k**2 - 6/13*k**4 = 0.
0, 1
Let t(a) = -a**2 + 2*a + 4. Let q(b) = b + 10. Let h be q(-10). Let j be t(h). Factor 2/3*s**2 + 0 - 4/3*s**3 - 2/3*s**j + 4/3*s.
-2*s*(s - 1)*(s + 1)*(s + 2)/3
Suppose -3*r - b = 4*b - 38, -4 = -b. Let t = 8 - r. Factor -c**2 + 6 - t - 3.
-(c - 1)*(c + 1)
Let u(w) be the second derivative of -49*w**6/10 - 5817*w**5/20 - 274*w**4 - 78*w**3 - 305*w + 1. Solve u(b) = 0.
-39, -2/7, 0
Let u(i) be the third derivative of i**5/12 + 5*i**4/2 + 55*i**3/6 - 50*i**2 + 3*i. Factor u(q).
5*(q + 1)*(q + 11)
Let b(x) be the second derivative of 0 - 3/160*x**5 + 29*x + 21/16*x**2 + 13/16*x**3 + 5/32*x**4. Solve b(m) = 0.
-1, 7
What is j in 8/5*j**4 - 2/5*j**5 - 32/5*j**2 - 24/5 + 12/5*j**3 - 58/5*j = 0?
-1, 3, 4
Let j be (-7 - -3)*-1 + -2 + 1. Let d(h) = h. Let o(y) = 3*y**2 - 6*y - 18. Let i(l) = j*d(l) + o(l). Solve i(z) = 0 for z.
-2, 3
Let c(d) be the third derivative of d**9/45360 - d**8/5760 + d**7/7560 + d**6/1440 - 3*d**4/4 + 42*d**2. Let q(t) be the second derivative of c(t). Factor q(i).
i*(i - 3)*(i - 1)*(2*i + 1)/6
Solve -f**3 + 8*f**4 + 4*f**5 - 7*f**4 - 4 + 11*f**4 + 9*f**3 - 12*f - 4*f**2 - 4*f**2 = 0 for f.
-1, 1
Let c(x) be the second derivative of x**4/20 + 9*x**3/10 + 21*x**2/5 + 131*x. Factor c(w).
3*(w + 2)*(w + 7)/5
Let d(t) be the second derivative of t**4/108 + t**3/3 - 20*t**2/9 - 80*t. Factor d(l).
(l - 2)*(l + 20)/9
Let o be (-104)/8 + 8/2. Let s be -1*6/o - 0/(-3). Factor -s*l - 4/9 + 0*l**2 + 2/9*l**3.
2*(l - 2)*(l + 1)**2/9
Let f(v) be the first derivative of 0*v + 7/270*v**5 - 2 - 1/12*v**4 + 2*v**2 + 2/27*v**3. Let s(k) be the second derivative of f(k). Factor s(b).
2*(b - 1)*(7*b - 2)/9
Let l = -27530 - -27534. Find z such that 1458/11*z**5 - 216/11*z - 972/11*z**l + 956/11*z**2 - 1242/11*z**3 + 16/11 = 0.
-1, 2/9, 1
Let v be (-36)/(-66) - (-68)/(-374). Factor 10/11*i**3 - 16/11*i**2 + 2/11*i + v.
2*(i - 1)**2*(5*i + 2)/11
Let n(v) = v**2 - 2*v + 2. Let y(x) = -x**2 - 62*x - 448. Let d(z) = -n(z) + y(z). Factor d(a).
-2*(a + 15)**2
Let w(m) be the first derivative of m**5/12 - 25*m**4/12 + 125*m**3/6 - 9*m**2 - 10. Let s(b) be the second derivative of w(b). Factor s(l).
5*(l - 5)**2
Factor 15/2 + 16805/6*m**2 + 1000/3*m**4 - 295*m + 5900/3*m**3.
5*(m + 3)**2*(20*m - 1)**2/6
Determine u, given that 16*u**2 - 50*u**3 + 34*u**2 + 25*u**3 - 28 + 100*u + 68 - 15*u**4 = 0.
-2, -1, -2/3, 2
Suppose s + 1 = r, -2*r = -3*s + 2 - 0. Suppose -z + 3*z - 1 = g, z + r*g = 28. Factor 0 - z*m**2 - 3*m - 3/4*m**3.
-3*m*(m + 2)**2/4
Let g(w) be the first derivative of -w**4/18 - 4*w**3/27 + 20*w**2/9 - 16*w/3 + 156. Suppose g(n) = 0. What is n?
-6, 2
Let x(z) be the second derivative of 1/24*z**3 + 5*z + 0*z**2 + 1/48*z**4 + 0. Factor x(a).
a*(a + 1)/4
Let d = -3745 - -18731/5. Let d*v + 4/5 + 2/5*v**2 = 0. What is v?
