s) = 0.
-2, -1
Let o(m) be the first derivative of m**4/24 + 2*m**3/9 + 5*m**2/12 + m/3 + 59. Factor o(j).
(j + 1)**2*(j + 2)/6
Suppose 0*j + 5*j + 4*n = 10, -5*j = 5*n - 10. Factor 0*q**2 + 2*q - q**j + 2 - 3*q.
-(q - 1)*(q + 2)
Let i(z) = -3*z + 6*z**2 - 3 + 2*z - 1 + z**3. Let u be i(-6). Factor 9*j - 7*j + 2*j**2 + 0*j**u.
2*j*(j + 1)
Suppose 7 + 10 - 19 + 0 - 2*x**4 - 8*x**3 - 8*x - 12*x**2 = 0. Calculate x.
-1
Let p(y) = -y**4 + 9*y**3 - 17*y**2 + 13*y - 4. Let i(u) = 2*u**4 - 19*u**3 + 35*u**2 - 26*u + 8. Let o(h) = -2*i(h) - 5*p(h). Suppose o(k) = 0. What is k?
1, 4
Let j(y) = -y**3 - y**2 + 5*y + 3. Let d be j(-3). Let z be d/(-4)*(-12)/6. Factor 15/2*f**z + 0 + 3*f - 21/2*f**2.
3*f*(f - 1)*(5*f - 2)/2
Suppose 11*p = 2*p + 39*p. Factor p + 2/3*m**2 - 2/3*m**4 + 0*m**3 + 0*m.
-2*m**2*(m - 1)*(m + 1)/3
Let z(r) = 2*r**2 + 6*r - 8. Let x = 28 + -17. Let b be -5 - (-1 - 1) - -7. Let d(l) = -6*l**2 - 17*l + 23. Let g(h) = b*d(h) + x*z(h). What is y in g(y) = 0?
-2, 1
Let t(r) be the first derivative of -r**6/3 - 2*r**5/5 + 3*r**4/2 + 2*r**3/3 - 2*r**2 + 3. Solve t(x) = 0.
-2, -1, 0, 1
Let d(t) be the second derivative of -t**4/60 - t**3/15 + 2*t. What is b in d(b) = 0?
-2, 0
Let u(i) be the first derivative of i**6/24 + i**5/5 + 3*i**4/8 + i**3/3 + i**2/8 - 1. Solve u(l) = 0.
-1, 0
Let s(o) be the third derivative of 8*o**2 + 0 + 2/105*o**7 + 1/24*o**4 + 1/336*o**8 + 1/15*o**5 + 0*o**3 + 1/20*o**6 + 0*o. Factor s(j).
j*(j + 1)**4
Let s be (-1)/2 + (-637)/(-14). Let c be 57/s + 4/(-6). Factor c*w**3 + 1/5*w**5 + 0 + 0*w - 1/5*w**2 - 3/5*w**4.
w**2*(w - 1)**3/5
Let s = 18 - 16. Let c be (s + -2)/(4 + -5). Factor c - 2/11*x**2 + 2/11*x.
-2*x*(x - 1)/11
Let d(m) be the first derivative of -m**3/4 + 3*m/4 + 2. Factor d(t).
-3*(t - 1)*(t + 1)/4
Let f = 68/21 + -11/7. Let a(l) be the second derivative of 0 + 5/3*l**3 + 1/3*l**6 + 3*l + l**2 + l**5 + f*l**4 + 1/21*l**7. Suppose a(s) = 0. Calculate s.
-1
Let u(i) = -6*i**2 + 3*i. Let t(f) = -11*f**2 + 6*f. Let o(s) = -3*t(s) + 5*u(s). Factor o(h).
3*h*(h - 1)
Let s(d) = -d + 9. Let p be s(3). Solve p*i**3 + 6*i**3 + 4*i**4 - 8*i**2 - 8*i**4 = 0 for i.
0, 1, 2
Suppose 0 = 9*m - 10*m + 5. Factor 0 + 1/4*r**4 + 1/4*r**3 - 1/4*r**2 - 1/4*r**m + 0*r.
-r**2*(r - 1)**2*(r + 1)/4
Suppose 10*r = 8*r - 8. Let h = r - -10. Factor h*j + j**2 + j - 9*j.
j*(j - 2)
Let h(s) = -s**3 - 8*s**2 - 8*s - 2. Let y be h(-7). Let -v**y + 0*v**3 - 1 + 2*v**2 - v**4 + 6*v**3 - v - 4*v**3 = 0. What is v?
-1, 1
Let d(h) be the third derivative of -h**8/3360 + h**7/2100 + h**6/600 - 16*h**2. Let d(n) = 0. What is n?
-1, 0, 2
Let r(a) be the third derivative of -1/12*a**3 + 1/120*a**5 + 0*a + 3*a**2 + 0 + 1/48*a**4 - 1/240*a**6. Determine y so that r(y) = 0.
