 the second derivative of 0 - 5/18*h**4 + 2/3*h**2 + 8*h - 1/3*h**3. Solve t(j) = 0 for j.
-1, 2/5
Let l = 664/5 + -132. Let v be (15/((-900)/16))/((-3)/36). Solve -16/5*i**2 - v*i - l = 0.
-1/2
Suppose -6*o + 31 = 283. Let w = 46 + o. Suppose 8/17*n + 52/17*n**3 - 8/17 + 14/17*n**w + 54/17*n**2 = 0. Calculate n.
-2, -1, 2/7
Factor -13*b + 50*b - 48 + 14*b - 3*b**2.
-3*(b - 16)*(b - 1)
Let q = 1632/23 - 2103602/29647. Let x = 10290/14179 + q. Factor 0*j + 2/11*j**5 + 0 + 0*j**2 + x*j**3 - 8/11*j**4.
2*j**3*(j - 2)**2/11
Let l(x) = 2*x**5 - 94*x**4 + 1452*x**3 - 6656*x**2 - 8180*x - 12. Let v(a) = -a**3 - a + 1. Let z(f) = -l(f) - 12*v(f). What is y in z(y) = 0?
-1, 0, 16
Let o(k) be the second derivative of k**8/840 + k**7/210 + k**6/180 - k**3 - 6*k. Let y(n) be the second derivative of o(n). Let y(d) = 0. What is d?
-1, 0
Let x(g) be the second derivative of -1/90*g**5 + 2/9*g**2 + 1/27*g**3 + 7*g + 0 - 1/27*g**4. Let x(z) = 0. What is z?
-2, -1, 1
Factor -1/7*n**2 - 3600/7 + 120/7*n.
-(n - 60)**2/7
Let s(b) be the first derivative of -2*b**5/5 - 15*b**4/4 - 16*b**3/3 + 6*b**2 + 35. Factor s(f).
-f*(f + 2)*(f + 6)*(2*f - 1)
Let l(n) = 6*n**3 - n**2 + 4*n + 6. Let y be 0 + (2 - (1 - 4)). Let o(w) = w**3 + w + 1. Let r(x) = y*o(x) - l(x). Solve r(b) = 0.
-1, 1
Let 0 - 4*p**3 + 22/5*p**2 - 2/5*p**4 + 0*p = 0. What is p?
-11, 0, 1
Factor -13/4*y - 7/2 + 1/4*y**2.
(y - 14)*(y + 1)/4
Let d(i) = 9*i**2 - 4*i - 8. Let x(z) = -22*z**2 + 10*z + 20. Suppose 0 = -36*n + 31*n - 25. Let s(r) = n*x(r) - 12*d(r). Factor s(a).
2*(a - 2)*(a + 1)
Let q be (1/2)/(((-35)/40)/(-7)). Suppose -10 = 2*z - q, 0 = -4*l + z + 195. Find h such that -24*h + l*h**2 - 36*h**3 - 3/2*h**5 + 12*h**4 + 0 = 0.
0, 2
Let a be 24/6*(-75)/(-60). Let u(s) be the second derivative of -4*s - 7/150*s**6 + 0 - 11/60*s**4 + 0*s**2 - 4/25*s**a - 1/15*s**3. Factor u(w).
-w*(w + 1)**2*(7*w + 2)/5
Let -3*r**2 + 0 + 8/7*r**3 - 1/7*r**4 + 18/7*r = 0. What is r?
0, 2, 3
Let y(f) be the second derivative of -2 + 3*f + 12/5*f**2 + 6/5*f**3 + 3/100*f**5 + 3/10*f**4. What is c in y(c) = 0?
-2
Let x(c) = 2 - 3 - c + 3*c - c. Let w be x(5). Determine o so that o**2 + 2*o**4 - o**w + 0*o**2 - 2*o**3 = 0.
0, 1
Let m(f) be the first derivative of -3*f - 3/4*f**4 - 28 - 1/2*f**2 + 3*f**3 - 2/5*f**5. Factor m(k).
-(k - 1)**2*(k + 3)*(2*k + 1)
Suppose 3*l + 573 = -7*f + 567, 0 = 3*f + 5*l + 36. What is z in 12/7*z**2 - 12/7*z + 0 - 3/7*z**f = 0?
0, 2
Let f(t) be the second derivative of 54*t**7/35 - 6*t**6/5 + 4*t**5/15 - 5*t**2/2 - 7*t. Let a(v) be the first derivative of f(v). Factor a(l).
4*l**2*(9*l - 2)**2
Suppose 5 = 7*i - 6*i. Factor c**5 - 23*c**5 - 23*c**i + 30*c**4 - 5*c**3.
