(-4). Suppose -4*r = -i*w - 0*r + 26, 3*w = -3*r - 9. What is f in -4/3*f - 2*f**w + 2/3*f**4 + 0 + 0*f**3 = 0?
-1, 0, 2
Let m(q) be the third derivative of 1/4*q**4 + 0 + 2*q + 0*q**3 - 13/30*q**5 + 59/240*q**6 - 1/32*q**8 + 6*q**2 + 1/210*q**7. Determine g, given that m(g) = 0.
-2, 0, 3/7, 2/3, 1
Let p = 6204109/7 + -886301. Factor 0*y + p*y**3 + 0 - 92/7*y**2.
2*y**2*(y - 46)/7
Let w(t) be the second derivative of t**7/2016 - 7*t**6/288 + t**5/4 - 5*t**4/4 + 3*t**2/2 + 24*t + 2. Let h(a) be the third derivative of w(a). Factor h(p).
5*(p - 12)*(p - 2)/4
Let l = -331 - -335. Suppose 5 = 3*k - 4*i - 0, l*k - 8 = 4*i. Factor -3*c + 1/2*c**k + 5/2*c**2 + 0.
c*(c - 1)*(c + 6)/2
Let q(i) = -30*i**2 - 610*i + 1855. Let u(x) = -5*x**2 - 102*x + 309. Let d(r) = -6*q(r) + 35*u(r). What is g in d(g) = 0?
-21, 3
Let p be (-3 + 29/5)/(67/(32830/343)). Determine b so that 35/2*b**3 + 10/3*b**p - 35/2 - 505/6*b - 105/2*b**2 = 0.
-7, -1, -1/4, 3
Let f be 4119/306 + 1238/31569. Determine j so that -f*j**2 - 1/4*j**3 - 1458 - 243*j = 0.
-18
Let f(p) = -42*p**2 + 173*p - 20. Let k be f(4). Let l(t) be the third derivative of -1/15*t**5 + t**4 + 0*t + 0 - 8*t**2 + k*t**3. Factor l(s).
-4*s*(s - 6)
Let b be 15/(-65) - 14546/1638. Let i = 610/63 + b. Factor -i*o + 0 + 8/7*o**2 - 4/7*o**3.
-4*o*(o - 1)**2/7
Let w(m) = -94*m**2 - 1140*m - 144. Let b be w(-12). Factor b + 7/9*l + 1/9*l**2.
l*(l + 7)/9
Let p be 15 + 56 + 1*-1. Suppose -5*a = -p + 5. Factor 24 - 9 - 7*i**3 + 35*i**2 - a*i**3 + 70*i.
-5*(i - 3)*(i + 1)*(4*i + 1)
Solve -236/9 + 2/9*h**2 + 26*h = 0 for h.
-118, 1
Let y(g) be the first derivative of -4*g**6/15 + 158*g**5/25 - 16*g**4/5 - 938*g**3/15 - 114*g**2/5 + 1406. Suppose y(l) = 0. Calculate l.
-2, -1/4, 0, 3, 19
Let p(h) be the third derivative of -17/20*h**5 + 0*h - 1/40*h**6 - 90*h**3 + 83 + 2*h**2 - 12*h**4. Factor p(s).
-3*(s + 5)*(s + 6)**2
Suppose 30*u = 26*u + 16. Suppose -u*x + 5*c - 5 = 0, -c + 1 = -5*x + 4*x. Let x - 5/2*g + 1/2*g**2 = 0. What is g?
0, 5
Factor 0 + 2/9*i**4 + 8/3*i**3 + 28/3*i + 82/9*i**2.
2*i*(i + 2)*(i + 3)*(i + 7)/9
Let v(n) = -30*n**2 - 9194*n + 14168. Let a be v(-308). What is w in a*w + 1/11*w**5 - 46/11*w**4 + 52*w**3 + 0 - 88*w**2 = 0?
0, 2, 22
Suppose 0 = -9*z + 22 - 4. Determine d, given that -16*d**z - 9*d**2 - 3*d**2 + 0*d**2 - 48*d - 4*d**3 = 0.
-4, -3, 0
Let z(b) = -76*b + 400. Let q(c) be the third derivative of 0 - 200/3*c**3 + 0*c - 32*c**2 - 1/60*c**5 + 77/24*c**4. Let h(x) = 4*q(x) + 3*z(x). Factor h(l).
-4*(l - 10)**2
Suppose -10*q = 3*q. Find j such that 5*j**5 - j**4 + 7*j**4 + 30*j**2 - 6*j**4 - 35*j**3 + q*j**5 = 0.
-3, 0, 1, 2
Let h = 100474/5 + -20092. Suppose 3*g - 5*i + 4 = -15, -i + 3 = -g. Determine s so that -16/5*s**g + 12/5*s**3 + 2/5*s**4 - 12/5*s + h = 0.
