 3*p**3 + 465*p**2 - 4*p - 4. Let s = -872 - -847. Let v(f) = s*n(f) - 4*q(f). Factor v(x).
5*x**2*(x - 93)
Let r(s) be the second derivative of 215*s + 0*s**2 + 0*s**5 + 0*s**3 + 1/3*s**4 + 0 - 2/15*s**6. Factor r(j).
-4*j**2*(j - 1)*(j + 1)
Factor -1/7*k**5 + 200/7*k**4 - 13059/7*k**3 + 259556/7*k**2 + 1216112/7*k + 943296/7.
-(k - 68)**3*(k + 1)*(k + 3)/7
Suppose -86*n + 82*n = 5*c - 51, 0 = 4*c - 5*n + 33. Suppose 18/7*m**2 + 36/7*m + 24/7 + 3/7*m**c = 0. What is m?
-2
Let o(t) = -27*t**3 + 123*t**2 - 2180*t + 3839. Let j(u) = -11*u**3 + 62*u**2 - 1089*u + 1920. Let q(r) = 5*j(r) - 2*o(r). Solve q(m) = 0 for m.
2, 31
Suppose -7 = -m + 8*m. Let r(d) = d**4 - 5*d**3 + 15*d**2 - d - 4. Let u(g) = -g**4 + g - 1. Let s(p) = m*r(p) - 6*u(p). Factor s(b).
5*(b - 1)**2*(b + 1)*(b + 2)
Let a be (-42)/(-525) - 3*784/(-600). Let h(o) be the first derivative of 4*o**2 - 20 - 5/3*o**3 + 1/4*o**4 - a*o. Determine c so that h(c) = 0.
1, 2
Let u(f) = -3*f**3 - 1329*f**2 - 194478*f - 9529566. Let q(c) = -2*c**2 + c + 1. Let d(g) = -3*q(g) + u(g). Find x such that d(x) = 0.
-147
Suppose 29 = 3*q - 19. Let m(t) = 12*t**2 + 16*t - 16. Let h(k) = k**2 - k + 2. Let n(x) = q*h(x) - m(x). Factor n(j).
4*(j - 6)*(j - 2)
Let w be (-2)/(-9)*-1 - (-1073)/333. Suppose -3*r + 42 = -w. Factor 25*d**2 + 26*d + 9*d + r + d**3 + 4*d**3.
5*(d + 1)**2*(d + 3)
Let d(u) be the third derivative of 7*u**6/24 - 39*u**5/4 + 65*u**4/4 + 80*u**3/3 + 2*u**2 + 39*u + 3. Factor d(l).
5*(l - 16)*(l - 1)*(7*l + 2)
Let i(d) = -7*d**2 - 10*d + 38. Let l = 29 + -31. Let t(n) = -50*n**2 - 70*n + 265. Let g(k) = l*t(k) + 15*i(k). Factor g(b).
-5*(b - 2)*(b + 4)
Suppose -26 + 31 = -l + 3*i, 5*i = 3*l + 3. Determine h, given that 2*h**l + 0 + 0*h**2 + 2/7*h**5 + 0*h**3 + 0*h = 0.
-7, 0
Let k(u) be the second derivative of -u**4/12 - u**3/3 + u**2/2 - 6*u + 2. Let w(a) = 6*a**2 + 132*a + 1022. Let o(q) = -2*k(q) - w(q). Solve o(j) = 0 for j.
-16
Let o(n) = -3*n**2 + 3744*n - 1168188. Let i(x) = -4. Let m(q) = 15*i(q) - o(q). Factor m(u).
3*(u - 624)**2
Let c(d) be the first derivative of 1/5*d**3 + 1/20*d**4 - 1/25*d**5 + 34 - 1/10*d**2 - 2/5*d. Factor c(z).
-(z - 2)*(z - 1)*(z + 1)**2/5
Let d(j) be the first derivative of -j**8/2520 + j**6/90 - 2*j**5/45 + j**4/12 - 29*j**3/3 + 127. Let c(p) be the third derivative of d(p). Factor c(z).
-2*(z - 1)**3*(z + 3)/3
Let f(r) be the second derivative of 2*r + 25/7*r**2 - 73 + 1/84*r**4 + 17/14*r**3. Factor f(h).
(h + 1)*(h + 50)/7
Solve 4721664*u + 0*u**3 - 14832818*u - 11742*u**2 - 14990028986 - 12867940*u - 2*u**3 = 0 for u.
-1957
Let z(a) be the second derivative of -a**8/2800 + a**7/280 - a**6/100 + a**3/3 - 86*a. Let j(q) be the second derivative of z(q). Factor j(g).
