4*i - 2*z - 2, 5*i = -4*z - 17. Let r be (i/8)/(-4 - (-23)/6). Factor g + r + 1/4*g**2.
(g + 1)*(g + 3)/4
Suppose -50 + p**2 + 5*p - 55 + 109 = 0. Calculate p.
-4, -1
Let g(k) = k**3 + 2*k**2 + k + 5. Let j be g(-2). Factor b**2 - 5*b**2 + 11*b**3 + 6*b**3 - 15*b**j.
2*b**2*(b - 2)
Let j(k) = k**3 + 15*k**2 - 15*k + 16. Let n be j(-16). Let h be (10 + -9)*(-1 - (n - 1)). Solve h + 2/7*l**2 - 2/7*l**4 - 2/7*l**3 + 2/7*l = 0 for l.
-1, 0, 1
Suppose -13*h = 3*h - 64. Let n(t) be the second derivative of 1/168*t**7 + 1/40*t**6 + 0*t**3 + 4*t + 0 + 3/80*t**5 + 1/48*t**h + 0*t**2. Factor n(c).
c**2*(c + 1)**3/4
Factor 2/3*t**2 + 2/3*t**3 + 2/9*t + 2/9*t**4 + 0.
2*t*(t + 1)**3/9
Let b = -49 - -49. Suppose 0 = -w, 0 = -b*k - k - w. Factor 0*i + 2/7*i**2 + k*i**3 - 2/7*i**4 + 0.
-2*i**2*(i - 1)*(i + 1)/7
Let d(a) be the second derivative of 3*a**8/2240 - a**7/420 - 7*a**6/240 - a**5/20 + a**4/4 - 8*a. Let c(w) be the third derivative of d(w). Factor c(z).
3*(z - 2)*(z + 1)*(3*z + 1)
Let l be -4 - (-20 + 9) - ((12 - 6) + 1). Factor l*h + 0 - 3/4*h**3 + 3*h**2.
-3*h**2*(h - 4)/4
Let j(t) be the first derivative of 1/3*t**3 - 2*t**2 - 8 + 4*t. Factor j(g).
(g - 2)**2
Let h be ((-12)/(-4) - 0) + 85. Find g, given that 154*g**3 + h*g + 45*g**4 + 38*g**4 - 19*g**4 + 115*g**2 + 10*g**5 + 16 + 57*g**2 = 0.
-2, -1, -2/5
Let b(q) be the third derivative of 1/20*q**6 + 0*q**3 + 0*q**4 + 4*q**2 + 0*q + 1/30*q**5 + 0. Find m such that b(m) = 0.
-1/3, 0
Suppose 19*o - 39 - 37 = 0. Let r(b) be the first derivative of 2/3*b + 5/3*b**2 - 5/6*b**o - 8/15*b**5 + 1 + 2/3*b**3. Solve r(k) = 0.
-1, -1/4, 1
Let v(h) = -7*h**2 - 130*h + 204. Let b be v(-20). Determine p so that 0 + 2/7*p**b + 24/7*p**2 + 12/7*p**3 + 16/7*p = 0.
-2, 0
Let q(b) be the second derivative of -b**4/21 + 2*b**3/3 + 120*b**2/7 - 2*b - 6. Factor q(o).
-4*(o - 12)*(o + 5)/7
Let q(u) = u - 1. Let f(a) = a**3 - a**2 - 7*a + 9. Let r be f(2). Let o be (0 + 1/2)*-10. Let g(b) = -b**2 - 5*b + 5. Let t(y) = o*q(y) + r*g(y). Factor t(d).
d**2
Let d(o) be the first derivative of 4/9*o**2 - 2/9*o**4 + 2/9*o**3 - 30 + 2/45*o**5 - 8/9*o. Factor d(f).
2*(f - 2)**2*(f - 1)*(f + 1)/9
Let i(c) be the third derivative of -c**9/15120 - c**8/4200 - 37*c**3/6 - 7*c**2 + 2. Let j(r) be the first derivative of i(r). Solve j(t) = 0.
-2, 0
Factor -1 + 11976*l + l**3 - 27*l**2 - 12004*l + 1.
l*(l - 28)*(l + 1)
Let k be (3/(-10))/((-31)/310). Let o(b) be the third derivative of -1/240*b**6 + 0 - b**2 + 1/840*b**7 + 0*b + 0*b**4 + 1/240*b**5 + 0*b**k. Factor o(p).
p**2*(p - 1)**2/4
Let r(d) = -2*d + 28. Let m be r(11). Let f be m + 2 + 0 + 2 + -7. Factor -2/9*t**f - 2/9*t + 0 + 4/9*t**2.
-2*t*(t - 1)**2/9
Factor -24/19 - 2/19*b**3 - 40/19*b - 18/19*b**2.
