 1/360*g**6 + 5*g**2 + 0*g - 1/144*g**4 + 0*g**3. Factor t(m).
-m*(m + 1)*(2*m + 1)/6
Let p = -6/127 - -320/1397. Let v = -2145 + 2149. Suppose -4/11*a + 4/11*a**3 - p + 0*a**2 + 2/11*a**v = 0. Calculate a.
-1, 1
Let y = 36/89 + 157/712. Let o(i) be the third derivative of -1/24*i**6 - y*i**4 - 1/4*i**5 + 9*i**2 + 0*i - 5/6*i**3 + 0. Determine s, given that o(s) = 0.
-1
Let j(d) be the third derivative of d**5/30 + d**4/12 - 4*d**2 - 7*d. Factor j(z).
2*z*(z + 1)
Let i(b) be the second derivative of -b**7/126 + b**6/90 + 143*b. Factor i(l).
-l**4*(l - 1)/3
Let p be 7/28 + 42/24. Let -1/2*c + 1/4*c**p + 0 = 0. Calculate c.
0, 2
Suppose 4*x = 7*x - 30. Suppose -11*l = -13*l + x. Solve r + 16*r**2 + 0 + 0 - l*r = 0.
0, 1/4
Let i(z) = -7*z**3 + 40*z**2 + 7*z - 53. Let o(q) = 3*q**3 - 21*q**2 - 3*q + 27. Let p(r) = -6*i(r) - 13*o(r). Factor p(f).
3*(f - 1)*(f + 1)*(f + 11)
Suppose -7*j**4 + 3*j**3 + 3*j**3 - 3*j**3 + 10*j**4 = 0. Calculate j.
-1, 0
Let a(l) be the third derivative of -5/96*l**4 + 0*l + 0 - 1/240*l**5 - 19*l**2 - 1/6*l**3. Factor a(o).
-(o + 1)*(o + 4)/4
Suppose 3*r = 2*w - 3 - 3, 5*w + 3*r - 36 = 0. Factor 31*b**2 + 5*b**3 + 17 - 2 - w*b**2 + 35*b.
5*(b + 1)**2*(b + 3)
Let d(m) be the first derivative of m**5/10 - 3*m**4/4 + 13*m**3/6 - 3*m**2 + 2*m + 68. Factor d(k).
(k - 2)**2*(k - 1)**2/2
Let w(c) = -12*c**3 + 188*c**2 - 772*c - 988. Let r(o) = -4*o**3 + 63*o**2 - 257*o - 329. Let d(i) = -16*r(i) + 5*w(i). Factor d(a).
4*(a - 9)**2*(a + 1)
Let g(n) = 4*n + 1 - 3 + 0 + 3. Let o be g(1). Solve 5*l + 8*l + 4*l**2 - o*l = 0 for l.
-2, 0
Let h = 124 + -121. Determine r, given that -5*r**4 - 26*r - 29*r + 15*r - 7*r**4 + 40*r**h + 12 = 0.
-1, 1/3, 1, 3
Let s(u) be the first derivative of -1/9*u**3 + 0*u**2 + 0*u + 1/6*u**4 - 1/15*u**5 - 19. Suppose s(o) = 0. Calculate o.
0, 1
Let c(i) be the first derivative of -16 + 0*i**3 + 0*i - 1/3*i**6 + 1/2*i**4 + 0*i**5 + 0*i**2. Factor c(n).
-2*n**3*(n - 1)*(n + 1)
Let u(i) be the second derivative of -i**7/10 - 5*i**6/9 + 37*i**5/30 - i**4 + 7*i**3/3 + 11*i. Let k(l) be the second derivative of u(l). Factor k(b).
-4*(b + 3)*(3*b - 1)*(7*b - 2)
Let p(b) be the first derivative of 2*b**5/25 + b**4/5 - 2*b**3/3 - 6*b**2/5 + 84. Determine c, given that p(c) = 0.
-3, -1, 0, 2
Let s(m) = 5*m**2 + 16*m - 29. Let g(t) = -5*t**2 - 15*t + 30. Let y(l) = -4*g(l) - 5*s(l). Suppose y(q) = 0. What is q?
-5, 1
Factor -11/4*v - 9/2 - 1/4*v**2.
-(v + 2)*(v + 9)/4
Let l(x) be the third derivative of 0 - 1/84*x**4 - 1/420*x**5 + 0*x**3 + 0*x - 2*x**2. Factor l(r).
-r*(r + 2)/7
Let p(t) be the third derivative of t**6/60 + t**5/10 + t**4/6 + 3*t**2 + t. Factor p(r).
2*r*(r + 1)*(r + 2)
Factor -2/17*q**2 - 6/17*q - 4/17.
