d derivative of v**4/60 - 667*v**3/15 + 444889*v**2/10 + 1347*v. Solve f(w) = 0 for w.
667
Suppose 45*u - 155 = 14*u. Suppose u*l + 4*h = -2, 35 = l - 5*h + 18. Determine j so that 4/19 + 6/19*j + 2/19*j**l = 0.
-2, -1
Let k(q) be the first derivative of 4*q**3/51 + 1563*q**2/17 + 1562*q/17 + 3876. Factor k(w).
2*(w + 781)*(2*w + 1)/17
Factor 0 + 3/2*b**2 - 531/2*b.
3*b*(b - 177)/2
Let c(y) be the second derivative of y**7/14 + 3*y**6 + 369*y**5/10 + 187*y**4 + 873*y**3/2 + 513*y**2 + 4288*y. Suppose c(w) = 0. Calculate w.
-19, -6, -3, -1
Let m(o) be the third derivative of 3*o**7/245 - 697*o**6/70 + 487201*o**5/210 - 80852*o**4/21 + 53824*o**3/21 - 29*o**2 - 4*o. Find p, given that m(p) = 0.
1/3, 232
Let n be ((-10)/(-160)*-12)/((-6)/16). Let z(r) = 25*r**2 + 82*r + 66. Let a(l) = 50*l**2 + 165*l + 133. Let m(i) = n*a(i) - 5*z(i). Factor m(v).
-(5*v + 8)**2
Let p(v) be the third derivative of v**9/20160 - v**8/1680 + v**7/560 - 6*v**5/5 - v**2 + 103*v. Let i(b) be the third derivative of p(b). Solve i(c) = 0 for c.
0, 1, 3
Let s(k) be the first derivative of -2*k**3/21 - 76*k**2/7 - 296*k/7 - 211. Factor s(w).
-2*(w + 2)*(w + 74)/7
Factor -7 - 29/2*k - 11/2*k**2.
-(k + 2)*(11*k + 7)/2
Let f = 5519/52 - 25723/260. Factor -f*x - 1/5*x**2 + 0.
-x*(x + 36)/5
Let m = 67 - 113. Let o = 49 + m. Factor -31*a + 21*a + 16*a**3 + 24*a**o + 15*a**4 + 15*a**2.
5*a*(a + 1)*(a + 2)*(3*a - 1)
Find f, given that 12/7*f**4 - 5/7*f**3 + 9/7*f - 3*f**2 + 5/7 = 0.
-5/4, -1/3, 1
Let q(g) = 55*g**3 - 45*g**2 - 10*g - 3. Let v(z) = -166*z**3 + 138*z**2 + 28*z + 10. Let f(r) = 10*q(r) + 3*v(r). Factor f(s).
4*s*(s - 1)*(13*s + 4)
Let z(d) be the first derivative of d**4/2 - 116*d**3/3 - 512*d**2 - 2112*d + 6401. Factor z(o).
2*(o - 66)*(o + 4)**2
Let p = 123114/25 + -245603/50. Let -1/2*v**4 - 27/2*v - 9/2*v**3 - 5 - p*v**2 = 0. What is v?
-5, -2, -1
Factor 121 + 1098*x + 504974*x**2 + 892 + 87 - 504976*x**2.
-2*(x - 550)*(x + 1)
Let z(p) be the third derivative of p**7/4200 - p**6/1200 + 3*p**4 + 9*p**2 + 4. Let l(c) be the second derivative of z(c). Suppose l(w) = 0. What is w?
0, 1
Determine h, given that 0 + 15*h + 2*h**3 - 1/6*h**4 + 103/6*h**2 = 0.
-5, -1, 0, 18
Suppose -3*t = -3*s + 6, t + 8*s - 4*s = 18. Find g, given that g**4 - 247 + 8*g + 11*g**t - 15*g**2 + 245 - 8*g**3 + 5*g**4 = 0.
-1, 1/3, 1
Suppose 0 = 3*u - 0*r + r + 46, 3*u = 4*r - 41. Let t = u + 20. Factor -2*l**3 - 3*l**2 - l**2 + t*l**3 + 10*l**2.
3*l**2*(l + 2)
Let b(u) be the first derivative of -u**5/20 - 3*u**4/8 - 23*u**2 + 9. Let d(v) be the second derivative of b(v). What is g in d(g) = 0?
-3, 0
Let a be 3/((-120)/50) - (1389901/(-9780) + 6/10). Find x, given that -138338/15*x**2 - 8/15 - a*x = 0.
-2/263
Let n = 16 + -10. Suppose -5*x + n = -i, -x - 6 = -3*i + 4. Factor 4*t**3 - i + 8*t**2 - t - 3*t - 4 + 0.
