tor v(i).
-2*(i + 1)*(i + 56)
Let k(n) = -29*n**3 - 790*n**2 + 268*n + 8. Let i(w) = 900*w**3 + 24490*w**2 - 8295*w - 250. Let q(d) = -4*i(d) - 125*k(d). Factor q(x).
5*x*(x + 32)*(5*x - 2)
Let i(v) be the second derivative of v**8/84 + 8*v**7/105 - v**6/10 - 6*v**5/5 - 201*v**2/2 + 74*v + 1. Let o(j) be the first derivative of i(j). Factor o(y).
4*y**2*(y - 2)*(y + 3)**2
Let m be (184/52)/((-772)/(-7527)). What is v in -m*v**2 + 14*v**3 - 3 - 43/2*v = 0?
-2/7, -1/4, 3
Let s(h) be the second derivative of -h**4/12 + 41*h**3/6 - 209*h**2 + 178*h. Let a be s(19). Factor 3/4*l**3 - 3/4*l**4 + a + 1/4*l**5 - 1/4*l**2 + 0*l.
l**2*(l - 1)**3/4
Let w(d) be the second derivative of d**2 - 121*d + 0 - 1/6*d**4 + 1/30*d**5 - 1/9*d**3. Factor w(t).
2*(t - 3)*(t - 1)*(t + 1)/3
Let k(y) = y**3 + 7*y**2 + 15*y + 44. Let l be k(-5). Factor -4*z**5 - 5*z**4 - 17*z**2 - 48*z**3 - 15*z**2 - l*z**4.
-4*z**2*(z + 2)**3
Suppose 20*y = 17*y + 36. Let k(r) = r**2 + 3*r + 1. Let m(w) = -9*w**2 - 114*w - 12. Let n(h) = y*k(h) + m(h). Factor n(j).
3*j*(j - 26)
Let z(j) be the second derivative of -j**4/54 + 8*j**3/9 - 80*j**2/9 + 1116*j. Factor z(b).
-2*(b - 20)*(b - 4)/9
Let y(a) = -53*a + 265. Let h be y(5). Suppose -5*j + j - 10 = -5*b, h = -5*j. Factor -1/2*i + 7/4*i**b + 0.
i*(7*i - 2)/4
Suppose 10 - 2 = 2*k. Solve k*d**3 + d**2 - 3*d**3 - d**4 - 213 + 213 - d**5 = 0.
-1, 0, 1
Let k(g) be the third derivative of 3/4*g**3 + 1/320*g**6 + 13/480*g**5 + 97*g**2 - 17/64*g**4 + 0 - 1/1680*g**7 + 0*g. Let k(q) = 0. What is q?
-4, 1, 3
Let n be (18/4)/(21/14). Determine c so that 45*c**n - 25*c + c**2 + 6*c**4 + 10*c**2 - 16*c**4 + 19*c**2 = 0.
-1, 0, 1/2, 5
Let b(i) be the first derivative of i**5/5 + 5*i**4/2 - 4*i**3 - 5*i**2 + 11*i + 1850. Let b(l) = 0. Calculate l.
-11, -1, 1
Suppose 17*d = 21*d + 2*f + 14, 0 = 4*d - 8*f - 136. Factor y**3 + 1/3*y**5 - 32/3*y - d - 23/3*y**2 + 7/3*y**4.
(y - 2)*(y + 1)**3*(y + 6)/3
Let b(o) be the third derivative of -o**8/672 + 3*o**7/140 - 3*o**6/40 - 4*o**5/15 + 2*o**4 - 7*o**2 + 128. Suppose b(u) = 0. Calculate u.
-2, 0, 3, 4
Let s be (-861)/82 + 7/(98/210). Factor 1/4*k**3 + 0*k + s*k**2 + 0.
k**2*(k + 18)/4
Factor -3/8*k**2 + 561/4 - 1119/8*k.
-3*(k - 1)*(k + 374)/8
Let z(o) be the second derivative of 2*o**5/35 + 151*o**4/42 + 250*o**3/21 - 72*o**2/7 - 246*o. Solve z(u) = 0.
-36, -2, 1/4
Suppose 39*r - 4985 = 34*r. Factor -r - 5*w - 6*w - 3*w - 2*w**2 + 1033.
-2*(w - 2)*(w + 9)
Let w = -2 + 5. Let s = -8009 - -8016. Suppose -l**2 + 10*l**w - 9*l - 9*l**3 + s*l = 0. What is l?
-1, 0, 2
Let j(c) be the second derivative of c**6/480 - c**5/20 + 7*c**4/32 + c**3/2 + 7*c**2/2 - 43*c. Let w(o) be the second derivative of j(o). Factor w(i).