-2*(q + 1)*(q + 2)/17
Let k = 30 + -147/5. Suppose 34 = 49*n - 60 - 4. Factor 0 + k*f + 1/5*f**n.
f*(f + 3)/5
Let n be (-31)/(-52) - 272/(-1768). Determine p, given that 1/2*p - n + 1/4*p**2 = 0.
-3, 1
Let t(u) be the second derivative of u**4/4 - 76*u**3 + 8*u + 6. Solve t(j) = 0.
0, 152
Let x = 45/133 - 1/19. Let w be 8888/616 + (-11 - 2). What is v in x*v**2 + 0 - 16/7*v**3 + 4/7*v + w*v**4 = 0?
-2/5, 0, 1
Let x(c) be the second derivative of -c**6/120 + 3*c**5/40 - c**4/4 + 3*c**3/2 - 12*c. Let q(z) be the second derivative of x(z). What is b in q(b) = 0?
1, 2
Let n(d) be the second derivative of -d**7/21 - 3*d**6/5 - 13*d**5/5 - 17*d**4/3 - 7*d**3 - 5*d**2 + d - 52. Factor n(a).
-2*(a + 1)**4*(a + 5)
Let j(g) = -13*g**2 + 80*g - 232. Let i(n) = -28*n**2 + 160*n - 462. Let u(l) = -4*i(l) + 9*j(l). Suppose u(y) = 0. What is y?
4, 12
Suppose 6*s = 9*s + 2*s. Suppose -2*k + 0*f + 2*f = s, -4*k = 5*f. Factor k + 0*u**2 - 1/3*u**3 + 4/3*u.
-u*(u - 2)*(u + 2)/3
Let l(r) = -r**3 - 11*r**2 - 12*r + 6. Let m be l(-10). Suppose -5*g = 2*z - m, 3*g - 2*g = z + 1. Factor 3/5*n**2 + 3/5*n + 1/5*n**z + 1/5.
(n + 1)**3/5
Let z(c) be the first derivative of -c**4/4 + 2*c**3/3 + 5*c**2/2 - 6*c + 100. Find q such that z(q) = 0.
-2, 1, 3
Let h(o) be the third derivative of 1/120*o**5 + 1/480*o**6 + 0*o**4 + 13*o**2 + 0*o**3 + 0 + 0*o. Suppose h(u) = 0. What is u?
-2, 0
Factor -58*p**3 - 30*p**3 - 232*p + 19 + 240*p**2 + 4*p**4 + 57.
4*(p - 19)*(p - 1)**3
Let h = -183/23 - -1350/161. Determine m, given that 3/7*m**3 - 3/7*m - 3/7*m**2 + 0 + h*m**4 = 0.
-1, 0, 1
Suppose -4*o - 12 = -7*o. Let z = 7 - o. Factor -15/4*d - 3/4*d**3 + z*d**2 + 3/2.
-3*(d - 2)*(d - 1)**2/4
Suppose 3 = 3*r - 3. Let a be ((-2)/(-3))/(10/30). Find j such that j - j**4 - 3*j - 6*j**3 + a*j**r + 4*j**2 + 3*j**4 = 0.
0, 1
Let o = 977/2 + -488. Let c(i) be the first derivative of -1/3*i**3 + i + o*i**2 - 9 - 1/4*i**4. Factor c(v).
-(v - 1)*(v + 1)**2
Suppose -5*y - 40 = -4*w - 8, 0 = 4*w + y - 32. Let -6*r**2 - 12*r - 2*r**4 + 16*r**3 - 2*r**4 - 2*r**3 + w - 4*r = 0. What is r?
-1, 1/2, 2
Let m(t) = t**3 + 2*t**2 - 8*t + 19. Let y(x) = x - 3. Let n(l) = 2*m(l) + 14*y(l). Factor n(w).
2*(w - 1)*(w + 1)*(w + 2)
Let 0 - 16/3*i**4 + 0*i**2 + 16/3*i - i**5 - 8*i**3 = 0. What is i?
-2, 0, 2/3
Factor -32*q - 10 - 13*q**2 - 12 - q**3 + 11 - 9.
-(q + 1)*(q + 2)*(q + 10)
Let x(u) be the third derivative of -u**5/20 + 5*u**4/8 - 2*u**3 + 55*u**2. Suppose x(v) = 0. What is v?
1, 4
Suppose -2*p + 111 = 5*w, 3*p - 82 = -4*w - 2*p. Determine y, given that 6*y**2 + 3 + 1 + w*y + 19*y**2 - 3*y = 0.
-2/5
Find o such that 2/3*o**2 + 96 - 16*o = 0.
12
Let s = 73759/110634 + -1/36878. Factor 0 + s*m**3 + 8/3*m**2 + 2*m.
