is b?
-11, 2
Suppose 3*r = 12, 63*r - 61*r - 8 = 11*j. Factor 0 + 2/7*z**3 + j*z - 2/7*z**4 + 4/7*z**2.
-2*z**2*(z - 2)*(z + 1)/7
Determine o so that -4/5*o**3 + 0 - 10816/5*o + 416/5*o**2 = 0.
0, 52
Let q(p) be the first derivative of 0*p + 26 + 2/35*p**5 + 0*p**2 - 2/21*p**3 + 0*p**4. Find d, given that q(d) = 0.
-1, 0, 1
Let d(j) be the first derivative of 1/28*j**4 - 2 + j**2 + 1/210*j**5 + 0*j + 0*j**3. Let w(y) be the second derivative of d(y). Factor w(g).
2*g*(g + 3)/7
Let k(p) = 12*p**3 - 9*p**2 - 18*p + 3. Let t(b) = -2*b**2 - b - 4. Let f be t(4). Let o(v) = -v**3 + v. Let q(a) = f*o(a) - 5*k(a). Factor q(w).
-5*(w - 3)*(w + 1)*(4*w - 1)
Let t(k) be the first derivative of 3*k**3 + 42*k**2 - 60*k - 40. Factor t(v).
3*(v + 10)*(3*v - 2)
Let z = -1923 - -1926. Let k(a) be the second derivative of -10*a - 1/60*a**4 + 1/10*a**z + 0 - 1/5*a**2. Determine s, given that k(s) = 0.
1, 2
Let c = 29 - 24. What is g in 0*g**3 + 2*g**2 - 7*g + c*g**3 - 3*g**3 + 3*g = 0?
-2, 0, 1
Let t = -11952/5 + 2379. Let j = t + 119/10. Factor 0*s + 1/2*s**2 - j*s**3 + 0.
-s**2*(s - 1)/2
Let i(u) be the third derivative of -u**8/1680 + u**6/180 - 13*u**4/8 + u**2. Let y(l) be the second derivative of i(l). Factor y(a).
-4*a*(a - 1)*(a + 1)
Let x(j) be the first derivative of -j**6/9 - 26*j**5/15 - 55*j**4/6 - 206*j**3/9 - 88*j**2/3 - 56*j/3 + 258. Find q such that x(q) = 0.
-7, -2, -1
Let h = 11/29 + 25/87. Factor -10/3*r**2 + 2/3*r**5 + 0 + h*r**4 - 2*r**3 - 4/3*r.
2*r*(r - 2)*(r + 1)**3/3
Factor 11/3*p**3 + 1/3*p**4 + 28/3*p - 40/3*p**2 + 0.
p*(p - 2)*(p - 1)*(p + 14)/3
Let h be ((-1)/(-14))/((-192)/(-384)). Factor h*d**3 - 5/7*d - 3/7 - 1/7*d**2.
(d - 3)*(d + 1)**2/7
Let c(y) be the third derivative of y**5/10 - y**4/12 - 7*y**3/3 + 14*y**2. Let o(w) = -2*w**2 + w + 5. Let p(m) = -5*c(m) - 14*o(m). Factor p(z).
-2*z*(z + 2)
Let f(q) be the first derivative of -q**4/4 - 2*q**3 + 7*q**2/2 + 2*q - 4. Let p be f(-7). Determine x so that -1/4*x + 0 + 1/4*x**p = 0.
0, 1
Let m(z) = 125*z**3 - 170*z**2 - 495*z - 245. Let d(l) = -125*l**3 + 169*l**2 + 490*l + 246. Let g(r) = 5*d(r) + 6*m(r). Let g(w) = 0. What is w?
-4/5, 3
Let h(v) = -5*v + 2. Let r(i) = -2*i**2 - 10*i - 4. Let d(w) = -4*h(w) + r(w). Factor d(b).
-2*(b - 3)*(b - 2)
Factor 166*j - 4564 - j**2 - 1867 - 458.
-(j - 83)**2
Let f = -1/443 - -6649/1772. Solve -3/4*g**4 + 3/4*g**5 - 9/2*g**3 + 9/4 + f*g - 3/2*g**2 = 0.
-1, 1, 3
Let n(t) be the second derivative of t**4/20 - 5*t**3/2 + 36*t**2/5 - 52*t. Factor n(l).
3*(l - 24)*(l - 1)/5
Let u = -155665/24453 - -5/2223. Let h = u + 372/55. Solve 0 - 2/5*v**3 - 4/5*v**2 - h*v = 0.
-1, 0
Let d = -86399/120 + 720. Let m(t) be the second derivative of -d*t**6 - 12*t + 0 - 1/24*t**3 + 1/80*t**5 + 1/48*t**4 + 0*t**2. What is p in m(p) = 0?
-1, 0, 1
Let g(k) = -k**2 - 17*k - 14. Let l be g(-16). Suppose -5 - 4 - l*x + 5 + 2*x**2 = 0. What is x?
