**2. Let m(q) be the first derivative of f(q). Factor m(b).
-3*b*(b - 1)*(4*b + 1)
Let d(w) = -w**2 + 6*w - 6. Let x be d(4). Suppose m = -x*m - 0*m. What is o in -2/9*o**2 + 2/9*o + m = 0?
0, 1
Let i be (-5)/(-10) + (198/(-4))/3. Let x = 18 + i. Let 0 - p**5 - 3/2*p**3 + 1/2*p - 1/2*p**x + 5/2*p**4 = 0. What is p?
-1/2, 0, 1
Let w(j) = 15*j**2 + 13*j - 2. Let n(z) = -z**2 - z. Suppose -6 = -u - 5*u. Let t(q) = u*w(q) + 2*n(q). Find g such that t(g) = 0.
-1, 2/13
Let c(a) be the third derivative of -1/90*a**5 + 0*a**3 - 30*a**2 + 0 + 0*a - 1/9*a**4. Find b, given that c(b) = 0.
-4, 0
Let u(y) = 324*y**3 - 60*y**2 - 192*y - 44. Let f(b) = 11*b**2 - 1 + 35*b + 9 - 26*b**3 - 33*b**3. Let s(g) = 28*f(g) + 5*u(g). Let s(v) = 0. Calculate v.
-1/2, -1/4, 1
Let s(a) be the first derivative of a**4/6 + 58*a**3/9 + 65*a**2 - 150*a - 105. Suppose s(n) = 0. What is n?
-15, 1
Let g be (-12 - (-1440)/117)*2. Factor g*s + 0 + 2/13*s**3 - 8/13*s**2.
2*s*(s - 2)**2/13
Let s(x) = -1. Let f(v) = -v**2 + 13. Let m be 2*(3 - (-20)/(-8)). Let d(q) = m*f(q) + 4*s(q). Factor d(y).
-(y - 3)*(y + 3)
Determine k, given that 8/3*k**2 - 2/9*k**3 - 22/9*k + 0 = 0.
0, 1, 11
Let a(t) be the third derivative of 0 - 12/5*t**3 - 22*t**2 + 0*t - 1/150*t**5 - 1/5*t**4. Factor a(i).
-2*(i + 6)**2/5
Let o = -85 + 114. Determine f so that -588*f**2 - 26*f - 142*f - 294*f**2 - 37 + o = 0.
-2/21
Solve 0 + 2/9*q**2 - 2/9*q = 0 for q.
0, 1
Let k be (-2 - (-3 - -1))/(2 + (-52)/13). Factor 0*w**4 + 0*w**2 - 2/3*w**5 + k + 4/3*w**3 - 2/3*w.
-2*w*(w - 1)**2*(w + 1)**2/3
Suppose 178*k - 182*k = 116. Let l = k - -147/5. Factor 0 + 2/5*u**2 - l*u.
2*u*(u - 1)/5
Let h(s) = 7*s - 10. Let o be h(5). Suppose -31 = -2*b - o. Find l, given that -l**b - 1/3*l**4 - 2/3*l + 0 + 1/3*l**5 + 5/3*l**2 = 0.
-2, 0, 1
Let m be (31760/(-168))/10 - -19. Factor 4/7 + 10/21*k + m*k**2.
2*(k + 2)*(k + 3)/21
Let y(v) be the second derivative of -v**7/2520 - v**6/240 + v**5/30 - 3*v**4/4 - 8*v. Let q(a) be the third derivative of y(a). Determine k so that q(k) = 0.
-4, 1
Solve -14/3*a - 40/9 - 2/9*a**2 = 0.
-20, -1
Let d(g) = -g**3 + g**2 + 5*g - 1. Let h be d(2). Suppose -h*f + f = 5*v - 41, -5*v = f - 29. Solve -3/2*r**2 - 1/4 - 1/4*r**f - r - r**3 = 0.
-1
Factor 12*v**4 + 234*v**3 - 12*v**2 - 8*v + 0*v**2 + 4*v**5 - 230*v**3.
4*v*(v - 1)*(v + 1)**2*(v + 2)
Let h(z) be the first derivative of 3*z**5/5 - 3*z**4/4 - 77. Factor h(o).
3*o**3*(o - 1)
Let v(s) = -5*s**3 + 2*s**2 - 15*s. Let x(l) = 4*l**3 - 5*l**2 + 16*l. Let d(k) = 5*v(k) + 6*x(k). Solve d(m) = 0.
-21, 0, 1
Factor -62*d**2 + 127*d + 2*d**3 + 82*d**2 - 48 - 101*d.
2*(d - 1)*(d + 3)*(d + 8)
Let -428/7*d - 288/7*d**2 - 190/7 - 2/7*d**4 - 52/7*d**3 = 0. Calculate d.
