b**2 + 570*b - 527. Let w(o) = 4*l(o) + 13*u(o). Factor w(f).
-2*(f - 11)*(f - 7)*(f - 1)
Let u(q) be the second derivative of -q**7/399 - q**6/285 + 13*q**5/190 + q**4/114 - 4*q**3/19 + 1714*q + 1. Let u(d) = 0. Calculate d.
-4, -1, 0, 1, 3
Let b(u) = -u**2 + 11*u - 14. Let z be b(8). Suppose l = z*l - 90. What is n in 40*n - 8*n**2 - l*n**4 - 9*n**3 + 16 - 4*n**2 - 25*n**3 + 0*n**2 = 0?
-2, -2/5, 1
Suppose 433*x - 28 = 419*x. Factor -4*a**4 - 36*a**3 - 44*a + 0*a**4 - 224*a**2 + 308*a**x.
-4*a*(a - 1)**2*(a + 11)
Let w = -247 + 240. Let y(i) = -10*i**2 - 920*i - 21160. Let z(v) = -5*v**2 - 460*v - 10580. Let q(u) = w*z(u) + 4*y(u). Factor q(p).
-5*(p + 46)**2
Let o = -181 + 365/2. Let v = -16/5 + 47/10. Solve -3/4*t**3 + o - v*t**2 + 3/4*t = 0 for t.
-2, -1, 1
Let t(w) be the first derivative of -60*w - 36 - 20/3*w**3 + 56*w**2. Let t(y) = 0. What is y?
3/5, 5
Let u(y) = -2*y**2 + 48*y - 43. Let p be u(23). Factor 24 + 10*c**p + 114*c**2 + 3*c**5 + 24*c**4 + 101*c - 17*c + 19*c**3 + 45*c**3 + c**3.
3*(c + 1)**2*(c + 2)**3
Suppose 27*v = 34*v - 602. Suppose v*d**3 + 219*d + 19 + 236*d**2 - 8*d**4 - 8*d**5 + 41 + 12 + 3*d = 0. Calculate d.
-3/2, -1, 4
Let q be (16/10)/(18/45). Find l such that -16 - 2*l**3 + q*l**2 - 16*l**2 + 4*l + 20*l + 6*l = 0.
-8, 1
Let x(t) be the first derivative of 33 - 135*t**2 - 5/3*t**3 + 0*t. Factor x(j).
-5*j*(j + 54)
Let q(g) = -g**3 + 17*g**2 - 25*g - 48. Let h be q(3). Suppose -160/7*r**2 - 4 - 110/7*r + 2/7*r**5 - 20/7*r**4 - 100/7*r**h = 0. What is r?
-1, 14
Let q(c) = -6 - 4*c - 4*c + 0*c + 6*c. Let n be q(-5). Suppose -j**3 + 2*j + 7*j**2 - 5*j**4 - 4*j**3 + 3*j**3 - 2*j**n = 0. What is j?
-1, -2/7, 0, 1
Let c(b) be the first derivative of 2/39*b**3 + 578/13*b + 31 - 34/13*b**2. Suppose c(i) = 0. What is i?
17
Suppose 9 = -c + 17. Suppose -5 = -c*h + 11. Factor a + 1/3*a**3 + 1/3 + a**h.
(a + 1)**3/3
Let n(h) be the second derivative of 1/42*h**7 + 0*h**2 + 3/4*h**5 + 7/30*h**6 + 0*h**3 + 3/4*h**4 + 0 - 28*h. What is w in n(w) = 0?
-3, -1, 0
Let w = -1734 - -1734. Let a(n) be the first derivative of w*n - 140/3*n**3 - 75/2*n**4 + 15 - 9*n**5 - 20*n**2. Find g, given that a(g) = 0.
-2, -2/3, 0
Let u(m) = 19*m**2 - m + 1. Let c(g) = -37*g**2 - 697*g - 2. Let b(k) = c(k) + 2*u(k). Factor b(f).
f*(f - 699)
Factor -8/3*o - 2/3*o**2 + 30.
-2*(o - 5)*(o + 9)/3
Let m(v) be the third derivative of -v**7/105 - v**6/4 - 26*v**5/15 + 5*v**4 + 224*v**3/3 + v**2 + 5544*v. Find t, given that m(t) = 0.
-8, -7, -2, 2
Suppose -124*a**3 + 3*a + 129*a**3 - 8*a**5 + 520*a**2 - 259*a**2 - 11*a**4 - 250*a**2 = 0. What is a?
-1, -3/8, 0, 1
Let u(c) = 2*c**2 - 6*c - 4. Let o be u(4). Let d be 18/o + 2/(-4). Let -3*z**2 - 150*z**4 - 2 + z**5 + z**2 + 4*z**3 + 154*z**d - 5*z = 0. Calculate z.
