**3 + 0*k**5 + 0*k**2. Solve y(q) = 0 for q.
0, 12
Let -8/5*y**4 - 14*y**3 - 6*y**2 + 28*y - 32/5 = 0. Calculate y.
-8, -2, 1/4, 1
Let u(d) be the first derivative of d**2/2 - d + 5. Let m be u(4). Let 4*q + 1 - 4*q + 2*q**2 - m*q**2 = 0. What is q?
-1, 1
Factor -38*z**5 + 7*z**3 + 12*z**5 + 25*z**5 + 6*z**4.
-z**3*(z - 7)*(z + 1)
Let z = 15 - 13. Suppose -s = z*s - 108. Suppose 2*y**2 - 35*y**3 + s*y**3 - 3*y - 4*y**2 = 0. What is y?
-1, 0, 3
Let v be (-2 - 3)*(92/(-20) + 4). Solve 0*o - 7/5*o**4 + 0 - o**v + 2/5*o**2 = 0.
-1, 0, 2/7
Let j be 8 + 344/(-40) - 8/(-10). Suppose 1/5*c**3 - j*c + 2/5 - 2/5*c**2 = 0. What is c?
-1, 1, 2
Let r be (-2)/30 + (-2562)/(-630). Let x = -24/11 - -107/44. Suppose -2*u + r + x*u**2 = 0. Calculate u.
4
Let f = 19 + -30. Let n = 9 - f. Let r(q) = 25*q**2 + 5*q + 20. Let m(i) = i**2 - i. Let t(d) = n*m(d) - r(d). Factor t(p).
-5*(p + 1)*(p + 4)
Factor -4 + 3*k - 1/2*k**3 + 3/2*k**2.
-(k - 4)*(k - 1)*(k + 2)/2
Factor -775*l + 374*l + 363*l + 2*l**2 - 184.
2*(l - 23)*(l + 4)
Let v(l) = l**3 + 3*l**2 + l - 1. Let s(f) = 8*f**3 - 232*f**2 - 160*f + 80. Let a(j) = -s(j) - 4*v(j). Factor a(i).
-4*(i - 19)*(i + 1)*(3*i - 1)
Let g(q) be the second derivative of -q**7/14 - q**6/5 + 3*q**5/20 + q**4/2 - 25*q. Find w, given that g(w) = 0.
-2, -1, 0, 1
Let l = -1089451/7 + 155251. Let z = l - -386. Factor 10/7*w**3 + 0 - 2/7*w - z*w**2.
2*w*(w - 1)*(5*w + 1)/7
Let g(f) be the second derivative of 1/50*f**5 - 1/15*f**3 - 20*f + 0*f**4 + 0 + 0*f**2. Factor g(o).
2*o*(o - 1)*(o + 1)/5
Let h(d) be the third derivative of 2*d**7/315 - 2*d**5/5 + 16*d**4/9 - 10*d**3/3 - 2*d**2 + 39. Factor h(l).
4*(l - 3)*(l - 1)**2*(l + 5)/3
Let v(l) = -l**3 + 22*l**2 - 24*l + 65. Let f be v(21). Let 3*i + 3*i**2 + 61*i**4 - 62*i**4 - 2*i**f - 3*i**3 = 0. Calculate i.
-3, -1, 0, 1
Suppose -27 = -2*g - 7*g. Let p(d) be the first derivative of -4*d - 1 + 3*d**2 + 0*d**g - 1/2*d**4. Suppose p(c) = 0. Calculate c.
-2, 1
Determine i, given that -28*i**4 - 38*i**5 + 10*i**2 - 12*i**4 - 65*i**3 + 73*i**5 = 0.
-1, 0, 1/7, 2
Let d(s) be the third derivative of 1/24*s**4 - 1/120*s**5 - 1/160*s**6 + 0 - 19*s**2 + 0*s + 1/1680*s**7 + 1/2688*s**8 + 0*s**3. Let d(x) = 0. What is x?
-2, 0, 1, 2
Let i(b) be the second derivative of 2*b**6/45 - 8*b**5/15 + 2*b**4/3 + 80*b**3/9 + 50*b**2/3 - 10*b. Suppose i(z) = 0. Calculate z.
-1, 5
Let f = -2/23619 + 31498/70857. Factor -f*l + 4/9*l**2 - 4/9 + 4/9*l**3.
4*(l - 1)*(l + 1)**2/9
Let o be 6/(-1) - 1029/(-245) - (-15)/5. Factor 4/5*j**4 + 0*j**2 - o*j**3 + 2/5*j + 0.
2*j*(j - 1)**2*(2*j + 1)/5
Let z(a) be the first derivative of 8*a**6/3 + 88*a**5/5 - 111*a**4/4 - 346*a**3/3 + 94*a**2 - 24*a - 23. Solve z(f) = 0 for f.
