2*t**3 - 2*t**3 - 492*t + 248 + 112.
-4*(t - 15)*(t - 3)*(t - 2)
Let v(g) = -g**2 + 11*g - 16. Let q be v(7). Suppose -3*u**4 - 8*u**2 + 24*u**3 - q + 19*u**2 + 16*u**2 - 12*u**4 - 24*u = 0. What is u?
-1, -2/5, 1, 2
Suppose 43 = f - q + 6*q, 3*f - q = 97. Factor 8*m**3 - 21*m + 2*m**5 + f*m - 22*m + 4 + 4*m**2 - 8*m**4.
2*(m - 2)*(m - 1)**3*(m + 1)
Let k(u) = 68*u + 1. Let f be k(1). Suppose -4*g + g + 72 = 0. Determine l so that 3*l**2 - 33 + g*l + f + l**2 = 0.
-3
Let i(z) = -z + 7. Let q be i(-14). Suppose -q*y + 20*y = -3. Find v such that -8 - 5*v**3 + 3*v + 3*v + 4 + 3*v**y = 0.
-2, 1
Let q(b) be the third derivative of b**7/210 + b**6/40 + b**5/30 + 158*b**2. Suppose q(k) = 0. Calculate k.
-2, -1, 0
Factor 0 + 7*z**2 - 3 + 220*z - 218*z - 6*z**2.
(z - 1)*(z + 3)
Let n(q) be the first derivative of 4*q**4 - 31 - 2/3*q**6 + 0*q + 0*q**2 - 8/5*q**5 + 32/3*q**3. Factor n(f).
-4*f**2*(f - 2)*(f + 2)**2
Let j be 40/(-25)*60/(-8). Let u be ((-18)/8)/(j/(-8)). Factor -3/4*a - u + 9/4*a**2.
3*(a - 1)*(3*a + 2)/4
Let w be 17/(-135) + (-37)/(-185). Let d(z) be the second derivative of -w*z**3 + 1/3*z**2 + 0 + 10*z - 1/54*z**4. Factor d(m).
-2*(m - 1)*(m + 3)/9
Let c(r) be the first derivative of 38/5*r**5 + 8/5*r - 32/5*r**2 - 139/10*r**4 + 9 + 194/15*r**3 - 5/3*r**6. Factor c(j).
-2*(j - 1)**3*(5*j - 2)**2/5
Let c be (4/6)/((-1218)/(-261)). Factor -16/7*d**3 + 16/7 - 8/7*d**2 + 16/7*d - d**4 - c*d**5.
-(d - 1)*(d + 2)**4/7
Let a(x) = -x + 27. Let i be a(27). Let v be i - 2*(-3)/(1 + 2). Factor 3/2*m + 0 + 15/4*m**4 + 27/4*m**3 + 21/4*m**v + 3/4*m**5.
3*m*(m + 1)**3*(m + 2)/4
Let j be 21/28*(-6 - -1 - -1). Let o be ((24/(-14))/(-6))/(j/(-7)). Determine u so that -2/9*u**2 - o*u - 4/9 = 0.
-2, -1
Suppose 14*q - 2*q - 36 = 0. Suppose -q*k = 5*m - 20, 5*m - 20 = 3*k - 0*m. Factor w**2 - 1/2*w**3 - 1/2*w + k.
-w*(w - 1)**2/2
Let f(u) be the second derivative of -u**6/420 + u**4/28 - 2*u**3/21 - 13*u**2/2 + 2*u. Let o(z) be the first derivative of f(z). What is s in o(s) = 0?
-2, 1
Let v(q) = q**3 - q + 2. Let x(i) = -i**3 + 6*i**2 + 11*i. Let w(h) = 2*v(h) + x(h). Solve w(n) = 0 for n.
-4, -1
Factor -5/3*a**3 + 5/3*a + 1/3*a**2 - 1/3*a**4 + 0.
-a*(a - 1)*(a + 1)*(a + 5)/3
Suppose 0 = c + 5, -2*v = v - 5*c - 37. Suppose 3*s + 6 = v*s. Factor -20*j**4 + 0*j**5 + 8*j**4 + 3*j**3 + s*j**2 - 9*j**5.
-3*j**2*(j + 1)**2*(3*j - 2)
Suppose 10*b - 5*b + 25 = 0, s - 102 = 4*b. Let i = s + -82. Find f, given that -6/5*f**4 + i*f - 3/5*f**5 + 3/5*f**3 + 0 + 6/5*f**2 = 0.
-2, -1, 0, 1
Let b(a) be the third derivative of 7/450*a**5 + 0 + 0*a - 1/12*a**4 + 1/5*a**3 - 1/900*a**6 + 10*a**2. Factor b(v).
-2*(v - 3)**2*(v - 1)/15
Let r(w) be the second derivative of w**4/28 + w**3/7 + 39*w. Factor r(i).
