/5*u**2 + 2/15*u**3 - 4/15*u**4 - 13 + 1/25*u**5. What is n in s(n) = 0?
-1, 2, 3
Suppose -3*v - 42 = -90*k + 94*k, 5*v - 4*k = 58. Determine q so that 42*q**v - 6*q + 63*q**4 + 0 - 183/2*q**3 - 27/2*q**5 = 0.
0, 1/3, 2
Factor 327/4*d - 65/2 - 5/4*d**2.
-(d - 65)*(5*d - 2)/4
Let m = -194 - -191. Let f be (8/(-40))/(m/(-30)*-4). Find u, given that -1/2*u**2 - 1/2*u + f*u**3 + 1/2 = 0.
-1, 1
Let b(j) be the first derivative of 3/2*j**3 + 24 + 0*j + 3/4*j**2. Factor b(k).
3*k*(3*k + 1)/2
Let d(y) be the third derivative of 17*y**7/210 + 253*y**6/120 + 347*y**5/20 + 417*y**4/8 - 27*y**3 + 65*y**2 - 6. Suppose d(q) = 0. What is q?
-9, -3, 2/17
Let r = -175/869 - -4870/2607. What is i in 0 - 2/3*i**2 - 1/3*i**5 + 0*i - 4/3*i**4 - r*i**3 = 0?
-2, -1, 0
Suppose 5*k + 3 = 3*f - 6, -f + 4*k = -3. Suppose -25*p - 7*p = -9*p - 46. Let -8*v**2 - 2*v + 5*v**4 - 3*v + f*v**p - 5*v + 10*v**3 = 0. Calculate v.
-2, -1, 0, 1
Let j be (-8)/(-1584)*-1191 + 21/3. Let g = j - 7/22. Factor 0*y**2 + 2*y - g*y**3 + 4/3.
-2*(y - 2)*(y + 1)**2/3
Let b(m) = -135*m**3 - 2780*m**2 + 520*m + 2780. Let c(s) = -5*s**3 - 103*s**2 + 19*s + 103. Let a(r) = -2*b(r) + 55*c(r). Factor a(p).
-5*(p - 1)*(p + 1)*(p + 21)
Let q = 7767/27290 - -42/2729. Determine u so that -1/10 + q*u**4 - 3/10*u + 1/5*u**3 - 1/5*u**2 + 1/10*u**5 = 0.
-1, 1
Let n(u) = -2*u - 1. Suppose 11*p - 10 = 16*p. Let s be n(p). Factor -52*y**2 - 48*y - 9*y**4 - 24*y**s + 6*y**4 - y**4 - 16.
-4*(y + 1)**2*(y + 2)**2
Let h be 24 - 880/77 - 9. Let v be (-2)/(10/(5/(-5)) + -4). Find a such that -h - 10/7*a - v*a**2 = 0.
-5
Let q(r) = 20*r**3 - 44*r + 24. Let a(z) = 7*z**3 - 15*z + 8. Suppose 0 = 3*x + 4*v - 8, -x - 5*v - 44 = -4*x. Let b(g) = x*a(g) - 3*q(g). Factor b(c).
-4*(c - 1)**2*(c + 2)
Suppose 3*a + 32 = 6*a + 4*l, 4*a - 3*l = 76. Let t be (-4)/(-35)*-4*(-40)/a. Let t*k**2 + 6/7*k - 36/7 - 2/7*k**3 = 0. Calculate k.
-2, 3
Let n(w) be the first derivative of 3*w**5/25 - 3*w**4/2 + 23*w**3/5 + 3*w**2 - 72*w/5 + 811. Suppose n(s) = 0. Calculate s.
-1, 1, 4, 6
Let p(m) be the third derivative of m**9/12096 - m**8/3360 + m**6/720 - m**5/480 + 29*m**3/3 - 45*m**2. Let l(b) be the first derivative of p(b). Factor l(r).
r*(r - 1)**3*(r + 1)/4
Let f be (-20*15/(-450))/(4/9). What is a in -f*a**3 + 0*a**2 + 3/4*a**4 + 0*a + 0 = 0?
0, 2
Suppose -3*j + 14*z = 9*z - 17, 3*j - 11 = -z. Let s(w) = -10*w**2 + 650. Let x(i) = -i**2 + 72. Let y(n) = j*s(n) - 35*x(n). Let y(p) = 0. Calculate p.
-4, 4
Let g = 6855/11 - 623. Suppose -4*i - 3*r + 5 = 0, 3*r + 13 = -4*i + 9*i. Suppose 0*v - g*v**3 - 4/11*v**4 + 4/11*v**i + 0 + 2/11*v**5 = 0. What is v?
