65*r - 103. Let s(q) = -4*q**3 - 60*q**2 + 80*q - 52. Let o(w) = 4*i(w) - 7*s(w). Factor o(c).
4*(c - 3)*(c - 1)**2*(c + 4)
Factor -426/7*l**3 + 0 + 0*l - 212/7*l**2 - 2/7*l**5 - 216/7*l**4.
-2*l**2*(l + 1)**2*(l + 106)/7
Suppose 151*d - 23454 = -11194 - 11656. Suppose 0 = 5*q - 3*q. Suppose -3/4*f**d + 3/4*f + 3/4*f**2 - 3/4*f**3 + q = 0. What is f?
-1, 0, 1
Let q(b) be the third derivative of -1/60*b**6 - 2/5*b**5 + 1 - b**2 + 0*b - 3*b**4 + 0*b**3. Determine k, given that q(k) = 0.
-6, 0
Let f(b) be the second derivative of b**6/15 + 6*b**5/5 - 16*b**4 + 208*b**3/3 - 144*b**2 - 446*b. Find u such that f(u) = 0.
-18, 2
Let u(m) be the first derivative of -m**5/40 - 19*m**4/8 - 361*m**3/4 - 6859*m**2/4 - 80*m + 55. Let o(j) be the first derivative of u(j). Factor o(x).
-(x + 19)**3/2
Let x = -15 - 4113. Let f be (x/(-54))/(-16) - -5. Let -2/9*y + 2/9*y**2 + 0 + 2/9*y**3 - f*y**4 = 0. What is y?
-1, 0, 1
Let j(t) be the second derivative of 0 + 201*t - 3/40*t**6 - 1/12*t**3 + 5/48*t**4 + 3/40*t**5 + 0*t**2. Solve j(x) = 0 for x.
-2/3, 0, 1/3, 1
Find n such that -1831*n**5 + 187*n**3 - 183*n**3 + 748*n**2 + 1827*n**5 - 748*n**4 = 0.
-187, -1, 0, 1
Let y(x) be the second derivative of -5/3*x**3 + 1/80*x**5 - 7/2*x**2 + 160*x + 0 - 11/48*x**4. Suppose y(j) = 0. What is j?
-2, -1, 14
Let m(g) be the third derivative of g**7/1050 + 49*g**6/600 + 11*g**5/15 + 3637*g**2. Let m(p) = 0. Calculate p.
-44, -5, 0
Let n = -4173 - -4177. Let z(q) be the second derivative of 2*q**2 - 1/3*q**3 + 9*q - 1/6*q**n + 0. Solve z(h) = 0.
-2, 1
Let d be (252/(-1050))/(10/(-25)). Let q(z) be the second derivative of 1/10*z**4 + 1/15*z**3 + 0 + 11*z - d*z**2 - 1/50*z**5. Factor q(g).
-2*(g - 3)*(g - 1)*(g + 1)/5
Let l(d) = 35*d + 93*d - 2*d**2 - 33*d - d**2 - 60. Let g be l(31). What is t in 0 - 10/3*t**4 - 8/3*t**g + 0*t - 4*t**5 + 8*t**3 = 0?
-2, 0, 1/2, 2/3
Let t = -814 - -834. Suppose 16 = 18*h - t. Factor 3/7*q**h - 12/7 + 9/7*q.
3*(q - 1)*(q + 4)/7
Let k(c) be the first derivative of c**3 + 75*c**2/2 + 138*c - 2874. Factor k(y).
3*(y + 2)*(y + 23)
Let n(c) = -24*c + 27 - 3*c - 19*c**3 - 3*c**2 + 5*c**2 + 6*c**2. Let t(p) = 7*p**3 - 3*p**2 + 9*p - 9. Let d(a) = 4*n(a) + 11*t(a). Factor d(i).
(i - 3)*(i - 1)*(i + 3)
Let d(x) be the third derivative of x**6/165 + 11*x**5/30 + 367*x**4/66 + 16*x**3/3 - 1028*x**2 - 2. Solve d(i) = 0.
-22, -8, -1/4
Let a = -62665 + 62669. Factor -4/3*l**2 + a*l + 0 + 4/3*l**4 - 4*l**3.
4*l*(l - 3)*(l - 1)*(l + 1)/3
Let n = -5 - 9. Let v be (-32)/(-14) - (-4)/n. Let 18*d**2 + 4*d**3 - 3*d**3 - 17*d**v = 0. Calculate d.
-1, 0
Let y(r) = r**2 + 199*r - 798. Let k be y(4). Let b(t) be the third derivative of 0*t**3 + k*t**2 + 0 - 1/90*t**5 + 0*t + 1/9*t**4. Factor b(m).
