+ 5)/5
Factor -6*f + 12 + 3/4*f**2.
3*(f - 4)**2/4
Let s(r) be the first derivative of -r**5/2 + 5*r**4/2 - 5*r**3 + 5*r**2 - 5*r/2 - 215. Factor s(p).
-5*(p - 1)**4/2
Let f = -11609/3 + 3875. Let -8*b**3 - 2/3*b + 0 - 5*b**2 + f*b**4 = 0. Calculate b.
-1/4, 0, 2
Let j(h) be the second derivative of -5*h**7/84 + 13*h**6/60 + h**5/40 - 17*h**4/24 + h**3/3 + h**2 + 7*h - 5. Suppose j(d) = 0. What is d?
-1, -2/5, 1, 2
Let w(r) be the third derivative of r**8/840 + r**7/210 - r**6/45 - r**5/30 + r**4/4 - 3*r**3 + 16*r**2. Let d(n) be the first derivative of w(n). Factor d(f).
2*(f - 1)**2*(f + 1)*(f + 3)
Let p = 188/7 - 8446/315. Let o(m) be the third derivative of -1/126*m**8 + 2/63*m**7 + 0*m**4 + 0*m**3 + 1/45*m**5 + m**2 - p*m**6 + 0 + 0*m. Factor o(y).
-4*y**2*(y - 1)**2*(2*y - 1)/3
Let a be 7 + -3 - (-1)/(-1). Suppose -2 = -a*z + z. Let t(k) = -4*k**2 - 2*k + 2. Let p(h) = h**2 + h. Let f(j) = z*t(j) + 6*p(j). Factor f(x).
2*(x + 1)**2
Solve -22*f**3 + 18*f - 34*f**2 + 215*f**5 + 209*f**5 - 420*f**5 + 34*f**4 = 0 for f.
-9, -1, 0, 1/2, 1
Let f(m) = -187*m - 933. Let u be f(-5). Factor 0*o - 5/4*o**u + 5/4.
-5*(o - 1)*(o + 1)/4
Suppose 0 = -16*c + 17*c - 7. Let g be 26/56 - (-2)/c. Factor 0 + 0*l**3 + l**2 - g*l**4 - 1/4*l**5 + 0*l.
-l**2*(l - 1)*(l + 2)**2/4
Let x(c) be the first derivative of c**4/4 - 41*c**3/12 + 23*c**2/4 - 9*c/4 - 108. Suppose x(m) = 0. What is m?
1/4, 1, 9
Let b(o) be the first derivative of -3*o**4/28 - 4*o**3/7 + 25. Factor b(j).
-3*j**2*(j + 4)/7
Factor -6/7*d**2 + 12/7*d + 480/7.
-6*(d - 10)*(d + 8)/7
Let c(z) be the third derivative of 1/96*z**4 - 1/480*z**6 - 8*z**2 - 1/240*z**5 + 1/24*z**3 + 0 + 0*z. Determine q, given that c(q) = 0.
-1, 1
Let c(z) be the second derivative of z**6/225 - z**5/30 + z**4/30 + z**3/5 - 5*z - 11. Factor c(p).
2*p*(p - 3)**2*(p + 1)/15
Let b = -2233 + 6700/3. Factor -u + 2/3 + b*u**2.
(u - 2)*(u - 1)/3
Let a(u) = 3*u + 168. Let f be a(-55). Let d(h) be the third derivative of -1/96*h**4 - 1/240*h**5 + 0*h + 1/480*h**6 - 6*h**2 + 0 + 1/24*h**f. Factor d(b).
(b - 1)**2*(b + 1)/4
Let s(c) be the third derivative of 31*c**2 - 1/6*c**5 + 0*c**4 + 0*c + 1/42*c**7 + 0*c**3 + 0 - 1/24*c**6. Solve s(b) = 0.
-1, 0, 2
Let y(t) = 5*t**2 - 2. Let b be y(-1). Let r(v) be the third derivative of 0 + 1/60*v**5 - 2/9*v**b + 1/360*v**6 + 0*v**4 + v**2 + 0*v. Factor r(w).
(w - 1)*(w + 2)**2/3
Let 0 + 1/6*p**3 + 1/3*p**2 + 0*p - 1/6*p**4 = 0. Calculate p.
-1, 0, 2
Let d(i) be the third derivative of 0*i**3 + 0 - 2/315*i**7 + 0*i - 22*i**2 + 0*i**4 - 1/45*i**5 - 1/45*i**6. Factor d(w).
-4*w**2*(w + 1)**2/3
Suppose -16*g + 15*g = 0. Suppose -u + 2 = 2*s - 2, 2*u = -3*s + 7. Find i, given that -3*i**2 - 3*i**u - 4*i - 3*i**3 + g*i + i = 0.
