*m + 26. Let c be (2/(-4))/(7/2)*-14. Factor l**2 - 2*l**2 - 8*l**c + 4*l**3 - 16 - 28*l + l**m.
4*(l - 4)*(l + 1)**2
Let y(t) = 10*t**2 - 119*t - 18. Suppose 35*v + 108 = 8*v. Let a(m) = 5*m**2 - 59*m - 8. Let b(c) = v*y(c) + 9*a(c). Solve b(z) = 0 for z.
0, 11
What is v in -120/7*v**2 + 124/7*v**3 - 124/7*v + 122/7 - 2/7*v**4 = 0?
-1, 1, 61
Let s = -18515/3 - -6364. Let r = 193 - s. Factor r + 8/3*t**2 - 7/3*t - t**3.
-(t - 1)**2*(3*t - 2)/3
Let l be -29*16/(-1856)*0. Solve -6/5*x**3 + l - 2*x**2 + 4/5*x = 0.
-2, 0, 1/3
Let p(o) = o**2 + 12*o - 10. Let g(h) = -h**2 + 20*h + 56. Let k be g(23). Let a be p(k). Let 3*m - a*m**3 - 3*m**2 - 3*m**4 + 2*m**4 - 4*m = 0. What is m?
-1, 0
Let a = 72 + -68. Suppose -5*x + 16 = -2*w, -2*x = -0*w - a*w. Determine m so that -4 + 1 + w*m**2 + 4*m + 5 = 0.
-1
Let h(i) be the first derivative of -4*i**5/5 - 19*i**4/2 + 71*i**3/12 + 513*i**2/2 - 729*i + 492. Factor h(k).
-(k - 2)**2*(4*k + 27)**2/4
Factor 4145*p - 110*p**2 - 5073*p + 924 + 114*p**2.
4*(p - 231)*(p - 1)
What is w in 32/11*w**2 + 4096/11 + 2/11*w**3 - 896/11*w = 0?
-32, 8
Suppose -125 = -5*v + 54*h - 56*h, -3*h = 15. Let a(p) be the first derivative of 1/18*p**3 + 0*p + 1/12*p**2 + v. Factor a(r).
r*(r + 1)/6
Let v be ((-3213)/162 - -23)*3. Find p such that 39/2*p + 1/2*p**3 - 21/2*p**2 - v = 0.
1, 19
Let b = 211 - 175. Factor 12*q**3 + 6*q - 19*q**2 + b*q**2 - 4*q**3 - 4*q**2 + q**4.
q*(q + 1)**2*(q + 6)
Factor -x**4 + 122*x - 130*x**2 - 75*x**3 - 4*x**4 - 70*x - 52*x.
-5*x**2*(x + 2)*(x + 13)
Let z(i) be the third derivative of 0 - 1/12*i**4 - 63*i**2 + 0*i + i**3 + 1/60*i**6 - 1/10*i**5. Factor z(k).
2*(k - 3)*(k - 1)*(k + 1)
Let q = -243234 - -243234. Let 1/5*b + 1/5*b**5 + 0*b**4 + 0*b**2 - 2/5*b**3 + q = 0. Calculate b.
-1, 0, 1
Let y be (-84)/(-91) + -7 + 2235/325. What is i in 0 + 8/5*i - 4/5*i**4 - 8/5*i**3 + y*i**2 = 0?
-2, -1, 0, 1
Suppose 2*s = 18*s - 32. Factor 12*z**3 - 5*z**s + 12*z**2 - 4*z**2.
3*z**2*(4*z + 1)
Let x(n) be the first derivative of -2*n**3/3 - 85*n**2 - 168*n + 384. Factor x(t).
-2*(t + 1)*(t + 84)
Let n be 10*((-19)/2)/(-19). Let d(k) be the second derivative of 0 + 0*k**4 - 12*k + 0*k**3 + 1/4*k**n + 0*k**2. Factor d(m).
5*m**3
Determine o so that -5/7*o**3 - 1882/7*o**2 - 2627/7*o - 750/7 = 0.
-375, -1, -2/5
Let l(b) be the second derivative of -1/3*b**4 + 16*b**3 - 4 + 50*b**2 - 10*b. Factor l(u).
-4*(u - 25)*(u + 1)
Suppose 2*b - 12 = -b + 2*j, -b - j = -4. Factor -3*i**3 - 6*i**3 - i**2 + 2*i**b + 3*i**3 + 5*i**2.
2*i**2*(i - 2)*(i - 1)
Solve -498*k - 103335 - 3/5*k**2 = 0.
-415
Let z = -38 + 39. Let k = 1 + z. Factor 36*s + s**3 - 37*s - s**k + s**2.
s*(s - 1)*(s + 1)
Let c(l) be the second derivative of 1/20*l**6 - 43/80*l**5 + 2*l + 0*l**2 + 7/24*l**3 + 1/8*l**4 + 31. Suppose c(k) = 0. What is k?
