5 + 0 + 0*r**4 + 26*r**2 + 0*r**3. Factor n(p).
3*p**3*(p + 1)**2/7
Let h(o) be the third derivative of -o**7/140 - o**6/10 - 3*o**5/10 + 2*o**4 + 16*o**3 - 889*o**2. What is v in h(v) = 0?
-4, -2, 2
Suppose -2*p + 33 = -1. Suppose -21*d + 516 = -p*d. Find m, given that -72*m - 21*m**4 - 12 - 26*m**3 - 8*m**3 + 0*m**3 - 56*m**3 - d*m**2 = 0.
-2, -1, -2/7
Suppose 386*k = -3*v + 382*k + 21, -k + 15 = 4*v. Let 0 - 4/9*b - 2/3*b**v + 2/9*b**4 + 2/9*b**5 - 10/9*b**2 = 0. Calculate b.
-1, 0, 2
Factor 1099*a**2 + 1398*a**2 - 105737*a**3 + 274*a**2 + 5*a**4 + 12800 - 15680*a + 319*a**2 + 105522*a**3.
5*(a - 16)**2*(a - 10)*(a - 1)
Let s(o) = -6*o**3 - 5*o**2 - 8*o - 23. Let f be s(-3). Find v, given that -367*v - 15 - 141 - 28*v**2 - 44 - 223*v - f*v = 0.
-25, -2/7
Let x = -812 - -815. Suppose -2*q + 2*r - x*r + 4 = 0, -3*q - 4*r = -16. Factor 0 + 0*u - 18/7*u**3 + q*u**2 + 3/7*u**4.
3*u**3*(u - 6)/7
Let q be (-117)/(-364) + (-2)/8 + 25/140. Determine w, given that -7/4*w + 0 - q*w**3 + 2*w**2 = 0.
0, 1, 7
Let i(t) = 36*t**3 - 62*t**2 - 36*t. Let f(g) = 7*g**3 - 12*g**2 - 7*g. Let p be ((-6)/(-4))/(3/(-32)). Let z(d) = p*f(d) + 3*i(d). Solve z(o) = 0.
-1/2, 0, 2
Find s, given that 408*s**4 + 100*s - 1065*s**3 + 60 + 950*s**3 - 413*s**4 - 55*s**2 + 15*s**5 = 0.
-2, -1, -2/3, 1, 3
Let z(i) be the second derivative of -i**7/56 - i**6/20 + i**4/8 + i**3/8 + 6831*i. Factor z(k).
-3*k*(k - 1)*(k + 1)**3/4
Let k(u) be the second derivative of 11/5*u**2 + 1/50*u**5 + 23/15*u**3 - 19 + 3*u + 13/30*u**4. Solve k(x) = 0.
-11, -1
Let m be 3*(6/66 + 114/198). Suppose 3*l - y + 4 - 7 = 0, 3*l - 12 = 4*y. Solve l*f + 0 + 2/11*f**3 + 2/11*f**m = 0 for f.
-1, 0
Let a be (28/(-21) - 0)*(-3 - 0). Factor 9*t + 145 + 148 - t**2 + a*t**2 - 293.
3*t*(t + 3)
Let j(v) be the second derivative of -v**7/168 - 7*v**6/120 + 11*v**5/80 + 23*v**4/48 - 5*v**3/12 - 2*v**2 - 2116*v + 1. Suppose j(m) = 0. What is m?
-8, -1, 1, 2
Factor 76500*g**2 + 14314504 + 19297001 - 404*g**3 - 3121200*g - 221*g**3 - 15384474 + 24221289.
-5*(5*g - 204)**3
Let c(t) = t**4 - 45*t**3 - 195*t**2 - 379*t + 594. Let w(l) = 2*l**4 - 95*l**3 - 389*l**2 - 757*l + 1187. Let v(u) = -13*c(u) + 6*w(u). Solve v(s) = 0.
-5, 1, 24
Let b(h) be the third derivative of -3*h**6/160 - 31*h**5/48 - 287*h**4/48 - 5*h**3 - 214*h**2. Suppose b(s) = 0. What is s?
-12, -5, -2/9
Factor 1/4*m**3 + 931/2 - 483/4*m + 6*m**2.
(m - 7)**2*(m + 38)/4
Let n(l) be the second derivative of 3*l**5/80 + 5*l**4/6 - 181*l**3/24 + 51*l**2/4 + 1309*l. Suppose n(g) = 0. What is g?
-17, 2/3, 3
Let g(s) = 3*s**3 - s**2 + s - 1. Let z be g(1). Suppose -4*n = -2*h - z*h + 8, 3*h - 2*n = 4. Factor -1/5*o**4 - 1/5*o**3 + 0 + h*o + 2/5*o**2.
