Let n(l) = d*a(l) + 6*y(l). Solve n(t) = 0.
-18
Let q be 14/(-4) - (-22 + 18). Let y(b) be the first derivative of 0*b - 5/16*b**4 + 1/20*b**5 - 1 - q*b**2 + 2/3*b**3. Let y(v) = 0. Calculate v.
0, 1, 2
Let c(g) = g**2 + 11*g + 22. Let q be c(-8). Let h be (2 - 1) + q/3. Factor -1/3 + 1/6*v**3 + h*v**2 - 1/6*v.
(v - 1)*(v + 1)*(v + 2)/6
Solve 118351*n**2 - 39504*n**2 - 592 - 744*n - 39571*n**2 - 39429*n**2 - n**3 = 0 for n.
-148, -4, -1
Let j = -17 + 16. Let t be (-5 - 8)*j + 5. Factor -4*d - 3*d**4 + 4*d + 15 - t + 6*d**2.
-3*(d - 1)**2*(d + 1)**2
Let b be (5/(-15))/((-2)/(-12))*(-1210)/484. Determine f so that 33/8*f**4 + 135/4*f**2 + 81/8 + 243/8*f + 69/4*f**3 + 3/8*f**b = 0.
-3, -1
Let h = -9232/9 + 1026. Suppose 2 = 6*p - 10. Factor 0 - 2/9*b - h*b**p.
-2*b*(b + 1)/9
Let g be (1/(6 + -5))/(2/20). Determine x, given that -g*x + 55*x**2 - 53*x**2 + 48 - 12*x = 0.
3, 8
Factor 1/3*s**4 + 2377/3*s**2 + 40368 + 82/3*s**3 + 9512*s.
(s + 12)**2*(s + 29)**2/3
Let p(h) = -3*h**2 + 101*h - 36. Let q be p(33). Let w be 60/8 + (-75)/q. Determine d, given that -3/8*d**w + 0 + 0*d + 0*d**2 - 9/8*d**4 - 3/4*d**3 = 0.
-2, -1, 0
Factor -323*l + l**4 - 44 - 46363*l**2 - 110 + 46180*l**2 - 13*l**3.
(l - 22)*(l + 1)**2*(l + 7)
Suppose 38265*v = 38244*v + 44 - 2. Factor -v*w**2 - 2/3*w**3 - 2*w - 2/3.
-2*(w + 1)**3/3
Let b(p) be the second derivative of 1/18*p**4 + 0*p**2 + 0 + 59*p - p**3. Factor b(u).
2*u*(u - 9)/3
Let 98*a**2 - 8*a**2 - 2 + 195*a + 42 + 60 - 5*a**3 = 0. Calculate a.
-1, 20
Factor -22/5 - 24/5*m**2 + 9*m + 1/5*m**3.
(m - 22)*(m - 1)**2/5
Suppose 2*a + 23 = -z, -12*a - z - 41 = -8*a. Let d(k) = -k**2 + 6*k + 3. Let l(g) = 2*g**2 - 13*g - 7. Let n(b) = a*d(b) - 4*l(b). Factor n(v).
(v - 1)**2
Factor 5/2*k + 1/6*k**3 - 7/6*k**2 - 3/2.
(k - 3)**2*(k - 1)/6
Factor 8 + 51*p**2 - 8 - 15*p - 15*p + 2*p**4 - 24*p**3 + p**4.
3*p*(p - 5)*(p - 2)*(p - 1)
Let r(a) be the first derivative of -418 - 5*a**3 - 144*a**2 - 2185*a + 318 - 4727*a + 4*a**3. Factor r(t).
-3*(t + 48)**2
Factor -3153*c - 2*c**4 - 45*c**5 + 49*c**5 + 3153*c.
2*c**4*(2*c - 1)
Let z be (0 - (-2 - -12)) + 5 + -4. Let b = 5 - 1. Let t(i) = 17*i**2 - 8*i + 2. Let h(s) = 8*s**2 - 4*s. Let p(u) = b*t(u) + z*h(u). Factor p(d).
-4*(d - 2)*(d + 1)
Factor -160*i**3 + 55*i**2 + 130*i + 168*i**3 - 13*i**3.
-5*i*(i - 13)*(i + 2)
Let z(v) = 61*v**2 + 245*v + 94. Let g(k) = -795*k**2 - 3185*k - 1220. Let u(n) = 3*g(n) + 40*z(n). Factor u(j).
5*(j + 4)*(11*j + 5)
Let v(g) be the third derivative of 5*g**8/336 + g**7/3 + 5*g**6/8 - 55*g**5/6 - 10*g**4/3 + 80*g**3 + 2886*g**2 + 1. Let v(l) = 0. What is l?
