(q) = 0.
0, 66
Let d(k) = -5*k**3 + 835*k**2 - 1661*k + 825. Let b(f) = -5*f**3 + 835*f**2 - 1662*f + 825. Let r(u) = 6*b(u) - 7*d(u). Solve r(i) = 0 for i.
1, 165
Suppose 442*w - 940 - 702 + 316 = 0. Factor -74/7*j + 2/7*j**4 - 30/7*j**w + 24/7 + 78/7*j**2.
2*(j - 12)*(j - 1)**3/7
Suppose -8*y = 63 - 1887. Let q = -156 + y. Find b, given that -q*b**2 - b**3 + 38*b**2 + 33*b**2 + 6*b = 0.
-3, 0, 2
Suppose -57*w = 215*w + 212*w - 968. Factor 0 - 6*y**w - 32/3*y**4 + 16*y**3 + 0*y.
-2*y**2*(4*y - 3)**2/3
Suppose -341/3*s + 1/3*s**2 - 460 = 0. What is s?
-4, 345
Suppose 27*j - 61 - 74 = 0. Determine t, given that -36*t**4 - 384*t + 80*t**3 + t**2 - 7*t**5 + 11*t**j + 43*t**2 + 45*t**2 - 9*t**2 + 256 = 0.
-2, 1, 2, 4
Let l(j) be the second derivative of -j**6/120 - 103*j**5/20 - 42845*j**4/48 - 42025*j**3/12 + 10533*j. Let l(m) = 0. What is m?
-205, -2, 0
Let z = 633705 - 633703. Factor -1/3*s**2 + z*s - 5/3.
-(s - 5)*(s - 1)/3
Let j(k) = -2*k**2 - k. Let o(g) = -g**3 - 18*g**2 + g + 20. Let r be o(-18). Let y(n) = -8*n**2 + 158*n - 1600. Let l(z) = r*j(z) - y(z). Factor l(s).
4*(s - 20)**2
Let i(k) = 4*k**3 - 2*k + 2. Let c be i(1). Let q = c + -2. Determine n so that -3*n - 5*n**2 + 6*n**q + 0*n**2 + 4*n = 0.
-1, 0
Let t(u) be the second derivative of -3/10*u**5 + 1/3*u**4 + 67*u + 1/15*u**6 + 0*u**2 + 0*u**3 + 0. Factor t(v).
2*v**2*(v - 2)*(v - 1)
Let o(u) = -31*u**3 + 78*u**2 - 387*u + 498. Let g(m) = 2*m**3 + 3. Let v(y) = -14*g(y) - o(y). Suppose v(l) = 0. What is l?
3, 20
Let 157/3*y**3 + 385/3*y**2 + 30 + 113*y + 7*y**4 = 0. Calculate y.
-3, -1, -10/21
Let q = -1030 + 1756. Suppose 2*z = 13*z - q. Find w such that -7*w + 42*w**4 - 5*w**3 + 8*w**5 - z*w**2 + 39*w**3 - 11*w = 0.
-3, -1/4, 0, 1
Let f(l) be the third derivative of -l**8/84 - 2*l**7/35 + l**6/5 + 2*l**5/3 - 7*l**4/2 + 6*l**3 - 3*l**2 - 1679. Let f(b) = 0. What is b?
-3, 1
Factor 4*o**3 - 12*o + 648 + 1098*o - 142*o**2 + 138*o.
2*(o - 18)**2*(2*o + 1)
Let i(w) be the third derivative of -25*w**8/336 + w**7/3 + 11*w**6/120 - 7*w**5/5 - 3*w**4/2 - 2535*w**2. Determine x, given that i(x) = 0.
-3/5, 0, 2
Suppose 3*r + 357*b - 360*b + 18 = 0, -3*r = -2*b + 9. Factor 9*a**2 + 0 - 12*a - 3/2*a**r.
-3*a*(a - 4)*(a - 2)/2
Find r, given that 240633*r**2 - 240638*r**2 + 2367*r + 1443*r - 725805 = 0.
381
Let w(m) = -172*m - 1547. Let i be w(-9). Let z(q) be the first derivative of -5/12*q**3 - 1/16*q**4 - i - 3/8*q**2 + 9/4*q. Factor z(y).
-(y - 1)*(y + 3)**2/4
Let a(q) be the third derivative of 1/57*q**3 - 1/1995*q**7 + 0*q**5 - 26*q + 2*q**2 + 0 + 1/570*q**6 - 1/114*q**4. Factor a(c).
-2*(c - 1)**3*(c + 1)/19
Let n(a) = -40*a - 160. Let y(v) = 6*v. Let h(k) = n(k) + 4*y(k). Let j be h(-10). Factor -1/8*q**2 + j*q - 1/8*q**4 + 0 + 1/4*q**3.
