1/56*l**7 + 1/8*l**4 + 0 - 17*l - 1/20*l**6 - 1/8*l**3 + 0*l**5 + 0*l**2. Factor f(q).
3*q*(q - 1)**3*(q + 1)/4
Factor 26*x - 2*x**4 - 67/3*x**2 + 19/2*x**3 - 12 + 1/6*x**5.
(x - 3)**2*(x - 2)**3/6
Suppose 4*n = 4*g + 16, 4*n + 167 = 3*g + 179. Factor n + 1/4*y**3 + 1/4*y**2 - 1/2*y.
y*(y - 1)*(y + 2)/4
Suppose -33*i**3 + 71*i**2 + 13*i**3 + 10*i**3 + 44*i**2 + 110*i + 15*i**3 = 0. What is i?
-22, -1, 0
Let y be ((-90)/(-60))/((-1)/36). Let j = y - -54. Let -4/3*d**2 + j + 4*d**4 - 2/3*d + 10/3*d**3 = 0. Calculate d.
-1, -1/3, 0, 1/2
Suppose -24 = -3*y + 4*l, -4*l + 4 = 5*y - y. Let x = -433 - -445. Solve -v**4 - 8*v**y + 13*v**4 + x*v**2 - 4*v - 12*v**3 = 0.
0, 1
Let u(s) be the third derivative of -s**7/525 + s**5/50 - s**4/30 - 2*s**2 + 20*s. Factor u(p).
-2*p*(p - 1)**2*(p + 2)/5
Let v(x) be the second derivative of x**4/78 - 5*x**3/13 - 16*x**2/13 + 71*x. Factor v(l).
2*(l - 16)*(l + 1)/13
Let p(n) be the first derivative of n**4/16 + 3*n**3/2 + 27*n**2/2 - 14*n - 14. Let q(h) be the first derivative of p(h). Solve q(o) = 0 for o.
-6
Let k be ((-6)/33)/(43/(-473)). Let i(p) be the second derivative of 2*p + 1/3*p**4 + 0 + 8/3*p**3 + 6*p**k. Solve i(t) = 0 for t.
-3, -1
Let 13*c**2 + 48*c - 108870 + 4*c**3 + 27*c**2 + 108582 = 0. What is c?
-6, 2
Let y = -62 - -216. Let z be y/(-88) + 5/2. Factor 9/4*a**2 - z*a**3 - 9/4*a + 3/4.
-3*(a - 1)**3/4
Let y be 24/276*(-3 + (-42)/(-4)). Let m = 211/253 - y. Determine o so that 0*o - 8/11*o**4 - 10/11*o**3 - m*o**5 + 0 - 4/11*o**2 = 0.
-2, -1, 0
Let f(j) = 114*j**2 + 17*j - 89. Let t(a) = -39*a**2 - 6*a + 30. Let d(i) = 3*f(i) + 8*t(i). Let d(k) = 0. What is k?
-1, 9/10
Let u(i) be the second derivative of -i**7/231 - 13*i**6/165 - 19*i**5/110 + 145*i**4/66 - 16*i**3/3 + 64*i**2/11 + 103*i. Factor u(z).
-2*(z - 1)**3*(z + 8)**2/11
Let o(z) be the first derivative of -z**2 + 1/2*z**4 + 14 + 6*z - 2*z**3. Determine i, given that o(i) = 0.
-1, 1, 3
Determine i, given that -2/5*i + 2/5*i**2 - 4/5 = 0.
-1, 2
Factor 12 + 9*s**3 - 15*s**3 + 42*s**3 + s**4 + 11*s**4 - 36*s + 3*s**2.
3*(s + 2)**2*(2*s - 1)**2
Suppose b + 4*x - 3 = 0, -76*b + 15 = -71*b - 2*x. Suppose 0*s**2 - 2/3*s**5 + 4/3*s**b - 2/3*s + 0 + 0*s**4 = 0. What is s?
-1, 0, 1
Let b be 16191/(-1080) - -5 - -10. Let d(s) be the third derivative of -1/240*s**6 + 2*s**2 + b*s**5 + 1/24*s**4 + 0 + 0*s**3 + 0*s. Factor d(l).
-l*(l - 2)*(l + 1)/2
Suppose 43*o + 8 + 8 - 127*o + 20*o**2 = 0. Calculate o.
1/5, 4
Suppose 0 = 5*o - 33 - 22. Let o + 9 - 111*r + 5*r**2 + 86*r = 0. Calculate r.
1, 4
Suppose 24 = -25050*o + 25062*o. Factor 4*j + 2/3*j**o + 6.
2*(j + 3)**2/3
Let j(n) be the third derivative of 0*n - 14*n**2 - 5/6*n**3 + 5/18*n**4 - 1/36*n**5 + 0. Factor j(i).
