**3/33 - 48*v**2/11 + 6*v - 42. Suppose a(c) = 0. Calculate c.
-6, 8
Let d be ((-20350)/34188)/(10/(-24)). Factor 2/7*i + 8/7 - d*i**2.
-2*(i - 1)*(5*i + 4)/7
Let k = -7369/2 - -3686. Factor 1/2 - 3/2*t + k*t**2 - 1/2*t**3.
-(t - 1)**3/2
Suppose -4*d + 29 = 2*v + v, 0 = 2*v + 4*d - 26. Suppose 15 = 3*g - v. Factor 3*y**4 - g*y**3 + 3*y**4 - 3*y**4.
3*y**3*(y - 2)
Let q(w) = -w**2 - 2*w + 6. Suppose -4*g - 80 = -68. Let i be q(g). Factor 2/3*v**i + 0*v + 2*v**2 - 8/3.
2*(v - 1)*(v + 2)**2/3
Determine l, given that 2/9*l**3 + 0 - 8/9*l**2 + 0*l = 0.
0, 4
Suppose -170*s - 64*s**2 + 5*s**5 + 49*s**4 - 15*s**3 - 201*s**2 + 36*s**4 = 0. Calculate s.
-17, -1, 0, 2
Let y(q) = q**2 + 13*q - 50. Let m be y(-14). Let s be (-188)/m + 30/(-6). Solve 0*h + 0*h**4 + 2/9*h**3 + 0 + 0*h**2 - s*h**5 = 0 for h.
-1, 0, 1
Let h be ((-176)/(-264) + 26/(-21))/(10/(-70)). Solve -c**5 - 7/2*c**3 + 7/2*c**h + c**2 + 0 + 0*c = 0.
0, 1/2, 1, 2
Let a be (27/(-2))/(187/(-544)). Let u = a + -3778/99. Determine s so that -u*s + 2/9*s**3 - 2/3*s**2 - 4/9 + 2/9*s**4 = 0.
-1, 2
Let j = 565 + -11299/20. Let m(k) be the second derivative of k - 3/10*k**2 - j*k**4 + 0 - 1/5*k**3. Determine c, given that m(c) = 0.
-1
Let n(i) = i**3 - 27*i**2 + 363*i - 1337. Let r(z) = -z**2 + 3 - 2 - z**2 + z**2. Let y(l) = -n(l) - 6*r(l). Determine c so that y(c) = 0.
11
Let o be (120/(-300))/((-2)/10). Let n(b) be the first derivative of 1/12*b**3 - 9 + 1/4*b**o + 1/4*b. Suppose n(q) = 0. Calculate q.
-1
Let g = 54 - 28. Let b be (5 - 3) + g/(-14). Factor 1/7*l**3 + 0*l + 0 - 2/7*l**4 + b*l**5 + 0*l**2.
l**3*(l - 1)**2/7
Let r be ((-1605)/5350)/(-1 + 15/8 + -1). Factor 8/5*l**2 + 4/5*l**4 + 0 - r*l**3 + 0*l.
4*l**2*(l - 2)*(l - 1)/5
Let x = -68 - -56. Let u(a) = -8*a**3 + 52*a**2 + 20*a - 40. Let w(j) = -3*j**3 + 21*j**2 + 8*j - 16. Let h(p) = x*w(p) + 5*u(p). Factor h(m).
-4*(m - 2)*(m - 1)*(m + 1)
Factor 76*i**4 + 78*i**4 - 218*i**4 + 76*i**4 + 40*i**2 + 46*i**3 - 8*i.
2*i*(i + 2)**2*(6*i - 1)
Suppose -h - 4 = -0*h, 4*h + 6 = -2*p. Let k = -57/196 - -51/49. Let 3/4*i**p + 9/4*i**2 - 3/2*i - 9/4*i**4 + 0 + k*i**3 = 0. Calculate i.
-1, 0, 1, 2
Let d(x) be the first derivative of -x**5/12 + 25*x**4/18 + 55*x**3/18 - 20*x + 12. Let l(v) be the first derivative of d(v). Suppose l(f) = 0. What is f?
-1, 0, 11
Suppose -5*y - 6 + 91 = 0. Suppose o - 11 = -3*d, o + d = -4*d + y. Determine b, given that 10*b**3 + 0*b**4 + 7*b**2 + 10*b + 4 + 4*b + 11*b**o + 2*b**4 = 0.
-2, -1
Suppose p = 1 + 1. Let d(z) = 12*z**2 + 27*z - 12. Let g(h) = -h**2 - 2*h + 1. Let i(m) = p*d(m) + 27*g(m). Factor i(c).
-3*(c - 1)*(c + 1)
Let g(q) be the first derivative of -5*q**3/3 + 105*q**2/2 + 110*q + 128. Factor g(j).