-1/3, 0, 1/2, 7
Let c be 4/1 - 5 - (-2 + 25). Let o be ((-55)/51 + 1)*c/16. Suppose -2/17 - 2/17*u**3 + o*u**2 + 2/17*u = 0. Calculate u.
-1, 1
Let t(d) be the third derivative of d**8/1848 - 23*d**7/1155 - d**6/220 + 71*d**5/330 - 23*d**4/66 + 39*d**2 + d - 8. Solve t(o) = 0.
-2, 0, 1, 23
Factor -8*x - 75*x**2 + 100 - x - 4*x + 5*x**4 - 8*x - 10*x**3 + x.
5*(x - 5)*(x - 1)*(x + 2)**2
Let h(o) = -o**3 + 11*o**2 - 9*o - 4. Let n = 16 - 6. Let p be h(n). Factor -2*z**2 + p*z + z - 3*z.
-2*z*(z - 2)
Find p such that -p**5 - 32*p**3 + 99*p**2 - 277*p - 113*p**2 + 14*p**4 + 310*p = 0.
-1, 0, 1, 3, 11
Solve -1/8*j + 19/8 + 1/8*j**3 - 19/8*j**2 = 0.
-1, 1, 19
Suppose -57*y - 93 = 36*y. Let c be 1*y + -1 + 1918/822. Let 1/3*w**2 - c*w**3 + 0*w + 0 = 0. What is w?
0, 1
Let -20/9 + 8/9*k**2 + 14/9*k - 2/9*k**3 = 0. What is k?
-2, 1, 5
Let i = 1/485685 - -431719/485685. Factor 0*w**2 + 2/9*w**5 + 0*w + 2/3*w**3 + 0 - i*w**4.
2*w**3*(w - 3)*(w - 1)/9
Let m(b) = -2*b**3 - 12*b**2 - 11*b - 7. Let t be m(-5). Let w(q) = -2*q**2 + 6*q - 3. Let f(o) = o**2 - 5*o + 2. Let d(n) = t*w(n) - 3*f(n). Factor d(k).
k*(k + 3)
Let m(k) be the first derivative of -k**8/2520 + k**7/180 - 31*k**3 - 39. Let j(c) be the third derivative of m(c). Determine h so that j(h) = 0.
0, 7
Let y(s) be the second derivative of -s**5/25 - 15*s**4 - 8512*s**3/5 - 25088*s**2/5 + 2*s - 480. Find t, given that y(t) = 0.
-112, -1
Let v(z) = -z**2 - 12*z - 7. Let t be v(-8). Suppose t*n - 6 = 22*n. Solve 2*q**4 + q**2 - 5*q**2 + 2*q**2 - 2*q**n - 2*q**3 = 0 for q.
-1, 0, 2
Let r(y) = -y**3 - 28*y**2 - 39*y - 57. Let b be r(-27). Let s = b + -2401/9. Solve 0*i - s*i**2 + 2/9 = 0.
-1, 1
Factor 338*f - 38*f + 283*f**2 - f**3 - 5*f**3 + 163*f**2.
-2*f*(f - 75)*(3*f + 2)
Let q = -381 + 407. Let s be (q/(-12))/(-13) - (-3)/9. Solve s*x**3 + 0 + 2*x**5 + 0*x - 5/2*x**4 + 0*x**2 = 0.
0, 1/4, 1
Factor 81*b - 10269*b**3 + 10230*b**3 + 41*b**2 + 0*b**4 - 6*b**4 + 103*b**2.
-3*b*(b - 3)*(b + 9)*(2*b + 1)
Let n(w) be the first derivative of w**6/24 - w**5/2 + 19*w**4/8 - 17*w**3/3 + 57*w**2/8 - 9*w/2 + 1980. Let n(g) = 0. Calculate g.
1, 2, 3
Let h be (3/21)/(40/240). Let a(i) be the first derivative of 5/14*i**4 - h*i**3 + 19 - 2/35*i**5 + i**2 - 4/7*i. Solve a(c) = 0.
1, 2
Factor 85/3*i**2 + 75 + 205/2*i + 5/6*i**3.
5*(i + 1)*(i + 3)*(i + 30)/6
Suppose -5*y - 24 = -17*y. Let r(o) = -12*o**y - 16*o - o + 13*o**2 - 7. Let v(c) = c**2 - 11*c - 5. Let u(j) = -5*r(j) + 7*v(j). Suppose u(a) = 0. What is a?
-4, 0
Determine x so that -192/7*x**2 + 0*x + 3/7*x**3 + 0 = 0.
0, 64
Let k(f) be the second derivative of 83*f**5/90 + 3*f**4/2 - 56*f**3/9 + 4*f**2/9 + 11*f - 58. Solve k(c) = 0 for c.