4*(t - 1)*(t + 1)*(t + 2)
Let s(x) = -x**4 + 2*x**2 - x - 17. Let p(q) = 38*q**4 + 50*q**3 - 111*q**2 - 217*q - 49. Let b(i) = -p(i) - 3*s(i). Let b(v) = 0. Calculate v.
-10/7, -1, 2
Let z(q) be the third derivative of q**6/420 - 71*q**5/70 + 880*q**4/7 + 12100*q**3/3 + 2606*q**2. Factor z(s).
2*(s - 110)**2*(s + 7)/7
Let y(a) be the second derivative of a**7/504 - a**6/16 - 5*a**5/12 - 2*a**4/3 + 5*a**3/6 - 6*a - 4. Let b(q) be the third derivative of y(q). Factor b(v).
5*(v - 10)*(v + 1)
Let p be (-44)/(-6)*(-54)/(-36). Let q(v) be the third derivative of p*v**2 + 0*v + 0 + 1/10*v**4 + 0*v**3 + 1/50*v**5. Solve q(i) = 0 for i.
-2, 0
Factor -18*k - 47*k**2 + 99*k**2 + 28 - 9*k - 48*k**2 - 5*k.
4*(k - 7)*(k - 1)
Let y(d) = d**3 + d**2. Let u(h) = 30*h**4 + 22*h**3 - 8*h**2. Suppose -3*k + k = -12. Suppose -16*f = -k*f + 30. Let p(j) = f*y(j) - u(j). Factor p(x).
-5*x**2*(x + 1)*(6*x - 1)
Suppose -2/17*n**4 - 8/17*n**3 + 56/17*n + 30/17 + 20/17*n**2 = 0. What is n?
-5, -1, 3
Let v(x) be the second derivative of x**6/10 + 21*x**5/4 - 37*x**4/2 + 2*x + 1697. Factor v(j).
3*j**2*(j - 2)*(j + 37)
Let m(a) be the third derivative of 75*a**8/56 - 61*a**7/21 - 149*a**6/60 + 103*a**5/10 - 19*a**4/3 - 4*a**3/3 + 1054*a**2. Solve m(f) = 0.
-1, -2/45, 2/5, 1
Let p(x) = -112*x - 1785. Let h be p(-16). Let w(b) be the third derivative of 1/15*b**3 - 13/120*b**4 + 1/15*b**5 - 3/200*b**6 + 0 + 0*b - h*b**2. Factor w(z).
-(z - 1)**2*(9*z - 2)/5
Let q(z) be the first derivative of 5*z**4/4 - 10*z**3 - 40*z**2 + 1305. Factor q(b).
5*b*(b - 8)*(b + 2)
Let g(v) be the first derivative of 2/5*v**5 - 70 - 12*v - 3/2*v**4 - 17*v**2 - 10*v**3. Factor g(p).
2*(p - 6)*(p + 1)**3
Let u(l) be the third derivative of -l**6/40 - 61*l**5/20 - 231*l**4/8 - 171*l**3/2 - l**2 + 348*l - 2. Factor u(g).
-3*(g + 1)*(g + 3)*(g + 57)
Let h(x) = 11*x**3 - 3*x**2 + 22*x - 6. Let z(d) = 13*d**3 - 2*d**2 + 24*d - 7. Let c(r) = -7*h(r) + 6*z(r). Solve c(j) = 0 for j.
-10, 0, 1
Suppose -5*f - 3*i = -1363, 2*f + i = 409 + 137. Factor -j**5 + 27*j**3 - 7*j**4 + 10*j + f - 29*j**2 + 271 - 546.
-j*(j - 1)**3*(j + 10)
Let j(t) be the third derivative of -2*t**7/735 + 23*t**6/420 + 2*t**5/5 - 47*t**4/21 - 16*t**3/3 - 2*t**2 + 942*t. Let j(a) = 0. What is a?
-4, -1/2, 2, 14
Let p be (4/8)/(39/12 - 3). Suppose 9 = q + p*q, -i + 41 = 3*q. Solve 2*s + i - 32 + 6*s**4 - 6*s**2 - 2*s**3 = 0 for s.
-1, 0, 1/3, 1
Let i(o) be the second derivative of o**7/1120 - o**6/160 + o**4/8 - 13*o**3/3 - o**2/2 - 75*o. Let k(p) be the second derivative of i(p). Factor k(f).
3*(f - 2)**2*(f + 1)/4
Let o be ((-548)/685)/((-19)/15 + 1). Let u(t) be the second derivative of 0*t**2 - 7*t + 1/21*t**o + 0 - 1/35*t**5 - 1/42*t**4. Factor u(c).
