ond derivative of -t**4/18 - 20*t**3/9 - 100*t**2/3 - 7*t + 8. Factor q(i).
-2*(i + 10)**2/3
Let d(r) be the second derivative of 6*r**6/25 - 4*r**5/5 + 13*r**4/15 - 4*r**3/15 + 25*r. Factor d(o).
4*o*(o - 1)**2*(9*o - 2)/5
Let m(q) = -8*q**3 + 171*q**2 - 1440*q + 1280. Let h(f) = -7*f**3 + 169*f**2 - 1440*f + 1280. Let v(a) = -3*h(a) + 2*m(a). Solve v(j) = 0 for j.
1, 16
Let l(g) be the first derivative of 8 - 8/17*g**4 - 64/17*g**3 - 256/17*g**2 - 512/17*g - 2/85*g**5. Factor l(a).
-2*(a + 4)**4/17
Suppose 2/21*u**2 + 8/21 + 10/21*u = 0. What is u?
-4, -1
Let c(f) be the third derivative of 1/30*f**5 + 0*f + 1/12*f**4 + 2*f**2 + 0 - 2/3*f**3. Factor c(b).
2*(b - 1)*(b + 2)
Suppose -1/3*k**5 - 13/3*k**3 + 0 - 3*k**2 + 14/3*k + 3*k**4 = 0. What is k?
-1, 0, 1, 2, 7
Let h = -5396 - -16190/3. Factor 2*p - 8/3 + h*p**2.
2*(p - 1)*(p + 4)/3
Let h(n) be the third derivative of n**6/72 + n**5/12 - 25*n**4/36 - 20*n**3/3 - 2*n**2 - 1. Let h(y) = 0. Calculate y.
-4, -2, 3
Let q(o) be the first derivative of -o**4/4 + 20*o**3/3 - 93*o**2/2 + 126*o + 371. Find i, given that q(i) = 0.
3, 14
Let x = 1685 - 11785/7. Let 8/7 - 2/7*i**4 - x*i**3 - 6/7*i**2 + 10/7*i = 0. What is i?
-4, -1, 1
Suppose 0 = h + v + 2*v, -4*h + 5*v + 34 = 0. Let w be (-2)/h - (-48)/9. Factor 15*k**4 + 9*k**3 + 4*k**2 - 34*k**2 + 3*k**2 + 3*k**w.
3*k**2*(k - 1)*(k + 3)**2
Let g be (-1 + 12/21)/((-930)/1085). Find t such that -g*t**2 + 0 + 0*t - 1/4*t**3 = 0.
-2, 0
Let l(h) be the first derivative of -h**5/15 - 5*h**4/12 + h**3/3 + 13*h**2/6 - 10*h/3 - 8. Suppose l(c) = 0. What is c?
-5, -2, 1
Let -49/2*x**2 - 54*x + 54*x**3 + 22 + 5/2*x**4 = 0. What is x?
-22, -1, 2/5, 1
Let h(b) be the first derivative of -b**5/5 - 3*b**4/2 - b**3 + 5*b**2 - 318. Suppose h(c) = 0. Calculate c.
-5, -2, 0, 1
Let v(j) be the second derivative of 3*j**5/20 + 9*j**4/2 + 48*j**3 + 192*j**2 - 195*j. Let v(c) = 0. What is c?
-8, -2
Let v = -9 + 21. Let t be (-2 + v/8)*4/(-10). Determine b, given that -2/5*b**4 + 0 - 1/5*b + 2/5*b**2 + t*b**5 + 0*b**3 = 0.
-1, 0, 1
Suppose -7 = -10*k + 7*k + m, 7 = 4*k + m. Let t = 1 + 1. Factor -4 - 2*d + k*d - d**t - 2*d + 7.
-(d - 1)*(d + 3)
Suppose 0 = 4*k - 2*k + 4*q + 12, 3*k + 3 = -3*q. Let -8*m**2 + 122*m + 123*m - 4*m**3 + k*m**4 - 245*m = 0. What is m?
-1, 0, 2
Let q(n) = 7*n**2 - 2*n - 2. Let p be q(2). Let x be 56/26 + (168/(-78) - -2). Determine j so that -p*j - 4 - 2*j**2 + 3*j**x - 15*j**2 + 4*j = 0.
-1, -2/7
Suppose -5*j - 35 = -3*q - 2*q, -2*q - 4*j - 4 = 0. Let f(h) = h - 1. Let l be f(q). Let -3*x**l - 5 - 1 - 9*x**2 - 6*x**2 + 3*x**2 - 15*x = 0. Calculate x.
-2, -1
Let 3*b**5 + 150*b**4 - 132*b**4 + 8*b**2 + 23*b**3 + 4*b**2 + 4*b**3 = 0. What is b?