-1, 0, 1, 2
Let a = 1048 - -534. Find i such that -97*i + 1080*i**2 + 1001 - 191 + a*i + 390*i**3 + 5*i**5 + 70*i**4 = 0.
-3, -2
Let u(n) be the first derivative of 5*n**3/3 + 715*n**2/2 - 2940*n + 3465. What is v in u(v) = 0?
-147, 4
Let f be (-1302)/(-7378) - (-21)/(-119). Factor -2/21*y**4 + 16/21*y**2 + 2/21*y**3 - 8/7*y + f.
-2*y*(y - 2)**2*(y + 3)/21
Suppose 5*f + 26 - 75 = 2*i, -5*f - 86 = 3*i. Let x(o) = -o**3 - 49*o**2. Let b(j) = -6*j**3 - 342*j**2. Let r(m) = i*x(m) + 4*b(m). Factor r(v).
3*v**2*(v - 15)
Let t(i) be the first derivative of 26*i**3/15 - 176*i**2/5 - 168*i/5 + 1883. Factor t(s).
2*(s - 14)*(13*s + 6)/5
Let b(n) be the first derivative of 3*n**4/4 + 9*n**3 - 96*n**2 + 252*n + 1510. Solve b(c) = 0 for c.
-14, 2, 3
Find x such that 162/7*x - 164/7 + 2/7*x**2 = 0.
-82, 1
Find w such that -3*w**3 + 11*w**3 + 322*w**2 + 103 + 323*w + 36 + 365*w + 13 = 0.
-38, -2, -1/4
Let m(l) be the first derivative of l**8/336 - l**7/105 - l**6/90 + l**3 - 7*l + 55. Let d(h) be the third derivative of m(h). Factor d(p).
p**2*(p - 2)*(5*p + 2)
Let z(r) = -2*r**2 + r + 2. Let f(b) = -3*b**2 + 120*b + 122. Let t(d) = 2*f(d) - 2*z(d). Factor t(m).
-2*(m - 120)*(m + 1)
Let -288 + 1/4*f**3 + 168*f - 25/2*f**2 = 0. What is f?
2, 24
Let p(h) = h - 2. Let s be p(4). Let t be ((-16)/104)/(4*1/(-13)). Factor -t*u**s + 2*u - 2.
-(u - 2)**2/2
Let i(v) be the second derivative of -v**4/30 - 11*v**3/5 - 18*v**2 - v + 25. Factor i(l).
-2*(l + 3)*(l + 30)/5
Let b(p) be the first derivative of -p**4 - 32*p**3/3 - 24*p**2 + 200. Find c such that b(c) = 0.
-6, -2, 0
Let u(q) = -5*q**3 - 15*q**2 - 20*q - 10. Let s(d) = 5*d**3 + 16*d**2 + 21*d + 10. Let c(j) = 5*s(j) + 4*u(j). Factor c(i).
5*(i + 1)**2*(i + 2)
Suppose -4 = 4*j, -2*l = -5*j - 27 + 16. Let b(d) = -d**2 + 8*d - 5. Let a be b(4). Factor -138*i**3 + 147*i**3 + a*i**4 - 2*i**2 + l*i**2 - i + 4*i**5.
i*(i + 1)**3*(4*i - 1)
Suppose -y - y = 8, -3*v = y - 5. Suppose 5*f - 8*i + v*i = 0, 3*f + 5*i = 32. Factor -8*u + 154*u**2 + f*u**3 - 72*u**2 - 78*u**2.
4*u*(u - 1)*(u + 2)
Let t be -6*1/51*-4. Let f be (2 + 256/(-170))/(-33 - 2352/(-70)). Find j, given that -t*j**2 + 8/17 - f*j + 14/17*j**3 = 0.
-1, 4/7, 1
Factor 457*o**2 - 295*o**2 + 228 - 142*o**2 + 248*o.
4*(o + 1)*(5*o + 57)
Let k(o) be the second derivative of 13/4*o**4 + 0 - 1/10*o**6 + 173*o + 6*o**3 + 0*o**5 + 0*o**2. Let k(t) = 0. Calculate t.
-3, -1, 0, 4
Let w = 3353 + -3347. Let k(g) be the third derivative of 1/2016*g**8 + g**2 + 0*g + 1/180*g**5 + 0*g**3 + 0 - 1/720*g**w + 0*g**4 - 1/630*g**7. Factor k(z).
z**2*(z - 2)*(z - 1)*(z + 1)/6
Suppose 17*v = -1574 - 2829. Let o = v - -259. What is c in 4/9*c - 8/9*c**4 + 0 - 4/3*c**3 + o*c**2 = 0?
-1, 0, 1/2
Let t(k) be the third derivative of k**3 + 27*k**2 - 7/12*k**4 + 0*k - 1/1260*k**6 + 1/30*k**5 + 0. Let r(a) be the first derivative of t(a). Factor r(l).