3*i*(i + 2)/7
Let k = 44 + -133/3. Let g = 0 - k. Determine r so that 5/3*r**2 + g*r**5 - 1/3*r**4 - 2/3*r - r**3 + 0 = 0.
-2, 0, 1
Let n(h) = 2*h**2 - 6*h + 3. Let m be n(3). Suppose -58 - 140*r - 3 - 4*r**3 - 39 + 0*r**m - 44*r**2 = 0. Calculate r.
-5, -1
Factor 53*b**2 + b**2 - 315*b + 600 - 3*b**3 + 9*b**2 + 5*b**2 - 14*b**2.
-3*(b - 8)*(b - 5)**2
Let z(p) = p**5 + 2*p**3 - 1. Let n(v) = -4*v**5 - 7*v**4 - 5*v**3 + 7*v**2 - 6*v + 5. Let x(m) = 2*n(m) + 10*z(m). Solve x(c) = 0 for c.
-1, 0, 1, 6
Let i(c) = -c**2 - 2*c - 15. Let k be i(-5). Let w = -26 - k. Factor 13*m**w - 8*m - 27*m**4 - 6*m**2 + 12*m**4 + 8 + 8*m**3.
-2*(m - 2)**2*(m - 1)*(m + 1)
Let n(q) be the second derivative of 11*q - 5/6*q**3 + 0*q**2 + 0 - 5/12*q**4. Factor n(i).
-5*i*(i + 1)
Let h(t) = 3 + 1 - 3 + t**4 - t**3. Let f(d) = 9*d**4 - 8*d**3 - 2*d**2 + 9. Let x(m) = -3*f(m) + 24*h(m). Determine j so that x(j) = 0.
-1, 1
Suppose -865*s - 126 = -874*s. Let f be ((-4 - -2) + -8)*-1. Factor -f*v**3 + s*v**2 - 22/5*v + 2/5.
-2*(v - 1)*(5*v - 1)**2/5
Let v = 266 - 794/3. Factor 1/3*f**2 + v*f + 4/3.
(f + 2)**2/3
Suppose 0 = 3*j - 15 - 9. Suppose 3 + 2 = 5*d, 2*w = -4*d + j. Let -13*y**2 + w*y**2 + 10*y**2 = 0. Calculate y.
0
Let -348/23*l**3 - 20/23*l**4 + 12/23 + 440/23*l**2 + 50/23*l**5 - 134/23*l = 0. Calculate l.
-3, 1/5, 1, 2
Let q(d) be the first derivative of 6*d + 1/3*d**3 - 2*d**2 + 1/6*d**4 + 7. Let o(s) be the first derivative of q(s). Solve o(a) = 0.
-2, 1
Let k(t) be the second derivative of 1/6*t**3 - 1/8*t**5 + 27*t - 1/24*t**4 + 0*t**2 + 1/60*t**6 + 0 + 1/28*t**7. What is h in k(h) = 0?
-1, 0, 2/3, 1
Suppose -2*x = -8*x + 12. Let -4*z**3 - 7*z**2 + 6*z**3 - x*z**2 + 3*z**2 = 0. Calculate z.
0, 3
Find j, given that -15*j - 1897*j**2 - 4 - 6 + 1892*j**2 = 0.
-2, -1
Let p be 3 + (5 + -4)*(-28)/20. Factor -16/5*t**2 - 16/5*t - 4/5*t**5 + 12/5*t**3 + p*t**4 + 0.
-4*t*(t - 2)**2*(t + 1)**2/5
Let t(f) = 5*f**3 + 40*f**2 + 112*f + 80. Let l(n) = -30*n**3 - 240*n**2 - 675*n - 480. Let w(g) = 4*l(g) + 25*t(g). Factor w(v).
5*(v + 2)**2*(v + 4)
Let b(t) = t**3 - 3*t + 1. Let l be b(2). Solve -39*d**4 + 3*d**3 + 2*d**2 + d**l + 41*d**4 = 0 for d.
-1, 0
Let t(m) = 10*m**3 + 72*m**2 - 208*m + 132. Let b(k) = -28*k**3 - 216*k**2 + 623*k - 396. Let w(n) = -6*b(n) - 17*t(n). Factor w(l).
-2*(l - 33)*(l - 2)*(l - 1)
Suppose 0 = -16*l + 18*l - 4. Suppose 0*x - 8*x = l*x. Let -1/4*w**2 - 1/4*w**3 + 0*w + x = 0. Calculate w.
-1, 0
Factor -16/5*z**3 - 8/5*z**2 - 2*z**4 - 2/5*z**5 + 0*z + 0.
-2*z**2*(z + 1)*(z + 2)**2/5
Let a(j) be the third derivative of j**8/84 - 16*j**7/105 - 78*j**2. Determine b so that a(b) = 0.