-2*(b + 1)*(b + 2)*(b + 6)/19
Let j = 8256/55 - 746/5. Let i(n) be the first derivative of 8 + j*n**2 - 50/11*n - 2/33*n**3. Suppose i(d) = 0. What is d?
5
Factor -1/4*h**4 - 7/4*h**3 - 5*h + 7*h**2 + 0.
-h*(h - 2)*(h - 1)*(h + 10)/4
Let y be ((-24)/3)/(-2) - (-5 - -9). Let b(m) be the first derivative of 1/8*m**4 - 1/4*m**2 + 0*m**3 + y*m - 4. Solve b(c) = 0 for c.
-1, 0, 1
Let b = 341/36 + -37/4. Let z(g) be the first derivative of -1/4*g**4 - b*g**3 + 0*g**5 + 0*g + 2 + 1/18*g**6 + 0*g**2. Factor z(q).
q**2*(q - 2)*(q + 1)**2/3
Let p(j) be the second derivative of 1/3*j**2 - 7/18*j**3 + 0 - 18*j + 1/60*j**5 - 1/45*j**6 + 1/6*j**4. Let p(y) = 0. Calculate y.
-2, 1/2, 1
Factor 0*n + 3/5 - 3/5*n**2.
-3*(n - 1)*(n + 1)/5
Factor 0 + 0*b - 12/13*b**2 + 2/13*b**4 - 10/13*b**3.
2*b**2*(b - 6)*(b + 1)/13
Let -4*w + 5/3*w**2 + 4/3 = 0. What is w?
2/5, 2
Let x(p) be the third derivative of p**5/40 - 3*p**4/4 + 9*p**3 + 92*p**2. Factor x(c).
3*(c - 6)**2/2
Let h(u) be the first derivative of u**4 + 160*u**3/3 + 296*u**2 + 576*u - 399. Determine a so that h(a) = 0.
-36, -2
Let y(z) = z**2 - z + 1. Let x(j) = 45*j**3 - 41*j**2 - 94*j - 26. Let h be 2 - ((-17)/5 + 12/(-20)). Let l(b) = h*y(b) + x(b). Find d such that l(d) = 0.
-1, -2/9, 2
Suppose 21 = -2*u + 5*t, 4*t = u - 0 + 18. Let c(r) be the first derivative of -4*r + 0*r**u + 4 + r**3 - 1/4*r**4. Factor c(n).
-(n - 2)**2*(n + 1)
Suppose 192*v = 195*v. Let f(w) be the third derivative of 9*w**2 + 1/36*w**4 - 1/180*w**6 + 1/3*w**3 - 1/30*w**5 + v + 0*w. Determine n so that f(n) = 0.
-3, -1, 1
Let j = -79 - -239/3. What is u in 1 + 1/3*u - j*u**2 = 0?
-1, 3/2
Suppose 5*l + 2*f + 146 = 0, 3*l + 0*l - f + 81 = 0. Let q = l - -32. Determine k so that 0*k**2 + 0*k**3 + 1/5*k**q + 0 + 0*k = 0.
0
Factor -124*u**2 - 535*u - 667*u**3 + 399*u**2 + 265 + 662*u**3.
-5*(u - 53)*(u - 1)**2
Factor 0*y - 4/3*y**4 + 0*y**2 + 16*y**3 - 4/3*y**5 + 0.
-4*y**3*(y - 3)*(y + 4)/3
Let z(k) be the third derivative of 9/40*k**4 + 1/600*k**6 + 0 + 9/10*k**3 + 0*k + 12*k**2 + 3/100*k**5. Find m, given that z(m) = 0.
-3
Let o(i) be the second derivative of i**7/35 + 2*i**6/15 - 7*i**5/25 - 16*i**4/15 + 17*i**3/5 - 18*i**2/5 - 53*i - 3. Solve o(d) = 0.
-3, 2/3, 1
Let v = -5/657 - 199/146511. Let f = v - -452/669. Factor f*a**2 + 0*a + 0.
2*a**2/3
Let o(w) be the first derivative of w**4/6 + 10*w**3/27 - 4*w**2/9 - 8*w/9 - 109. Factor o(d).
2*(d - 1)*(d + 2)*(3*d + 2)/9
Let h be (-2)/(244/84 + -3). Find f such that h + 25*f + 6*f**2 - 1 - f**2 = 0.
-4, -1
Let w be (136/(-570))/2 - (-26)/65. Let y = w - -1/19. What is m in y*m**2 - 4/3*m + 4/3 = 0?
2
Let l be (-184)/1104 - ((-213)/90 - -2). Let h be ((-4)/(-3))/((-4)/(-6)). Factor l - 1/5*n**h + 0*n.
