- 26106*c.
-5*(c + 5)**3*(7*c + 2)**2
Suppose 21 = 3*x + 6, -5*d = -3*x - 5. Factor -4/3*h**3 + 0*h**2 + 0 + 0*h + 2/3*h**d.
2*h**3*(h - 2)/3
Let o(i) = -6*i**3 - 4*i**2 + 4*i - 4. Let u(r) = -r**3 - r**2 + r - 1. Let g(v) = -o(v) + 4*u(v). Factor g(z).
2*z**3
Let y(d) be the second derivative of 0 + 1/18*d**3 - 1/60*d**5 + 1/3*d**2 - 1/18*d**4 - 2*d. Factor y(s).
-(s - 1)*(s + 1)*(s + 2)/3
Let a be 3 - (772/252 - 6/21). Factor 2/9*v**2 + 0*v - a*v**4 - 2/9*v**5 + 2/9*v**3 + 0.
-2*v**2*(v - 1)*(v + 1)**2/9
Let q = -94 - -98. Let 6/5 - 9/5*d + 39/5*d**3 + 6/5*d**5 - 3*d**2 - 27/5*d**q = 0. What is d?
-1/2, 1, 2
Suppose 0*j - 5*j = 0. Suppose 3*z + 3*n = j, z + 8 = -3*n + 4. Factor 1/3 + 1/3*w**z - 2/3*w.
(w - 1)**2/3
Suppose 3/5*u**4 - 3/5*u**5 + 0*u**3 + 0*u**2 + 0*u + 0 = 0. Calculate u.
0, 1
Let r(d) be the second derivative of -7*d**4/30 + 47*d**3/15 + 14*d**2/5 + 31*d. What is z in r(z) = 0?
-2/7, 7
Let r(d) = -4*d - 162. Let c be r(-41). Factor -z - 1/2 - 1/2*z**c.
-(z + 1)**2/2
Let h(m) be the first derivative of -1 - 2/5*m**2 - 2/15*m**3 + 0*m. Factor h(x).
-2*x*(x + 2)/5
Let l = -26 + 26. Let u(p) be the third derivative of -49/50*p**5 - 4/15*p**3 - 7/10*p**4 + p**2 + l + 0*p - 343/600*p**6. Let u(v) = 0. Calculate v.
-2/7
Let k(p) be the third derivative of p**5/60 + p**4/12 + p**3/6 + 8*p**2. Suppose k(l) = 0. What is l?
-1
Let g(q) be the second derivative of -q**5/90 + q**3/9 + 2*q**2/9 + 43*q. Factor g(a).
-2*(a - 2)*(a + 1)**2/9
Let k = 41/66 - 4/33. Let f(w) be the first derivative of w**2 + 3 - w + 1/5*w**5 - k*w**4 + 0*w**3. Factor f(r).
(r - 1)**3*(r + 1)
Let c(s) be the first derivative of -25*s**6/6 + 11*s**5 - 35*s**4/4 + 5*s**3/3 + 41. Factor c(p).
-5*p**2*(p - 1)**2*(5*p - 1)
Let t be 2/(-3) - 84/(-18). Let p(d) be the third derivative of -1/120*d**6 + 1/24*d**t - 2*d**2 + 0*d**5 + 0*d + 0*d**3 + 0. Factor p(s).
-s*(s - 1)*(s + 1)
Suppose k - 26 = -k. Suppose 4*v - 5*h - 3 - 4 = 0, k = 3*v + 4*h. Factor 0*y**2 - 6/7*y + 2/7*y**v + 4/7.
2*(y - 1)**2*(y + 2)/7
Factor 30*i**2 - 18*i - 7*i**4 - 14*i**3 - 2*i**4 - 10*i**4 + 21*i**4.
2*i*(i - 3)**2*(i - 1)
Let p(n) = -13*n. Let b be p(-1). Determine l, given that 7*l + 5*l - b - 4*l**2 + l**2 + 1 = 0.
2
Let t = -11 + 12. Suppose 4*k + 5 = -5*i, -4*i - 5 = -k - t. Factor -2/11*y**2 + k - 2/11*y**4 + 0*y + 4/11*y**3.
-2*y**2*(y - 1)**2/11
Determine h so that 2/3*h**2 + 2/3*h - 4/3 = 0.
-2, 1
Let t = -6523 + 32369/5. Let y = -49 - t. Find x such that -1/5*x**3 + 0 + 0*x + y*x**2 = 0.
0, 1
Suppose -3*t + 7*t = 0. Let d(l) be the first derivative of 3/5*l**5 - 3 + 3/2*l**2 + t*l - l**3 - 3/4*l**4. Factor d(o).
3*o*(o - 1)**2*(o + 1)
Let t(c) be the second derivative of 2*c + 1/30*c**4 + 0 + 1/15*c**3 + 0*c**2. Solve t(a) = 0 for a.
