*b + 8. Let t be w(0). Let k be 66/t + 15/20. Suppose 3*q**3 - k*q**2 - 4*q**4 + q**2 + 5*q**3 + 4*q**3 = 0. Calculate q.
0, 1, 2
Let c(m) be the first derivative of 0*m**3 + 0*m**2 + 0*m**4 + 1/48*m**6 + 0*m - 1/40*m**5 + 4. Factor c(s).
s**4*(s - 1)/8
Let i(o) be the third derivative of -2/75*o**5 + 0*o**3 + 1/15*o**4 + 1/300*o**6 + 0 + 12*o**2 + 0*o. Let i(w) = 0. Calculate w.
0, 2
Let i(t) be the second derivative of -t**6/240 + t**5/160 + 3*t**4/32 + 11*t**3/48 + t**2/4 + 139*t. Determine u, given that i(u) = 0.
-1, 4
Let m be (-6)/(-4) - 1/(-2). Suppose 0 = 4*t - t - 5*f - 20, 2*f + 8 = -m*t. Factor 0 + 2/3*a**2 + 2/3*a**3 + t*a.
2*a**2*(a + 1)/3
Let o(u) = -4*u**2 + 29*u + 3. Let y be o(5). Let t be (y/(-22) - -2) + 6850/1375. Suppose -108/5*m + 18*m**2 + t + 15*m**3 = 0. Calculate m.
-2, 2/5
Factor 0 - 1/9*c**2 + 53/9*c.
-c*(c - 53)/9
Let x(b) be the second derivative of 3*b**4/2 - 22*b**3/3 + 13*b**2 + 7*b - 21. Factor x(k).
2*(k - 1)*(9*k - 13)
Let k(n) be the first derivative of 1/110*n**5 + 6 + 0*n**2 - 7*n + 0*n**3 - 1/66*n**4. Let l(s) be the first derivative of k(s). Factor l(w).
2*w**2*(w - 1)/11
Let r(o) be the third derivative of -1/15*o**5 + 0 + 0*o + 0*o**4 + 4*o**2 - 1/15*o**6 + 0*o**3 - 2/105*o**7. Factor r(w).
-4*w**2*(w + 1)**2
Let z = -526 + 2632/5. Factor -2/5*r**2 + 2/5 - z*r**3 + 2/5*r.
-2*(r - 1)*(r + 1)**2/5
Let v(j) be the second derivative of 10*j**7/21 - 166*j**6/15 - 34*j**5/5 - 51*j. Find c, given that v(c) = 0.
-2/5, 0, 17
What is v in -3/7*v**2 + 18/7*v + 48/7 = 0?
-2, 8
Factor -25/7*s**3 - 1/7*s**5 - 64/7 - 10/7*s**4 + 80/7*s + 20/7*s**2.
-(s - 1)**2*(s + 4)**3/7
Let y(q) = -3*q**3 - 39*q**2 - 13*q + 5. Let u(a) = 2*a**3 + 19*a**2 + 6*a - 2. Let v(r) = -10*u(r) - 4*y(r). Factor v(j).
-2*j*(j + 4)*(4*j + 1)
Suppose 24 = 5*a - 3*g, -2*a + 38*g = 42*g + 6. Determine x, given that 0 - 1/3*x**4 + 1/3*x**a + 0*x**2 + 0*x = 0.
0, 1
Let m(u) be the second derivative of u**7/7560 + u**6/1080 - u**5/45 - 7*u**4/12 + 13*u. Let b(s) be the third derivative of m(s). Factor b(d).
(d - 2)*(d + 4)/3
Let p(i) = 4*i**3 - 6*i**3 - 14 + 44*i + 23*i**3 - 51*i**2. Let c(a) = a - 1. Let z(m) = 5*c(m) - p(m). Solve z(j) = 0 for j.
3/7, 1
Let x(c) = 2*c**2 - 71*c + 106. Let l be x(34). Suppose 0*b + 0*b**3 + 2/11*b**2 + 0 - 2/11*b**l = 0. Calculate b.
-1, 0, 1
Let u(m) be the second derivative of 3/5*m**5 - 7/3*m**4 - 5*m + 0 + 10/3*m**3 - 2*m**2. Factor u(i).
4*(i - 1)**2*(3*i - 1)
Let a(l) be the first derivative of -l**4/42 - 16*l**3/63 + 23*l**2/21 + 20*l/7 + 595. Factor a(q).
-2*(q - 3)*(q + 1)*(q + 10)/21
Let q(w) be the second derivative of -3*w**5/20 + 5*w**4/4 - 2*w**3 - 229*w. Factor q(c).
