*4/12 - 25*w**3/6 + 35*w**2 - 27*w + 2. Solve v(b) = 0.
-7, 2
Let r(m) be the second derivative of -m**5/10 + 17*m**4/6 + 20*m**3/3 - 36*m**2 - 3*m - 209. Suppose r(w) = 0. Calculate w.
-2, 1, 18
Let f(q) = 4*q**2 - 4*q. Let u = 6 - 3. Let r(k) = -3. Let i(p) = p**2 - p + 4. Let o(x) = 3*i(x) + 4*r(x). Let v(s) = u*o(s) - 2*f(s). What is a in v(a) = 0?
0, 1
Let k(o) be the second derivative of 15*o + 1/3*o**3 + 1/4*o**2 + 1/4*o**4 + 1/10*o**5 + 1/60*o**6 + 0. Suppose k(b) = 0. Calculate b.
-1
Let c(u) be the first derivative of 2*u**3/33 - 2*u/11 + 429. Find x such that c(x) = 0.
-1, 1
Suppose 0 = -2*u + 3*u - 3. Suppose -v = -5 + u. Factor 3*f**v - 3*f + f - f**2 + 4*f**3 - 2*f**3 - 2*f**4.
-2*f*(f - 1)**2*(f + 1)
Let j(n) be the first derivative of -10*n**3 - 6*n**2 + 24*n + 6/5*n**5 + 15/4*n**4 + 34 - 1/2*n**6. Suppose j(x) = 0. Calculate x.
-2, -1, 1, 2
Let z(f) be the second derivative of -1/20*f**5 - 5/12*f**4 + 0 + 0*f**3 + 0*f**2 - 22*f. Factor z(r).
-r**2*(r + 5)
Factor 416/3*p + 44/3*p**4 + 0 + 296/3*p**3 + 1840/9*p**2 - 4/9*p**5.
-4*p*(p - 39)*(p + 2)**3/9
Let y(q) be the third derivative of 2/9*q**4 + 4/9*q**3 + 5*q**2 + 0*q + 0 + 1/90*q**5 - 1/60*q**6. Determine l so that y(l) = 0.
-1, -2/3, 2
Suppose -3*l = 4*f - 2, f + 50*l = 51*l + 4. Determine k, given that 2/9 + 2/3*k + 2/3*k**f + 2/9*k**3 = 0.
-1
Determine j so that 12*j + 9/2*j**2 + 10 + 1/2*j**3 = 0.
-5, -2
Let q(y) = y**3 - 11*y**2 + 10*y + 1. Let c be q(10). Let k = 3 - c. Let 2*z**k - z**2 + 2*z**2 - 2*z**2 - 1 = 0. What is z?
-1, 1
Let c(x) be the third derivative of x**8/1680 - x**6/180 + x**4/24 + 25*x**3/6 - x**2. Let y(n) be the first derivative of c(n). Factor y(w).
(w - 1)**2*(w + 1)**2
Let c(g) be the second derivative of g**4/60 + 101*g**3/15 + 670*g. Factor c(l).
l*(l + 202)/5
Let v(w) be the third derivative of w**6/300 + 56*w**5/75 + 784*w**4/15 - 220*w**2. Solve v(p) = 0.
-56, 0
Let x(j) be the third derivative of -10*j**2 + 1/21*j**4 + 0*j**6 + 0 - 1/35*j**5 + 0*j**3 + 0*j + 2/735*j**7. Factor x(u).
4*u*(u - 1)**2*(u + 2)/7
Suppose 125*f - 126*f + 5 = -5*w, -2*f = -10. What is g in w - 112/9*g**3 - 4/9*g + 38/9*g**2 + 32/3*g**4 = 0?
0, 1/4, 2/3
Let j = 12463 - 12461. Let o = -36 - -254/7. Factor 2/7*k**j - o*k**3 - 2/7 + 2/7*k.
-2*(k - 1)**2*(k + 1)/7
Let i(o) be the third derivative of o**7/7560 - o**6/135 + 8*o**5/45 - o**4/4 + 17*o**2. Let q(m) be the second derivative of i(m). Factor q(v).
(v - 8)**2/3
Let r(k) be the first derivative of k**6/42 + 4*k**5/35 + k**4/7 - 2*k**3/21 - 5*k**2/14 - 2*k/7 + 235. Let r(y) = 0. Calculate y.
-2, -1, 1
Determine o, given that 2*o - 1/2*o**2 - 2 = 0.
2
Let s(g) be the third derivative of g**8/112 - 3*g**7/280 - g**6/60 + g**3/6 + 16*g**2. Let m(c) be the first derivative of s(c). Find t, given that m(t) = 0.
-2/5, 0, 1
Determine k so that 17154*k**2 - k**3 + 17*k - 17198*k**2 - 101*k = 0.