-(n - 1)*(n + 1)/5
Let n be 0 + (-8)/(-36) - 1533/(-27). Suppose -49 + n = 4*l. Factor 2/3*y**3 - 2/3*y + 2/3*y**l - 2/3*y**4 + 0.
-2*y*(y - 1)**2*(y + 1)/3
Factor 10*x + 2*x**4 - 14*x - 8*x**2 + 6*x**4 + 4*x**5.
4*x*(x - 1)*(x + 1)**3
Let s(c) be the third derivative of c**7/1365 + c**6/780 - c**5/195 - 21*c**2 + 1. Suppose s(k) = 0. Calculate k.
-2, 0, 1
Let b(v) be the first derivative of -v**5/25 + 3*v**4/10 - 4*v**3/15 - 12*v**2/5 + 32*v/5 + 568. Factor b(m).
-(m - 4)*(m - 2)**2*(m + 2)/5
Let l(s) = 0*s**3 + 6*s**3 - 3 - 2*s**3 + 10*s - 14*s + 3*s**2. Let t(h) = -h**3 + h. Let o(m) = 2*l(m) + 10*t(m). Factor o(c).
-2*(c - 3)*(c - 1)*(c + 1)
Let u(y) = y**3 - 24*y**2 + 45*y - 2. Let h be u(2). Suppose 0 + h*j - 1/2*j**3 + 0*j**2 - 1/2*j**5 - j**4 = 0. Calculate j.
-1, 0
Let g(s) = -22*s**2 - 329*s + 27. Let z be g(-15). Find x such that 27/4*x**2 - 3/4*x**3 - 18*x + z = 0.
1, 4
Let l(w) be the second derivative of -1/6*w**3 + 29*w + 0 + 2/7*w**2 + 1/42*w**4 + 1/140*w**5. Factor l(d).
(d - 1)**2*(d + 4)/7
Let n be ((-25)/20 - -1)*-4*1. Let l be n - 2/1 - 612/(-476). Find w such that l*w**2 + 0 + 0*w = 0.
0
Suppose 7*n + 64 = 295. Suppose -n*d = -37*d + 8. Factor -3/5*t - 2/5 + t**d.
(t - 1)*(5*t + 2)/5
Let v(q) be the second derivative of 3*q**5/40 - 5*q**4/8 - 2*q**3 + 36*q**2 - 70*q. Let v(s) = 0. What is s?
-3, 4
Let c(u) be the second derivative of 46*u + 5/12*u**4 - 5/3*u**3 + 0 + 0*u**2 + 1/4*u**5. Factor c(q).
5*q*(q - 1)*(q + 2)
Let q(t) be the third derivative of t**5/240 - 17*t**4/96 - 83*t**2. Find z, given that q(z) = 0.
0, 17
Factor 1/5*g**5 + 26/5*g**2 - 16/5*g - 8/5*g**4 - 3/5*g**3 + 0.
g*(g - 8)*(g - 1)**2*(g + 2)/5
Let m(n) be the second derivative of -n**7/98 - 8*n**6/35 - 57*n**5/70 + 4*n**4/7 + 39*n**3/14 - 209*n. Find t, given that m(t) = 0.
-13, -3, -1, 0, 1
Determine x, given that 16/5*x**2 - x**4 - 64/5*x + 116/5*x**3 + 16/5 - 5*x**5 = 0.
-2, -1, 2/5, 2
Let s = 4489/22 + -204. Let y = s - -9/44. Solve -1/2*q**3 - y*q**4 + 0 - 1/4*q**2 + 0*q = 0 for q.
-1, 0
Let z(n) be the third derivative of 0 - 1/672*n**8 + 12*n**2 + 0*n**4 + 0*n + 1/210*n**7 + 0*n**5 + 0*n**3 + 1/80*n**6. Let z(m) = 0. What is m?
-1, 0, 3
What is j in 26/7*j**2 - 48/7*j**3 + 8/7*j**4 + 66/7*j + 20/7 = 0?
-1/2, 2, 5
Let r(g) be the third derivative of g**8/2240 - g**7/105 + g**6/15 - g**4/4 - 16*g**2. Let k(z) be the second derivative of r(z). Factor k(f).
3*f*(f - 4)**2
Let y be (-3)/((-858)/80) - 40/(-220). Let v be 166/104*-4 + 7. Factor -y + v*l - 2/13*l**2.
-2*(l - 3)*(l - 1)/13
Let n be (-28)/(-15) + (-20)/(-150). Suppose n*q + q + 3 = 3*a, 0 = 3*a + 3*q - 9. What is s in -1/2*s - 5/4*s**a - s**3 + 0 - 1/4*s**4 = 0?
-2, -1, 0
Let u be 12/84 + (-1599)/11340. Let c(v) be the third derivative of 0*v**3 + 1/135*v**5 - 