+ 13. What is r in s(r) = 0?
-5, -2, 0
Factor 256*q - 614 - 127*q**3 + 438 - 4*q**4 + 39*q**3 + 12*q**2.
-4*(q - 1)**2*(q + 2)*(q + 22)
Factor -28*d + 0 - 2/5*d**2.
-2*d*(d + 70)/5
Let f = -307 + 307. Let m be ((-5)/(-3))/5 - 7/(-21). Factor -4/3*k + m*k**2 + f.
2*k*(k - 2)/3
Let x = -23 + 34. Suppose 0 = 2*h - x + 1. Factor -10*t - 13 + 9 - 8*t - 12*t**4 - 28*t**3 - 32*t**2 - 2*t**h.
-2*(t + 1)**4*(t + 2)
Let a(f) be the second derivative of -f**4/16 + f**3/8 + 70*f. Factor a(r).
-3*r*(r - 1)/4
Let z(x) be the first derivative of -5*x**3/3 + 55*x**2/2 - 50*x + 16. Factor z(n).
-5*(n - 10)*(n - 1)
Let n(c) be the second derivative of 0 - 1/7*c**3 + 4/7*c**2 - 29*c - 1/42*c**4. Factor n(j).
-2*(j - 1)*(j + 4)/7
Let n(v) = 4*v**3 - 21*v**2 - 61*v. Let m(p) = 20*p**3 - 104*p**2 - 304*p. Let i(k) = 3*m(k) - 16*n(k). Let i(x) = 0. What is x?
-2, 0, 8
Let i = -408/5 - -82. Let y = -1 - -4. Factor -2/15 - 4/15*t**y + i*t**2 + 0*t.
-2*(t - 1)**2*(2*t + 1)/15
Let n(o) = 8*o**4 - 170*o**3 + 1215*o**2 - 3038*o + 683. Let a(z) = -40*z**4 + 850*z**3 - 6074*z**2 + 15190*z - 3414. Let j(x) = 3*a(x) + 16*n(x). Factor j(f).
2*(f - 7)**3*(4*f - 1)
Let v(w) be the third derivative of -2/3*w**3 - 1/60*w**4 + 10*w**2 - 1/150*w**5 + 0*w + 0 - 1/900*w**6. Let u(l) be the first derivative of v(l). Factor u(b).
-2*(b + 1)**2/5
Let y = -28/25 - -3709/75. Let p = y + -48. Determine h, given that 1/2*h**2 + p - 7/6*h = 0.
1/3, 2
Determine l so that -90*l - 108 - 3/4*l**3 + 69/4*l**2 = 0.
-1, 12
Let p(z) = -z**2 + 8*z - 11. Let t be p(6). Factor -t + 1879*w - 1878*w + 2*w**2 - 3*w**3 + 1.
-w*(w - 1)*(3*w + 1)
Solve -5*r + 72*r**5 + 10*r**2 - 141*r**5 + 74*r**5 - 10*r**4 = 0.
-1, 0, 1
Let v = -125 - -129. Let p be (2 - v)/((-4)/(-20)*-2). Suppose 5/7*g**2 + 3/7*g**3 - 1/7*g**4 + 0 - 1/7*g**p + 2/7*g = 0. What is g?
-1, 0, 2
Let z(a) be the second derivative of -4/3*a**3 - 1/20*a**5 - 11*a + 0 - 2*a**2 - 5/12*a**4. Suppose z(r) = 0. What is r?
-2, -1
Let v = -189/4 + 1705/36. Let z(b) be the first derivative of v*b**2 + 1/3*b**3 - 12 + 0*b + 5/18*b**4 + 1/15*b**5. Suppose z(w) = 0. What is w?
-2, -1, -1/3, 0
Factor 1/5*v**2 + 2916/5 + 108/5*v.
(v + 54)**2/5
Let q be (-1829)/186 + 10 + 2/6. Factor 1/6*r**2 + 2/3*r + q.
(r + 1)*(r + 3)/6
Solve 28 + 15*y - 25*y**3 - 15*y**2 + 30*y + 7 = 0.
-1, 7/5
Factor -144*q - 45*q**2 - q**2 + 125*q**3 - 81 - 45*q**3 - 64*q**3 - q**4.
-(q - 9)**2*(q + 1)**2
Suppose 19*k - 18*k + 9 = 0. Let y be k/3 + 2 - -7. Solve 3*j + 12*j + 12*j**2 + 0*j + y + 3*j**3 = 0 for j.
-2, -1
Let u(z) = 6*z - 18. Let t be u(5). Factor -3*w**4 + 6*w**4 + 3*w**5 + t*w**2 - 12*w**4.
3*w**2*(w - 2)**2*(w + 1)
Let q(a) = -26*a**3 - 49*a**2 - 60*a - 11. Let y(j) = -4 + 0*j**3 + 2 - 3*j**3 - 12*j - 10*j**2 - 2*j**3. Let z(f) = -2*q(f) + 11*y(f). Factor z(l).
