. Let k(p) be the third derivative of c(p). Factor k(v).
v*(v - 1)*(3*v + 1)/4
Suppose 193*c = 199*c. Factor 0*f + 2/5*f**2 + 1/5*f**5 - 2/5*f**4 + c - 1/5*f**3.
f**2*(f - 2)*(f - 1)*(f + 1)/5
Suppose -2/11 + 0*v + 2/11*v**2 = 0. Calculate v.
-1, 1
Let m = -1 + -5. Let k = m - -8. Factor -2/9 - 4/9*u - 2/9*u**k.
-2*(u + 1)**2/9
Suppose -r = -2*r. Let g(m) be the first derivative of -1/2*m**2 + r*m - 1/6*m**3 + 1. What is c in g(c) = 0?
-2, 0
Let u(z) = z**3 - 4*z**2 + 2*z - 6. Let k be u(4). Suppose -m - k*m = 0. Solve -1 - r**3 + m*r**2 + 4*r**2 - 5*r + 3 + 0*r**3 = 0 for r.
1, 2
Factor 3*y**3 - 239*y**2 + 245*y**2 - 13*y**3 + 4*y.
-2*y*(y - 1)*(5*y + 2)
Let n = -3/13 - -109/78. Suppose 1/6 - 5/6*u + 3/2*u**2 + 1/3*u**4 - n*u**3 = 0. Calculate u.
1/2, 1
Let w(g) = g**3 + 18*g**2 + 41*g - 55. Let n be w(-15). What is f in 0*f - 4/3*f**n + 0*f**2 + 16/3*f**3 + 0*f**4 + 0 = 0?
-2, 0, 2
Let n(h) = -h + 10. Let i be n(5). Let t(k) be the third derivative of 3*k**2 - 1/12*k**4 + 0*k + 0*k**3 + 1/30*k**i + 0. What is c in t(c) = 0?
0, 1
Let p(m) be the first derivative of 4*m**5/15 - 17*m**4/12 + 8*m**3/3 - 13*m**2/6 + 2*m/3 - 3. Factor p(q).
(q - 2)*(q - 1)**2*(4*q - 1)/3
Let q(k) be the first derivative of 3*k**5/5 + 3*k**4 + 5*k**3 + 3*k**2 - 14. Factor q(m).
3*m*(m + 1)**2*(m + 2)
Let o(i) be the second derivative of -i**4/42 - 2*i**3/21 - i**2/7 + 13*i. Factor o(j).
-2*(j + 1)**2/7
Let m(g) = -g**3 + 8*g**2 - 6*g + 9. Let n be m(7). What is p in n - 16 + 4*p**2 - 2*p - 2*p**3 = 0?
0, 1
Let r(f) = -f**2 + 7*f + 11. Let b be r(8). Let 2/5*u - 2/5*u**4 + 0 + 6/5*u**b - 6/5*u**2 = 0. What is u?
0, 1
Let r be 4 - (172/56 - 0). Let o = -3/7 + r. Determine y so that 5/2*y**3 - o*y**4 + 7/2*y - 1 - 9/2*y**2 = 0.
1, 2
Let -18*o**4 - 2 + 39*o**3 + 16*o - 44*o**2 - 22*o**3 + 31*o**3 = 0. What is o?
1/3, 1
Let v = 12 + -6. Let n(a) = -a + 6. Let m be n(v). What is j in 4*j**3 + 6*j**2 + m*j - 12*j**3 + 2*j = 0?
-1/4, 0, 1
Let g(f) be the second derivative of -f**4/2 + 9*f**3/2 + 15*f**2/2 - 19*f. Factor g(p).
-3*(p - 5)*(2*p + 1)
Let d(w) be the second derivative of w**6/10 - 3*w**5/10 + w**3 - 3*w**2/2 - 6*w. Solve d(s) = 0.
-1, 1
Let d(l) be the second derivative of l**7/63 + l**6/9 + 4*l**5/15 + 2*l**4/9 + 6*l. Suppose d(u) = 0. What is u?
-2, -1, 0
Suppose 0 = v + 2*v. Let h(r) be the first derivative of 1 - 2/5*r**5 + 0*r**2 + 0*r**3 + 1/2*r**4 + v*r. Factor h(w).
-2*w**3*(w - 1)
Factor 3*z + 3*z**2 + z**3 + 2*z**3 - 9*z**2.
3*z*(z - 1)**2
Suppose -x = -4*x + 15. Factor 0*j - 6*j + x*j**2 - 3*j**2 + 4*j.
2*j*(j - 1)
Let t be ((-8)/((-6)/(-3)))/(0 + -3). Find f such that 0 - t*f**2 - 2*f**3 + 0*f + 0*f**4 + 2/3*f**5 = 0.
-1, 0, 2
Suppose 5*d - 3*d - 4*d = 0. Factor v**2 - 1/3*v**3 + 0 + d*v.
