180/(-25))/(-12)) - 10. Determine x so that -224/9*x - 2/9*x**k - 6272/9 = 0.
-56
Suppose -j + 1 = 2*j + 4*m, -m = 3*j - 7. Let g(x) = -2*x**2 - 5*x + 154. Let l be g(-10). Factor -12*c - 6*c**3 - 8 + 6*c**j + l*c**3.
4*(c - 2)*(c + 1)**2
Let c(q) be the second derivative of -5*q**7/112 + 33*q**6/80 - 129*q**5/160 + 15*q**4/32 + 6*q + 55. Let c(y) = 0. What is y?
0, 3/5, 1, 5
Factor -3/2 + 4*j - 3/2*j**2 - j**3.
-(j - 1)*(j + 3)*(2*j - 1)/2
Let p be ((-5)/(-2 + -18))/(45 + 979/(-22)). Find s such that 0*s**2 + p*s**4 + 0 - 6*s**3 + 0*s = 0.
0, 12
Factor 1/3*d**2 - 136 + 98/3*d.
(d - 4)*(d + 102)/3
Suppose 493*r = 35*r. Find o, given that -2/7*o**5 + 8/7*o + 2/7*o**4 + r + 18/7*o**3 + 22/7*o**2 = 0.
-1, 0, 4
Determine y so that 475*y**2 - 1620 - 35/2*y**4 + 45*y - 5/4*y**5 - 25/4*y**3 = 0.
-9, -2, 2, 4
Let j(y) be the second derivative of y**8/2520 + y**7/175 + 2*y**6/75 + 8*y**5/225 - 33*y**2/2 + 111*y. Let h(n) be the first derivative of j(n). Factor h(m).
2*m**2*(m + 1)*(m + 4)**2/15
Let s = -4312 + 4314. Let x(q) be the third derivative of 1/390*q**5 + 0*q + 1/39*q**3 - q**s + 1/78*q**4 + 0. Determine z, given that x(z) = 0.
-1
Suppose 6*t = -95 + 149. Factor -11 + t*v**3 - 3*v**4 + 51*v + 17 + 12 + 45*v**2.
-3*(v - 6)*(v + 1)**3
Let k(s) be the first derivative of -s**6/6 + s**5/5 + s**4/4 - s**3/3 - 2779. Factor k(v).
-v**2*(v - 1)**2*(v + 1)
Let w be (21/224)/(1 + 110/(-200)). Let v(z) be the second derivative of -15/2*z**2 + 0 - 35/12*z**3 - 23*z - w*z**4. Factor v(b).
-5*(b + 1)*(b + 6)/2
Let o(d) be the second derivative of -d**5/30 + d**4/3 - 4*d**3/3 - 63*d**2/2 + 106*d. Let r(l) be the first derivative of o(l). Factor r(x).
-2*(x - 2)**2
Suppose -671*x - 679*x + 1329*x + 84 = 0. Determine a, given that 0 - 63/2*a**3 + 30*a**2 + 3/2*a**x + 0*a = 0.
0, 1, 20
Let z(a) be the first derivative of 2*a**5/65 - 145*a**4 + 3157584*a**3/13 - 1981381446*a**2/13 - 3972243186*a/13 + 886. What is f in z(f) = 0?
-1, 1257
Suppose -16 = -c - 10. Let n(w) be the first derivative of 0*w - 9/4*w**4 + 1/2*w**c + w**3 - 14 - 3/5*w**5 + 3*w**2. Factor n(y).
3*y*(y - 2)*(y - 1)*(y + 1)**2
Let c be (-6 + (16 - 7))/(3/6*2). Let d(w) be the second derivative of -4/45*w**4 + 0 - 27*w - 1/15*w**c + 1/50*w**5 + 0*w**2. Factor d(s).
2*s*(s - 3)*(3*s + 1)/15
Let 75*v**2 - 3750*v - 1/2*v**3 + 62500 = 0. What is v?
50
Let o(r) = 11*r**4 + 2*r**3 - 53*r**2 - 5*r. Let h(p) = -6*p**4 + 27*p**2 + 3*p. Let c(j) = 5*h(j) + 3*o(j). Solve c(g) = 0 for g.
-4, 0, 2
Let p be (-169 - -194) + 765/(-36). Determine z, given that 9/4*z**2 + 7/4 + 1/4*z**3 + p*z = 0.
-7, -1
Suppose 0 = 6*t - 24 + 12. What is s in -123*s**3 + 12 + 62*s**3 + 77*s**3 - 14*s - 12*s**2 - t*s**5 = 0?
