**2 + 1. Let r be a(-1). Suppose -13 = -5*o + i, -5*i = 3*o + 5 + 4. Let -4*w + o + 0*w - w**r + 5*w = 0. Calculate w.
-1, 2
Factor 1/3*v**5 - v**3 - 5/3*v**2 + 1/3*v**4 + 0 - 2/3*v.
v*(v - 2)*(v + 1)**3/3
Let w = 6119/4 + -55625/36. Let d = 10/9 - w. Solve d*s**4 + 3/2*s**2 + 0 + 6*s**5 - 3/2*s + 27/2*s**3 = 0 for s.
-1, 0, 1/4
Let o(h) be the third derivative of -h**6/40 - 3*h**5/5 - 21*h**4/8 - 5*h**3 + 28*h**2. Solve o(i) = 0 for i.
-10, -1
Suppose 0*s = -3*s + 48. Suppose -s = -3*d - d. Factor 12*a + 3*a + d + 18*a**2 + 7*a.
2*(a + 1)*(9*a + 2)
Let b(r) = 20*r - 40. Let z be b(8). Let i = z + -477/4. Suppose 1/4*d**2 + i - d = 0. What is d?
1, 3
Determine v, given that -24/5 + 12/5*v**3 + 12/5*v**2 - 28/5*v - 4/5*v**4 = 0.
-1, 2, 3
Let h be (798/(-9))/(6/9). Let a = 137 + h. Solve -2/3*n + 0*n**3 - n**2 + 1/3*n**a + 0 = 0 for n.
-1, 0, 2
Let t(f) be the second derivative of 65*f**7/42 - 41*f**6/6 + 3*f**5/2 - f + 211. Factor t(a).
5*a**3*(a - 3)*(13*a - 2)
Suppose -8 = -5*d - 5*l + 7, 3*l = -d - 3. Let q be d/15 + (18/105)/1. Suppose -10/7*x**2 + 6/7*x + q = 0. Calculate x.
-2/5, 1
Suppose 5*x - 9 = 2*x - 3*v, 3*x - 4*v = 9. Factor -12*m**4 - 36*m**x - 19*m - 3 - 17*m**2 - 22*m**2 + m.
-3*(m + 1)**2*(2*m + 1)**2
Let g be (10 - (-2 - (-6 - 3)))/1. Let y(l) be the first derivative of -6/35*l**5 - 3/14*l**4 + 7 + 0*l**2 - 1/21*l**6 + 0*l - 2/21*l**g. What is a in y(a) = 0?
-1, 0
Let l(u) be the second derivative of -2/21*u**7 + 0*u**3 - 1/3*u**4 + 0 + 0*u**2 - 2/5*u**6 - 3/5*u**5 - 2*u. Factor l(c).
-4*c**2*(c + 1)**3
Let h(l) be the first derivative of l**3/6 - 7*l**2/4 + 5*l - 377. Let h(y) = 0. What is y?
2, 5
Let f(i) be the second derivative of i**6/30 + 9*i**5/20 - i**4/12 - 3*i**3/2 - 2*i - 26. Factor f(b).
b*(b - 1)*(b + 1)*(b + 9)
Let s(j) be the third derivative of -j**7/175 + 11*j**6/300 - 4*j**5/75 - j**4/15 + 7*j**2 - 5. Solve s(u) = 0 for u.
-1/3, 0, 2
Let p(g) be the first derivative of -g**4/8 + 7*g**3/6 + g**2/4 - 7*g/2 + 37. Let p(b) = 0. Calculate b.
-1, 1, 7
Let p(r) be the second derivative of -35/12*r**4 + 95/6*r**3 + 0 + 15*r**2 - 28*r. Factor p(q).
-5*(q - 3)*(7*q + 2)
Let c(r) be the first derivative of 2*r**5/35 + 17*r**4/7 + 128*r**3/21 - 380. Factor c(l).
2*l**2*(l + 2)*(l + 32)/7
Let k(w) be the third derivative of -16*w**2 + 5/3*w**4 + 8/3*w**3 + 3/5*w**5 + 0*w + 7/60*w**6 + 0 + 1/105*w**7. Factor k(m).
2*(m + 1)*(m + 2)**3
Let m(c) be the second derivative of -5/6*c**4 - 32*c - 1/4*c**5 + 0 + 5/6*c**3 + 5*c**2. Factor m(u).
-5*(u - 1)*(u + 1)*(u + 2)
Let i(c) be the third derivative of -c**6/360 - 2*c**2 + 45. Determine g, given that i(g) = 0.
0
Let r(o) be the second derivative of o**4/66 - 38*o**3/11 + 3249*o**2/11 + 205*o + 1. Suppose r(b) = 0. Calculate b.
