 - 12/7*t.
-2*(t + 2)*(t + 4)/7
Let x(c) be the third derivative of 0 + 2/105*c**5 + 5/84*c**4 - 3*c**2 - 2/7*c**3 - 19*c. Suppose x(u) = 0. What is u?
-2, 3/4
Let m be ((-16)/(-6))/((-1052)/96 + 11). Find o, given that 8*o**3 - 184*o**2 + 46*o**3 + 6*o**3 + m*o = 0.
0, 2/5, 8/3
Suppose f + f - 2*v + 10 = 0, v = 5*f + 9. Let u(c) = -2*c + 1. Let q(l) = -2*l**2 + 12*l + 57. Let s(b) = f*q(b) + 5*u(b). Factor s(n).
2*(n - 13)*(n + 2)
Let l be -58 - (38 + (-523400)/450). Determine a so that l + 392/9*a + 4/9*a**2 = 0.
-49
Let q = 2531 - 29363/12. Let o = -250/3 + q. Factor 3/4 - 3/4*t**2 + o*t**3 - 3/4*t.
3*(t - 1)**2*(t + 1)/4
Let i = 548 - 1714/3. Let l = i - -24. Factor 4/3*f + 0 - 2/3*f**4 + l*f**2 - 4/3*f**3.
-2*f*(f - 1)*(f + 1)*(f + 2)/3
Suppose -2/5*z**4 + 62*z**2 - 176/5*z**3 + 16/5*z**5 - 164/5*z + 16/5 = 0. What is z?
-4, 1/8, 1, 2
Let n be 1840/(-23)*(-328)/30. Let u = n - 874. Solve 4/3*x**3 - 10/9*x**4 + u + 2/9*x**5 + 4/9*x**2 - 14/9*x = 0.
-1, 1, 3
Suppose 5*q - 3*l - 2*l + 40 = 0, 5*q = -2*l + 16. Let v(t) be the first derivative of q*t + 7 + 8/33*t**3 + 0*t**2 - 1/22*t**4. Factor v(d).
-2*d**2*(d - 4)/11
Let q(m) be the first derivative of -2*m**5/45 - 193*m**4/18 - 128*m**3/9 + 632. Let q(s) = 0. Calculate s.
-192, -1, 0
Factor -92*t + 120 + 219 - 5*t**2 + 93 + t**2.
-4*(t - 4)*(t + 27)
Let v(s) be the first derivative of s**4/6 + 2*s**3/9 - 2*s**2 - 662. Suppose v(d) = 0. Calculate d.
-3, 0, 2
Let o(j) be the first derivative of 10*j**2 + 1/150*j**5 + 0*j + 13 + 1/3*j**3 + 1/10*j**4. Let d(a) be the second derivative of o(a). Factor d(v).
2*(v + 1)*(v + 5)/5
Let v(g) be the third derivative of 1/20*g**5 + 0 + 1/16*g**6 + 0*g**4 - 16*g**2 + 0*g**3 + 2*g. Factor v(k).
3*k**2*(5*k + 2)/2
Let d(n) = -81*n - 966. Let v be d(-12). Let m(j) be the first derivative of j**3 + v*j - 10 - 11/2*j**2. Find o such that m(o) = 0.
2/3, 3
Suppose -3*w + 59 = 5*g, -4*g = -5*g + 1. Determine z, given that 21*z**2 + w*z**3 - 8*z**4 - 1 - 2*z**5 - 30*z + 11*z**2 - 10*z + 1 = 0.
-5, -2, 0, 1, 2
Let c(p) be the second derivative of -3*p**5/25 + 9*p**4/20 + 361*p**3/10 + 396*p**2/5 + 8509*p. Let c(i) = 0. What is i?
-8, -3/4, 11
Suppose -5*w + 602 = -118. Suppose -2*o = 34*o - w. Factor 9/2 + 9*f**3 - 3/2*f**o - 3/2*f**5 + 21*f**2 + 33/2*f.
-3*(f - 3)*(f + 1)**4/2
Suppose 0 = z - 4*r + 270, -637 = 2*z - r - 104. Let x = 268 + z. Factor -x*n + 1/4*n**2 + 1 + 5/4*n**3 - 1/4*n**4 - 1/4*n**5.
-(n - 1)**3*(n + 2)**2/4
Let n = -63899 + 319619/5. Factor n*j**2 - 4/5*j**4 + 64/5*j + 0 + 56/5*j**3.
-4*j*(j - 16)*(j + 1)**2/5
Let k = 2/49963 - -249807/199852. Let f(g) be the second derivative of k*g**5 - 10/3*g**4 - 95/6*g**3 - 15*g**2 - 1 - 3*g. Find t, given that f(t) = 0.
