 + 8. Let u(c) = 8*g(c) - 3*m(c). Solve u(v) = 0 for v.
0, 2, 3
Solve 2/9*s**3 + 0 - 2/3*s**2 + 0*s = 0 for s.
0, 3
Let n(u) be the second derivative of 2*u**7/21 - 8*u**6/15 + 4*u**5/5 - 50*u. Factor n(l).
4*l**3*(l - 2)**2
Find f, given that 0*f + 0 - 2/5*f**5 - 64/5*f**2 - 4*f**4 - 64/5*f**3 = 0.
-4, -2, 0
Let l(a) be the second derivative of a**8/2240 - a**7/280 + a**5/10 + 13*a**4/12 - 32*a. Let c(g) be the third derivative of l(g). Determine k so that c(k) = 0.
-1, 2
Suppose 2*v = s - 11, 0*v - 4*s + 26 = -2*v. Let i be 1/(3/9) - v. Find a, given that -3*a - 2 + 4*a**5 + 5 - 7*a**5 - 6*a**2 + i*a**3 + 3*a**4 = 0.
-1, 1
Suppose -26476/5*a**2 - 720 - 1728/5*a**4 + 15462/5*a**3 + 3336*a + 54/5*a**5 = 0. What is a?
2/3, 15
Let u(y) be the first derivative of y**6/80 - y**4/16 + 15*y**2/2 - 16. Let i(o) be the second derivative of u(o). Factor i(c).
3*c*(c - 1)*(c + 1)/2
Factor -1/5*s**4 - 3/5*s**2 - 4/5*s**3 + 0*s + 0.
-s**2*(s + 1)*(s + 3)/5
Let y(t) = t**3 - t**2. Let o(g) = -5*g**3 - 8*g**2 - 15*g. Let i(f) = -o(f) - 6*y(f). Let i(z) = 0. Calculate z.
-1, 0, 15
Suppose -52*x - 264/5 + 4/5*x**2 = 0. Calculate x.
-1, 66
Suppose -7 = 4*k - 2*x - 21, 5*x = k + 10. Suppose 0*s - k*s = 3*o + 19, 0 = -o + 3*s + 17. Factor 0 + 4/5*j**o + 0*j + 2/5*j**3.
2*j**2*(j + 2)/5
Let q(o) be the first derivative of -3*o**4/28 + 3*o**3 + 459*o**2/14 + 729*o/7 - 678. Factor q(f).
-3*(f - 27)*(f + 3)**2/7
Let q(n) be the first derivative of -n**8/7560 + 2*n**7/945 - 7*n**6/1620 - 10*n**3/3 - 14. Let r(u) be the third derivative of q(u). Let r(b) = 0. What is b?
0, 1, 7
Suppose 4 = 4*n - 2*q, -2*q - 939 = -955. Factor 2/5*z**2 + 2/5*z**3 - 2/5*z**4 - 2/5*z**n + 0 + 0*z.
-2*z**2*(z - 1)*(z + 1)**2/5
Find g, given that 12*g**3 - 16*g**4 + 208*g + 130 - 28*g**5 + 24*g**5 + 136*g**2 + 0*g**3 - 34 = 0.
-2, -1, 3
Let n(j) be the second derivative of 0 - 15*j - 2/3*j**6 - 1/12*j**4 + 17/40*j**5 + 4/21*j**7 + 0*j**2 + 0*j**3. Let n(x) = 0. What is x?
0, 1/4, 2
Find k such that 0*k - 44/9*k**3 + 0 + 8/3*k**2 = 0.
0, 6/11
Let c = 71 - 69. Find d, given that 15*d + 2 - 2*d**3 + 5*d**3 - 6 - 12*d**2 - c = 0.
1, 2
Let j(s) be the first derivative of -5/3*s**3 - 15*s - 10*s**2 + 28. Factor j(r).
-5*(r + 1)*(r + 3)
Factor -128/7 + 4/7*t**2 - 8*t.
4*(t - 16)*(t + 2)/7
Let k(m) be the second derivative of m**7/42 - 3*m**6/50 - 7*m**5/100 + 3*m**4/20 + m**3/15 + m - 12. Find s, given that k(s) = 0.
-1, -1/5, 0, 1, 2
Let m(v) = -7*v**2 + 24*v - 8. Let q(c) = -48*c**2 + 168*c - 54. Suppose 0 = -80*r + 79*r - 4. Let x(o) = r*q(o) + 27*m(o). Suppose x(f) = 0. Calculate f.
0, 8
Let o(x) be the first derivative of -x**4/2 - 16*x**3/3 + 19*x**2 - 20*x - 126. Find q such that o(q) = 0.