2*m*(m + 1)*(m + 3)/3
Let z(h) = 6*h**2 + 75*h - 34. Let k be z(-13). Let g(q) be the second derivative of -1/21*q**3 - 1/70*q**k - 7*q + 0*q**2 + 1/21*q**4 + 0. Factor g(l).
-2*l*(l - 1)**2/7
Find t such that 5778*t + 21 + 9 - 3*t**2 - 5787*t = 0.
-5, 2
Let k(i) be the third derivative of -i**5/30 - 11*i**4/12 - 6*i**3 + 2*i**2 + 16. Factor k(h).
-2*(h + 2)*(h + 9)
Let n = -4328/2325 - -46/25. Let j = 89/186 - n. Determine y so that -1/2*y**3 + 1/2*y + j*y**4 + 0 - 1/2*y**2 = 0.
-1, 0, 1
Let u(t) = -t**2 + 3*t. Let x be u(2). Let w = 370 + -1475/4. Let 0*j + 0 - j**4 - w*j**3 - 1/4*j**x = 0. Calculate j.
-1, -1/4, 0
Let o(c) = c**2 + c. Let l(j) = -2*j + 174 - 7*j - 171. Let m(a) = l(a) + 3*o(a). Let m(r) = 0. What is r?
1
Factor 0*o + 2/17*o**3 + 0 + 10/17*o**2.
2*o**2*(o + 5)/17
Let k(o) be the second derivative of 2*o**4/15 - o**3/5 - 36*o - 1. Factor k(x).
2*x*(4*x - 3)/5
Let j(b) be the third derivative of 0 + 0*b + 1/5*b**3 + 3*b**2 + 7/50*b**5 + 1/4*b**4 + 3/100*b**6. Factor j(u).
6*(u + 1)**2*(3*u + 1)/5
Let n(g) be the third derivative of -g**8/84 - 26*g**7/105 - 3*g**6/10 + 37*g**5/15 + 5*g**4/3 - 16*g**3 + 2*g**2 - 128. Determine m, given that n(m) = 0.
-12, -2, -1, 1
Let o(x) be the first derivative of 7/8*x**2 + 3/2*x - 1 - 1/4*x**3. Let o(u) = 0. Calculate u.
-2/3, 3
Factor -5*z**2 - 6*z + 14*z**3 - 17*z**3 + 14*z**2.
-3*z*(z - 2)*(z - 1)
Let i(w) = 8*w**4 - 28*w**2 + 36*w. Let a(b) = 9*b**4 - 28*b**2 + 39*b. Let q(y) = -4*a(y) + 5*i(y). What is u in q(u) = 0?
-3, 0, 1, 2
Let h be ((-3)/(-5))/((-177)/(-118)). Factor -h*l**2 + 2/15*l**4 - 4/15 + 2/15*l**3 - 2/3*l.
2*(l - 2)*(l + 1)**3/15
Let j(f) be the second derivative of 2/7*f**7 - 2/5*f**5 + 0*f**3 + 0*f**4 + 0 + 2/3*f**6 + 0*f**2 - 22*f. Determine g, given that j(g) = 0.
-2, 0, 1/3
Let r(w) be the second derivative of -w**4/108 + 25*w**3/27 + 17*w**2/6 + 2*w - 164. Suppose r(s) = 0. What is s?
-1, 51
Let s be (23 + (-10092)/420)/(3/(-7)). Suppose s - 3/5*c - 12/5*c**2 + 3/5*c**3 = 0. Calculate c.
-1, 1, 4
Let j = 4968 - 24839/5. Solve -j*p + 0 + 1/5*p**2 = 0.
0, 1
Let g be -14 + ((-27907)/44)/(-43). Factor 27/4 + 33/4*n**2 + g*n**3 + 57/4*n.
3*(n + 1)**2*(n + 9)/4
Let d = -29/702 + 291739/1404. Let x = d + -207. Solve -x*a**2 + 0 + 3/4*a = 0.
0, 1
Find a, given that 1/12*a**2 + 0 + 2*a = 0.
-24, 0
Let c(y) be the first derivative of -7*y**7/165 + 7*y**6/60 - 16*y**5/165 + y**4/33 - 4*y**2 + 24. Let s(i) be the second derivative of c(i). Factor s(q).
-2*q*(q - 1)*(7*q - 2)**2/11
Suppose 0 = -4*x - p + 146 + 49, 45 = x - p. Suppose -8*m + x = -2*m. Factor -24*g**3 + m*g**3 - 28*g**2 - 9*g + 4 + g.
-4*(g + 1)**2*(4*g - 1)
Let l = -26 + 28. Factor 5*b + 10*b - l*b**2 - 21*b.
-2*b*(b + 3)
Let b be (2 + -7)*3/15*-2. Factor -5*p**4 + 28*p - 34*p + 15*p**b + 16*p.
-5*p*(p - 2)*(p +