+ 15*j**2 + 18*j + 2. Let c(m) = 40*b(m) + 3*t(m). Solve c(y) = 0 for y.
-1
Let p = 2326899/7160 - -249/1790. Factor -51/4*d + p + 1/8*d**2.
(d - 51)**2/8
Let u(y) be the third derivative of y**7/1155 - 89*y**6/330 + 348*y**5/11 - 16200*y**4/11 - 144000*y**3/11 - y**2 + 115*y. Factor u(s).
2*(s - 60)**3*(s + 2)/11
Let d be -5 - 2/(12/914) - 4. Let m = d - -162. Solve -4/3*v**3 + 0 + 2/3*v**5 + m*v + 0*v**2 + 0*v**4 = 0 for v.
-1, 0, 1
Let f(m) be the first derivative of -2*m**3/7 - 153*m**2/7 + 636*m/7 - 590. Factor f(h).
-6*(h - 2)*(h + 53)/7
Let t(c) be the first derivative of 2*c**5/15 - 34*c**4/9 + 88*c**3/27 - 487. Factor t(s).
2*s**2*(s - 22)*(3*s - 2)/9
Suppose 36*s = 369 - 369. Let b(t) be the third derivative of s - 24*t**3 - 13/15*t**5 + 22*t**2 - 1/30*t**6 + 0*t - 8*t**4. Suppose b(g) = 0. What is g?
-6, -1
Suppose -15*g - 20 = -19*g. Factor -46*f**3 + 50*f**2 - 35*f - 5*f**5 - f + 11*f + g - 4*f**3 + 25*f**4.
-5*(f - 1)**5
Factor -313/4*j**2 - 237*j - 13/2*j**3 - 9.
-(j + 6)**2*(26*j + 1)/4
Let s be (9/(-6))/((-2)/4). Let w be -1 - 0 - 1 - (-118 + 113). Let -22*p**4 - 2*p**2 - 3*p**w + 21*p**4 + 0*p**s = 0. Calculate p.
-2, -1, 0
Let 836*h**3 + 840*h**3 - 260 + 380*h - 115*h**2 - 2520*h**3 + 839*h**3 = 0. Calculate h.
-26, 1, 2
Let f(j) be the first derivative of -j**5/130 + j**4/39 + j**3/13 + 48*j + 59. Let x(a) be the first derivative of f(a). Determine t, given that x(t) = 0.
-1, 0, 3
Let r(u) be the third derivative of u**6/30 - 37*u**5/15 + 323*u**4/6 + 722*u**3/3 - 25*u**2 + 14*u. Let r(y) = 0. What is y?
-1, 19
Suppose 123 + 2*l**2 + 74*l - 25 + 163 - 57 = 0. Calculate l.
-34, -3
Suppose -6*f + 41 - 11 = 0. Let -1777 + 82*w**2 + 5*w**3 + 1717 - f*w - 22*w**2 = 0. Calculate w.
-12, -1, 1
Let p(v) be the first derivative of 1/5*v**5 - 10/3*v**3 - 3 - 5/2*v**4 + 1/6*v**6 + 9*v + 9/2*v**2. Find r, given that p(r) = 0.
-3, -1, 1, 3
Let w(k) be the first derivative of 5*k**4/12 + 5*k**3/3 - 20*k**2 - 74*k - 26. Let p(s) be the first derivative of w(s). Suppose p(d) = 0. What is d?
-4, 2
Let s = -397/5 + 2819/35. Let o be -2 - (-38)/18 - (35 - 4396/126). Factor -s*i - 2/7*i**2 + o.
-2*i*(i + 4)/7
Let 3269*n**3 - 2150*n**3 + 14434*n**3 - 31248*n**2 + 15876*n + 496*n**4 - 681*n**3 + 4*n**5 = 0. What is n?
-63, 0, 1
Let l(f) = -3*f**2 - 2*f - 25. Let x be l(0). Let a be 0/((-10)/x*-5). Determine i, given that 0*i**3 + 0*i - 1/10*i**4 + 1/10*i**2 + a = 0.
-1, 0, 1
Suppose -171424/3*s - 54208/3 - 356*s**4 - 148832/3*s**2 - 6*s**5 - 21200/3*s**3 = 0. What is s?
-22, -14, -2/3
Let d(u) = u**3 + 3*u**2 - 6*u + 2. Let t(z) = -10*z**3 + 23*z**2 - 659*z + 2098. Let m(q) = 36*d(q) + 4*t(q). Factor m(h).
-4*(h - 23)**2*(h - 4)
Let k(r) = -259*r**2 - 144*r - 32. Let a(l) = -1424*l**2 - 788*l - 176. Let w(g) = 5*a(g) - 28*k(g). Determine d, given that w(d) = 0.