-4, -1, 0
Let o(u) be the second derivative of u**7/7 - 23*u**6/10 + 6*u**5 + 25*u**4/2 - 21*u**3 - 81*u**2/2 - 14*u - 10. Determine l, given that o(l) = 0.
-1, -1/2, 1, 3, 9
Let h(j) be the third derivative of j**5/40 - 19*j**4/8 - 123*j**3/4 - 9*j**2 + 31*j. Solve h(b) = 0 for b.
-3, 41
Let v(a) be the second derivative of 0 + 1/10*a**5 + 7*a + 1/30*a**6 + 0*a**2 - 2/3*a**7 + 0*a**4 + 0*a**3. Solve v(p) = 0.
-1/4, 0, 2/7
Let c(l) be the first derivative of l**6/45 - 2*l**5/5 + 5*l**4/2 - 50*l**3/9 - 183. Factor c(p).
2*p**2*(p - 5)**3/15
Let c(w) be the second derivative of -2*w**7/105 - 4*w**6/5 - 12*w**5 - 200*w**4/3 - 9*w - 4. Factor c(q).
-4*q**2*(q + 10)**3/5
Factor 243/5 + 3/5*b**3 + 9*b**2 + 189/5*b.
3*(b + 3)**2*(b + 9)/5
Let y = -4/397 - -453/5558. Let h(q) be the second derivative of 7*q + 3/50*q**6 - 3/50*q**5 + y*q**7 + 0*q**4 + 0 + 0*q**3 + 0*q**2. Factor h(x).
3*x**3*(x + 1)*(5*x - 2)/5
Factor 2*d + 0 + 1/4*d**2.
d*(d + 8)/4
Solve 1/2 - a**4 + 1/2*a**2 - 5/4*a + 1/4*a**5 + a**3 = 0.
-1, 1, 2
Find d, given that 0*d**2 - 1/3 + 2/3*d**3 + 1/3*d**4 - 2/3*d = 0.
-1, 1
Let v = -72 - -78. Find o such that 8 - 10*o**3 + 3*o**3 + 11*o**3 + 8*o - 26*o**2 + v*o**3 = 0.
-2/5, 1, 2
Let p = 907 - 907. Let t(m) be the second derivative of 8*m + 0*m**3 + 0*m**2 + 1/30*m**5 + p + 1/45*m**6 - 1/9*m**4. Factor t(s).
2*s**2*(s - 1)*(s + 2)/3
Let x be (0 - -14)/(40/32) - 4*-1. Let -12/5*l**5 - 152/5*l**3 - 14/5 - 156/5*l**2 - 14*l**4 - x*l = 0. What is l?
-7/3, -1, -1/2
Factor 1/3*j**2 + 4/3*j - 7.
(j - 3)*(j + 7)/3
Let y be 372/1680*2 + 8/140. Factor y*j**2 - 1/3*j**3 + 0 - 1/6*j.
-j*(j - 1)*(2*j - 1)/6
Let x(r) be the first derivative of -r**4/6 + 4*r**3/3 + 7*r**2/3 - 94. Suppose x(b) = 0. What is b?
-1, 0, 7
Let p(a) be the first derivative of 5*a**4/18 + 26*a**3/27 + 200. Factor p(x).
2*x**2*(5*x + 13)/9
Suppose -16 = 6*w + 8. Let l(p) = p**3 - 14*p**2 - p + 14. Let y(b) = 15*b**2 - 15. Let h(j) = w*y(j) - 5*l(j). What is d in h(d) = 0?
-1, 1, 2
Let u(g) = 19*g**2 - 7*g - 10. Let h be u(-2). Suppose -120*a**3 + 2*a**5 - 7*a**5 + 0*a**5 + 45*a**4 + h*a**2 = 0. What is a?
0, 1, 4
Let i = -19/2 + 55/8. Let f = -17/8 - i. Determine q, given that -f*q**2 + 3/2*q - 3/2*q**3 - 1/2*q**4 + 1 = 0.
-2, -1, 1
Factor 17*k + 40 - 102*k**2 + 106*k**2 - 45*k.
4*(k - 5)*(k - 2)
Let i(o) = 2*o**2 + 3*o - 41. Let v be i(4). Let y(m) be the first derivative of -2/21*m**v + 0*m + 4 + 0*m**2. Factor y(b).
-2*b**2/7
Let p(o) be the third derivative of 0*o - 1/9*o**3 - 1/30*o**4 - 1/450*o**5 - 47*o**2 + 0. Factor p(b).
-2*(b + 1)*(b + 5)/15
Factor 5/2*y**2 + 75/2 - 5/2*y**3 + 85/2*y.
-5*(y - 5)*(y + 1)*(y + 3)/2
Let y be (-13)/(-1) + (0 - -5). Factor -27*a**4 + y*a - 6*a**3 - 12*a - 28*a**2 + 55*a**2.