-2, -1
Let f(b) be the third derivative of 35/24*b**4 + 3*b**2 + 0 - 7/24*b**6 - 5/12*b**5 + 1/7*b**7 - 5/6*b**3 + 0*b. Suppose f(h) = 0. What is h?
-1, 1/6, 1
Let f(o) be the third derivative of -o**5/15 - 102*o**2. Suppose f(p) = 0. What is p?
0
Let k(t) be the first derivative of -t**5/15 + 8*t**3/3 + 11*t**2 + 22. Let u(h) be the second derivative of k(h). Factor u(y).
-4*(y - 2)*(y + 2)
Let r = -835 - -5848/7. Factor 2/7 + 1/7*v**4 - r*v**2 - 1/7*v + 1/7*v**3.
(v - 1)**2*(v + 1)*(v + 2)/7
Let n = 43102/11 + -3918. What is y in -n*y - 2/11 + 2/11*y**2 + 4/11*y**3 = 0?
-1, -1/2, 1
Solve 11/5*z**2 - 4/5 + 2/5*z**4 + 0*z - 9/5*z**3 = 0 for z.
-1/2, 1, 2
Let h(s) be the third derivative of s**7/490 + s**6/40 + 13*s**5/140 - 3*s**4/56 - 9*s**3/7 - 128*s**2. Factor h(l).
3*(l - 1)*(l + 2)*(l + 3)**2/7
Let y(u) be the third derivative of u**7/350 + u**6/120 - 11*u**5/300 + u**4/40 - 144*u**2. Factor y(z).
z*(z - 1)*(z + 3)*(3*z - 1)/5
Suppose -268 + 264 + 2*w - 6*w**3 + 2*w**4 + 2*w**2 + 4*w = 0. Calculate w.
-1, 1, 2
Let -10/13*h**2 - 88/13*h - 120/13 + 2/13*h**3 = 0. What is h?
-3, -2, 10
Find d, given that -1/3*d**3 + 32/3 + 4/3*d**2 + 28/3*d = 0.
-2, 8
Let r be (8 - 7)/(4 - (-184)/44). Let x(q) be the third derivative of 0 - 2/9*q**3 + 0*q + 6*q**2 + 1/4*q**4 + r*q**5. Let x(u) = 0. What is u?
-1, 2/11
Let c(w) be the third derivative of w**5/450 - 223*w**4/90 + 49729*w**3/45 - 288*w**2. Factor c(q).
2*(q - 223)**2/15
Let w be 6/(-9) + 1/(3/20). Let s(v) be the third derivative of 0*v - 1/120*v**w + 0 + 0*v**3 - 1/90*v**5 - 2*v**2 + 1/126*v**7 + 0*v**4. What is c in s(c) = 0?
-2/5, 0, 1
Let v(g) be the first derivative of -338*g**3/51 + 52*g**2/17 - 8*g/17 + 152. Let v(o) = 0. What is o?
2/13
Let u(a) be the first derivative of -2*a**5/15 + a**4 - 26*a**3/9 + 4*a**2 - 8*a/3 + 759. Let u(i) = 0. Calculate i.
1, 2
Let w = -434 - -437. Let m(t) be the first derivative of 1/2*t**2 + 4 - 1/2*t**w + 0*t + 1/8*t**4. Factor m(b).
b*(b - 2)*(b - 1)/2
Let a = -2489/11 - -227. Factor -a*z**2 + 0 - 2/11*z**3 - 8/11*z.
-2*z*(z + 2)**2/11
Factor -12 - 56*l + 39*l**2 + 26*l**2 - 74*l**2.
-(l + 6)*(9*l + 2)
Let f(w) = 30*w**3 - 85*w**2 + 50*w - 2. Let v(j) = -60*j**3 + 170*j**2 - 100*j + 5. Let p(l) = -5*f(l) - 2*v(l). Find m, given that p(m) = 0.
0, 5/6, 2
Factor 0 + 2/7*p**3 - 176/7*p**2 + 0*p.
2*p**2*(p - 88)/7
Let x(i) be the third derivative of -32*i**7/35 - 46*i**6/5 - 63*i**5/5 - 61*i**4/8 - 5*i**3/2 + 70*i**2. Find v, given that x(v) = 0.
-5, -1/4
Let v(c) = c**2 + 34*c + 292. Let x be v(-18). Let s(f) be the first derivative of 3/14*f**x + 9/7*f**2 - 20/21*f**3 + 11 - 4/7*f. Factor s(m).
2*(m - 2)*(m - 1)*(3*m - 1)/7
Let d(f) = -11*f + 96. Let a be d(4). Let w be (-5)/a - (-5)/20. Factor 0*i + 2/13*i**2 + 0 + w*i**3.
