9/28*s**4 + 0 - 5*s + 13/21*s**3 + 15*s**2. Factor a(h).
2*(h + 1)**2*(h + 13)/7
Let h(l) = l**2 - 7*l + 13. Let b be h(5). Suppose q - 18 = -a + 4*q, 3*a - b*q = 72. Determine x so that 2*x**2 + 5*x**3 + 20*x + a*x**2 - 9*x**2 = 0.
-2, 0
Let j(s) be the second derivative of -s**7/1260 + s**5/120 + s**4/72 + 48*s**2 + 5*s - 2. Let c(w) be the first derivative of j(w). Suppose c(g) = 0. What is g?
-1, 0, 2
Let j be (-37)/(-156) + (-1106)/7189. Factor j*z**2 + 0 - 1/4*z.
z*(z - 3)/12
Suppose 0 = -4*k - 74 + 62. Let t be (-4)/((-60)/k)*(-45)/27. What is x in 49/3 + t*x**2 - 14/3*x = 0?
7
Let c = -7/17 - -962/2295. Let p(x) be the third derivative of 0 + 13*x**2 + 0*x**3 + 0*x + 1/36*x**4 - c*x**5. Let p(w) = 0. What is w?
0, 3/2
Let y = 435 - 436. Let u(h) = 36*h**2 - 78*h - 6. Let l(g) = -g**3 + g**2 - 2. Let z(n) = y*u(n) + 3*l(n). Factor z(w).
-3*w*(w - 2)*(w + 13)
Factor -16*n - 160 - 2/5*n**2.
-2*(n + 20)**2/5
Let j = 47 + 2. Suppose -j*v**2 - 2*v**4 - 1 - 45*v**3 - 45*v - 21*v**2 - 8*v**4 - 9 = 0. What is v?
-2, -1, -1/2
Let h(b) = -9*b**4 - 249*b**3 - 170*b**2 + 12*b. Let u(v) = -18*v**4 - 498*v**3 - 338*v**2 + 21*v. Let y(z) = 7*h(z) - 4*u(z). Factor y(p).
3*p**2*(p + 27)*(3*p + 2)
Let d(u) = -4*u**3 + 3*u**2 + 10*u - 3. Let n(o) = -2*o**2 - 2*o**2 + 2 + 5*o + 3*o**3 - 48*o + 34*o. Let c(a) = 2*d(a) + 3*n(a). Find i such that c(i) = 0.
-1, 0, 7
Let n = -2156/5 + 433. Let p = -9864 + 9866. Factor -12/5*r + 3/5*r**p + n.
3*(r - 3)*(r - 1)/5
Let g be 117/231 - (-407)/(-2849). Suppose -10/11*t**2 + 6/11 - g*t = 0. Calculate t.
-1, 3/5
Let s(c) be the first derivative of -2*c**3/7 + 29*c**2/7 - 52*c/7 + 1093. Factor s(j).
-2*(j - 1)*(3*j - 26)/7
Let y(u) be the first derivative of 2*u**5/35 + 6*u**4/7 - 218*u**3/21 - 12*u**2/7 + 216*u/7 + 435. Determine f so that y(f) = 0.
-18, -1, 1, 6
Let v be (-2)/(-84)*150 + 6/14. Let c(p) = p**3 + 5*p**2 - 5*p + 7. Let z be c(-6). Factor -v*a**2 + 2 - 3*a + 7*a**2 - a**3 - 2 + z.
-(a - 1)**3
Let m(q) = 16*q + 3*q**2 + 2*q**2 - 67 - 9*q**2. Let o(p) = -3*p**2 + 16*p - 66. Let l(h) = 2*m(h) - 3*o(h). Solve l(r) = 0.
8
Factor 130*p**3 + 1500*p**2 + 143*p + 221*p - 2*p - 4 + 622*p**3 + 382*p.
4*(p + 1)**2*(188*p - 1)
Let p be 111/6*-5 + 2/(-4). Let j = p - -95. What is o in 41*o**j - 47*o**2 + 3*o - o**3 - 11*o**3 + 3*o**3 = 0?
-1, 0, 1/3
Let h(j) be the first derivative of -42*j**2 + 88*j - 82 - 4/3*j**3. What is p in h(p) = 0?
-22, 1
Suppose -586*v = -1514*v + 1856. Let q = -52 + 209/4. Let w**3 - 3/4*w**v - q*w**4 - w + 1 = 0. Calculate w.
-1, 1, 2
Factor 2/5*k**2 + 4476/5*k + 2504322/5.
2*(k + 1119)**2/5
Let m(w) = -8*w**2 + 330*w + 2723. Let b(i) = 105*i**2 - 4300*i - 35400. Let j(u) = -3*b(u) - 40*m(u). Let j(x) = 0. What is x?
