 1/30*p**5 + 5/6*p**3 - 1/12*p**4 + 0*p**2 - 1/180*p**6 - 8*p. Let g(o) be the second derivative of t(o). Factor g(b).
-2*(b - 1)**2
Let z be 4 - 400/125*(4 + 55/(-20)). Suppose z*g**2 + g**4 + 0 + 10/3*g**3 - 1/3*g**5 + 0*g = 0. What is g?
-2, 0, 5
Let b(p) be the third derivative of 5/24*p**4 + 0 - 10/3*p**3 - 186*p**2 - 1/24*p**6 + 1/3*p**5 + 0*p. Find x such that b(x) = 0.
-1, 1, 4
Let n(g) be the first derivative of g**7/4620 + 2*g**6/495 - g**5/60 - 3*g**4/22 - 94*g**3/3 + 128. Let f(v) be the third derivative of n(v). Solve f(s) = 0.
-9, -1, 2
Suppose -52 = -4*f + 8*f, -2*f - 40 = u - 18. Find k such that 0 + 28/17*k**3 - 2/17*k**u + 0*k - 98/17*k**2 = 0.
0, 7
Let d = 151 - 155. Let p(o) be the third derivative of 2*o**4/3 - 4*o**3/3 - 2*o**2. Let q(a) = -a**2 - 17*a + 8. Let n(f) = d*q(f) - 5*p(f). Factor n(b).
4*(b - 2)*(b - 1)
Let w(u) be the first derivative of 18*u - 27*u + 37 + 0*u**3 - u**3 + 6*u**2. Let w(a) = 0. What is a?
1, 3
Suppose -827 = -g + 809. Let a = g + -846. Suppose a - 790 - 24*r - 4*r**2 = 0. Calculate r.
-6, 0
Let u = -1606 + 1620. Let c be (18/u)/3 - (-150)/875. Determine l so that -3/5*l + 0 - c*l**2 = 0.
-1, 0
Solve 2*j**3 + 1036*j**2 - 2468*j**2 - 7*j**3 + 1242*j**2 = 0.
-38, 0
Suppose 5*x + 46353*f - 46355*f + 23 = 0, -4*x - 4*f + 88 = 0. What is h in 15/4*h**4 + 39/4*h**x + 6 - 15*h - 9/2*h**2 = 0?
-2, 2/5, 1
Let p be 71/(-7) + 2*2/28. Let h = p + 78/7. Factor -24/7*u - 2/7*u**4 - 12/7*u**3 - 26/7*u**2 - h.
-2*(u + 1)**2*(u + 2)**2/7
Let o = -46/3389 - -434206/30501. Factor -32/3*s**3 - 2/9*s**5 - 8/3*s**4 - o*s**2 + 0*s + 0.
-2*s**2*(s + 4)**3/9
Let c(o) = -2*o**2 + 21*o - 6. Let q be c(6). Factor -7*v + 4*v**3 - 48 + 5 - 36*v**2 + 31 + q + 3*v.
4*(v - 9)*(v - 1)*(v + 1)
Let c(k) be the third derivative of -k**6/160 + 119*k**5/80 - 235*k**4/32 + 117*k**3/8 - 178*k**2. Factor c(t).
-3*(t - 117)*(t - 1)**2/4
Let m(u) = -6*u - 66. Let i be m(-14). Let s = 132/5 - i. What is d in 147/5 - s*d + 3/5*d**2 = 0?
7
Determine x so that -3/5*x**3 + 432/5 - 354/5*x - 15*x**2 = 0.
-18, -8, 1
Factor -2*t**2 + t**2 + 5*t**2 - 726*t + 402*t + 91 - 755.
4*(t - 83)*(t + 2)
Let t(y) be the first derivative of -3*y**5/5 - 15*y**4 + 48*y**3 + 120*y**2 - 528*y + 2842. Factor t(z).
-3*(z - 2)**2*(z + 2)*(z + 22)
Let j(s) = -90*s - 145. Let z(w) be the third derivative of -w**5/60 - 15*w**4/8 - 12*w**3 - 3*w**2 + 7*w. Let k(o) = -2*j(o) + 5*z(o). What is d in k(d) = 0?
-7, -2
Factor 744200 + 8865*i**2 - 4*i**3 - 376980*i - 2242*i**2 - 4175*i**2.
-4*(i - 305)**2*(i - 2)
Factor 6 - 8*q + 14*q**2 + q**2 + 29*q.
3*(q + 1)*(5*q + 2)
Let j(l) = -15 + 32*l**2 + 36*l + 39*l**2 - 81*l**2 - l. Let x(d) = 11*d**2 - 38*d + 14. Let s(m) = 6*j(m) + 5*x(m). Solve s(i) = 0.