-3*g**2*(g - 3)*(g - 2)/5
Let n = 898/4137 - 24/197. Let x(t) be the second derivative of 1/42*t**4 + n*t**3 + 0 + 0*t**2 - 27*t - 1/70*t**5. Factor x(u).
-2*u*(u - 2)*(u + 1)/7
Find x such that -21025/2*x**2 - 9/2 + 435*x = 0.
3/145
Let c(z) = z**2 + 26*z + 29. Let r be c(-25). Solve 12*n**r - 36*n**4 - 48*n**2 - 4*n**5 - 37*n**3 - 15*n**3 + 38*n - 54*n = 0 for n.
-2, -1, 0
Let w be 4 - (2 + -1 + -7). Let r be (-4)/18*((-370)/(-40) - w). Factor 1/2*q + 1/2*q**2 + r*q**3 + 1/6.
(q + 1)**3/6
Suppose -3*y = 2*w + w, 0 = -6*y - 2*w + 16. Factor -y*t**2 + 52 - 8*t + 37 - 73 - 2*t**3 + 4*t**3.
2*(t - 2)**2*(t + 2)
Let w(h) be the third derivative of -h**6/240 - 7*h**5/120 - h**4/6 + 4*h**3/3 - 9*h**2 - 48. Factor w(b).
-(b - 1)*(b + 4)**2/2
Let i = 111 + -108. Solve 15*l + 3 + 3*l**4 - 9*l - 9*l - 3*l**5 - 6*l**2 + 6*l**i = 0.
-1, 1
Let g(t) = -88*t**3 - 1352*t**2 - 4756*t - 192. Let p(v) = -90*v**3 - 1351*v**2 - 4757*v - 193. Let r(n) = -3*g(n) + 4*p(n). Factor r(y).
-4*(y + 7)**2*(24*y + 1)
Let r(i) be the first derivative of -2*i**3/9 + 196*i**2/3 - 566. Let r(x) = 0. What is x?
0, 196
Suppose 2*d = -5*v + 2, 0 = 2*d - 3*v - 0 - 2. Let j(m) = 2*m**2 + 2*m. Let l(x) = x**2 + x. Let o = 1022 - 1028. Let s(z) = d*j(z) + o*l(z). Solve s(t) = 0.
-1, 0
Let p(i) = i**3 + 4*i**2 - 5*i + 6. Let n be p(4). Factor 1073*b - n*b**2 + 0*b**3 - 298*b + 308*b + 3*b**3 + 0*b**3.
3*b*(b - 19)**2
Let d(z) be the first derivative of 17/12*z**3 + 0*z + 0*z**2 - 1/16*z**4 - 23. Factor d(k).
-k**2*(k - 17)/4
Let b(x) be the second derivative of -x**7/21 + 322*x**6/5 + 387*x**5/2 + 484*x**4/3 - 98*x + 53. What is f in b(f) = 0?
-1, 0, 968
Suppose 2274 = -4*q + 2270, 4*l + 2*q - 18 = 0. Factor 12/5*k**4 + 6/5*k + 0 + 24/5*k**3 + 2/5*k**l + 4*k**2.
2*k*(k + 1)**3*(k + 3)/5
Suppose -907*g**2 - 2719/3*g + 2/3 = 0. What is g?
-1, 2/2721
Let a(x) = 5*x**2 + 1. Let f(t) = 126*t**2 - 68*t + 1132. Let o(m) = 50*a(m) - 2*f(m). Factor o(r).
-2*(r - 41)*(r - 27)
Suppose 114*r + 5*r - 238 = 0. Let v(w) be the first derivative of -4 + 2/3*w**6 + 0*w - r*w**4 + 2*w**2 + 0*w**3 + 0*w**5. Factor v(g).
4*g*(g - 1)**2*(g + 1)**2
Let h(d) be the first derivative of 0*d**2 - 106 + 0*d**3 + 11/14*d**4 + 2/35*d**5 + 0*d. Determine i, given that h(i) = 0.
-11, 0
Let k = -671926 - -1344035/2. Factor 9 - k*t - 63/2*t**2.
-3*(t + 3)*(21*t - 2)/2
Let j(w) = w**3 - 64*w**2 + 872*w - 790. Let b be j(18). Factor 13/2*y + 0 + 15/2*y**3 - 1/2*y**4 - 27/2*y**b.
-y*(y - 13)*(y - 1)**2/2
Let 154*a**2 + 9*a**5 - 9*a**3 - 193 + 247*a**2 + 8*a + 136*a + 154*a**2 - 87*a**4 - 131 = 0. Calculate a.
-2, -1, 2/3, 3, 9
Suppose 3*r + 4 - 10 = 0. Suppose -r*m = -0*m - 20. Factor 15 - 5 + 2*t**2 - m.