-5*(j - 22)*(j + 1)
Let a = -2 + 2. Let u = 6353 + -6349. Suppose 3/4*v**u + a*v - 1/2*v**3 + 0 + 0*v**2 - 1/4*v**5 = 0. Calculate v.
0, 1, 2
Let n be (-4)/(-6)*(-4 + (-285)/(-60)). Let n*t**2 - 1/2*t**4 - t**3 + 0 + t = 0. What is t?
-2, -1, 0, 1
Let i(x) = x**3 + 9*x**2 + 4*x + 4. Let f be i(-5). Suppose -2*a - 30 = -f. Solve -w**2 - 2*w**2 - a*w + 18*w = 0.
-3, 0
Suppose a = -0 + 16. Suppose -4*s + 4*s**2 + 20*s**3 - a*s**3 - 4 + 0 = 0. Calculate s.
-1, 1
Let f(i) = i**4 + 5*i**3 + 12*i**2 + 8*i - 5. Let p(v) = 2*v**3 + 6*v**2 + 4*v - 2. Let l(y) = -2*f(y) + 5*p(y). Factor l(o).
-2*o*(o - 2)*(o + 1)**2
Let n(s) be the third derivative of s**6/60 + 109*s**5/30 - 3*s**2 - 87. Suppose n(d) = 0. What is d?
-109, 0
Suppose 0 = 5*x - 2*x + 630. Let h = x + 1056/5. Factor -2/5*u**2 + 0*u - 4/5*u**5 + h*u**4 + 0 + 0*u**3.
-2*u**2*(u - 1)**2*(2*u + 1)/5
Let j = 18242 + -18240. Factor -1/6*s**j - 2/3*s + 5/6.
-(s - 1)*(s + 5)/6
Suppose 3*w - 9 - 9 = 0. Find a, given that 0 + 6 + 12*a - 6*a**2 - 3*a - 3*a**3 - w*a = 0.
-2, -1, 1
Determine r so that -33/2 - 21/8*r**2 - 3/8*r**3 + 15*r = 0.
-11, 2
Suppose -148/5*x - 2/5*x**2 - 2738/5 = 0. Calculate x.
-37
Let d(a) be the second derivative of 0 - 1/50*a**5 - 7*a - 2/15*a**3 - 1/10*a**4 + 0*a**2. Suppose d(l) = 0. What is l?
-2, -1, 0
Let h(v) = v**2 + 7*v + 12. Let y be h(-6). Suppose -4*z + z = -y*z. Find q, given that z - 3/7*q**2 - 6/7*q = 0.
-2, 0
Let h be (-32)/(-18) + (-94)/(-423). Let r(v) be the second derivative of 3/8*v**h + 12*v - 1/16*v**4 + 0*v**3 + 0. Factor r(z).
-3*(z - 1)*(z + 1)/4
Let i(u) be the third derivative of 0 - 1/15*u**5 + 0*u**4 + 0*u + 2/3*u**3 + u**2. Factor i(m).
-4*(m - 1)*(m + 1)
Suppose 3*f = 6*f - 9. Solve -8 + 11*x**2 + 0*x + x**3 - f*x**3 + 2*x - 3*x**2 = 0.
-1, 1, 4
Let l(o) be the third derivative of o**8/1008 - 17*o**7/630 + 7*o**6/40 + 9*o**5/20 + o**2 - 12*o. Find i such that l(i) = 0.
-1, 0, 9
Suppose -14 + 50 = -18*o. Let j be 3/o - (-14 + 12). Factor 1/2*c**3 - c + 3/2*c**4 + 0 - 3/2*c**2 + j*c**5.
c*(c - 1)*(c + 1)**2*(c + 2)/2
Let o be -11*(-1 + 23)*(-1)/(2 + 7). Factor -o - 44/9*l - 2/9*l**2.
-2*(l + 11)**2/9
Let t(w) = 6*w**2 - w + 6. Suppose -96 + 52 = 4*c. Let p(d) = d**2 + 1. Let j(h) = c*p(h) + 2*t(h). Determine b so that j(b) = 0.
1
Let h(j) be the second derivative of j**5/120 + 17*j**4/36 + 65*j**3/36 + 8*j**2/3 - 179*j + 2. Factor h(o).
(o + 1)**2*(o + 32)/6
Let n(k) = k**2 - 104*k. Let d(b) = 3*b**2 - 217*b. Let v(q) = 2*d(q) - 5*n(q). Factor v(r).
r*(r + 86)
Let f be (4 + -4)/(-1 - -2). Suppose f*z - 2*z - 5*n + 10 = 0, -3*z - 5*n = -15. Let -4*g**2 - 5*g**3 + 3*g**2 + g**3 + g**4 + z*g**3 - g = 0. What is g?