-12, -4, -1, 1, 2
Let h(m) be the third derivative of -m**6/240 + 101*m**5/3 - 255025*m**4/3 - 5702*m**2. Suppose h(w) = 0. Calculate w.
0, 2020
Let a(k) be the third derivative of -k**6/120 - k**5/15 + k**4/24 + 2*k**3/3 - 34*k**2. Let j be a(-1). Suppose 3/5*i**3 - 6/5*i**2 + j - 9/5*i = 0. What is i?
-1, 0, 3
Let n(c) be the third derivative of -c**5/120 - 137*c**4/24 + 275*c**3/12 + 6639*c**2. Factor n(a).
-(a - 1)*(a + 275)/2
Find i, given that 1642*i - 580 + 45*i**5 - 4613*i**3 + 1185*i**4 + 1168*i**3 - 271*i + 1075*i**2 + 349*i = 0.
-29, -2/3, 1/3, 1, 2
Let b(v) be the second derivative of 2*v**7/189 + 8*v**6/45 - 17*v**5/45 - 16*v**4/9 + 104*v**3/27 + 1290*v. Solve b(q) = 0.
-13, -2, 0, 1, 2
Let b(u) = u**3 - 3*u**2 + 1. Let y = -38 + 41. Let q be b(y). Determine x so that 4*x - 3*x**2 + 8 - q + x**2 - 1 = 0.
-1, 3
Let j(y) be the second derivative of -12*y**2 + 0 + 40*y + 8/3*y**3 - 1/6*y**4. Let j(v) = 0. What is v?
2, 6
Solve -3/8*q**2 - 21 - 45/8*q = 0 for q.
-8, -7
Let q(j) = -j**3 - 12*j**2 + 5*j - 31. Let x be q(-13). Factor -2452 - x*m - 9*m**3 + 267*m**2 - 101*m + 2452.
-3*m*(m - 29)*(3*m - 2)
Let t = 517441 - 2069761/4. Factor 33/2*b + 69/4 - t*b**2.
-3*(b - 23)*(b + 1)/4
Let g(x) be the second derivative of -x**4/66 - 5*x**3/11 - 26*x**2/11 + 1325*x. Factor g(y).
-2*(y + 2)*(y + 13)/11
Let f be (3 + (-912)/88 - -7)*1/(-4). Let u(k) be the second derivative of -1/33*k**4 + 1/11*k**3 - 8*k + 0 - f*k**2. Determine b so that u(b) = 0.
1/2, 1
Suppose 20 = -3*w + 2*w + 4*s, -w + s = 5. Find u such that -3033*u**3 + 3*u**5 + 3030*u**3 + w*u**5 = 0.
-1, 0, 1
Suppose 2*n + x = n + 4, -2*n - 6 = -5*x. Let b be 10*(-29)/11745*-9. Solve b*k - 2/9*k**n + 4/9 = 0 for k.
-1, 2
Let z(v) = 156*v - 15*v**2 + v**3 - 348*v + 160*v + 3 - 35. Let q be z(17). Factor -3/7*j**q - 3/7*j + 0.
-3*j*(j + 1)/7
Let j(r) = 28*r**3 - 196*r**2 + 2*r - 6. Let b be j(7). Let a(t) be the first derivative of 4/3*t**3 - 20*t - b*t**2 + 4. Determine p so that a(p) = 0.
-1, 5
Let g(i) be the third derivative of i**5/240 + i**4/8 - 85*i**3/24 - 1350*i**2. Suppose g(b) = 0. What is b?
-17, 5
Let i be (3 + -11 + 10 + -4)/(2/(-7)). Let f(g) be the first derivative of i + g**4 + 10*g**2 + 16/3*g**3 + 8*g. Factor f(t).
4*(t + 1)**2*(t + 2)
Let o(a) be the first derivative of 17/4*a**3 + 111 - 15/16*a**4 + 21/4*a - 57/8*a**2. Factor o(s).
-3*(s - 1)**2*(5*s - 7)/4
Let n(p) be the second derivative of p**4/12 - 865*p**3/6 - 433*p**2 + 1330*p. Find k such that n(k) = 0.
-1, 866
Solve -2668*x**3 - 126*x**4 + 30*x**4 - 1064*x**2 + 42*x**4 + 34*x**4 = 0.
-133, -2/5, 0
Let u(q) = 61*q + 549. Let y be u(-9). Let j(p) be the third derivative of 0*p**3 - 4*p**2 + y + 1/50*p**5 - 3/20*p**4 + 0*p. Factor j(k).
6*k*(k - 3)/5
Let q = 254488 - 254486. Factor -2/5*v**3 + 134/5*v + 68/5 + 64/5*v**q.
-2*(v - 34)*(v + 1)**2/5
Let j = -440715 - -440717. Factor -1/3*s**3 - 26/3 + 37/3*s - 10/3*s**j.