-8, 68
Factor -5/3*z**2 + 5365/3*z + 1790.
-5*(z - 1074)*(z + 1)/3
Let g(l) be the second derivative of -l**4/36 + 2*l**3/3 - 11*l**2/6 + 1138*l. Factor g(u).
-(u - 11)*(u - 1)/3
Let w(h) be the second derivative of h**5/20 - 7*h**4/3 + 209*h**3/6 - 91*h**2 - 5250*h. Find s, given that w(s) = 0.
1, 13, 14
Let j = 253 - 249. Factor 21*w**2 - j - 10*w**2 - 64*w + 31*w**2 + 26*w**2.
4*(w - 1)*(17*w + 1)
Let x(o) = o**3 - 11*o**2 - 44*o + 35. Let q be x(17). Solve -27*n - 292 - 27*n + n**2 + q = 0.
27
Let f(q) be the third derivative of q**8/1344 - 13*q**7/420 + 3*q**6/32 + 3*q**5/10 - 2*q**2 - 1459. Find o, given that f(o) = 0.
-1, 0, 3, 24
Let d be ((-16)/20)/((-2)/10). Suppose 18*p - 33 = 1911. Factor 127*n**4 + 52*n**2 - 8*n**5 - 12*n + 4*n - 35*n**d - p*n**3 - 20*n**5.
-4*n*(n - 1)**3*(7*n - 2)
Factor -79922*o**3 - 80009*o**3 + 160020*o**3 + o**4.
o**3*(o + 89)
Let u(l) be the second derivative of -1/15*l**6 + 44/3*l**3 + 1/10*l**5 + 24*l**2 + 4*l + 0 + 11/3*l**4. Solve u(a) = 0 for a.
-2, -1, 6
Suppose 12 = -4*n + l, 3*n - 3*l = 468 - 522. What is o in -2/3*o**3 + 2/3*o**4 - 6*o**n + 6*o + 0 = 0?
-3, 0, 1, 3
Suppose -16*b + 687 - 127 = 12*b. Find y, given that 64/3*y - 8/3*y**3 + 20/3*y**4 - b*y**2 - 16/3 = 0.
-2, 2/5, 1
Let h(j) = j**4 + 61*j**3 + 1214*j**2 + 1004*j - 2320. Let r(d) = d**3 + d**2 + 2*d + 1. Let g(m) = -5*h(m) - 40*r(m). Determine y so that g(y) = 0.
-34, -2, 1
Let y(d) be the first derivative of 133*d**4/26 - 128*d**3/39 + 4*d**2/13 + 184*d + 126. Let o(i) be the first derivative of y(i). Factor o(l).
2*(7*l - 2)*(57*l - 2)/13
Let t(g) = -284*g**2 + 33*g + 5. Let s(y) = -142*y**2 + 19*y + 3. Let j(o) = -5*s(o) + 3*t(o). Suppose j(n) = 0. What is n?
0, 2/71
Factor 5 - 629*n**2 + 31 + 3*n**3 + 51*n - 2*n**3 + 645*n**2.
(n + 1)*(n + 3)*(n + 12)
Factor -13/7*a**2 - 1/7*a**4 - 4/7 - 12/7*a - 6/7*a**3.
-(a + 1)**2*(a + 2)**2/7
Let w(n) be the third derivative of -n**5/12 - 3205*n**4/24 - 1600*n**3/3 - 2595*n**2. Solve w(q) = 0 for q.
-640, -1
Let f(y) be the third derivative of -y**5/12 + 185*y**4/6 - 730*y**3/3 + 11*y**2 + 59*y. Factor f(m).
-5*(m - 146)*(m - 2)
Let y be 175/10 + (-12)/(-8). Let f(l) be the first derivative of 0*l**2 - y + 1/16*l**4 - 1/6*l**3 + 0*l. Factor f(v).
v**2*(v - 2)/4
Suppose 5*o - g + 23 = 9, -5*g = -5*o - 30. Let b be (-836)/(-1520) - o/8. Factor -8/5 - b*m**3 + 4/5*m**4 + 4*m - 12/5*m**2.
4*(m - 1)**3*(m + 2)/5
Let g(i) = 28*i**2 + 2*i + 2. Suppose 0*x - 2*x = z + 1, -x + 4*z - 5 = 0. Let v be g(x). Factor 10*w + 4*w - 14*w + v*w**2 + 16*w**3 + 12*w.
4*w*(w + 1)*(4*w + 3)
Let u = -174212 - -174212. Solve 13/4*y**3 - 5/2*y**2 + u*y - 1/2*y**4 + 0 - 1/4*y**5 = 0.
-5, 0, 1, 2
Let t(v) = -12*v - 14*v**2 - 12 - 5 - 16*v. Let f(r) = -5*r**2 - 10*r - 6. Let k(c) = 17*f(c) - 6*t(c). Factor k(j).
