**2 - 16/13*l + 36/13*l**3 + 10/13*l**4.
2*l*(l + 2)**2*(5*l - 2)/13
Let j(z) be the third derivative of z**8/168 + z**7/105 - 4*z**6/15 + 2*z**5/3 - 65*z**2 + 2*z. Let j(b) = 0. Calculate b.
-5, 0, 2
Suppose 459*b**2 - 179*b**2 + 363*b**3 + 504*b + 519*b**2 + 108 - 121*b**2 + 81*b**2 = 0. What is b?
-1, -6/11
Factor -100/3*d**3 + 0 + 0*d + 0*d**2 + 20/3*d**4 - 1/3*d**5.
-d**3*(d - 10)**2/3
Let k(l) = -l**2 - 3*l + 4. Let o(n) be the first derivative of n**2/2 - n + 1. Let y(v) = k(v) + 4*o(v). Factor y(f).
-f*(f - 1)
Let x(m) = -m**2 + 14*m + 27. Let j be x(15). Suppose -j = -7*d + 4*d. Find o such that o**3 + 0*o**2 - 1/2 - o + 1/2*o**d = 0.
-1, 1
Let u(n) be the first derivative of 2/3*n**6 + 16*n + 4/3*n**3 + 17 - 16*n**2 - 4*n**5 + 7*n**4. Determine q so that u(q) = 0.
-1, 1, 2
Let r(m) be the third derivative of m**6/720 - m**5/30 + 7*m**3/2 + 50*m**2. Let n(k) be the first derivative of r(k). Solve n(b) = 0.
0, 8
Let z(c) be the second derivative of -1/24*c**4 - 2*c - 1/3*c**3 + 0 + 5/4*c**2. Factor z(d).
-(d - 1)*(d + 5)/2
Let v(g) be the second derivative of -g**5/270 + g**4/18 - 5*g**3/27 + 8*g**2 + 14*g. Let h(j) be the first derivative of v(j). Factor h(s).
-2*(s - 5)*(s - 1)/9
Factor 14*m**4 - 9*m**2 + 14*m - 17*m**2 - 22*m - 10*m**3 - 6*m**2.
2*m*(m - 2)*(m + 1)*(7*m + 2)
Suppose 6*r - 512 = 4*r. Factor 42*s**4 + 448*s**3 + 32 + 127*s**2 + 497*s**2 + 56*s**4 + r*s.
2*(s + 2)**2*(7*s + 2)**2
Let n(r) be the third derivative of r**6/8 + 169*r**5/12 - 60*r**4 + 290*r**3/3 - 954*r**2. Factor n(y).
5*(y - 1)*(y + 58)*(3*y - 2)
Suppose -2*s - 3 = s, 27 = d + s. Let k = d + -23. What is t in 11*t - 37*t + 15 + k*t**2 + 6*t = 0?
1, 3
Let t = -76 + 53. Let o = -18 - t. Factor -3*q**4 - 2*q**5 + 5*q**5 + q**4 - 4*q**o - q**3.
-q**3*(q + 1)**2
Let z be (6*(-4)/6)/(-2). Suppose 30*f + 2*f**2 - f**z - 32*f + f**2 = 0. Calculate f.
0, 1
Suppose 0 = 122*g - 113*g - 72. Suppose 2*c + 8 = 5*d, 0 = -2*d - d - 2*c - g. Factor -6/5*n**3 + 6/5*n - 3/5*n**2 + d + 3/5*n**4.
3*n*(n - 2)*(n - 1)*(n + 1)/5
Determine t, given that -32*t**2 - 47 + 20*t**3 + 11*t + t + 47 = 0.
0, 3/5, 1
Factor 66/7*h**2 + 2662/7 + 726/7*h + 2/7*h**3.
2*(h + 11)**3/7
Let w(z) be the third derivative of z**6/108 + 7*z**5/45 + 19*z**4/27 + 8*z**3/9 + 365*z**2. Let w(g) = 0. Calculate g.
-6, -2, -2/5
Suppose 3*i - 12 = -i. Let c(o) = o**2 + 1 - i*o + o + 3*o. Let l(m) = 5*m**2 + m + 3. Let j(v) = -3*c(v) + l(v). Factor j(s).
2*s*(s - 1)
Factor 289/6 + 1/6*a**2 - 17/3*a.
(a - 17)**2/6
Let u(q) be the third derivative of -q**5/450 - q**4/12 - 26*q**3/45 - 13*q**2. Determine b, given that u(b) = 0.
-13, -2
Let h be (-5 - (-5 - 0)) + (-6 - -4) + 6. Let -4/5*r + 12/5*r**2 + 0 - 13/5*r**3 - 1/5*r**5 + 6/5*r**h = 0. Calculate r.
