*a - 1)/9
Let q(c) = -2*c**3 + 71*c**2 - 7*c - 89. Let k(i) = i**3 - 35*i**2 + 4*i + 45. Let z(n) = -18*k(n) - 10*q(n). Factor z(u).
2*(u - 40)*(u - 1)*(u + 1)
Let 15*s - 807 + 14*s + s**3 + 805 - 47*s + 17*s + 3*s**2 - s**4 = 0. What is s?
-1, 1, 2
Let i(c) be the third derivative of c**7/35 + 47*c**6/150 + 53*c**5/50 + 3*c**4/5 - 6*c**2 - 2*c. Solve i(u) = 0 for u.
-3, -4/15, 0
Suppose 3*q - 16 = -4*u, -3*u + 19 = 4*q - 0*u. Suppose 2 + 10 = -2*w - 4*y, -q*w = -5*y - 28. Factor -5*k**4 + k**3 - 25*k**w + 3*k**5 + 26*k**2 + 0*k**5.
k**2*(k - 1)**2*(3*k + 1)
Let p(v) be the first derivative of -v**4/6 - 4*v**3 + 13*v**2 + 20*v - 50. Let y(d) be the first derivative of p(d). Factor y(g).
-2*(g - 1)*(g + 13)
Suppose -r = 2*w - 37 - 55, 3*r + 12 = 0. Suppose -p - 46 = -w. Factor -4*g**p + 43*g - 3*g - g**2.
-5*g*(g - 8)
Let p be 14/(-6)*(-6 - 252/(-49)). Factor -5/4*h**p + 15/4*h + 5.
-5*(h - 4)*(h + 1)/4
Suppose -5*o - 110 = -5*s, -3*s + 5*o = -6*s + 50. Let r be 24*5*29/58. Find z such that -r*z**2 - s*z + 18*z**4 + 15*z**3 + 62*z**4 - 40*z**2 + 25*z**5 = 0.
-2, -1/5, 0, 1
Let p(i) be the first derivative of 7*i**5/5 - 8143*i**4/4 + 2365246*i**3/3 + 847974*i**2 - 677448*i + 1096. Suppose p(t) = 0. Calculate t.
-1, 2/7, 582
Let g(r) = r**2 + 9. Let z(j) = -4*j**2 - 1522*j + 1466. Let h(w) = -6*g(w) - z(w). Factor h(k).
-2*(k - 760)*(k - 1)
Solve 88/7*z + 248/7*z**3 + 6/7*z**4 - 428/7*z**2 + 86/7 = 0 for z.
-43, -1/3, 1
Factor 46/5*l - 21/5 - 28/5*l**2 + 2/5*l**3 + 1/5*l**4.
(l - 3)*(l - 1)**2*(l + 7)/5
Factor -70*l**4 + 836*l**3 - 11*l**4 + 512 - 4*l**5 + 80*l**4 + 101*l**4 + 1648*l + 1868*l**2.
-4*(l - 32)*(l + 1)**3*(l + 4)
Let x(o) = 4*o**4 + 184*o**3 + 424*o**2 - 36*o - 36. Let i(v) = 2*v**3 - v**2 - v - 1. Let p(n) = 36*i(n) - x(n). Factor p(j).
-4*j**2*(j + 5)*(j + 23)
Let d be ((-4)/(-16))/(225/30 - 7). Factor 0 + 1/2*l**3 - l - d*l**2.
l*(l - 2)*(l + 1)/2
Let z(m) be the first derivative of 2*m**3/15 - 2474*m**2/5 + 3060338*m/5 + 5591. Determine t so that z(t) = 0.
1237
Suppose 3*y + w - 13 = 0, -2*y + 1419 = 5*w + 1432. Let -3/7*s**2 - y - 27/7*s = 0. Calculate s.
-7, -2
Let y(t) be the third derivative of t**5/210 - 5*t**4/7 + 207*t**2 - 3*t. Factor y(r).
2*r*(r - 60)/7
Suppose -2*v - 2 = f + f, -5*f + v = -19. Suppose 0 = 5*o - 17 + 2. Factor 13 - 30*n**o - 17 - 88*n**2 - 32*n - 36*n**4 - 66*n**f.
-4*(n + 1)**2*(3*n + 1)**2
Find i, given that -18/5*i + 8/15*i**5 - 28/15 + 88/15*i**2 + 106/15*i**3 - 8*i**4 = 0.
-1/2, 1, 14
Let q(n) be the first derivative of -3*n**4 + 609*n**3 - 34884*n**2 + 17328*n - 599. Factor q(d).
-3*(d - 76)**2*(4*d - 1)
Let m(c) = -6*c - 44 - 5*c + 3*c + c. Let d be m(-7). Factor -17*y**5 + 6*y**d - 5*y**4 + 6*y**5.