-v**2*(v - 3)/3
Suppose -4*m + 7*m + m**2 - 2*m = 0. Calculate m.
-1, 0
Let l = 5 + -3. Factor -13 + 15 + 3*h**l - 2*h**2 + 3*h.
(h + 1)*(h + 2)
Let d(g) = -g**2 + g + 3. Let y be d(0). Let b be 9/4 + y/(-12). Let -i**5 - 2*i**4 + i + 0*i - b*i**2 + 4*i**4 = 0. What is i?
-1, 0, 1
Let l be (-104)/65*(0 - 35). Let w be 2 - 1 - (-344)/l. Solve -76/7*o**2 + 8*o - 16/7 + w*o**3 + 2/7*o**5 - 16/7*o**4 = 0 for o.
1, 2
Let m(u) = -u**2 - 13*u - 9. Let l be m(-12). Factor -7*b**2 + 6*b + 9*b - 9 + 0 + b**l.
(b - 3)**2*(b - 1)
Let j(u) = -4*u**3 - 20*u**2 - 29*u + 5. Let z(b) = -10*b**3 - 50*b**2 - 72*b + 12. Let v(p) = -12*j(p) + 5*z(p). Determine w, given that v(w) = 0.
-3, -2, 0
Suppose 0*i - 3*i - 4*x - 20 = 0, 0 = -4*i - 5*x - 26. Let o be (-1)/i + 14/8. Factor 7*v**2 - 2*v - 2*v**o - 3*v**2.
2*v*(v - 1)
Let o = 45 + -38. Let v(p) be the second derivative of 0 - 1/10*p**5 + 0*p**2 - 1/3*p**6 + 0*p**4 - 25/84*p**o + 0*p**3 + 3*p. Determine x so that v(x) = 0.
-2/5, 0
Let r = -2 - -5. Let 2 + 24*c**2 - 15*c + 43*c - 71*c**2 + 60*c**4 - 6 - 19*c**r = 0. Calculate c.
-1, 1/4, 2/5, 2/3
Find w, given that -10*w + 2*w**3 + 0*w + 10*w = 0.
0
Let q be 24/10*45/18. Let k(o) be the second derivative of 0*o**5 - o + 0 + 1/2*o**2 + 1/30*o**q - 1/6*o**4 + 0*o**3. Factor k(r).
(r - 1)**2*(r + 1)**2
Factor 2/3 - 5/3*v + 4/3*v**2 - 1/3*v**3.
-(v - 2)*(v - 1)**2/3
Let g(d) be the second derivative of d**6/105 - 4*d**5/35 + d**4/2 - 6*d**3/7 - 8*d. Factor g(q).
2*q*(q - 3)**2*(q - 2)/7
Determine d so that -3*d**2 + 2*d**5 + 6*d**3 + 3*d**5 + 7*d**2 - 7*d**5 = 0.
-1, 0, 2
Let o(h) = -54*h**4 - 108*h**3 - 72*h**2 - 25*h - 7. Let m(y) = y + 1. Let r(k) = k + 1. Let c be r(-6). Let b(w) = c*m(w) - o(w). Factor b(x).
2*(x + 1)*(3*x + 1)**3
Let k(r) be the second derivative of -r**10/75600 + r**8/8400 - r**6/1800 - r**4/6 + 2*r. Let d(i) be the third derivative of k(i). Factor d(n).
-2*n*(n - 1)**2*(n + 1)**2/5
Let v(d) = -7*d**5 - 4*d**4 + 6*d**3 - 4*d**2 + d. Let q(h) = -8*h**5 - 5*h**4 + 6*h**3 - 5*h**2 + 2*h. Let z(j) = -4*q(j) + 5*v(j). Factor z(m).
-3*m*(m - 1)**2*(m + 1)**2
Let o(q) = -q**3 + 5*q**2 - 3*q + 6. Let h be o(5). Let j be ((-12)/h)/((-28)/(-6)). Suppose 0 + 0*w**2 - j*w + 2/7*w**3 = 0. What is w?
-1, 0, 1
Let x(s) = s**3 + 15*s**2 + 75*s + 123. Let g(w) = -2*w**3 - 30*w**2 - 150*w - 245. Let l(k) = -2*g(k) - 5*x(k). Let l(v) = 0. Calculate v.
-5
Suppose -g - 2*z + 2 = -3*z, 3*g = 5*z + 6. Let v(d) be the second derivative of -1/20*d**5 + 1/6*d**4 - g*d + 0 - d**2 + 1/6*d**3. Factor v(b).
-(b - 2)*(b - 1)*(b + 1)
Let f = -7 + 14. Solve 9*v - 12*v**3 - 6*v**4 + 12*v**2 - 6 + 9*v**5 + v**3 - f*v**3 = 0.