-1, -2/5, 3
Let p(k) = -9*k - 2*k**2 + 8*k**2 - 3*k**2 + 6*k**2. Let l = 40 - 42. Let u(i) = 3*i**2 - 3*i. Let z(j) = l*p(j) + 7*u(j). Factor z(o).
3*o*(o - 1)
Let w = -140 + 142. Let 7*x**2 + 6*x**3 + 2*x**w - 3*x**4 - 12*x - 5*x**2 + 5*x**2 - 12 = 0. What is x?
-1, 2
Suppose 256/7*a + 2/7*a**2 + 8192/7 = 0. Calculate a.
-64
Let a = -13042 + 13042. Let z(t) be the second derivative of 23*t + 0 - 1/150*t**6 + 0*t**5 + 1/60*t**4 + a*t**3 + 0*t**2. Factor z(q).
-q**2*(q - 1)*(q + 1)/5
Factor 37/8*x - 1/2*x**3 - 3/2 + 45/8*x**2.
-(x - 12)*(x + 1)*(4*x - 1)/8
Find o, given that 0 + 51/2*o**2 + 90*o + 3/2*o**3 = 0.
-12, -5, 0
Let m(z) = -2*z + 46. Let v be m(11). Solve -238*r**4 + 130*r**5 - 16*r + v*r**5 - 36*r**3 + 88*r**2 - 252*r**5 = 0.
-2, -1, 0, 2/7
Factor 6/7*k**3 - 1575 - 277/7*k**2 + 528*k.
(k - 21)**2*(6*k - 25)/7
Let o(l) be the third derivative of l**6/480 - 4*l**5/5 - 65*l**4/8 - 98*l**3/3 + 299*l**2 - 2. Determine m, given that o(m) = 0.
-2, 196
Let y(f) be the first derivative of 18*f**4 + 2*f**3/3 - 1017. Factor y(u).
2*u**2*(36*u + 1)
Let s be (-2088)/(-504) + (-2 - 26/(-14)). Suppose 3*i = i + 82. Factor -5 - 2*b + 12*b - 10*b**3 - i*b**4 + 46*b**s.
5*(b - 1)**3*(b + 1)
Let c(g) = 20*g**2 - 1949*g + 9973. Let m(y) = -6*y**2 + 650*y - 3324. Let o(a) = -4*c(a) - 13*m(a). Let o(f) = 0. What is f?
-332, 5
Let x(f) = -4*f**2 - 4*f**2 - 2 + 2*f - 7*f**2 + 14*f**2 + f**3. Let u(m) = -20*m**3 + 30*m**2 - 75*m + 65. Let t(o) = u(o) + 25*x(o). Let t(p) = 0. What is p?
-3, 1
Let p(y) = y**3 + 6*y**2 + 7. Let c be p(-5). Factor 6*h**3 + 2*h**2 + c*h**2 + 31 + 200*h - 16*h**3 - 5*h**4 + 129 + 26*h**2.
-5*(h - 4)*(h + 2)**3
Suppose -90*n + 132*n - 168 = 0. Let j(m) be the second derivative of -1/30*m**3 - 1/30*m**n + 0 + 28*m + 0*m**2 - 1/100*m**5. Factor j(l).
-l*(l + 1)**2/5
Suppose -3*g**3 + 0*g + 7/4*g**4 - g**2 + 0 = 0. What is g?
-2/7, 0, 2
Let u(c) be the third derivative of 11/36*c**4 + 1/45*c**5 - 15*c**2 - 2/3*c**3 - 1/15*c**6 + 2 + 0*c + 1/504*c**8 + 4/315*c**7. What is w in u(w) = 0?
-6, -1, 1
Let w(o) = -o**3 - 6*o**2 - 12*o. Let h be w(-4). Factor -h*p**2 + 277 - 553 + 276 - 4*p**3.
-4*p**2*(p + 4)
Let c(u) = 8*u - 108. Let o be c(15). Let 18*m**3 - m + 4*m + o*m**2 + 0*m - m = 0. What is m?
-1/3, 0
Let v(r) be the first derivative of 2*r**6/3 + 76*r**5/5 + 31*r**4 - 220*r**3/3 - 128*r**2 + 272*r + 1025. Suppose v(h) = 0. Calculate h.
-17, -2, 1
Let o = 104 + -98. Let i be 1*(2/o + (-2)/(-6)). Let 2/3*p**2 - 2/3 - 2/3*p**3 + i*p = 0. Calculate p.
-1, 1
Let w(x) be the first derivative of 3*x**4/4 - 75*x**3 - 3*x**2/2 + 225*x + 643. Factor w(a).
3*(a - 75)*(a - 1)*(a + 1)
Let a(d) be the second derivative of -5*d**4/12 + 250*d**3/3 + 505*d + 2. Factor a(f).