-1, 0, 1
Let m be 0 + 3 - (4 + -1). Suppose m = -d - 3*x + 6*x + 13, 5*x - 120 = -4*d. Let 13*v**2 + 5*v**3 + 7*v**2 - 8*v + 8*v**2 - d*v**3 = 0. What is v?
0, 2/5, 1
Let d be -6 - 671/(-66) - 4. Let k(f) be the second derivative of -7*f + 1/135*f**6 - 7/27*f**3 + d*f**4 - 1/18*f**5 + 2/9*f**2 + 0. What is a in k(a) = 0?
1, 2
Let w(i) be the first derivative of -2/3*i**3 - 3*i - 5/2*i**2 + 46. Find v such that w(v) = 0.
-3/2, -1
Factor 0*s - 2/15*s**3 + 0 - 2/15*s**5 + 0*s**2 - 4/15*s**4.
-2*s**3*(s + 1)**2/15
Let n(d) = d**3 + 5*d**2 - 14*d + 6. Let a be n(-7). Determine x, given that -2*x - 8*x**2 + a - x**3 + 8*x + 30 - x**3 = 0.
-3, 2
Let y be (-17850)/(-3458) + (-2 - -3*1). Let o = 120/19 - y. Factor 0 + o*r**2 + 6/13*r.
2*r*(r + 3)/13
Suppose 9 = 3*a - 2*j, 8*a - 15 = 3*a - j. Let h(x) be the third derivative of 0 + 5*x**2 + 0*x - 5/8*x**4 - 3/2*x**a - 1/20*x**5 + 1/40*x**6. Factor h(y).
3*(y - 3)*(y + 1)**2
Let c(u) be the third derivative of u**6/30 + 2*u**5/5 - 2*u**2 - 14. Solve c(f) = 0.
-6, 0
Factor -1/9*h**5 - 169/9*h**3 + 0*h**2 + 0 + 0*h + 26/9*h**4.
-h**3*(h - 13)**2/9
Let r(n) be the first derivative of -4*n**3/3 + n**2/2 + 10*n - 1. Let z(q) = 3*q**2 - q - 7. Let u(m) = -5*r(m) - 7*z(m). Factor u(p).
-(p - 1)**2
Let i be (-16)/12*(-9)/(-21)*70/(-12). Factor 20/3*g**2 - 10/3*g - 20/3*g**3 + i*g**4 - 2/3*g**5 + 2/3.
-2*(g - 1)**5/3
Let r(v) be the first derivative of -65/2*v**2 - 10*v + 9*v**5 - 18 - 115/3*v**3 - 15/4*v**4. Let r(u) = 0. Calculate u.
-1, -1/3, 2
Find o, given that 2 + 2244*o**2 + 2 - 2248*o**2 + 4*o**3 - 4*o = 0.
-1, 1
Let w(g) be the third derivative of 0*g + 0 + 0*g**5 + 1/8*g**4 + 32*g**2 - 1/120*g**6 - 1/3*g**3. Factor w(y).
-(y - 1)**2*(y + 2)
Find o such that 8/3*o + 4/3*o**4 + 80/9 - 68/9*o**2 - 2/9*o**5 + 2/9*o**3 = 0.
-2, -1, 2, 5
Let n(g) be the second derivative of -6*g + 0*g**2 + 0 - 5/24*g**4 - 1/16*g**5 - 5/24*g**3. Factor n(a).
-5*a*(a + 1)**2/4
Let f(z) be the first derivative of -1/2*z**4 - 8 - 14/9*z**3 - 2/3*z**2 + 5/9*z**6 + 0*z + 14/15*z**5. Determine v so that f(v) = 0.
-1, -2/5, 0, 1
Let v(p) be the second derivative of 9*p**2 - 15*p + 0 - 3/2*p**4 + 1/3*p**3 - 1/10*p**5. Factor v(g).
-2*(g - 1)*(g + 1)*(g + 9)
Let p = -862 - -862. Let v(l) be the third derivative of 0*l + 0*l**3 - 1/5*l**5 - 8*l**2 + p - 1/3*l**4 + 1/6*l**6. Solve v(x) = 0.
-2/5, 0, 1
Let q(y) be the first derivative of -y**6/180 - y**5/45 + y**4/36 + 2*y**3/9 - 29*y**2/2 + 16. Let f(b) be the second derivative of q(b). Factor f(k).
-2*(k - 1)*(k + 1)*(k + 2)/3
Let a be 2/(1 + -2) + 110/50. Let f(m) be the first derivative of 0*m**2 + 1 + 2/3*m**3 + 3/4*m**4 + 0*m + a*m**5. Solve f(v) = 0 for v.
-2, -1, 0
Let p(s) be the second derivative of -1/3*s**4 + 0 + 1/10*s**5 + 0*s**2 + 1/3*s**3 + 36*s. Factor p(d).
2*d*(d - 1)**2
Solve -1/6*p**3 - 55/2*p**2 - 166375/6 - 3025/2*p = 0 for 