-2*m*(m - 4)/3
Let z(k) be the third derivative of 1/30*k**5 + 11/24*k**4 - 1/120*k**6 - 8*k**2 - 2*k**3 + 0 + 0*k. Factor z(l).
-(l - 4)*(l - 1)*(l + 3)
Let w = 3545 - 3537. Let m(y) be the first derivative of 7/6*y**4 + w + 4/15*y**5 + 2*y**3 + 5/3*y**2 + 2/3*y. Let m(a) = 0. Calculate a.
-1, -1/2
Let n(d) = -d**4 - 120*d**3 + 918*d**2 + 6*d - 6. Let q(b) = -3*b**4 - 240*b**3 + 1836*b**2 + 14*b - 14. Let o(w) = 7*n(w) - 3*q(w). What is p in o(p) = 0?
0, 9, 51
Let u be ((-66)/4)/(2/(-4)). Suppose 7*h - 24 = -h. Find m such that -4*m + 12*m**3 + u*m**3 + 30*m**2 + 23*m**h + 42*m**4 + 8*m = 0.
-1, -1/3, -2/7, 0
Let k(t) be the first derivative of t**4/2 + 2*t**3 - 9*t**2 + 10*t + 2531. Suppose k(u) = 0. What is u?
-5, 1
Factor -11*p**2 - 4383 - 368*p + 4395 + 676*p**2 + 791*p**2.
4*(14*p - 3)*(26*p - 1)
Let x(t) be the first derivative of -t**6/6 + 12*t**5/5 - 5*t**4 - 110*t**3/3 + 21*t**2/2 + 98*t + 1005. Solve x(w) = 0 for w.
-2, -1, 1, 7
Find r such that -32 - 109*r**2 - 7*r + 120*r**2 + 13*r = 0.
-2, 16/11
Let g be (5 + -4)*1/((-2)/(-6)). Suppose 5*f + 0*f - t = 20, g*f - 14 = t. Determine u so that -1 - 3*u**f - 551*u + u**4 + u**3 + 553*u = 0.
-1, 1
Let o(w) be the first derivative of 5*w**6/6 + 7*w**5 + 65*w**4/4 + 5*w**3/3 - 35*w**2 - 40*w - 5187. Let o(c) = 0. Calculate c.
-4, -2, -1, 1
Let s(f) = 2*f**4 - f**3 - f. Let d(h) = 46*h**2 + 5*h**3 + 4413*h**4 + 35*h**3 - 4407*h**4 - 4*h. Let r(i) = d(i) - 4*s(i). Find t such that r(t) = 0.
-1, 0, 23
Let d(a) = -a**3 - 28*a**2 + 30*a + 31. Suppose -4*k - 12 = 0, -2*q + 5*k - 9 = 34. Let r be d(q). Factor -1/8*j**r + 0 - 1/4*j.
-j*(j + 2)/8
Suppose -2*s = 2*b - 24, 1375*s - 1377*s + 36 = 3*b. Factor 361/9*n + 38/9*n**2 + 1/9*n**3 + s.
n*(n + 19)**2/9
Let h be -1 + (-27)/(-15) - (-8)/540*-39. Let c(r) be the first derivative of h*r**3 - 4/3*r - 1/3*r**2 - 22. Suppose c(k) = 0. What is k?
-1, 2
Let i(f) be the third derivative of -f**6/2160 - 7*f**5/240 - 5*f**4/36 + 74*f**3/3 + 289*f**2. Let z(o) be the first derivative of i(o). Factor z(a).
-(a + 1)*(a + 20)/6
Let n(r) = 44*r**3 + 152*r**2 + 514*r - 1394. Let i(v) = 38*v**3 + 151*v**2 + 515*v - 1395. Let h(l) = -6*i(l) + 5*n(l). Suppose h(p) = 0. What is p?
-10, 7/4
Let z(y) be the third derivative of -1/12*y**5 + 0 + 0*y**3 - 1/24*y**6 + 5/24*y**4 + 1/42*y**7 + y - 109*y**2. Factor z(v).
5*v*(v - 1)**2*(v + 1)
Let q(n) be the second derivative of 13*n**5/10 - 50*n**4 - 289*n**3/3 + 24*n**2 + 7168*n. Let q(j) = 0. Calculate j.
-1, 1/13, 24
Let h(c) be the third derivative of 1/100*c**6 + 0*c - c**2 + 0*c**3 - 1/50*c**5 - 21 + 0*c**4. Factor h(f).
6*f**2*(f - 1)/5
Let a(y) = 379*y**3 - 409*y**3 + 3 + 60*y**2 - 3 + 4*y**4. Let c(f) = -17*f**4 + 118*f**3 - 240*f**2. Let t(j) = -9*a(j) - 2*c(j). Factor t(v).