-5*(i - 3)*(i - 1)/3
Let r(n) be the first derivative of -3/20*n**5 - 1/2*n**3 + 0*n - 1/2*n**2 - 1/40*n**6 + 3 - 3/8*n**4. Let m(h) be the second derivative of r(h). Factor m(p).
-3*(p + 1)**3
Let j(v) = -112*v - 1006. Let q be j(-9). Solve -f - 3/2*f**3 + 0 - 9/4*f**q - 1/4*f**4 = 0.
-4, -1, 0
Let i(d) = d**2 + 11*d + 25. Let w be i(-9). Suppose 0 = -5*f - 3*h + 9, -2*f = -2*h + w*h + 4. Factor -3/2 - 3/2*k**2 + f*k.
-3*(k - 1)**2/2
Let z be 7*6/(-126)*-6. Let o(m) be the third derivative of -1/60*m**6 + 4/75*m**5 + 0*m + 1/525*m**7 + 0 + 14*m**z + 0*m**3 - 1/15*m**4. Factor o(x).
2*x*(x - 2)**2*(x - 1)/5
Determine s so that 2*s**2 + 4702*s**5 - 4704*s**5 + 8*s**4 + 2*s**2 - 10*s**3 = 0.
0, 1, 2
Let b(d) = 24*d**3 - 19 - 26*d**2 - 6*d**3 + 9*d + 20. Let p(a) = 55*a**3 - 79*a**2 + 27*a + 4. Let z(r) = 14*b(r) - 4*p(r). Factor z(f).
2*(f - 1)*(4*f - 1)**2
Suppose -o + 18 - 4 = w, -w + 44 = 4*o. Suppose 3*r - 5 = o. Factor 9 + i**2 - 6*i - r + 4 + 1.
(i - 3)**2
Factor 45 - 80*o + 38*o**3 + 41*o**3 + o**5 - 175*o**2 + 19 - 205*o**2 + 333*o**2 - 17*o**4.
(o - 8)**2*(o - 1)**2*(o + 1)
Suppose 21*z + 252 = 18*z. Let f be (6/7)/((-102)/z + -1). Determine u, given that 6*u - 21/4*u**3 - 3 - 3/4*u**5 + 15/4*u**f - 3/4*u**2 = 0.
-1, 1, 2
Solve -32*r - r**2 - 9382 + 9406 + 15*r**2 - 2*r**3 = 0.
2, 3
Let p = -56 + 59. Let t(d) be the first derivative of -2/5*d**2 + 4/15*d**p - 2/25*d**5 - 1/30*d**6 + 9 + 3/20*d**4 + 0*d. Factor t(w).
-w*(w - 1)**2*(w + 2)**2/5
Factor -30*g**2 - 4 + 100*g**3 + 36*g + 16*g**5 - 145*g + 137*g - 46*g**2 - 64*g**4.
4*(g - 1)**3*(2*g - 1)**2
Let z be 28/(-7)*(9/(-2) - -1). Let g = z + -41/3. Determine m, given that 2/3 - g*m**2 - 1/3*m = 0.
-2, 1
Let x(n) be the second derivative of 1/120*n**4 - 14*n + 1/20*n**2 - 1/30*n**3 + 0. Determine p, given that x(p) = 0.
1
Let n = 1699 + -1696. Let 0*v**n + 0*v - 2/9*v**4 + 0 + 2/9*v**2 = 0. What is v?
-1, 0, 1
Let x = 1453/12 + -483/4. Suppose -2*g + 5 - 2 = -y, 0 = 5*y - g - 12. Factor -1/3*n**4 + 1/3*n**2 - 1/3*n**y + 0 + x*n.
-n*(n - 1)*(n + 1)**2/3
Suppose -148*g + 143*g - 6 = 2*w, 0 = -3*w - 3*g. Let d(h) be the first derivative of 1/3*h**w - 4/9*h - 1 - 2/27*h**3. Find y, given that d(y) = 0.
1, 2
Let m(w) be the second derivative of 3*w**5/40 - 3*w**4/4 + 9*w**3/4 - w - 39. Factor m(p).
3*p*(p - 3)**2/2
Let o be (-1020)/7 - 32/(-56). Let h = o + 146. Solve 0*f + h*f**3 + 0 - 4/7*f**2 = 0.
0, 2/3
Let i(f) = 2*f + 21. Let u be i(-8). Factor -7*p**4 + 2*p + 5*p**4 + 2*p**2 - 2 - 2*p**u - 4*p + 2*p**2 + 4*p**3.
-2*(p - 1)**2*(p + 1)**3
Let p(u) be the third derivative of -u**2 + 1/330*u**5 - 1/33*u**4 + 0*u**3 + 0 + 0*u. Factor p(d).