-1, 1
Let 3*p**2 + 4*p - 3 + p**3 - 10*p + 5*p = 0. Calculate p.
-3, -1, 1
Let f be ((-39)/(-9) - 3) + -1. Factor -2/3*l**4 + 0*l + l**3 - f*l**2 + 0.
-l**2*(l - 1)*(2*l - 1)/3
Let w be 0 + -1 - 16/(-12). Suppose -4*y - z - 2 = 0, 5*y + 8 = -5*z - 2. Factor w*c**2 + y - 1/3*c.
c*(c - 1)/3
Let d = 4426/207 + -387/23. Let p(u) be the first derivative of 2/3*u - 21/5*u**5 - 17/6*u**2 + d*u**3 + 4 - 1/4*u**4. Determine f so that p(f) = 0.
-1, 2/7, 1/3
Let c(l) be the third derivative of 7*l**7/9 + 7*l**6/180 - 9*l**5/5 + 17*l**4/9 - 8*l**3/9 - 3*l**2. Determine r so that c(r) = 0.
-1, 2/7, 2/5
Let s(m) = 4*m**3 - 3*m**2 + 2*m - 1. Let o(d) = 5*d**3 - 3*d**2 + 3*d - 1. Suppose -k + 2*k + 5 = 0. Let y(q) = k*o(q) + 6*s(q). Factor y(t).
-(t + 1)**3
Let d(r) be the third derivative of -r**6/240 + r**5/240 + r**4/48 - r**3/24 - 3*r**2. Factor d(b).
-(b - 1)*(b + 1)*(2*b - 1)/4
Suppose 2*z**3 - z**4 + 2 + 3*z**2 - 3*z**3 + 9*z - 4*z = 0. What is z?
-1, 2
Let i(w) be the first derivative of 3*w**5/5 + 3*w**4/2 - 1. Factor i(m).
3*m**3*(m + 2)
Let l(n) = -4*n - 38. Let p be l(-10). Factor 1/4*r**3 - p + 1/2*r**2 - r.
(r - 2)*(r + 2)**2/4
Let g be (33/(-22))/(4/(-8)). Factor 1/5*d + 2/5*d**2 - 2/5 - 1/5*d**g.
-(d - 2)*(d - 1)*(d + 1)/5
Let a = 339 + -2367/7. Determine h, given that a*h**2 + 2/7*h**4 + 6/7*h**3 + 0 + 2/7*h = 0.
-1, 0
Let t = -1627 + 39055/24. Let y(r) be the second derivative of t*r**4 + 0 + 0*r**2 - 1/6*r**3 - 2*r. Factor y(p).
p*(7*p - 2)/2
Suppose g - 3*t = -0*g - 9, -5*t + 11 = -3*g. Let -4/3*m**4 + 4/3 + 2/3*m**5 - 14/3*m + 16/3*m**2 - 4/3*m**g = 0. Calculate m.
-2, 1
Let q(m) be the third derivative of -1/84*m**4 + 2/21*m**3 + 1/210*m**6 + 2/735*m**7 - 2/105*m**5 + 0 - 1/1176*m**8 + 0*m + 3*m**2. Find n, given that q(n) = 0.
-1, 1, 2
Let a(r) = -r**4 + 2*r**3 + r**2 - 2*r + 6. Let p(i) = -1. Suppose 23 = 3*t - d, -2*d + 9 - 1 = 3*t. Let u(b) = t*p(b) + a(b). Determine s, given that u(s) = 0.
-1, 0, 1, 2
Determine h, given that -25*h + 5*h - 15 + 9*h**2 - 14*h**2 = 0.
-3, -1
Factor -1/4*k**2 - 1/4*k + 0.
-k*(k + 1)/4
Let o = -209 + 4181/20. Let z(g) be the first derivative of -1/4*g**2 + 5/12*g**3 - 1 - 1/4*g**4 + o*g**5 + 0*g. Determine j so that z(j) = 0.
0, 1, 2
Let t(y) = y**2 - 11*y + 20. Let p be t(9). Factor -4/3 + 2/3*c**p - 2/3*c.
2*(c - 2)*(c + 1)/3
Let w(r) be the third derivative of -r**6/180 + r**4/36 + 3*r**2. Factor w(z).
-2*z*(z - 1)*(z + 1)/3
What is z in -3/2*z - 3/2*z**2 + 18 = 0?
-4, 3
Suppose 6*q - 5*q - 5 = 0. Let i(l) be the third derivative of -2*l**2 - 1/84*l**4 + 0*l + 1/210*l**q - 1/21*l**3 + 0 + 1/420*l**6. Find g, given that i(g) = 0.
-1, 1
Let l(c) = -c**2 + c. Let k be l(1). Let s be (0 + -1)*k/3. Factor 0*q + 2/7*q**3 + s - 2/7*q**2.