-2, -1, 1
Factor 2/5*h**2 + 1424/5 + 194/5*h.
2*(h + 8)*(h + 89)/5
Let n(f) be the second derivative of 0*f**2 + 0 - 5/6*f**4 - 6/5*f**6 + 47*f - 1/6*f**3 - 33/20*f**5. Factor n(l).
-l*(3*l + 1)**2*(4*l + 1)
Let j(k) = -2*k. Let s be j(-3). Let i be s/4 - (-45)/(-30). Factor -27*o**3 + 12*o**2 + 30*o**3 + i + 15*o + 6.
3*(o + 1)**2*(o + 2)
Let n = -45 - -47. Let g be ((-44)/(-11))/((-1 - -1) + n). Factor 2 + 22*r**2 - 1 + r - 20*r**2 + g*r.
(r + 1)*(2*r + 1)
Suppose -3*n + 501 = -3*h, -3*n - 6*h = -3*h - 525. Factor -32*y - n*y**2 - 2*y**3 + 274*y**2 - 137*y**2.
-2*y*(y + 1)*(y + 16)
Determine q, given that 134/3*q + 8/3*q**2 - 140/3 - 2/3*q**3 = 0.
-7, 1, 10
Let l(i) be the second derivative of 17*i**6/45 - 8*i**5/5 + 25*i**4/18 + 2*i**3/3 - 2*i - 637. Find w such that l(w) = 0.
-3/17, 0, 1, 2
Determine p so that -1/3*p**4 - 1/3*p**5 - 26*p + 19/3*p**3 - 24 + 13/3*p**2 = 0.
-4, -2, -1, 3
Let l = 310491 - 310488. Factor 50/3*a + 0 + 10*a**2 + 5/6*a**l.
5*a*(a + 2)*(a + 10)/6
Let m = -357 + 366. Suppose 2*a + k - 1 = 0, -5*a + m = -3*k - 10. Factor -2/5 + 4/5*y**a - 2/5*y**4 + 0*y**3 + 0*y.
-2*(y - 1)**2*(y + 1)**2/5
Let k = 243 + -239. Suppose -2*u - 16 = -6*u. Solve 2*a**k + 14*a - 193*a**3 + 203*a**3 + 15*a**2 - 4*a**u + 11*a**2 = 0.
-1, 0, 7
Let r be 30/(-6)*8/(-10). Factor 2*s + 7*s - r*s**2 + 11*s - 24.
-4*(s - 3)*(s - 2)
Let b(u) be the third derivative of u**6/96 + 47*u**5/24 + 145*u**4 + 5520*u**3 + 19*u**2 - 16. Factor b(r).
5*(r + 24)**2*(r + 46)/4
Let v(w) = -23*w**2 - 400*w. Let g(x) = -10*x**2 - 200*x. Let u(n) = -5*g(n) + 2*v(n). What is d in u(d) = 0?
-50, 0
Suppose -z + b = 4 - 1, 0 = z - 4*b + 18. Factor 3*u - 6*u**2 + 7*u**2 + 22 - 4 - 4*u**z.
-3*(u - 3)*(u + 2)
Factor -5/4*v**4 + 385/4*v**3 + 0*v**2 + 0*v + 0.
-5*v**3*(v - 77)/4
Let c(j) = 200*j**3 + 19645*j**2 + 871335*j - 891045. Let b(t) = 9*t**3 + 893*t**2 + 39606*t - 40502. Let u(m) = -45*b(m) + 2*c(m). What is r in u(r) = 0?
-90, 1
Let u = 50 - 28. Let d = u - 20. Suppose 2*y**d - 5*y - 8*y**2 - 4 + 5*y**2 = 0. What is y?
-4, -1
Find v such that -21*v**2 + 41*v**4 - 4*v + 34*v**4 - 72*v**3 - 61*v**4 - 56*v + 139*v**2 = 0.
0, 1, 2, 15/7
Let b = -267719 + 267721. Factor 1/2*n**2 - b - 3/2*n.
(n - 4)*(n + 1)/2
Let l = 3/772583 - -3862909/1545166. Factor -45*r - l*r**2 + 0.
-5*r*(r + 18)/2
Let c be 88/20 + 3/(60/(-8)). Let k(g) = 2*g**2 - 4. Let v be k(-2). Factor -l**5 - l**c - 3*l**v - 2*l**2 + l + 6*l**4.
-l*(l - 1)**3*(l + 1)
Let y(g) be the first derivative of -12*g**2 - 19 + 0*g + g**4 - 20/3*g**3. Solve y(l) = 0.
-1, 0, 6
Let a(y) = y**4 + 2*y**2 + y - 2. Let f(u) = -3*u**5 + 44*u**4 - 213*u**3 + 385*u**2 - 217*u + 2. Let t(k) = a(k) + f(k). Find b such that t(b) = 0.
