= b. Let 50*u**3 - 8*u**2 - r*u**3 + 3*u - 1 + 5*u**2 = 0. What is u?
1
Factor 347*k + 8*k**2 + 1776 + 108*k + 998*k + 1003*k + 1100*k.
4*(k + 444)*(2*k + 1)
Factor 1/2*o**5 + 0 + 0*o + 18*o**2 + 13/2*o**4 + 24*o**3.
o**2*(o + 1)*(o + 6)**2/2
Let n = -83 + 254/3. Let u = -301780/3 - -100594. Factor -u*c + 0 + c**3 + n*c**2.
c*(c + 2)*(3*c - 1)/3
Let l = -8242058/51 + 161616. Let k = l + -108/17. Factor -8/3*p + k*p**2 + 8/3.
2*(p - 2)**2/3
Let i(m) = -m**2 - 6*m + 2. Let u be i(-6). Let r be ((-22)/10 - -2)/((-4179)/25074). Solve -r*d + 0 + 1/5*d**3 - 1/5*d**u = 0 for d.
-2, 0, 3
Let r(s) = 20*s + 143. Let y be r(-7). What is u in -125*u**2 - 4*u**y + 85*u - 20 - 53*u + 34*u**3 + 37*u + 71*u = 0?
1/6, 2
Let 13827*h**3 + 2200*h + 4*h**5 + 20362 + 535*h**4 - 45355*h**2 + 40138 + h**5 - 352*h**3 = 0. What is h?
-55, -1, 2
Suppose 0 = 4*z + 4*j - 0*j, -5*z + 3*j = -32. Factor 17*m**4 + 68*m**2 + 0*m**2 - 36 - 2*m**z - 114*m**3 + 79*m**2 - 12*m.
3*(m - 6)*(m - 1)**2*(5*m + 2)
Let l be 36/77 + (-12 - (-530)/44)*-4. Let s(z) be the first derivative of 3 - 2/7*z - 2/21*z**3 + l*z**2. Let s(h) = 0. Calculate h.
1
Let n(k) = -k**2 + 10*k - 17. Let f(u) = 3*u**2 - 20*u + 35. Let x(j) = -2*f(j) - 5*n(j). Let a be x(-11). Let -4*r + 0*r - a*r + 7*r + r**2 = 0. What is r?
0, 1
Let o(s) be the third derivative of s**5/330 + 127*s**4/132 + 42*s**3/11 - s**2 - 303*s - 2. What is w in o(w) = 0?
-126, -1
Determine c, given that 350*c**2 + 240 + c**3 + 2444*c + 90*c**2 + 169*c + 3666 = 0.
-434, -3
Suppose 18 = 24339*k - 24330*k. Solve 0*q + 36/13*q**k - 16/13*q**3 - 54/13 + 2/13*q**4 = 0 for q.
-1, 3
Let r(o) = 80*o**2 - 1338*o - 380. Let f(s) = 64*s**2 - 1068*s - 305. Let k(a) = -14*f(a) + 11*r(a). Find t, given that k(t) = 0.
-3/8, 15
Let z(g) be the third derivative of g**6/120 + g**5/5 + 7*g**4/8 + 13*g**3/6 + 12*g**2. Let q be z(-10). Factor 4*b**q - b**2 - 4*b**3 + 2 - 3*b**2 + 2*b**4.
2*(b - 1)**2*(b + 1)**2
Let u be 2*2 + 16/(-6). Let y be -149 - -145 - 6/(-1)*1. Factor 2/3 - u*t**y - 2/3*t + 4/3*t**3 + 2/3*t**4 - 2/3*t**5.
-2*(t - 1)**3*(t + 1)**2/3
Let j(g) = 8*g**4 + 322*g**3 + 3*g**2 - 6*g. Let o(b) = -7*b**4 - 323*b**3 - 2*b**2 + 4*b. Let y(v) = -2*j(v) - 3*o(v). Factor y(m).
5*m**3*(m + 65)
Let u(s) = 4*s**2 + 6*s - 2. Let v be u(-2). Find x such that -17*x**2 - 33*x**2 + 85*x**2 + 85*x**v + 2560 + 960*x + 5*x**3 = 0.
-8
Let i(y) be the first derivative of -y**6/75 + y**5/50 + 2*y**4/15 - 4*y**3/15 - 9*y + 9. Let z(f) be the first derivative of i(f). Suppose z(x) = 0. What is x?
-2, 0, 1, 2
Let u(w) = 668*w - 48042. Let l be u(72). Determine z so that -24*z + l - 3/2*z**2 = 0.
-18, 2
Let a = 623 - 1907/3. Let b = 500/39 + a. Determine p so that 2/13 + 4/13*p + b*p**2 = 0.