-7, -1, 1
Let x(y) be the second derivative of 5*y**7/21 + 19*y**6/15 - 49*y**5/10 - 71*y**4/6 + 116*y**3/3 - 20*y**2 - 58*y + 2. Suppose x(o) = 0. What is o?
-5, -2, 1/5, 1, 2
Suppose 0 = -8*b - 83 + 123. Let v be 2*(22/(-4) + b) + 1. Factor v*s - 1/8 + 1/8*s**2.
(s - 1)*(s + 1)/8
Let q be -1*(-6677)/(-396) - -17. Let v(c) be the second derivative of 7/72*c**4 - q*c**3 + 0 + 1/12*c**2 - 1/40*c**5 - 3*c. Factor v(m).
-(m - 1)**2*(3*m - 1)/6
Suppose m = o + 4, 60*o = -m + 58*o + 16. Let a be 12*(-30)/65 + m. Factor -24/13 + 6/13*d**2 - a*d.
2*(d - 6)*(3*d + 2)/13
Let u(n) be the first derivative of 0*n + 0*n**2 + 3/35*n**5 + 3/7*n**4 - 5/7*n**3 - 67. Determine f, given that u(f) = 0.
-5, 0, 1
Suppose 123*h - 9 = -9. Let c(j) be the first derivative of 1/2*j**3 + 8 - 3/2*j**2 + h*j + 3/8*j**4. Factor c(p).
3*p*(p - 1)*(p + 2)/2
Find t such that -263/2*t**2 + 100*t + 22 - 88*t**3 = 0.
-2, -2/11, 11/16
Let m(c) = 2*c**2 + 2*c + 1. Let u(a) be the first derivative of 7*a**3/3 + 44*a**2 - 1596*a - 117. Let k(l) = -12*m(l) + 3*u(l). Let k(r) = 0. Calculate r.
40
Suppose 28 = -5*h + 53. Factor -h*t**3 + 15*t**2 + 18*t - 2*t**3 - 7*t**3 + 11*t**3.
-3*t*(t - 6)*(t + 1)
Let k = 179 + -330. Let c = k + 153. Factor -4*i**2 + 65 + i**3 - 17 - 32*i + 5*i**3 - c*i**3.
4*(i - 2)**2*(i + 3)
Let l(g) be the second derivative of g**5/40 + 7*g**4/6 - 55*g**3/4 - 197*g. Factor l(x).
x*(x - 5)*(x + 33)/2
Let z be (-1 - 17/255*-24)*2/3. Factor -z*a**2 + 8/5 + 0*a.
-2*(a - 2)*(a + 2)/5
Factor -55516 + 8*q**2 + 140*q + 55051 - 3*q**2.
5*(q - 3)*(q + 31)
Let b be (-1 - -4)*((-7744)/432 + 18). Factor 2/9*q**5 + 0 - 2/9*q**4 - b*q**3 + 0*q + 2/9*q**2.
2*q**2*(q - 1)**2*(q + 1)/9
Solve 4/7*r**2 + 428*r - 6008/7 = 0 for r.
-751, 2
Let t(i) be the third derivative of -i**6/120 - i**5/6 - 3*i**4/8 + 852*i**2. What is p in t(p) = 0?
-9, -1, 0
Let m(k) = -k - 46. Let a be m(0). Let r = 48 + a. Solve -3*t**r - 8 + 5*t - 11*t + 5*t**2 = 0 for t.
-1, 4
Let l(c) = c**2 - 61*c - 152. Let h(u) = -27*u. Let d(x) = 5*h(x) - l(x). Let d(b) = 0. What is b?
-76, 2
Let h(v) = 5*v + 0 - 7 - 8*v. Let z be h(-5). Factor -k**3 - 6*k**2 - 1 + z*k**2 + 1.
-k**2*(k - 2)
Let i be 2/(-5) - (-4)/(40/(-49)). Let s = -351/70 - i. Factor 1/7*d**2 - 3/7 + s*d.
(d - 1)*(d + 3)/7
Let p(m) be the third derivative of 24*m**7/35 - 97*m**6/30 - 58*m**5/15 + 122*m**4/3 - 112*m**3/3 + 4*m**2 - 2*m + 167. Let p(c) = 0. Calculate c.
-14/9, 1/4, 2
Let b be (4/(-42))/(78 - 559168/7168). Factor 0*f + 2/3*f**3 - b*f**2 + 0.
2*f**2*(f - 16)/3
Let f be ((-183)/(-42) + 1155/(-210))/(48/(-56)). Factor -f*g + 0 + 0*g**2 + 1/3*g**3.
g*(g - 2)*(g + 2)/3
Let i(p) be the second derivative of -p**5/5 - 136*p**4 - 36992*p**3 - 5030912*p**2 - 1136*p. Find z, given that i(z) = 0.