-1, 2
Let n be (192/40)/(2/5). Factor 10*p**2 + 104*p + n + 10*p**2 - 136*p.
4*(p - 1)*(5*p - 3)
Find b, given that 2*b + 0 + 2/3*b**5 - 20/3*b**2 + 8*b**3 - 4*b**4 = 0.
0, 1, 3
Let i(t) be the second derivative of -t**7/30 + 3*t**6/50 + t**5/20 - 3*t**4/20 + t**3/15 - t - 11. Suppose i(v) = 0. Calculate v.
-1, 0, 2/7, 1
Suppose -13*i = -3*i - 20. Let s be (0 + (-4)/8)/(i/(-8)). Let -14/9*c**s - 10/3*c - 2/9*c**3 - 2 = 0. Calculate c.
-3, -1
Let s = 2 + -4. Let x = 4 + s. Factor -8*w**3 - 4*w**2 + 26*w**3 + x*w - 16*w**3.
2*w*(w - 1)**2
Let y(v) be the first derivative of 2*v**5/35 + 2*v**4/7 - 10*v**3/21 - 587. Factor y(p).
2*p**2*(p - 1)*(p + 5)/7
Let j(w) = -2*w**2 + w. Let z(b) = 18*b**4 + 420*b**3 + 542*b**2 + 173*b. Let y(u) = -6*j(u) - 2*z(u). Factor y(h).
-4*h*(h + 22)*(3*h + 2)**2
Let i(l) be the first derivative of 0*l**3 - 5/2*l - 9 + 1/2*l**5 + 5/4*l**4 - 5/2*l**2. Factor i(x).
5*(x - 1)*(x + 1)**3/2
Let s(h) = h**3 - 10*h**2 - 16*h + 162. Let r be s(10). Factor -3/2*f + 0 + 3/4*f**r.
3*f*(f - 2)/4
Let o(x) = x**2 - 15*x + 4. Let z be o(15). Factor -4*g**3 - 2*g + 2*g**3 - 2*g + 4*g**2 + 6*g**3 - 4*g**z.
-4*g*(g - 1)**2*(g + 1)
Let g = 558 - 553. Let d(f) be the second derivative of 3/10*f**g + 1/14*f**7 - 3/2*f**2 + 0 + 2*f + 3/10*f**6 - 3/2*f**3 - 1/2*f**4. Factor d(c).
3*(c - 1)*(c + 1)**4
Suppose 2*r - 2*t + 19 = -7, -2*t + 14 = -r. Let c be -1*28/r + (-6)/(-9). Suppose -1/2*s + 0 - 1/2*s**4 - 3/2*s**2 - 3/2*s**c = 0. Calculate s.
-1, 0
Let o(y) be the second derivative of 3/25*y**5 + 2/105*y**7 + 3*y - 8/75*y**6 + 0*y**3 + 0 + 0*y**4 + 0*y**2. Factor o(z).
4*z**3*(z - 3)*(z - 1)/5
Solve 22*w**2 + 712 - 708*w - 3*w**2 - 22*w**2 - w**2 = 0 for w.
-178, 1
Let a(j) = 5*j**2 + 14*j + 4. Let q(r) = -70*r**2 - 195*r - 55. Let u be (-4)/18 + (-170)/45. Let h(c) = u*q(c) - 55*a(c). Factor h(g).
5*g*(g + 2)
Let f be (6/(-2))/(((-84)/(-8))/(-7)). Suppose -o + 9 = f*o. What is z in -2/3 - 2/3*z + 2/3*z**2 + 2/3*z**o = 0?
-1, 1
Let i be 6/(-15) - (-51)/15. Suppose -5*f = -3*c + 5*c - 3, -i*f = c - 1. Solve -9*t**2 - 2*t**4 + 6*t**4 - t**c + 6*t**2 = 0 for t.
-1, 0, 1
Let l = 2717 - 2717. Let i(z) be the third derivative of 4*z**2 + 0*z**5 - 1/600*z**6 + 0 + 0*z + 0*z**4 + l*z**3. Factor i(o).
-o**3/5
Factor -91*i**2 + 36 - 24*i + 93*i**2 - 14*i.
2*(i - 18)*(i - 1)
Suppose -5*q - 35 = -5*l, -2*q - 3*q - 43 = -l. Let r be (2*-1)/(6/q). Factor y + 1/2*y**4 + 0*y**2 - 1/2 - y**r.
(y - 1)**3*(y + 1)/2
Let k(o) be the first derivative of 2*o**3/3 + 14*o**2 + 80*o + 124. Factor k(w).
2*(w + 4)*(w + 10)
Let c = -8250 + 16505/2. Factor c*o**3 - 5/2*o**4 + 0 - 10*o + 10*o**2.