-o**2*(o - 1)*(o + 2)/5
Let q = -74174 + 74179. Factor -1/5*u**q - 2/5*u**4 + 0*u**2 + 3/5*u**3 + 0 + 0*u.
-u**3*(u - 1)*(u + 3)/5
Let z be (-1 - -4) + 10/(1 - -4). Suppose 4*g + 8 = z*s - 8*s, -3*g - 6 = 0. Factor s + 0*h**3 + 6/13*h**2 - 2/13*h**4 + 4/13*h.
-2*h*(h - 2)*(h + 1)**2/13
Let q(i) be the second derivative of 1 - 1/90*i**5 + 0*i**4 + 50*i + 2/9*i**2 + 1/9*i**3. Suppose q(c) = 0. Calculate c.
-1, 2
Let m(h) be the second derivative of 0*h**3 + h**2 + 1/150*h**5 - 2*h + 0 + 1/30*h**4. Let s(g) be the first derivative of m(g). Suppose s(u) = 0. What is u?
-2, 0
Let m be (4/14 + (-4)/14)*1. Suppose 39 = -0*s + 5*s + 2*z, s - 4*z + 1 = m. Determine b, given that 4*b - 4 - 3*b**2 - s*b + 4 = 0.
-1, 0
Let q(m) = -m**2. Let u(w) = -2*w - 7. Let r be u(-5). Let f = r + -4. Let s(k) = 6*k**2 - 12*k + 12. Let j(g) = f*s(g) - 3*q(g). Factor j(l).
-3*(l - 2)**2
Let b(g) be the first derivative of -12*g**5/5 + 279*g**4/28 - 111*g**3/7 + 165*g**2/14 - 27*g/7 - 1449. Factor b(r).
-3*(r - 1)**3*(28*r - 9)/7
Let x(b) be the first derivative of 9*b**5/10 - 51*b**4/4 + 253*b**3/6 + 51*b**2 + 18*b + 513. What is f in x(f) = 0?
-1/3, 6
Let -1388*k + 12/5*k**4 + 1388*k**3 - 4644/5*k**2 + 4632/5 = 0. Calculate k.
-579, -1, 2/3, 1
Let f(n) = 5*n**2 + 307*n + 962. Let j(u) = 9*u**2 + 615*u + 2006. Let d(v) = 5*f(v) - 3*j(v). What is w in d(w) = 0?
-151, -4
Let h be 10/(-95) + (-1376)/(-76). Suppose 0 = -23*n + 21*n + 2*b + h, n - 1 = -b. What is j in 4/9*j**3 + 2/9*j**n - 2/3*j + 2/9 - 2/3*j**4 + 4/9*j**2 = 0?
-1, 1
Suppose 17*z = -0*z + 1173. Factor -z*y**3 + 105*y**3 - 37*y**3 + 16*y.
-y*(y - 4)*(y + 4)
Suppose 92 = 6*t - 238. Determine n, given that -22*n**2 - 11*n - 14*n**2 + 9 + t + 4*n**3 + 16*n + 19*n = 0.
-1, 2, 8
Let g(o) be the second derivative of o**7/147 + 2*o**6/35 - 5*o**5/14 + 3*o**4/7 - 1442*o. Determine f so that g(f) = 0.
-9, 0, 1, 2
Let j(y) = -74*y**4 + 1554*y**3 + 530*y**2 + 42*y. Let g(a) = 593*a**4 - 12429*a**3 - 4242*a**2 - 335*a. Let k(u) = -2*g(u) - 17*j(u). Let k(p) = 0. What is p?
-1/6, 0, 22
Let v(k) be the second derivative of -3/20*k**5 + 6*k**3 + 0*k**2 + 184*k - 1/4*k**4 + 0. What is w in v(w) = 0?
-4, 0, 3
Let s(p) = -p - 6. Let u = -152 + 136. Let o be s(u). Solve -7*i**5 - o - 16*i**3 + 8*i**2 + 2 + 3*i + 9*i + 11*i**5 = 0 for i.
-2, -1, 1
Let l(o) be the third derivative of o**7/945 + o**6/180 - 14*o**5/45 + 68*o**4/27 - 64*o**3/9 - 3958*o**2. Solve l(y) = 0 for y.
-12, 1, 4
Solve -14*b**3 + 0*b**4 - 18*b**2 - 12*b**3 - 16*b**3 + 324*b - 2*b**4 + 18*b**3 = 0 for b.
-9, -6, 0, 3
Let -4/3 + 8/3*u**4 - 22/3*u - 17/6*u**3 - 31/3*u**2 + 7/6*u**5 = 0. What is u?
-2, -1, -2/7, 2
Let q(m) = -m**3 + 17*m**2 + m - 17. Suppose 0 = -28*s + 180 + 296. Let r be q(s). Factor r - 8/5*a + 2/5*a**2.