-1, 2/3, 1
Let i(p) be the third derivative of -p**8/3360 + p**6/120 - p**5/30 + p**4/12 - 2*p**2. Let q(h) be the second derivative of i(h). Factor q(a).
-2*(a - 1)**2*(a + 2)
Suppose 5*g - 11 = 9. Suppose -g = -5*t + 6. Solve 2 - 5 + 1 - p**t - 3*p = 0 for p.
-2, -1
Let w(a) be the second derivative of -a**4/96 + a**3/48 + 2*a. Factor w(j).
-j*(j - 1)/8
Let x = 23/72 + -5/18. Let q(n) be the third derivative of 0 + 0*n + 2*n**2 + 0*n**3 + 1/30*n**5 + x*n**6 + 0*n**4. Factor q(y).
y**2*(5*y + 2)
Suppose -i - u = -6*u - 4, -3*u + 12 = -3*i. Let d be (i/(-10))/((-3)/(-15)). What is j in -3*j**4 - 4*j**4 + 2*j**4 - 2*j + 4*j**4 + d*j**2 = 0?
-2, 0, 1
Let p be -4 - 9/((-18)/8). Suppose -5/4*w**2 + w**3 + 1/4*w + p = 0. Calculate w.
0, 1/4, 1
Suppose -6 = 8*m - 10*m - 2*k, 2*k = 5*m - 15. Let 3/4*w**2 + 3/4*w**m - 3/4*w - 3/4 = 0. What is w?
-1, 1
Let k(y) be the first derivative of -3*y**5/35 - 3*y**4/28 + 10. Find i, given that k(i) = 0.
-1, 0
Let p(w) = 6*w - 5 + w**5 - 4*w**2 - 2*w**2 + w**2 + 0*w**5 - 2*w**3. Let i(a) = -a**2 + a - 1. Let b(h) = -10*i(h) + 2*p(h). Factor b(v).
2*v*(v - 1)**2*(v + 1)**2
Let o(w) = 3*w - 9. Let z(h) = -h. Let u(n) = -o(n) - 4*z(n). Let s be u(-6). Factor -3*q**s - 12*q + 2*q**3 + 0*q + 8 + 6*q**2.
-(q - 2)**3
Let c be 3 + 1*0/(-3). Let q = -5 - -7. What is p in -p**c + 0*p**2 - 2*p**2 + 0*p**q = 0?
-2, 0
Let y = 1 + -4. Let h(a) = a - 1. Let r(d) = -6*d**4 - 14*d**3 - 6*d**2 + 9*d + 1. Let u = 31 - 30. Let l(m) = u*r(m) + y*h(m). Factor l(t).
-2*(t + 1)**3*(3*t - 2)
Let u(y) be the second derivative of -y**7/210 - y**6/150 + 3*y**5/100 + y**4/60 - y**3/15 - 43*y. Solve u(r) = 0 for r.
-2, -1, 0, 1
Let v(o) be the second derivative of o**5/130 - o**4/78 - 11*o. Factor v(j).
2*j**2*(j - 1)/13
Let i = 164 - 3443/21. Let f(k) be the third derivative of 1/70*k**5 + 1/420*k**6 + 1/28*k**4 + 0*k + i*k**3 - 3*k**2 + 0. Find z such that f(z) = 0.
-1
Let p(v) be the third derivative of -v**6/30 + 7*v**5/15 - 5*v**4/2 + 6*v**3 + 6*v**2. What is t in p(t) = 0?
1, 3
Suppose 4*g = 3 + 5. Let p(l) be the second derivative of 1/15*l**5 + 0*l**g + 1/15*l**6 - 1/6*l**4 + 0 - 2/9*l**3 - l. Solve p(c) = 0 for c.
-1, -2/3, 0, 1
Let l = 20 - 17. Determine r, given that -r**4 - r**2 - 10*r - 11*r**2 - 24 + 21 - 6*r**l = 0.
-3, -1
Factor 0*r**2 - 8*r**4 + 0*r**4 + 0*r**2 + 4*r**5 - 4*r + 8*r**2.
4*r*(r - 1)**3*(r + 1)
Let s(f) be the second derivative of -f**7/1050 - f**6/200 + f**4/30 - f**2/2 + 9*f. Let o(c) be the first derivative of s(c). Suppose o(g) = 0. Calculate g.
-2, 0, 1
Factor -3/2*b + 1/2*b**2 + 1.
(b - 2)*(b - 1)/2
Solve -19 - 2*f - 4*f - 3*f**2 + 16 = 0 for f.
-1
Let d(y) be the third derivative of y**8/10080 - y**7/3360 - y**6/1440 + y**5/60 + 3*y**2. Let f(a) be the third derivative of d(a). Factor f(r).
(r - 1)*(4*r + 1)/2
Let z(n) be the second d