-6, -2, 1/4, 2
Let b = 278 + -283. Let p be b/(30/(-36)) + -6. Factor 2/11*q**4 + 4/11*q**3 + 0*q**2 + 0*q + p.
2*q**3*(q + 2)/11
Solve 8/9*a**4 + 20/9*a + 70/9*a**3 - 98/9*a**2 + 0 = 0.
-10, 0, 1/4, 1
Let c(w) be the first derivative of 3/5*w**5 - 8 + 9/2*w**2 - 9/4*w**4 - 6*w + w**3. Factor c(a).
3*(a - 2)*(a - 1)**2*(a + 1)
Let f(x) be the second derivative of x**6/12 - 3*x**5/40 - 7*x**4/24 + x**3/4 + x**2/2 + 78*x. Suppose f(u) = 0. Calculate u.
-1, -2/5, 1
Suppose 3*h = -w + 5*h + 6, -1 = h. Factor 389 + w*b**2 + 197 + 198 + 112*b.
4*(b + 14)**2
Let q be ((-3)/11)/(66/726)*(-2)/24. Factor 1/4*o**4 - q*o**3 + 0 + 0*o + 1/4*o**5 - 1/4*o**2.
o**2*(o - 1)*(o + 1)**2/4
Let m(h) = 3*h - 60. Let k be m(20). Let a be (-30)/18 + k + 2. What is q in 0 + q**2 + a*q = 0?
-1/3, 0
Let b(t) be the second derivative of -t**6/6 + 11*t**5/20 + 13*t**4/12 - t**3/2 + 4*t - 5. Factor b(w).
-w*(w - 3)*(w + 1)*(5*w - 1)
Let k(d) be the second derivative of 7/27*d**3 - 37*d + 2/3*d**2 + 0 + 0*d**4 - 1/90*d**5. Factor k(g).
-2*(g - 3)*(g + 1)*(g + 2)/9
Let q(a) = 244*a**3 - 2400*a**2 + 7677*a - 8189. Let d(m) = -246*m**3 + 2400*m**2 - 7678*m + 8190. Let k(n) = 3*d(n) + 2*q(n). Suppose k(j) = 0. What is j?
16/5
Factor 90*f**3 - 9*f**3 + 5*f**5 + 0*f**5 - 85*f**4 + 69*f**3.
5*f**3*(f - 15)*(f - 2)
Let x(t) be the first derivative of -2*t**6/21 + 2*t**5/7 - 2*t**4/7 + 2*t**3/21 + 464. Factor x(d).
-2*d**2*(d - 1)**2*(2*d - 1)/7
Factor 1/5*s**2 + 2*s + 9/5.
(s + 1)*(s + 9)/5
Let c = 14465/7 - 2066. Solve 0 - 8*g**2 - 16/7*g - c*g**4 - 25/7*g**3 = 0.
-4, -1/3, 0
Let n(b) be the second derivative of b**5/15 - b**4/3 + 2*b**3/3 - 5*b**2 - 6*b. Let k(u) be the first derivative of n(u). Find y such that k(y) = 0.
1
Let o be ((-410)/45 + 9)/((-2)/9). Let u be 124/(-42) + 3 + 2/7. Solve -1/3 + u*k**2 - o*k = 0.
-1/2, 2
Let g(z) be the third derivative of 0*z + 1/70*z**7 - 1/2*z**4 + 1/40*z**6 + 4*z**3 + 0 - 9*z**2 - 3/10*z**5. Determine b so that g(b) = 0.
-2, 1, 2
Factor -110/13*y + 2*y**2 - 2/13*y**3 + 150/13.
-2*(y - 5)**2*(y - 3)/13
Let -8*w**3 + 22/3*w**2 + 2/3*w**4 + 0 + 0*w = 0. What is w?
0, 1, 11
Let k(h) = -h**2 - 22*h + 5. Let o be k(-22). Let a = 9 - 9. Factor 2/3*m**3 + a*m**2 + 0 - 4/3*m**4 + 2/3*m**o + 0*m.
2*m**3*(m - 1)**2/3
Let f(l) = l + 14. Let s be f(-11). Suppose s*v = 5*v - 4. Find u, given that -3*u**2 + 4*u**2 + 2*u - 6*u - 3*u**v = 0.
-2, 0
Let s be 2*(3/(-2) + 3). Factor 1 + 686*p**s - 123*p**2 + 711*p**2 + 168*p + 17 - 2.
2*(7*p + 2)**3
Let q be -6 - 157/(-12) - 7. Let m(f) be the second derivative of q*f**4 + 0*f**3 + 0*f**2 + 0 - f + 1/40*f**5. Factor m(k).
k**2*(k + 2)/2
Let m = 97/108 - -163/540. Solve 2/5*r - m*r**2 + 6/5*r**4 + 8/5*r**5 + 0 - 2*r**3 = 0.
