*h + 32/9*i + 0 - 56/9*i**2 = 0.
-1, 0, 2/5, 4
Let g(x) = -x**2 + 31*x + 102. Let f be g(34). Let c = 41/141 + 2/47. Factor c*z**4 + 0*z**2 + f*z + 2/3*z**3 + 0.
z**3*(z + 2)/3
Let b(q) be the third derivative of -q**8/17920 + q**6/1920 + 25*q**4/24 - 14*q**2. Let p(v) be the second derivative of b(v). Factor p(w).
-3*w*(w - 1)*(w + 1)/8
Let u(s) be the first derivative of 2*s**5/75 - 7*s**4/30 + 2*s**3/3 - 13*s**2/15 + 8*s/15 + 44. Determine h, given that u(h) = 0.
1, 4
Suppose r - 5*u + 10 = 0, 2*r - 5*u + 10 = -0*u. Let f(n) be the second derivative of r + 0*n**2 - 1/66*n**4 - 1/33*n**3 + 2*n. Let f(w) = 0. Calculate w.
-1, 0
Let m(q) be the second derivative of -4*q**7/21 + 8*q**6/15 + q**5/2 - 5*q**4/3 - q**3/3 + 2*q**2 + 163*q. Determine n so that m(n) = 0.
-1, -1/2, 1/2, 1, 2
Let y(b) be the third derivative of b**8/336 - 2*b**7/105 - 11*b**6/120 - b**5/10 - 85*b**2. Determine l so that y(l) = 0.
-1, 0, 6
Let d be (4 - 1182/252) + 2/6. Let w = d + 13/14. Let 0*n + 0 + w*n**2 + 6/7*n**3 - 2/7*n**5 + 0*n**4 = 0. Calculate n.
-1, 0, 2
Let o(b) = -b**3 - 5*b**2 + b + 7. Let x be o(-5). Let j be (12/156)/((-4)/(-13)). What is v in -j*v + 3/4*v**3 + 0 - 1/2*v**x = 0?
-1/3, 0, 1
Let t be ((-2)/12)/(45/(-450)). Factor 1/3*z**3 - t*z**2 - 1 + 7/3*z.
(z - 3)*(z - 1)**2/3
Let 21/5*d**2 - 3/5*d**4 + 0 - 12/5*d - 6/5*d**3 = 0. Calculate d.
-4, 0, 1
Let r(j) be the first derivative of 2/3*j**3 + 0*j + 29 - 1/2*j**4 + 0*j**2. Let r(y) = 0. Calculate y.
0, 1
Let c(w) be the second derivative of -1/60*w**5 - 2*w - 1/3*w**3 + 1/2*w**2 + 0 - 1/8*w**4. Let d(a) be the first derivative of c(a). Factor d(g).
-(g + 1)*(g + 2)
Let y = -633/5 - -127. Let n be (7 - 7)/(3 + -2). Determine k so that y*k**2 + n + 4/15*k = 0.
-2/3, 0
Factor -250*x**2 - 45/2*x**4 + 80*x + 0 + 210*x**3.
-5*x*(x - 8)*(3*x - 2)**2/2
Let j be (-6)/(9 + -3 + 3 + -12). Factor 0 + 3/4*y**5 + 0*y**j + 0*y**4 + 3/4*y - 3/2*y**3.
3*y*(y - 1)**2*(y + 1)**2/4
Let a = 54 + -50. Suppose 3*i - 2 = a. Solve 0 + 2/3*h + 7/3*h**4 + 16/3*h**3 + 11/3*h**i = 0.
-1, -2/7, 0
Let c(h) be the third derivative of -1/40*h**4 - h**2 + 1/350*h**7 - 1/30*h**3 - 1/150*h**5 + 1/300*h**6 + 1/1680*h**8 + 0 + 0*h. Factor c(b).
(b - 1)*(b + 1)**4/5
Suppose -k - 2 - 6 = 0. Let l = k + 20. Factor -5*h**2 + 8*h + 3*h**3 + h**2 - l*h.
h*(h - 2)*(3*h + 2)
Let n(q) = 2*q**3 - 3*q**2 + q - 1. Let r be n(2). Suppose 0 = 5*f + r*v + 10 - 30, -2*v = -2*f. Factor 5*x**3 + 4 - 14*x**3 - 26*x**f - 5*x**3 - 6*x + 2*x**2.
-2*(x + 1)**2*(7*x - 2)
Let x(f) be the first derivative of 0*f**2 - 1/18*f**4 - 2 + 4/9*f**3 - 64/9*f. Factor x(a).
-2*(a - 4)**2*(a + 2)/9
Let m(u) be the first derivative of 2*u**5/5 + 30*u**4 - 124*u**3/3 - 60*u**2 + 122*u - 110. Determine w, given that m(w) = 0.
