d w such that 12/5*w + 182/5*w**2 + 0 + 66/5*w**4 - 52*w**3 = 0.
-2/33, 0, 1, 3
Let c(j) be the third derivative of j**6/30 + 4*j**5/15 + 5*j**4/6 + 4*j**3/3 - 71*j**2. Factor c(g).
4*(g + 1)**2*(g + 2)
Factor 8 + 9/2*y + 1/4*y**2.
(y + 2)*(y + 16)/4
Let b(i) be the third derivative of -1/105*i**7 + 0*i - 16/3*i**3 + 14*i**2 - 1/30*i**5 + 0 - 1/10*i**6 + 2*i**4. Factor b(w).
-2*(w - 1)**2*(w + 4)**2
Let t(j) be the second derivative of -1/2*j**3 - 5*j + 0*j**4 + 0*j**2 + 0*j**6 + 3/10*j**5 - 1/14*j**7 + 0. Solve t(k) = 0 for k.
-1, 0, 1
Let y(o) = 5 - 3*o + 2*o**2 + o**2 - 3*o**2 - 2*o**2. Let g(v) = 4*v**2 + 5*v - 9. Let h(a) = -3*g(a) - 5*y(a). Let h(f) = 0. What is f?
-1, 1
Let t(v) be the second derivative of -1/4*v**4 + 2*v**2 + 0 + 10/3*v**3 + 49/30*v**6 - 20*v - 7/2*v**5. Factor t(x).
(x - 1)**2*(7*x + 2)**2
Let m = -25 - -15. Let r = 12 + m. Factor 0*n**4 + 4*n**3 + n**2 - 4*n + 3*n**r - 3*n**4 - n**4.
-4*n*(n - 1)**2*(n + 1)
Let d be (6/(-21))/((-112)/49). Let p(q) be the third derivative of 0*q**5 + 4*q**2 + 0*q + 1/3*q**3 - 1/120*q**6 + 0 + d*q**4. Solve p(j) = 0.
-1, 2
Let d(f) be the second derivative of 1/20*f**5 + 0 + 1/6*f**4 + 1/6*f**3 + 0*f**2 - 43*f. Suppose d(u) = 0. What is u?
-1, 0
Let x(l) = l + 4*l - 8*l + 6 + 0*l - l**2. Let r be x(-4). What is d in -16/7*d - 4/7*d**3 - 16/7*d**r + 0 = 0?
-2, 0
Factor 8649/7 - 186/7*z + 1/7*z**2.
(z - 93)**2/7
Let k(r) be the first derivative of r**7/4620 + r**6/990 + 22*r**3/3 + 2. Let s(w) be the third derivative of k(w). Factor s(b).
2*b**2*(b + 2)/11
Let f be 12/(-8) + (-3)/(-2). Let y(u) be the first derivative of -1/8*u**6 + 3 - 4*u**3 + f*u**4 + 3/5*u**5 + 0*u + 6*u**2. Find g, given that y(g) = 0.
-2, 0, 2
Solve 12*l**2 + 3*l**2 - 23*l**2 + 26*l**2 + 2*l**3 = 0 for l.
-9, 0
Let s(t) be the first derivative of t**7/420 + t**6/36 - 11*t**5/30 + 4*t**4/3 - 23*t**3/3 - 39. Let j(u) be the third derivative of s(u). Solve j(f) = 0 for f.
-8, 1, 2
Suppose -4*r - 3*f + 67 = -2, -4*r + 2*f + 74 = 0. Suppose -12 = -26*u + 22*u. Solve -u*n - 5*n + 2*n**2 + r*n + 8 = 0.
-4, -1
Suppose k = 2*k + 109. Let f = 113 + k. Let 3/5*a**3 + 0*a + 0 + 2/5*a**2 + 1/5*a**f = 0. What is a?
-2, -1, 0
Suppose -12*m + 19*m = 42. Suppose m*c - 14*c = -24. Factor -x + 1/2*x**c + 0 + 1/2*x**2.
x*(x - 1)*(x + 2)/2
Let o(s) = 48*s**2 - 558*s + 2016. Let i(k) = 3*k**2 - 35*k + 126. Let w(q) = 33*i(q) - 2*o(q). Suppose w(n) = 0. Calculate n.
6, 7
Factor -36 - 210*h - 352*h**2 - 342*h**3 + 632*h**3 - 418*h**3.
-2*(h + 2)*(8*h + 3)**2
Let l(m) be the second derivative of -5/18*m**3 + 19*m + 1/3*m**2 + 0 - 7/36*m**4. Factor l(k).
-(k + 1)*(7*k - 2)/3
Let f(o) be the second derivative of -o**8/23520 + o**7/8820 + o**6/630 - o**5/105 + 5*o**4/12 - 6*o. Let y(r) be the third derivative of f(r). Factor y(u).