-3*c*(c - 4)*(c - 1)
Suppose 0 = -3*h + 12, -7*h = -4*i - 2*h + 24. Let x(z) = z**2 - 12*z + 13. Let y be x(i). Factor -2/5*v + 3/5*v**y + 1/5*v**5 - 3/5*v**4 + 1/5*v**3 + 0.
v*(v - 2)*(v - 1)**2*(v + 1)/5
Let y(t) be the second derivative of -t**4/12 + 10*t**3/3 + 21*t**2/2 + 241*t. Factor y(w).
-(w - 21)*(w + 1)
Suppose -357/5*u**2 + 0 - 36/5*u**3 - 578/5*u - 1/5*u**4 = 0. Calculate u.
-17, -2, 0
Let v = 15495/61996 - -1/15499. Solve 3/4*h**2 - v*h**3 + 0*h + 0 = 0 for h.
0, 3
Let b(m) = -4*m**3 - 1 - m**2 - m + m**2. Let h be b(-1). Factor 4*q**4 - 20*q + 22*q - 6*q**h + 2*q**2 - 2*q**3.
-2*q*(q - 1)*(q + 1)**2
Factor -1/2*u**4 - 1/2 + 1/2*u + u**2 - u**3 + 1/2*u**5.
(u - 1)**3*(u + 1)**2/2
Let l(m) be the second derivative of 0*m**2 - 2*m + 1/120*m**4 + 0*m**3 + 0. Solve l(r) = 0.
0
Factor 2*r**2 + 2/5*r**3 + 0 - 28/5*r.
2*r*(r - 2)*(r + 7)/5
Suppose -7*q + 165 = 144. Let x(b) be the second derivative of -11/9*b**4 + 0 - 8*b + 0*b**2 - 4/9*b**q - 16/15*b**5 - 14/45*b**6. Factor x(h).
-4*h*(h + 1)**2*(7*h + 2)/3
Suppose 0 = -4*f + 12. Let w be 2*f*(-11)/(-99). Factor 2/3*b**2 + 4/3*b + w.
2*(b + 1)**2/3
Let v(h) be the second derivative of -h**4/6 + 5*h**3/3 - 4*h**2 + 6*h + 7. Factor v(b).
-2*(b - 4)*(b - 1)
Let v(f) = 7*f**2 + 11*f - 32. Let u(t) = -4*t**2 + t - 2. Let d(y) = 2*u(y) + v(y). Solve d(g) = 0.
4, 9
Let y(x) be the first derivative of 1/3*x**3 - 1/10*x**5 + 1/12*x**6 - 1/2*x - 36 + 1/4*x**2 - 1/4*x**4. Determine f so that y(f) = 0.
-1, 1
Let g = 152/21 + -46/7. Let c be 0/(((-9)/(-6))/(1/2)). Solve 0*q**2 + 0*q**4 + g*q**3 - 2/3*q**5 + c*q + 0 = 0.
-1, 0, 1
Let c(i) be the first derivative of -i**5/5 + 15*i**4/4 + i**3 - 47*i**2/2 + 30*i - 468. Factor c(l).
-(l - 15)*(l - 1)**2*(l + 2)
Let q(b) be the first derivative of b**3/2 - 57*b**2/2 + 1083*b/2 - 71. Factor q(n).
3*(n - 19)**2/2
Let t(w) be the second derivative of w**4/12 - 55*w**3/6 - 28*w**2 + 306*w. Suppose t(d) = 0. What is d?
-1, 56
Let d = 1174/35 - 232/7. Determine i, given that 0 + 1/5*i**2 + 2/5*i**3 - d*i - 1/5*i**4 = 0.
-1, 0, 1, 2
Suppose 0 = 5*i - k - 22, 13*i = 17*i + 4*k - 8. Let o(d) be the first derivative of -d - 2/9*d**3 - 7/6*d**2 - i. Solve o(c) = 0 for c.
-3, -1/2
Suppose -2*h + 4*h - 16 = 0. Suppose -b**2 + h - 4*b**5 - 168*b**3 + 8*b**4 + 176*b**3 - 4*b - 15*b**2 = 0. Calculate b.
-1, 1, 2
Let q = 1363/146300 + 1/1463. Let w(r) be the second derivative of q*r**5 + 0*r**2 - 6*r + 1/150*r**6 - 1/30*r**3 + 0 - 1/60*r**4. Suppose w(b) = 0. What is b?
-1, 0, 1
Let u = 2573 + -2573. Let c(a) be the first derivative of 0*a**2 + 11 + 6/55*a**5 - 5/22*a**4 - 4/33*a**3 + u*a. Let c(x) = 0. What is x?
-1/3, 0, 2
Let b(f) = -f**3 + 6*f**2 - 6*f - 12. Let i be b(5). Let o = 19 + i. Suppose 2/11*l**o + 0*l + 0 = 0. What is l?
0
Let t(c) be the first derivative of 3/10*c**2 - 1/20*c**4 + 2/15*c**3 + 0*c - 31. Suppose t(f) = 0. What is f?