-2*c*(c + 1)*(2*c - 1)/7
Factor -4840/17 + 78/17*w**2 - 2/17*w**3 - 528/17*w.
-2*(w - 22)**2*(w + 5)/17
Let y(u) be the third derivative of 0*u**4 + 2/105*u**5 + 0 + 50*u**2 + 1/147*u**7 - 2/105*u**6 - 2*u + 0*u**3 - 1/1176*u**8. Factor y(n).
-2*n**2*(n - 2)**2*(n - 1)/7
Let t(r) be the third derivative of r**8/273 - 178*r**7/455 + 2341*r**6/780 + 478*r**5/195 - 539*r**4/52 + 310*r**3/39 + 335*r**2. Let t(a) = 0. What is a?
-1, 1/4, 1/2, 5, 62
Let u(i) = 5*i**2 - 1632*i - 1086. Let w(b) = 21*b**2 - 6523*b - 4339. Let o(a) = 9*u(a) - 2*w(a). Find z, given that o(z) = 0.
-2/3, 548
Let o be (-594)/126 + 2 - (-2 - 15/3). Factor 38/7*f**2 - o + 8/7*f**3 - 16/7*f.
2*(f - 1)*(f + 5)*(4*f + 3)/7
Let m(n) = -2*n**3 - 4*n - 6. Let p(y) = -7*y**3 - 17*y**2 + 30*y + 144. Let a(k) = -4*m(k) + p(k). Determine u so that a(u) = 0.
-2, 7, 12
Let p(y) = 24*y + 120. Let f be p(-5). Factor -10*z**2 + 5*z**3 - 9*z - z + 5*z**2 + f*z**3.
5*z*(z - 2)*(z + 1)
Suppose 63385 = 311*b - 310*b. What is y in 2*y + b - 63385 + y**2 = 0?
-2, 0
Suppose -3*t = -u - 11, -2*t - 5*u - 23 = -t. Factor -1 - 3 - t*a**3 + 4 + 74*a**2 - 68*a**2.
-2*a**2*(a - 3)
Let b(v) be the second derivative of 7*v**4/12 - 23*v**3/8 + 41*v**2/8 + 4991*v. Determine k so that b(k) = 0.
1, 41/28
Let p(b) be the second derivative of -11*b**4/12 + b**3/6 + 6*b**2 - 279*b - 1. Factor p(v).
-(v + 1)*(11*v - 12)
Let n(m) be the third derivative of m**6/120 - m**5/30 - m**4/12 - 3*m**2. Let x be n(3). Factor -1 + 2*h**2 + h**5 + 8*h - 7*h - 2*h**3 - x*h**4 + 2*h**4.
(h - 1)**3*(h + 1)**2
Factor -4/3*k**3 + 0*k + 0 + 0*k**2 + 10*k**4.
2*k**3*(15*k - 2)/3
Let f(s) be the first derivative of -23*s**4/12 + 412*s**3/9 - 355*s**2/6 - 34*s/3 - 113. Determine u so that f(u) = 0.
-2/23, 1, 17
Let u(a) be the third derivative of a**5/345 - 55*a**4/276 + 9*a**3/23 + 723*a**2. Factor u(n).
2*(n - 27)*(2*n - 1)/23
Let m(c) = 2*c - 22 + 3*c - 21*c**2 - c + 23*c**2. Let x(o) = 3*o**2 + 10*o - 43. Let g(n) = -11*m(n) + 6*x(n). Factor g(q).
-4*(q - 2)**2
Let c(y) = 5*y**2 - 11*y + 6. Let g(l) = -l**2 + 7*l + 23. Let f be g(10). Let m(k) = 6*k**2 - 13*k + 7. Let n(b) = f*c(b) + 6*m(b). Factor n(u).
u*(u - 1)
Suppose -14 = -2*z, 3*h - 3*z = 12*h + 19*h - 21. Solve -3/8*d**2 + h*d + 0 = 0.
0
Let c(j) be the second derivative of -j**4/36 + 16*j**3/3 - 184*j**2/3 + 178*j. Find m, given that c(m) = 0.
4, 92
Find p such that 27/8*p**2 - 15/2 + 3/8*p**3 - 9/2*p = 0.
-10, -1, 2
Let v be -3 + 10 - (-1630)/(-240). Let r(q) be the third derivative of -11*q**2 - 1/12*q**5 - v*q**4 + 0*q + 0*q**3 + 0. Determine p so that r(p) = 0.
-1, 0
Suppose -262/7*a**2 + 510/7*a + 774/7 + 2/7*a**3 = 0. What is a?
-1, 3, 129
F