0. Factor -23*f**2 - 2*f**2 + 0 - u - 60*f - 12.
-5*(f + 2)*(5*f + 2)
Suppose c - d = 6 + 5, 2*c + 4*d = 4. Suppose c = g + 3*g. Solve g*n - 3*n**2 - 5*n + 6*n = 0.
0, 1
Let t(d) be the second derivative of d**6/60 - 97*d**5/40 + 367*d**4/4 + 1825*d**3/3 + 1250*d**2 - 14*d. Factor t(c).
(c - 50)**2*(c + 1)*(c + 2)/2
Let f(h) be the first derivative of 2*h**3/9 - h**2/3 + h/6 + 52. Factor f(k).
(2*k - 1)**2/6
Let l = -12370/3 - -4127. Factor 2/3 - l*v**2 + 5/3*v + 4/3*v**3.
(v - 2)*(v - 1)*(4*v + 1)/3
Let w(o) = 20*o**5 - 12*o**4 + 24*o**3 + 24*o**2 - 60*o + 4. Let r(t) = -t**5 - t**4 + t**3 - t**2 + t + 1. Let n(l) = 16*r(l) + w(l). Factor n(a).
4*(a - 5)*(a - 1)**3*(a + 1)
Suppose 4*d - 7 = 1. Suppose 4*o - 46*o**3 - 14*o + 56*o**3 + 15 + 5*o**4 - 20*o**d = 0. Calculate o.
-3, -1, 1
Let r be -6 - (1101/(-12))/1. Let m = 86 - r. Factor m*x**3 + 0*x**2 - 1/2 - 3/4*x.
(x - 2)*(x + 1)**2/4
Let g(w) be the first derivative of 0*w - 1/11*w**5 - 1/66*w**6 + 12 - 7/44*w**4 + 0*w**2 - 1/11*w**3. Factor g(o).
-o**2*(o + 1)**2*(o + 3)/11
Factor 2/5*i**4 + 109512/5*i - 118638/5 + 232/5*i**3 + 8892/5*i**2.
2*(i - 1)*(i + 39)**3/5
Let k(t) be the third derivative of 0*t**3 - 1/5*t**5 + 0 + 2/105*t**7 + 0*t + 1/3*t**4 + 0*t**6 + 8*t**2. Find i, given that k(i) = 0.
-2, 0, 1
Find x, given that 61/2*x**2 + 6 - 8*x**4 + 26*x + 3/2*x**3 - 2*x**5 = 0.
-3, -2, -1/2, 2
Suppose -3*o = i - 4, i = -5*o - 2 + 12. Let u(z) be the second derivative of -1/10*z**5 - 7/6*z**o - 7/12*z**4 - z**2 - 6*z + 0. Factor u(l).
-(l + 1)*(l + 2)*(2*l + 1)
Let n(u) be the second derivative of -u**4/8 + 62*u**3 - 11532*u**2 + 35*u - 5. Let n(j) = 0. What is j?
124
Determine z so that 2736/7*z + 150/7*z**2 + 2/7*z**3 - 2888/7 = 0.
-38, 1
Let j(h) = 2*h + 6. Let d be j(-2). Let m(v) be the first derivative of 6*v + 9/2*v**d + v**3 - 3. Find t, given that m(t) = 0.
-2, -1
Let y(s) = s - 11. Let g be y(13). Suppose -3*j - 15 = 0, -3*m + 6*m + g*j = -7. Factor -5*c**2 - m + c + 4*c**3 + 1.
c*(c - 1)*(4*c - 1)
Solve 10*i - 1/5*i**2 - 49/5 = 0 for i.
1, 49
Let x(z) be the second derivative of z**7/189 + 8*z**6/135 + 11*z**5/45 + 4*z**4/9 + z**3/3 - 154*z. Solve x(k) = 0 for k.
-3, -1, 0
Let z(y) be the first derivative of 3/8*y**4 + 8 - 3/4*y**2 + 1/6*y**3 + 1/10*y**5 - y. Let z(q) = 0. Calculate q.
-2, -1, 1
Suppose -333*i - 283*i + 531*i - 5*i**2 + 90 = 0. Calculate i.
-18, 1
Let g(w) be the second derivative of w**7/70 + w**6/40 - w**5/20 - w**4/8 + 7*w**2 - 22*w. Let f(b) be the first derivative of g(b). Factor f(t).
3*t*(t - 1)*(t + 1)**2
Let m(a) be the first derivative of -a**5/5 + a**4/2 + 4*a**3/3 - a**2 - 3*a + 77. Factor m(h).
-(h - 3)*(h - 1)*(h + 1)**2
Suppose 0 = -4*s - 5*k - 125, 5*s + k = -73 - 78. Let p be (-42)/12*(s/21)/2. Factor 5/2*u - p*u**3 + 1 - u**2.
