 1647 - 1087. Let q be (-100)/h - (-9)/12. Determine j so that 6/7*j + 0*j**2 - 2/7*j**3 - q = 0.
-2, 1
Let g(p) = -21*p**2 + 467*p - 434. Let u(x) = -26*x**2 + 475*x - 434. Let t(i) = 5*g(i) - 4*u(i). Factor t(a).
-(a - 434)*(a - 1)
Let w be ((-1400)/(-60))/((-8)/(-6)). Let h(r) be the first derivative of -18 - w*r**2 - 55/4*r**4 - 100/3*r**3 + 10*r. Factor h(y).
-5*(y + 1)**2*(11*y - 2)
Suppose 917*q - 2700 + 990 - 784 = -330*q. Factor 1/2 - q*x + 2*x**2.
(2*x - 1)**2/2
Determine j so that -114/7*j**2 + 234/7*j - 2/7*j**3 - 118/7 = 0.
-59, 1
Let y(a) = -12*a + 386. Let b be y(32). Let c(u) be the first derivative of -6*u**3 - 6 - 4/5*u**4 - 25*u - 20*u**b - 1/25*u**5. Let c(h) = 0. Calculate h.
-5, -1
Let v(g) be the second derivative of -g**4/48 - 17*g**3/12 - 30*g**2 + 191*g. Factor v(c).
-(c + 10)*(c + 24)/4
Let z(q) be the first derivative of q**3/9 - 678*q**2 + 1379052*q - 5779. Solve z(l) = 0 for l.
2034
Let a(s) be the third derivative of -s**5/90 - 31*s**4/18 + 7*s**3 + 68*s**2 + 3*s. Solve a(y) = 0.
-63, 1
Let i(m) = -39*m + 39. Let t be i(1). Let d(u) be the first derivative of 6 + 0*u**2 + t*u**3 - 12/5*u**5 - 2*u**4 + 0*u. Factor d(o).
-4*o**3*(3*o + 2)
Let l = 5166894 - 5166894. Let z = 9/44 - -1/22. Factor -y**3 + l*y + y**2 + z*y**4 + 0.
y**2*(y - 2)**2/4
Determine y so that 64/3 - 100/9*y + 2/9*y**3 - 94/9*y**2 = 0.
-2, 1, 48
Let j be (-42)/(-8) - (-2 + (-741)/(-52) + -10). Determine o so that 0 + 3/4*o**j - 18*o**2 + 108*o = 0.
0, 12
Let o(j) be the third derivative of -1/2*j**4 + 1/20*j**5 - 63*j**2 + 0*j + 0 + 3/2*j**3. Factor o(z).
3*(z - 3)*(z - 1)
Let n(s) be the first derivative of -2*s**5/55 - 19*s**4/11 - 952*s**3/33 - 1960*s**2/11 - 1052. Suppose n(l) = 0. What is l?
-14, -10, 0
Let v(w) = -2*w**3 + 66*w**2 + 5*w - 154. Let l be v(33). Let a be (-2568)/(-214) + (-120)/l. Factor -2/11*j**3 - 24/11*j - 16/11 - a*j**2.
-2*(j + 2)**3/11
Let p(m) be the second derivative of 14*m**2 - 50*m - 1/5*m**5 - 10*m**3 + 3*m**4 + 1. Factor p(n).
-4*(n - 7)*(n - 1)**2
Let c be (-3)/(273/14)*-13. Factor -15 + 24 - 12 - 7 - w**3 - 3*w + 6*w**c.
-(w - 5)*(w - 2)*(w + 1)
Let d(a) be the third derivative of a**7/350 + a**6/20 + 37*a**5/100 + 3*a**4/2 + 18*a**3/5 - 49*a**2 + 5. Find k such that d(k) = 0.
-3, -2
Let w be 205/15*222/(-296) - -12. Factor 9/2*a**2 + 2 + w*a**3 + 5*a + 1/4*a**4.
(a + 1)*(a + 2)**3/4
What is b in 428*b**2 - 1295*b**2 + 457*b**2 - 3*b**3 - 80 + 29 + 461*b**2 + 3*b = 0?
-1, 1, 17
Suppose 1/2*g**2 + 0 - 943/2*g = 0. Calculate g.
0, 943
Let i(j) = 0*j + 6 + 2*j - 3*j + 2*j. Let q be i(5). Factor q*b**3 - 10*b**2 - 8*b**3 - 8*b**3 + 0*b**3.
-5*b**2*(b + 2)
Let f(x) be the first derivative of x**5/15 - 7*x**4/6 - 12*x**3 - 19*x**2 + 61. Let z(o) be the second derivative of f(o). Factor z(p).