0, 1, 2
Let n(q) = -6*q**4 + 16*q**3 - 22*q**2 + 4*q + 2. Let w(d) = d**4 + d**2 + 2*d - 1. Let u(p) = n(p) + 2*w(p). Solve u(m) = 0 for m.
0, 1, 2
Let s(d) be the third derivative of -d**8/84 + 4*d**7/21 - 19*d**6/15 + 68*d**5/15 - 19*d**4/2 + 12*d**3 + d**2 + 57*d. Find z, given that s(z) = 0.
1, 2, 3
Let r(m) be the third derivative of -m**6/90 - m**5/10 + 4*m**3/3 - m**2. Let s(g) be the first derivative of r(g). What is k in s(k) = 0?
-3, 0
Let m(s) = -s**4 + 2*s**3 + 6*s**2 - 8*s + 7. Let j(b) = -4 + 3 - 82*b**2 + 81*b**2. Let r(f) = 3*j(f) + m(f). Factor r(g).
-(g - 2)*(g - 1)**2*(g + 2)
Let l(p) = -21*p**5 + 17*p**4 - 3*p**3 - 6*p**2. Let c(k) = -22*k**5 + 18*k**4 - 2*k**3 - 4*k**2. Let d(z) = 3*c(z) - 2*l(z). Factor d(s).
-4*s**4*(6*s - 5)
Let y(t) be the second derivative of -t**6/1080 - t**5/180 - t**4/72 - 2*t**3 + 9*t. Let h(v) be the second derivative of y(v). Factor h(z).
-(z + 1)**2/3
Let y(l) be the third derivative of l**7/210 + l**6/30 - l**5/10 - l**4/6 + 5*l**3/6 + 326*l**2. Factor y(w).
(w - 1)**2*(w + 1)*(w + 5)
Let n = 3534 - 3531. Factor 0 + 7/3*q**2 - 5/3*q**n - 2/3*q.
-q*(q - 1)*(5*q - 2)/3
Let k(n) be the third derivative of n**5/28 + 23*n**4/56 - 5*n**3/7 + 89*n**2 - 2*n. Factor k(z).
3*(z + 5)*(5*z - 2)/7
Factor 1/3*u**2 - 5/3*u + 2.
(u - 3)*(u - 2)/3
Let x = 80 - 77. Factor 15*u**x + 17*u**3 - 9*u - 16*u**2 + 11*u.
2*u*(4*u - 1)**2
Solve -2*y**5 + 3*y**5 - 24*y**3 - 84*y**2 - 2596*y**4 - 96*y**2 + 2603*y**4 = 0.
-6, 0, 5
Let t = 41 - 36. Suppose -27 = -t*c + 33. Find x, given that 15/2*x**2 + 6 - c*x - 3/2*x**3 = 0.
1, 2
Let s(h) be the first derivative of -5*h**4/2 + 65*h**3/3 - 50*h**2 + 45*h - 71. Determine q, given that s(q) = 0.
1, 9/2
Let p(x) be the third derivative of 1/270*x**5 + 8/27*x**3 + 1/18*x**4 + 0*x - 13*x**2 + 0. Factor p(v).
2*(v + 2)*(v + 4)/9
Let h(j) = -2*j**2 + 46*j - 247. Let f be h(9). Find i such that 4/13 + 2/13*i**f + 2/13*i - 8/13*i**2 - 4/13*i**3 + 4/13*i**4 = 0.
-2, -1, 1
Suppose -593/2*a**3 - 84*a**4 - 873/2*a**2 - 567/2*a - 8*a**5 - 135/2 = 0. What is a?
-5, -3, -1, -3/4
Let -13*d - 17*d + 25*d + 3*d**2 + 7*d**2 = 0. What is d?
0, 1/2
Suppose -6 = 46*r - 49*r. Let y(l) be the second derivative of -r*l**3 + 0 + 3/2*l**2 - 5*l + 3/4*l**4. Let y(i) = 0. Calculate i.
1/3, 1
Let x = 1585/3 + -527. Let m(l) be the third derivative of 1/6*l**4 - 8*l**2 + 0 - x*l**3 + 0*l + 7/10*l**5 - 3/8*l**6. Find o, given that m(o) = 0.
-2/5, 2/3
Let s(n) be the third derivative of -26*n**7/105 + 181*n**6/15 - 2492*n**5/15 - 196*n**4/3 - 11*n**2 + 15. Let s(k) = 0. Calculate k.
-2/13, 0, 14
Let w(y) be the second derivative of y**7/105 - y**6/25 - 9*y**5/50 - y**4/6 - 14*y. Factor w(a).
2*a**2*(a - 5)*(a + 1)**2/5
Let j be -4 + 1 - 0 - -7. Suppose -9 = -5*i + j*b, -i = b + b + 1. Let 2 - 1 + 20*t - 5*t**2 - i = 0. What is t?