-q**2*(q - 1)**2/8
Let u = 3226 - 400027/124. Let b = u - -765/868. Solve 2/7*m**5 + 2/7 + 4/7*m**3 + 4/7*m**2 - b*m**4 - 6/7*m = 0.
-1, 1
Let z be (88/198)/((-4)/(-8406)). Let r = z - 934. Determine a so that -2/15*a**3 + 0*a + r - 8/15*a**2 = 0.
-4, 0
Let q(g) be the third derivative of -g**5/60 - 331*g**4/24 - 329*g**3/3 - 4*g**2 + 3*g - 34. Solve q(j) = 0 for j.
-329, -2
Let f be 1/(-2) + -4*(-3)/(-22)*(56 + -67). Factor -13/4*i - 1/4*i**2 - f.
-(i + 2)*(i + 11)/4
Let s = 19 + -15. Factor 70 - 2 + s*a**2 + 135*a - 63*a.
4*(a + 1)*(a + 17)
Let y(v) = -3*v**4 - 21*v**3 + 34*v**2 + 36*v + 16. Let u(r) = r**4 + 2*r**3 - 2*r**2 + r - 4. Let h(q) = -12*u(q) - 3*y(q). Factor h(k).
-3*k*(k - 10)*(k - 4)*(k + 1)
Let i be (-10 - -3 - -12) + -62. Let v = i - -173/3. Let 1/3*s**2 - 8/3 - v*s = 0. What is s?
-2, 4
Let r = -398185/52 + 30645/4. Find x such that 0 - 20/13*x**2 + r*x + 2/13*x**3 = 0.
0, 5
Let o(s) = 6*s**2 - 2*s + 1. Let z = 176 - 175. Let q be o(z). Let 0 + 0*b**4 + 0*b + 1/4*b**3 + 0*b**2 - 1/4*b**q = 0. Calculate b.
-1, 0, 1
Let u(t) = t**2 + 2*t - 9. Let s be u(4). Suppose s*m - 36 = 6*m. Factor 3*g + 1 + m - g**2 - 1 - 6.
-(g - 2)*(g - 1)
Factor -75/4*h + 168 - 3/4*h**2.
-3*(h - 7)*(h + 32)/4
Let h be 2/(-3)*36/(-24). Let k(n) = -30*n**4 + 265*n**3 - 345*n**2 - 175*n + 15. Let r(c) = -c**4 - c**2 + c + 3. Let d(q) = h*k(q) - 5*r(q). Factor d(i).
-5*i*(i - 9)*(i - 2)*(5*i + 2)
Let j = 4818 + -4813. Let o(l) be the third derivative of -18*l**2 + 0*l + 0 + 1/30*l**3 + 3/80*l**4 - 1/300*l**6 + 1/200*l**j. Factor o(i).
-(i - 2)*(i + 1)*(4*i + 1)/10
Let c(d) be the second derivative of -4/45*d**3 + 1/150*d**5 - 4/15*d**2 + 0 + 16*d + 1/90*d**4. Suppose c(t) = 0. Calculate t.
-2, -1, 2
Suppose -3*o - 1 = -7. Suppose 1 = 5*v + 3*m, o = -v + 5*v + 2*m. Factor -s**4 - s**3 + 1707 + s**v + s**5 + 0*s**3 - 1707.
s**2*(s - 1)**2*(s + 1)
Let y(s) be the third derivative of 7/30*s**5 + 0*s + 1/21*s**7 + 0 + 1/6*s**4 + 33*s**2 + 3/20*s**6 + 0*s**3 + 1/168*s**8. Factor y(j).
2*j*(j + 1)**3*(j + 2)
Let m(y) be the third derivative of y**5/210 + 19*y**4/7 - 460*y**3/21 + 1128*y**2. Factor m(j).
2*(j - 2)*(j + 230)/7
Suppose -4343*p + 51 = -4326*p. Let w(y) be the third derivative of 0*y**p + 0*y**4 + 0 + 1/120*y**6 + 0*y + 1/30*y**5 - 9*y**2. What is z in w(z) = 0?
-2, 0
Let j = 626 + -624. Let f(a) be the second derivative of 0 - 1/4*a**5 - 5/6*a**3 + 0*a**j - 21*a + 5/6*a**4. Let f(y) = 0. Calculate y.
0, 1
Factor 70688/9 + 2/9*h**2 - 752/9*h.
2*(h - 188)**2/9
Suppose -53*d + 1739 = 1527. Let w(i) be the second derivative of 0*i**3 + 0 + 4/7*i**2 + d*i - 1/14*i**4 - 1/70*i**5. Let w(k) = 0. What is k?
-2, 1
Let v(u) = 12*u**3 - 3*u - 2. Let m be v(-1). Let i be 2/m + (-101)/(-11). Find z, given that -i*z**3 - 2*z**4 - 2767 + 22*z + 6*z**2 + 2779 + 3*z**3 = 0.