-61, -1, 1
Find v such that -114/11*v**3 + 2/11*v**4 + 30*v**2 + 108/11 - 326/11*v = 0.
1, 54
Let i(o) be the third derivative of -o**8/168 - 4*o**7/35 - 19*o**6/30 - 26*o**5/15 - 11*o**4/4 - 8*o**3/3 + o**2 + 60*o. Factor i(b).
-2*(b + 1)**4*(b + 8)
Suppose -4*l + 7*k + 28 = 5*k, 5*k + 5 = -3*l. Solve 678 - f + 54*f + l*f**2 + 87*f + 302 = 0 for f.
-14
Let u = -3 + -13. Let a be (0 - u/12)*2/12. Solve 8/9*t**3 + a*t**4 - 8/3*t + 2 - 4/9*t**2 = 0.
-3, 1
Solve 4*l - 16 + 345*l**2 + 247*l**2 - 764*l**2 + 264*l**2 - 45*l**3 = 0 for l.
-2/5, 4/9, 2
Suppose -7 = -9*f + 11. Let 2*n**2 + 3*n + f + 6 - 4 + 3*n = 0. Calculate n.
-2, -1
Suppose 0 = -36*r + 10*r - 52. Let a be (r - -2)*(16 - 15). Factor -4/11*j**3 - 2/11 + a*j + 6/11*j**2.
-2*(j - 1)**2*(2*j + 1)/11
Let h(c) = -12*c**3 + 12*c**2 + 24*c + 16. Let p = 11 - 24. Let z = -14 - p. Let f(u) = -u**3 + u + 1. Let g(r) = z*h(r) + 16*f(r). Factor g(x).
-4*x*(x + 1)*(x + 2)
Let o(s) be the third derivative of 1/360*s**5 + 49/36*s**3 + 5*s**2 - 7/72*s**4 + 0 + 0*s. Determine q, given that o(q) = 0.
7
Let d(h) be the first derivative of h**4/54 - 4*h**3/27 + h**2/3 - 6*h + 2. Let z(x) be the first derivative of d(x). Let z(i) = 0. Calculate i.
1, 3
Let n(q) = -8*q**2 + 64*q + 4. Let u be n(8). Let d(x) be the first derivative of 9/4*x**2 + 7/2*x**3 + 2/5*x**5 + 5 + 2*x**u + 0*x. Factor d(z).
z*(z + 1)*(2*z + 3)**2/2
Let a be 10/3*132/110. Solve -12*s**4 + 4*s**3 - 6*s**2 + 9*s**a + 5*s**4 = 0.
-3, 0, 1
Let m(g) be the third derivative of -g**7/84 - g**6/8 - g**5/2 - 5*g**4/6 - 143*g**2. Factor m(t).
-5*t*(t + 2)**3/2
Let t(f) be the first derivative of 1/5*f**3 + 0*f**2 - 24 + 0*f. Factor t(d).
3*d**2/5
Determine z so that -125*z**2 - 84 + 4 + 15*z**4 - 319*z**3 - 10 + 94*z**3 + 20*z**5 + 405*z = 0.
-3, -2, 1/4, 1, 3
Let m(d) be the third derivative of -d**5/330 + d**4/44 + 4*d**3/33 - 14*d**2. Suppose m(r) = 0. Calculate r.
-1, 4
Suppose 0 = -2*j + 6 - 0. What is f in 8*f**5 + 0*f**3 + f**j - 2*f**5 - 7*f**5 = 0?
-1, 0, 1
Factor -6*c**2 + 0 - 4*c - 1/2*c**4 - 3*c**3.
-c*(c + 2)**3/2
Let y(t) be the second derivative of -t**6/15 + t**5/4 - t**4/12 - 5*t**3/6 + 3*t**2/2 + 7*t - 1. Factor y(s).
-(s - 1)**2*(s + 1)*(2*s - 3)
Let x(i) be the second derivative of 0 + 65/12*i**4 - 3/2*i**5 - 7*i + 1/6*i**6 + 10*i**2 - 10*i**3. Factor x(m).
5*(m - 2)**2*(m - 1)**2
Let m = 286/67 + -615495/871. Let q = 703 + m. What is o in q*o + 8/13 + 2/13*o**2 = 0?
-2
Let z(v) be the first derivative of -v**5/300 - 4*v**2 - 15. Let c(b) be the second derivative of z(b). Factor c(t).
-t**2/5
Let b(n) be the second derivative of -11*n**8/16800 + 2*n**7/525 - n**6/450 - n**4/6 + 40*n. Let x(h) be the third derivative of b(h). Factor x(a).