-3*l*(l + 2)**2
Let y = 1169/164 - 282/41. Factor -1/4*l**3 - 1/4 + 1/4*l + y*l**2.
-(l - 1)**2*(l + 1)/4
Let r be 22/(-11)*(-3)/2. Let j(x) be the third derivative of 0 + 7*x**2 + 0*x + 1/180*x**5 - 1/9*x**4 + 8/9*x**r. Factor j(g).
(g - 4)**2/3
Let o be 3/(-4) - (-1)/12*29. Let i = 17/9 - o. What is v in 8/9 + 8/9*v**3 - 2/3*v**2 - 8/9*v - i*v**4 = 0?
-1, 1, 2
Let i(g) be the second derivative of g**6/72 + 11*g**5/24 - 3*g**3/2 + g**2 - 25*g. Let n(j) be the second derivative of i(j). Factor n(u).
5*u*(u + 11)
Let 3/2*t**2 + 0 - 3/2*t = 0. What is t?
0, 1
Let r be (-6)/((-11)/12 - (-9)/54). Factor 7*m + m**2 + m + 5*m - r - 11*m.
(m - 2)*(m + 4)
Let k(t) be the third derivative of -2*t**7/105 + 13*t**6/30 - 6*t**5/5 - 26*t**4/3 + 176*t**3/3 - 707*t**2. Determine n, given that k(n) = 0.
-2, 2, 11
Let q(i) be the second derivative of -i**7/210 + i**6/40 - i**5/30 + 5*i**2/2 + 2*i. Let h(t) be the first derivative of q(t). Solve h(l) = 0.
0, 1, 2
Suppose -45 = -5*y - 175. Let w = -18 - y. Factor 5*s**4 - 4*s**3 + w*s**4 + s**2 - 10*s**4.
s**2*(s - 1)*(3*s - 1)
Let n be (-1*9/12)/(10/(-616)). Let h = 47 - n. Factor -h - 4/5*i + 4/5*i**3 + 4/5*i**2.
4*(i - 1)*(i + 1)**2/5
Let x(l) be the first derivative of 7/18*l**2 + 5 + 1/27*l**3 - 8/9*l. Factor x(c).
(c - 1)*(c + 8)/9
Let z(w) be the first derivative of w**4/12 + 2*w**3/9 + 140. Find h such that z(h) = 0.
-2, 0
Factor 5/3*d**2 - 2/3*d + 1/3*d**5 - d**3 - 1/3*d**4 + 0.
d*(d - 1)**3*(d + 2)/3
Let f(p) = 28*p**3 - 881*p**2 + 571*p. Let t(h) = -15*h**3 + 441*h**2 - 285*h. Let j(r) = 3*f(r) + 5*t(r). Factor j(u).
3*u*(u - 48)*(3*u - 2)
Let l(v) be the first derivative of -v**6/8 + v**5/4 + 13*v**4/16 - v**3/12 - 3*v**2/4 - 162. Determine r, given that l(r) = 0.
-1, 0, 2/3, 3
Let g(f) = 2*f**2 - 39*f - 5. Let p be g(19). Let o be 16/p - 11/(-3). Determine d so that -9/2*d - 3/2*d**4 + 1 + 1/2*d**2 + 13/2*d**o - 2*d**5 = 0.
-2, -1, 1/4, 1
Let t(w) be the second derivative of 0*w**2 + 0 + 5/27*w**3 + 2/45*w**5 + 7/18*w**4 + 25*w. Solve t(u) = 0.
-5, -1/4, 0
Let c(r) = r - 3. Let o be c(5). Factor 10*t**2 + 9*t**o - 27*t + 6 - 12*t**2 + 14*t**2.
3*(t - 1)*(7*t - 2)
Let j(g) be the second derivative of g**6/420 + g**5/210 - g**4/84 - g**3/21 + 19*g**2/2 + 9*g. Let p(k) be the first derivative of j(k). Factor p(v).
2*(v - 1)*(v + 1)**2/7
Let t = -6 - -7. Suppose 8*q**4 + 5 - t - 2*q - 749*q**2 + 4*q**3 - 4*q**4 - 2*q**5 + 741*q**2 = 0. What is q?
-1, 1, 2
Factor 36*a**2 + 0*a**4 - 58*a**3 + a**4 + 38*a**3.
a**2*(a - 18)*(a - 2)
Let w = 0 + 2. Let z = -11171/7 + 1665. Factor 192/7*i + z*i**3 - 16/7 - 660/7*i**w.
4*(i - 1)*(11*i - 2)**2/7
Suppose 0 = -2*f + 4*z + 14, 4*f - 8 = -3*z + 20. Let s be 9*(f - 3)/4. Let 4*g**2 - s*g**4 + 30 + 2*g**2 - 27 + 3*g**5 - 9*g + 6*g**3 = 0. What is g?