4*(p - 9)*(p + 2)
Let d be (-12)/8*(120/(-18) - -4). Let y(g) be the first derivative of 8*g**2 - 24*g - 1/2*g**d + 5 + 2/3*g**3. Let y(w) = 0. Calculate w.
-3, 2
Let t(d) be the first derivative of d**4/12 + 20*d**3/9 + 67*d**2/6 + 16*d + 1130. What is q in t(q) = 0?
-16, -3, -1
Suppose 4*y - 3*y = 1. Suppose -s = 5*b - 22, -4*s - 3 = -3*b + y. Let -c**s + 0*c**2 + 10*c**2 + 8*c + 19*c**2 = 0. What is c?
-2/7, 0
Let o(r) be the third derivative of r**5/90 + 139*r**4/36 - 7*r**2 + 69. Factor o(z).
2*z*(z + 139)/3
Let d = 770475 + -770473. Factor -5/3*m**3 - 20*m**d + 0 + 0*m.
-5*m**2*(m + 12)/3
Suppose -64 = -93*m + 77*m. Suppose 2*h - 8 = -3*r, m*h + 4*r - 28 = r. What is y in -2*y**4 - 34/3*y**2 + 4*y - 2/3*y**5 + h*y**3 + 0 = 0?
-6, 0, 1
Let f = -27110 + 108443/4. Factor -f + 19/4*t + 25/2*t**2.
(2*t + 1)*(25*t - 3)/4
Let o(s) = -s**4 + 2*s**3 - 2*s**2 + 1. Let a(g) = -10*g**4 - 650*g**3 + 1986*g**2 - 2006*g + 680. Let j(k) = a(k) - 12*o(k). Determine b, given that j(b) = 0.
1, 334
Let p(d) be the first derivative of -d**7/168 + 5*d**6/72 - d**5/6 + 8*d**3/3 - 70. Let h(f) be the third derivative of p(f). Let h(w) = 0. What is w?
0, 1, 4
Let b be 68/17 - (-3 - -1). Suppose -7*m = -4*m - b. Determine j, given that -2*j**4 + 92 - 4*j**3 - m*j**4 - 92 = 0.
-1, 0
Solve 2427/4*a**3 + 125/2*a**4 + 0 + 833*a**2 - 289*a + 7/4*a**5 = 0.
-17, -2, 0, 2/7
Suppose -3*h - 24 = r, 5828*h = -4*r + 5826*h - 16. Determine o so that 4*o**3 + r + 16/5*o + 2/5*o**4 + 34/5*o**2 = 0.
-8, -1, 0
Suppose -9757*t - 177 + 11999 = -4635 - 12814. Suppose -122/9*j - 2/3*j**t + 64/9*j**2 - 16/3 = 0. Calculate j.
-1/3, 3, 8
Suppose 0 = -2*c - 28 - 1294. Let d = c + 663. Factor -2/5*w**4 - 2/5*w**d + 0*w + 4/5*w**3 + 0.
-2*w**2*(w - 1)**2/5
Let j(l) be the third derivative of -l**7/210 + 3*l**6/20 - 31*l**5/20 + 17*l**4/3 - 10*l**3 - 15*l**2 + 22*l. Factor j(z).
-(z - 10)*(z - 6)*(z - 1)**2
Let -224*y - 465*y**2 - 1699*y - 7056 - 1653*y - 3*y**3 = 0. What is y?
-147, -4
Let i(d) = d**2 + 11*d - 10. Let k(b) = 0*b**2 + 2*b**2 - 3*b - 3*b**2 + 2*b + 1. Let q(v) = -2*i(v) - 4*k(v). Factor q(p).
2*(p - 8)*(p - 1)
Solve 25/2 + 1/4*z**2 + 51/4*z = 0.
-50, -1
Let p(n) = 3*n - 9. Let u = -36 + 41. Let b be p(u). Factor -b*i**2 - 4*i**3 + 27 + 2*i**3 - 29 - 6*i.
-2*(i + 1)**3
Solve 297356/5*g**3 - 2837744*g**2 + 2195200 + 4343360*g - 2108/5*g**4 + g**5 = 0 for g.
-2/5, 2, 140
Let w be 70/2 + 1/(-5)*0. Let v = w - 21. Suppose 4*x**4 - 8*x**3 - 4 + v - 12*x**2 + 6 + 16*x = 0. Calculate x.
-1, 2
Let j = 69/517 - 2/47. Let r(p) = -1483*p + 7419. Let v be r(5). Factor -4/11*y**2 - 4/11*y + j*y**3 + 0 + 1/11*y**v.
y*(y - 2)*(y + 1)*(y + 2)/11
Let u(f) = 4*f**3 + 66*f**2 + 48*f + 256. Let r be u(-16). Let 0 + 1/9*z**5 + 0*z**2 - 4/9*z**4 + r*z**3 + 0*z = 0. What is z?
