0, 2
Suppose -5*z = 4*o - 84, -z - 14 - 30 = -3*o. Let i(a) = -a**2 + 15*a + 16. Let d be i(o). Factor 0 + 2/3*q**2 + d*q.
2*q**2/3
Suppose 33*m + 35 = 40*m. Let s(f) be the second derivative of 2/9*f**3 - 2*f + 0 - 1/18*f**4 - 1/30*f**m + 0*f**2. Determine k so that s(k) = 0.
-2, 0, 1
Let j(y) be the first derivative of y**6/600 - 11*y**5/600 + y**4/20 + 4*y**3/3 + 5. Let p(h) be the third derivative of j(h). Factor p(i).
(i - 3)*(3*i - 2)/5
Let g(p) = -p**3 + 9*p**2 + 22*p. Let o be g(11). Factor 27/2*a - 9/2*a**2 - 3/2*a**4 + o - 15/2*a**3.
-3*a*(a - 1)*(a + 3)**2/2
Suppose -n = -a + 3*n + 5, 5*n - 25 = -5*a. Let -3*i**2 + 15*i - a*i**2 - 2*i**2 - 5*i**3 = 0. Calculate i.
-3, 0, 1
Let p(s) be the third derivative of -5/6*s**3 + 0 - 3*s**2 - 1/12*s**4 - 1/30*s**5 + 2/45*s**6 + 0*s. Let v(y) be the first derivative of p(y). Factor v(o).
2*(2*o - 1)*(4*o + 1)
Suppose 4*k - 3*f = 10, -51*f + 10 = -56*f. Let c(i) be the first derivative of 2/45*i**5 + 0*i + 1/9*i**2 + k - 2/27*i**3 - 1/18*i**4. Solve c(p) = 0 for p.
-1, 0, 1
Suppose v + 4 = 7. Suppose 10*l = 8 + 32. Factor 2*u**2 - 3*u**5 + 5*u**v + 4*u**3 - 4*u**l - 8*u**3.
-u**2*(u + 1)**2*(3*u - 2)
Let z = -5017 - -5020. Factor 3*l**2 + 3/4*l**z + 9/4*l + 0.
3*l*(l + 1)*(l + 3)/4
Suppose 0 = 65*v + 90*v. Factor 0 - 3/5*w**3 - 12/5*w**2 + v*w.
-3*w**2*(w + 4)/5
Let m = -2399 + 2399. Let -u**2 + 1/3*u**3 + m*u + 4/3 = 0. What is u?
-1, 2
Suppose -5*t - 12 = -3*t - 4*m, 8 = 2*t + m. Let r(k) be the first derivative of 0*k**4 + 2 + 2/35*k**5 - 2/21*k**3 + 0*k + 0*k**t. Factor r(o).
2*o**2*(o - 1)*(o + 1)/7
Suppose 0 = -2*k + 7*f - 2*f + 514, -2*f - 760 = -3*k. Let g be -3 + 4/(k/245). Suppose -2/3*u + 2/9*u**2 - g = 0. Calculate u.
-1, 4
Let c(a) be the third derivative of 1/20*a**5 + 1/4*a**4 + 0 - 1/70*a**7 + 0*a**3 - 3/40*a**6 + 0*a - 8*a**2 + 1/112*a**8. Find b such that c(b) = 0.
-1, 0, 1, 2
Let x(m) be the third derivative of m**5/210 + 3*m**4/14 - 275*m**2. Determine g so that x(g) = 0.
-18, 0
Let i(b) be the first derivative of -b**7/630 - b**6/120 - b**5/60 - b**4/72 - 11*b**2/2 + 13. Let m(c) be the second derivative of i(c). Factor m(q).
-q*(q + 1)**3/3
Let u(f) = f**5 + f**4 + f**3. Let x(o) = -15*o**5 - 30*o**4 - 36*o**3 + 12*o**2 + 15*o. Let d(n) = -18*u(n) - x(n). Let d(i) = 0. Calculate i.
-1, 0, 1, 5
Suppose 3*q + 0 = 15, -4*t = -q - 11. Factor -2/3*a**2 - 6 + t*a.
-2*(a - 3)**2/3
Let s be ((-2)/(-2))/(-19*(-2)/190). Let -4/11*b**2 + 0*b**4 - 2/11*b**s + 0*b + 6/11*b**3 + 0 = 0. Calculate b.
-2, 0, 1
Let u(h) = h**2 + 176*h - 2862. Let j be u(15). Suppose -4/7 + 4/7*f + 4/7*f**5 + 8/7*f**2 - 4/7*f**4 - 8/7*f**j = 0. Calculate f.