-4/11, -1/3
Let q be ((-10)/(-10))/((-2)/(-14)). Factor -35*h**2 + q*h - 34*h**2 + 68*h**2 - 6.
-(h - 6)*(h - 1)
Let p(f) be the second derivative of f**5/6 - 67*f**4/9 + 103*f**3/9 + 26*f**2/3 - 1387*f. Determine r, given that p(r) = 0.
-1/5, 1, 26
Let -82*h - 29*h**2 - 1525*h + 26*h**2 - 181*h - 266412 = 0. What is h?
-298
Solve 0*t**2 + 399*t + 2*t**2 + 427*t - 96*t = 0 for t.
-365, 0
Let p(r) be the third derivative of r**6/30 + 5*r**5/2 + 109*r**4/12 + 12*r**3 - 3392*r**2. Factor p(x).
2*(x + 1)*(x + 36)*(2*x + 1)
Let a(g) = 18*g + 744. Let z be a(-39). Suppose z = 2*m + 38. Let 0 + 2/3*n - 4/5*n**m + 2/15*n**3 = 0. What is n?
0, 1, 5
Factor x**2 + 498795 - 1312*x - 668*x + 682135 - 200830.
(x - 990)**2
Suppose 0 = -126*p + 37*p + 267. Let x(t) be the first derivative of 1/3*t**p - 6/5*t + 17 - 13/10*t**2. Solve x(l) = 0 for l.
-2/5, 3
Let g = -12/5159 - -5195/15477. Solve -g*t**2 + 0 + 5/3*t = 0 for t.
0, 5
Let c(d) be the second derivative of -d**4/4 + 17*d**3/3 - 201*d**2 - 13*d - 5. Let m(u) = -7*u**2 + 65*u - 805. Let y(b) = -5*c(b) + 2*m(b). Factor y(i).
(i - 20)**2
Let d(w) = -4*w - 3. Let k(f) = -f**2 - 737*f - 9. Let y(o) = 12*d(o) - 4*k(o). Solve y(z) = 0.
-725, 0
Suppose 3*g = -51, 133370*g - 133374*g - 68 = 3*h. Factor 0*c - 5/6*c**4 + 5/6*c**5 + 0*c**3 + h + 0*c**2.
5*c**4*(c - 1)/6
Let o(i) be the first derivative of 27 - 1/24*i**6 - 23/8*i**4 + 5*i**3 - 25/8*i**2 + 3/5*i**5 + 0*i. Find k such that o(k) = 0.
0, 1, 5
Let n(g) = g**3 - 19*g**2 + 5*g - 45. Let h be n(19). Determine p so that -75 + 450*p**3 - 1001*p**2 + 109 + 248*p - 19*p**2 - h = 0.
2/15, 2
Let m be (-8)/36 + -8 + 44968/180. Let l = 244 - m. Determine o, given that 0 + 24/5*o**2 - l*o - 9/5*o**4 - 3/5*o**3 = 0.
-2, 0, 2/3, 1
Let m(t) be the first derivative of -t**3/3 + 8*t**2 + 57*t + 764. Factor m(i).
-(i - 19)*(i + 3)
Let i(d) = -935*d - 1190*d + 1495 + 278*d**2 + 232*d**2 + 50*d**3. Let m(p) = -3*p**3 - 30*p**2 + 125*p - 88. Let k(u) = 2*i(u) + 35*m(u). Factor k(v).
-5*(v - 2)*(v - 1)*(v + 9)
Let u(m) be the third derivative of -2*m**7/105 + 13*m**6/120 - m**5/20 - 9*m**2 - 117*m. Factor u(i).
-i**2*(i - 3)*(4*i - 1)
Suppose -80*j + 637*j**2 - 331*j**2 - 310*j**2 = 0. What is j?
-20, 0
Let m(q) be the first derivative of q**6/540 + 17*q**5/270 + 20*q**4/27 + 64*q**3/27 + 11*q**2/2 + 57. Let n(i) be the second derivative of m(i). Factor n(f).
2*(f + 1)*(f + 8)**2/9
Suppose -994 = -k - 3*h, 0 = 6*k - 2*k - 5*h - 4061. Let x = -1007 + k. Factor 2/3*d**x + 4/9*d + 0 - 4/9*d**3.
-2*d*(d - 2)*(2*d + 1)/9
Let l(d) be the third derivative of -d**6/60 - 83*d**5/30 - 460*d**4/3 - 1600*d**3 + 3*d**2 + 18*d + 17. Solve l(y) = 0.
-40, -3
Factor -155/4*z - 200 + 1/4*z**2.