2*t**2
Let f(v) be the third derivative of -v**7/210 - 2*v**6/45 + 11*v**5/30 - v**4 + 23*v**3/2 + 19*v**2 - 3. Let s(i) be the first derivative of f(i). Factor s(d).
-4*(d - 1)**2*(d + 6)
Let z(r) be the third derivative of r**9/15120 + r**8/1680 + r**7/630 + 3*r**5/20 - r**4/8 + r**2 + 32*r. Let x(u) be the third derivative of z(u). Factor x(w).
4*w*(w + 1)*(w + 2)
Suppose 0 = 2*i + 8, -13*i - 84 = 4*x - 14*i. Let z = x - -206/9. Find o such that z + 2/3*o - 2/9*o**2 = 0.
-1, 4
Factor 2/9*i**4 + 0*i + 44/9*i**3 + 80/9*i**2 + 0.
2*i**2*(i + 2)*(i + 20)/9
Let l(c) be the third derivative of -c**6/600 - 4*c**5/75 - 11*c**4/24 - 4552*c**2. Factor l(r).
-r*(r + 5)*(r + 11)/5
Solve -58*u**3 + 68*u**4 + 8*u - 70/3*u**5 + 16/3*u**2 + 0 = 0.
-2/7, 0, 1, 6/5
Determine p, given that 26/15*p**3 + 0*p + 28/5*p**2 + 0 + 2/15*p**4 = 0.
-7, -6, 0
Let h be (-2)/4*9 - (-254 - -249). Solve -h*l**2 + 3/2 - l = 0.
-3, 1
Let k(w) be the second derivative of -w**6/30 + 13*w**5/10 + 193*w**4/12 - 13*w**3/3 - 96*w**2 + 1197*w. Solve k(s) = 0 for s.
-6, -1, 1, 32
What is v in -551*v + 789*v + 265*v**2 + 641*v - 2*v**3 + 731*v + 7*v**3 = 0?
-46, -7, 0
Let g = 53 + 1. Suppose -f - 16 = -g. Solve f + 0*c**2 - 44 - c + c**2 = 0.
-2, 3
Let g(h) be the second derivative of -h**6/285 - h**5/38 + 43*h**4/114 + 53*h**3/57 - 90*h**2/19 + 2768*h. Determine w, given that g(w) = 0.
-9, -2, 1, 5
Let i(v) = 132*v**2 - 176*v - 208. Let m(l) = 9*l**2 - l - 1. Let s(h) = -i(h) + 16*m(h). Find o, given that s(o) = 0.
-12, -4/3
Let u be ((-1199)/109)/(605/(-110)). Determine q, given that -6/11*q**3 - 12/11*q**u + 56/11*q - 48/11 + 2/11*q**4 = 0.
-3, 2
Let h(y) = -10*y**2 - 208*y + 6. Let q(k) = -2*k**2 - 2*k + 1. Let i(c) = -2*h(c) + 12*q(c). Let i(g) = 0. Calculate g.
0, 98
Let r(s) be the third derivative of -s**6/40 - 1921*s**5/20 - 921599*s**4/8 + 923521*s**3/2 + 1301*s**2. Find v, given that r(v) = 0.
-961, 1
Let i(a) be the first derivative of 4*a**2 + 17/2*a - 1/6*a**3 + 60. Solve i(x) = 0.
-1, 17
Find n, given that 231*n**2 - 4060*n - 4*n**3 + 224*n**2 + 415*n**2 + 2028 + 1166*n**2 = 0.
1, 507
What is d in -4*d**2 - 2/5*d**3 - 14/5*d + 36/5 = 0?
-9, -2, 1
Let j(y) = -62*y**2 + 191*y - 5. Let q be j(5). Let d = q - -4206/7. Factor 0 + 2/7*s**2 - d*s.
2*s*(s - 3)/7
Suppose -51 = -f + i - 75, -5*f + 3*i - 114 = 0. Let p(w) = 4*w**2 - 46*w - 36. Let d(t) = t**2 - 15*t - 12. Let b(j) = f*d(j) + 6*p(j). Factor b(m).
3*(m + 1)*(m + 12)
Let v = 213 - 224. Let l(y) = -36*y**3 + 289*y**2 + 36*y - 289. Let o(x) = 7*x**3 - 58*x**2 - 7*x + 58. Let t(k) = v*o(k) - 2*l(k). Suppose t(z) = 0. What is z?
-1, 1, 12
Let k be (1 + -3 + 13)*1. Let a = k + -5. What is j in 5*j**2 - a - 3 + 10*j + 14 = 0?
-1
Suppose 0 = 5*t - 4*k - 24, 0 = 7*k - 11*k - 4. Solve -5*s**3 + 11*s + 4*s**2 - 7*s**2 - 12*s**2 - 5*s**5 