3*(i - 7)*(i - 1)/4
Suppose -29 = 8*s - 45. Solve -2 + 0*r**2 + 5*r**2 + 4*r - 8*r**s + r**2 = 0 for r.
1
Factor -2*z**3 + 538*z + 2*z**4 + 19*z**3 + 480*z**2 + 52*z**3 + 1126*z + 2048 - 13*z**3.
2*(z + 4)**3*(z + 16)
Let w(q) = -q**3 - q**2 - 1. Suppose -4*l - 8 + 13 = -b, l - 5*b = 6. Let x(s) = -s**3 - 79*s**2 + 1520*s - 1446. Let u(t) = l*x(t) - 2*w(t). Factor u(i).
(i - 38)**2*(i - 1)
Let c(h) be the third derivative of h**8/141120 - h**7/840 - 11*h**6/630 - h**5/5 + h**3/2 + 303*h**2. Let z(m) be the third derivative of c(m). Factor z(p).
(p - 44)*(p + 2)/7
Let a(t) = 447*t**3 - 1050*t**2 + 352*t - 14. Let r(s) = 448*s**3 - 1050*s**2 + 352*s - 11. Let h(f) = -7*a(f) + 6*r(f). Find l, given that h(l) = 0.
4/21, 2
Let f(u) be the second derivative of -224*u**5/15 - 8*u**4/9 + 17*u**3/9 + u**2/2 - 364*u - 3. Solve f(z) = 0 for z.
-1/8, 3/14
Factor 1950 + 280*r + 73/6*r**2 + 1/6*r**3.
(r + 13)*(r + 30)**2/6
Let d(a) be the second derivative of a**7/840 + 29*a**6/2160 + a**5/60 - 11*a**4/6 - 5*a - 1. Let h(l) be the third derivative of d(l). Factor h(f).
(f + 3)*(9*f + 2)/3
Factor -314 - 561 + 3*k**2 + 975*k - 635*k - 541 + 1073*k.
3*(k - 1)*(k + 472)
Let f(y) = -59*y + 78. Let b be f(-10). Factor 6*p**3 + 5 + 0*p**4 + b*p**2 - 2*p**4 + 11 - 664*p**2 - 24*p.
-2*(p - 2)**2*(p - 1)*(p + 2)
Let m(p) be the second derivative of -p**7/1260 - p**6/45 - 7*p**4 + p - 3. Let b(g) be the third derivative of m(g). Factor b(z).
-2*z*(z + 8)
Let s = -18526 - -203790/11. Let u(w) be the first derivative of 0*w**5 - 1/33*w**6 + 5 - s*w - 3/11*w**2 + 2/11*w**4 + 4/33*w**3. Solve u(j) = 0.
-1, 1, 2
Suppose -40 = -9*g + 10*g. Let v = -8 - g. Determine u, given that -5*u**2 + 4*u**5 - 6*u**4 - 14*u**4 - 11*u**2 + v*u**3 = 0.
0, 1, 2
Factor 2/7*v**2 + 636/7*v + 0.
2*v*(v + 318)/7
Let x(s) = -5*s**2 + 43*s + 202. Let v(w) = -18*w**2 + 174*w + 810. Let b(d) = 4*v(d) - 15*x(d). Factor b(o).
3*(o + 7)*(o + 10)
Determine i, given that 6569*i**2 + 4*i**3 + 5438224 + 2763*i**2 + 6533972*i - 1086420*i = 0.
-1166, -1
Let q be 0 - (-2*-10*14/(-112) - 34/(-20)). Factor -14/5*m**2 - 14/5*m - q - 4/5*m**3.
-2*(m + 1)*(m + 2)*(2*m + 1)/5
Suppose 25*y = 20*y + 15. Factor -5*u**4 + 12*u**4 - 2*u**4 + 11*u**2 - 6*u - 6*u**y - 5*u**4 + u**4.
u*(u - 3)*(u - 2)*(u - 1)
Let n(x) be the second derivative of -x**7/8400 + 7*x**5/1200 - x**4/40 + 5*x**3/3 - 5*x + 5. Let m(s) be the second derivative of n(s). Factor m(u).
-(u - 2)*(u - 1)*(u + 3)/10
Suppose 4*k + 3*y - 45 = 0, 1 = 5*k + 3*y - 56. Solve q**2 - 6 + 0*q - k*q + 7*q = 0 for q.
-1, 6
Let b(u) be the third derivative of u**6/60 + 7*u**5/12 - 103*u**4/24 - 10*u**3 - u**2 - 780. Determine l so that b(l) = 0.
-20, -1/2, 3
Suppose 18*d - 2 = 20*d, -2*n + 3*d = -3. Let t(g) be the second derivative of 11/8*g**4 + n - 31/12*g**3 - 23*g - 1/2*g**2. Let t(u) = 0. Calculate u.
