 that -2 - 10*w - i*w**2 + 25/2*w**4 + 10*w**3 = 0.
-1, -2/5, 1
Let o be ((-24)/(-16))/(6/20). Suppose o*k - 3*k - 4 = 0. What is g in -2*g**k - 12*g**5 - 18*g**3 + 27*g**4 + 2*g**2 + 3*g**2 = 0?
0, 1/4, 1
Let g(b) be the first derivative of b**6/10 - 22*b**5/25 + 61*b**4/20 - 26*b**3/5 + 22*b**2/5 - 8*b/5 - 418. Factor g(a).
(a - 2)**3*(a - 1)*(3*a - 1)/5
Let c(h) be the second derivative of -h**8/560 - h**7/280 - h**6/480 + 3*h**3 - 19*h. Let o(y) be the second derivative of c(y). Suppose o(m) = 0. What is m?
-1/2, 0
Let m = 166283/8 + -20785. Determine d, given that -3/8*d + m*d**3 + 3/4*d**2 - 3/4 = 0.
-2, -1, 1
Let o(m) = 4*m + 126. Let u be o(-31). Let i(s) be the second derivative of -1/60*s**6 - 1/20*s**5 + 0*s**u + 0 + 0*s**3 - 6*s - 1/24*s**4. Factor i(r).
-r**2*(r + 1)**2/2
Let s(i) = -i**4 - i**3 - 2*i**2 + i - 1. Let a(d) = -4*d**4 - 32*d**3 + 87*d**2 - 92*d + 29. Let o(n) = -2*a(n) + 6*s(n). Find r, given that o(r) = 0.
-32, 1
Let a(n) = 11*n**2 - 57*n + 42. Let o(i) = -145*i**2 + 750*i - 545. Let u(p) = 40*a(p) + 3*o(p). Factor u(l).
5*(l - 3)**2
Let x(p) be the third derivative of p**5/540 + p**4/216 - 27*p**2. Factor x(o).
o*(o + 1)/9
Let y(u) be the first derivative of -10 - 3/5*u - 1/5*u**3 + 3/5*u**2. What is a in y(a) = 0?
1
Let s(l) = 2*l + 13. Let m be s(-12). Let o = 13 + m. What is k in 21*k**o - 5 - 25*k**2 + 16*k - 7 = 0?
1, 3
Let g(w) be the third derivative of w**6/660 - 173*w**5/330 - 195*w**2 + 1. Factor g(b).
2*b**2*(b - 173)/11
Let k(b) be the third derivative of -b**8/112 - 19*b**7/35 + 2*b**6 - b**5/10 - 79*b**4/8 + 20*b**3 + 564*b**2. Let k(x) = 0. What is x?
-40, -1, 1
Suppose 32*v + 186 = 250. Factor -5*y - 9/2 - 1/2*y**v.
-(y + 1)*(y + 9)/2
Let i(k) be the second derivative of k**6/15 - k**5/5 - 2*k**4/3 + 8*k**3/3 - 30*k. Find h, given that i(h) = 0.
-2, 0, 2
Let v(d) be the third derivative of -d**8/252 + d**7/63 - d**6/90 - 2*d**2 - 94. Factor v(u).
-2*u**3*(u - 2)*(2*u - 1)/3
Let p(w) = -w + 5. Let v be p(-3). Let l = 25/2 - v. Factor 6 - 3/4*a**4 + 15/4*a**3 - l*a**2 - 3*a.
-3*(a - 2)**3*(a + 1)/4
Let i(f) = -7*f**3 + 4*f**2 - 5*f - 16. Let c(w) = 6*w**3 - 4*w**2 + 5*w + 13. Let k(o) = 6*c(o) + 5*i(o). Determine u so that k(u) = 0.
1, 2
Find h, given that 47/5 + 1/5*h**2 + 48/5*h = 0.
-47, -1
Determine b, given that 70*b - 5/2*b**3 - 80 - 10*b**2 = 0.
-8, 2
Let i(a) be the third derivative of 0 + 1/448*a**8 + 0*a + 0*a**4 + 0*a**5 + 0*a**3 + 1/160*a**6 - 17*a**2 + 1/140*a**7. Suppose i(d) = 0. What is d?
-1, 0
Let c(b) be the third derivative of -1/420*b**7 + 0*b**4 + 0 + 0*b - 1/240*b**6 + 0*b**3 - 8*b**2 + 1/60*b**5. Determine j so that c(j) = 0.
-2, 0, 1
Let o(k) be the second derivative of -17*k + k**2 + 0 + 2/3*k**3 + 1/6*k**4. Factor o(u).
2*(u + 1)**2
Let g be (7/(-2))/(-2 + -5). Factor 0 - g*v**3 + 0*v + 0*v**2.