-1, 1
Factor 0*d**3 + 23*d + 63*d + 14 - 46*d**2 + 2*d**3 - 56.
2*(d - 21)*(d - 1)**2
Suppose -6*f + 40 = -2*f. Factor -f*l**2 - 4 - 5*l**3 + 8 + 6 + 5*l.
-5*(l - 1)*(l + 1)*(l + 2)
Suppose 5*r - 2 = -4*s - 7, -2*s + 5 = 5*r. Suppose 2*y**r + 0*y + 11*y**2 - 3*y - 12*y**2 = 0. Calculate y.
-1, 0, 3/2
Let w = 46 - 42. Let q be 4/2 + 2/w*2. Factor 3 - q*x**2 + 3/2*x**3 - 3/2*x.
3*(x - 2)*(x - 1)*(x + 1)/2
Factor 50/7 + 26/7*k**4 - 170/7*k - 116/7*k**3 - 2/7*k**5 + 212/7*k**2.
-2*(k - 5)**2*(k - 1)**3/7
Let i = -24179 - -24179. Factor 2/7*o + i + 2/7*o**2.
2*o*(o + 1)/7
Suppose 2*y - 4 = -0*y. Suppose -4*p + 21 - 5 = 0. Solve y*r**5 + r**4 - r**4 - 2*r**p = 0 for r.
0, 1
Let n(i) be the third derivative of -8*i**7/105 - i**6/30 + 4*i**5/5 - 5*i**4/6 - 4*i**3/3 - 201*i**2. Suppose n(l) = 0. What is l?
-2, -1/4, 1
Let x(l) be the first derivative of l**4/12 - 32. Find u, given that x(u) = 0.
0
Let y = 72 - 71. Let g(l) be the first derivative of -l**4/4 + l**2/2 + 2. Let w(t) = -8*t**3 + 4*t**2 + 8*t - 4. Let m(u) = y*w(u) + 2*g(u). Factor m(d).
-2*(d - 1)*(d + 1)*(5*d - 2)
Let k(w) = -2*w**2 + 1. Let n(q) = -22*q**2 - 30*q + 40. Let f(b) = -12*k(b) + n(b). Solve f(t) = 0.
1, 14
Suppose -2*v = -3*g - 1303 - 2541, -3*v = -2*g - 2566. Let y be g/(-90) + (-4)/18. Factor -11*k + y*k + k**3 - 4*k**3.
-3*k*(k - 1)*(k + 1)
Let c be (-42)/(-8) - (-270)/(-90). Find d, given that 1/4*d**3 + 0 + c*d - 3/2*d**2 = 0.
0, 3
Suppose 0 = 5*c - 2*f + f + 135, 3*f + 63 = -3*c. Let l be c/(-10) - 12/20. Determine x, given that -4*x - x**l + 2*x - x**2 = 0.
-1, 0
Suppose 4*w - f - 2*f - 12 = 0, 5*f = -2*w + 6. Let b = -74 - -78. Factor -6*i**3 - 4*i**4 - 2 + 5*i**b + 3*i**3 + i**2 + w*i.
(i - 2)*(i - 1)**2*(i + 1)
Let t = 61497 + -61495. Let 4/5*r**t + 0 - 2/5*r**5 + 0*r**3 - 4/5*r**4 + 2/5*r = 0. What is r?
-1, 0, 1
Let b(a) = 8*a**2 + 22*a + 14. Let z(t) = t**2 + t. Suppose s + 27 = 4*j - 9*j, 4*s = 4*j + 36. Let o(m) = j*z(m) + b(m). Solve o(u) = 0.
-7, -1
Let o(y) be the second derivative of y**9/45360 + y**8/20160 + 7*y**4/6 + y. Let h(g) be the third derivative of o(g). Determine t, given that h(t) = 0.
-1, 0
Suppose -7*c = l - 4*c + 1, 0 = -3*l - 2*c + 4. Let m(f) = -f**2 - 9*f - 6. Let y be m(-8). Factor -4*w**4 + 4*w - 2*w**2 - 4*w**3 + 2*w**2 + w**l + 3*w**y.
-4*w*(w - 1)*(w + 1)**2
Let o(b) be the third derivative of b**5/210 + 19*b**4/84 + 278*b**2 - 2. Factor o(x).
2*x*(x + 19)/7
Let s = -245 + 247. Let f(x) be the second derivative of -2*x - 1/12*x**4 + 0*x**3 + 0 + 0*x**s - 1/20*x**5. Factor f(v).
-v**2*(v + 1)
Let w = -11/357 - -83/119. Factor 22/15*g + w + 2/15*g**3 + 14/15*g**2.
2*(g + 1)**2*(g + 