-2*(u - 2)*(u - 1)*(u + 2)/7
Let x be (-4 + 4)/((-10)/(0 + 10)). Suppose x*l + 1/6*l**3 - 1/3*l**4 + 0 + 1/3*l**2 - 1/6*l**5 = 0. What is l?
-2, -1, 0, 1
Suppose 3407*d - 6 = 3405*d. Let w(y) be the first derivative of y**2 + 5 - y**4 + 1/3*y**6 - 8/15*y**d + 4/5*y + 4/25*y**5. Solve w(l) = 0.
-1, -2/5, 1
Let k = 288 - 204. Let h = 86 - k. Factor 2/3*q**h + 0 + 4/3*q.
2*q*(q + 2)/3
Let 49 + 1/3*j**2 + 148/3*j = 0. Calculate j.
-147, -1
Let i(k) be the first derivative of k**5/20 + k**4/16 - k**3/2 - k**2/2 + 2*k - 19. Determine n so that i(n) = 0.
-2, 1, 2
Let p = 4/187 + 541/935. Let k = 207 - 1032/5. Factor -k*n**4 + p*n**2 - 3/5*n**3 + 3/5*n**5 + 0 + 0*n.
3*n**2*(n - 1)**2*(n + 1)/5
Let z(i) = -6*i**2 - 10*i - 25. Let v(k) = -3*k**2 - 6*k - 12. Let r(n) = 7*v(n) - 3*z(n). Factor r(p).
-3*(p + 1)*(p + 3)
Factor -2/5*p**3 - 114*p**2 - 10830*p - 342950.
-2*(p + 95)**3/5
What is r in 5/3*r**3 - 2 + 7/3*r + 6*r**2 = 0?
-3, -1, 2/5
Let u(l) = l**2 - 2*l - 21. Let q be u(6). Factor 2 - 37*a - 5*a**4 - 182 + 50*a**q - 65*a**2 - 263*a.
-5*(a - 6)**2*(a + 1)**2
Let x(n) be the first derivative of n**6/12 - 3*n**5/10 + n**4/4 + 150. Solve x(k) = 0 for k.
0, 1, 2
Let z(p) be the third derivative of p**7/420 + p**6/60 + p**5/30 + 23*p**3/6 - 22*p**2. Let j(s) be the first derivative of z(s). Factor j(l).
2*l*(l + 1)*(l + 2)
Suppose -1 = 7*s - 6*s. Let u(x) = x**2 - 1. Let q(p) = -11*p**2 + 35*p**2 - 1 + 20*p + 29*p**2. Let h(m) = s*q(m) + 3*u(m). Let h(t) = 0. What is t?
-1/5
Let y(w) be the first derivative of -7 + 1/6*w**4 + 0*w**3 + 3*w - w**2. Let m(l) be the first derivative of y(l). Factor m(p).
2*(p - 1)*(p + 1)
Let a(h) = -5*h**3 - 37*h**2 + 77*h - 47. Let d(i) = -i**3 + i**2 - 2*i - 1. Let o(y) = -a(y) + 4*d(y). Solve o(w) = 0 for w.
-43, 1
Let k be 7/(-21) - (-5)/6. Suppose 4*p - 33 = -13. Factor 0*x - 1/2*x**3 + 0 + 1/2*x**p + k*x**4 - 1/2*x**2.
x**2*(x - 1)*(x + 1)**2/2
Suppose -19 = g - 39 + 17. Solve -2/5*m**4 + 6/5*m**2 - 2/5*m**g - 4/5 + 2/5*m = 0 for m.
-2, -1, 1
Let a(n) = n**3 + n**2 - n + 1. Let l(q) = 2*q**3 - 28*q**2 + 54*q - 26. Let u(v) = -3*a(v) + 3*l(v). Find i, given that u(i) = 0.
1, 27
Let z(c) be the first derivative of -4*c**6/21 + 6*c**5/7 + 12*c**4/7 + 10*c**3/21 - 17. Let z(f) = 0. Calculate f.
-1, -1/4, 0, 5
Let t(z) = -141*z - 6. Let j(w) = w**2 - 285*w - 14. Let f(g) = 3*j(g) - 7*t(g). Factor f(c).
3*c*(c + 44)
Let d(j) be the third derivative of j**6/1260 - j**4/84 - 3*j**3/2 - 3*j**2. Let g(h) be the first derivative of d(h). Factor g(q).
2*(q - 1)*(q + 1)/7
Let f = 59 + -55. Factor -6*x + f*x**2 + 2*x + 5*x - 4 + 0*x - x**3.