-v**3/2
Suppose -16*x - 5 + 101 = 0. Let s(p) be the first derivative of 12*p - x - p**3 - 9/2*p**2. Suppose s(i) = 0. Calculate i.
-4, 1
Solve -2/5*c**4 + 0 + 2/5*c**3 + 2*c**2 + 6/5*c = 0.
-1, 0, 3
Let x = 47/305 - -15/61. Let s be ((-4)/3)/((-20)/12). Suppose -x*h**4 + 2/5*h**2 + s*h + 0 - 4/5*h**3 = 0. What is h?
-2, -1, 0, 1
Let y(a) be the first derivative of -a**6/30 - a**5/25 + 9*a**4/20 + a**3/3 - 8*a**2/5 - 12*a/5 + 49. Suppose y(m) = 0. Calculate m.
-3, -1, 2
Find n such that -6*n**3 - n**3 - 8*n + 4*n**5 - 9*n**3 + 8*n**2 + 20*n - 8 = 0.
-2, -1, 1
Let u = 559/153 - 47/17. Let o(q) be the first derivative of -u*q**3 - 1/6*q**2 - 5/12*q**4 + 4 + 2/3*q. Find k such that o(k) = 0.
-1, 2/5
Let f(r) = 6*r + 7. Let p(y) = 7*y + 8. Let u(b) = -6*f(b) + 5*p(b). Let o be u(-4). Factor 0*t**2 - 3*t - o*t**2 - t**2.
-3*t*(t + 1)
Let l be -6*14/105*-5. Let q(x) be the second derivative of 0 - 2/5*x**6 + x - 1/2*x**3 - x**l - 9/10*x**5 + 0*x**2 - 1/14*x**7. Factor q(r).
-3*r*(r + 1)**4
Determine u, given that -627/4*u - 315/4 - 309/4*u**2 + 3/4*u**3 = 0.
-1, 105
Let m(j) be the first derivative of j**5/120 + j**4/12 + j**3/4 - 3*j**2/2 + 10. Let z(d) be the second derivative of m(d). Factor z(n).
(n + 1)*(n + 3)/2
Let m(q) be the first derivative of 3*q**4/4 + 6*q**3 + 9*q**2/2 - 30*q + 460. Factor m(g).
3*(g - 1)*(g + 2)*(g + 5)
Suppose -3*q + 2 = -2*q. Let t be (3/q)/(27/36). Factor -6*g - 12*g**t + 15*g**2 + 0*g + 3.
3*(g - 1)**2
Let y = 1/3478 - -13907/17390. Factor 16/5 - y*b**2 + 12/5*b.
-4*(b - 4)*(b + 1)/5
Let i(r) = -r**3 + 15*r**2 + 16*r + 2. Let g be i(16). Let k(c) be the first derivative of -3*c**2 + g + 7/6*c**3 - 2*c. Factor k(y).
(y - 2)*(7*y + 2)/2
Let b(s) = -s**2 - 23*s + 54. Let r be b(-25). Let h be (106/14 - (7 - r)) + -4. Factor 2/7*t - 4/7*t**2 + 2/7*t**5 + 2/7*t**4 - h*t**3 + 2/7.
2*(t - 1)**2*(t + 1)**3/7
Suppose 0 = 2*m - 5*q + 2 + 1, -4*m = q - 27. Suppose -m = s - 8. Suppose 10/3*x**s + 16/3 - 44/3*x = 0. Calculate x.
2/5, 4
Let d(n) be the first derivative of -5*n**8/336 + n**7/7 - n**6/2 + 2*n**5/3 + 31*n**2/2 + 32. Let i(a) be the second derivative of d(a). Factor i(j).
-5*j**2*(j - 2)**3
Find i such that 3*i**4 - 3*i**4 + 3*i**4 + 3*i**5 + 2*i**2 - 13*i**2 - 3*i**3 + 8*i**2 = 0.
-1, 0, 1
Let u(g) = g - 3. Let s be u(6). Let l = 7 - s. Factor 3*p**2 + 2*p**2 - 2*p**2 - 3*p**l.
-3*p**2*(p - 1)*(p + 1)
Let u(d) be the third derivative of 1/30*d**5 + 1/8*d**4 + 0*d + 1/360*d**6 + 2*d**3 + 12*d**2 + 0. Let k(l) be the first derivative of u(l). Factor k(q).
(q + 1)*(q + 3)
Let d(h) be the second derivative of 1/330*h**5 + h + 1/660*h**6 - 5/2*h**2 + 0 - 1/33*h**3 - 1/132*h**4. Let c(x) be the first derivative of d(x). Factor c(b).