-2/33, 1
Let o = -25 - -177. Determine w, given that 12*w**4 + o*w - 30*w**2 - 95*w**2 + 321*w**2 + 88*w**3 + 32 = 0.
-4, -2, -1, -1/3
Determine m, given that 125/2*m**3 - 129 + 643/2*m + 1/2*m**4 - 511/2*m**2 = 0.
-129, 1, 2
Let h be ((-3)/(-9) - (16 - (-1275)/(-45))) + (-13 - -5). Factor h*v**2 + 16/3*v - 8/3 - 10/3*v**3.
-2*(v - 2)*(v + 1)*(5*v - 2)/3
Let z(u) be the third derivative of 0*u - 13/24*u**6 + 0*u**3 - 1/42*u**7 + 30 - u**2 + 0*u**4 + 7/6*u**5. Factor z(k).
-5*k**2*(k - 1)*(k + 14)
Let l(j) be the first derivative of -j**6/2 + 69*j**5/5 + 75*j**4/2 - 576. Suppose l(k) = 0. Calculate k.
-2, 0, 25
Let y(l) be the second derivative of 3*l**4/4 - 16*l**3 + 30*l**2 - 1978*l. Let y(x) = 0. Calculate x.
2/3, 10
Suppose 390*n + 948 = 1236*n - 530*n. Factor -3/7*u**2 + 0*u + 0 - 3/7*u**4 + 6/7*u**n.
-3*u**2*(u - 1)**2/7
Suppose 82*r - 101*r = 0. Suppose r = -a - 3*w + 14, -2 = 5*a - 2*w - w. Factor 3/5*o**3 - 3/5*o - 3/5*o**a + 3/5.
3*(o - 1)**2*(o + 1)/5
Let m(v) be the first derivative of v**4/34 + 14*v**3/51 + 2*v**2/17 - 80*v/17 - 3664. Let m(g) = 0. What is g?
-5, -4, 2
Let s(q) be the third derivative of q**7/42 - 19*q**6/240 - q**5/60 + 2*q**2 - 71. Factor s(y).
y**2*(y - 2)*(10*y + 1)/2
Let n(p) = -2*p - 228. Let z be n(-8). Let x = -212 - z. Factor 1/8*h**3 + x - 3/8*h**2 + 0*h.
h**2*(h - 3)/8
Let q(j) = j**2 - 4*j + 50. Let r be q(0). Factor 8*a**2 - 12 - 16 - 2*a**4 + r + 2*a**3 + 7*a - 20 - a**5.
-(a - 2)*(a + 1)**4
Let t = -774 - -766. Let f be ((8 + t)/(-2))/(-3). Suppose 0*a**2 - 6/7*a**3 - 8/7*a**4 + f*a - 2/7*a**5 + 0 = 0. Calculate a.
-3, -1, 0
Let i(f) be the first derivative of f**4/22 + 8*f**3/33 - 19*f**2/11 + 28*f/11 - 918. Let i(k) = 0. What is k?
-7, 1, 2
Let g(t) = 140*t**3 - 1424*t**2 - 124*t + 300. Let j(z) = -94*z**2 - 1. Let u(f) = g(f) - 12*j(f). Factor u(r).
4*(r - 2)*(r + 1)*(35*r - 39)
Determine v, given that 304/7*v + 72/7 + 342/7*v**2 - 50/7*v**4 + 60/7*v**3 = 0.
-1, -2/5, 18/5
Determine r, given that 7/3*r**2 - 950/3 - 3323/3*r = 0.
-2/7, 475
Let z(l) = 30*l**3 - 26322*l**2 - 2725632*l - 94488975. Let i(a) = -a**3 + 940*a**2 + 97344*a + 3374606. Let t(q) = 57*i(q) + 2*z(q). Solve t(d) = 0 for d.
-104
Let b = -773601 + 3868197/5. Find s such that -34/5*s**2 - 72 - 2/5*s**3 - b*s = 0.
-6, -5
Let p(o) be the third derivative of 9*o**6/8 - 21*o**5/10 - o**4/2 + 4*o**3 + 1474*o**2. Factor p(l).
3*(3*l - 2)**2*(5*l + 2)
Find k such that 608/5*k**2 - 122/5 - 356/5*k**3 - 6/5*k**4 - 124/5*k = 0.
-61, -1/3, 1
Let s(w) = w**3 - 4*w**2 + 2*w - 4. Let h be s(4). Suppose -10*u = 413 - 433. What is c in u*c**2 + 3*c + 2 - 2*c - c + h*c = 0?
-1
Suppose -10*q = -13*q + 12. Let m be (15