4*i**3/3 + 2*i**2 - 25. Let q(x) = a*b(x) + 6*d(x). Factor q(t).
-2*t*(t - 1)
Let x = 368 + -2570/7. Solve 0*u**2 + 2/7*u**3 - x*u - 4/7 = 0 for u.
-1, 2
Let h(v) be the third derivative of -1/100*v**6 - 2/105*v**7 - 3*v**2 + 0*v + 0*v**4 + 0 + 1/150*v**5 + 0*v**3. Factor h(g).
-2*g**2*(2*g + 1)*(5*g - 1)/5
Suppose 2*z + 2 = 3*f + 6, 5*z = -3*f + 10. Factor -26*r**2 + 15*r**3 + 3*r**4 - 3*r**5 + 20*r**2 + 15*r**z.
-3*r**2*(r - 3)*(r + 1)**2
Let r(d) be the second derivative of -d**5/30 + 5*d**2/2 - 6*d. Let c(g) be the first derivative of r(g). Find q such that c(q) = 0.
0
Let j(i) be the first derivative of -i**5/25 - 7*i**4/20 - 11*i**3/15 - i**2/2 - 84. Factor j(f).
-f*(f + 1)**2*(f + 5)/5
Factor 1/5*j**2 + 432/5*j + 46656/5.
(j + 216)**2/5
Let t(d) be the second derivative of -d**6/72 + d**5/8 - 17*d**3/6 - 3*d. Let s(w) be the second derivative of t(w). Suppose s(v) = 0. What is v?
0, 3
Let d = 1655/1183 + 5/169. Let p = -2557 - -2559. Factor 4/7 - d*r - 2/7*r**3 + 8/7*r**p.
-2*(r - 2)*(r - 1)**2/7
Let b(s) = -s**2 + 36*s - 312. Let r be b(21). Let j(t) be the first derivative of -6*t**2 + 16*t + 1 - 4/3*t**r. Factor j(o).
-4*(o - 1)*(o + 4)
Factor g**5 + 453 - g**3 - 114 - 109 - 116 - 3*g**4 + 7*g**2 - 118.
(g - 2)**2*(g - 1)*(g + 1)**2
Let h = -268 + 272. Let g(s) be the first derivative of 1/2*s**3 + 1/4*s**2 + 0*s + h. Factor g(u).
u*(3*u + 1)/2
Solve -2/5*z**5 - 3*z - 61/5*z**2 - 79/5*z**3 + 0 - 7*z**4 = 0 for z.
-15, -1, -1/2, 0
Let f = 7085 - 7077. Factor 32/5 + 16/5*p - f*p**2 + 12/5*p**3.
4*(p - 2)**2*(3*p + 2)/5
Let u be (180/(-175))/(27/(-45)). Solve -9/7*y**3 - 24/7*y**4 + 0 + 3/7*y - u*y**5 + 6/7*y**2 = 0.
-1, -1/2, 0, 1/2
Suppose -10*p**3 - 2/5*p**4 + 1064/5*p - 784/5 - 228/5*p**2 = 0. Calculate p.
-14, 1, 2
Let y(u) = u**3 - u**2 - 2*u. Let o(i) = -2*i**4 - 2*i**2 - 4*i. Let w(z) = -o(z) + 4*y(z). Factor w(x).
2*x*(x - 1)*(x + 1)*(x + 2)
Let g(i) = -23*i**2 + 15*i + 38. Let r(b) = 8*b**2 - 5*b - 13. Let v(m) = 3*g(m) + 8*r(m). Factor v(o).
-5*(o - 2)*(o + 1)
Let w(z) be the second derivative of -z**6/45 - z**5/15 + 2*z**3/9 + z**2/3 + 73*z. Factor w(m).
-2*(m - 1)*(m + 1)**3/3
Let d(i) = 2*i + 6. Let b be (-2)/8 - (28/16 - -1). Let f be d(b). Solve f*c**3 + 1/2*c**4 - 4*c - 3/2 - 3*c**2 = 0 for c.
-1, 3
Let o = 7 - 4. Let c = 735/2 + -367. Solve -1/4*m**4 - 1/4*m + 1/4*m**o + 3/4*m**2 - c = 0.
-1, 1, 2
Let s(j) be the first derivative of j**7/70 - j**6/25 + 3*j**5/100 + 18*j - 6. Let n(a) be the first derivative of s(a). Factor n(w).
3*w**3*(w - 1)**2/5
Let n be ((-4)/10 - (-2)/30)*-6. Factor -72 + 40*f - 35*f**n + 5*f**3 + 107 + 45.
5*(f - 4)**2*(f + 1)
Let a(r) = -8*r**3 + 43*r**2 + 149*r + 111. Let t(g) = 2*g**3 - 11*g**2 - 37*g - 27. Let o(c) = -6*a(c) - 26*t(c). Find n, given that o(n) = 0.