-5*o*(o - 2)*(o - 1)*(o + 2)/2
Let m(a) be the third derivative of -a**6/600 + a**5/300 + 2*a**4/15 - 8*a**3/15 + 240*a**2. Factor m(f).
-(f - 4)*(f - 1)*(f + 4)/5
Factor -98/3*v**2 - 8/3 + 56/3*v.
-2*(7*v - 2)**2/3
Let s be -3*(7 + 320/(-45)). Let g(k) be the first derivative of 1/2*k**2 + 5 + s*k**3 + 0*k. Solve g(y) = 0 for y.
-1, 0
Find x, given that 1092*x**3 + 735/2*x**4 + 240*x + 24 + 828*x**2 = 0.
-2, -2/5, -2/7
Let d(y) be the first derivative of -y**4/5 + 52*y**3/15 - 4*y**2 - 96*y/5 + 347. Factor d(o).
-4*(o - 12)*(o - 2)*(o + 1)/5
Let o be -36*3*(-5)/45. Suppose -6 = o*v - 15*v. Find y such that 6/13*y - 2/13*y**v - 4/13 = 0.
1, 2
Let n(v) be the first derivative of -3/4*v**4 - 1029*v - 43 - 21*v**3 - 441/2*v**2. Factor n(t).
-3*(t + 7)**3
Suppose -16 = -4*l - 0*l. Suppose 8 + 0 = l*t. Suppose 9*p + 1 + 3 - 9*p**5 + 6*p**5 - 1 - 6*p**3 - 9*p**4 + 6*p**t = 0. Calculate p.
-1, 1
Let k = 18 + -15. Let s be -4 + 3 + 0 + k. Factor 4*w**2 - w - 3*w**2 + 0*w + 0*w**s.
w*(w - 1)
Let n = -834 - -836. Factor -28/3*v**n + 0 - 8/3*v - 12*v**3 - 20/3*v**4 - 4/3*v**5.
-4*v*(v + 1)**3*(v + 2)/3
Let s = -12/5 + 46/15. Let t be 0/5*(-2)/2. Factor -s*n**4 + t + 2/3*n + 2/3*n**2 - 2/3*n**3.
-2*n*(n - 1)*(n + 1)**2/3
Let b(j) be the second derivative of -j**6/15 + j**5/5 + j**4/6 - 2*j**3/3 - 82*j. Determine s so that b(s) = 0.
-1, 0, 1, 2
Let y(l) = l**3 + 2*l - 3. Let p(c) = -c**3 + 14 + 3*c - 27 + 2*c**3 + 9. Let k(s) = -s**2 + 3*s + 4. Let z be k(3). Let v(t) = z*y(t) - 3*p(t). Factor v(u).
u*(u - 1)*(u + 1)
Suppose -71*r = -16*r. Factor 4/3*b**3 + r + 0*b + 0*b**2 - 4/3*b**4.
-4*b**3*(b - 1)/3
Suppose -8*b = -14*b + 24. Factor -2 + 182*i**2 + 20*i**5 + 105*i**b + 205*i**3 + 75*i + 3*i**2 + 12.
5*(i + 1)**3*(i + 2)*(4*i + 1)
Let t = 47/10 - 16/5. Let x(o) be the first derivative of -3/4*o**4 + 0*o**3 + t*o**2 + 5 + 0*o. Factor x(a).
-3*a*(a - 1)*(a + 1)
Let b be 13 - 7 - (-399)/(-84). Factor -b*c**3 - 5/4*c**4 + 5/4*c**2 + 0*c + 0 + 5/4*c**5.
5*c**2*(c - 1)**2*(c + 1)/4
Suppose -507*a - 21*a**5 - 107*a**2 + 50*a**2 + 39*a**3 + 57*a**4 + 489*a = 0. What is a?
-1, -2/7, 0, 1, 3
Suppose -74*j = -71*j - 72. Factor -8/3 - 54*p**2 + j*p.
-2*(9*p - 2)**2/3
Let s(g) = g**3 - 192*g**2 + 913*g - 1165. Let n(z) = -64*z**2 + 304*z - 388. Let t(d) = 11*n(d) - 4*s(d). Factor t(y).
-4*(y - 7)**2*(y - 2)
Let m be (-140)/(-90) - ((1 - 244/36) + 6). Factor 2/3*q**3 + m*q - 10/3*q**2 + 16/3.
2*(q - 4)*(q - 2)*(q + 1)/3
Factor -9/5*a**3 - 6*a**2 - 1/5*a**4 - 24/5 - 44/5*a.
-(a + 2)**3*(a + 3)/5
Let y(o) be the first derivative of -2*o**5/5 + 9*o**4 - 22*o**3 + 16*o**2 + 36. Suppose y(n) = 0. Calculate n.
0, 1, 16
Let t(q) = -q**2 - 2*q + 3. Let p(b) = b**2 - 3. Let s(k) = 2*p(