-3, -1, 2
Let f(r) = 84*r**2 + 124*r + 200. Let t = 284 + -316. Let i(o) = 13*o**2 + 19*o + 31. Let b(p) = t*i(p) + 5*f(p). Factor b(z).
4*(z + 1)*(z + 2)
Suppose -20 = -214*c + 219*c. Let n(s) = -4*s**3. Let p(u) = -u**4 - 3*u**3 - u**2. Let x(r) = c*p(r) + 5*n(r). Factor x(y).
4*y**2*(y - 1)**2
Let b(f) = -381*f - 2663. Let v be b(-7). Let g = 96 + -96. Factor 2/3*x**5 + g - 4/3*x**v - 8/3*x**3 + 0*x + 16/3*x**2.
2*x**2*(x - 2)**2*(x + 2)/3
Let c(x) = 4*x**3 - x**2 + x - 1. Let g(i) = -19*i**3 + 274*i**2 - 6583*i + 22192. Let a(o) = -4*c(o) - g(o). Factor a(z).
3*(z - 43)**2*(z - 4)
Let -3*c**5 + 71*c**3 + 12*c**4 + 43*c**3 - 108 - 12*c + 96*c**2 - 111*c + 12*c**3 + 0*c**4 = 0. Calculate c.
-4, -1, 1, 9
Factor 30*x + 504/5 - 57/5*x**2 - 3/5*x**3.
-3*(x - 4)*(x + 2)*(x + 21)/5
Let g(r) be the second derivative of 5*r**4/12 - 43*r**3/3 - 36*r**2 + 729*r - 1. Find o such that g(o) = 0.
-4/5, 18
Suppose -12*a + 220 = -2*a. Solve 19*w**4 + 15*w - 17*w - 3*w**2 + 8*w**3 - a*w**4 = 0.
-1/3, 0, 1, 2
Let i(d) be the second derivative of -5*d**4/6 - 1375*d**3/6 - 685*d**2/2 - 5*d + 8. Factor i(r).
-5*(r + 137)*(2*r + 1)
Let v(h) be the third derivative of -2/75*h**5 + h**2 + 0*h + 2/5*h**3 - 1/6*h**4 - 5. Factor v(d).
-4*(d + 3)*(2*d - 1)/5
Determine f so that -15*f + 3*f**4 + 3*f**4 - 141*f**2 - 10*f**4 + 105*f**3 - 8*f**4 - 27*f = 0.
-1/4, 0, 2, 7
Let s(t) = t**2 + 17*t + 56. Let r be s(-17). Let c = -34 + r. Factor 70 + 64*j + 60*j**2 - 4*j + c*j - 5*j**3 + 53*j.
-5*(j - 14)*(j + 1)**2
Let j be 4 + 80/(-8) - 852. Let m be 2*4 + 6708/j. Determine d so that -m*d**3 + 0 - 2/11*d**5 + 6/11*d**2 - 6/11*d**4 + 4/11*d = 0.
-2, -1, 0, 1
Let h(t) be the third derivative of 0*t - 41/240*t**6 - 5/448*t**8 + 93*t**2 + 0 + 0*t**3 - 11/60*t**5 - 1/12*t**4 - 61/840*t**7. Suppose h(g) = 0. Calculate g.
-2, -1, -2/3, -2/5, 0
Let g(w) be the first derivative of 3*w**4/20 + w**3/5 - 24*w**2/5 + 12*w + 1932. Factor g(q).
3*(q - 2)**2*(q + 5)/5
Let h(g) = -g**3 - 8*g**2 + 27*g + 24. Let w be h(-11). Suppose 52*x - w = 14. Factor 0*m**x + 0 - 5/2*m**3 - 5/4*m**4 + 0*m.
-5*m**3*(m + 2)/4
Let c(t) be the third derivative of 0*t + 13/140*t**5 + 3/7*t**3 - 24*t**2 + 0 - 41/56*t**4. Factor c(b).
3*(b - 3)*(13*b - 2)/7
Suppose -9*t + 8*t - 55*t + 112 = 0. Let z(h) = h**3 + 4*h**2 - 5*h + 2. Let s be z(-5). Find o such that 1/2*o**2 + s*o + t = 0.
-2
Let n(i) be the second derivative of 4*i**7/105 - 13*i**6/75 - 12*i**5/25 + 21*i**4/10 + 18*i**3/5 - 3439*i. Solve n(w) = 0.
-2, -3/4, 0, 3
Let a(x) be the first derivative of x**6/72 + x**5/2 + 15*x**4/2 + 18*x**3 - 3*x - 161. Let f(l) be the third derivative of a(l). Solve f(p) = 0 f