-1
Let h(n) be the first derivative of -15/4*n**4 + 9/5*n**5 + 1/2*n**6 + 0*n + 6*n**2 - 3*n**3 + 172. Let h(t) = 0. What is t?
-4, -1, 0, 1
Let l be -24*(-60)/192 - (0 + (-15)/(-6)). Let t(m) be the third derivative of -1/12*m**3 + 12*m**2 + 0 + 0*m**4 + 1/120*m**l + 0*m. Factor t(p).
(p - 1)*(p + 1)/2
Let v(c) be the third derivative of -9/32*c**4 + 3/80*c**5 + 16*c**2 + 3 + 9/8*c**3 - 1/480*c**6 + 0*c. Solve v(k) = 0.
3
Let p be ((-120)/(-14))/(-44 + 4501/98). Factor -16/9*v**2 + 2/9*v**3 + 0 - p*v.
2*v*(v - 10)*(v + 2)/9
Let s = 359 + -358. Let v be (s/1)/(486/108). Factor -22/9*t - 20/9 - v*t**2.
-2*(t + 1)*(t + 10)/9
Let g(z) be the first derivative of z**4 - 20*z**3/3 - 1584*z**2 + 40176*z + 3633. Factor g(b).
4*(b - 18)**2*(b + 31)
Let i(a) be the first derivative of 4*a**5/5 + 2*a**4 - 272*a**3/3 + 240*a**2 + 5416. Factor i(b).
4*b*(b - 6)*(b - 2)*(b + 10)
Let c be (-66)/(-110) + 3810/(-475) + 11 + 0 + -2. Let 92/19*i - c + 4/19*i**3 - 66/19*i**2 = 0. What is i?
1/2, 1, 15
Let k = 14140 + -14135. Let x(u) be the third derivative of -25/24*u**3 - 1/240*u**k - 5/48*u**4 + 9*u**2 + 0*u + 0. Solve x(z) = 0.
-5
Let m = 22 + 298. Let w be m/1000*(0 + 10). Let -w*b - 2/5*b**2 + 0 = 0. What is b?
-8, 0
Suppose -963 = 7*j - 893. Let i be (j/14)/(434/49 + -9). Find d such that 1/5*d**i + 12/5 + 51/5*d**2 + 9/5*d**4 + 8*d + 31/5*d**3 = 0.
-3, -2, -1
Let c(t) = -13*t**2 + 38*t + 354. Let d(g) = 9*g**2 + 2. Let b(m) = -5*m**2 - 1. Let n(o) = -5*b(o) - 3*d(o). Let s(l) = -3*c(l) + 21*n(l). Factor s(j).
-3*(j + 19)**2
Let m(i) be the second derivative of 10*i**7/21 + 5*i**6/2 + 3*i**5 - 5*i**4/3 + 4*i - 17. Suppose m(d) = 0. What is d?
-2, 0, 1/4
Let r be (69/(-46))/(-11 - -3). Let v(h) be the third derivative of -1/160*h**6 + 1/16*h**5 - r*h**4 + 36*h**2 + 0*h**3 + 0 + 0*h. Factor v(l).
-3*l*(l - 3)*(l - 2)/4
Suppose u - 10 = 4*c, -4*u + 0*u = -c - 10. Let r**u + 0*r**3 + 30 - 42*r**3 + 84*r**2 - 85*r + 5*r**4 + 7*r**3 = 0. What is r?
1, 2, 3
Let r be (-28)/(-21)*3/2. Suppose -5*g = 20, g - 106 = -0*h - r*h. Solve -25*c**5 + 35*c**4 + 117*c + 86*c - 243*c + 65*c**3 + 20 - h*c**2 = 0 for c.
-1, 2/5, 1, 2
Let y(j) = 3*j**2 - 549*j + 8. Let v(s) = 14*s**2 - 2196*s + 36. Let h(r) = -2*v(r) + 9*y(r). Solve h(b) = 0.
-549, 0
Factor 22*p**3 - 125*p**2 + p**5 + 9*p**3 - 155*p**3 + 172 + 11*p**3 + 176*p + 24*p**3 + 41*p**4.
(p - 2)**2*(p + 1)**2*(p + 43)
Factor 9/4*k**2 + k + 0 + 3/2*k**3 + 1/4*k**4.
k*(k + 1)**2*(k + 4)/4
Let c(p) be the third derivative of -13/60*p**4 + p + 0 + 23*p**2 - 4/5*p**3 - 1/150*p**5. Factor c(y).
-2*(y + 1)*(y + 12)/5
Let c = 86 + -88. Let r be (2/(-4)*-2)/((-1)/c). Let 6*w**3 - 4*w**r + 3*w**2 + 2 - 9*w + 3*w - w**2 = 0. What is w?
-1, 1/3, 1
Factor -114 - 2*b**3 - 50*b**2 + 1663*b - 68*b**2 - 1893*b.