2
Let t = 5319 + -5317. Let z(c) be the second derivative of -1/42*c**4 - 23*c + 0*c**t + 0 + 1/7*c**3. What is b in z(b) = 0?
0, 3
Let a(v) = 2*v**4 - 50*v**3 + 45*v**2 + 3*v + 9. Let u(k) = -3*k**4 + 98*k**3 - 90*k**2 - 5*k - 15. Let f(h) = 5*a(h) + 3*u(h). Find s, given that f(s) = 0.
-45, 0, 1
Suppose -x = 800 - 856. Let m be 8/(-4) - 2/(x/(-60)). Find b such that 0 - 8/7*b - m*b**2 = 0.
-8, 0
Let j(z) be the third derivative of -1/54*z**4 - 1/90*z**5 + 0 + 2/135*z**6 + 0*z**3 + 0*z + 168*z**2 - 1/315*z**7. Solve j(f) = 0 for f.
-1/3, 0, 1, 2
Let f(b) = -310*b**2 + 120320*b - 26770. Let z(i) = 39*i**2 - 15040*i + 3346. Let u(a) = -3*f(a) - 25*z(a). Factor u(y).
-5*(y - 334)*(9*y - 2)
Let b be 28/16*(-1 + -3 + 0). Let f be (-243)/90 - b - 3/(-15). Factor 0*y + 6*y**3 - 3/2*y**2 + 0 - f*y**4.
-3*y**2*(y - 1)*(3*y - 1)/2
Let p(q) be the second derivative of -5*q**4/12 + 2021*q**3/6 - 202*q**2 + 7878*q. Factor p(x).
-(x - 404)*(5*x - 1)
Let c(u) be the third derivative of u**5/120 + 197*u**4/24 + 38809*u**3/12 + 25*u**2 + 42. Factor c(r).
(r + 197)**2/2
Let n = 12157/13912 - -2/1739. Let g(f) be the first derivative of -3/4*f + n*f**2 - 1/6*f**3 + 13. Suppose g(u) = 0. Calculate u.
1/2, 3
Let p(y) = 9*y**3 - 2*y - 1. Let b be p(-1). Let j be (-2*4 + 2)*4/b. Suppose -x**5 + x**5 - 2*x**5 + 16 - 22*x**j - 12*x**4 + 24*x - 4*x**2 = 0. Calculate x.
-2, -1, 1
Let j be 1836/1326 - (-348)/312. Factor -j*m**4 + m**3 + 0 + 1/2*m**5 + 4*m**2 + 0*m.
m**2*(m - 4)*(m - 2)*(m + 1)/2
Let n(c) be the third derivative of c**6/300 + 2*c**5/25 + 29*c**4/60 - 14*c**3/5 + 641*c**2. Factor n(q).
2*(q - 1)*(q + 6)*(q + 7)/5
Let s(i) be the second derivative of -i**4/3 - 7672*i**3/3 - 7357448*i**2 - 10720*i. Determine h, given that s(h) = 0.
-1918
Let k(w) be the second derivative of w**6/50 - 9*w**5/100 - 29*w**4/20 + 15*w**3/2 + 30*w**2 - 1567*w. Determine m so that k(m) = 0.
-5, -1, 4, 5
Let k(i) = i**2 - 4*i + 3. Let s be k(4). Let p be 344/72 - (-4)/18. Suppose 6*d + p*d**s + 0*d**2 + 4*d + 2*d**2 + 13*d**2 = 0. What is d?
-2, -1, 0
Determine m, given that -111*m**4 + 349*m**2 - 174*m**3 - 1104*m - 1107*m + 278*m - 3*m**5 + 478*m + 525 + 869*m**2 = 0.
-35, -5, 1
Suppose 0 + 92/3*r + 1/3*r**2 = 0. What is r?
-92, 0
Factor 384/7*r + 4/7*r**2 - 112.
4*(r - 2)*(r + 98)/7
Let -3559*b + 52 + 2523*b + 2*b**2 - 82*b**2 = 0. What is b?
-13, 1/20
Let h(k) = -758*k + 19711. Let c be h(26). Factor -2/21*n**c - 4/21*n + 10/21*n**2 - 16/21.
-2*(n - 4)*(n - 2)*(n + 1)/21
Let s(h) be the third derivative of h**6/1260 - 13*h**5/30 + 1183*h**4/12 + 43*h**3/6 + h**2 - 3*h. Let o(u) be the first derivative of s(u). Factor o(r).