-2*a*(a - 2)*(11*a - 2)/5
Let f be (-37)/(-12) - (5 - 11 - -9). Let h(m) be the second derivative of 0*m**2 + 0 + 5*m + 0*m**3 + f*m**4. Let h(i) = 0. Calculate i.
0
Find s such that -1/4*s**3 + 3/4*s**2 - 3/4 + 1/4*s = 0.
-1, 1, 3
Let n be (-2944)/700 + (-4)/(-14) - -4. Let p(q) be the first derivative of -2/5*q - 2/5*q**2 + 0*q**3 + 1/5*q**4 + n*q**5 + 6. Determine m so that p(m) = 0.
-1, 1
Let i(p) be the first derivative of -p**5/40 - p**4/32 + p**3/12 + 57. Suppose i(v) = 0. What is v?
-2, 0, 1
Let f(v) be the first derivative of 4*v**5/15 + 2*v**4/3 - 32*v**3/9 - 12*v**2 - 12*v - 71. Suppose f(s) = 0. What is s?
-3, -1, 3
Let g(v) be the third derivative of -v**8/3360 - v**7/350 - v**6/200 + v**5/30 + 13*v**4/80 + 3*v**3/10 - 140*v**2 - 2. Let g(i) = 0. Calculate i.
-3, -1, 2
Let b be -1 + (0 - -15 - -1). Let -21*w - 4*w**3 - b*w + 36*w + 4*w**5 = 0. What is w?
-1, 0, 1
Let w = -17146 + 17149. Factor 100/3*l**4 + 16/3*l + 20/3*l**w + 0 - 64/3*l**2.
4*l*(l + 1)*(5*l - 2)**2/3
Suppose 4*h - 5*h + 18 = -4*q, 12 = -3*q. What is y in 3/2*y**h + 0*y - 6 = 0?
-2, 2
Let z(y) be the third derivative of y**5/270 + 49*y**4/18 + 2401*y**3/3 + 495*y**2. Factor z(d).
2*(d + 147)**2/9
Let g(x) be the third derivative of x**5/480 - 3*x**4/64 - 13*x**3/12 + 252*x**2. Factor g(q).
(q - 13)*(q + 4)/8
Let q = 152 - 146. Let w(z) be the second derivative of 0*z**3 - q*z + 0 - 1/12*z**4 + 0*z**2 - 1/20*z**5. Suppose w(u) = 0. Calculate u.
-1, 0
Let g = 5747/15 + -1126/3. Factor 36/5*d + 12/5 + g*d**2 + 18/5*d**3 + 3/5*d**4.
3*(d + 1)**2*(d + 2)**2/5
Let r be (-2 + (-24)/(-9))/((-10)/(-105)). Suppose 9*w + r*w = 0. Factor w + 2/3*c**3 + 8/3*c - 8/3*c**2.
2*c*(c - 2)**2/3
Suppose -d = 3*x - 15, 3*d = 2*d - 2*x + 11. Let -2*b**d + 165*b - 165*b - 3*b**2 + b**4 = 0. Calculate b.
-1, 0, 3
Let m be (-15)/10*2238/18. Let z = -186 - m. Factor 0 + 2*w**4 + 0*w + z*w**2 - 5/2*w**3.
w**2*(w - 1)*(4*w - 1)/2
Suppose 72*h - 77*h + 45 = 0. Factor 104*u**4 - 6*u - 9*u**3 - 17*u**4 + h*u**5 - 36*u**5 + 45*u**2 - 90*u**3.
-3*u*(u - 1)**3*(9*u - 2)
Let r(c) be the third derivative of c**7/1155 - 4*c**6/165 - c**5/6 - 19*c**4/66 + 302*c**2. Determine j, given that r(j) = 0.
-2, -1, 0, 19
Let v be (-6)/30 + (-2)/(-10). Suppose v = -4*d + 337 + 555. Suppose 128*n - d*n**2 + 122*n**2 - 207*n**2 + 196*n**3 + 3 - 19 = 0. What is n?
2/7, 1
Suppose -2*u - 16*u = -54. Let j(t) be the third derivative of -1/480*t**6 - 1/12*t**u + 0 - 1/60*t**5 - 5*t**2 + 0*t - 5/96*t**4. Factor j(x).
-(x + 1)**2*(x + 2)/4
Let z(x) = -7*x**2 + 17*x - 9. Let k(j) = -j**2 + j - 1. Let p(r) = 5*k(r) - z(r). Let q(m) = -m**2 + 11*m - 3. Let i(w) = -3*p(w) - 4*q(w). Factor i(n).
-2*n*(n + 4)
Let a(q) = -q**3 + 10*q**2 - 15*q + 3. Let d be a(7). Factor -3*u**3 - 