-1, 0
Let k(v) be the first derivative of 2/5*v**5 - 2 + 1/6*v**6 + 1/4*v**4 + 0*v**3 + 0*v**2 + 0*v. Suppose k(o) = 0. What is o?
-1, 0
Let w = 154/291 + 2/485. Let p(a) be the first derivative of 2/45*a**3 + 1 + 1/6*a**4 + w*a - 1/45*a**6 - 8/15*a**2 - 2/75*a**5. Factor p(k).
-2*(k - 1)**3*(k + 2)**2/15
Suppose 4*l - 10 + 2 = 0. Factor -10*v**3 + 11*v**l - 4 - 30*v - 12*v**3 - 59*v**2.
-2*(v + 1)**2*(11*v + 2)
Suppose 10*j = -0*j + 30. Let w be 6/(-9)*(162/30)/(-3). Factor 6/5*u - 2/5 - w*u**2 + 2/5*u**j.
2*(u - 1)**3/5
Suppose -28 = -4*h - 0*h. Let a(o) = -o**2 + 9*o - 12. Let b be a(h). Let 2 - n**3 + 3 + 4 + 7*n**b - 15*n = 0. Calculate n.
1, 3
Suppose 11*i - 42 = 4*i. Let k(a) be the first derivative of -2/3*a**i + 6*a**2 + 13 - 2*a**4 + 4*a + 8/3*a**3 - 12/5*a**5. Determine r so that k(r) = 0.
-1, 1
What is l in -4/3*l + 8/3*l**2 - l**5 + 13/3*l**3 + 0 - 2/3*l**4 = 0?
-2, -1, 0, 1/3, 2
Factor -483*w - w**2 + 183*w + 229*w - 204.
-(w + 3)*(w + 68)
Let c be (-45)/(-30)*(-2)/(-3). Let a(o) = -o**2 + o + 1. Let r(h) = 8*h**2 - 8*h + 2. Let n(v) = c*r(v) + 10*a(v). Solve n(j) = 0 for j.
-2, 3
Suppose -i - 5*k + 10 = -2*k, i = 3*k - 2. Let j**3 + i*j**3 - 25*j**2 - 1 + 1 = 0. What is j?
0, 5
Let c(a) be the first derivative of a**5/170 + a**4/34 + a**3/17 + a**2/17 - 18*a - 18. Let z(q) be the first derivative of c(q). Factor z(g).
2*(g + 1)**3/17
Let u(q) be the third derivative of q**8/1344 - q**7/210 + q**6/96 - q**5/120 + 655*q**2. Factor u(m).
m**2*(m - 2)*(m - 1)**2/4
Suppose 5*k + 2*o = 18, 0*k + 22 = 5*k - 2*o. Let g(y) = -879*y - 4392. Let h be g(-5). Determine t so that -3/2 - 9/4*t**k + 27/4*t**2 - 3/4*t**h - 9/4*t = 0.
-2, -1/3, 1
Let d(p) be the third derivative of p**5/690 - 11*p**4/138 + 40*p**3/69 - 197*p**2. Factor d(v).
2*(v - 20)*(v - 2)/23
Find z, given that 24 - 49*z**4 - 49*z**4 + 18*z - 46*z**4 - 20*z**3 - 20*z**2 + 140*z**4 + 2*z = 0.
-3, -2, -1, 1
Let a(t) = 35*t**2 + 45*t + 5. Suppose -3*r - 2 = 13. Let p(d) = -34*d**2 - 45*d - 5. Let s(m) = r*p(m) - 6*a(m). Factor s(z).
-5*(z + 1)*(8*z + 1)
Let z(c) = 10*c**4 - 35*c**3 - 35*c**2 + 25*c + 25. Let s(l) = 9*l**4 - 34*l**3 - 36*l**2 + 26*l + 27. Let i(d) = 5*s(d) - 4*z(d). Factor i(j).
5*(j - 7)*(j - 1)*(j + 1)**2
Let f(y) = 25*y**3 - 94*y**2 + 108*y - 28. Let v(r) = 432*r - 375*r**2 - 59 + 99*r**3 - 17 - 35. Let t(j) = 15*f(j) - 4*v(j). Determine s so that t(s) = 0.
2/7, 2
Factor 17866*f + 0*f**5 - 10*f**2 + 5*f**5 - 15*f**3 - 17866*f.
5*f**2*(f - 2)*(f + 1)**2
Let w = 120871/305 - 1981/5. Let t = 226/183 + w. Factor 4/3*g + 2/3*g**2 - t*g**3 - 2/3*g**4 + 0.