-10, 1
Suppose -27 = -3*c + 3*j, -j + 0*j - 3 = 0. Solve 6*f**2 - 6 + 4 - 4*f**2 - c = 0 for f.
-2, 2
Let b(y) be the third derivative of y**8/360 - y**7/140 + y**6/270 - 11*y**3/2 + 11*y**2. Let g(n) be the first derivative of b(n). Find h, given that g(h) = 0.
0, 2/7, 1
Let o = -5809334/55 + 105628. Let i = o - 28/11. Factor i*t**2 - 2/3*t + 4/15*t**4 - 14/15*t**3 + 2/15.
2*(t - 1)**3*(2*t - 1)/15
Let x(y) be the third derivative of -y**7/1365 - y**6/390 + y**5/130 + y**4/39 - 4*y**3/39 + 2*y**2 - 4. Factor x(l).
-2*(l - 1)**2*(l + 2)**2/13
Let z(c) be the third derivative of -11*c**5/210 + 5*c**4/36 - 2*c**3/63 + 4*c**2 - 32. Factor z(y).
-2*(y - 1)*(33*y - 2)/21
Suppose 361 = 3*k - 245. Let g = k - 198. Factor -5/4*m**3 - 9/4*m**2 - 1/2 - 1/4*m**g - 7/4*m.
-(m + 1)**3*(m + 2)/4
Suppose -1024 + 1024 + 3*m**2 = 0. Calculate m.
0
Let l be ((-3)/11)/((-29)/319). Let i(t) be the first derivative of -2 + 0*t + 1/2*t**2 - 1/6*t**l. Solve i(j) = 0 for j.
0, 2
Let i(d) be the first derivative of -d**5/5 - d**4/4 + 3*d**3 + 9*d**2/2 + 536. Find o, given that i(o) = 0.
-3, -1, 0, 3
Factor -3*m + 4*m + 4*m**2 - 6*m + 0*m - 3*m.
4*m*(m - 2)
Let w(n) = -5*n**2 + 836*n + 60484. Let g(d) = 3*d**2 - 558*d - 40323. Let t(s) = -8*g(s) - 5*w(s). Factor t(a).
(a + 142)**2
Let a = 88 - 88. Let d(v) be the second derivative of -1/3*v**4 + 2/15*v**6 - 1/10*v**5 + 4*v + 0*v**3 + 0*v**2 + a + 1/21*v**7. Factor d(o).
2*o**2*(o - 1)*(o + 1)*(o + 2)
Factor 0 + 0*f + 2/5*f**2.
2*f**2/5
Let x(z) be the second derivative of z**6/90 + 5*z**5/6 + 52*z**4/3 - 25*z**3/9 - 625*z**2/6 - 144*z. Suppose x(p) = 0. Calculate p.
-25, -1, 1
Let p(m) be the second derivative of -m**7/294 - m**6/105 + 3*m**5/140 + 8*m + 1. Find d such that p(d) = 0.
-3, 0, 1
Find x, given that -43/6*x**2 - 1/3*x**5 + 5*x**3 + 7/6*x**4 - 74/3*x - 10 = 0.
-2, -1/2, 3, 5
Let i(y) be the first derivative of 2*y**3/3 + 22*y**2 + 42*y - 402. Find s such that i(s) = 0.
-21, -1
Let z(d) be the first derivative of d**4 - 4*d**3 - 65. Factor z(g).
4*g**2*(g - 3)
Let v = -6804 + 33897/5. Let s = v - -25. Factor 4/5*q**2 + 0 + 2/5*q**3 + 0*q - s*q**4.
-2*q**2*(q - 2)*(q + 1)/5
Let q(w) be the first derivative of -w**5/75 - w**4/3 - 10*w**3/3 - 41*w**2/2 - 5. Let z(l) be the second derivative of q(l). Let z(t) = 0. What is t?
-5
Factor 330 - 772*d - 204 + 530 + 4*d**2 + 112.
4*(d - 192)*(d - 1)
Suppose 0 = s - a + 2*a + 2, 3*s - 4*a + 41 = 0. Let o(b) = b**2 + 7*b. Let q be o(s). Factor -3/2*g**3 + 3/2*g**2 + q*g + 0.
-3*g**2*(g - 1)/2
Factor -64/3 + 20/3*a**4 + 4/3*a**5 - 128/3*a + 16/3*a**3 - 64/3*a**2.
4*(a - 2)*(a + 1)*(a + 2)**3/3
Let b(d) be the second derivative of -d**6/60 + d**5/5 - 17*d**4/24 - d**3/6 + 6*d**2 - 419*d. Find r, given that b(r) = 0.
