e t.
-2, -1, 0, 2
Let d(b) = 2*b**3 + 11*b**2 + 69*b + 13. Let v be d(-9). Let f = -1172 - v. Factor 1/8*q**f + 0*q + 0 - 1/8*q**2.
q**2*(q - 1)/8
Let j(u) = -u**3 + 10*u**2 + 28*u - 331. Let q be j(9). Factor -14/5 + 1/5*b**q - b.
(b - 7)*(b + 2)/5
Find a such that -2*a**4 - 78 - 82 + 19*a**2 - 24*a**3 - 4*a + 11*a**3 + 143*a**2 + 17*a**3 = 0.
-8, -1, 1, 10
Suppose -o - w + 0 = -28, 55 = 2*o + 3*w. Let n = o + -17. Factor -6*a**2 - 3*a**4 - 7 + 3*a - 18*a**3 + 16 + n*a + 3*a**5.
3*(a - 3)*(a - 1)*(a + 1)**3
Let c(g) be the second derivative of g**6/75 + 13*g**5/50 - 23*g**4/15 + 32*g**3/15 - 712*g. Determine f so that c(f) = 0.
-16, 0, 1, 2
Factor -60/7 - 95/7*t**2 + 31/7*t**4 - 152/7*t + 27/7*t**3 + 1/7*t**5.
(t - 2)*(t + 1)**3*(t + 30)/7
Factor 5*p**3 - 15*p**2 - 1445*p + 200 - 533 - 237 - 855.
5*(p - 19)*(p + 1)*(p + 15)
Let v(p) be the third derivative of -p**6/240 - 2*p**5/5 - 135*p**4/16 + 729*p**3/2 + p**2 + 269. Factor v(j).
-(j - 6)*(j + 27)**2/2
Let v(y) be the first derivative of -y**6/6 + 13*y**5/5 - 23*y**4/2 + 16*y**3 - 244. Suppose v(t) = 0. Calculate t.
0, 2, 3, 8
Let x(m) be the second derivative of m**4/12 + 6*m**3 + 34*m**2 + 29*m + 2. Solve x(q) = 0 for q.
-34, -2
Factor 195 - 1/4*i**2 + 779/4*i.
-(i - 780)*(i + 1)/4
Let y be (-8878)/(-257462) + 222/290. Suppose -1 = 5*u - 11. Factor 1/5*o**u - y + 3/5*o.
(o - 1)*(o + 4)/5
Let c(u) = -u**2 + 4*u - 2. Let x be c(2). Suppose 0 = 3*k - x*o - 11, -3*k - k + 9 = 3*o. Find j such that -7*j**3 - 27*j**2 + 3*j**k - 8*j + 15*j**2 = 0.
-2, -1, 0
Let d = 176048 - 1056281/6. Factor 2/3 - 4/3*o**3 + 1/6*o**5 - 1/3*o**2 + d*o - 1/3*o**4.
(o - 4)*(o - 1)*(o + 1)**3/6
Let o(b) = -3*b**3 - 2*b. Let p(f) = -30*f**3 + 658*f**2 + 35838*f - 24200. Let h(x) = 33*o(x) - 3*p(x). Let h(w) = 0. Calculate w.
-110, 2/3
Determine q, given that 2/13*q**3 + 114/13*q**2 + 112/13*q + 0 = 0.
-56, -1, 0
Let m(u) be the second derivative of -u**6/50 + 234*u**5/25 - 5254*u**4/5 - 51792*u**3 - 826680*u**2 - 234*u + 2. Factor m(d).
-3*(d - 166)**2*(d + 10)**2/5
Let i(r) be the second derivative of r**4/48 + r**3/8 - 119*r**2/4 - 1955*r. Factor i(f).
(f - 14)*(f + 17)/4
Let c(r) be the first derivative of -r**4/4 + 23*r**3/3 - r**2/2 + 25*r - 23. Let q be c(23). Factor 31 - 1073*f + 9 - 10*f**q - 5*f**3 + 1093*f.
-5*(f - 2)*(f + 2)**2
Let z(v) be the first derivative of 2*v**3/15 + 3*v**2 + 20*v - 981. Factor z(k).
2*(k + 5)*(k + 10)/5
Suppose 3 + 38 - 223*f**3 - 104*f**2 - 1030*f + 203*f**3 - 246 - 741*f**2 = 0. What is f?
-41, -1, -1/4
Let i(u) = 60*u**3 + 232*u**2 + 224*u + 32. Let l(k) = -112*k**3 - 463*k**2 - 449*k - 63. Let y(a) = 7*i(a) + 4*l(a). Factor y(q).