2*(r - 91)**2/7
Let w(r) be the first derivative of 4*r**5/5 - 2*r**4 - 28*r**3 - 36*r**2 - 11528. Suppose w(i) = 0. What is i?
-3, -1, 0, 6
Let i(k) = 2*k**3 + 6902*k**2 - 2972182*k - 42. Let w(r) = -9*r**3 - 34509*r**2 + 14860909*r + 203. Let j(u) = 29*i(u) + 6*w(u). Let j(q) = 0. Calculate q.
0, 862
Let d(t) = 5*t**2 + t + 3*t + 13*t. Let c = 14 - 7. Let m(w) = -2*w**2 - 6*w. Let b(q) = c*m(q) + 2*d(q). Factor b(p).
-4*p*(p + 2)
Let b(z) be the second derivative of -z**4/32 + 9*z**3/16 - 2136*z. Factor b(t).
-3*t*(t - 9)/8
Let w(v) be the second derivative of -v**7/210 - 31*v**6/50 + 365*v. Factor w(c).
-c**4*(c + 93)/5
Let q(w) be the first derivative of w**6/6 - w**5/2 + 1870. What is b in q(b) = 0?
0, 5/2
Let m(c) be the third derivative of c**5/30 + 757*c**4/6 + 573049*c**3/3 + 12*c**2 + 118. Determine t so that m(t) = 0.
-757
Suppose 0 = 65*c - 3995 + 1200. Let x = c + -43. Determine d, given that x + 4*d + 1/3*d**2 = 0.
-12, 0
Let b(m) = m**2 - m + 2. Let w = -133 + 130. Let p(a) = 6*a**2 + 69*a + 6. Let i(g) = w*b(g) + p(g). Factor i(k).
3*k*(k + 24)
Suppose 7*c - 10 = 4. Factor -10*v**2 + 4*v - 3*v**2 - 5*v**c + 19*v**2.
v*(v + 4)
Let k(t) be the second derivative of -t**6/200 - 3*t**5/100 + t**4/4 + 64*t**2 + 4*t - 11. Let m(b) be the first derivative of k(b). Solve m(f) = 0.
-5, 0, 2
Let j(y) be the first derivative of 16/3*y**3 - 126 + 0*y + 2*y**2. Let j(v) = 0. What is v?
-1/4, 0
Let o(m) be the second derivative of -m**4/12 - 2509*m**3/3 - 6295081*m**2/2 + 8245*m. Solve o(d) = 0 for d.
-2509
Let -28 - 2/7*c**4 - 34/7*c**3 - 186/7*c**2 - 50*c = 0. What is c?
-7, -2, -1
Let l(k) be the third derivative of k**5/450 - 61*k**4/18 + 203*k**3/15 + 3*k**2 - 3*k + 43. Suppose l(x) = 0. What is x?
1, 609
Let m(w) be the third derivative of w**5/90 + 461*w**4/18 + 212521*w**3/9 + 1839*w**2. Factor m(z).
2*(z + 461)**2/3
Suppose -2*c + 1100 = 8*c. Suppose -2*q + 238 = -4*f, -4*q + f = -345 - c. Factor 0*j**2 - 125*j + j**2 - 4*j**2 + q*j.
-3*j*(j + 4)
Solve -1605*a**2 + 1/4*a**3 + 3434700*a - 2450086000 = 0.
2140
Let j(b) be the first derivative of b**3 - 33*b**2 + 63*b - 1833. Solve j(h) = 0 for h.
1, 21
Factor -3411272 - v**2 - 10*v**2 - 10*v**2 - 5224*v - 17*v**2 + 36*v**2.
-2*(v + 1306)**2
Let -5*y**3 - 16256*y + 13775*y + 3321*y**2 - 7*y**3 - 828 = 0. What is y?
-1/4, 1, 276
Let q(s) be the second derivative of s**7/2520 + s**6/240 - s**5/30 - 109*s**4/12 + 63*s. Let a(u) be the third derivative of q(u). Solve a(d) = 0 for d.
-4, 1
Let h(l) be the third derivative of -l**7/525 + l**6/75 + 7*l**5/150 - l**4/6 + 2*l**2 - 158. Factor h(m).
-2*m*(m - 5)*(m - 1)*(m + 2)/5
Let o be (-62)/17 - -3 - (-67 + 60). Let c(a) be the first derivative of -2/17*a**5 - 8 + 189/17*a**2 + 47/34*a**4 - o*a - 6*a**3. Determine u so that c(u) = 0.
2/5, 3
Let n(q) be the third derivative of -1/24*q**