-j*(j + 2)
Let a(o) be the second derivative of -8/27*o**3 + 1/45*o**5 + 2/27*o**4 + 0*o**2 - 1/135*o**6 + 0 - 28*o. Determine h so that a(h) = 0.
-2, 0, 2
Let 54*b - 447 - 218 - 184*b - 5*b**2 = 0. Calculate b.
-19, -7
Solve u**3 - 4*u**2 - 2*u**4 - 12*u**2 + 576151 - 576151 - 19*u**3 = 0.
-8, -1, 0
Solve -188*p + 13*p**4 + 12*p**2 - 12*p**4 + 60*p**3 - 5*p**4 - 51 + 84 + 87 = 0.
-2, 1, 15
Let v(i) be the second derivative of -i**4/9 + 8*i**3/9 + 594*i. Factor v(t).
-4*t*(t - 4)/3
Let g = 362 + -359. Determine n so that 148*n**2 + 45*n**2 + 100*n**5 + 346*n**g + 44*n + 102*n**4 - 12*n**2 + 4 + 48*n**4 + 155*n**4 = 0.
-1, -2/5, -1/4
Suppose -5840*j**2 - 4743*j - 960 + 3787*j**2 - 1001*j - 5820*j**3 - 4243*j**2 + 100*j**4 - 4408*j**2 = 0. Calculate j.
-1, -2/5, 60
Let s(l) = -l**3 + 11*l**2 + 65*l - 712. Let h be s(11). Find f, given that 10*f - 15/2*f**h - 1/2*f**5 + 2*f**2 + 0 - 4*f**4 = 0.
-5, -2, 0, 1
Let q(f) = -11*f**4 + 43*f**3 + 143*f**2 + 95*f. Let g(r) = -23*r**4 + 85*r**3 + 287*r**2 + 165*r. Let h(d) = -3*g(d) + 5*q(d). Let h(j) = 0. Calculate j.
-2, -1/7, 0, 5
Let z(h) be the first derivative of h**4/10 + 872*h**3/15 - h**2/5 - 872*h/5 + 2733. Factor z(w).
2*(w - 1)*(w + 1)*(w + 436)/5
Let d(h) = 5*h - 130. Let n be d(45). Determine o so that 3*o - n - 21*o**2 + 3*o**4 - 86 - 11*o**3 + 191 = 0.
-1, 2/3, 5
Let y(o) = -2845*o**3 - 14789*o**2 - 1872*o - 56. Let t(w) = 11361*w**3 + 59157*w**2 + 7488*w + 222. Let r(q) = -2*t(q) - 9*y(q). Determine j so that r(j) = 0.
-5, -2/31
Solve -525/2 - 5/2*v**2 - 95*v = 0 for v.
-35, -3
Let u(o) = -o + 1. Let x be ((1 - 3) + 6)/(2/1). Let s(a) = 9 + 10 - 10*a + 804*a**x - 807*a**2 - 6. Let m(w) = s(w) - 4*u(w). Factor m(j).
-3*(j - 1)*(j + 3)
Let c be 620004/(-34398) - 3/(-13). Let f = c - -161/9. Find p such that 8/7*p**2 - 4/7*p + f - 16/21*p**3 = 0.
1/2
Let u = 809 + -773. Let g be (1408/u)/(-8) + 3 + 3. Determine p so that -14/9*p**2 - 4/9*p**3 - g + 28/9*p = 0.
-5, 1/2, 1
Let r(a) = -12*a + 225. Let y be r(19). Let v be (6/(-4))/(y - 27/36). Factor v*u**2 - 4/5*u + 2/5.
2*(u - 1)**2/5
Let k(r) be the second derivative of 2/25*r**5 + 4/5*r**2 - 173*r + 1/150*r**6 + 7/20*r**4 + 0 + 11/15*r**3. Factor k(q).
(q + 1)**2*(q + 2)*(q + 4)/5
Suppose 5*f + 0*v + v = 804, 2*v - 159 = -f. Suppose -88 + 51 - 122 - 400*g - f - 125*g**2 = 0. What is g?
-8/5
Suppose 3*z = 4*a + 311, -51*z - 2*a + 527 = -46*z. Factor z*t**2 + 5/3*t**4 + 65/3*t**3 + 225*t + 180.
5*(t + 3)**3*(t + 4)/3
Let r be -3 + 3 + 7 + -22 + (-16 - -33). Let y(k) be the first derivative of -5/4*k**4 + 0*k + 20/3*k**3 - k**5 - 41 + 10*k**r. Factor y(b).
-5*b*(b - 2)*(b + 1)*(b + 2)
Let g = 4034/9 + -448. Suppose -2/9*o**2 + 4/3 + g*o = 0. What i