2*d*(d - 4)/11
Let r(q) be the third derivative of 0 + 0*q**4 + 2/105*q**5 - 2/735*q**7 + 0*q - 14*q**2 + 0*q**3 - 1/210*q**6. Suppose r(i) = 0. What is i?
-2, 0, 1
Let c(z) be the third derivative of z**7/1575 - z**6/300 + z**5/150 + 5*z**4/24 + 16*z**2. Let j(r) be the second derivative of c(r). Factor j(n).
4*(n - 1)*(2*n - 1)/5
Factor -293*b**2 + 294*b**2 + 0 - 13 - 12*b.
(b - 13)*(b + 1)
Let j(w) be the third derivative of w**8/1008 - w**6/45 - w**5/30 + 7*w**4/72 + w**3/3 - 2*w**2. Solve j(c) = 0 for c.
-2, -1, 1, 3
Let p(w) be the second derivative of w**5/25 - 7*w**4/20 - 23*w**3/15 - 21*w**2/10 + 60*w - 4. Suppose p(q) = 0. What is q?
-1, -3/4, 7
Factor -27*d - 72 - 33*d + 3*d**3 + 2540*d**2 - 2546*d**2.
3*(d - 6)*(d + 2)**2
Let j = -177 + 256. Let x = -79 + j. Determine z so that 0 - 2/9*z**2 + x*z = 0.
0
Let v(j) = -j**2 + 3*j. Let b(d) = d**2 + 9*d + 5. Let s(g) = -2*g**2 - 13*g - 8. Let t(p) = 8*b(p) + 5*s(p). Let k(f) = 6*t(f) - 13*v(f). Solve k(x) = 0 for x.
-3, 0
Let d = -19 - -21. Suppose 6*o**4 + 8*o**2 - 2*o + 2*o**5 - d*o + 2*o**3 - 14*o**2 = 0. Calculate o.
-2, -1, 0, 1
Let z(p) = p**2 - 10*p - 3. Let q(u) = -9*u - 3. Let y(t) = -3*t - 5. Let r be y(-3). Let d(w) = r*q(w) - 3*z(w). Factor d(o).
-3*(o + 1)**2
Let o(x) be the second derivative of x**5/60 - 2*x**4/9 + 19*x**3/18 - 2*x**2 + 53*x - 7. Let o(p) = 0. Calculate p.
1, 3, 4
Suppose -g + 4 = -n, -2*g + 23*n - 6 = 28*n. Factor 1/3*f**3 + 0 - 4/3*f**g + 4/3*f.
f*(f - 2)**2/3
Let p be 2/10 + (2 - (-42)/15). Factor -8*y + p*y**2 + 18 - 54 + 14 + 18.
(y - 2)*(5*y + 2)
Let c be (0 - 21/6)/((-14)/(-24)*-3). Solve 0 - 28/3*p**3 + 32/3*p**4 - c*p**5 + 6*p - 16*p**2 = 0 for p.
-1, 0, 1/3, 3
Let c(s) be the third derivative of s**5/360 - 5*s**4/36 + 25*s**3/9 + 69*s**2. Let c(d) = 0. Calculate d.
10
Let z = 46 + -46. Let q(m) be the first derivative of -7 + 3/20*m**5 + z*m**2 + 0*m + 9/16*m**4 + 1/2*m**3. Solve q(p) = 0 for p.
-2, -1, 0
Let v(j) be the third derivative of 3/2*j**3 - 1/120*j**6 - 1/12*j**5 + 10*j**2 - 1/8*j**4 + 0 + 0*j. Factor v(c).
-(c - 1)*(c + 3)**2
Factor -3/4*v**2 + 1/4*v**4 - 1/2 - 5/4*v + 1/4*v**3.
(v - 2)*(v + 1)**3/4
Let j(t) = 21*t + 84. Let d be j(-4). Let a(y) be the second derivative of 1/210*y**6 + 0*y**3 + 1/42*y**4 + d*y**2 - 6*y + 3/140*y**5 + 0. Factor a(r).
r**2*(r + 1)*(r + 2)/7
Let u = -2567/253 - -114/11. Let b = u - -31/69. Factor 2/3*a**2 - 4/9*a**3 + b*a - 4/9.
-2*(a - 2)*(a + 1)*(2*a - 1)/9
Let c(q) be the third derivative of q**6/200 - 81*q**5/100 + 2187*q**4/40 - 19683*q**3/10 + 154*q**2. Determine o so that c(o) = 0.
27
Suppose -274 + 34 = -24*s. Let r(i) be the third derivative of 2/3*i**4 + 0*i + 1/120*i**6 + 0*i**3 + 2/15*i**5 + 0 + s*i**2. Factor r(v).
v*(v + 4)**2
Let o(h) be the first derivative of -23/12*h**4 - 2*h - 1/9*h**3 + 7/15*h**5 + 23/6*h**2 - 7. Find a such that o(