-42, -2, 0
Let a = 607/3 - 1199/6. Let 1/2*k**2 + k**5 + 0 + 0*k + 2*k**3 + a*k**4 = 0. Calculate k.
-1, -1/2, 0
Let r(h) be the second derivative of h**5/20 - h**4/12 - 37*h. Solve r(m) = 0.
0, 1
Factor 2/15*y - 4/15 + 2/15*y**2.
2*(y - 1)*(y + 2)/15
Let q(d) = 2 + 2 - 5*d**2 - 2 - d**3. Let o be q(-5). Factor 17 + 2*f**3 - f**5 - f - 18 - f**4 + f**o + f**2.
-(f - 1)**2*(f + 1)**3
Let h(a) be the second derivative of -a**6/120 - 3*a**5/40 - a**4/6 + a**3/4 + 9*a**2/8 - 2*a + 24. Factor h(i).
-(i - 1)*(i + 1)*(i + 3)**2/4
Let y(j) be the first derivative of j**8/13440 + j**7/3360 - j**5/480 - j**4/192 - 7*j**3 - 3. Let n(q) be the third derivative of y(q). Factor n(u).
(u - 1)*(u + 1)**3/8
Let j = -11 - -13. Suppose -5*o - 9 = -x - x, 0 = 2*x + 2*o - j. Factor -t**2 + 2*t**2 + 3*t**4 - 3*t**x - t**2.
3*t**2*(t - 1)*(t + 1)
Factor -15*r**2 - 14*r**2 + 50*r + 49*r**2 - 15*r**2 + 149 - 24.
5*(r + 5)**2
Suppose 6*t**2 - 32/9*t - 8/9 + 110/9*t**3 + 10*t**5 - 214/9*t**4 = 0. What is t?
-2/5, -2/9, 1
Let x(h) be the first derivative of 2*h**4 - 14*h**3/3 - 34*h**2 - 16*h - 14. Factor x(u).
2*(u - 4)*(u + 2)*(4*u + 1)
Suppose -4*z + z + 6 = 2*d, 4*d - z = -2. Suppose d = -2*p + 4 + 2. Factor -5*w**2 + 2*w**4 + p*w**3 + w**4 - w**2.
3*w**2*(w - 1)*(w + 2)
Let h(r) be the second derivative of r**4/24 - r**3/3 + r**2 + 14*r - 2. Let h(n) = 0. What is n?
2
Let a = 25716 - 180008/7. Factor 8/7*z - 12/7 + a*z**2.
4*(z - 1)*(z + 3)/7
Let g(x) be the first derivative of x**5/10 + 3*x**4/4 - 4*x**3 + 13*x**2/2 - 9*x/2 + 78. Factor g(q).
(q - 1)**3*(q + 9)/2
Let r(z) = z**2 - 4*z + 8. Let l(m) = -2*m**2 + 8*m - 15. Let j = -43 + 39. Let i(y) = j*l(y) - 7*r(y). Solve i(p) = 0.
2
Let y be 201/27 + -9 + 7 - 5. Find h, given that 2/3*h**3 - 2/9*h + y - 8/9*h**2 = 0.
-2/3, 1
Factor -1/5*l**2 - 17/10*l**3 + 0 + 0*l.
-l**2*(17*l + 2)/10
Let b(s) be the first derivative of -s**3/8 + 3*s**2/4 + 9*s/2 + 154. Solve b(d) = 0 for d.
-2, 6
Suppose -c = -3, 0*z + 2*c = 3*z + 6. Suppose 2*r - 6 + 2 = z. Factor 18*j**3 + 0*j**3 + 4*j - 17*j**r - j**4 + 3*j**2 - 9*j**4 + 2*j**5.
2*j*(j - 2)*(j - 1)**3
Let r(q) be the first derivative of 11*q**4/2 + 28*q**3 - 63*q**2 + 20*q + 198. Solve r(g) = 0 for g.
-5, 2/11, 1
Suppose -5*r - 8 = -3*r, 2*r - 12 = -5*m. Let a(y) be the second derivative of 1/2*y**m - 3/20*y**5 - 1/2*y**3 + 0*y**2 + y + 0. Factor a(b).
-3*b*(b - 1)**2
Suppose -17 + 5 = -4*j, 5*q = 4*j + 123. Suppose 23 + q = 10*x. Factor 13/3*t**3 + 2/3*t + x*t**2 + 0.
t*(t + 1)*(13*t + 2)/3
Suppose 2*q + 4*g = 6*g - 6, 2*q - 5*g = -24. Find u such that -96/5*u + 12/5*u**q - 36/5*u**2 + 3/5*u**4 + 192/5 = 0.