-1, 1
Let x be 4*5/(-30)*(-15)/40. Let d(b) be the first derivative of -x*b**4 + 0*b**5 + 0*b - 3 + 0*b**3 + 1/4*b**2 + 1/12*b**6. Factor d(o).
o*(o - 1)**2*(o + 1)**2/2
Let r be (2 - 6/(-9))*(-11)/((-4004)/42). Factor 0 - 6/13*u + r*u**2 + 2/13*u**3.
2*u*(u - 1)*(u + 3)/13
Let z be (-1)/(-4)*0/(-25). Find m such that 0*m + 2/11*m**4 - 8/11*m**3 + z + 6/11*m**2 = 0.
0, 1, 3
Suppose -20*p = 8*p - 15*p - 39. Determine h so that 14/5*h**2 + 72/5 - 1/5*h**p - 12*h = 0.
2, 6
Find t, given that -8 - 154*t + 166*t + 20 + 0*t**2 + 3*t**2 = 0.
-2
Factor 282/5*s - 3/5*s**2 - 6627/5.
-3*(s - 47)**2/5
Let p = 50 - 52. Let j be (-11 - -11)*1/p. Suppose -1/6*u**3 + 1/6*u**5 + j + 0*u + 0*u**4 + 0*u**2 = 0. Calculate u.
-1, 0, 1
Let z(h) be the third derivative of h**6/1260 - h**5/105 + 7*h**3/3 + 14*h**2. Let a(s) be the first derivative of z(s). Solve a(k) = 0 for k.
0, 4
Factor -2/9*r**2 + 0 - 2/9*r**3 + 0*r.
-2*r**2*(r + 1)/9
Let o(w) = -625*w**2 - 346*w - 33. Let z(i) = -i - 4. Let l(b) = 5*o(b) + 20*z(b). Suppose l(p) = 0. What is p?
-7/25
Let y be 980/588*2/5. Let k = 236/3 - 78. Factor -k*a**4 + 0*a + 0*a**2 + 0 - y*a**3.
-2*a**3*(a + 1)/3
Factor -36/7 + 4/7*x**2 + 32/7*x.
4*(x - 1)*(x + 9)/7
Let d = -23 + 48. Let g(s) = -30*s**4 + 5*s**3 + 90*s**2 - 5*s - 60. Let j(m) = 5*m**4 - m**3 - 15*m**2 + m + 10. Let a(r) = d*j(r) + 4*g(r). Factor a(o).
5*(o - 2)*(o - 1)*(o + 1)**2
Let g(b) be the third derivative of -14*b**6/75 + 71*b**5/75 - 16*b**4/15 + 8*b**3/15 + 67*b**2. Suppose g(r) = 0. Calculate r.
1/4, 2/7, 2
Let u(p) be the third derivative of 1/60*p**5 + p**2 + 0*p**3 + 18*p + 0 - 1/12*p**4. Factor u(h).
h*(h - 2)
Let x(k) be the third derivative of -1331/840*k**7 - 2*k**2 - 143/40*k**5 - 1/3*k**3 + 0*k - 35/24*k**4 + 0 - 2057/480*k**6. Find a such that x(a) = 0.
-1, -2/11
Let j(x) = 4*x - 17. Let p be j(5). Factor 3*u**3 + 8*u**2 - 13*u**4 - 15*u**p + 17*u**4.
4*u**2*(u - 2)*(u - 1)
Let q(h) be the third derivative of 0 + 0*h + 3/160*h**5 + 0*h**3 + 1/32*h**4 + 13*h**2 + 1/320*h**6. Factor q(z).
3*z*(z + 1)*(z + 2)/8
Let i = 537 + -3221/6. Let u(z) be the second derivative of i*z**6 - 5/6*z**3 + 0 - 5/12*z**4 + 1/4*z**5 + 0*z**2 - 10*z. Factor u(k).
5*k*(k - 1)*(k + 1)**2
Let x = -2036 - -2038. Find l such that 1/2 - 7/4*l**x + 5/4*l = 0.
-2/7, 1
Suppose -8*s = -4*y - 6*s, 0 = 4*y + 3*s - 8*s. Solve 0*b - 2/19*b**2 + y + 2/19*b**4 + 0*b**3 = 0.
-1, 0, 1
Let t be ((-1)/(-3))/(1 - (-10707)/(-10728)). Let u = t + -170. Factor 0 + u*w**2 + 0*w.
2*w**2/7
Suppose -18*b - 27*b + 270 = 0. Let m = 6 - 4. Factor -7 - b*w + m*w**2 - 4*w**2 + 7.
-2*w*(w + 3)
Let i(f) = -f**3 - 2*f**2 - f + 1. Let k be i(-2). Find h such that 0*h*