-2*v**2*(v - 15)*(v - 2)
Let a be (-30)/(-4)*((-2548)/42 + 11). Let t = a + 400. What is u in 115/4*u + t*u**2 + 15/2 + 25/4*u**3 = 0?
-3, -1, -2/5
Factor -53*t**2 - 4*t**3 + 6*t**3 + 164*t**2 + 37*t + 170 + 55*t**2 - 375*t.
2*(t - 1)**2*(t + 85)
Let g(o) be the first derivative of o**5/20 + o**4/4 - o**3/2 - 9*o**2/2 - 27*o/4 - 3812. Factor g(r).
(r - 3)*(r + 1)*(r + 3)**2/4
Let x(y) be the third derivative of -y**8/3360 - y**7/420 + y**6/36 - 5*y**4/24 - 13*y**3/6 - 224*y**2. Let i(k) be the second derivative of x(k). Factor i(f).
-2*f*(f - 2)*(f + 5)
Let h be 9588/1128 - (-447)/(-54). Solve -18 - 4*i - h*i**2 = 0.
-9
Let k = 609/2 + -303. Let j(t) be the second derivative of 11*t + 0*t**2 + 0 + 0*t**3 + 5/6*t**6 + 3/4*t**4 - k*t**5. Find v such that j(v) = 0.
0, 3/5
Factor -211*u - 106*u**2 + 0 - 1/4*u**3.
-u*(u + 2)*(u + 422)/4
Let d = -311 - -330. Suppose 9*i + d*i = 168. Factor 1/2*s**4 + 3/2 - 5*s - 3*s**3 + i*s**2.
(s - 3)*(s - 1)**3/2
Let n = -28 - -54. Suppose y + 10 = -0*y - 4*c, -5*c - n = -y. Factor 1 + y*j**2 + 3*j**2 - 3*j**3 - 3*j**4 + 3*j - 7.
-3*(j - 1)**2*(j + 1)*(j + 2)
Let k(j) be the second derivative of j**5/10 + 11*j**4/6 - 56*j**3/3 + 60*j**2 - 491*j + 1. Factor k(f).
2*(f - 2)**2*(f + 15)
Let z(u) be the second derivative of -6*u**2 + 0 - 2*u + 2/225*u**5 + 2/45*u**3 - 1/20*u**4. Let a(i) be the first derivative of z(i). What is p in a(p) = 0?
1/4, 2
Let l(q) be the second derivative of -q**7/168 - 29*q**6/60 + 261*q**5/40 - 109*q**4/12 - 2665*q**3/24 - 825*q**2/4 - 1009*q - 1. Find r, given that l(r) = 0.
-66, -1, 5
Let f be (30/1)/(-5) + -4. Let i = 13 + f. Let i*c**4 - 7*c**5 - 24*c**2 + 21*c**4 - 2*c**3 + 17*c**5 - 8*c = 0. Calculate c.
-2, -1, -2/5, 0, 1
Let o(p) = -59*p**4 + 201*p**3 - 205*p**2 + 54*p - 2. Let s(b) = 2*b**3 - 2*b**2 - b. Let x(d) = -2*o(d) + 22*s(d). Factor x(j).
2*(j - 1)**3*(59*j - 2)
Let s(r) be the second derivative of 10*r**4/3 + 34*r**3 + 88*r**2 - 5920*r. Determine t so that s(t) = 0.
-4, -11/10
Let n = -666233/2 + 333117. Let p = 2 + -3/2. Factor n + p*x**2 - x.
(x - 1)**2/2
Let f(z) be the first derivative of -49/5*z**2 - 1/30*z**4 - 14/15*z**3 + z + 14. Let b(x) be the first derivative of f(x). Find i such that b(i) = 0.
-7
Let h be (-3 - -5)*(4 + -2 - 1). Let u be 3*6/(-117) + (-80)/(-13). Factor -3*p**3 + 3*p**h + 6*p**3 + 0*p**3 - u*p.
3*p*(p - 1)*(p + 2)
Let k(i) be the first derivative of 4*i**5/5 + 3*i**4 - 4*i**3/3 - 6*i**2 - 165. Let k(o) = 0. Calculate o.
-3, -1, 0, 1
Suppose -136 + 1596 = 46*y + 319*y. Suppose -2/5*v**y + 28/5*v**2 - 22/5*v + 6/5 + 2/5*v**5 - 12/5*v**3 = 0. What is v?
-3, 1
Suppose -20 = -2*x + 6*x. Let r = -12 - x. Let f(c) = 5*c**2 + 4*c - 8. Let p(u) = 9*u**2 + 7*u - 15. Let q(b)