-19, -5, -1
Let v(c) be the first derivative of -c**4/8 - c**3 + 15*c**2/4 - 8*c + 29. Let t(k) be the first derivative of v(k). Solve t(i) = 0 for i.
-5, 1
Suppose -100 = -6*v + v. Suppose t + v = 6*t. Let -n**3 + 5*n**3 + 0*n**4 - 5*n**5 + 2*n**t + 3*n**5 = 0. What is n?
-1, 0, 2
Let h(l) be the second derivative of 4/11*l**2 - 9*l - 1/22*l**4 + 1/110*l**5 + 0 + 0*l**3. Suppose h(k) = 0. What is k?
-1, 2
Let l(u) = u**2 - 7*u - 3. Let o be l(6). Let j(h) = -5*h**2 + 12*h - 1. Let d(f) = -2*f**2 + 6*f. Let x(s) = o*d(s) + 4*j(s). What is y in x(y) = 0?
-2, -1
Let u(i) = 95*i**2 + 80*i + 21. Suppose 6*g + 18 = -0*g. Let z(d) = -47*d**2 - 40*d - 11. Let j(h) = g*u(h) - 5*z(h). Find s such that j(s) = 0.
-2/5
Let m(v) = v**3 - 2*v**2 + 2*v + 2. Let u(f) = 10*f**3 + 45*f**2 - 270*f + 310. Let i(j) = 5*m(j) - u(j). Factor i(b).
-5*(b - 2)**2*(b + 15)
Let h(a) be the second derivative of 3*a**5/5 + 20*a**4/3 - 14*a**3/3 + 308*a. Factor h(y).
4*y*(y + 7)*(3*y - 1)
Let 5*y**3 - 8*y - y**4 + 3*y**2 + 3 + 2*y**2 - 5 - 4*y**2 - y**5 + 6 = 0. Calculate y.
-2, 1
Suppose -4*n - 116 = -8*n. Let g = n - 27. Factor 27 + 7*w**2 + 2*w**g - 14*w + w**3 + 41*w.
(w + 3)**3
Let h(i) = -11*i**2 - 49*i - 172. Let x(t) = -13*t**2 - 50*t - 173. Let p(n) = 5*h(n) - 4*x(n). Factor p(z).
-3*(z + 7)*(z + 8)
Let y(t) be the first derivative of 14*t**6/15 + 22*t**5/25 - t**4/2 - 4*t**3/15 + 62. Find u, given that y(u) = 0.
-1, -2/7, 0, 1/2
Suppose -3*r + r = -6. Suppose 0*w + 3*w - 9 = 0. Factor m**3 + m**r + m + 0*m - w*m.
2*m*(m - 1)*(m + 1)
Let h(j) be the first derivative of -j**8/2016 - j**7/420 - j**6/360 + 2*j**2 - 3. Let y(a) be the second derivative of h(a). What is q in y(q) = 0?
-2, -1, 0
Let o(r) = 90*r - 88. Let n be o(1). Let g(i) be the third derivative of -1/420*i**5 + 0*i**3 + 0 - 1/56*i**4 + 7*i**n + 0*i. Factor g(k).
-k*(k + 3)/7
Suppose 21*c + 0*c = 84. Let a = -18 - -18. Factor 2/3*n**3 + 6*n + a + c*n**2.
2*n*(n + 3)**2/3
Factor 15/2 + 1/2*n**2 + 8*n.
(n + 1)*(n + 15)/2
Factor -4/3*r**4 - 44/3*r**2 - 8*r**3 - 8*r + 0.
-4*r*(r + 1)*(r + 2)*(r + 3)/3
Let v(m) be the first derivative of m**6/6 + 5*m**5/4 + 10*m**4/3 + 10*m**3/3 - 20*m - 24. Let s(j) be the first derivative of v(j). Factor s(n).
5*n*(n + 1)*(n + 2)**2
Determine m so that -3*m**5 + 3 + 1982*m**4 + 6*m**3 - 1979*m**4 + 3*m**5 - 3*m**5 - 6*m**2 - 3*m = 0.
-1, 1
Suppose 34 = -10*a + 54. Solve 4/5*j**a + 0 + 6/5*j - 2/5*j**3 = 0 for j.
-1, 0, 3
Let n be (7/(-3) - 1)/(152/(-57)). Let p = -1 + 3. Factor -q**p + n*q**4 + 3/2*q**3 - 1/4 - 3/2*q.
(q - 1)*(q + 1)**2*(5*q + 1)/4
Let t(b) be the second derivative of -b**5/80 - b**4/24 + b**3/8 - 119*b + 2. Factor t(a).
-a*(a - 1)*(a + 3)/4
Let t(r) be the second derivative of 0 + 0*r**3 + 0*r**2 + 0*r**5 + 1/48*r**4 - r - 1/120*r**6. What is q in t(q) = 0?