-5*c**3*(3*c - 1)**2
Let p(z) be the first derivative of -z**5/100 + z**3/10 - z**2/5 - 4*z + 19. Let a(r) be the first derivative of p(r). Suppose a(k) = 0. What is k?
-2, 1
Let f(q) = -q - 1. Let b(a) = 3*a**3 - 2*a**2 + 2*a - 1. Let s be b(1). Let n(t) = 0 - 3 + 3 - t**s + 2 + t. Let d(x) = 2*f(x) + n(x). Factor d(r).
-r*(r + 1)
Determine o so that -3/5*o**5 + 3*o**3 - 6*o**2 + 6/5*o**4 + 24/5 - 12/5*o = 0.
-2, -1, 1, 2
Let m(t) = 8*t**2 - 14. Let y(s) be the second derivative of 5*s**4/4 + s**3/3 - 14*s**2 - 46*s. Let n(l) = -11*m(l) + 6*y(l). Factor n(o).
2*(o - 1)*(o + 7)
Let h(q) be the second derivative of 0 + 11*q + 5*q**2 - 5/12*q**4 - 5/6*q**3. Factor h(n).
-5*(n - 1)*(n + 2)
Factor -241*h**5 - 4*h**3 + 124*h**5 + 115*h**5 + 6*h**4.
-2*h**3*(h - 2)*(h - 1)
Let t = 12358 - 12358. Factor -2/3*f**4 + 0*f + 0 - 4/3*f**3 + t*f**2.
-2*f**3*(f + 2)/3
Let p be 4 + -6 + (-3)/(-120)*82. Let d(v) be the third derivative of 0 + 0*v + 1/2*v**3 + p*v**5 + 1/4*v**4 - 9*v**2. Factor d(o).
3*(o + 1)**2
Let r = 3630 - 3627. Factor 16/5 + 2*g**r - 12/5*g**2 - 2/5*g**4 - 8/5*g.
-2*(g - 2)**3*(g + 1)/5
Let v be 11 - (-6)/(-3) - 1. Suppose 4*y - 5*c + c = v, 5*y - 24 = -2*c. Factor -6*z**3 - 2*z - z**2 - 2*z**y - 5*z**2 + 0*z**3.
-2*z*(z + 1)**3
Suppose -2*t = 2*y + 10, 0 = -0*y - 4*y + 4*t - 44. Let l be y/(-6)*(-3 - -4). Factor -2*n**3 + 4/3*n**2 + l*n**4 + 0 - 1/3*n - 1/3*n**5.
-n*(n - 1)**4/3
Factor -2*x**5 + 2*x**4 - 6*x**3 + 19*x**2 + 2*x**5 - 4*x - 29*x**2 + 2*x**5.
2*x*(x - 2)*(x + 1)**3
Let u(i) = 121*i + 1. Let j be u(2). Suppose 0 = -3*s - 0 + j. Determine y so that 6*y**3 + 81 - 3*y**4 - 3*y**2 - s = 0.
0, 1
Let b(j) be the third derivative of -j**5/20 - 9*j**4/4 - 17*j**3/2 - 310*j**2. Let b(o) = 0. Calculate o.
-17, -1
Suppose 4*f = 5*f - 11. What is s in -2*s**3 + 2*s + 13*s**2 - f*s**2 - 2*s**2 = 0?
-1, 0, 1
Suppose 45*a - 594 = -504. Factor 10/3 + 2/3*k**a - 4*k.
2*(k - 5)*(k - 1)/3
Let v = 215 + -210. Let l(q) be the first derivative of -v + 1/2*q**4 - 3*q**2 + 0*q**3 + 4*q. Factor l(r).
2*(r - 1)**2*(r + 2)
Let w(j) be the second derivative of -j**5/100 - 37*j**4/60 + 59*j**3/15 - 8*j**2 - 293*j. Factor w(m).
-(m - 2)*(m - 1)*(m + 40)/5
Suppose n = 13*n. Let j be (-91)/(-14) - (0 - 0 - n). Solve -j*v**4 - 1/2 - 9*v**2 - 11*v**3 - 3/2*v**5 - 7/2*v = 0.
-1, -1/3
Suppose -12 = -3*o + 2*c, 4*o + 158*c - 156*c - 2 = 0. Let p be 1/2 - (-2 + 2). Factor 1/4*v**o - p + 1/4*v.
(v - 1)*(v + 2)/4
Factor 3/5*z**2 + 1452/5 - 132/5*z.
3*(z - 22)**2/5
Let i(c) = -4*c**3 - 34*c**2 - 92*c - 53. Let t(x) = -12*x**3 - 104*x**2 - 276*x - 160. Let k(f) = -8*i(f) + 3*t(f). Factor k(b).
-4*(b + 1)*(b + 2)*(b + 7)
Find m, given that -82*m**2 - 39*m**2 - 24 - 104*m**3 + 85*m + 55*m - 36*m**5 - 7*m**2 + 152*m**4 = 0.