0, 8
Let a(b) be the first derivative of 0*b**4 - 1/4*b**3 + 0*b + 1/4*b**2 - 14 + 1/20*b**5. Factor a(k).
k*(k - 1)**2*(k + 2)/4
Let q = 60 + -60. Factor 9*z**2 + 9 - 24*z + 6*z**3 + 0*z**3 + q*z**3.
3*(z - 1)*(z + 3)*(2*z - 1)
Let -171/2*n - 27 + 9/2*n**3 - 12*n**2 = 0. Calculate n.
-3, -1/3, 6
Let h = -2326 + 2326. Let p be (-39)/(-9) + (-4)/(-6). Suppose 0 - 1/3*o**2 + o**p + 1/3*o**4 - o**3 + h*o = 0. Calculate o.
-1, -1/3, 0, 1
Let w(m) be the second derivative of m**7/3360 - m**6/240 - m**5/32 + 17*m**4/12 - 22*m. Let j(z) be the third derivative of w(z). Factor j(a).
3*(a - 5)*(a + 1)/4
Let d(g) be the second derivative of g**5/210 + g**4/84 - 6*g**2 + 8*g. Let z(m) be the first derivative of d(m). Find t, given that z(t) = 0.
-1, 0
Let i be 22/10 + (16 - (14 - 17)*-5). Factor 24/5*d**4 - 1/5*d - 6/5*d**2 - i*d**5 - 1/5*d**3 + 0.
-d*(d - 1)**2*(4*d + 1)**2/5
Let f(c) = -c**3 - 23*c**2 - c - 27. Let r be f(-23). Let p be (-16)/(-20)*(6/r + 2). Factor 9/5*i**2 - 7/5*i**3 - p*i + 0.
-i*(i - 1)*(7*i - 2)/5
Suppose 155*p = 56*p. Let o be (-10)/(-4) + -5 + 3. Factor p + o*x + 1/4*x**2.
x*(x + 2)/4
Let u be (-8 - 140/(-21)) + (-53)/(-6). Factor 3/2 - u*g - 3/2*g**2 + 15/2*g**3.
3*(g - 1)*(g + 1)*(5*g - 1)/2
Let x(n) be the third derivative of n**7/1575 + n**6/180 + 7*n**5/450 + n**4/60 - 92*n**2. Factor x(i).
2*i*(i + 1)**2*(i + 3)/15
Let i = 11 + -9. Suppose 0 = -9*c + 18*c - 54. Suppose -c + 24*b + 57/2*b**3 - 21/2*b**4 + 3/2*b**5 - 75/2*b**i = 0. Calculate b.
1, 2
Find a, given that -13/5*a**4 + 0 - 1/5*a**5 - 15*a**2 + 0*a - 11*a**3 = 0.
-5, -3, 0
Let 78*i**2 - 16*i**2 - 60*i + 26*i**2 - 5*i**3 - 23*i**2 = 0. What is i?
0, 1, 12
Let p(x) be the first derivative of x**4/4 + 5*x**3/3 - 3*x**2 + 2*x - 3. Let l be p(-6). Factor -1/2*f**3 - 2 + 1/2*f**l + 2*f.
-(f - 2)*(f - 1)*(f + 2)/2
Suppose -14197*s**2 + 23*s + 14201*s**2 - 40 + 13*s = 0. What is s?
-10, 1
Let n = -5 + 3. Let v = 4 + n. Let -w**2 - w**v - w**2 + 3*w + 6 = 0. What is w?
-1, 2
Let r(g) be the second derivative of g**5/15 - 2*g**4 + 46*g**3/3 - 104*g**2/3 - 40*g - 5. Suppose r(s) = 0. What is s?
1, 4, 13
Suppose 2*k - 74 = 2*d + 2*d, -10 = 2*d. Solve -g**2 - k*g - 22*g + 58*g - 2*g**2 = 0.
0, 3
Let r(q) be the second derivative of -2*q**7/21 - 11*q**6/105 + 15*q**5/14 - 55*q**4/42 - q**3/21 + 6*q**2/7 + 26*q. Let r(s) = 0. What is s?
-3, -2/7, 1/2, 1
Let h(b) = -7*b + 24. Let x be h(3). Factor -1/5*s**2 - 1/5*s**x + 1/5*s + 1/5.
-(s - 1)*(s + 1)**2/5
Let c(r) be the third derivative of -r**5/3 + 5*r**4/24 + 35*r**3/3 + 138*r**2. Suppose c(s) = 0. What is s?
-7/4, 2
Let h(b) = 2*b**2 - b + 2. Let j be h(1). What is r in -56*r + 23*r**4 - 112*r**j + 130*r**2 - 12*r**4 + 5 + 19*r**4 + 3 = 0?
1/3, 2/5, 1, 2
Let 0*j - 44/5*j**4 + 0 - 52/5*j**3 - 8/5*j**2 = 0. Calculate j.
-1, -2/11, 0
Let a(j) = -4*j. Suppose -2*r + 1 - 9 = 0. L