-(u - 1)*(u + 1)*(5*u + 2)/2
Let p(o) be the second derivative of -o**6/30 + 87*o**5/100 - 36*o**4/5 + 224*o**3/15 + 269*o. Find k, given that p(k) = 0.
0, 7/5, 8
Let f be -2 + (192/(-28))/((-44)/9954). Let p = -1548 + f. Factor p*b + 4/11 + 2/11*b**4 + 18/11*b**2 + 10/11*b**3.
2*(b + 1)**3*(b + 2)/11
Let y = 7 + 29. Suppose y = 3*q + 3. Solve -q*a**2 + 2*a**3 + 5*a**3 - a**2 - 3*a**3 = 0 for a.
0, 3
Determine n so that 4*n**4 + 80/7*n**2 - 214/7*n**3 - 8/7*n + 330/7*n**5 + 0 = 0.
-1, 0, 2/11, 1/3, 2/5
Let g be (-22)/((1 + 1)*-1). Let t(u) = 15*u**2 + 35*u - u**2 + 4 + 33. Let c(f) = -5*f**2 - 12*f - 12. Let k(s) = g*c(s) + 4*t(s). Let k(h) = 0. Calculate h.
-4
Let g(a) be the first derivative of 5/3*a**3 - 10*a**2 - 20*a - 11 + 5/4*a**4. What is m in g(m) = 0?
-2, -1, 2
Let v(j) be the second derivative of 1/2*j**3 + 0 + 3*j + 0*j**2 + 0*j**4 - 1/540*j**6 + 1/180*j**5. Let l(h) be the second derivative of v(h). Factor l(a).
-2*a*(a - 1)/3
Let s(g) = -g**3 + 39*g**2 - 370*g - 390. Let b(r) = 2*r - 2. Let l(k) = 5*b(k) + s(k). Factor l(c).
-(c - 20)**2*(c + 1)
Suppose -t - 13 = -16. Let j(n) be the first derivative of 1 + 0*n + 2/15*n**5 - 2/9*n**t + 1/3*n**2 - 1/6*n**4. Factor j(s).
2*s*(s - 1)**2*(s + 1)/3
Suppose -3*v - 4*z - 4 = 0, 5 - 3 = -2*v - 2*z. Let x be 0/(-1 - 0/(-1) - v). Factor 2/9*g**3 - 2/9*g + x + 0*g**2.
2*g*(g - 1)*(g + 1)/9
Let p be (-1)/((3/(-72))/1). Let s be (-36)/p*4/(-3). Suppose -12*l**2 + 7*l**2 - 8 - 5*l**s - 24*l = 0. What is l?
-2, -2/5
Factor 0 + 1/2*l**4 + 1/4*l + 5/4*l**3 + l**2.
l*(l + 1)**2*(2*l + 1)/4
Let y(j) = -19*j - 36. Let t be y(-2). Let n(i) be the first derivative of i**4 - t*i**2 - 2*i + 4 + 0*i**3 + 2/5*i**5. Determine g, given that n(g) = 0.
-1, 1
Factor 6*g**3 - 5*g + 6*g**2 - g**2 + 4*g**4 + 3*g**2 - 12*g**2 - g**5.
-g*(g - 5)*(g - 1)*(g + 1)**2
Let n be ((-51)/34)/((-3)/8). Factor 11*m**n - 45*m - 80*m**2 - 32*m**4 - 20*m**3 - 50*m**3 - 5*m**5 - 10 - 9*m**4.
-5*(m + 1)**4*(m + 2)
Let o(t) be the first derivative of 3 - 3/2*t**2 - 3/4*t**4 + 0*t + 2*t**3. Let o(h) = 0. Calculate h.
0, 1
Let 0*b + 29*b + 21*b**2 - 15*b**3 - 35*b = 0. Calculate b.
0, 2/5, 1
Let u(h) be the first derivative of -h**3/24 - 9*h**2/16 - 9*h/4 + 82. Suppose u(n) = 0. Calculate n.
-6, -3
Let h(p) be the second derivative of p**5/4 - 95*p**4/12 + 280*p**3/3 - 480*p**2 - 86*p - 1. Determine u so that h(u) = 0.
3, 8
Let f(z) = 8*z - 6. Let s be f(3). Determine i so that -12*i**2 + 9*i - s*i**5 + 6 + 17*i**5 + 10*i**5 - 18*i**3 + 6*i**4 = 0.
-1, -2/3, 1
Let i(s) be the third derivative of s**8/2240 - s**7/1260 - s**6/720 - s**4 + 8*s**2. Let t(l) be the second derivative of i(l). Find g, given that t(g) = 0.