-1, 2, 3, 4
Factor 0 + 25/4*d**3 + 35/2*d**2 + 49/4*d.
d*(5*d + 7)**2/4
Let d = 180 + -68. What is z in -2*z**4 + 4*z + 0*z**4 + 114*z**2 + 0*z - d*z**2 - 4*z**3 = 0?
-2, -1, 0, 1
Let q(r) be the first derivative of -r**3/15 + r**2/5 - 117. Find w such that q(w) = 0.
0, 2
Let l(r) be the second derivative of -r**4/6 + 25*r**3 + 76*r**2 + 6*r + 2. Let l(m) = 0. What is m?
-1, 76
Let c(m) be the third derivative of 0*m - 6*m**2 + 0*m**5 + 0*m**3 + 1/42*m**7 + 0*m**4 - 1/8*m**6 + 0. Let c(g) = 0. What is g?
0, 3
What is i in 2/15*i**2 + 6/5 + 4/3*i = 0?
-9, -1
Let w(u) be the first derivative of -3*u**5/40 + 21*u**4/16 - 17*u**3/2 + 195*u**2/8 - 225*u/8 - 32. Solve w(v) = 0 for v.
1, 3, 5
Let r(d) = -10*d**4 - 16*d**3 - 2*d**2 + 2. Let c(i) = 11*i**4 + 15*i**3 + i**2 - 3. Let o(m) = -4*c(m) - 6*r(m). Let o(g) = 0. What is g?
-2, -1/4, 0
Factor 0*m + 3/2*m**2 + 0 - 1/2*m**3.
-m**2*(m - 3)/2
Let z(l) be the second derivative of l**6/60 - l**5/10 + l**4/8 - 7*l - 8. Factor z(w).
w**2*(w - 3)*(w - 1)/2
Let -63/8*x**2 - 75/2 + 3/8*x**3 + 45*x = 0. Calculate x.
1, 10
Let j(f) be the second derivative of f**4/28 + 95*f**3/14 - 144*f**2/7 + 498*f. Factor j(i).
3*(i - 1)*(i + 96)/7
Let k(q) = -5*q**4 - 112*q**3 + q**2 + 120*q. Let s(m) = -10*m**4 - 226*m**3 + 3*m**2 + 240*m. Let x(y) = -7*k(y) + 4*s(y). Solve x(i) = 0 for i.
-24, -1, 0, 1
Let v(n) be the third derivative of n**6/60 + n**5/30 - n**4/12 - n**3/3 + 45*n**2. Solve v(q) = 0.
-1, 1
Suppose 131*y = 135*y. Factor y*p**3 - 3/2*p**2 + 0 + 3/2*p**4 + 0*p.
3*p**2*(p - 1)*(p + 1)/2
Let x(j) = -3*j**5 + 9*j**4 - 14*j**3 - 8*j**2. Let h(k) = k**5 - 3*k**4 + 5*k**3 + 3*k**2. Let w(b) = 8*h(b) + 3*x(b). Factor w(p).
-p**3*(p - 2)*(p - 1)
Let u(o) be the first derivative of o**4/3 + 8*o**3/3 + 8*o**2 + 5*o - 19. Let p(r) be the first derivative of u(r). Factor p(d).
4*(d + 2)**2
Let z(o) be the first derivative of -o**3/3 - o**2 + 3*o + 94. Factor z(l).
-(l - 1)*(l + 3)
Let v(h) = h**3 + 5*h**2 + 2*h + 9. Let m be v(-4). Let o(z) = -z + 20. Let n be o(m). Factor 2/3*s + 2/9*s**n - 2/3*s**2 - 2/9.
2*(s - 1)**3/9
Let h(u) be the third derivative of u**4/12 - u**3 + 12*u**2. Let r be h(4). Suppose 1/2*q - 1/4 - 1/4*q**r = 0. Calculate q.
1
Let t(r) be the third derivative of -r**5/240 + 7*r**4/6 - 37*r**3/8 - 219*r**2. Determine s, given that t(s) = 0.
1, 111
Let l(v) be the first derivative of 7*v**6/33 - 102*v**5/55 + 119*v**4/22 - 22*v**3/3 + 54*v**2/11 - 16*v/11 - 98. Let l(d) = 0. Calculate d.
2/7, 1, 4
Let h(a) = a**3 + 13*a**2 + 20*a - 9. Let q be h(-11). Suppose q*p = -3*t + 10*p, 3*t - 8 = p. Find b, given that 2/3*b**t + 0 + 4/3*b = 0.
-2, 0
Let b(n) be the first derivative of 4*n**5/5 + 16*n**4 - 148*n**3/3 - 32*n**2 + 144*n - 405. Find x such that b(x) = 0.
-18, -1, 1, 2