(z - 160)*(z + 5)/4
Suppose -5*s - 766 = -4*o - 0*s, 4*s + 768 = 4*o. Find y, given that -738*y**4 + 443 - 112*y**2 - o*y**5 - 475 - 944*y**3 + 224*y + 32*y**5 = 0.
-2, -1, 2/9
Let w be (-40145)/(-2294)*16/175. Let 2/5*m**5 - w + 16/5*m**2 - 4/5*m**3 - 8/5*m**4 + 2/5*m = 0. Calculate m.
-1, 1, 4
Suppose 5*a = 5*h + 20, 2*h - 57 = -4*a - 41. Let x = 179/434 + 1/62. Factor 3/7*c**3 - 3/7*c**4 - x*c + h + 3/7*c**2.
-3*c*(c - 1)**2*(c + 1)/7
Let l(q) = 82674*q**3 - 14931*q**2 + 669*q - 6. Let o(h) = 2*h**3 + 3*h**2 - 2*h - 2. Let s(k) = l(k) - 3*o(k). What is z in s(z) = 0?
0, 15/166
Let t(i) be the third derivative of 29403*i**6/80 - 17721*i**5/8 + 223*i**4/3 - i**3 + 776*i**2. Factor t(d).
(d - 3)*(297*d - 2)**2/2
Let j(a) be the first derivative of 3*a**5/40 + a**4/4 + 10*a + 33. Let x(k) be the first derivative of j(k). Factor x(m).
3*m**2*(m + 2)/2
Let p(j) be the second derivative of 1/2*j**3 + 3/16*j**4 - j - 3/2*j**2 + 1. Factor p(m).
3*(m + 2)*(3*m - 2)/4
Suppose 1905*m + 26 = 1907*m + 2*q, -5*m = 4*q - 58. Factor -m*f - 90 - 1/10*f**2.
-(f + 30)**2/10
Let z(l) be the third derivative of -l**7/42 + 205*l**6/12 - 13871*l**5/4 - 105575*l**4/6 - 106090*l**3/3 + 1154*l**2. Determine c so that z(c) = 0.
-1, 206
Let q(d) be the second derivative of 5*d**7/42 - 17*d**6/6 + 45*d**5/2 - 135*d**4/2 - 45*d**3/2 + 1215*d**2/2 - 41*d - 1. Let q(x) = 0. What is x?
-1, 3, 9
Suppose 0 = -3*x, -2*c + 10*x - 5*x = -4. Let k = 1109816/5 - 221963. Factor -4/5*g**c - k + 4/5*g.
-(2*g - 1)**2/5
Let p(m) be the second derivative of -3*m**5/80 + 123*m**4/8 + 62*m**3 - 400*m - 2. Factor p(z).
-3*z*(z - 248)*(z + 2)/4
Let o = 62956 + -125903/2. Factor 3*c - o - 1/2*c**2.
-(c - 3)**2/2
Let q be (54/(-297) - 290/(-22)) + -11. Let w(v) be the second derivative of 35*v - 1/42*v**4 - 1/3*v**3 + 0 - 6/7*v**q. Find n, given that w(n) = 0.
-6, -1
Let j(x) be the third derivative of -1/36*x**5 + 0*x**3 + 1/120*x**6 + 1/36*x**4 - 1/1008*x**8 - 11*x**2 + 0 + x + 1/630*x**7. Solve j(v) = 0 for v.
-2, 0, 1
Let g(k) = 17*k**3 - 2376*k**2 - 2427*k + 4786. Let o(a) = -9*a**3 + 1187*a**2 + 1214*a - 2392. Let i(v) = -4*g(v) - 7*o(v). Determine h, given that i(h) = 0.
-2, 1, 240
Suppose -166 = -6*u + 74. Solve -u*f**2 + 20*f**2 + 5*f**2 - 3*f**3 = 0 for f.
-5, 0
Let g(l) = -l**5 + 16*l**4 + 73*l**3 + 50*l**2. Let q(v) = -5*v**5 + 62*v**4 + 293*v**3 + 200*v**2. Let k(x) = -26*g(x) + 6*q(x). Factor k(f).
-4*f**2*(f + 1)*(f + 5)**2
Find r such that 170/7*r**2 + 2/7*r**4 + 32/7*r**3 + 372/7*r + 288/7 = 0.
-8, -3, -2
Suppose -25*a + 1235 = -2067*a - 1259*a + 14439. Let -28/9*i**4 - a*i**2 - 20/3*i**3 - 4/9*i + 0 = 0. What is i?
-1, -1/7, 0
Let b = -731 - -481. Let d be (-5 + b/(-40))/((