4*c - 2. Let z(f) = -f**2. Let w(m) = 7*m**2 - 4*m + 1. Let y(i) = -w(i) - 6*z(i). Let r(p) = 3*j(p) - 2*y(p). Factor r(a).
-(a - 2)**2
Suppose 2/3*g**4 - 2*g**2 + 2*g**3 - 4 - 22/3*g = 0. Calculate g.
-3, -1, 2
Let y(c) = 3*c**2 - 3*c + 6. Let d(l) = -l. Suppose 4*k + 1 = 3*k, 0 = -w - 2*k + 4. Let a(t) = w*d(t) + y(t). Find u, given that a(u) = 0.
1, 2
Let w be (24 - (-23688)/(-980))/((-3)/5). Suppose 0*f + 0 + w*f**3 - 6/7*f**2 = 0. What is f?
0, 3
Suppose 15*z - 42867 = -647*z - 5795. Factor 8*x + 2/7*x**2 + z.
2*(x + 14)**2/7
Let z(y) = y**2 - 4*y - 4. Let a be z(4). Let c be 0/(a/(2 + 2)). Determine g, given that 2 - 6 + 10*g**3 - 20*g + 4*g**2 + c + 10*g**3 = 0.
-1, -1/5, 1
Suppose -3*h - 48 = -4*w, 2*w + h + 48 = 6*w. Let r = -10 + w. Let 2/5*u**4 - 4/5*u - 2/5 + 0*u**r + 4/5*u**3 = 0. Calculate u.
-1, 1
Let d(j) = -2*j**3 - 68*j**2 - 724*j - 2666. Let g(u) = 6*u**3 + 205*u**2 + 2171*u + 8000. Let f(i) = -7*d(i) - 2*g(i). Factor f(y).
2*(y + 11)**3
Solve -9/4 + 32*m**5 - 87/8*m - 96*m**4 + 14*m**2 + 60*m**3 = 0 for m.
-1/4, 3/4, 2
Suppose k - 22 = -5*d, 3*k - 5 + 3 = d. Factor k*n - 89 + 6*n + 99 - 2*n**2.
-2*(n - 5)*(n + 1)
Let h(k) be the second derivative of 4/9*k**4 + 1/63*k**7 + 0*k**2 - 16/135*k**6 + 0 - 1/3*k**3 + 7/45*k**5 - 14*k. Suppose h(d) = 0. What is d?
-1, 0, 1/3, 3
Let o(i) be the first derivative of 5*i**4/4 + 20*i**3/3 - 5*i**2/2 - 20*i - 33. Factor o(q).
5*(q - 1)*(q + 1)*(q + 4)
Let w be (-2)/(-8)*2*6. Let t be ((-111)/555)/(3*3/63) + 3. Factor -6/5*c**2 + 0*c - 2/5*c**w + t.
-2*(c - 1)*(c + 2)**2/5
Let t(b) be the second derivative of 3*b - 1/24*b**4 - 1/36*b**3 + 0*b**2 + 1/30*b**5 + 0. Let t(j) = 0. What is j?
-1/4, 0, 1
Let r(v) be the second derivative of -1/21*v**7 - 4/15*v**6 + 0*v**2 - 14*v - 2/3*v**4 - 3/5*v**5 - 1/3*v**3 + 0. Suppose r(d) = 0. Calculate d.
-1, 0
Let s(i) be the third derivative of 5*i**7/42 + i**6/12 - 5*i**5/12 - 5*i**4/12 + 113*i**2. Find v such that s(v) = 0.
-1, -2/5, 0, 1
Factor -2/11*c**2 + 12/11*c - 18/11.
-2*(c - 3)**2/11
Let n(v) be the second derivative of -v**5/60 - v**4/6 + 7*v**3/18 + 3*v - 8. Factor n(g).
-g*(g - 1)*(g + 7)/3
Let u(r) = r**2 + 5. Let p be u(0). Let o be 5/(-3) - ((-18009)/(-324))/(-29). Factor -11/4*b**4 + 0 - o*b + 9/4*b**3 - 1/4*b**2 + b**p.
b*(b - 1)**3*(4*b + 1)/4
Suppose 3*r - 5*u = 1588, -4*u + 2*u = r - 522. Solve 121 - 888*a**4 + 883*a**4 + 169*a - 270*a**2 + 60*a**3 - r + 371*a = 0.
3
Let w be (-100)/140*(-210)/75. Determine u so that -19/2*u**3 + 0*u + 2*u**4 - 5/2*u**w + 0 = 0.
-1/4, 0, 5
Factor 440*v + 605/2*v**2 + 160.
5*(11*v + 8)**2/2
Let -377/2*p - 1/2*p**3 - 94 - 95*p**2 = 0. What is p?