2*i**2*(i + 1)/13
Let u(z) be the third derivative of z**7/945 + 11*z**6/270 + 47*z**5/90 + 55*z**4/27 + 100*z**3/27 + 147*z**2. Find k, given that u(k) = 0.
-10, -1
Suppose -3 + 13 = 5*m. Find q, given that q**3 + 143*q**2 + 4 - m*q + q**3 - 147*q**2 = 0.
-1, 1, 2
Let w(v) = 7*v**2 + 9*v + 11. Let k(q) = 32*q**2 + 44*q + 54. Let y(m) = 6*k(m) - 28*w(m). Find s, given that y(s) = 0.
-1, 4
Suppose 27*u - 25*u = 4*n - 16, -2*n - u = 0. Determine k so that -k + 0 - 1/2*k**n = 0.
-2, 0
Let d = 38 + -18. Let n(f) be the first derivative of -d - 25 + 43 + f**4 + 4*f**2 - 3*f**3 - f**3. Factor n(z).
4*z*(z - 2)*(z - 1)
Let m be ((-6)/(-15))/(6/15). Let s = m + 6. Factor -1 + 3*h**4 - 37*h**3 + 27*h**2 + 22*h**3 - 21*h + s.
3*(h - 2)*(h - 1)**3
Suppose 20*w = -109*w. Factor -8/5*i + 2/5*i**2 + w.
2*i*(i - 4)/5
Let s = -29137/12 - -10803/4. Let b = s - 270. Factor -14/3*g**3 + 0 + b*g - 8*g**2.
-2*g*(g + 2)*(7*g - 2)/3
Let f(u) = -u**3 - 17*u**2 - 16*u + 3. Let l be f(-16). Determine b, given that -491 + 3*b**l + 3*b**2 + b - 5*b**3 + 495 - b**4 + 7*b = 0.
-2, -1, 2
Factor -447/5*l**2 - 16428/5 + 16872/5*l + 3/5*l**3.
3*(l - 74)**2*(l - 1)/5
Let s(t) be the first derivative of -243/5*t**5 - 150*t**4 + 336*t**2 - 20*t**3 + 22 - 192*t - 9/2*t**6. Let s(q) = 0. Calculate q.
-4, -2, 1/3, 2/3
Factor -2/13*a**5 - 188/13*a**3 - 380/13*a**2 - 98/13 - 34/13*a**4 - 322/13*a.
-2*(a + 1)**3*(a + 7)**2/13
Suppose c + 5*f + 69 = 0, 5*f + 128 = -3*c - 29. Let j = c - -47. Solve 0*i**j + 3/4*i**4 - i**2 + 1/4*i**5 + 0*i + 0 = 0.
-2, 0, 1
Let x be (0 - (-4)/24)*(-928)/(-48) - 3. Suppose -x*a**2 + 0*a + 2/9 = 0. What is a?
-1, 1
Let l = -368 - -373. Let b(r) be the second derivative of -r + 1/273*r**7 - 1/39*r**3 + 2/195*r**6 - 1/39*r**4 + 0*r**l + 0 + 0*r**2. Factor b(v).
2*v*(v - 1)*(v + 1)**3/13
Suppose 3*p - 4 = 5, 3*b - 2*p - 3 = 0. Factor -c - c - b*c**2 + c**2 + 0*c.
-2*c*(c + 1)
Let f(o) be the first derivative of -8/3*o**3 + 15*o**2 + 8*o + 13. Let f(u) = 0. Calculate u.
-1/4, 4
Let g(u) be the second derivative of -u**7/70 - u**6/50 + 9*u**5/50 + 7*u**4/10 + 11*u**3/10 + 9*u**2/10 - 13*u - 1. Factor g(c).
-3*(c - 3)*(c + 1)**4/5
Let k be -2 + 6/(-39) + 14/91. Let w be 106/204 + 0 + k/12. Factor 2/17 - 6/17*n + w*n**2 - 2/17*n**3.
-2*(n - 1)**3/17
Factor 4*k - 5 - 1/4*k**3 - 1/4*k**2.
-(k - 2)**2*(k + 5)/4
Let y(i) be the first derivative of -2*i**5/25 - i**4/5 + 52. Factor y(w).
-2*w**3*(w + 2)/5
Let o(r) be the second derivative of 0*r**4 + 1/168*r**7 + 0*r**2 + 0*r**6 + 0*r**3 + 0 - 1/80*r**5 + 18*r. Factor o(d).
d**3*(d - 1)*(d + 1)/4
Let r be ((-13)/(-26))/((-2)/(-425)). Let o = r - 106. Factor -1/4*t - 1