**5 + 1/40*v**6 + 0*v**4 + c*v**2 + 0*v**3 + 0*v + 0. Factor r(x).
3*x**2*(x - 1)
Let m = -23 + 25. Factor -3*j**2 + j**2 - 2*j + j + 3*j**m.
j*(j - 1)
Let z(j) be the first derivative of -1/3*j**6 - 5*j**2 - 2*j - 20/3*j**3 - 2*j**5 - 5*j**4 + 10. Determine p, given that z(p) = 0.
-1
Let d(g) be the second derivative of -g**4/12 - 2*g**3/3 - g**2/2 + 5*g. Let u be d(-3). Factor 0*h + 0 + 0*h**3 - u*h**5 - 2/3*h**4 + 0*h**2.
-2*h**4*(3*h + 1)/3
Factor -n**3 - 24*n**2 - 417 + 289 - 358 - 189*n.
-(n + 6)*(n + 9)**2
Let h(a) be the third derivative of 2*a**7/105 + a**6/6 - 7*a**5/15 - 5*a**4/6 + 4*a**3 + 48*a**2 - a. Solve h(w) = 0 for w.
-6, -1, 1
Let s(o) = o**2 + 40*o - 79. Let j(m) = -20*m**2 - 680*m + 1345. Let c(b) = -2*j(b) - 35*s(b). Solve c(i) = 0 for i.
3, 5
Let r(n) = -n**5 + n**3 - n**2. Let i(a) = 7*a**5 + 32*a**4 - 5*a**3 + 5*a**2. Let w(d) = i(d) + 5*r(d). Suppose w(q) = 0. What is q?
-16, 0
Let p(a) be the second derivative of -a**7/175 + a**6/60 - a**5/75 + 13*a**2/2 + 5*a. Let g(f) be the first derivative of p(f). Factor g(k).
-2*k**2*(k - 1)*(3*k - 2)/5
Let i = -531/25 - -4793/75. Solve -32/3*o - 2/3*o**2 - i = 0.
-8
Let k(m) = 84*m - 38*m**2 + 20*m**3 + 72 + 2*m**2 - 68. Let f(h) = 4*h**3 - 7*h**2 + 17*h + 1. Let t(d) = -24*f(d) + 5*k(d). Factor t(r).
4*(r - 1)**3
Let j = 30 - 26. Let 16*y**j - 4*y - y + 6*y + 31*y**2 + 24*y**3 - 22*y**2 = 0. Calculate y.
-1, -1/4, 0
Let x(v) be the second derivative of -v**6/480 - v**5/120 - v**4/96 - 2*v**2 + 49*v. Let t(w) be the first derivative of x(w). Suppose t(m) = 0. Calculate m.
-1, 0
Let x(t) be the second derivative of -t**4/24 - t**3/6 + 3*t**2/4 + 68*t. Factor x(j).
-(j - 1)*(j + 3)/2
Let x be (-8)/124 + (-160)/400 + 15478/620. Factor -7*a + 1/2 + x*a**2.
(7*a - 1)**2/2
Let q(o) be the second derivative of 36*o + 0 + 4/27*o**3 - 4/9*o**2 - 1/54*o**4. Factor q(s).
-2*(s - 2)**2/9
Let b = 1483/2229 - -1/743. Let w(y) be the first derivative of 0*y**3 + 2/3*y**2 - b*y - 3 + 2/15*y**5 - 1/3*y**4. Factor w(t).
2*(t - 1)**3*(t + 1)/3
Let m be (4*(-7 + 258/36))/((-8)/(-18)). Let m*q**2 + 11/2*q + 3 = 0. What is q?
-3, -2/3
Let l(a) = 9*a**2 + 9*a - 6. Let k(s) = 17*s**2 + 17*s - 12. Let c(q) = 6*k(q) - 11*l(q). Find f such that c(f) = 0.
-2, 1
Factor -6400/3 - 160/3*k - 1/3*k**2.
-(k + 80)**2/3
Suppose -73*w = -68*w. Let d(j) be the second derivative of 2/3*j**3 + 5/12*j**4 - 1/2*j**2 - 2*j + w. Find v such that d(v) = 0.
-1, 1/5
Suppose 0 = 4*a + j - 8, -46*a + 5 = -47*a - 2*j. Let 3/2*z**2 - a - 3/2*z = 0. Calculate z.
-1, 2
Let w = -66 - -81. Suppose 5*c = 2*q + w, -3*q + 5*q - c + 3 = 0. Factor 2/3*p**3 + 0*p**2 + 4/3*p**4 + q + 2/3*p**5 + 0*p.
2*p**3*(p + 1)**2/3
Factor 42*v**3 + 2*v**4 - 9*v**3 - 31*v**3 - 56 - 66*v**2 + 118*v.