-3, -1, 1, 2
Let k be 24/10*10/9. Let u(t) = -14*t**2 - 25*t + 8. Let r be u(-2). Factor -1/3*y**3 - k*y - 4/3 - 5/3*y**r.
-(y + 1)*(y + 2)**2/3
Suppose -4*d + 78 - 86 = 0, -5*d - 10 = 3*p. Let c(z) be the third derivative of -12*z**2 + 1/30*z**5 + p*z**4 - 1/3*z**3 + 0*z + 0. Find j such that c(j) = 0.
-1, 1
Let f be ((-2)/3)/(16/(-12)). Let i(k) = -1727*k - 6903. Let r be i(-4). Factor f*t**2 + r*t + 9/2.
(t + 1)*(t + 9)/2
Let h(s) = 133*s + 274. Let y be h(-3). Let b = y + 127. Solve 0 - 23/6*o**4 - 2/3*o**b + 10/3*o**3 + 0*o + 7/6*o**5 = 0.
0, 2/7, 1, 2
Let r(o) be the second derivative of 0*o**2 + 0*o**3 - 1/100*o**5 + 66*o - 13/60*o**4 + 0. Factor r(k).
-k**2*(k + 13)/5
Suppose 0*c + 5*l = -5*c - 15, -3*l = -5*c + 25. Let a(n) = -4*n + 10. Let h be a(c). Suppose -80*g**4 + 2*g**h - 52*g**3 + 92*g**3 - 7*g**2 = 0. Calculate g.
0, 1/4
Let a be 358/(-8) + 8 - -38. Factor -2695*b - 3430 + 1365/2*b**2 + a*b**4 - 205/4*b**3.
5*(b - 14)**3*(b + 1)/4
Let q = 115914 - 115914. Let m be (-2)/(-5) - (-8)/5. Suppose 5/3*u**3 + 10/3*u + q - 5/6*u**4 + 35/6*u**m = 0. What is u?
-1, 0, 4
Let h(f) be the first derivative of 4/17*f - 12 + 5/34*f**4 + 7/17*f**2 + 6/17*f**3 + 2/85*f**5. Factor h(p).
2*(p + 1)**3*(p + 2)/17
Let r = -15389 + 15391. Let d = -1882 + 13196/7. Factor -4/7 + 26/7*k**r - d*k.
2*(k - 1)*(13*k + 2)/7
Suppose -3*a + 67 = -j + 73, 0 = -3*j + a + 2. Determine v, given that 0*v**3 + 0*v - v**2 + 1/4*v**4 + j = 0.
-2, 0, 2
Factor -41*p**2 + 28*p + 24*p**3 - 5*p + 240 - 13*p**3 + 11*p - 10*p**3.
(p - 40)*(p - 3)*(p + 2)
Let j(p) be the second derivative of -p**5/390 + p**4/52 - 2*p**3/39 + 91*p**2/2 - 139*p. Let k(d) be the first derivative of j(d). Factor k(b).
-2*(b - 2)*(b - 1)/13
Let f(b) be the third derivative of b**6/30 - b**5/3 + b**4 + 888*b**2 - 2. Factor f(i).
4*i*(i - 3)*(i - 2)
Let j = 131/16008 - -1/6670. Let p(i) be the second derivative of 1/60*i**3 - 6*i + 0 - j*i**4 + 0*i**2. Suppose p(o) = 0. What is o?
0, 1
Let o be ((-25)/(-15) - (-808)/120) + (-4 - 4). Factor o*r**3 + 2/5*r**4 - 6/5*r**2 - 2*r - 4/5.
2*(r - 2)*(r + 1)**3/5
Let u be ((-3)/3)/(8/(-6) + 1). Suppose -8*g**2 - u + 19*g**2 - 6*g**2 - 30*g + 48 = 0. What is g?
3
Find o, given that -616/5*o - 26/5*o**3 - 1568/15 - 2/15*o**4 - 136/3*o**2 = 0.
-28, -7, -2
Let l be (-10)/24 - (-2 + (-48)/(-36)). Let k(d) be the first derivative of -1/3*d**3 - d**2 + 0*d + l*d**4 - 13. Determine q so that k(q) = 0.
-1, 0, 2
Let b(p) be the third derivative of p**5/210 + 718*p**4/21 + 2062096*p**3/21 - 4963*p**2. Factor b(n).
2*(n + 1436)**2/7
Factor 3/8*n**2 + 0 - 141/8*n.
3*n*(n - 47)/8
Factor -2/17*a**2 - 520/17 + 72/17*a.
-2*(a - 26)*(a - 10)/17
Let u(w) = -20*w**3 - 505*w**2 - 2327*w - 3587. Let v(i) = -5*i**3 - 125*i**2 - 582*i - 897. Let l(g) = -3*u(g) + 13*v(g). Factor l(y).