-5*y**4*(y + 1)
Let g(r) be the first derivative of 3*r**4/4 - 143*r**3 + 19293*r**2/2 - 261075*r + 13007. Solve g(c) = 0.
25, 59
Let n(l) be the second derivative of -l**4/24 + 53*l**3/12 + 145*l**2/2 - l + 175. Factor n(r).
-(r - 58)*(r + 5)/2
Let t(m) be the second derivative of m**5/10 - 5*m**4/6 - 8*m**3/3 + 48*m**2 + 3*m - 32. Factor t(j).
2*(j - 4)**2*(j + 3)
What is m in -2401/3 - 98/3*m - 1/3*m**2 = 0?
-49
Suppose -2*f + 1 = -3. Let g be ((-224)/336)/((-1)/3). Factor -53*p**f - 30 + 58*p**g + 0 + 5*p.
5*(p - 2)*(p + 3)
Let o(r) be the third derivative of 0 - 12*r**2 + 5/8*r**3 - 7/48*r**4 - 1/240*r**5 - 4*r. Factor o(q).
-(q - 1)*(q + 15)/4
Let o(i) = -20*i**3 + 105*i**2 + 255*i. Let x(g) = -31*g**3 + 157*g**2 + 382*g. Let p(c) = -8*o(c) + 5*x(c). Solve p(z) = 0 for z.
-2, 0, 13
Let t(r) be the third derivative of -r**6/24 - 67*r**5/12 + 130*r**4/3 - 350*r**3/3 - 3032*r**2. Factor t(m).
-5*(m - 2)*(m - 1)*(m + 70)
Let n(r) be the first derivative of r**5 + 10/3*r**3 + 10*r**2 - 5*r**4 - 15*r - 84. Factor n(a).
5*(a - 3)*(a - 1)**2*(a + 1)
Let o be (7 - 9) + 12 - 6. Suppose 0 = o*x - x - 5*x. Factor 3/5*w**5 - 9/5*w**3 + 0*w - 6/5*w**2 + x*w**4 + 0.
3*w**2*(w - 2)*(w + 1)**2/5
Let f(p) = -22*p**2 + 53*p + 61. Let l(c) = 9*c**2 - 27*c - 30. Let u(r) = 3*f(r) + 7*l(r). Factor u(n).
-3*(n + 1)*(n + 9)
Let b(r) be the third derivative of r**6/120 - 43*r**5/60 + 97*r**4/12 - 76*r**3/3 + 447*r**2. Suppose b(d) = 0. What is d?
1, 4, 38
Let p(o) be the first derivative of 165*o**2 + 13454*o - 14. Let z(i) = -i**2 + 1321*i + 53819. Let r(y) = 9*p(y) - 2*z(y). Determine u, given that r(u) = 0.
-82
Let j be 2/(-10)*-2*7300/1752. Factor -5/3*h**3 + 5/3*h**4 + 0 - j*h**2 + 5/3*h.
5*h*(h - 1)**2*(h + 1)/3
Let o(x) be the third derivative of x**7/3360 - x**6/240 - x**5/32 - x**4/12 + 64*x**3/3 - 96*x**2. Let m(d) be the first derivative of o(d). Factor m(k).
(k - 8)*(k + 1)**2/4
Let f(m) = -72*m**4 + 237*m**3 + 190*m**2 + 76*m - 5. Let t(b) = -144*b**4 + 474*b**3 + 381*b**2 + 144*b - 9. Let i(c) = 9*f(c) - 5*t(c). Solve i(g) = 0 for g.
-3/8, -1/3, 0, 4
Let w(z) be the second derivative of -1/14*z**7 - 23/2*z**3 - 3 + 9*z**2 + 17/2*z**4 + 4/5*z**6 - 18/5*z**5 - 2*z. Factor w(k).
-3*(k - 3)*(k - 2)*(k - 1)**3
Let a(s) be the second derivative of -1/50*s**5 + 7/30*s**4 + 0*s**2 - 2 + 0*s**3 - 35*s. Factor a(u).
-2*u**2*(u - 7)/5
Suppose -5*v = 3*w - 39, 382 = -3*w - 4*v + 415. Factor -12/7*s**2 - 8/7 - 18/7*s - 2/7*s**w.
-2*(s + 1)**2*(s + 4)/7
Let a be (35/(-49) - -3)/(23/15456). Factor -2/3*q**2 + 64*q - a.
-2*(q - 48)**2/3
Factor 3/8*s**4 - 105/4*s + 0 - 12*s**3 - 309/8*s**2.
3*s*(s - 35)*(s + 1)*(s + 2)/8
Determine g so that 2/3*g**3 + 44*g + 34/3*g**2 + 48 = 0.