-4*(q + 1)*(q + 7)*(7*q + 1)
Let t(v) be the third derivative of 0 + 0*v**3 - 7/15*v**6 + 0*v**4 + 0*v + 2/105*v**7 - 26*v**2 + 49/15*v**5. Suppose t(q) = 0. What is q?
0, 7
Let s = 117463/70485 + 4/23495. Suppose 0 - 2*y - s*y**2 + 1/3*y**3 = 0. What is y?
-1, 0, 6
Let u(n) be the second derivative of n**5/90 - 2*n**4/9 - n**3/27 + 4*n**2/3 + 12*n + 4. Factor u(b).
2*(b - 12)*(b - 1)*(b + 1)/9
Let p(t) = 12*t**3 - 37*t**2 - 105*t - 134. Let f(l) = -2*l**3 + l**2 - l + 2. Let n(k) = 14*f(k) + 2*p(k). Solve n(j) = 0.
-10, -3, -2
Let i = 205626 + -205624. Solve 169/3 - 26/3*s + 1/3*s**i = 0.
13
Let d(k) be the second derivative of -k**7/56 - 3*k**6/10 - 6*k**5/5 - 5656*k. Factor d(j).
-3*j**3*(j + 4)*(j + 8)/4
Let z(q) be the third derivative of q**7/420 - q**6/20 + q**5/6 - 12*q**2 + 2. Let z(s) = 0. Calculate s.
0, 2, 10
Let l(x) be the third derivative of -5*x**8/1008 + x**7/126 + x**6/9 - x**5/3 + 23*x**2 + 7. Factor l(v).
-5*v**2*(v - 2)**2*(v + 3)/3
Let x(o) be the third derivative of -1/132*o**4 + 0 + 1/110*o**5 - 87*o**2 - 2/33*o**3 - 1/1155*o**7 + 0*o + 1/660*o**6. Suppose x(m) = 0. Calculate m.
-1, 1, 2
Let s(y) = -4*y - 51. Let g be s(-22). Let -6*i**3 + 108 - 68*i + 24*i**4 - 69*i**3 + 252*i**2 - 202*i - g*i**3 - 2*i**5 = 0. What is i?
1, 2, 3
Let l(p) = 3558*p**2 - 12*p - 7. Let y be l(4). Factor -28*b**3 - 41*b - 67*b - 36*b - y - 120*b**2 + 56841.
-4*(b + 2)**2*(7*b + 2)
Find w such that -3*w**2 - 280 - 58 + 182 + 51*w + 119*w - 11*w = 0.
1, 52
Let g(w) be the third derivative of -w**5/60 + 11*w**3/6 - 26*w**2. Let f be g(-3). What is z in -2*z**f + 4/3*z + 2*z**4 - 8/3*z**3 + 4/3*z**5 + 0 = 0?
-2, -1, 0, 1/2, 1
Let c = 1581 - 1581. Let m(h) be the second derivative of -10*h + 4/27*h**3 + 0*h**2 + c + 2/27*h**4 + 1/90*h**5. Solve m(o) = 0 for o.
-2, 0
Let y be ((-4)/48 + 7/84)/(-3). Let c(s) be the second derivative of y*s**2 + 0 + 9*s - 2/3*s**3 + 3/2*s**4. Solve c(r) = 0.
0, 2/9
Let x be 20/(-100)*(11 + -9 - 12). Factor 0 - 18/5*q + 17/5*q**x + 1/5*q**3.
q*(q - 1)*(q + 18)/5
Suppose -3*r + 648 = -5*r. Let n = -321 - r. Suppose 0 - 2/7*h**4 - 6/7*h**n - 4/7*h**2 + 0*h = 0. Calculate h.
-2, -1, 0
Let w(t) be the first derivative of t**5/15 - t**4/6 - t**3/3 + 2233. Let w(s) = 0. Calculate s.
-1, 0, 3
Let n(k) be the third derivative of k**6/8 - 355*k**5/12 + 2345*k**4/24 - 195*k**3/2 - 1817*k**2. Suppose n(y) = 0. Calculate y.
1/3, 1, 117
Let d = 2041/1366 + 4/683. Let n(a) = a**2 - 8*a - 7. Let k be n(9). Factor 0 + d*h**k + 0*h.
3*h**2/2
Let z be (11 - (-35 + 52))*(-2)/3. Let i(r) be the first derivative of 9*r + 9/2*r**z + 3/5*r**5 + 15*r**2 + 27 + 12*r**3. Factor i(c).
3*(c + 1)**3*(c + 3)
Suppose 2885*j**2 - 6270*j**2 - 738*j**4 - 37*j**5 - 25585*j - 6800*j**3 + 158*j**4 + 22*j**5 - 8670 - 19765*j**2 = 0. What is j?