-136
Let d(w) = -w - 7. Let a be d(-13). Factor o + a*o + o + 6*o - 5*o**2 - o**3.
-o*(o - 2)*(o + 7)
Let o(u) be the first derivative of u**4/2 - 38*u**3 + 315*u**2 - 918*u - 362. Factor o(a).
2*(a - 51)*(a - 3)**2
Let i = 6126 + -18374/3. Suppose -14 = -5*k + 1. Factor -8/3*l**k + 4/3 + 4/3*l + i*l**5 - 8/3*l**2 + 4/3*l**4.
4*(l - 1)**2*(l + 1)**3/3
Let b(l) be the third derivative of -2*l**7/105 - l**6/6 - 4*l**5/15 - l**2 + 199. Solve b(s) = 0 for s.
-4, -1, 0
Let y(s) be the first derivative of -s**4/12 + 19*s**3/9 - 8*s**2/3 - 12*s - 5498. Determine h, given that y(h) = 0.
-1, 2, 18
Let o be 17 - (-7 - (-1 + -6)). Suppose -3*g - 2*t = -o, -3 = 4*g - g - 3*t. Factor 0*k + 0 + 8/9*k**2 + 4/9*k**g.
4*k**2*(k + 2)/9
Let l(t) = -8*t**4 - t**2 - 4*t - 1. Let w(q) = 33*q**4 + 598*q**3 + 118804*q**2 + 7760016*q - 15999996. Let p(h) = -4*l(h) - w(h). Factor p(c).
-(c - 2)*(c + 200)**3
Let h(m) = -4*m**3 + 54*m**2 + 63*m + 408. Let z be h(15). Factor -2 - 38/9*l - 2/9*l**z - 22/9*l**2.
-2*(l + 1)**2*(l + 9)/9
Suppose -1164*s**2 - 212*s**3 + 359 + 395 - 8*s**4 + 304 - 526 - 428*s = 0. What is s?
-19, -7, -1, 1/2
Let c be 3 + (10/(-8) - 175/105). Let o(i) be the first derivative of -7 + 3/4*i**2 - 9/4*i - c*i**3. Factor o(j).
-(j - 3)**2/4
Let j = 105432 - 105430. Let u = 4 - -1. Factor 2*r**4 - 5/2*r + 1/2*r**u - r**j - 1 + 2*r**3.
(r - 1)*(r + 1)**3*(r + 2)/2
Let b = 32 - 57. Let j be (-40)/b*35/2. Find y such that j*y**2 - 8*y**3 + 30*y**2 + 32 - 144*y + 8*y**2 = 0.
1/4, 4
Let z be ((-60)/(-9))/(-4) + (-3)/9. Let d be 1936/112 - z/(-7). Solve 5*i**3 - d*i**3 - 7*i**4 + 11*i**4 + 8*i**2 = 0 for i.
0, 1, 2
Let c = 429 + -424. Solve 20*a + 61*a**3 + 1483*a**5 - 4*a - 29*a**2 + 148*a**4 + a**2 - 1513*a**c - 167*a**3 = 0 for a.
-2/5, 0, 1/3, 1, 4
Let b = 11829 - 11829. Let y(u) be the second derivative of 1/30*u**5 - 9*u + b*u**2 + 0*u**3 + 0 - 1/18*u**4. What is v in y(v) = 0?
0, 1
Let h be 9093/23382 + 39/108 + 1/(-4). Factor -35/2*w + 8*w**2 + 9 + h*w**3.
(w - 1)**2*(w + 18)/2
Determine b, given that -20/3*b**5 + 34/3*b**2 - 343/3*b**4 + 0 - 49/3*b**3 + 0*b = 0.
-17, -2/5, 0, 1/4
Factor 0 + 9/2*b**2 - 357/2*b.
3*b*(3*b - 119)/2
Let i(b) = 10*b**4 + 62*b**3 + 136*b**2 + 108*b + 8. Let p(g) = -20*g**4 - 124*g**3 - 271*g**2 - 215*g - 18. Let j(f) = -7*i(f) - 4*p(f). Factor j(k).
2*(k + 2)**3*(5*k + 1)
Suppose -97*h = -j - 92*h - 12, -9 = -3*h. Let k(x) be the first derivative of x - 19 + 1/12*x**2 - 1/18*x**j. What is r in k(r) = 0?
-2, 3
Let o(t) be the second derivative of -5/51*t**4 - 82*t + 0 + 30/17*t**2 + 19/51*t**3 + 1/170*t**5. Find i such that o(i) = 0.
-1, 5, 6
Let l(u) be the first derivative of 22*u**5/25 - 34*u**4/5 - 102*u**3/5 - 58*u*