-(x - 4)*(x - 1)*(x + 1)
Suppose -3*q = -13 + 7. Suppose 24*g**2 - 16*g**3 - 6 + 4 - 60*g**2 - 24*g - q = 0. Calculate g.
-1, -1/4
Factor -56/5 + 228*t + 164/5*t**2.
4*(t + 7)*(41*t - 2)/5
Suppose z - 4 = -3. Let x(p) = 3*p + 0 - 6*p**2 + 2*p**2 + 7 + 0*p**2. Let b(f) = f**2 - 1. Let s(o) = z*x(o) + 5*b(o). Find l, given that s(l) = 0.
-2, -1
Let k(t) be the third derivative of -t**9/2016 - 3*t**8/2240 - t**7/1120 + 29*t**3/6 + 6*t**2. Let s(d) be the first derivative of k(d). Solve s(f) = 0.
-1, -1/2, 0
Let a = -4/2819 + 59207/5638. Factor 15/2*x**2 + 9/2 + a*x + 3/2*x**3.
3*(x + 1)**2*(x + 3)/2
Let y(h) be the second derivative of -h**5/70 - 4*h**4/21 - h**3/3 - 10*h + 7. Find a such that y(a) = 0.
-7, -1, 0
Let b(d) be the first derivative of -4*d**5/35 - 3*d**4/7 + 40*d**3/21 + 128. Factor b(g).
-4*g**2*(g - 2)*(g + 5)/7
Let d = 559 - 556. Let k(h) be the second derivative of -3/8*h**2 - 9/80*h**5 + 0 - 2*h - 1/8*h**d + 5/16*h**4. Factor k(y).
-3*(y - 1)**2*(3*y + 1)/4
Suppose 12 = -152*z + 158*z. Let h(t) be the first derivative of -5 + 0*t + 1/18*t**z - 1/27*t**3. Find k, given that h(k) = 0.
0, 1
Let v(r) be the second derivative of 98*r**2 + 0 + 22*r + 1/3*r**4 - 28/3*r**3. Factor v(u).
4*(u - 7)**2
Let x be (28/(-42))/((-2)/3). Suppose -x - 12*u + 5 + 7 + 4*u**2 - 3 = 0. What is u?
1, 2
Let f be ((-3)/9*0)/3. Let x(w) be the first derivative of 7 - w**2 + 1/2*w**4 + 0*w + f*w**3. Determine t so that x(t) = 0.
-1, 0, 1
Factor -1564/3*x**2 - 976/3*x - 189*x**3 - 64 + 343/6*x**5 + 931/6*x**4.
(x - 2)*(x + 3)*(7*x + 4)**3/6
Let v(n) = 8*n**3 - 5*n**2 + 13*n. Let z be -2 - (72/60)/((-2)/(-5)). Let p(f) = -f**3 - f. Let w(c) = z*v(c) - 35*p(c). Let w(b) = 0. What is b?
0, 2, 3
Let q = -1/5 + 9/20. Let a(t) be the second derivative of 0*t**2 - 1/10*t**6 + 3/20*t**5 + 0 - 1/2*t**3 - t + q*t**4. Factor a(h).
-3*h*(h - 1)**2*(h + 1)
Let k(v) be the first derivative of -v**6/6 + 4*v**5/5 + 3*v**4/2 - 4*v**3/3 - 5*v**2/2 - 62. Factor k(r).
-r*(r - 5)*(r - 1)*(r + 1)**2
Let u(z) be the second derivative of -z**7/56 - 3*z**6/10 - 27*z**5/16 - 25*z**4/8 + z - 39. Determine r, given that u(r) = 0.
-5, -2, 0
Let r(a) be the third derivative of a**8/504 - a**6/180 - 20*a**2 - 3. Factor r(d).
2*d**3*(d - 1)*(d + 1)/3
Factor -2/13*x**2 + 60/13*x - 450/13.
-2*(x - 15)**2/13
Suppose u = 5*j - 1 - 5, -2 = -3*j + u. Let s be (-3)/36*(41 - 83). What is k in -k**j + 0 + s*k**4 + 0*k + 5/2*k**3 = 0?
-1, 0, 2/7
Let o = -1294/9 + 144. Solve -o*n**2 + 2/9*n**4 + 0 + 2/9*n**3 - 2/9*n = 0.
-1, 0, 1
Let r(u) be the first derivative of u**4/40 + 18*u**3 + 4860*u**2 + 583200*u + 504. Suppose r(f) = 0. What is f?
-180
Let t(f) = 42*f**5 - 20*f**4 + 116*f**2 - 90*f. Let k(z) = -13*z**5 + 7*z**4 - 39*z**2 + 30*z. Let j(n) = -16*k(n) - 5*t(n). Find x, given that j(x) = 0.
-5, -3, 0, 1
Let d