57
Let b = 15704/86493 - -2/7863. Find f such that 2/11 + 0*f - 4/11*f**2 + 0*f**3 + b*f**4 = 0.
-1, 1
Let u(a) = a**2 - 9*a + 26. Let x be u(5). Let j(n) be the second derivative of 0*n**3 - 1/10*n**5 + 3*n + 0 + 1/12*n**4 + 1/30*n**x + 0*n**2. Factor j(d).
d**2*(d - 1)**2
Determine z, given that 10/7*z**4 + 18/7 - z - 4*z**2 + 1/7*z**5 + 6/7*z**3 = 0.
-9, -2, -1, 1
Let v(d) be the first derivative of -3/4*d**2 + 9/20*d**5 + 21 + 0*d - 3/4*d**3 - 5/8*d**6 + 21/16*d**4. Solve v(c) = 0 for c.
-1, -2/5, 0, 1
Determine x, given that 8/11*x - 6/11 - 2/11*x**2 = 0.
1, 3
Let v(h) be the third derivative of h**8/2184 + 17*h**7/1365 + 21*h**6/260 - 27*h**5/130 + 127*h**2. Determine f so that v(f) = 0.
-9, 0, 1
Let y = -22 + 27. Factor -25*g + 16 - 10*g + y*g**2 + 5*g + 9.
5*(g - 5)*(g - 1)
Let b(k) be the third derivative of k**7/1785 - 11*k**6/1020 + 19*k**5/510 - 3*k**4/68 + 2*k**2 + 37*k. Suppose b(j) = 0. What is j?
0, 1, 9
Suppose -321*p = -325*p. Let a(j) be the second derivative of -11/80*j**5 + 0*j**2 - 7/60*j**6 - 1/24*j**4 + p*j**3 + 0 - 2*j. Find f such that a(f) = 0.
-1/2, -2/7, 0
Solve 0 + 18/7*t**3 + 1/7*t**4 - 200/7*t + 60/7*t**2 = 0.
-10, 0, 2
Find h, given that -10/19*h + 0 + 2/19*h**2 = 0.
0, 5
Factor -51 + 48*x + 61 + 4*x**2 + 28*x + 62.
4*(x + 1)*(x + 18)
Suppose 5*s - h = 778 + 429, -15 = -5*h. Factor 122*a**2 + 15*a - s*a**2 - 12 + 117*a**2.
-3*(a - 4)*(a - 1)
Let l(d) be the third derivative of -d**8/1176 - 29*d**7/735 - 149*d**6/210 - 207*d**5/35 - 81*d**4/4 - 243*d**3/7 - 645*d**2. Factor l(y).
-2*(y + 1)**2*(y + 9)**3/7
Factor -248832 + 2/3*i**3 - 144*i**2 + 10368*i.
2*(i - 72)**3/3
Let v = 1224 - 42802/35. Let b = -4/5 + v. Factor 4/7 - b*a - 2/7*a**2.
-2*(a - 1)*(a + 2)/7
Suppose 14 = 7*l - 0*l. Factor -2/5 + 2/5*h**l + 0*h.
2*(h - 1)*(h + 1)/5
Let r(a) = 2*a**3 + 3*a**2 - a - 1. Let m(u) = 5*u**4 + 145*u**3 + 145*u**2 - 235*u - 15. Let i(x) = m(x) - 15*r(x). Factor i(f).
5*f*(f - 1)*(f + 2)*(f + 22)
Determine j so that -126*j**2 - 30 - 35*j - 130*j**2 - 124*j**2 + 375*j**2 = 0.
-6, -1
Let 365/6*l**3 + 31/6*l - 75/2*l**4 - 169/6*l**2 - 1/3 = 0. Calculate l.
1/5, 2/9, 1
Let v = -35 - -34. Let j(q) = q**4 - q**2 + q. Let i(h) = -4*h**5 - 5*h**4 + 8*h**3 + h**2 - h. Let g(b) = v*j(b) - i(b). Suppose g(f) = 0. What is f?
-2, 0, 1
Let n(r) be the second derivative of -9*r**7/70 + 51*r**6/50 + 69*r**5/100 - 31*r**4/20 + 3*r**3/5 - 212*r. What is d in n(d) = 0?
-1, 0, 1/3, 6
Factor 576*t + 161*t**3 - 471*t**3 + 864 + 78*t**2 + 157*t**3 + 156*t**3.
3*(t + 2)*(t + 12)**2
Let s be (5/110)/(6/33). Factor 1/4*n + 0 + s*n**3 - 1/2*n**2.
n*(n - 1)**2/4
Determine r, given that 88*r - 676 - 186*r - r**2 + 46*r + 0*r**2 = 0.
-26
Let b(z) be the first derivative of 3*z + 2/3*z**2 - 1/12*z**4 + 1/90*z**6 - 13 - 1/30*z**5 + 2/9*z**3. Let d(l) be the first derivative of b(l). Factor d(y).