-188, -1
Let d(r) be the first derivative of -5*r**6/12 + 5*r**5/2 - 35*r**4/8 - 5*r**3/6 + 10*r**2 - 10*r - 144. Solve d(t) = 0.
-1, 1, 2
Let r = 36 + -45. Let b be 6/4*(-14)/567*r. Suppose b - 2/3*y + 1/3*y**2 = 0. Calculate y.
1
Let y(s) = s**3 + 4*s**2 - 71*s + 68. Let r be y(6). Solve 1/3*t + 1/3*t**r + 0 = 0.
-1, 0
Let x(n) = n**3 + 3*n**2 + 2*n + 2. Let c be x(-2). Factor -1119*k + 1249*k + 64 + 5*k**c + 0*k**2 + 781.
5*(k + 13)**2
Let q(h) = h**2 + h. Let x(g) = 2*g**2 - 7*g - 9. Suppose 5*m = 3*c - 28, 5*c = 2*c + 3*m + 18. Let a(u) = c*q(u) + x(u). Solve a(b) = 0.
-1, 3
Suppose x - 2*b = 2, -32*b = -30*b. Let f(c) be the first derivative of -8 - c**4 - 1/5*c**5 - 2*c**2 - x*c**3 - c. Let f(r) = 0. What is r?
-1
Let n(m) be the first derivative of -m**6/21 - 12*m**5/35 - 13*m**4/14 - 8*m**3/7 - 4*m**2/7 + 57. Factor n(l).
-2*l*(l + 1)**2*(l + 2)**2/7
Let i be (-54)/(-36)*(-4)/(-3). Factor 13 - 40*a + 4*a**2 + 87 + 0*a**i + 0*a**2.
4*(a - 5)**2
Let 21 - 118*o - 11*o**3 - 34*o**3 - 81 + 305*o**2 - 82*o = 0. What is o?
-2/9, 1, 6
Let t(x) be the second derivative of 121*x**8/168 + 286*x**7/105 + 23*x**6/15 + 4*x**5/15 - 5*x**2 + 4*x. Let w(j) be the first derivative of t(j). Factor w(a).
2*a**2*(a + 2)*(11*a + 2)**2
Suppose -h = 2*j - 5, 1 = -h - j + 3. Let o be 196/110 + h - 4/22. Factor -9/5*i + o*i**2 + 6/5.
3*(i - 2)*(i - 1)/5
Let i(c) be the first derivative of 2*c**7/21 + 8*c**6/15 + c**5 + 2*c**4/3 - 40*c + 25. Let a(j) be the first derivative of i(j). Factor a(r).
4*r**2*(r + 1)**2*(r + 2)
Let n(i) = i**3 + 6*i**2 + 4*i. Let j be n(-4). Determine p so that 48*p**2 + 4*p**3 + j*p**3 - 18*p + 54*p + 8 = 0.
-1, -2/5
Let f(d) be the second derivative of -9*d**6/40 + 117*d**5/80 + 29*d**4/16 + 5*d**3/8 - 9*d + 1. Factor f(g).
-3*g*(g - 5)*(3*g + 1)**2/4
Let n be (78 - (-2 - -3)) + -3. Suppose -w - 5*t + 30 = 0, w + n = 5*w - 3*t. Factor w*r + 2*r**5 - 4*r + 20*r**2 - 6*r + 0*r + 20*r**3 + 10*r**4 + 2.
2*(r + 1)**5
Let s(l) be the first derivative of -l**6/18 + l**5/30 + l**4 + 11*l**3/3 - 19. Let a(t) be the third derivative of s(t). Factor a(z).
-4*(z + 1)*(5*z - 6)
Suppose 3*w = -2*w. Suppose -3*o + 3*u + 9 = -3, w = 3*o + u - 16. Factor -13 + 16*f - 21*f + o*f**2 + 3.
5*(f - 2)*(f + 1)
Let c(h) = h**2 - h - 17. Let r be c(5). Let y be 22/12 + (-3)/r. Let 1/3 - 1/3*n**5 - 1/2*n - 5/6*n**2 + 1/2*n**4 + y*n**3 = 0. What is n?
-1, 1/2, 1, 2
Suppose 3*m + 28 = 4*s, -8 = -0*s + s + 3*m. Let r = -26745/28 - -3823/4. Factor -r*y + 0*y**2 + 2/7*y**s - 2/7 + 4/7*y**3.
2*(y - 1)*(y + 1)**3/7
Let h(u) be the second derivative of 15*u - 1/108*u**4 + 0 + 1/18*u**2 + 0*u**3. Solve h(k) = 0.
-1, 1
Let l(i) be the second derivative of i**5/160 + 3*i**4/16 + 9*i**3/4 + 11*i**2 + 4*i. Let p(y) be the first derivative of l(y). Factor p(t).