2*(b - 1)*(b + 1)**2/11
Let y(q) be the second derivative of -3*q**5/140 - q**4/4 - 15*q**3/14 - 27*q**2/14 - 106*q. Factor y(g).
-3*(g + 1)*(g + 3)**2/7
Let j(z) = -8*z**4 + z**3 + 8*z**2 - 7*z - 3. Let g(v) = 14*v**4 - 3*v**3 - 16*v**2 + 13*v + 7. Let s(f) = -6*g(f) - 10*j(f). Factor s(y).
-4*(y - 3)*(y - 1)*(y + 1)**2
Suppose -11*g + 44 - 79 = -57. What is j in 11/4*j**g + 1/4*j**3 + 9/4 + 19/4*j = 0?
-9, -1
Let x be 549*10/2475 + 2/11. Factor 16/5*w**2 + x - 28/5*w.
4*(w - 1)*(4*w - 3)/5
Suppose n + 3*s = -n + 4, n = -4*s + 2. Let m(k) = 8 + 4 + 0 - 3*k**n + 9*k. Let d(t) = -t**2 + 2*t + 3. Let p(f) = 9*d(f) - 2*m(f). Factor p(b).
-3*(b - 1)*(b + 1)
Let i(v) be the first derivative of 5*v**9/6048 - v**8/168 + 5*v**7/336 - v**6/72 - 4*v**3/3 - 10. Let n(f) be the third derivative of i(f). Factor n(x).
5*x**2*(x - 2)*(x - 1)**2/2
Let r(y) = -7*y**2 - 200*y - 2008. Let d(v) = 8*v**2 + 200*v + 2012. Let q(j) = -2*d(j) - 3*r(j). Solve q(x) = 0.
-20
Let v be 20/9 + ((-20)/(-45))/(-2). Suppose -63*k + 12*k**3 - k**4 + 48*k + v*k**5 + 6*k**2 - 11*k**4 + k**5 + 6 = 0. Calculate k.
-1, 1, 2
Let c = -1689 - -1689. Factor 4/5*v**4 + c*v - 4/5*v**3 - 8/5*v**2 + 0.
4*v**2*(v - 2)*(v + 1)/5
Let u(i) be the third derivative of 1/6*i**4 + 0*i + 1/60*i**5 + 0*i**3 + 0 + i**2. Factor u(b).
b*(b + 4)
Suppose -5*s - w + 25 = 0, s + 1 = 2*w - 5. Suppose 2*p - 3*p + s = 0. Determine t so that 2*t + 2*t**2 + p - 6*t**2 + t**2 + t**2 = 0.
-1, 2
Suppose 7*k - 5*k**4 + 6*k**4 - 5*k**3 - 9*k**2 + 8 - 2*k**3 = 0. Calculate k.
-1, 1, 8
Let z(t) = 43*t**2 + 106*t - 47. Let h(j) = 14*j**2 + 34*j - 16. Let o(v) = -11*h(v) + 4*z(v). Factor o(d).
2*(d + 3)*(9*d - 2)
What is y in -2/15*y**2 + 0*y - 2/15*y**3 + 0 = 0?
-1, 0
Let i = 9473 - 9471. Determine h, given that 1/4*h**3 - 5/8*h**4 + 0*h**i + 0 + 0*h = 0.
0, 2/5
Let t(s) = s**3 - s**2 + s. Let k(o) = 1 - 5*o + 19*o + 7*o**3 - o**3 + 3 + 10*o**2. Let p(b) = -k(b) + 2*t(b). Factor p(l).
-4*(l + 1)**3
What is u in -3*u**2 + 0 - 1/2*u**3 - 5/2*u = 0?
-5, -1, 0
Let h(t) be the second derivative of -t**6/300 + 7*t**5/200 + t**4/15 + t + 20. Factor h(g).
-g**2*(g - 8)*(g + 1)/10
Suppose -g + 5*s = -86, -4*g + 9*g = -3*s + 486. Let p be 1*2*3/6. Determine d, given that p - 3*d + 0*d + g*d**3 - 93*d**3 - d**2 = 0.
-1, 1/3, 1
Let d(f) be the second derivative of -f**4/72 + 11*f**3/9 - 121*f**2/3 - f + 5. Suppose d(q) = 0. What is q?
22
Let u be -3*(-2)/(-6)*-5. Let q = 20 + -17. Factor 3*o**u + o**2 - 8*o**4 - 7*o**2 + 10*o**q + 5*o**3 - 4*o**4.
3*o**2*(o - 2)*(o - 1)**2
Let d(j) = j**2 - j - 1. Let k(o) = -o**2. Let b(m) = -40*m**2 + 30*m + 30. Let f(a) = -b(a) + 5*k(a). Let l(c) = -30*d(c) + f(c). Solve l(r) = 0 