 -11*(-1 - s) + -1. Let y*o - o + 0*o**2 + 3 - 9*o**3 - 3*o**2 = 0. What is o?
-1, -1/3, 1
Suppose 0*r = -r - 7. Let d(z) = -2*z - 12. Let c be d(r). Let -8*x**c - 6*x**4 - 2*x**4 + 4*x + 7*x**4 + 5*x**3 = 0. What is x?
0, 1, 2
Let f(j) = -112*j**3 - 209*j**2 - 104*j - 16. Let p(a) = a**3. Let l(g) = 4*f(g) - 36*p(g). Factor l(m).
-4*(m + 1)*(11*m + 4)**2
Let i(r) = -11*r + 13*r - 1 + 3*r**3 - 2*r**3 + 4*r**2. Let z be i(-2). Factor 3*c**z + 6*c - 2 - 1/2*c**4 - 13/2*c**2.
-(c - 2)**2*(c - 1)**2/2
Let p(i) be the third derivative of -1/70*i**7 - 1/20*i**5 + 1/20*i**6 + 0*i**4 - 8*i**2 + 0*i + 0 + 0*i**3. Factor p(d).
-3*d**2*(d - 1)**2
Let 0 + 10/3*v**2 - 1/3*v = 0. What is v?
0, 1/10
Let z(h) be the second derivative of h**6/165 + h**5/11 - 2*h - 6. Factor z(b).
2*b**3*(b + 10)/11
Let k(d) = -19*d**2 - 8*d + 4. Let u(o) = 11*o**2 - 2*o**2 + 7*o - 2 + 0*o - 3*o. Let t(c) = 3*k(c) + 7*u(c). Factor t(s).
2*(s + 1)*(3*s - 1)
Let z(o) be the third derivative of 1/510*o**5 + 0*o**3 + 0*o + 1/51*o**4 - 12*o**2 + 0. Determine v so that z(v) = 0.
-4, 0
Suppose -5*w = -0*w + 4*n - 39, 3*w = n + 20. Factor w*a**2 - 13*a**2 + 5*a**2.
-a**2
Let w be (-24)/108 - (-4)/18. Factor -s + s**3 + w*s**3 - 2*s**3 - 2*s**2 + 0*s**2.
-s*(s + 1)**2
Let d = 147 - 143. Suppose 5*w = 3*f + d + 3, 2*w - f = 3. Suppose -8 - 4*q - 1/2*q**w = 0. Calculate q.
-4
Let r(j) = -2*j**4 + 4*j**3 + 15*j**2 - 7*j - 16. Let o(f) = -2*f**4 + 4*f**3 + 16*f**2 - 6*f - 16. Let a(w) = 6*o(w) - 4*r(w). Solve a(y) = 0.
-2, -1, 1, 4
Let s(n) be the second derivative of n**9/5040 - n**8/2800 - n**7/1400 + n**6/600 + n**3/3 + 12*n. Let b(i) be the second derivative of s(i). Factor b(o).
3*o**2*(o - 1)**2*(o + 1)/5
Suppose -5*p = 4*t - 15, 2*p + 0 = -4*t + 6. Let k be 4 - t - (1 - (-10)/4). Factor -2*l**2 - 2*l - k*l**3 + 0.
-l*(l + 2)**2/2
Let h(u) = u**2 - 14. Let j be h(6). Let k = j - 18. Suppose -7*z**2 - 8 - 14*z**2 - k - 48*z = 0. What is z?
-2, -2/7
What is l in 0 - 4/3*l - 14/3*l**5 + 10/3*l**4 + 6*l**3 - 10/3*l**2 = 0?
-1, -2/7, 0, 1
Suppose 4*u - 38 = 146. Let p be (-33)/(-44) + u/24. Factor -2/3*o**2 - p*o - 8/3.
-2*(o + 2)**2/3
Let s(x) = 8*x**2 - 11*x - 13. Let w(y) = 22*y**2 - 32*y - 38. Let z(n) = -8*s(n) + 3*w(n). Factor z(l).
2*(l - 5)*(l + 1)
Let v(u) be the first derivative of -36*u**5/5 - 20*u**4 - 52*u**3/3 - 4*u**2 + 81. Factor v(y).
-4*y*(y + 1)**2*(9*y + 2)
Let r(d) be the first derivative of -d**3/4 - 9*d**2/2 - 15*d + 73. Factor r(h).