-2*(b + 1)**2*(b + 57)
Let i(s) be the second derivative of -60*s**2 - 25/6*s**4 + 1/4*s**5 + 1 + 5*s + 70/3*s**3. Factor i(q).
5*(q - 6)*(q - 2)**2
Let u(c) be the third derivative of c**7/135 + c**6/20 - c**5/27 - c**4 - 8*c**3/3 - 10*c**2 - 42*c. Suppose u(a) = 0. Calculate a.
-3, -2, -6/7, 2
Let t(j) be the third derivative of -2*j**5/15 + 7*j**4/12 - 98*j**3/3 - j**2 - 27*j. Let k(x) = -7*x**2 + 16*x - 196. Let o(m) = 7*k(m) - 6*t(m). Factor o(r).
-(r - 14)**2
Let f(v) be the third derivative of 0 + 256/21*v**3 - 3*v - 5*v**2 + 1/210*v**5 - 8/21*v**4. Factor f(r).
2*(r - 16)**2/7
Suppose 3*h - t + 2*t = -526, 170 = -h + 5*t. Let p be (-470)/h + 9/(126/(-4)). Find c, given that 8/5 + 4/5*c**3 - p*c + 0*c**2 = 0.
-2, 1
Find i such that -1465*i + 84*i**2 + 3*i**4 + 1333*i - 96*i**2 + 33*i**3 = 0.
-11, -2, 0, 2
Suppose 2*s + 15 = 3*o, -3*o + 15 = -o - 3*s. Suppose p + o*p = 24. What is f in 6*f**2 - 6 + 4*f**4 + 10*f**2 - 32*f**3 + 12*f**5 + p = 0?
-2, 0, 2/3, 1
Let q be (-56)/(-21)*(15/(-2))/(-5). Find r such that -6*r**4 - 9*r**5 - 5*r - 10*r - 6*r**q + 105*r**3 - 6*r - 135*r - 48 = 0.
-4, -1, -1/3, 2
Factor -157*j + 313/2 + 1/2*j**2.
(j - 313)*(j - 1)/2
Let k(v) be the third derivative of -1/30*v**6 - 1/105*v**7 + 2*v**2 + 0*v**4 + 0*v**3 + 0*v + 1/10*v**5 - 10. Factor k(q).
-2*q**2*(q - 1)*(q + 3)
Let h be -3 + -8 + (-1518)/(-92)*((-8)/(-3))/4. Factor h + 40/3*m - 4/3*m**2.
-4*m*(m - 10)/3
Let w be ((-1925)/(-125) - 15)/(8/80). Factor -12/7*k**2 + 0 - 1/7*k**w + k**3 + 0*k.
-k**2*(k - 4)*(k - 3)/7
Let s = -4502 - -4504. Let c(i) be the first derivative of -1/36*i**6 + 1/8*i**4 + 1/9*i**3 + 0*i**s + 14 + 0*i + 0*i**5. Factor c(q).
-q**2*(q - 2)*(q + 1)**2/6
Let q = 277426/285 + -22689/19. Let b = q - -1212/5. What is j in -b*j**3 + 19/3*j**2 + 31*j**4 + 0 - 15*j**5 - 2/3*j = 0?
0, 1/3, 2/5, 1
Factor 216*j - 2*j**2 - 111*j - 93*j + 144 + 0*j**2.
-2*(j - 12)*(j + 6)
Factor -3/7*m**3 - 480/7 - 108/7*m**2 + 468/7*m.
-3*(m - 2)**2*(m + 40)/7
Let w(v) be the second derivative of 15/4*v**4 - 6*v + 0*v**2 - 5/3*v**3 - 5/2*v**5 + 1/2*v**6 - 7. Factor w(f).
5*f*(f - 2)*(f - 1)*(3*f - 1)
Let c be (5/(-35))/((-6)/(92 - 32)). Find u such that c*u - 2/7*u**2 - 8/7 = 0.
1, 4
Let l = -115472 + 115474. Factor 0*i - 2/5*i**3 + 6/5*i**l + 0.
-2*i**2*(i - 3)/5
Let j = 15312/7 - 2187. Factor 3/7*q - j - 3/7*q**3 + 3/7*q**2.
-3*(q - 1)**2*(q + 1)/7
Let y(r) be the first derivative of -2*r**6/15 - 3*r**5/5 + r**4/3 + 2*r**3 - 95*r - 22. Let u(w) be the first derivative of y(w). Factor u(z).
-4*z*(z - 1)*(z + 1)*(z + 3)
Let u(n) = -25*n**3 - 261*n**2 + 327*n - 97. Suppose 4*q = 21*q + 17. Let s(o) = o**3 + o**2 + o + 1. Let v(r) = q*u(r) - s(r). Factor v(x).
4*(x + 12)*(2*x - 1)*(3*x