-17, -3, -1, -2/3
Let v(n) = 6*n**2 - 6*n + 5. Let s(m) = -3*m**2 + 3*m - 3. Let h = 90 - 87. Let a(p) = 6*p**2 - p. Let u be a(1). Let g(c) = h*v(c) + u*s(c). Factor g(i).
3*i*(i - 1)
Suppose -835*l = -827*l + 16. Let z(c) = -17*c**3 - 21*c**2 + 126*c - 243. Let o(q) = 2*q**3 + q. Let g(r) = l*z(r) - 18*o(r). Suppose g(v) = 0. Calculate v.
3, 9
Let v(o) be the third derivative of -o**5/240 - 11*o**4/48 - 5*o**3/3 - 7*o**2 - 4*o - 3. Find m such that v(m) = 0.
-20, -2
Let p = -6305 - -6353. Determine d, given that 1/3*d**2 + p - 8*d = 0.
12
Suppose 2*b - 18 = -4*b. Suppose x = -5, -x = -b*g - 6*x - 16. Determine z, given that -z + 16*z - 270 - 5*z**g + 260 = 0.
-2, 1
Let n(o) = 8*o - 59. Let q be n(8). Suppose 34 = b - 5*f, 30 + 60 = 5*b - q*f. Solve -g**2 + 180*g - b - 94*g - 95*g = 0 for g.
-7, -2
Factor 160 + 1/4*o**4 + 9/4*o**3 - 72*o - 19/2*o**2.
(o - 5)*(o - 2)*(o + 8)**2/4
Let r(g) be the first derivative of -2/5*g**5 - 400*g**3 - 164 - 4000*g**2 - 20000*g - 20*g**4. Find l such that r(l) = 0.
-10
Let -1613*i + 872 + 440 + 175*i - 10*i**2 - 194*i = 0. What is i?
-164, 4/5
Let k(s) = s**3 - 11*s**2 - 832*s + 6850. Let d be k(8). Determine q, given that -2/5*q**d - 28/5 + 18/5*q = 0.
2, 7
Let r(t) be the third derivative of t**8/1680 - t**7/840 - t**6/180 + 29*t**3/2 + 63*t**2. Let l(k) be the first derivative of r(k). Factor l(j).
j**2*(j - 2)*(j + 1)
Let q(m) be the third derivative of 0*m - 9/280*m**7 + 0 + 9/80*m**5 + 1/32*m**4 - 1/160*m**6 + 54*m**2 + 0*m**3. Suppose q(n) = 0. Calculate n.
-1, -1/9, 0, 1
Suppose 9*c = -16*c + 450. Let o = 0 + 2. Factor 2*y**2 + 7 + 9*y**4 + c*y + 25*y**2 - 48*y**3 - 31 + 18*y**o.
3*(y - 4)*(y - 1)**2*(3*y + 2)
Let o = 296 + -298. Let h(g) = 72*g**2 + 3*g + 51. Let x(i) = -7*i**2 - 5. Let v(u) = o*h(u) - 21*x(u). What is c in v(c) = 0?
1
Let x(d) = -112*d + 35954. Let k be x(321). What is s in 0 + 1/2*s**2 + 1/4*s**3 - k*s = 0?
-4, 0, 2
Let 86127 - 114*x**2 - 3*x**4 - 72*x - 45*x**3 - 86127 = 0. What is x?
-12, -2, -1, 0
Suppose -680*o**3 + 1171*o**2 + 706*o**2 - 1937*o**2 - 60*o**5 + 475*o**4 = 0. Calculate o.
-1/12, 0, 2, 6
Determine y so that -277/4*y**2 - 551/4*y - 275/4 - 1/4*y**3 = 0.
-275, -1
Let r(h) = -305*h**4 + 650*h**3 - 17435*h**2 - 37210*h + 25. Let z(n) = -12*n**4 + 2*n**3 - 2*n**2 + 1. Let v(m) = -r(m) + 25*z(m). Factor v(y).
5*y*(y - 61)**2*(y + 2)
Let n(t) = 372*t + 10421. Let s be n(-28). Determine p, given that 45/2*p**3 + 0*p**2 + 3/4*p**s + 15/2*p**4 - 243/2 - 405/4*p = 0.
-3, 2
Let q(f) be the second derivative of -5*f**4/12 - 35*f**3/3 - 225*f**2/2 - 49*f - 2. Factor q(x).
-5*(x + 5)*(x + 9)
What is l in -l**2 + 31/4 - 123/4*l = 0?
-31, 1/4
Suppose 5 = y + 4*g, -2*g = y + g - 7. Factor t**4 + 14*t**3 + 286 - 576 + 290 + y*t**2.
t**2*(t + 1)*(t + 13)