-5*(y + 3)*(y + 4)*(y + 15)
Let z be (-320)/(2 - -14) + 24. Let p(t) be the first derivative of 0*t**2 + 0*t**3 - 3/20*t**5 + 0*t + 9/16*t**z + 8. Suppose p(g) = 0. Calculate g.
0, 3
Let a(o) be the second derivative of -o**4/24 + 448*o**3/3 - 200704*o**2 + 4922*o. Let a(q) = 0. Calculate q.
896
Let -156/7*h + 156/7*h**3 - 302/7*h**2 - 2/7*h**4 + 304/7 = 0. Calculate h.
-1, 1, 2, 76
Solve -125 + 297 - 3*s**3 - 360*s + 331 - 71 - 69*s**2 = 0 for s.
-12, 1
Let p(g) be the second derivative of g**4/42 - 38*g**3/7 + 333*g**2/7 - 17*g + 26. Factor p(m).
2*(m - 111)*(m - 3)/7
Let m(n) be the first derivative of -n**3/18 + 193*n**2/12 - 32*n - 184. Solve m(g) = 0 for g.
1, 192
Let y be (152/12 - 2/3) + -2. Suppose 0 = -11*n + y*n. Factor -c**5 - 3*c**4 + 0*c**5 + n*c**5 + 4*c**2.
-c**2*(c - 1)*(c + 2)**2
Let w be (6/(-4))/(((-1578)/20)/263). Find u, given that 32/5*u**4 + 24/5*u**w - 2*u**3 - 14/5*u - 6*u**2 - 2/5 = 0.
-1, -1/2, -1/3, 1
Let k(m) = -3*m**3 + 64*m**2 + 189*m + 126. Let r(n) = n**3 - n - 1. Let t(z) = -5*k(z) - 20*r(z). Factor t(w).
-5*(w + 1)*(w + 2)*(w + 61)
Let t(i) be the first derivative of -i**4/4 + 20*i**3/3 + 667*i**2/2 + 646*i - 1791. Factor t(j).
-(j - 38)*(j + 1)*(j + 17)
Let x(w) be the second derivative of w**5/4 - 395*w**4/12 + 775*w**3/6 - 385*w**2/2 + 2724*w. Factor x(b).
5*(b - 77)*(b - 1)**2
Solve 0 + 26/7*j**4 - 230/7*j**3 + 8*j + 328/7*j**2 = 0 for j.
-2/13, 0, 2, 7
Let r(u) be the second derivative of 60*u**3 + 54 - u + 40*u**2 + 10/21*u**7 + 5/4*u**5 + 445/12*u**4 - 4*u**6. Let r(g) = 0. Calculate g.
-1, -1/2, 4
Let y(x) = -4*x**3 + 4*x**2 + x - 4. Let p(o) = -o**3 + o**2 - 1. Let w = 29 - 21. Suppose h = w*h + 21. Let g(i) = h*p(i) + y(i). Factor g(l).
-(l - 1)**2*(l + 1)
Let y(k) be the third derivative of k**6/30 - 17*k**5/5 - k**2 + 5*k + 42. Factor y(d).
4*d**2*(d - 51)
Let c = -2779 + 2781. Let z(o) be the first derivative of -2/39*o**3 + 1/13*o**c + 2/13*o - 1/26*o**4 - 16. Factor z(d).
-2*(d - 1)*(d + 1)**2/13
Suppose 5*c = -2*i + 2, -2*c - 3 - 1 = 2*i. Suppose -c*l - 7 + 11 = 0. Solve -7*d + 0*d**2 + 25*d + 27 + 3*d**l = 0 for d.
-3
Let v be ((-5)/(-3) - 1) + 44/(-66). Suppose -24*o - 3 = -3*k - 21*o, -k - 5*o + 7 = v. Factor 8/5*j**k + 0*j + 0 + 12/5*j**3 + 4/5*j**4.
4*j**2*(j + 1)*(j + 2)/5
Let r(i) be the second derivative of i**4/3 - 1772*i**3/3 + 392498*i**2 - 2717*i. Suppose r(j) = 0. What is j?
443
Let o(n) be the second derivative of -n**4/6 + 7*n**3 - 38*n**2 + 5188*n. Factor o(a).
-2*(a - 19)*(a - 2)
Let s(k) be the first derivative of -3*k**4/28 + 13*k**3/7 + 129*k**2/7 + 216*k/7 - 455. Find w such that s(w) = 0.
-4, -1, 18
Let j be 9/(-6) + ((-342)/(-84) - (-4)/(-7)). Let l(k) be the first derivative of -40*k**j 