2*q**2*(q - 1)/7
Let q(i) = -5*i**3 + 17*i**2 - 10*i + 2. Let m(s) = 5*s**3 - 18*s**2 + 10*s - 3. Let w(c) = 2*m(c) + 3*q(c). Determine x, given that w(x) = 0.
0, 1, 2
Let h = 5 + 2. Factor h + i**3 - 4*i**2 - 2*i - 3 + i**3.
2*(i - 2)*(i - 1)*(i + 1)
Determine t so that 128/7 - 32/7*t + 2/7*t**2 = 0.
8
Let v = 1283/7 - 183. Suppose 0 = -0*l + 5*l - 10. Factor -2/7*j**l - v - 4/7*j.
-2*(j + 1)**2/7
Let f(r) be the third derivative of -r**5/80 + r**4/8 + 2*r**2. Factor f(t).
-3*t*(t - 4)/4
Suppose -2*j - 6 = -0. Let h(s) = -36*s**2 - 41*s - 9. Let v(f) = -18*f**2 - 21*f - 5. Let q(d) = j*h(d) + 7*v(d). Factor q(g).
-2*(3*g + 2)**2
Let p(h) = -h**2 - 6*h + 3. Let s be p(-6). Suppose -5*j = 2*w + 10, 5*w - 9 + 34 = -4*j. Let 2/9*x**s - 2/3*x + 4/9 + j*x**2 = 0. Calculate x.
-2, 1
Suppose 18*m = 3*m + 30. Factor -4/15*n**m + 0 + 2/15*n + 2/15*n**3.
2*n*(n - 1)**2/15
Let t = 35 + -25. Factor -2*m**3 - t*m - 4 - 14*m**2 - 2*m**2 + 8*m**2.
-2*(m + 1)**2*(m + 2)
Let b(s) be the first derivative of -s**3/3 - s**2 + 8. Factor b(h).
-h*(h + 2)
Let j(k) = 28*k - 1. Let l be j(1). Let d = 27 - l. Factor 2/5*z + 1/5*z**2 + d.
z*(z + 2)/5
Let u(w) be the second derivative of -5*w - 5/18*w**3 - 1/3*w**2 + 0 - 1/30*w**6 + 5/36*w**4 + 1/12*w**5. Suppose u(x) = 0. What is x?
-1, -1/3, 1, 2
Let h(p) = -3*p**2 - 35*p - 69. Let n(k) = -k**2 - 9*k - 17. Let l(t) = 6*h(t) - 22*n(t). Factor l(v).
4*(v - 5)*(v + 2)
Suppose 2*z - 3*z = -4*w + 10, -4*z = -4*w + 4. Let c(u) be the third derivative of 0 + 2*u**2 + 0*u**4 + 0*u + 0*u**w - 1/90*u**5. What is r in c(r) = 0?
0
Suppose 0*l + 5*l = 5*n - 10, l = -n + 2. Factor 1/3*g**4 + 0 - 1/3*g**3 + l*g**2 + 0*g.
g**3*(g - 1)/3
Solve -t**3 - 15*t**4 + 54*t + 20 + 6*t**3 - 5*t**5 + 6*t + 55*t**2 = 0 for t.
-2, -1, 2
Suppose 61 = -4*f + 69. Find v, given that 3/4 + 1/4*v**f + v = 0.
-3, -1
Suppose x = 2*x - 6. Let t(o) = -2*o**4 - 14*o**3 - 16*o**2 - 4*o + 6. Let u(d) = -d**3 - d**2 + 1. Let k(n) = x*u(n) - t(n). Find w, given that k(w) = 0.
-2, -1, 0
Let d = 2 + -10. Let i(u) = -u**3 + u**2 - u + 1. Let o(n) = -4*n**3 + 12*n - 8. Let r(m) = d*i(m) - o(m). Factor r(l).
4*l*(l - 1)*(3*l + 1)
Let g = 15 + -14. Let s(q) be the first derivative of -q**2 + g + 5/12*q**3 + q - 1/16*q**4. Factor s(m).
-(m - 2)**2*(m - 1)/4
Let y = 4 - 1. Factor -y*w + 3*w + w**2 + 2*w.
w*(w + 2)
Suppose -3*l + 88 = 5*m, -l + 5*l = 2*m - 30. Suppose 5*f - 4*g = 7, f - 6*f + m = g. Find d such that 0 + 10/11*d**4 - 4/11*d + 4/11*d**f - 10/11*d**2 = 0.
-1, -2/5, 0, 1
Let p = -19 + 19. Let l(z) be the third derivative of 3/20*z**4 + 2*z**2 + p*z - 7/150*z**5 - 2/15*z**3 + 0. Factor l(x).
-2*(x - 1)*(7*x - 2)/5
Suppose 0 = -3*n - 15, 4*n + 28 = 2*j + 2*j. Factor 6/5*c**2 - 2/5*c**4 - 2/5*c**3 + j*c + 4/5.
-2*(c -