-1, 0
Let -2/9*o + 2/9*o**2 + 0 = 0. Calculate o.
0, 1
Solve -15*s**2 - 5*s**4 - 10*s + 4*s**3 - 19*s**3 + 5*s = 0 for s.
-1, 0
Let p(t) = t**3 - 28*t**2 + 51*t + 29. Let f be p(26). Solve -6/5*m**2 + 4/5*m - 2*m**f + 0 = 0.
-1, 0, 2/5
Let x = 156 - 14039/90. Let v(t) be the second derivative of 0 + 0*t**3 - t - 1/6*t**2 + 0*t**5 + 1/18*t**4 - x*t**6. Factor v(y).
-(y - 1)**2*(y + 1)**2/3
Let q(r) be the second derivative of 0 + 1/36*r**4 + 4*r - 1/6*r**2 + 0*r**3. Factor q(j).
(j - 1)*(j + 1)/3
Let o(j) = -j**2 - 7*j + 10. Let z be o(-8). Suppose -z*c + 6 = c. Find f such that 4*f**3 + 2/5*f**5 + c*f - 2/5 - 2*f**4 - 4*f**2 = 0.
1
Let j(t) = -t**5 - 5*t**4 - 10*t**3 - 8*t**2 - 2*t - 1. Let w(k) = -1 + 0 - k**2 + 10*k**3 - 11*k**3. Let a(f) = 2*j(f) - 2*w(f). Let a(n) = 0. What is n?
-2, -1, 0
Let l(q) = -15*q**4 - q**3 - q**2 + 7*q + 11. Suppose -105 = -4*a - 17. Let r(y) = 4*y**4 - 2*y - 3. Let j = -10 + 16. Let g(u) = a*r(u) + j*l(u). Factor g(n).
-2*n*(n + 1)**3
Let s(l) = -14*l**2 - l + 2*l**4 - 3*l**3 + 12*l**2 + 4*l**3. Let f(p) = -p**4 + p**2. Let w(k) = -5*f(k) - 2*s(k). Let w(d) = 0. Calculate d.
-1, 0, 1, 2
Let b(s) be the second derivative of -3*s**5/80 + 39*s**4/16 - 507*s**3/8 + 6591*s**2/8 + 6*s. Factor b(f).
-3*(f - 13)**3/4
Let z(a) = -9*a**2 + 5*a - 1. Let q(m) = -4*m**2 + 2*m. Suppose -4 = -6*f + 5*f. Suppose -f*r - 8 = 12. Let j(u) = r*q(u) + 2*z(u). Factor j(y).
2*(y - 1)*(y + 1)
Let a be 2*(-22)/(-8) - 4. Let u(m) be the second derivative of -1/3*m**4 + 2*m + 0 - m**2 + a*m**3. Let u(n) = 0. What is n?
1/4, 2
Let l(z) be the first derivative of 3*z**4/16 - z**3/6 - 3*z**2/8 + z/2 + 5. Factor l(g).
(g - 1)*(g + 1)*(3*g - 2)/4
Let v(h) be the first derivative of 1/6*h**6 + 0*h**5 + 0*h**3 + 2 + 0*h**2 + 0*h - 1/4*h**4. Find s such that v(s) = 0.
-1, 0, 1
Let b(s) be the first derivative of -s**7/315 - s**6/90 - s**2 + 3. Let n(q) be the second derivative of b(q). Find m, given that n(m) = 0.
-2, 0
What is r in 39*r**3 + 18*r**2 + 12*r**4 + 22*r**2 + 6*r**4 + 12*r + 3*r**5 - 4*r**2 = 0?
-2, -1, 0
Let q be -1 + 0 - 1 - -2. Let z = 92 - 90. Factor q + 2/3*i**z + 2/3*i.
2*i*(i + 1)/3
Let u(l) be the third derivative of 0*l**3 + 1/180*l**5 + 1/48*l**4 - 1/720*l**6 + 0 + 6*l**2 + 0*l. Factor u(q).
-q*(q - 3)*(q + 1)/6
Let h be (-38)/(-14) - (-4)/14. Find w, given that 0*w - w**2 + 0*w + h*w**2 - 2*w = 0.
0, 1
Let o(g) = -37*g - 183. Let p be o(-5). Find x, given that 1/2 + 1/2*x**p - x = 0.
1
Let b(z) be the third derivative of 0 - 4/525*z**7 - 1/60*z**4 - 1/50*z**6 + 0*z - 2/75*z**5 + 2*z**2 + 0*z**3 - 1/840*z**8. Factor b(q).
-2*q*(q + 1)**4/5
Let t(a) = -3*a + 6. Let r(v) = v - 1. Let m(i) = 4*r(i) + t(i). Let y be m(-2). Factor y*x + 2/7*x**4 - 2/7*x**3 + 0*x**2 + 0.