-12, -3, -2
Let r = 7 + -4. Let n be ((-333)/1702*-23)/(-2 + 4 + 0). Solve -11/2*s**2 + 2*s**r - 1/4*s**4 - n + 6*s = 0 for s.
1, 3
Let j be ((-60)/648)/((-360)/648). Factor 5/3 + 1/2*a - j*a**2.
-(a - 5)*(a + 2)/6
Suppose -2*c - 17 = -91. Suppose -4*w = 5*v - 140, -5*v = -4*v - w - c. Factor 2*h**2 - 18*h - 16*h + v*h.
2*h*(h - 1)
Let g(a) be the third derivative of -a**6/30 - 16*a**5/15 - 14*a**4/3 - 1553*a**2. Let g(f) = 0. Calculate f.
-14, -2, 0
Let h(r) be the first derivative of 3*r**4/22 - 8*r**3/11 - 87*r**2/11 - 144*r/11 + 150. Determine o so that h(o) = 0.
-3, -1, 8
Let d be ((-2)/(-3))/((-98)/(-4116)). Let j be (-11)/33 - d/(-30). Factor j*g + 0 - 1/5*g**2.
-g*(g - 3)/5
Let p be ((-550)/(-132)*(-14)/(-175))/((-1)/(-6)). Suppose 3/2*c**5 + 0*c + 0 + 15/2*c**3 - 6*c**4 - 3*c**p = 0. Calculate c.
0, 1, 2
Let z(j) be the second derivative of j**5/10 + 73*j**4/12 + 317*j**3/3 + 299*j**2/2 - 5653*j. Factor z(x).
(x + 13)*(x + 23)*(2*x + 1)
Factor 336 - 116/3*v - 4/3*v**2.
-4*(v - 7)*(v + 36)/3
Let r(p) = p**3 + 14*p**2 - 14*p + 7. Let h be r(-15). Let u = h - -15. Find y, given that 21*y**4 + u*y**2 - 8*y**2 - 20*y**4 = 0.
-1, 0, 1
Let d(k) be the second derivative of k**4/36 + 505*k**3/18 - 253*k**2/3 + 1923*k. Solve d(l) = 0.
-506, 1
Let k be (-15)/(-6) - (-1 + 3)/(-4). Let b be 2/(-3) + 203/k. Suppose -b*x + 10 + 16*x - 24*x + 65*x**2 = 0. Calculate x.
2/13, 1
Let b(d) be the third derivative of -d**8/168 - 94*d**7/105 - 959*d**6/20 - 13168*d**5/15 + 18688*d**4/3 + 32768*d**3 - 1232*d**2. Solve b(l) = 0.
-32, -1, 3
Let c(a) be the second derivative of -a**4/4 + 35*a**3 + 657*a**2/2 - 32*a - 1. Determine r so that c(r) = 0.
-3, 73
Factor -28 + 2/3*w**2 - 22/3*w.
2*(w - 14)*(w + 3)/3
Let n(c) = 8*c**4 - 22*c**3 + 12*c**2 + 29*c + 7. Let z(h) = -2*h**4 + 7*h**3 - 4*h**2 - 10*h - 2. Let m(k) = 6*n(k) + 21*z(k). Solve m(y) = 0.
-2, 0, 3/2
Let b(v) be the third derivative of 0*v**4 + 0 - 26*v**2 - 1/210*v**5 - 1/630*v**6 + 0*v - 10/3*v**3. Let m(y) be the first derivative of b(y). Solve m(n) = 0.
-1, 0
Let j = 15 + -17. Let y be ((-1)/j*1)/((-2)/(-8)). Determine d so that -y*d**3 + 2*d**3 - 2*d**3 - 3*d**4 + 6*d - 4*d**3 + 3 = 0.
-1, 1
Suppose 29 = 5*v - 2*l + 13, 4*v - l - 11 = 0. Suppose 62*z**v + 10 - 84*z**2 - 30*z**2 - 33*z - 9*z**3 = 0. What is z?
-5, -1, 2/9
Suppose 12*k + 44 = 14*k. Suppose 5*v - k = 8. Find x, given that 11*x**2 - v*x**4 + 16 + 19*x**2 - 15*x**3 + 12*x - 40 + 3*x**5 = 0.
-2, -1, 1, 2
Let t(d) = 447*d**2 - 2114*d - 94. Let x(p) = 223*p**2 - 1062*p - 46. Let m(n) = -3*t(n) + 7*x(n). Find z such that m(z) = 0.
-2/55, 5
Let a(b) be the first derivative of 5*b**6/36 + 547*b**5/30 + 251*b**4/8 - 331*b**3/18 - 379*b**2/6 - 36*b + 6242. Find q such that a(q) = 0.
-108, -1, -2/5, 1
Let c(s) be the first derivative of 2*s + 