-(s - 2)*(s - 1)*(s + 13)/3
Let k(p) be the first derivative of -2/3*p**3 + 16*p**2 - 40*p + 93 - 1/2*p**4. What is l in k(l) = 0?
-5, 2
Let p be (-4)/(-9)*1140/456. Determine d, given that p*d**2 - 8/9*d + 2/3*d**3 + 0 + 2/9*d**5 - 10/9*d**4 = 0.
-1, 0, 1, 4
Let b = 27 - 17. Suppose b*r - 7*r = 57. Factor 37*z - 16*z - r*z - 3*z**3 - 14*z - 12*z**2.
-3*z*(z + 2)**2
Let y(q) be the first derivative of -q**4/6 - 458*q**3/9 - 13447*q**2/3 - 25538*q - 503. Determine b so that y(b) = 0.
-113, -3
Let k(s) = -24 + 88*s**2 + 88*s**2 - 9*s - 179*s**2. Let t(y) = y**2 + 4*y + 11. Let o(b) = 4*k(b) + 9*t(b). Solve o(f) = 0 for f.
-1, 1
Factor -y**2 - 155 + 6*y**2 - 11980420*y - 307 + 37 + 11980840*y.
5*(y - 1)*(y + 85)
Let w be 18/14 + 834/168. Let i(t) be the first derivative of w*t**4 + 65/3*t**3 + 15*t - 21 + 55/2*t**2. Determine b so that i(b) = 0.
-1, -3/5
Let g(u) = 68*u**2 - 4036*u - 2712. Let l(p) = 24*p**2 - 1345*p - 904. Let m(x) = 3*g(x) - 8*l(x). Let m(f) = 0. Calculate f.
-2/3, 113
Determine d, given that -2992/7*d**3 - 1678512/7*d**2 - 418508992/7*d - 39130590752/7 - 2/7*d**4 = 0.
-374
Let o(p) be the second derivative of -p**6/30 - 97*p**5/10 + 787*p**4/12 - 494*p**3/3 + 198*p**2 - 6345*p. Factor o(s).
-(s - 2)*(s - 1)**2*(s + 198)
Let f(l) = -2*l**3 - 16*l**2 + 2*l + 19. Suppose -3*r = 4*t + 36, 5*r + t = -0*t - 43. Let g be f(r). Factor 2/7 + 34/7*k**g - 12/7*k**4 + 6/7*k - 30/7*k**2.
-2*(k - 1)**3*(6*k + 1)/7
Let h = -319 + 319. Suppose 6*b = -h - 0. Find w, given that -2/9*w**3 + b + 0*w + 2/9*w**5 + 2/9*w**2 - 2/9*w**4 = 0.
-1, 0, 1
Let g(r) be the third derivative of 4*r**2 + 53/72*r**4 - 1/60*r**5 + 0 + r**3 - 3*r. Factor g(m).
-(m - 18)*(3*m + 1)/3
Let h = 1571777 + -7858873/5. Factor 9*o**3 - 12/5*o - h*o**4 + 0 - 36/5*o**2.
-3*o*(o - 2)**2*(4*o + 1)/5
Suppose -5*g = -138 - 142. Factor 23*j**2 - g*j**2 + 27*j**2 - 57*j - 27.
-3*(j + 9)*(2*j + 1)
Suppose 0 = -378*v + 371*v + 112. What is d in 4*d**2 - v - 1 - 23 + 36*d = 0?
-10, 1
Let i(l) be the first derivative of -l**4/34 + 52*l**3/51 - 48*l**2/17 - 393. Solve i(g) = 0 for g.
0, 2, 24
Suppose 0 = 3*r + 2*b - 6, 0 = 3*r - 2*b + 6*b. Suppose 4*x - 4*l = 10 + 10, 5*x - 4*l = 22. Factor -r*n**x + 4*n + n**3 - 5*n**3 + 51 - 47 + 0*n.
-4*(n - 1)*(n + 1)**2
Let q(t) = -7*t**2 - 23*t + 30. Let j be ((6/(-5))/(-1))/((-1)/(-5)). Let s(b) = b**2 - 1. Let d(k) = j*s(k) + q(k). Factor d(u).
-(u - 1)*(u + 24)
Let i be -2 - (6 - 0) - (-261)/27. Let q(l) be the first derivative of -i*l - 5 + 5/9*l**3 + 0*l**2. Solve q(s) = 0.
-1, 1
Let o(b) = -3*b + 17. Let u be o(8). Let d = -5 - u. Factor -6*i**d - 2 + 2*i**3 + 27*i**4 - 11*i - 6*i**5 - 11*i**2 - 7*i**4 + 14*i**5.
(i - 1)*(i + 2)*(2*i + 1)**3
Let 