0, 4
Factor -5/6*a**2 - 65*a - 2480/3.
-5*(a + 16)*(a + 62)/6
Let o(v) be the first derivative of 74 - 64/9*v + 1/18*v**4 + 0*v**2 + 4/9*v**3. Factor o(k).
2*(k - 2)*(k + 4)**2/9
Let g = -1569 + 1599. Suppose 0 = -6222*n + 6228*n - g. Factor -5*o**2 - 29/3*o**4 + 11*o**3 + 3*o**n + 0 + 2/3*o.
o*(o - 1)**3*(9*o - 2)/3
Let j(w) be the second derivative of w**5/5 + 88*w**4/3 - 122*w**3 - 540*w**2 + 300*w - 5. Find d, given that j(d) = 0.
-90, -1, 3
Suppose -34*b - 40 = -32*b. Let z be (2/(-5))/(4/b*1). Determine v, given that -v**2 - 42*v**3 + 45*v**3 - 2*v**z = 0.
0, 1
Let c(r) = -22169*r - 44334. Let j be c(-2). Suppose -21/8*w**2 + 3/8*w**j - 3/2 + 1/4*w**3 - 4*w = 0. Calculate w.
-2, -1, -2/3, 3
Factor 2/7*s**2 + 90/7 - 92/7*s.
2*(s - 45)*(s - 1)/7
Let a(u) = 245*u + 7595. Let k be a(-31). Let q = -729/17 - -43. Factor k + 2/17*f + q*f**2.
2*f*(f + 1)/17
Let g be (-55 + 7)*(-5 + (-56)/(-12)). Let i(b) be the first derivative of -4*b**2 - 1/3*b**3 - 17 - g*b. Factor i(v).
-(v + 4)**2
Suppose -1/8*w**4 + 35/8*w + 37/8*w**2 - 35/8*w**3 - 9/2 = 0. What is w?
-36, -1, 1
Let d(z) be the second derivative of z**6/150 + 9*z**5/50 + 11*z**4/20 + 8*z**3/15 - 982*z. Find y, given that d(y) = 0.
-16, -1, 0
Let m(v) be the second derivative of v**7/273 + 16*v**6/195 + 27*v**5/65 + 38*v**4/39 + 49*v**3/39 + 12*v**2/13 - 4018*v. Factor m(d).
2*(d + 1)**4*(d + 12)/13
Suppose -2/3*w**4 + 0 + 988/3*w - 88/3*w**3 - 898/3*w**2 = 0. What is w?
-26, -19, 0, 1
Let b be 19 + 10 + 5/(-1). Solve -12 + b*r + 29*r - 37*r + 28*r**2 = 0 for r.
-1, 3/7
Let c(p) = -15*p + 45. Let b be c(3). Suppose b = -w - 10*w - 2*w. Find s, given that 6/5*s**3 + w*s**2 - 6/5*s + 3/5*s**4 - 3/5 = 0.
-1, 1
Let l(o) = -o**2 + 18. Let a be l(4). Factor -10*f**2 - 20*f**2 - 5*f**3 - 3*f**a + 750 + 175*f + 13*f**2.
-5*(f - 6)*(f + 5)**2
Let x(a) be the second derivative of 17 + 34/5*a**5 - 108*a**2 + 12*a**4 + 4/3*a**6 - 18*a**3 + 2*a + 2/21*a**7. Factor x(c).
4*(c - 1)*(c + 2)*(c + 3)**3
Let j(d) = d**3 - d. Let g(w) be the second derivative of -3*w**5/20 - w**4/2 + w**3/2 + 3*w**2 + 3*w + 16. Let x(k) = g(k) + j(k). Find p, given that x(p) = 0.
-3, -1, 1
Let d = -67337 - -134683/2. Factor 0 - d*q**4 + 42*q**2 + q**3 + 36*q + 1/2*q**5.
q*(q - 6)**2*(q + 1)*(q + 2)/2
Let a = 43251/2 - 389195/18. Factor 10/3 + a*x + 2/9*x**2.
2*(x + 1)*(x + 15)/9
Let t(b) = b**2 + 2*b + 2. Let g(s) = -7 + 120*s - 497*s + 124*s + 123*s + 126*s - 2*s**2. Let w(u) = -2*g(u) - 7*t(u). Factor w(q).
-3*q*(q + 2)
Let i(z) be the third derivative of z**5/60 + 19*z**4/12 - 40*z**3/3 + 2894*z**2. What is m in i(m) = 0?
-40, 2
Let y(g) be the first derivative of 3*g**5/20 + 45*g**4/4 