-1, 2/9, 1, 3
Let k(l) be the second derivative of l**7/168 - 13*l**6/12 + 627*l**5/8 - 5445*l**4/2 + 299475*l**3/8 + 1185921*l**2/4 - 294*l. Suppose k(y) = 0. What is y?
-2, 33
Let n(j) be the first derivative of -j**7/210 + j**6/15 - 2*j**5/5 + 4*j**4/3 - 4*j**3 - 5. Let r(d) be the third derivative of n(d). What is u in r(u) = 0?
2
Let a(z) be the third derivative of -z**6/1080 + z**5/40 - 7*z**4/36 - 8*z**3/3 + 12*z**2. Let d(s) be the first derivative of a(s). Factor d(k).
-(k - 7)*(k - 2)/3
Let a(f) = 14*f**2 - 2*f. Let h be a(-1). Determine r so that 8*r**2 - 3*r**2 + 3 - h*r + 17 - 4*r = 0.
2
Let r(p) = -3*p**3 - p**2 + 1. Let s be r(-1). Let u(h) = -h**3 + 4*h**2 - h - 4. Let c be u(s). Factor l**3 - 7*l**c + l**3 + l**2.
2*l**2*(l - 3)
Let c(i) be the first derivative of 27 + 33/5*i**2 - 363/5*i - 1/5*i**3. What is f in c(f) = 0?
11
Factor -96*v + 26*v**3 + 5*v**2 - 45*v**2 - 3*v**3 - 27*v**3 + 0*v**3.
-4*v*(v + 4)*(v + 6)
Suppose 8/3 + 2/3*y**3 - 2/3*y**2 - 8/3*y = 0. What is y?
-2, 1, 2
Let l(w) = w**2 - w - 1. Let a(y) be the first derivative of -2*y**3 + 4*y**2 + 5*y - 22. Let o(i) = 5*a(i) + 35*l(i). Factor o(t).
5*(t - 1)*(t + 2)
Let u = 12 - 9. Suppose -k + 24 = 5*q, 4*k - k - 24 = -u*q. Determine i so that 8*i + i - 3*i + 2 + 10*i**2 + 2*i + k*i**3 = 0.
-1, -1/2
Factor 12 - 8 + 5*s**3 - 13 - 11 + 15*s**2.
5*(s - 1)*(s + 2)**2
Find f such that 0 + 1/8*f**2 - 25/8*f = 0.
0, 25
Suppose 69 = -31*c + 54*c. Suppose -3*l = -4*l + 1. Factor l - 1/2*m**c - 3/2*m**2 + 1/2*m**4 + 1/2*m.
(m - 2)*(m - 1)*(m + 1)**2/2
Let v(z) = -2*z - 14. Let o be v(-8). Suppose 0 = o*c - 9 + 5. Determine f so that 24 - 286*f**3 - 354*f**3 + 714*f**c - 228*f - 95*f**3 = 0.
2/7, 2/5
Let k(r) be the second derivative of 7*r**6 + 5*r**5/4 - 5*r**4/6 + 20*r - 1. Solve k(x) = 0.
-2/7, 0, 1/6
Let c(v) be the third derivative of v**7/630 - v**6/30 - 7*v**5/30 - 29*v**4/24 + 26*v**2. Let i(m) be the second derivative of c(m). Factor i(f).
4*(f - 7)*(f + 1)
Let v = -25489/550 + 510/11. Let o(a) be the second derivative of v*a**6 + 1/2*a**3 + 3*a - 3/20*a**4 - 3/5*a**2 + 0 - 3/100*a**5. Factor o(p).
3*(p - 1)**3*(p + 2)/5
Let r(i) be the second derivative of -i**5/40 + i**4/24 + 14*i**3/3 + 36*i**2 + 3*i + 84. Factor r(t).
-(t - 9)*(t + 4)**2/2
Let u(d) be the third derivative of -1/156*d**4 + 0*d**3 + 0*d + 0 + 1/130*d**5 - 4*d**2 - 1/260*d**6 + 1/1365*d**7. Determine j so that u(j) = 0.
0, 1
Let k(x) be the first derivative of 4*x**3/15 + 82. Factor k(h).
4*h**2/5
Let c(p) = -p**2 + 778*p + 3131. Let a be c(-4). Determine b so that -16/7*b**a - 1/7*b**4 - 16*b - 78/7*b**2 - 7 = 0.
-7, -1
Let -7/6*g + 7/6*g**3 + 2/3 - 1/2*g**4 - 1/6*g**2 = 0. What is g?
-1, 1, 4/3
Let q be (-224)/(-96) - -2*1 - 1. Factor -2/3*g**3 + q*g**2 - 14/3*g + 2.
-2*(g - 3)