-3*a*(a - 1)*(a + 1)*(9*a + 2)
Let h(u) = 4*u**2 + 14*u + 4. Let y(v) = v**2 + 2*v. Let s(o) = -h(o) + 6*y(o). Solve s(p) = 0.
-1, 2
Suppose -52 = 2*u - 4*u + 4*q, -5*q + 5 = 0. Let i = 30 - u. Find l, given that 3/2*l - 3/4*l**i + 0 = 0.
0, 2
Let v(a) be the third derivative of a**9/3024 + a**8/672 - a**4/6 + 7*a**2. Let z(f) be the second derivative of v(f). Factor z(d).
5*d**3*(d + 2)
Let k(l) be the third derivative of l**8/588 - l**7/735 - 11*l**6/210 - 5*l**5/42 + l**4/42 + 8*l**3/21 + 4*l**2 - 8. Find x such that k(x) = 0.
-2, -1, 1/2, 4
Let g be (-15)/21*(-2 - 5). Factor 15/2*y**3 + 0 + 9/2*y**2 + 3/2*y**4 - 3/2*y**g + 0*y.
-3*y**2*(y - 3)*(y + 1)**2/2
Let q(k) = -2*k**2 + 332*k - 15484. Let t(m) = -2*m**2 + 337*m - 15485. Let i(a) = -3*q(a) + 4*t(a). Factor i(y).
-2*(y - 88)**2
Let x(f) be the first derivative of -f**3/6 - 9*f**2/4 + 35*f - 289. Factor x(y).
-(y - 5)*(y + 14)/2
Suppose -3*s = 3*r - 21, 318*s - 314*s = 20. Factor -1/2*t**r - 3/2*t - 1.
-(t + 1)*(t + 2)/2
Let r(q) be the third derivative of -q**6/280 - 11*q**5/140 - 5*q**4/8 - 25*q**3/14 - 92*q**2. Factor r(x).
-3*(x + 1)*(x + 5)**2/7
Let i(o) be the first derivative of -o**5/15 + 4*o**4 - 96*o**3 - 4*o**2 + 3*o + 40. Let h(b) be the second derivative of i(b). Factor h(r).
-4*(r - 12)**2
Let u(x) be the first derivative of 2*x**5/55 + 9*x**4/22 + 46*x**3/33 + 15*x**2/11 + 98. Factor u(l).
2*l*(l + 1)*(l + 3)*(l + 5)/11
Let w be 14*1/4*(-4)/(-8). Let j = 13/4 - w. What is g in 0*g**2 + 0*g - j*g**5 + 0*g**3 - 3/2*g**4 + 0 = 0?
-1, 0
Let -29*f**2 - 2598*f**4 - 34*f + 10*f + 2599*f**4 - 4*f**3 = 0. Calculate f.
-3, -1, 0, 8
Let c(q) be the second derivative of -q**6/960 + q**5/480 + q**4/192 - 3*q**3 - 7*q. Let y(n) be the second derivative of c(n). Find l such that y(l) = 0.
-1/3, 1
Let y = 13 - 16. Let h(b) = -16*b**2 + 23*b - 11. Let m(p) = 8*p**2 - 11*p + 5. Let a(r) = y*h(r) - 7*m(r). Factor a(f).
-2*(2*f - 1)**2
Let h(l) = l**3 + 14*l**2 - l - 11. Let i = -22 - -8. Let f be h(i). Factor u**5 + u**5 - 4*u**5 + 6*u**4 - 6*u**f + 2*u**2.
-2*u**2*(u - 1)**3
Let w(t) = 4*t + 66. Let n be w(-16). Let z(y) be the first derivative of -6 - 1/9*y**3 - 3*y + y**n. Determine s, given that z(s) = 0.
3
Suppose 4*t = -3*x - 29, -3*x + x = -5*t - 42. Let g(b) = -b - 6. Let q be g(t). Find j such that -5*j**2 - 4*j - j**2 + 4 + 7*j**q = 0.
2
Let k = -190864/7 - -27268. Factor k - 8/7*o - 1/7*o**2 + 1/7*o**3.
(o - 2)**2*(o + 3)/7
Let q(a) = -a**3 - 6*a**2 + 7*a + 15. Let v be q(-7). Solve -v*j**3 + 187 + 10*j**2 - 197 + 13*j + 2*j = 0 for j.
-1, 2/3, 1
Let u(i) be the second derivative of -25*i - 2/3*i**3 + 0 + 1/5*i**5 + 0*i**2 + 0*i**4. Solve u(y) = 0.
-1, 0, 1
Let h(z) = -12*z**3 - 32*z**2 + 12*z - 8. Let q(v) = v**3 + 2*v**2 + v + 1. Let o(x) = -h(x) - 8*q(x). Find u