2*a*(a - 4)/5
Suppose -109*k + 799 + 1032 = 632. Let v = 29 - 20. Factor 3*i**3 - v*i**4 - k*i**2 + 9*i**2 + 8*i**2.
-3*i**2*(i - 1)*(3*i + 2)
Let f(j) be the first derivative of -j**6/6 - 22*j**5/5 - 47*j**4/2 - 160*j**3/3 - 121*j**2/2 - 34*j + 2017. Suppose f(d) = 0. What is d?
-17, -2, -1
Let v = -202 - -211. Suppose 20*p = v*p. Factor p - 3/2*q**3 - 3/2*q + 3*q**2.
-3*q*(q - 1)**2/2
Let i = -881 - -769. Let p be (3/(-7))/(216/i). Factor -2/3 + 10/9*v - p*v**2 - 2/9*v**3.
-2*(v - 1)**2*(v + 3)/9
Suppose 3 = 5*p - 2*p, 3*d + 5*p = 5. Suppose -3*l - 2*l = -20, d = -w - 3*l + 22. Find n such that -w*n**3 - 17*n + 31*n + 3*n**4 + n**2 - 8*n = 0.
-2/3, 0, 1, 3
Factor -453/5 + 3/5*a + 453/5*a**2 - 3/5*a**3.
-3*(a - 151)*(a - 1)*(a + 1)/5
Let l(k) be the second derivative of -k**6/45 + 19*k**5/18 - 398*k**4/27 + 628*k**3/9 + 80*k**2 + 1823*k. Let l(h) = 0. What is h?
-1/3, 6, 20
Let n(k) = -24*k**2 - 12*k + 16. Let v(x) = -20*x**2 - 12*x + 16. Let w = 339 + -344. Let g(i) = w*v(i) + 4*n(i). Factor g(z).
4*(z - 1)*(z + 4)
Let q(w) be the first derivative of 65 - 1062882/7*w + 610173/7*w**2 + 2241/7*w**4 - 55404/7*w**3 + 1/21*w**6 - 218/35*w**5. Factor q(r).
2*(r - 27)**4*(r - 1)/7
Let o(h) be the third derivative of h**5/90 - 157*h**4/9 + 3338*h**2. Suppose o(v) = 0. Calculate v.
0, 628
Let h(n) = 8*n**3 + 22*n**2 - 99*n - 194. Let p be h(-2). Factor -18*r**3 + 0 - 1/2*r**5 - 5*r**4 - p*r**2 - 16*r.
-r*(r + 2)**3*(r + 4)/2
Let o(y) = -y**3 + 747*y**2 + 47599*y + 136155. Let d(r) = -5*r**3 + 2241*r**2 + 142796*r + 408462. Let a(u) = -2*d(u) + 7*o(u). Factor a(z).
3*(z + 3)*(z + 123)**2
Let u(k) be the second derivative of 5*k**4/12 - 100*k**3 + 590*k**2 + 38*k + 7. What is a in u(a) = 0?
2, 118
Let u(w) = 28*w**3 + 5049*w**2 - 10092*w + 5069. Let n(m) = -13*m**3 - 2524*m**2 + 5047*m - 2534. Let d(g) = -9*n(g) - 4*u(g). Factor d(o).
5*(o - 1)**2*(o + 506)
Let x be (6/75)/(-2) - (-81008)/195200. Factor 0*i + 0 - 3/8*i**2 + x*i**3.
3*i**2*(i - 1)/8
Let p = 18887212/16707959 - -2/726433. Determine x so that -76/23*x + 72/23*x**2 - 20/23*x**3 - 2/23*x**4 + p = 0.
-13, 1
Suppose -47*w - 7342 = -7436. Let v(c) be the first derivative of 5/3*c**w - 2/9*c**3 + 23 - 4*c. Factor v(j).
-2*(j - 3)*(j - 2)/3
Let h = 108 - 104. Factor 11*f**3 + 4*f**4 - 20*f**3 - 2*f**5 + 10*f**3 - h*f**2 + f**5.
-f**2*(f - 4)*(f - 1)*(f + 1)
Let w(z) = 41*z + 277. Let i be w(-5). Let l = i - 143/2. Factor -1/2*a**3 + 1/2 - l*a**2 + 1/2*a.
-(a - 1)*(a + 1)**2/2
Let f(o) be the first derivative of -o**8/1120 + 23*o**7/560 - 19*o**3/3 + 4*o - 232. Let d(x) be the third derivative of f(x). Factor d(h).
-3*h**3*(h - 23)/2
Let c be (7/((-35)/(-4)))/((-2)/(-45)). Solve -c*r - 57*r**3 + 4 + 32*r**2 + 0*r**5 + 12*r**4 - 2*r**5 + 29*r**3 = 0.
1, 2
Fact