-1, 9
Let y = 260 - 258. Let h(s) be the first derivative of 0*s**y + 2 - 32/39*s**3 + 2/13*s. Factor h(k).
-2*(4*k - 1)*(4*k + 1)/13
Let o = -169 + 173. Let v(n) be the first derivative of 8/11*n**2 - 8/11*n - o + 10/33*n**3. Let v(q) = 0. What is q?
-2, 2/5
Let t(a) be the first derivative of -a**2 + 2/5*a - 12 + 8/15*a**3. Factor t(i).
2*(i - 1)*(4*i - 1)/5
Let k(x) be the third derivative of -x**8/1176 - x**7/735 + x**6/420 + x**5/210 - 16*x**2 - 14. Factor k(g).
-2*g**2*(g - 1)*(g + 1)**2/7
Determine o, given that 75/4*o**2 - 5/4*o**5 - 45/2*o + 35/4*o**3 + 0 - 15/4*o**4 = 0.
-3, 0, 1, 2
Let v = 18 - 26. Let d = v + 24. Factor -8*y**3 + 12*y**2 + 10*y - d + 7*y**4 + 6*y - 11*y**4.
-4*(y - 1)**2*(y + 2)**2
Let s(f) be the second derivative of f**6/80 - 11*f**5/160 + 3*f**4/32 - 8*f**2 - 14*f. Let c(p) be the first derivative of s(p). Factor c(t).
3*t*(t - 2)*(4*t - 3)/8
Suppose -2*o + 128 = 2*j, 5*o + 4*j - 37 = 281. Let t be o/8 + -2 + -7 + 3. Factor t*k**3 - 9/4*k**2 + 1/2*k + 0.
k*(k - 1)*(7*k - 2)/4
Let b be ((-2)/(-4))/((-1)/2). Let t be -6*(b/(-8))/(-1 + 0). Suppose 0*a + 3/4*a**2 - t = 0. Calculate a.
-1, 1
Let s(t) = -t**2 + 8*t - 1. Let g be s(4). Find c, given that -g*c**2 - 9*c**2 + 23*c**2 = 0.
0
Let a = 8296 + -124438/15. Determine q so that -2/5*q**4 + 0 + a*q**5 + 0*q**2 + 4/15*q**3 + 0*q = 0.
0, 1, 2
Let m(l) be the third derivative of -l**7/1050 - l**6/60 + 23*l**5/300 + 2*l**4 - 96*l**3/5 - 313*l**2. Determine v, given that m(v) = 0.
-8, 3
Let n(v) be the first derivative of -v**2 - 23*v + 10. Let w be n(-13). Factor -6*r**2 + 10*r + 2*r**3 - 6*r + 3*r**w - 3*r**3.
2*r*(r - 2)*(r - 1)
Let 575/6*j + 1/6*j**3 + 529/6 + 47/6*j**2 = 0. Calculate j.
-23, -1
Solve -43 - 7*q**3 - 32 + 75 - q**4 + 18*q**2 = 0 for q.
-9, 0, 2
Let l(o) = 120*o**2 + 3385*o + 46255. Let a(h) = -11*h**2 - 308*h - 4205. Let d(p) = -65*a(p) - 6*l(p). Factor d(q).
-5*(q + 29)**2
Let w(v) = v**2 + v + 3. Let a be w(-6). Let z = -23 + a. Determine b, given that 19*b - z*b + 2 + 0*b**2 + 32*b**2 + 7*b = 0.
-1/4
Let n(t) be the first derivative of -6*t**5/25 - 24*t**4/5 - 18*t**3 + 486*t**2/5 - 43. Find d such that n(d) = 0.
-9, 0, 2
Let a(s) be the second derivative of s**7/420 - s**6/180 - s**5/60 + s**4/12 + 3*s**3 + 14*s. Let n(j) be the second derivative of a(j). Factor n(y).
2*(y - 1)**2*(y + 1)
Let n(b) be the second derivative of b**4/42 + 58*b**3/21 + 841*b**2/7 + 2*b - 1. Solve n(a) = 0 for a.
-29
Suppose 0 = -19*o + 16*o + 12. Suppose o*t - t = -6, 2*k + 4 = -2*t. Factor -3/7*b**4 - 1/7*b**5 + k - 3/7*b**3 - 1/7*b**2 + 0*b.
-b**2*(b + 1)**3/7
Let g be (24/2240*-4)/((-36)/970). Let i = -7/12 + g. What is o in 0*o - i*o**2 + o**5 + 8/7*o**3 + 19/7*o**4 + 0 = 0?
