*z**2 + 496 - p*z - 4*z = 0.
-5, -2, 1
Let q be (-25 - -23)/(20/(-21) - (-14)/49). Let v(g) be the third derivative of -1/140*g**5 - 2*g**2 + 5/28*g**4 - 25/14*g**q + 0*g + 0. Factor v(k).
-3*(k - 5)**2/7
Let o(l) be the first derivative of l**6/1080 - l**5/180 - l**4/24 - l**3 - 5*l**2/2 - 12. Let g(w) be the third derivative of o(w). Factor g(x).
(x - 3)*(x + 1)/3
Suppose -159 = 122*y - 159. Let f(d) be the third derivative of 1/18*d**4 + 8*d**2 + 1/90*d**5 + 0*d + y + 1/9*d**3. Factor f(p).
2*(p + 1)**2/3
Let l(d) be the third derivative of d**5/240 + 31*d**4/48 - 11*d**3 - 362*d**2 + 6*d. Solve l(i) = 0.
-66, 4
Let x(q) be the first derivative of 3*q**5/5 - 3*q**4/2 - 15*q**3 - 6*q**2 + 60*q + 4751. Suppose x(i) = 0. What is i?
-2, 1, 5
Let i(c) = 2*c**3 - 10*c**2 - 5*c + 1. Let t = 173 - 187. Let x(f) = 10*f**3 - 48*f**2 - 24*f + 6. Let u(h) = t*i(h) + 3*x(h). Factor u(z).
2*(z - 2)*(z - 1)*(z + 1)
Let p(v) be the second derivative of -75*v**7/49 + 221*v**6/7 - 4952*v**5/35 - 410*v**4 - 192*v**3 - 256*v**2/7 - v + 667. Find f, given that p(f) = 0.
-1, -2/15, 8
Let g(l) = -30*l**2 - 11660*l + 6809445. Let t(m) = -37*m**2 - 11658*m + 6809445. Let i(s) = 6*g(s) - 5*t(s). Solve i(j) = 0.
1167
What is f in -88/17*f + 16/17*f**2 + 96/17 + 2/17*f**3 = 0?
-12, 2
Let m(t) = t**2 + 38*t + 354. Let n be m(-22). Let o(v) be the first derivative of 1/3*v**n - 4/9*v**3 + 0*v - 3 + 1/6*v**4. Factor o(f).
2*f*(f - 1)**2/3
Let d = 74 - 139/2. Let n be 4557/(-434) - 6*(5 - 7). What is z in 3*z + 0 + d*z**3 - n*z**5 + 3/2*z**4 - 15/2*z**2 = 0?
-2, 0, 1
Factor -136/5 + 12*h + 4/5*h**2.
4*(h - 2)*(h + 17)/5
Let r(z) = -69*z + 143. Let m be r(2). Let y(s) be the first derivative of -4/3*s**3 + 2*s**6 - 28/5*s**5 + 0*s - 13 + 0*s**2 + m*s**4. Factor y(c).
4*c**2*(c - 1)**2*(3*c - 1)
Suppose -2*t = -2*r + 44 - 14, -2*t + 50 = 2*r. Let 3*u**4 + 0*u**2 - 2*u**4 - 11*u**3 - r*u - u**2 + 0*u**4 + 31*u**3 = 0. What is u?
-20, -1, 0, 1
Let -11/8*i**2 + 21/2 - 1/8*i**3 - 2*i = 0. What is i?
-7, -6, 2
Let q(g) be the first derivative of -g**4/26 - 44*g**3/39 + 23*g**2/13 - 3470. Suppose q(w) = 0. Calculate w.
-23, 0, 1
Suppose 492*r + 164 = 164. Factor -9/4*j**3 + 0*j + 0 + r*j**2 - 3/4*j**4.
-3*j**3*(j + 3)/4
Let w be (-27684)/(-2208) - 10 - (-12)/138. Factor -w*t**2 + 33/8*t - 3/2.
-3*(t - 1)*(7*t - 4)/8
Let t(k) be the second derivative of k**6/10 - 12*k**5/5 - 3*k**4/4 + 25*k**3 - 48*k**2 + 215*k. Find r such that t(r) = 0.
-2, 1, 16
Factor 0 + 0*u + 5/4*u**2.
5*u**2/4
Let k(h) be the third derivative of 20/21*h**3 - 1/6*h**4 + 1/105*h**5 + 0 + 59*h**2 + 0*h. Factor k(r).
4*(r - 5)*(r - 2)/7
Let r be 0 - (1 - 219/51). Let b be 12 + ((-284)/(-2) - -17)/(51/(-2)). Find h, given that r*h - 90/17*h**2 - 56/17*h**3 + b*h**4 - 8/17 = 0.