2*(v - 4)*(v - 1)**2*(v + 7)
What is l in -14/3*l - 12 + 2/3*l**2 = 0?
-2, 9
Let r(y) = -y - 16. Let z = -136 - -118. Let i be r(z). Factor -3/7*v**i - 48/7 - 24/7*v.
-3*(v + 4)**2/7
Suppose 2*b + 58 = c, -2*b + 2*c - 10 = 50. Let d be (-434)/(-728) - (2 - b/(-13)). Factor -d + 3/4*t + 3/2*t**2.
3*(t + 1)*(2*t - 1)/4
Let c(m) = 5*m + 99. Let j be c(-19). Factor -5/3*r**3 + 0*r + 3*r**5 + 0 - r**j - 1/3*r**2.
r**2*(r - 1)*(3*r + 1)**2/3
Let c = 837 - 833. Let j(m) be the first derivative of 0*m + m**3 - 3/4*m**c - 9 + 0*m**2. What is o in j(o) = 0?
0, 1
Let w = -76 - -94. Let u(k) = -11*k**5 + 19*k**4 - 23*k**3 + 6*k**2 - 9*k + 9. Let q(b) = -b**5 + b**4 - b**3 - b + 1. Let n(j) = w*q(j) - 2*u(j). Factor n(a).
4*a**2*(a - 3)*(a - 1)**2
Suppose -16 - 23 = -13*l. What is f in f**4 + f - 73 - l*f**3 + 73 - 2*f + 3*f**2 = 0?
0, 1
Suppose -3*h + 1 + 18 = 5*m, 2*m = 5*h - 11. Determine y so that 6 - 27*y**m + 3*y**4 + 3*y**3 - 18 + 41*y - 8*y = 0.
-4, 1
Let p = 28 + -30. Let u(t) = -t**2 - 4*t - 1. Let z be u(p). What is m in -1/6 + 1/6*m**z + 1/2*m - 1/2*m**2 = 0?
1
Let v(u) = 2*u**2 - 10*u + 5. Let i be v(5). Solve -i*o**2 + 10*o**3 - 55 + 0*o**4 + 55 - 5*o**4 = 0.
0, 1
Let c(y) be the second derivative of -y**5/170 + y**4/34 + 8*y**3/17 - 80*y**2/17 - 90*y. Determine w, given that c(w) = 0.
-5, 4
Let j = 27576/5 + -5515. Factor 1/5*m**2 + j - 2/5*m.
(m - 1)**2/5
Let j(i) be the second derivative of i**5/150 - 8*i**4/45 - 4*i**3/5 + 241*i. Factor j(f).
2*f*(f - 18)*(f + 2)/15
Let v be 77/(-5) + 132 + -116. Let -1/5*m**3 + v*m**2 + 1/5*m - 3/5 = 0. What is m?
-1, 1, 3
Let q be (-2 - -1)/((-3)/42). Solve b**5 + q*b**3 + 0*b**5 - 15*b**3 = 0 for b.
-1, 0, 1
Let s be 2 + -2 + 10/(-2) + 6. Let w(i) = i**2 - i. Let m(n) = -10*n**2 - 24*n + 6. Let a(l) = s*w(l) + m(l). Factor a(r).
-(r + 3)*(9*r - 2)
Let r = 43 - 25. Factor -r*d + 8*d + 15*d - 7*d**2 + 2.
-(d - 1)*(7*d + 2)
Let m(c) = -c + 1. Let g(d) = d**2 + 8. Let q(y) = -3*g(y) + 12*m(y). Suppose q(w) = 0. Calculate w.
-2
Suppose 2*j = 0, c + 8*j = 3*j + 4 - 2. Let 0*y - 1/2*y**c + 1/2 = 0. What is y?
-1, 1
Let m(q) be the first derivative of q**6/27 + 2*q**5/5 + 7*q**4/6 + 38*q**3/27 + 2*q**2/3 - 32. Factor m(t).
2*t*(t + 1)**3*(t + 6)/9
Let p(l) be the second derivative of l**4 - 2*l**3 - 9*l**2/2 + 16*l + 4. Let p(c) = 0. What is c?
-1/2, 3/2
Let b(z) be the second derivative of 0*z**2 + 1/2*z**3 + 18*z - 1/10*z**6 + 0 + 1/4*z**4 - 3/20*z**5. Factor b(l).
-3*l*(l - 1)*(l + 1)**2
Let b be ((-15)/(-245))/(28/147). Let x(s) be the third derivative of b*s**4 + 9/7*s**3 + 3/70*s**5 + 1/420*s**6 + 0 + 9*s**2 + 0*s. Factor x(p).
2*(p + 3)**3/7
Let v(f) be the second derivative of -f**8/1680 - f**7/630 - f**6/1080 - 17*f**3/6 + 10*f. Let a(i) be the second derivative of v(i). Factor a(o).