-3*(h + 2)*(h + 10)/4
Let l(s) = -s**5 + 20*s**4 + 47*s**3 + 60*s**2 + 15*s - 3. Let t(x) = x**5 - 39*x**4 - 95*x**3 - 119*x**2 - 31*x + 5. Let g(b) = -5*l(b) - 3*t(b). Factor g(i).
i*(i + 2)*(i + 3)**2*(2*i + 1)
Let t be 83/(-60) - 5/((-100)/30). Let p(y) be the second derivative of 0*y**2 + 4*y + 1/28*y**7 + 0 + t*y**6 - 1/8*y**4 + 3/40*y**5 - 1/6*y**3. Factor p(d).
d*(d + 1)**3*(3*d - 2)/2
Let i(l) be the second derivative of -5*l**7/42 + 11*l**5/2 + 10*l**4 - 75*l**3/2 - 42*l. Solve i(a) = 0 for a.
-3, 0, 1, 5
Let q(f) = 5*f**2 - 5*f - 3. Let b be (2 - 3)*24/3. Let t(k) = 14*k**2 - 14*k - 8. Let p(j) = b*q(j) + 3*t(j). Factor p(a).
2*a*(a - 1)
Factor -81*r**5 - 355*r**3 - 107*r**2 - 4 - 48*r - 84*r**2 - 279*r**4 - 10*r**2.
-(r + 1)**3*(9*r + 2)**2
Let r(t) be the third derivative of -t**5/300 - 13*t**4/120 + t**3 - 112*t**2. Suppose r(s) = 0. Calculate s.
-15, 2
Let f be 4 + 3*(-8 - 4/(-1)). Let o be (-24)/(-9)*(-6)/f. Factor 0 + 2/5*h**o + 0*h.
2*h**2/5
Let i(s) be the second derivative of -s**5/50 - 4*s**4/15 - 7*s**3/5 - 18*s**2/5 - 275*s. Solve i(b) = 0 for b.
-3, -2
Suppose 5*x + 9*m - 5 = 4*m, -m = 3*x - 5. Factor -9*b + 3*b + 6*b**3 + 21*b**2 - 3*b**4 - 18*b**x.
-3*b*(b - 2)*(b - 1)*(b + 1)
Let v be 3/36*-2 - (-169)/780. Let s(c) be the second derivative of 0 + v*c**3 + 1/120*c**4 + 1/10*c**2 + 13*c. Factor s(z).
(z + 1)*(z + 2)/10
Let f(w) be the second derivative of -1/2*w**4 + 1/3*w**2 - 8/9*w**3 + 0 - 14*w. Let f(r) = 0. Calculate r.
-1, 1/9
Let p(y) be the third derivative of 0*y + 1/6*y**4 - 6*y**2 - 1/60*y**5 + 0 + 0*y**3. Let p(r) = 0. What is r?
0, 4
Let f(b) be the second derivative of b**8/3360 - b**7/315 + b**6/90 + 17*b**4/12 + 6*b. Let v(i) be the third derivative of f(i). Solve v(d) = 0 for d.
0, 2
Suppose 76*x - 49*x - 108 = 0. Let s(n) be the first derivative of -2/5*n**5 + 0*n**3 + 0*n**2 + 0*n - n**x - 10. Find k, given that s(k) = 0.
-2, 0
Let i = 8 - 9. Let t = i - -3. Factor 0*p + 6*p**2 - 15*p - 6 + 15*p**t.
3*(p - 1)*(7*p + 2)
Let r = -2089 + 2089. Let v(a) be the third derivative of 0 + 0*a + 1/10*a**6 + 0*a**7 - 15*a**2 + r*a**3 + 0*a**4 + 2/15*a**5 - 1/84*a**8. Factor v(y).
-4*y**2*(y - 2)*(y + 1)**2
Factor -125/3 + 45*d**2 - 29/3*d**3 + 2/3*d**4 - 175/3*d.
(d - 5)**3*(2*d + 1)/3
Let r(m) = 4*m**2 + 15*m - 4. Let i be r(-4). Let f(x) be the second derivative of 0 + 1/5*x**5 + 7*x + i*x**4 - 2*x**3 - 4*x**2. Suppose f(k) = 0. What is k?
-1, 2
Let t(l) be the second derivative of l**5/10 + 82*l**4/3 + 6724*l**3/3 - 378*l. Factor t(u).
2*u*(u + 82)**2
Suppose -w = -d - 112, 4*d = 3*d - 4*w - 92. Let k = d - -111. Let 9/5*i**k + 0*i**2 + 0 - 3/5*i**4 - 12/5*i = 0. What is i?
-1, 0, 2
Let w(q) = 0*q - 3*q - 6 - 5 + 4. Let m be w(-3). Factor 0 + 1/5*n**5 - 4/5*n**4 + 1/5*n - 4/5*n**m + 6/5*n**3.
n*(n - 1)**4/5
Suppose 9*p - 11*p = -156. Let g = p + -467/6. Solve 0*i - g*i**4 + 0*i**2 - 1/6*i**3 + 0 = 0.
-1, 0
Let g = 29743/9 + -3303. Factor -2/9*w**3 - 4/3*w**2 - g - 8/3*w.