-2*(l - 7)**2/7
Let h = -21718 - -21722. Let u(t) be the second derivative of -49*t**2 - 1/24*t**h - 3*t + 7/3*t**3 + 0. Factor u(w).
-(w - 14)**2/2
Find o, given that -22*o**5 + 51840*o - 865*o**3 - 31513*o**2 + 157*o**4 + 49*o**5 - 40*o**3 - 26*o**5 + 6664*o**3 - 26244 = 0.
-81, 1, 2
Let m be 128/8*1/2. Let n be 7/(-21)*45*(-1)/m. Factor -n*c + 3/8*c**2 + 9/4.
3*(c - 3)*(c - 2)/8
Let j(g) be the second derivative of g**6/40 - 117*g**5/40 + 1441*g**4/16 + 390*g**3 + 600*g**2 + 3*g - 110. Let j(k) = 0. Calculate k.
-1, 40
Let c be (-748)/(-32) + 21/(-56). Determine t, given that -6*t**2 - 4*t**3 + c*t + 2*t**3 - 3*t = 0.
-5, 0, 2
Let q(v) be the second derivative of v**4/72 - 439*v**3/9 + 192721*v**2/3 + v + 2188. Factor q(c).
(c - 878)**2/6
Let l = 49 - 76. Let q = 32 + l. Solve -q*d + 9 + d**2 + 3 - 6 = 0.
2, 3
Factor 0 - 286/7*q**3 - 580/7*q**2 + 0*q + 2/7*q**4.
2*q**2*(q - 145)*(q + 2)/7
Let u(l) be the second derivative of l**4/72 - 13*l**3/18 - 10*l**2 - 3269*l. What is y in u(y) = 0?
-4, 30
Let n(y) = 1163*y + 8143. Let o be n(-7). Factor 4/5*u + 8/5 - 4/5*u**o.
-4*(u - 2)*(u + 1)/5
Suppose -15*g**3 - 654*g**2 + 7*g**3 + 149*g**2 + 3*g**3 + 310*g + 720*g = 0. Calculate g.
-103, 0, 2
Solve 9881 - 4968 - 876*y - 303*y**2 - 27*y**3 - 5093 = 0 for y.
-6, -5, -2/9
Let l(r) be the first derivative of -8/35*r**5 + 1/21*r**6 + 38 - 1/14*r**4 + 8/21*r**3 + 0*r + 0*r**2. Determine v, given that l(v) = 0.
-1, 0, 1, 4
Let z = 250 - 358. Let p be (z/16)/9*-4. Factor -7*q**5 + 9*q**4 - 5*q**4 - 2*q**p + 8*q**4 - 2*q**2 - q**3.
-q**2*(q - 1)**2*(7*q + 2)
Let r be (-4)/10 + 286/65. Factor -186*h**3 - 5*h**2 + 45*h + 5*h**r + 141*h**3 + 0*h**4.
5*h*(h - 9)*(h - 1)*(h + 1)
Let l(g) be the third derivative of -g**7/840 - 7*g**6/40 - 473*g**5/240 - 65*g**4/16 - 521*g**2. Let l(f) = 0. What is f?
-78, -5, -1, 0
Factor -6/5 - 2/5*r**3 - 14/5*r - 2*r**2.
-2*(r + 1)**2*(r + 3)/5
Let t = -221 + 256. Let 40*h - 30*h**2 - 100 - 5*h + t*h**2 - 24*h + 84*h = 0. Calculate h.
-20, 1
Factor 0 + 2/11*p**4 + 590/11*p**2 - 298/11*p**3 - 294/11*p.
2*p*(p - 147)*(p - 1)**2/11
Factor -3/8*x**2 - 435/8*x + 0.
-3*x*(x + 145)/8
Let v(u) be the first derivative of u**4/12 + 3*u**3/2 + 85*u**2/12 + 6*u + 2680. Factor v(k).
(k + 4)*(k + 9)*(2*k + 1)/6
Let m(r) be the second derivative of -5*r**7/126 + 7*r**6/9 - 13*r**5/12 - 35*r**4 - 90*r**3 + 3*r - 80. Find v, given that m(v) = 0.
-2, 0, 9
Let v be 2/(-29) + (-163520)/(-487200). Determine q, given that 2 + 16/15*q**2 - 64/15*q - 14/15*q**4 + 12/5*q**3 - v*q**5 = 0.
-5, -3/2, 1
Let l(a) be the first derivative of -a**8/168 - 5*a**7/56 - a**6/3 + 2*a**5/3 - 10*a**3/3 + 24. Let w(x) be the third derivative of l(x). Factor w(y).
-5*y*(y + 4)**2*(2*y - 1)
Suppose 