(y - 2)**2*(y + 1)**2/3
Let r be ((-2)/8 + (-21)/84)*672/(-36). Factor 40/3 - 44*c - r*c**2.
-4*(c + 5)*(7*c - 2)/3
Let y(j) = -9*j**3 - 5*j**2 - 120*j - 108. Let f(k) = k**3 - 2*k**2 + 1. Let z(p) = 24*f(p) + 3*y(p). Factor z(g).
-3*(g + 1)*(g + 10)**2
Let t(a) be the third derivative of -1/140*a**5 - 11*a**2 + 0*a + 1/168*a**4 + 0 + 0*a**3. Factor t(b).
-b*(3*b - 1)/7
Let n(k) = -5*k**3 + 3*k - 5. Let i = -1 - -2. Let o(z) = z**3 - z**2 + z. Let w(f) = i*n(f) + 6*o(f). Let p(l) be the first derivative of w(l). Factor p(q).
3*(q - 3)*(q - 1)
Find f, given that 3*f**2 - 18/5*f + 3/5*f**3 + 0 = 0.
-6, 0, 1
Let y(x) be the second derivative of x**7/21 + x**6/5 - 3*x**5/10 - 11*x**4/6 - 2*x**3 - 106*x. Factor y(h).
2*h*(h - 2)*(h + 1)**2*(h + 3)
Let u(m) be the second derivative of -7*m + 0*m**2 + 1/4*m**4 + 2*m**3 + 0. What is l in u(l) = 0?
-4, 0
Let g = 1507 + -1501. Let r(i) be the third derivative of 0 - 1/30*i**5 + 0*i + 0*i**4 + 0*i**3 - 1/20*i**g - 2/105*i**7 - 5*i**2. Factor r(w).
-2*w**2*(w + 1)*(2*w + 1)
Let h(p) = 10*p - 3. Let r be h(0). Let f be 3 + r*(-1 + 8/12). Find u such that -2/5*u**f - 4/5 + 6/5*u**2 - 2/5*u + 2/5*u**3 = 0.
-1, 1, 2
Let y be (-77)/33 - (-1 + (-6)/(-9)). Let b be 4 + ((-714)/216 - y/(-8)). Find x such that -10/9*x**5 + 0 - b*x + 22/9*x**2 + 34/9*x**4 - 14/3*x**3 = 0.
0, 2/5, 1
Let 1/2*o**5 + 5/2*o**3 + 0 + 2*o**4 + 0*o + o**2 = 0. Calculate o.
-2, -1, 0
Suppose -q**4 + 76*q - 3*q**4 - 3*q**3 + 5*q**2 + 3*q**4 - q**5 + 2*q**5 - 78*q = 0. Calculate q.
-2, 0, 1
Let 0 + 4*q**3 - 9/2*q + 1/2*q**5 + 3*q**4 - 3*q**2 = 0. Calculate q.
-3, -1, 0, 1
Let b(m) be the third derivative of 15*m**2 + 0*m**4 + 0*m**3 + 0 + 1/420*m**7 - 1/448*m**8 - 1/120*m**5 + 1/160*m**6 + 0*m. Find d, given that b(d) = 0.
-1, 0, 2/3, 1
Let a(v) be the third derivative of -v**9/90720 + v**8/30240 + v**7/3780 + v**5/15 - 9*v**2. Let d(b) be the third derivative of a(b). Solve d(c) = 0 for c.
-1, 0, 2
Let k be 156/42 - 2/(-7). Factor 4*p**2 + k*p**3 + 5*p**2 + 3*p**2.
4*p**2*(p + 3)
Let d(g) = 8*g + 128. Let t be d(-16). Let x(k) be the first derivative of 2 - 2/33*k**3 + t*k + 2/11*k**2. Factor x(v).
-2*v*(v - 2)/11
Suppose -9*p - 17 = -5*b - 8*p, -p = -4*b + 13. Suppose -7/3*x**5 + 0*x + b*x**4 - 2/3*x**2 - x**3 + 0 = 0. Calculate x.
-2/7, 0, 1
Factor 2*p**3 + 81/2*p**2 - 32*p - 21/2.
(p - 1)*(p + 21)*(4*p + 1)/2
Let n be (-1 - -2)/(2/2). Let r be (3 + -4)*(-2 - n). Solve -6*p + 2*p**r - 8*p + 12*p = 0 for p.
-1, 0, 1
Let s(w) = 4*w**2 + 5*w + 60. Let m(n) = 2*n**2 + 4*n + 30. Let g(v) = 9*m(v) - 4*s(v). Factor g(a).
2*(a + 3)*(a + 5)
Let h(b) be the second derivati