-1, 0, 1/4, 1
Let p(d) = 16*d**3 - 51*d**2 + 13*d - 10. Let t be p(3). Let 2/3*r + 2/9*r**4 - 4/9 + 2/9*r**t - 2/3*r**3 = 0. Calculate r.
-1, 1, 2
Let z(n) be the third derivative of n**7/735 + 13*n**6/420 - n**5/14 - 13*n**4/84 + 2*n**3/3 - 9*n**2 + 4*n. Determine v, given that z(v) = 0.
-14, -1, 1
Let z(r) = 8*r + 7*r + 8 - 3 - 5*r**2. Let u be -1 - 0/(8/((-48)/(-18))). Let i(m) = -m - 1. Let w(o) = u*z(o) - 5*i(o). Solve w(a) = 0.
0, 2
Let q = 17 + -29. Let p be (-22)/q - (-6)/36. Determine l, given that 0 - 1/2*l**5 + 9/2*l**p - 3/2*l**3 + 0*l - 5/2*l**4 = 0.
-3, 0, 1
Let j(h) = -43*h**3 + 20*h**2 + 126*h + 72. Let s(i) = i**3 + i**2 - i. Let z(g) = -j(g) + 6*s(g). Find u, given that z(u) = 0.
-6/7, 2
Let z(x) be the second derivative of 7*x**7/15 + 119*x**6/75 + 67*x**5/50 - 23*x**4/30 - 16*x**3/15 + 4*x**2/5 + 2*x + 5. Find w, given that z(w) = 0.
-1, 2/7
Let s = 1437 - 1429. Let w(k) be the first derivative of -5 - s*k + 2*k**2 + 4/3*k**3. Let w(b) = 0. Calculate b.
-2, 1
Let r(c) = -c**2 + 4. Let f be r(-2). Let b(m) be the third derivative of 0*m**6 - 1/1260*m**7 + m**2 + 1/72*m**4 + f*m**3 + 0*m + 0 + 1/120*m**5. Factor b(q).
-q*(q - 2)*(q + 1)**2/6
Let r(g) be the first derivative of -1/8*g + 1/8*g**3 - 1/8*g**2 - 11. Solve r(u) = 0 for u.
-1/3, 1
Let r(w) be the third derivative of w**8/3864 + 4*w**7/2415 + w**6/345 - 19*w**2. Factor r(m).
2*m**3*(m + 2)**2/23
Let z(o) = -o**2 - 3*o + 1. Let y be (1 - -9) + 2 - 2. Let g(d) = 2 - y*d + d**2 - 3 + 12*d. Let v(w) = 3*g(w) + 2*z(w). Factor v(k).
(k - 1)*(k + 1)
Suppose 4*f = 12*x - 15*x - 663, -3*f - 2*x = 498. Let n = -164 - f. Suppose -2/5 - 2/5*j - 2/5*j**5 - 2/5*j**n + 4/5*j**3 + 4/5*j**2 = 0. What is j?
-1, 1
Suppose -9*f + 193 = 166. Let q(b) be the first derivative of -16/7*b - 1/21*b**3 - f + 4/7*b**2. Factor q(k).
-(k - 4)**2/7
Let x(j) be the first derivative of 5*j**4/4 + 148*j**3/3 - 215*j**2/2 + 62*j + 40. Find d, given that x(d) = 0.
-31, 2/5, 1
Suppose 3*y - 12 + 39 = 0. Let i = y + 11. What is l in -22*l**i - 4*l**3 + 24*l + 14*l**4 - 28*l**3 + 8 + 8*l**3 = 0?
-1, -2/7, 1, 2
Let r be (-4)/(-6) + (-16)/24. Let z(i) be the third derivative of 0*i**3 + 2*i**2 - 1/180*i**6 + r*i**4 + 0*i**5 + 0*i + 0. Suppose z(c) = 0. What is c?
0
Let z(v) be the second derivative of -v**4/22 - 24*v**3/11 - 432*v**2/11 + 70*v. Solve z(m) = 0 for m.
-12
Let u(v) = -v**2 + 21*v - 20. Let w(k) = 2*k + 8. Let a be w(-6). Let c(m) = -4*m + 4. Let j(r) = a*u(r) - 22*c(r). Determine h, given that j(h) = 0.
-2, 1
Let h be -4*(-6)/45 + 14/(-70). Determine x so that 1/6*x - 1/6*x**3 + 1/3 - h*x**2 = 0.
-2, -1, 1
Let c(v) be the second derivative of -v**8/10080 - v**7/1680 - v**6/720 - v**5/720 - v**4/3 - 13*v. Let q(s) be the third derivative of c(s). Factor q(k).
-(k + 1)**2*(4*k + 1)/6
Let g = -