-4, 2
Let t be (-22 - -25)/(1*3). Let o be (-4 - -2) + (t - 57/(-33)). Factor -24/11*q - 18/11*q**2 - o.
-2*(3*q + 2)**2/11
Let s(r) be the third derivative of r**5/15 + 43*r**4/6 - 88*r**3/3 - 5*r**2 + 7*r. Factor s(h).
4*(h - 1)*(h + 44)
Let r be 1*((-4)/30)/((-72)/324). Let u(d) be the second derivative of 6*d + 0 - r*d**2 + 1/30*d**4 - 2/15*d**3. Factor u(m).
2*(m - 3)*(m + 1)/5
Suppose 0 = 5*g, -5*t + 26 = -g + 11. Determine d so that -5*d**5 + 9*d**4 + d**3 + 13*d - 12*d**2 + 0*d**t + 3*d**4 - 9*d = 0.
-1, 0, 2/5, 1, 2
Let z(y) be the third derivative of 1/32*y**4 + 0*y + 0*y**3 + 16*y**2 + 1/160*y**5 + 0. Factor z(o).
3*o*(o + 2)/8
Let i = -33/6020 + 1/1204. Let v = i + 259/215. Let 0*l - 1/5*l**3 + 0 + 0*l**2 - 9/5*l**5 + v*l**4 = 0. What is l?
0, 1/3
Let w(r) be the third derivative of -r**5/12 + 35*r**4/24 + 15*r**3 + 7*r**2 - 2. Solve w(o) = 0.
-2, 9
Let r be -3*(-7)/((-105)/10)*-1. Let t(c) be the first derivative of -1/2*c + 1/8*c**2 - 1/16*c**4 + 1/6*c**3 + r. Suppose t(u) = 0. Calculate u.
-1, 1, 2
Suppose 101 - 275*r**2 - 45*r**3 - 235*r - 21 + 25*r**3 - 60*r**2 = 0. Calculate r.
-16, -1, 1/4
Factor 29/7*n**2 - 225/7 - 195/7*n - 1/7*n**3.
-(n - 15)**2*(n + 1)/7
Let u(s) = -s - 4. Let j be u(-8). Factor -27*o + 9*o**j + 99*o**2 - 31*o**3 - 18*o**3 + 4*o**3 - 12*o**3.
3*o*(o - 3)**2*(3*o - 1)
Let a(m) = -m**5 - 6*m**4 - 11*m**3 - 5*m**2 - m + 1. Let o(f) = f**2 - f + 1. Let d(n) = a(n) - o(n). Suppose d(k) = 0. Calculate k.
-3, -2, -1, 0
Let h be (12/(-2))/(5*48/(-32)). Factor -2/5*l**2 - h + 6/5*l.
-2*(l - 2)*(l - 1)/5
Let n(v) be the first derivative of v**6/6 + 19*v**5/5 + 57*v**4/4 - 319*v**3/3 + 121*v**2 + 75. Factor n(b).
b*(b - 2)*(b - 1)*(b + 11)**2
Factor 0*g + 2/7*g**5 + 2/7*g**3 + 0*g**2 + 0 + 4/7*g**4.
2*g**3*(g + 1)**2/7
Let o be (14*(-2)/(-8) - 1)*-4. Let b = o + 14. Factor -1/6*l**3 + 0*l + 0 + 1/6*l**2 + 1/6*l**5 - 1/6*l**b.
l**2*(l - 1)**2*(l + 1)/6
Let n(r) be the third derivative of -r**6/80 - 23*r**5/80 - 31*r**4/32 - 5*r**3/4 + 497*r**2. Find z, given that n(z) = 0.
-10, -1, -1/2
Factor 171*u**2 - 19*u**4 + 3*u**4 - 5*u**5 + u**4 - 45*u + 50*u**3 + 25 - 181*u**2.
-5*(u - 1)**3*(u + 1)*(u + 5)
Suppose -a + 5*l + 28 = 0, -5*a = -2*l + 105 - 130. What is f in 4/3*f**a - 4*f + 0*f**2 + 8/3 = 0?
-2, 1
Let k be (-12)/60 - (-278)/40. Let w = k + -131/20. Factor -w*c**2 + 0*c + 0.
-c**2/5
Let h be 13*-1*-1 + 30 + -38. Let u(i) be the third derivative of 16/45*i**3 + 10*i**2 - 2/45*i**4 + 1/450*i**h + 0*i + 0. Factor u(n).
2*(n - 4)**2/15
Let l(q) be the first derivative of -q**7/7140 + q**6/765 - q**5/255 - 14*q**3/3 - 8. Let y(g) be the third derivative of l(g). Factor y(o).
-2*o*(o - 2)**2/17
Let f = 32/3465 + 1/198. Let s(b) b