-2, -1, 0, 2/7
Let k(q) be the first derivative of -5*q**6/24 - 2*q**5/5 + 9*q**4/16 + 2*q**3/3 - q**2/2 - 83. Solve k(y) = 0 for y.
-2, -1, 0, 2/5, 1
Let z(p) be the first derivative of p**3/7 - 3*p/7 - 77. What is u in z(u) = 0?
-1, 1
Let w(c) be the second derivative of 29*c - 7/20*c**4 + 0 + 3/25*c**5 + 3/10*c**2 + 1/5*c**3. Find x such that w(x) = 0.
-1/4, 1
Determine q, given that -2/5*q**4 - 4/5*q**3 + 32/5*q**2 + 4/5*q - 6 = 0.
-5, -1, 1, 3
Let r(m) be the third derivative of -m**7/630 - m**6/180 - m**5/180 + 65*m**2. Factor r(g).
-g**2*(g + 1)**2/3
Let n(s) be the second derivative of -6*s + 5/6*s**3 - s**6 + 0*s**2 - 7/4*s**5 + 0*s**4 + 0. Determine c, given that n(c) = 0.
-1, -1/2, 0, 1/3
Let u(v) = -3*v**5 + 6*v**3 + 3*v**2 + 3*v. Let j(y) = -6*y**5 + y**4 + 13*y**3 + 6*y**2 + 7*y. Let x(i) = 3*j(i) - 7*u(i). Factor x(s).
3*s**2*(s - 1)*(s + 1)**2
Suppose -2*h = 183 - 189. Let c = -2 + 14. Factor -10*n + c*n**h - 4 - 6*n + 8*n**4 + 4*n + 0 - 4*n**2.
4*(n - 1)*(n + 1)**2*(2*n + 1)
Let i(n) = -n**3 + 8*n**2 - 5*n - 10. Let r be i(5). Find g, given that 45*g**3 - 150*g**2 - r + 40*g + 105*g - 5*g = 0.
2/3, 2
Let d(i) = -17*i - 19. Let k(s) = s**2 - 51*s - 56. Let m(b) = -7*d(b) + 2*k(b). Let r be m(-7). Suppose 0*q + r - 2/5*q**3 + 0*q**2 = 0. What is q?
0
Let a(m) = 0 + 9*m + 1 + m**2 - 5*m - 3*m. Let b(u) = 5*u**3 + 9*u**2 + 4*u + 4. Let p(v) = -4*a(v) + b(v). Factor p(d).
5*d**2*(d + 1)
Suppose 128/7*b**5 - 16*b + 608/7*b**4 - 382/7*b**2 - 10/7 - 232/7*b**3 = 0. Calculate b.
-5, -1/4, 1
Let m(c) be the second derivative of 0*c**2 + 0*c**3 - 7/40*c**6 - 1/16*c**4 + 3/16*c**5 + 0 + 3/56*c**7 - 6*c. Factor m(o).
3*o**2*(o - 1)**2*(3*o - 1)/4
Let c(w) be the second derivative of 8*w**6/5 - 21*w**5/5 - 13*w**4 - 23*w**3/2 - 9*w**2/2 + w - 25. Let c(o) = 0. What is o?
-1/2, -1/4, 3
Solve -4/11*k**3 - 26/11*k**2 + 2/11*k**4 - 48/11 + 76/11*k = 0 for k.
-4, 1, 2, 3
Let d(w) be the second derivative of w**7/504 - w**5/72 + 7*w**3/3 - 9*w. Let b(v) be the second derivative of d(v). Suppose b(q) = 0. Calculate q.
-1, 0, 1
Let d be (-3)/7*32/(-120). Let c = 51/140 - d. Determine n so that -1 + n - c*n**2 = 0.
2
Let u(r) = 5*r**5 + 3*r**4 - 3*r**3 - 7*r**2 - 3*r. Let y(j) = 34*j**5 + 20*j**4 - 22*j**3 - 48*j**2 - 20*j. Let p(o) = -20*u(o) + 3*y(o). Factor p(x).
2*x**2*(x - 2)*(x + 1)**2
Find x, given that -2/11*x**2 - 20/11*x - 48/11 = 0.
-6, -4
Let a(i) be the second derivative of 2*i**7/21 - 2*i**6/3 - i**5/5 + 5*i**4/3 + i + 110. Let a(g) = 0. What is g?
-1, 0, 1, 5
Let m be 33/(495/(-10)) - (14/(-3) + 2). Solve 3/2*b + 3 - 3/2*b**m = 0 for b.
-1, 2
Suppose -29*w - 8*w + 14*w - 37*w = 0. Let k(f) = -f - 1. Let b be k(-1). Factor 0*q**4 - 2/9*q**5 + b - 2/9*q + 4/9*q**3 + w*q