0, 4
Factor -3 - 4 - x**3 + 2 - 15*x**2 - 3 + 4*x + 17*x**2.
-(x - 2)**2*(x + 2)
Suppose 81*i = 83*i - 8. Factor 3*k**5 + 6*k**i - 80*k + 160 - 6*k**4 + 10*k**4 - 80*k**2 + 40*k**3 - 8*k**5.
-5*(k - 2)**3*(k + 2)**2
Let x(r) = r**2 - r. Let s(h) = 6*h**2 - 11*h + 5. Let a(v) = -s(v) + 5*x(v). Solve a(n) = 0.
1, 5
Let c be (-4)/3*(23 + -26). Factor 2 - 48*b**3 + c*b - 8*b**2 + 6*b**4 + 12*b**3 + 15*b**3 + 17*b**3.
2*(b - 1)**2*(b + 1)*(3*b + 1)
Suppose -28*q = -85 + 29. Determine s, given that 0 + 4/9*s + 14/3*s**4 + q*s**5 - 2*s**2 + 2/9*s**3 = 0.
-2, -1, 0, 1/3
Let w(j) be the third derivative of j**6/360 + 133*j**5/180 + 4355*j**4/72 - 4489*j**3/18 - 4*j**2 - 4. Factor w(m).
(m - 1)*(m + 67)**2/3
Suppose 188/3*t + 580/3*t**3 - 4*t**4 + 0 - 252*t**2 = 0. What is t?
0, 1/3, 1, 47
Let r(h) be the third derivative of h**7/630 - h**6/40 - 11*h**5/60 - 35*h**4/72 - 2*h**3/3 + 110*h**2. Solve r(j) = 0 for j.
-1, 12
Let w(u) be the first derivative of -2*u**3/15 + u**2 + 48*u/5 - 133. What is c in w(c) = 0?
-3, 8
Let q(b) be the second derivative of -15*b - 2/3*b**2 + 1/36*b**4 + 0 + 1/6*b**3. Determine i, given that q(i) = 0.
-4, 1
Let m = -5615 + 95457/17. Factor 0*f - 2/17*f**3 + 0*f**2 + 0 - m*f**5 - 4/17*f**4.
-2*f**3*(f + 1)**2/17
Solve 1/4*u**2 + 1/4*u**3 + 0 - 1/2*u = 0 for u.
-2, 0, 1
Suppose -7 = -3*l + 14*h - 15*h, -3*l - 2*h - 1 = 0. Solve 0 + 1/6*j**l - 1/6*j**3 - 1/6*j**4 + 0*j + 1/6*j**2 = 0.
-1, 0, 1
Let q = -63 - -66. Factor -u**2 - 2*u + 54*u**4 - 53*u**4 + 6*u**3 - 4*u**q.
u*(u - 1)*(u + 1)*(u + 2)
Suppose 5*t = 3*t. Suppose t*c - 4 = -2*c. Factor 4*p - c*p**2 - 12*p + 10*p.
-2*p*(p - 1)
What is y in 81*y**3 + 103707 + 42461 + 68445*y + 38*y**3 + 3*y**4 - 27530 - 2*y**4 + 4797*y**2 = 0?
-39, -2
Let r be (24/14)/(21/((-1323)/(-90))). Let t(x) be the first derivative of r*x**5 + 0*x**4 + 0*x**2 + 5 - 1/2*x**6 + 0*x + 0*x**3. Solve t(l) = 0 for l.
0, 2
Let y(l) = -90*l**3 + 586*l**2 + 426*l + 102. Let g(h) = 18*h**3 - 117*h**2 - 85*h - 20. Let b(v) = 16*g(v) + 3*y(v). Factor b(p).
2*(p - 7)*(3*p + 1)**2
Let n(l) = -l**5 + 3*l**4 + l**3 + l**2 + 2*l. Let j(y) = 4*y**5 - 10*y**4 - 4*y**3 - 4*y**2 - 7*y. Let f(c) = -2*j(c) - 7*n(c). Factor f(i).
-i**2*(i - 1)*(i + 1)**2
Let i(x) be the third derivative of -1/48*x**4 - 12*x**2 + 1/120*x**5 + 1/240*x**6 + 0 + 0*x - 1/420*x**7 + 0*x**3. Determine t, given that i(t) = 0.
-1, 0, 1
Let l(g) be the first derivative of -4*g**5/25 + g**4/5 + 8*g**3/15 - 117. Factor l(p).
-4*p**2*(p - 2)*(p + 1)/5
Let m be (-14)/(-4) + (-1)/(2/3). Factor 5*l - 4*l - 93*l**m - 3*l + 91*l**2.
-2*l*(l + 1)
Let j(x) be the second derivative of -10/3*x**3 + 18*x - 1/3