-1, 0, 1
Suppose 4*d = -2*f + 36, d - 5*f = -3*d + 22. Factor d*y - 18*y + 9*y**3 - y**2 - 4*y**2 - 4*y**3.
5*y*(y - 2)*(y + 1)
Solve -2*q**2 + 0 + 2/3*q**3 - 8/3*q = 0.
-1, 0, 4
Suppose k + 208 = z, 14*z - k = 18*z - 822. Let c = -206 + z. Solve c + 3/4*r + 3/4*r**2 = 0 for r.
-1, 0
Let x(w) = -2*w**2 + 8*w - 3. Let b(a) = a**2 + 1. Suppose 0 = -3*k + 4*i - 65, 2*k = -i - 4 - 21. Let o(r) = k*b(r) - 5*x(r). Factor o(p).
-5*p*(p + 8)
Let k(s) be the first derivative of s**7/75 + s**6/150 + 9*s**2/2 + 11. Let d(y) be the second derivative of k(y). Let d(o) = 0. What is o?
-2/7, 0
Let r(f) = 252*f**3 - 260*f**2 - 4*f - 8. Let w(a) = a**4 - 253*a**3 + 262*a**2 + 5*a + 10. Let k(o) = 5*r(o) + 4*w(o). Solve k(p) = 0.
-63, 0, 1
Let p(d) be the first derivative of -8/3*d**3 - 10*d + 1/4*d**4 - 45 - 19/2*d**2. Factor p(u).
(u - 10)*(u + 1)**2
Suppose -4*j = -2 + 6. Let y be j/(-2)*1 + 0/6. Factor g - y*g**2 - 1/2.
-(g - 1)**2/2
Let f = -6522/5 + 1306. Let -1/5*m**3 - f*m - 4/5 - m**2 = 0. What is m?
-2, -1
Let z(y) = -7*y**2 + 507*y - 214. Let r be z(72). Let o be (-4)/(112/18)*-6. Find i such that o*i**r - 48/7*i - 12/7 = 0.
-2/9, 2
Suppose -2*m - 78 = 4*v, 2*v = -0*m + 5*m - 33. Let r be (-14 - v)*(-9)/(-15). Determine w, given that w**r + 1/2*w**2 - 3/4*w**4 - w + 1/4 = 0.
-1, 1/3, 1
Let k(o) be the first derivative of o**5/10 - 3*o**4/2 + 5*o**3 - 7*o**2 + 9*o/2 - 56. Factor k(w).
(w - 9)*(w - 1)**3/2
Suppose 0 = -14*w + 17*w - 6. Factor 4*p + 10*p**w - 7*p - 22*p + 15.
5*(p - 1)*(2*p - 3)
Let g(o) = -20*o**3 - 145*o**2 + 250*o + 100. Let v(l) = -l**2 - 2*l + 1. Let q(j) = -g(j) + 20*v(j). Factor q(z).
5*(z - 2)*(z + 8)*(4*z + 1)
Let d(m) be the first derivative of -3*m**4/16 + 87*m**3/4 - 5805*m**2/8 + 5547*m/4 - 341. Let d(t) = 0. Calculate t.
1, 43
Let z = 8213 + -8211. Factor 0 - 1/2*y - 1/2*y**3 - y**z.
-y*(y + 1)**2/2
Factor 2*o**2 - 312*o + 128 + 118*o + 162*o.
2*(o - 8)**2
Let f(b) be the second derivative of -b**5/5 + 90*b**4 - 16200*b**3 + 1458000*b**2 + 47*b. Factor f(h).
-4*(h - 90)**3
Let f(d) be the third derivative of -d**6/180 - d**5/30 + 4*d**3/9 + 6*d**2 + 4*d. Find k, given that f(k) = 0.
-2, 1
Let h be 74/14 - (-26)/(-91). Suppose -4*f = 2*w - 28, 0 = -3*w + h*f - 0*f - 13. Factor -3/4*k**w - 5/4*k**3 + 0*k + 0 - 1/4*k**2 + 9/4*k**5.
k**2*(k - 1)*(3*k + 1)**2/4
Let s(b) = 5*b**2 - 126*b - 1315. Let i(f) = -6*f**2 + 126*f + 1314. Let u(g) = 8*i(g) + 9*s(g). Factor u(q).
-3*(q + 21)**2
Factor -3*c - 99 + 3*c**3 + 27*c**2 - 124 + 196.
3*(c - 1)*(c + 1)*(c + 9)
Suppose -t + 23 = -r + 4*t, -2*r + 14 = 2*t. Let q(y) be the first derivative of -1/12*y**3 - 5 + 1/4*y + 0*y**r. Solve q(g) = 0.
-1, 1
Let w(g) = 2*g**3 + g**2 + 1. Let a(k) = 3