-2*g*(g - 1)*(g + 1)*(g + 2)/3
Suppose 6*j - 11*j + a = -264, -2 = -2*a. Suppose -54*k = -j*k - 5. Factor 0*h**2 + 8/3*h**3 + 0 + 0*h - 28/3*h**4 + 4*h**k.
4*h**3*(h - 2)*(3*h - 1)/3
Let t(q) be the second derivative of -q**7/14 + 19*q**6/30 - 13*q**5/20 - 33*q**4/4 + 18*q**3 + 54*q**2 + 122*q. Factor t(n).
-(n - 3)**3*(n + 2)*(3*n + 2)
Let v(n) be the third derivative of n**5/30 + 7*n**4 + 588*n**3 - 4*n**2 - 32. What is c in v(c) = 0?
-42
Let w(f) = f**3 - f**2 + f. Let k(d) = 5*d**4 + 460*d**3 + 15865*d**2 + 179175*d + 163840. Let a(l) = -k(l) - 25*w(l). Factor a(s).
-5*(s + 1)*(s + 32)**3
Let g(a) be the first derivative of -3/4*a**3 + 0*a + 1 - 1/40*a**5 - 1/4*a**4 + 1/2*a**2. Let o(v) be the second derivative of g(v). Factor o(n).
-3*(n + 1)*(n + 3)/2
Let d(x) be the first derivative of 2*x**6/21 + 4*x**5/7 + 2*x**4/7 - 8*x**3/3 - 6*x**2/7 + 36*x/7 - 7. What is c in d(c) = 0?
-3, -1, 1
Let q(h) be the third derivative of -h**7/84 + h**5/4 + 5*h**4/6 + 5*h**3/4 - 2*h**2 + 85*h. Solve q(z) = 0.
-1, 3
Let y(g) be the second derivative of -g**8/57120 - g**7/21420 + 7*g**4/12 + 3*g. Let n(m) be the third derivative of y(m). Suppose n(o) = 0. What is o?
-1, 0
Let w(t) be the third derivative of -t**6/540 + t**5/45 - t**4/12 + 3*t**3 + 14*t**2. Let j(c) be the first derivative of w(c). Factor j(n).
-2*(n - 3)*(n - 1)/3
Solve 9216/5 + 4/5*o**2 + 384/5*o = 0.
-48
Let x(q) = 9*q**2 + 15*q. Suppose 11 = -2*a - 3. Let f(y) = 4*y**2 + 7*y. Let b(u) = a*f(u) + 3*x(u). Determine m so that b(m) = 0.
-4, 0
Factor 60*f**2 - 48*f - 143 + 143 - 24*f**3 + 3*f**4.
3*f*(f - 4)*(f - 2)**2
Let x(c) be the second derivative of -c**7/9 + 67*c**6/90 - 17*c**5/10 + 13*c**4/9 - 4*c**3/9 + 76*c + 1. Find g such that x(g) = 0.
0, 2/7, 1/2, 2
Suppose 3*o - 28*o = -50. Let r(z) be the first derivative of 0*z**2 + o + 0*z + 3/5*z**5 + 0*z**4 - z**3. Let r(v) = 0. What is v?
-1, 0, 1
Let a(c) be the second derivative of c**6/35 - 12*c**5/35 - c**4/14 + 8*c**3/7 - 3*c + 2. Determine p so that a(p) = 0.
-1, 0, 1, 8
Let h = 32 - 28. Let b(o) be the second derivative of 1/12*o**3 - 2*o - 1/48*o**h - 1/8*o**2 + 0. Solve b(q) = 0 for q.
1
Let n(o) = o**3 - o**2 - o + 1. Suppose -2*x + 1 = -3. Let z(p) = -4*p**2 + 4. Suppose -29*v = d - 25*v, v = 5*d + 21. Let h(y) = d*n(y) + x*z(y). Factor h(c).
-4*(c - 1)*(c + 1)**2
Let r(b) = -b**4 + b**3 + 2*b**2 - 1. Let w(y) = -y**4 + y**3 + 8*y**2 - 4. Let p(m) = 4*r(m) - w(m). Suppose p(k) = 0. What is k?
0, 1
Let d(m) = -1. Suppose 5*n = -2*t - 22, -4*t - 5*n = 11 + 13. Let j(k) = -2*k**2 - 2*k. Let o(i) = t*j(i) + 4*d(i). Factor o(a).
2*(a - 1)*(a + 2)
Let i be -637 + 633 - 7/(21/(-20)). What is v in -52/3*v**3 - 8/3 + 18*v**2 + 14/3*v**4 - i*v = 0?
-2/7, 1, 2
Let q(i) be the third derivative of i**6/540 - i**5/720 + 5*i**3/6 - 8*i**2. Let b(n) be the first derivative of q(n). Factor b(u).
u*(4*u - 1)/6
Suppose 6*r + 4 = 94. Let o =