-1, 0, 3
Let v(w) = w + 1. Let x(m) = 8*m**2 + 86*m + 329. Let p(j) = 6*v(j) - x(j). Let y(a) = 25*a**2 + 240*a + 970. Let c(q) = 10*p(q) + 3*y(q). Factor c(o).
-5*(o + 8)**2
Let a = 2986 + -77647/26. Let y = 12/13 + a. Factor -d + y*d**2 - 3/2.
(d - 3)*(d + 1)/2
Determine v, given that 125 + 29*v**3 + 146*v + 2*v**3 + 373*v**4 + 165*v**2 + 179*v - 371*v**4 = 0.
-5, -1/2
Let b(z) = z**2 + 9*z - 6. Let a be b(-10). Find d, given that -2*d**a + 12*d**2 + 13*d**3 - 7*d**3 - 6*d**3 + 6 - 16*d = 0.
-3, 1
Let a(g) be the third derivative of g**5/240 + 23*g**4/96 - 196*g**2. Let a(u) = 0. What is u?
-23, 0
Let u(c) be the second derivative of -c**4/84 - 5*c**3/42 + 3*c**2/7 - 284*c. Factor u(m).
-(m - 1)*(m + 6)/7
Suppose 58*z - 1019 = -903. Determine s, given that 6*s + 12 + 3/4*s**z = 0.
-4
Let j(k) be the second derivative of -1/2*k**4 + 0*k**2 + 32*k - 3/20*k**5 - 1/2*k**3 + 0. Factor j(o).
-3*o*(o + 1)**2
What is z in -16*z**2 + 200/7 - 12/7*z**3 - 220/7*z = 0?
-5, 2/3
Let t(j) be the third derivative of j**8/224 + 17*j**7/35 + 269*j**6/16 + 3259*j**5/20 + 3007*j**4/4 + 1922*j**3 - 188*j**2. Factor t(z).
3*(z + 2)**3*(z + 31)**2/2
Suppose -21*w = -25*w + 72. Solve 8*c - w*c**2 + 5*c + 7*c + 2*c - 4 = 0 for c.
2/9, 1
Factor 3/5 + 1/5*u**3 - 1/5*u - 3/5*u**2.
(u - 3)*(u - 1)*(u + 1)/5
Suppose -6 = -3*n + 2*g, -3*n - 5*g + 47 = 20. Let q be (3/(-5))/(3/(-4)). Factor -4/5*b**2 + 0*b**3 - 2/5*b**5 + 0 + 2/5*b + q*b**n.
-2*b*(b - 1)**3*(b + 1)/5
Factor -1/8*h**2 + 21/2*h - 441/2.
-(h - 42)**2/8
Let d = -22 - -31. Factor -d*q**2 - 12*q**2 + 21*q + 17*q**2 - 6 - 11*q**2.
-3*(q - 1)*(5*q - 2)
Let q(t) be the second derivative of 0*t**2 - 1/20*t**4 - 1/10*t**3 + 0 - 20*t. Factor q(p).
-3*p*(p + 1)/5
Suppose m + 3*u - 180 = -166, 5*m - 2*u = 2. Suppose m - 1/4*g**2 + 7/4*g = 0. What is g?
-1, 8
Let r(n) be the third derivative of n**7/210 - 10*n**6/3 + 1000*n**5 - 500000*n**4/3 + 50000000*n**3/3 - 707*n**2. Factor r(m).
(m - 100)**4
Let r(t) be the first derivative of 7 - 1/12*t**4 + 0*t**3 - 3*t + 1/2*t**2. Let w(p) be the first derivative of r(p). Factor w(g).
-(g - 1)*(g + 1)
Suppose -13 = -4*v + 63. Solve -v*s - 4*s**2 + 44*s - 32 + 11*s = 0.
1, 8
Determine t so that -3/2*t**2 - 1/6*t + 1/6*t**3 + 3/2 = 0.
-1, 1, 9
Let -4/7 - 122/7*x**2 + 39/7*x + 111/7*x**3 + 36/7*x**4 = 0. Calculate x.
-4, 1/4, 1/3
What is m in 0 - 4/3*m**3 + 4/3*m + 2/9*m**2 - 2/9*m**4 = 0?
-6, -1, 0, 1
Let y(d) = 10*d**2 + 14*d + 6. Let j(t) = -19*t**2 - 14*t - 7. Let q(g) = -3*j(g) - 4*y(g). Factor q(x).
(x - 1)*(17*x + 3)
Let k = 68 + -56. Factor 11*m**4 + 6*m - 2*m**4 + 12*m**3 - k*m**4 - 15*m**2.
-3*m*(m - 2)*(m - 1)**2
Let y(w) = 0*w - 1 - w + 9. L