0, 1, 3, 8
Let n be 18/99*3916/24 + -17. Find h, given that -12*h - n*h**2 + 2/3 = 0.
-1, 1/19
Let b be (3 - (-951)/(-6))*(-192)/16. Let r = -13058/7 + b. Let 2/7 - 6/7*o - 6/7*o**5 - r*o**2 + 2/7*o**4 + 12/7*o**3 = 0. What is o?
-1, 1/3, 1
Solve -962/9*i**3 + 478/9*i**4 + 482/9*i**2 + 0 + 0*i + 2/9*i**5 = 0 for i.
-241, 0, 1
Suppose 0 - 2/11*y**4 - 8192/11*y**2 + 0*y - 256/11*y**3 = 0. Calculate y.
-64, 0
Let u(i) be the third derivative of 1/7*i**3 + 0 + 1/490*i**7 - 3/140*i**5 + 1/280*i**6 + 0*i - 1/56*i**4 - 7*i**2. Let u(p) = 0. What is p?
-2, -1, 1
Let r(q) be the first derivative of 4*q**5/25 - 11*q**4/5 + 8*q**3/3 + 2869. Factor r(c).
4*c**2*(c - 10)*(c - 1)/5
Let g be (3 - 3)/(-2 - -4). Suppose g = -2*s + 2 + 8. Suppose 5*r**s - 32*r**4 - 10*r**2 + 65*r**4 - 5*r - 23*r**4 = 0. What is r?
-1, 0, 1
Factor 547/4*r**2 - 137 - 549/4*r**3 + 1/4*r**4 + 549/4*r.
(r - 548)*(r - 1)**2*(r + 1)/4
Factor 8*u + 4*u + 19*u + 19*u + u**2 - 31 - 20*u.
(u - 1)*(u + 31)
Factor -116/13*t**3 - 24/13 - 440/13*t + 458/13*t**2.
-2*(t - 2)**2*(58*t + 3)/13
Suppose 29093*r = 29054*r + 78. Let l(n) be the first derivative of -4/7*n**3 + 23 + 0*n + 3/14*n**r. Factor l(w).
-3*w*(4*w - 1)/7
Let z = 83/90 - 7/10. Suppose -3*m = -4*m + 3. Factor 0 - 2/9*r**4 + 0*r + 0*r**m + z*r**2.
-2*r**2*(r - 1)*(r + 1)/9
Suppose -29*o + 773 = 715. Factor 0 + 2/7*y**5 + 2/7*y**3 + 0*y + 0*y**o - 4/7*y**4.
2*y**3*(y - 1)**2/7
Suppose -72 = -l - 17*l. What is n in l*n + 5*n - 132*n**2 + 35*n**4 + 27*n - 29*n**4 - 15*n**5 + 5*n**3 + 100*n**3 = 0?
-3, 0, 2/5, 1, 2
Let n be (12/(-10))/(-3*(-4)/(-30)). Suppose n*s = -3*x + 2289, 5*x - s - 3835 = -2*s. Let -768*f + x*f + 5*f**3 - 5*f**2 = 0. What is f?
0, 1
Suppose 8*h = 5*h - 4*k - 4, -3*k - 12 = 0. Factor -2730*b**2 + 2729*b**2 - h*b - 10*b.
-b*(b + 14)
Let d(n) be the second derivative of 3*n**5/20 - 7*n**4/2 + 41*n**3/2 + 84*n**2 - 129*n. Determine b, given that d(b) = 0.
-1, 7, 8
Suppose 111*z - 501 = -57. Determine s so that 0*s + 26/3*s**z + 8/3*s**2 + 0 + 56/3*s**3 = 0.
-2, -2/13, 0
Let i(z) be the third derivative of -2*z**5/15 + 7*z**4/4 + 6*z**3 - 9*z**2 + 3*z - 11. Suppose i(s) = 0. Calculate s.
-3/4, 6
Let x(c) be the third derivative of -c**6/48 - 191*c**5/24 - 475*c**4/24 - 756*c**2. What is n in x(n) = 0?
-190, -1, 0
Let a(o) be the first derivative of 102*o**5/5 + 347*o**4/8 - 727*o**3/6 + 54*o**2 + 18*o + 2952. Let a(n) = 0. What is n?
-3, -2/17, 2/3, 3/4
Let o(f) be the second derivative of f**6/240 + f**5/5 + 1509*f. Factor o(i).
i**3*(i + 32)/8
Let r = 1232 + -1236. Let g be (-1206)/(-198) - (9 + r). Factor -2/11*a**3 + g*a + 10/11*a**2 + 0.
-2*a*(a - 6)*(a + 1)/11
Let t be 5/(-2)*2410/20. Let c = 10957/36 + t. Factor c*g - 98/9 - 2/9*g**2.
-2*(g - 7)**2/9
Let j(g) be the