2*x**3*(x - 1)/7
Let i(o) be the first derivative of o**5/30 - o**4/6 - o**2/2 + 1. Let y(k) be the second derivative of i(k). Suppose y(u) = 0. What is u?
0, 2
Let i(g) = -9*g - 42. Let f be i(-5). Factor 0 - 4/7*z + 2/7*z**f + 2/7*z**2.
2*z*(z - 1)*(z + 2)/7
Let n be (-290)/(-14) - (-10)/35. Let a(d) = -6*d**2 - 66*d - 21. Let u(q) = q**2 + 13*q + 4. Let r(t) = n*u(t) + 4*a(t). What is p in r(p) = 0?
0, 3
Let l(t) = -35*t**3 - 5*t**2 - 75*t - 75. Let k(m) = -m**3 + m**2 - 1. Let y(i) = 30*k(i) - l(i). Find a, given that y(a) = 0.
-3, -1
Let r be 84/45 + 6/(-9). Factor 0*w + 8/5*w**5 - r*w**4 + 0 - 2/5*w**3 + 0*w**2.
2*w**3*(w - 1)*(4*w + 1)/5
Let l = -782 - -784. Factor 0 + v**4 + 1/6*v**5 + 13/6*v**3 + l*v**2 + 2/3*v.
v*(v + 1)**2*(v + 2)**2/6
Let o(l) be the third derivative of -2/3*l**3 + 7/30*l**5 + 0 - 1/20*l**6 + 1/4*l**4 - l**2 - 1/21*l**7 + 0*l. Determine j so that o(j) = 0.
-1, 2/5, 1
Let o = 7 - -31. Let h be (-6)/(-21) + o/14. Factor -2*x**2 + h*x**2 - 3*x**2 - 2 + 4*x.
-2*(x - 1)**2
Let r(k) be the second derivative of -3*k**5/100 - k**4/20 + k**3/10 + 3*k**2/10 + 2*k. Find p such that r(p) = 0.
-1, 1
Find w such that 16/15*w - 8/5*w**2 + 2/5*w**4 - 4/3*w**3 + 0 + 4/15*w**5 = 0.
-2, 0, 1/2, 2
Suppose 5*r = 2*s + 2*s - 37, 0 = -5*s - 3*r. Let -1/3*b + b**2 - b**s + 0 + 1/3*b**4 = 0. What is b?
0, 1
Let k = 226/45 - 24/5. Suppose d + 0 - 2 = 0. Factor -k*o + 2/9*o**d + 0.
2*o*(o - 1)/9
Let l be (1385/25)/(4/5). Let u = l + -68. Find r, given that -1/2*r - 1/4*r**3 + 0 - u*r**2 + 5/4*r**4 + 3/4*r**5 = 0.
-1, -2/3, 0, 1
Suppose -1/3*r**2 - 3 + 2*r = 0. Calculate r.
3
Let v(o) be the third derivative of -o**6/160 - o**5/80 + o**4/16 + o**2. Determine i, given that v(i) = 0.
-2, 0, 1
Solve 0*n**2 + 0 - 2/3*n**3 + 2/3*n = 0 for n.
-1, 0, 1
Suppose -3*u - 2*z = -260, 0 = -2*u + 7*u + 4*z - 432. Let 106*j**3 + 2*j**3 - u*j**2 - 36*j**4 + 36*j - 4*j - 4 - 12*j**3 = 0. Calculate j.
1/3, 1
Let y be 16/(-105) + 7/35. Let z(r) be the second derivative of 0*r**2 + 1/3*r**3 + 0 - 1/5*r**5 + 0*r**6 + y*r**7 + r + 0*r**4. Factor z(a).
2*a*(a - 1)**2*(a + 1)**2
Let r(m) = -2*m**3 + 13*m**2 + 2*m - 13. Let v(z) = z**3 - 12*z**2 - z + 12. Let f(i) = 2*r(i) + 3*v(i). Factor f(p).
-(p - 1)*(p + 1)*(p + 10)
Suppose 0*b - 3*b + 11 = o, -5*o + 1 = -3*b. Let -48/5*t**3 + 2/5 + 12/5*t + 32/5*t**4 + 2/5*t**o = 0. What is t?
-1/4, 1
Let b = -18 - -21. Let l = b - -2. Factor -20/3*p**4 + 0 + 8*p**3 + 2/3*p + 2*p**l - 4*p**2.
2*p*(p - 1)**3*(3*p - 1)/3
Let q(z) = z - 14. Let y be q(10). Let s be ((-24)/18)/(y/6). Factor 4/3*x**s - 2/3*x + 0 - 2/3*x**3.
-2*x*(x - 1)**2/3
Let a(l) be the third derivative of -l**6/2160 - l**5/360 - l**4/144 - 2*l**3/3 - 4*l**2. Let i(h) be the first deriva