-1/3, 0, 1
Let x(p) be the second derivative of 6/5*p**5 + 1/4*p**3 + 0 + 7*p + 0*p**2 - p**4. Factor x(s).
3*s*(4*s - 1)**2/2
Let z(c) be the third derivative of 1/360*c**6 - 1/12*c**4 - 1/120*c**5 + 2/3*c**3 + 0 + 3*c**2 + 0*c. Let n(h) be the first derivative of z(h). Factor n(r).
(r - 2)*(r + 1)
Factor -1/4*j**3 + 3/4*j**2 - 1 + 0*j.
-(j - 2)**2*(j + 1)/4
Factor 126*j + 0*j**3 - 156*j + 53*j**2 - 5*j**3 - 80 - 8*j**2.
-5*(j - 8)*(j - 2)*(j + 1)
Let x(j) be the second derivative of -j**4/36 + 10*j**3/9 - 17*j**2/2 + 306*j. Find q, given that x(q) = 0.
3, 17
Let d be (6 - (((-2600)/15)/10 - -5)) + 3. Factor -d - 1/3*u**2 + 16/3*u.
-(u - 8)**2/3
Let f(n) be the third derivative of n**6/160 - 3*n**5/80 - 13*n**4/32 + 15*n**3/8 + 94*n**2. Suppose f(t) = 0. Calculate t.
-3, 1, 5
Let u(v) be the second derivative of 32*v**7/21 - 16*v**6/5 + 9*v**5/5 - v**4/3 + 387*v. Factor u(t).
4*t**2*(t - 1)*(4*t - 1)**2
Suppose -104 = 6*h - 19*h. Let p(o) be the second derivative of h*o + 5*o**3 + 3/2*o**2 + 0 + 25/4*o**4. Determine x so that p(x) = 0.
-1/5
Let n(r) be the second derivative of r**5/15 + 11*r**4/36 - 2*r**3/9 + 21*r**2/2 - 8*r. Let c(q) be the first derivative of n(q). What is x in c(x) = 0?
-2, 1/6
Let q be (188/(-46) - (-11)/((-1771)/(-14))) + 6. Factor 5/2*m - 5/2*m**q + 5.
-5*(m - 2)*(m + 1)/2
Let m(a) = -4*a**3 - 138*a**2 + 1914*a + 2048. Let c(n) = n**3 + 2*n**2 + n. Let s(v) = 6*c(v) + m(v). Find l such that s(l) = 0.
-1, 32
Find h, given that 64/11 - 102/11*h**3 + 112/11*h**2 + 24*h - 14/11*h**4 = 0.
-8, -1, -2/7, 2
Let r(c) = -c**5 + c**3. Let f(a) = 8*a**5 - 6*a**4 - 2*a**3. Let y(j) = f(j) + 6*r(j). Factor y(s).
2*s**3*(s - 2)*(s - 1)
Let s(n) = 8*n**4 + 45*n**3 + 58*n**2 + 5. Let f(m) = 12*m**4 + 67*m**3 + 86*m**2 + 7. Let g(o) = 5*f(o) - 7*s(o). Factor g(w).
4*w**2*(w + 2)*(w + 3)
Factor -10*w - 60*w**4 - 22*w**3 - 10*w + 24*w**2 + 38*w + 50*w**5 - 10*w.
2*w*(w - 1)**2*(5*w + 2)**2
Factor 876/5*a + 3/5*a**2 + 63948/5.
3*(a + 146)**2/5
Let c be (372/(-18) - -20)*5*(-6)/8. Suppose 0 + p**4 - 3/2*p + c*p**3 - 2*p**2 = 0. What is p?
-3, -1/2, 0, 1
Let c be (-5)/15 + 4/3. Let s = c + 28. What is w in s*w**2 - 4*w**3 - 13*w**2 + 2*w**4 + 2*w**5 - 16*w**2 = 0?
-2, 0, 1
Let t(y) be the second derivative of -3*y**6 - 51*y**5/20 + 8*y**4 + 17*y**3/2 - 3*y**2 - 3*y + 15. Solve t(b) = 0.
-1, -2/3, 1/10, 1
Let o(y) be the third derivative of -8*y**2 + 0*y + 4/3*y**3 + 0*y**4 + 0 - 1/30*y**5. Suppose o(j) = 0. Calculate j.
-2, 2
Factor -1/3*c**2 + 0 - 8/3*c.
-c*(c + 8)/3
Suppose 0 = -5*l - 2*t - 0 + 33, 0 = 3*l + 5*t - 16. Solve 16*z**2 + 32*z**3 + l*z**5 - 2 - z + 15*z**4 + 2*z**3 + 11*z**4 = 0 for z.
-1, 2/7
Let c = 107 - 95. Let j(a) = 3*a - 36. Let w be j(c). Find f such that 0*f**2 + 0*f**3 