3*(t + 6)**2/8
Suppose z + 4*z - 2*h + 4 = 0, 2*h = z + 4. Suppose z*x - 4*x + 16 = 0. Determine q so that -q**4 - 6*q**x + 3*q**4 + 2*q**3 - q**2 + 3*q**4 = 0.
0, 1
Let y = 25 + -22. Suppose -5*u - y*s + 6 = 0, -s = -4*s - 9. What is k in 0*k + 0*k**4 - 18*k**u + 17*k**2 - 5*k**2 - 3*k**5 + 12*k**4 - 3*k = 0?
0, 1
Let i(g) be the first derivative of 7*g**5/4 - 25*g**4/12 - 5*g**3/3 + g + 7. Let t(q) be the first derivative of i(q). Factor t(f).
5*f*(f - 1)*(7*f + 2)
Let l(a) be the third derivative of a**5/90 - a**4/4 - 22*a**3/9 + a**2 + 98*a. Factor l(x).
2*(x - 11)*(x + 2)/3
Let r(p) = -p + 4*p - 3 + 1 - 4*p. Let s be r(-5). Find t, given that 0 - 2/9*t**s + 0*t + 4/9*t**2 = 0.
0, 2
Suppose -v + 2*a + 10 = 0, -4*v - 2 = -v + 2*a. Determine g, given that -2*g + 1/3*g**v + 3 = 0.
3
What is h in 6*h**3 - 38*h**2 + h - 3*h + 42*h**2 = 0?
-1, 0, 1/3
Let l = 5339 - 5337. Factor 3/4 - 3/4*k**l + 9/4*k - 9/4*k**3.
-3*(k - 1)*(k + 1)*(3*k + 1)/4
Let g = 1994 + -5974/3. Factor 80/3*p**2 + g - 52/3*p.
4*(4*p - 1)*(5*p - 2)/3
Let l(t) = t**2 + 16*t + 14. Let g be l(-16). Suppose -2*v = -3*d + g, 0 = 4*d - 7*d - 2*v - 2. Factor -2*f**5 + 0*f**3 - 2*f**3 + 8*f**3 + 4*f**d.
-2*f**2*(f - 2)*(f + 1)**2
Suppose 0 = 19*g - 158 + 82. Let u(o) be the second derivative of 2/5*o**3 + 0*o**2 + 2*o + 0 - 1/15*o**g. Factor u(m).
-4*m*(m - 3)/5
Suppose -4*v - 20 = 4*u, 4*v + 9*u - 5 = 10*u. Let s(t) be the first derivative of 8 + 1/20*t**5 - 1/4*t**2 + v*t - 1/12*t**3 + 1/8*t**4. What is r in s(r) = 0?
-2, -1, 0, 1
Let y(q) = q**3 - 7*q**2 - 17*q + 140. Let j be y(6). Factor -4/7*z - 8/7 + 16/7*z**j + 12/7*z**3.
4*(z + 1)**2*(3*z - 2)/7
Let q = 307 - 302. Let g(n) be the third derivative of 0 + 0*n**3 + 0*n - 2*n**2 + 0*n**4 + 1/105*n**7 + 0*n**q - 1/20*n**6. Let g(m) = 0. What is m?
0, 3
Suppose 0*t + 0 + 2/3*t**3 - 2/3*t**2 = 0. Calculate t.
0, 1
Let -2*k**4 + 51*k**3 + 1080*k - 9*k**3 - 1152 - 324*k**2 - 144 = 0. What is k?
3, 6
Determine b so that -36*b**3 + 5917 - 336*b - 2998 - 224*b**2 - 2983 = 0.
-4, -2, -2/9
Let c = -5241/5 + 15748/15. Factor -l**2 + c*l + 2/3.
-(l - 2)*(3*l + 1)/3
Let r = 18/109 + -143/1526. Let v(f) be the first derivative of 1/21*f**6 - r*f**4 + 2/21*f**3 + 2 - 2/35*f**5 + 0*f + 0*f**2. Factor v(y).
2*y**2*(y - 1)**2*(y + 1)/7
Let g = 16 + -14. Factor -20*h**g + 5*h + 7*h**2 + 12*h**2 - 4*h.
-h*(h - 1)
Let l = -2179/2 - -1090. Let f(d) be the first derivative of -l*d - 8 + 3/8*d**2 + 0*d**3 - 1/16*d**4. Determine m so that f(m) = 0.
-2, 1
Let p(u) = 90*u**3 - 633*u**2 + 2529*u - 1986. Let w(x) = 11*x**3 - 79*x**2 + 316*x - 248. Let r(i) = 4*p(i) - 33*w(i). Factor r(o).
-3*(o - 20)*(o - 4)*(o - 1)
Let q be (12/14)/(5/(-35)). Let y = -3 - q. Determine w so that 4*w**y + 3*w**3 + 2 - w**3 - 6*w + 6*w**2 - 8*w**3 = 0.
1
Suppo