-1, 2/7, 1
Let g(i) be the first derivative of i**4/24 - 17*i**3/6 + 86*i**2/3 - 4293. What is o in g(o) = 0?
0, 8, 43
Let s = 4498684/9 - 499853. Solve 4/9*i - s*i**2 + 4/3 + 1/9*i**3 = 0 for i.
-1, 2, 6
Factor 160/9*q + 4/9*q**3 + 16 + 52/9*q**2.
4*(q + 2)**2*(q + 9)/9
Let r(n) be the first derivative of 1/5*n**5 + 1/2*n**4 - 4*n + 26 - n**3 - 4*n**2. Determine q, given that r(q) = 0.
-2, -1, 2
Factor 1/3*i**2 + 233523 - 558*i.
(i - 837)**2/3
Suppose 401*u + 247*u - 287 = 1657. Let -3/8*j**5 + 9/8*j - 3/4*j**u - 15/8*j**4 + 21/4*j**2 - 27/8 = 0. What is j?
-3, -1, 1
Let a(t) be the first derivative of -93 - 3/4*t**4 + 6*t**3 - 27/2*t**2 + 12*t. Factor a(m).
-3*(m - 4)*(m - 1)**2
Suppose -4*g + 43060 = 4*c, 0 = g + g - 2*c - 21534. Factor -4352*s - g*s**3 + 2662*s**4 + 760 - 2786*s**3 + 12672*s**2 - 248.
2*(s - 4)*(11*s - 4)**3
Let l = -544669/10 - -54467. Factor l*d**5 + 0 - 2/5*d**2 + 1/5*d**4 + 2/5*d - 3/10*d**3.
d*(d - 1)**2*(d + 2)**2/10
Suppose -z = 3*z - 2*f - 12, 6 = 5*z + 2*f. Let b = 500522 + -1501558/3. Suppose -4 + 4/3*r**z + b*r = 0. What is r?
-3, 1
Let i(j) be the second derivative of 5*j**4/12 - 1445*j**3/2 + 4325*j**2 - 6298*j. Factor i(o).
5*(o - 865)*(o - 2)
Let o(v) be the third derivative of -v**5/75 + 239*v**4/15 - 205*v**2. Factor o(r).
-4*r*(r - 478)/5
Let y be (-153)/6 + 29 + (-6)/4. Let i(l) be the second derivative of 1/9*l**3 + 0 + 1/6*l**4 - l**y + 18*l - 1/30*l**5. Factor i(q).
-2*(q - 3)*(q - 1)*(q + 1)/3
Let d = -131 + 347. Let b = d + -216. Let b + 10/9*s + 2/9*s**2 = 0. Calculate s.
-5, 0
Let w(a) = -4*a**2 + 90*a + 31. Let s be w(22). Factor -730*d**2 + 66*d + 733*d**2 - 12 + s.
3*(d + 1)*(d + 21)
Suppose -211 + 15 = -28*n. Suppose -n*w - 781 = -809. Suppose 1/3*k**w + 0*k**2 + 2/3*k - 1/3 - 2/3*k**3 = 0. Calculate k.
-1, 1
Let k be (-9)/12 - 57/(-12). Let x be (-4)/(k - -4)*-2*7. Factor 6*j - x*j - 3*j + 4*j**3.
4*j*(j - 1)*(j + 1)
Let f(l) be the second derivative of -l**5/50 + 491*l**4/30 + 991*l**3/5 + 4473*l**2/5 - 2*l - 2205. Let f(k) = 0. Calculate k.
-3, 497
Suppose -11*c + 742 = 280. Factor 9*t**2 + t**3 + c*t + 7 - 27*t + 0.
(t + 1)**2*(t + 7)
Factor 1 - 94*i + 3*i**4 + 442*i - 336*i**2 + 88*i**3 - 13*i**3 - 1.
3*i*(i - 2)**2*(i + 29)
Let c = 378722 - 378720. Determine l so that 4/3*l**3 - 68/9*l + 8/3 - 16/9*l**c = 0.
-2, 1/3, 3
Let l(q) be the third derivative of 0 - 70*q**2 + 1/4*q**5 - 15/8*q**4 + 0*q + 1/24*q**6 + 25/6*q**3. Factor l(g).
5*(g - 1)**2*(g + 5)
Let x be 11*(-53 + 44946/847). Factor 6/7*u**2 + x*u**3 - 9/7*u - 2/7*u**4 + 0.
-u*(u - 3)*(u - 1)*(2*u + 3)/7
Let n(c) be the third derivative of -c**6/540 + 16*c**5/27 - 157*c**4/108 - 106*c**3/9 - 19*c**2 - 58. Solve n(r) = 0 for r.
-1, 2, 159
Let p(c) be the third derivative of -13*c**7/105 + 31*c**6/60 - 23*c**5/30 + 5*c**4/12 - 2*c**2 - 1511. Suppose p(f) = 0. What is f?