-o**2*(o + 1)*(3*o + 1)/3
Let n be (15/210)/((-10)/(-14))*8. Factor -n*o + 8/5 - 1/10*o**3 - 7/10*o**2.
-(o - 1)*(o + 4)**2/10
Let c(t) = -9*t**2 - 3*t + 6. Let w(l) = 7*l**2 + l - 6. Let i(z) = -15*z**2 - 2*z + 13. Let s(r) = -3*i(r) - 7*w(r). Let h(j) = -2*c(j) + 5*s(j). Factor h(g).
-(g + 1)*(2*g - 3)
Suppose -34*z + 41*z = -88*z + 190. Determine g, given that -3*g - 3/2*g**3 + 1/4*g**4 + 1 + 13/4*g**z = 0.
1, 2
Solve 48/5 + 3/5*w**3 - 27/5*w**2 + 18/5*w = 0 for w.
-1, 2, 8
Find u such that 25/4*u - 6 - 1/4*u**2 = 0.
1, 24
Let a = 82/9 - 155/18. Let p(b) be the first derivative of 0*b - 7 + 0*b**5 - a*b**4 + 1/3*b**6 + 0*b**3 + 0*b**2. Factor p(n).
2*n**3*(n - 1)*(n + 1)
Let h(d) be the first derivative of 5 - 4*d**3 - 17*d + 14*d - 22 - 29*d + 28*d**2. Let h(v) = 0. Calculate v.
2/3, 4
Factor 2/17*j**3 + 0 - 72/17*j + 10/17*j**2.
2*j*(j - 4)*(j + 9)/17
Let q(g) = 155*g**2 - 2855*g + 5475. Let b(u) = -9*u**2 + 168*u - 322. Let o(w) = -35*b(w) - 2*q(w). Factor o(y).
5*(y - 32)*(y - 2)
Let b(y) be the first derivative of 3*y**5/20 + y**4/2 - y**3/2 - 3*y**2 - 19*y - 16. Let l(a) be the first derivative of b(a). Factor l(q).
3*(q - 1)*(q + 1)*(q + 2)
Suppose 4*p - 4*c + 100 = 0, -3*p + 5*c - 72 = 3*c. Let m = -17 - p. Factor 11*g**3 - 2*g**5 + 2*g - 12*g**3 - 3*g**4 + g**m + 3*g**2.
-g*(g - 1)*(g + 1)**2*(g + 2)
Let f be (304/48)/19*(-9)/(-5). Let 9/5 - f*q**3 + 3*q**2 - 21/5*q = 0. Calculate q.
1, 3
Let w(l) be the third derivative of l**6/120 - l**5/20 - 11*l**4/8 + 35*l**3/6 - 3*l**2 - 10. Factor w(g).
(g - 7)*(g - 1)*(g + 5)
Let u(d) be the second derivative of -4/3*d**4 + 0 + 0*d**2 + 12*d + 3/5*d**5 + 8/15*d**6 + 2/21*d**7 - 8/3*d**3. Factor u(m).
4*m*(m - 1)*(m + 1)*(m + 2)**2
Let g(c) be the third derivative of c**7/945 - c**6/135 - c**5/135 + c**4/9 + c**3/3 - 5*c**2 + 9. Determine x, given that g(x) = 0.
-1, 3
Let y(g) be the second derivative of 0*g**3 - 2/3*g**5 - 17/45*g**6 - 5*g - 2/9*g**4 + 0 - 4/63*g**7 + 0*g**2. Determine r so that y(r) = 0.
-2, -1/4, 0
Factor 0 - 3/4*i**2 + 69/4*i.
-3*i*(i - 23)/4
Determine s, given that 2/3*s**5 - 6 + 20/3*s**2 - 2/3*s**4 - 20/3*s**3 + 6*s = 0.
-3, -1, 1, 3
Let j = -336 - -3361/10. Let w(i) be the first derivative of 0*i**3 - 1/30*i**6 + 1/10*i**4 - 3 + 0*i**5 - j*i**2 + 0*i. Suppose w(t) = 0. What is t?
-1, 0, 1
Let u be ((-234)/(-42) + -6)*16/(-6). Let f be 4*-3*(-2)/84. Solve -u*w - 8/7 - f*w**2 = 0.
-2
Let q(z) be the third derivative of 0*z**3 + 0 - 1/330*z**5 + 0*z**4 + 0*z - 1/660*z**6 - 9*z**2. Factor q(h).
-2*h**2*(h + 1)/11
Suppose 4*g - 2*g - 4*u - 2 = 0, -g = 5*u - 8. Factor -12*h**2 - 3 - h**4 + 6*h**g + 0*h**4 - 66*h + 76*h.
-(h - 3)*(h - 1)**3
Let p(y) be the seco