-5*f*(f - 100)
Let u(c) be the second derivative of c**5/5 + 506*c**4 + 384054*c**3 - 2921*c. Find y such that u(y) = 0.
-759, 0
Let a(k) be the second derivative of -k**5/4 - 5*k**4/12 + 40*k**3/3 - 50*k**2 - 100*k + 9. Solve a(j) = 0.
-5, 2
Let h(q) be the third derivative of -q**6/480 + 3*q**5/80 + 23*q**4/48 - 5*q**3 + 627*q**2 - q + 3. Let h(n) = 0. Calculate n.
-5, 2, 12
Let i(g) be the second derivative of g**6/20 - 99*g**5/40 + 121*g**4/8 - 147*g**3/4 + 87*g**2/2 - 1488*g. Solve i(d) = 0.
1, 2, 29
Let a(s) be the first derivative of -40328*s**6/3 + 47712*s**5 - 57945*s**4 + 70540*s**3/3 + 1650*s**2 + 36*s - 907. Factor a(u).
-4*(u - 1)**3*(142*u + 3)**2
Let q be (-17 - -16)*0/((-48)/(-6)). Let m(o) be the second derivative of -44*o - 3/20*o**5 + 3/4*o**4 - 3/2*o**3 + 3/2*o**2 + q. Let m(v) = 0. Calculate v.
1
Let s(n) = 21 + 23 + 7*n**3 - 9*n + 10 - 28. Let w(j) = -20*j**3 + 29*j - 77. Let i(t) = -17*s(t) - 6*w(t). Find a, given that i(a) = 0.
-5, 1, 4
Suppose -9 = -11*f + 8*f. Suppose 23*g - 3 + f = 0. Determine c, given that -1/6*c**2 - 1/2*c**4 + 0 - 1/6*c**5 - 1/2*c**3 + g*c = 0.
-1, 0
Let r(g) be the first derivative of 21 + 0*g + 26*g**2 + 7/120*g**5 + 1/4*g**4 - 1/3*g**3. Let j(l) be the second derivative of r(l). Factor j(c).
(c + 2)*(7*c - 2)/2
Suppose 332*q - 576 = 1084. Solve -4*t**4 + 4/3*t**q + 0 - 4/3*t**2 + 0*t + 4*t**3 = 0 for t.
0, 1
Suppose l = -4*j - 3*l + 36, 0 = 4*j - l - 26. Suppose j*i = 11*i - 24. Factor -19*q**2 + 20 + 18*q**2 - 20 + i*q.
-q*(q - 6)
Let c = -259444 + 259446. Factor -3/8*p**c + 87/8*p + 0.
-3*p*(p - 29)/8
Factor 466/3*f**2 + 2*f**3 + 1208/3*f + 200.
2*(f + 2)*(f + 75)*(3*f + 2)/3
Let v(p) be the third derivative of -38*p + 0*p**3 + 1/30*p**5 - 7/480*p**6 + 0*p**4 - 2*p**2 - 1/840*p**7 + 0. Factor v(i).
-i**2*(i - 1)*(i + 8)/4
Let z be -133 - -140 - ((-1)/(-3) + (-448)/12). Let j(y) be the third derivative of -y**3 + 0*y - 1/5*y**5 + 5/8*y**4 + z*y**2 + 0 + 1/40*y**6. Factor j(q).
3*(q - 2)*(q - 1)**2
Let t(u) = 6*u - 16. Let j be t(5). Suppose j*c = 7*c + 21. Factor 0*q - q**2 - c*q + q + 5*q.
-q*(q - 3)
Suppose 462*c - 927*c = -464*c - 26. Let w(j) be the first derivative of -27/10*j**5 + 24 + 120*j**2 - 96*j - c*j**3 - 45/2*j**4. Solve w(l) = 0 for l.
-4, 2/3
Suppose 540 + 22 = 220*b + 105*b - 88. Determine c so that 0 + c**3 - 1/6*c - 5/6*c**b = 0.
-1/6, 0, 1
Let n(f) = 15*f**2 - 120*f + 355. Let p(i) = -5*i - 37. Let u = 43 - 50. Let q be p(u). Let x(r) = 7*r**2 - 60*r + 178. Let d(l) = q*n(l) + 5*x(l). Factor d(k).
5*(k - 6)**2
Factor -2/5*n**2 + 4632/5*n - 2681928/5.
-2*(n - 1158)**2/5
Let x(l) be the second derivative of -l**7/105 + l**5/10 - l**4/6 + 103*l**2 - 43*l. Let c(u) be the first derivative of x(u). Suppose c(a) = 0. What is a?
-2, 0, 1
Let l = 13133/2428