0, 5/13, 1
Let c = -56938 + 56943. Determine r so that 1/8*r**c + 21/8*r + 13/4*r**3 + 9/8*r**4 + 5/8 + 17/4*r**2 = 0.
-5, -1
Let f(v) be the third derivative of -v**6/15 + 13*v**5/30 - 11*v**4/12 + 2*v**3/3 + 3*v**2 - 30*v. Solve f(t) = 0 for t.
1/4, 1, 2
Let -1240/11*l**2 - 96/11*l + 0 - 50/11*l**4 - 504/11*l**3 = 0. Calculate l.
-6, -4, -2/25, 0
Suppose -1083/2*l + 6859/2 - 1/2*l**3 + 57/2*l**2 = 0. What is l?
19
Solve -388/5*c**2 - 3528 + 2/5*c**3 + 5138/5*c = 0 for c.
7, 180
Let j(d) be the third derivative of d**7/1050 + 11*d**6/200 - 46*d**5/75 + 19*d**4/10 + 2219*d**2. Solve j(p) = 0.
-38, 0, 2, 3
Let m(j) = 11*j**2 + 11*j. Let u be m(-2). Suppose 4*k + u = 42. Factor -15 + 9*h + 24*h**2 + h**k + 15 + 22*h**3 + 8*h**4.
h*(h + 1)**2*(h + 3)**2
Suppose 63 = 5*b - w, -5*b = 22*w - 27*w - 35. Let s(m) be the second derivative of -10*m**3 - 1/4*m**5 + b*m + 0 - 20*m**2 - 5/2*m**4. Factor s(a).
-5*(a + 2)**3
Let w = 3980673/4 - 995163. Let -11/4*l**2 - 1/4*l**3 - 31/4*l - w = 0. Calculate l.
-7, -3, -1
Let f = 17 - 28. Let d(k) = -k**3 + k**2 - 8. Let a(c) = 3*c**2 + c - 3*c**3 + 0*c**2 + 0*c + 1 - 24. Let g(n) = f*d(n) + 4*a(n). Factor g(j).
-(j - 2)*(j - 1)*(j + 2)
Factor 159014/3 - 1/3*v**4 - 1763*v**2 - 68413/3*v - 127/3*v**3.
-(v - 2)*(v + 43)**3/3
Let m = 70 + -68. Suppose 0 = -0*r + m*r - 4. Factor -133*y + 0*y**r + 133*y - 4*y**2.
-4*y**2
Let q(x) = -32*x**3 + 5944*x**2 - 2208192*x - 2214144. Let m(s) = 78*s**3 - 11886*s**2 + 4416384*s + 4428288. Let z(p) = 2*m(p) + 5*q(p). Factor z(n).
-4*(n - 744)**2*(n + 1)
Let y = 689 + -626. Let 36*v**4 + 1814*v**5 - 72*v + y*v**3 - 36*v**2 + 5*v**3 - 1810*v**5 = 0. What is v?
-6, -3, -1, 0, 1
Suppose 4*l - y - 12 = 0, 3*l + y - 4*y = 0. Suppose l + 1 = w. Factor -12 + 13*a - w*a + 0*a**2 + a**3 - 2*a**3 + a**2.
-(a - 2)**2*(a + 3)
Let q(m) = m**3 + 9*m**2 - 6*m - 22. Let o be q(-9). Suppose -18*k = -14*k - o. Factor -26*v + 16*v - k*v + 61 + v**2 + 20.
(v - 9)**2
Let n(o) be the first derivative of o**3 + 9/4*o**2 + 1/8*o**4 + 192 + 0*o. Factor n(t).
t*(t + 3)**2/2
Let h(g) be the first derivative of 12/85*g**5 + 16/51*g**3 + 61 - 13/34*g**4 - 1/17*g**2 + 0*g. Factor h(s).
2*s*(s - 1)**2*(6*s - 1)/17
Let z(i) = 2*i**3 + 3*i**2. Let p(k) = -62*k**3 + 221*k**2 - 160*k + 16. Let v(m) = p(m) - 3*z(m). Factor v(r).
-4*(r - 2)*(r - 1)*(17*r - 2)
Factor 1/3*u**2 - 50/3*u + 47.
(u - 47)*(u - 3)/3
Suppose -2*s = b - 18, 36 = 3*s - 4*b + b. Factor 7*i**3 - 72*i**3 - 7*i**2 - 3*i**2 + s*i**4 - 50*i**4 + 15*i.
-5*i*(i + 1)**2*(8*i - 3)
Solve 20*o - 4/5*o**2 + 104/5 = 0 for o.
-1, 26
Let y be -4*(-18 + -8)/((-4)/(-2)). Le