-2*(w + 2)**3/9
Let w(p) be the second derivative of 4*p**7/189 - p**6/15 + p**5/15 - p**4/54 + 2*p - 1. Solve w(h) = 0 for h.
0, 1/4, 1
Determine p so that 16 - 98*p + 43*p**4 - 7/2*p**5 - 283/2*p**3 + 184*p**2 = 0.
2/7, 1, 2, 8
Let h(f) be the third derivative of f**5/20 - 9*f**3/2 + 37*f**2. Find k such that h(k) = 0.
-3, 3
Let o(x) be the second derivative of x**7/105 - 2*x**6/15 + 4*x**5/5 - 8*x**4/3 + 16*x**3/3 - 32*x**2/5 - 33*x. Solve o(i) = 0 for i.
2
Let j(w) be the first derivative of -1/15*w**5 + 2*w**2 + 1/2*w**4 - 15 - 4/3*w - 13/9*w**3. Suppose j(l) = 0. What is l?
1, 2
Suppose -5*k = -k - 12, 0 = 102*c - 105*c + 4*k. Solve 1/4*b**3 - 1/2*b**c + 0*b + 1/4*b**2 + 0 = 0 for b.
-1/2, 0, 1
Let z(c) = -75*c**2 + 94*c - 23. Let k(y) be the first derivative of 200*y**3 - 753*y**2/2 + 183*y + 4. Let u(d) = 4*k(d) + 33*z(d). Factor u(x).
-3*(5*x - 3)**2
What is m in 2/15*m**3 + 0 - 4/5*m**2 + 16/15*m = 0?
0, 2, 4
Let c be (-20)/(-12) + (-5)/(-15). Solve -44*k**c + 50*k**2 - 3*k**5 - 2*k**4 - 4*k**4 + 3*k = 0 for k.
-1, 0, 1
Suppose 2*c = 4*j + 58, 5*c - 3*j = -4*j + 90. Solve 19*i + 13*i - c*i**4 + 15*i**4 - 48*i**2 + 24*i**3 = 0 for i.
0, 2
Let p be (-10)/(-105) - (1360/168 + -8). Let x(h) be the third derivative of p*h - 1/240*h**5 + 0 + 1/24*h**3 + 4*h**2 + 0*h**4. Suppose x(c) = 0. What is c?
-1, 1
Let l = 2953 + -2947. Factor 15/4*p**5 - l*p**4 + 3/2*p**2 + 3/4*p**3 + 0*p + 0.
3*p**2*(p - 1)**2*(5*p + 2)/4
Let f(s) = -s**2 - 18*s + 26. Let w be f(-19). Let k be (6 - -2)*w/(-315)*-5. Factor 26/9*q**3 + 14/9*q - 2/9 - 10/3*q**2 - k*q**4.
-2*(q - 1)**3*(4*q - 1)/9
Suppose -z - 3*k - 4 = -2*z, 3*k = -3*z. Let v(l) = 6*l**4 - 4*l**2 + 8*l + 2. Let f(b) = b**4 + b**3 - b**2 + b + 1. Let h(o) = z*v(o) - 4*f(o). Factor h(a).
2*(a - 1)**3*(a + 1)
Suppose -4*z + 13 = -h, -3 = 5*z + 4*h - 14. Factor 1 - 9*w + 2*w**3 + 4 + 8*w - w**z - 5*w**2.
(w - 5)*(w - 1)*(w + 1)
Let a(n) = n**2 - n + 7. Suppose 0 = -2*j + 4*p - 2, 0 = -4*j - j - p + 39. Let u(o) = o**2 - o + 6. Let t(h) = j*u(h) - 6*a(h). Factor t(x).
x*(x - 1)
Let l = 71 + -75. Let s(f) = -1. Let c(w) = 4*w**2 + 136*w + 1152. Let m(u) = l*s(u) + c(u). Factor m(d).
4*(d + 17)**2
Let x(f) be the third derivative of -1/80*f**6 + 5*f**2 - 27/4*f**4 + 0 + 54*f**3 + 0*f + 9/20*f**5. Factor x(n).
-3*(n - 6)**3/2
Let i(j) be the first derivative of -j**4/4 - j - 13. Let w(g) be the first derivative of i(g). Determine s, given that w(s) = 0.
0
Let 190*q**2 - 125*q**3 + 38*q**5 - 90*q - 50*q + 40 - 43*q**5 + 40*q**4 = 0. What is q?
1, 2
Suppose 0*o - 1/4*o**4 + 3*o**3 + 16*o**2 + 0 = 0. Calculate o.
-4, 0, 16
Let g be ((-2592)/(-60) - 48)*5/(-9). Let 2/3*n**3 - g + 6*n - 4*n**2 = 0. What is n?
1, 4
What is g in -54*g**3 - 146*g**2 + 152*g**2 - 3*g**4 + 51*g**3 = 0?
-2, 0, 1
Solve 39/2*s