-2, 2/83, 1
Suppose -744*n = 1068*n - 5404 - 1781 + 1749. What is v in -2*v**n + 0 + 1/2*v**5 - 2*v**2 + 1/2*v**4 + 0*v = 0?
-2, -1, 0, 2
Let n = -7930/43 - -39994/215. Factor -14/5 + n*o**2 + 6/5*o.
2*(o - 1)*(4*o + 7)/5
Let -1266/5 + 428/5*r - 2/5*r**2 = 0. What is r?
3, 211
Let j be (1176/686)/(1/7). Let n be (0/((-24)/j))/(-2). Determine v so that 0*v**2 + n*v + 1/2*v**4 + v**3 + 0 = 0.
-2, 0
Let b(y) = -795*y**3 + 1307*y**2 + 624*y - 16. Let u(g) = 1590*g**3 - 2619*g**2 - 1251*g + 33. Let x(w) = -9*b(w) - 4*u(w). Factor x(f).
3*(f - 2)*(5*f + 2)*(53*f - 1)
Let j(x) be the second derivative of x**6/210 - 23*x**5/140 + 10*x**4/7 + 24*x**3/7 - 3*x - 104. Suppose j(z) = 0. What is z?
-1, 0, 12
Suppose -5*a = -2*d + 3*d + 7, 0 = 2*d + 4*a - 4. Let -12*g - d*g**4 + 75*g**3 - g**5 + 3*g - 97*g**3 - 24*g**2 = 0. What is g?
-3, -1, 0
Let j(g) be the second derivative of -g**4/36 + 7*g**3/2 + 134*g**2/3 + 1202*g. Factor j(i).
-(i - 67)*(i + 4)/3
Suppose 186/7*q**3 + 32/7 + 26/7*q**4 + 56*q**2 + 264/7*q = 0. Calculate q.
-4, -2, -1, -2/13
Let d = 92499 - 277496/3. Find u, given that 0 - 1/3*u**3 + 0*u**2 + d*u = 0.
-1, 0, 1
Let w be (-6)/(-14) + (15 - 1488/(-56)). Let t be ((-48)/(-5))/(w/(-240)*-1). Find k such that -48/7*k**2 + t*k + 12/7*k**4 + 256/7 - 64/7*k**3 = 0.
-2, -2/3, 4
Let y = 496804 + -496800. Factor -6/5*g + 0 - 12/5*g**3 - 3*g**2 - 3/5*g**y.
-3*g*(g + 1)**2*(g + 2)/5
Let a(j) = 3*j**5 - 19*j**4 + j**3 + 17*j**2 - 16*j + 2. Let r(y) = 4*y**5 - 20*y**4 - 6*y**3 + 17*y**2 - 16*y + 3. Let l(n) = -3*a(n) + 2*r(n). Factor l(v).
-v*(v - 16)*(v - 1)**2*(v + 1)
Let q(o) be the first derivative of -o**5/40 + o**3/4 - o**2 - 43*o - 58. Let g(l) be the second derivative of q(l). Factor g(h).
-3*(h - 1)*(h + 1)/2
Let f = -184 - -91. Let d = f - -745/8. Find n, given that 25/8*n + d*n**3 + 0 + 5/4*n**2 = 0.
-5, 0
Let c(d) be the third derivative of d**5/15 - 59*d**4/6 + 420*d**3 - 2978*d**2. Factor c(j).
4*(j - 45)*(j - 14)
Let g(b) be the third derivative of 1/140*b**6 + 16/21*b**3 - 5/42*b**4 - 23/210*b**5 + 0 + 0*b + 159*b**2. Find q such that g(q) = 0.
-1, 2/3, 8
Let v(x) be the first derivative of -21/10*x**2 + 27 + 11/15*x**3 - 2/5*x. What is z in v(z) = 0?
-1/11, 2
Let t be (0 - -2) + 13 + -10. Let b be (1 - (-10)/(-2))*-5. Find z such that -5*z**5 + z**3 - 5*z**2 + 2*z - b*z**4 + 2*z**t + 25*z**4 = 0.
-1, 0, 2/3, 1
Suppose 6*l + 2*k = 8*l - 14, -5*k - 33 = -4*l. Factor 2*d**l - d**2 + 5*d**2 + d**4 - 5*d**3.
d**2*(d - 3)*(d - 2)
Factor 43175444*n - 12*n**4 - 66*n**3 - 9 + 8*n**4 - 586092*n**2 + 9 + 2718*n**3.
-4*n*(n - 221)**3
Let w = 1351495 + -20238878/15. Let x = 2237 - w. Factor 0 + 8/15*j**4 + 4/5*j**3 + 2/15*j**5 + 2/15*j + x*j**2.
2*j*(j + 1)**4/15
Let f = 315 + -303. Let k be 