- 64/13 + 2/13*k**3.
2*(k - 8)*(k + 2)**2/13
Let o = -1/2615 + 20927/18305. Factor -2/7*i**3 + 8/7*i**2 + 0 - o*i.
-2*i*(i - 2)**2/7
Let i(d) be the third derivative of -d**9/20160 - d**8/960 - d**7/112 - 3*d**6/80 - 5*d**5/12 + 29*d**2. Let f(u) be the third derivative of i(u). Factor f(w).
-3*(w + 1)*(w + 3)**2
Let s(l) = 28*l + 86. Let k be s(-3). Let o(p) be the first derivative of 4/3*p**3 - 8*p + k + 2*p**2. Solve o(q) = 0.
-2, 1
Let q(s) be the second derivative of s**5/30 - 7*s**4/18 + 8*s**3/9 + 16*s**2/3 + s - 69. What is o in q(o) = 0?
-1, 4
Let r(a) be the second derivative of -a**7/63 + a**6/15 + a**5/2 + 17*a**4/18 + 2*a**3/3 - 47*a. Factor r(j).
-2*j*(j - 6)*(j + 1)**3/3
Let n(f) be the third derivative of -f**8/1848 - 2*f**7/1155 + f**6/110 + 2*f**5/165 - 13*f**4/132 + 2*f**3/11 + f**2 + 39*f. Let n(k) = 0. Calculate k.
-3, -2, 1
Suppose 0 = -l - 5*u, 3*l + 0*u + 3*u - 12 = 0. Suppose 23 = 4*s + 5*o, -l*o + o = -s - 10. Factor 5*p**s + 3*p**2 - 4*p**2 + p**3 - 5*p**2.
p**2*(p - 1)
Let c = -999/22 - -76/11. Let z = 155/4 + c. Factor -z*i**2 - 1/2*i - 1/4.
-(i + 1)**2/4
Let n(t) be the third derivative of -t**7/420 + t**6/8 - 28*t**5/15 - 5*t**4/8 + 75*t**3/4 - 48*t**2 - 1. Factor n(f).
-(f - 15)**2*(f - 1)*(f + 1)/2
Let p(x) be the first derivative of -1/18*x**4 - 2/9*x**3 + 0*x**2 + 8/9*x + 2. Factor p(n).
-2*(n - 1)*(n + 2)**2/9
Let n(f) be the second derivative of f**8/10080 - f**7/3780 - f**4/3 + 4*f. Let c(o) be the third derivative of n(o). Factor c(v).
2*v**2*(v - 1)/3
Let y(b) be the second derivative of b**9/1008 - b**8/210 + b**7/120 - b**6/180 + 5*b**3/6 - 11*b. Let c(m) be the second derivative of y(m). Factor c(d).
d**2*(d - 1)**2*(3*d - 2)
Let k(a) be the second derivative of -5/6*a**6 - 1/2*a**5 + 0*a**3 + 0 - 3*a + 0*a**2 + 5/4*a**4. Factor k(u).
-5*u**2*(u + 1)*(5*u - 3)
Let x be -35 - -164 - (1 - -2). Let i be ((-48)/(-20))/(-4) + x/35. Factor 3/2*y**5 + 1/2*y**4 + 0*y**2 - y**i + 0 + 0*y.
y**3*(y + 1)*(3*y - 2)/2
Let z(k) be the first derivative of k**8/1008 - 2*k**7/315 + k**6/120 + k**5/45 - k**4/18 + 2*k**2 - 28. Let j(u) be the second derivative of z(u). Factor j(c).
c*(c - 2)**2*(c - 1)*(c + 1)/3
Suppose -4*y + k + 16 = -3*k, 0 = -3*y + k + 8. Suppose -v**2 - y*v**4 - 4*v**3 - 4*v**3 - 7*v**2 = 0. Calculate v.
-2, 0
Let o(s) = -s**3 + 8*s**2 - 9*s + 16. Let x be o(7). Suppose -2*j = -8, l = x*l - 4*j + 13. Factor -3*n + 0 + 21*n**2 - 147/4*n**l.
-3*n*(7*n - 2)**2/4
Find z such that 2*z**5 + 1 - 5/2*z + 11/2*z**4 - 13/2*z**2 + 1/2*z**3 = 0.
-2, -1, 1/4, 1
Let j(i) be the first derivative of -3*i**5/10 - 9*i**4/8 + 9*i**3/2 - 15*i**2/4 - 70. Find f, given that j(f) = 0.
-5, 0, 1
Let z be ((-1)/16)/((-3)/78). Let w = z + -49/40. Determine g, given that 6/5*g - 6/5*g**2 - w + 2/5*g**3 = 0.
1
Let t(v) = -2*v**2 + 2*v - 9. Let i be t(-5). Let g be ((-2)/30)/(-4 + i/(-18)). Factor 2/5*l**3 + g*l**2 + 0 + 0*l.
2*l**2*(l + 1)/5
Let p = -13627/2 + 6815. Determine y, given that -9*y + 27/2 + p*y**2 = 0.
3
Let l(c) = -1817*c + 5453. Let q be l(3). Let 4/9*a**q - 10/9*a - 4/3 + 2/9*a**3 = 0. Calculate a.
-3, -1, 2
Let j(k) be the second derivative of 4/5*k**2 - k + 39 + 1/50*k**5 + 1/6*k**4 + 8/15*k**3. Determine s so that j(s) = 0.
-2, -1
Let m be ((0/(0 - -2))/(-2))/4. Suppose 16*z = -m*z. Factor 0*o**3 - 1/2 + o**2 + z*o - 1/2*o**4.
-(o - 1)**2*(o + 1)**2/2
Suppose -6 = 4*p + 5*n - 3*n, 0 = 5*p - 4*n + 14. Let b = p - -4. Let -8 - 4*j**2 - b - 3 + 16*j + 1 = 0. What is j?
1, 3
Let t(s) be the first derivative of 1/15*s**5 + 1/60*s**6 + 0*s**3 + 1/12*s**4 + 4 + 0*s - 3/2*s**2. Let f(p) be the second derivative of t(p). Factor f(a).
2*a*(a + 1)**2
Let t(p) be the second derivative of 58*p**6/45 + 89*p**5/15 + 31*p**4/3 + 70*p**3/9 + 4*p**2/3 - 202*p. Factor t(d).
4*(d + 1)**3*(29*d + 2)/3
Factor -2*r**2 + 8/3 + 1/3*r**4 + 1/3*r**3 - 4/3*r.
(r - 2)*(r - 1)*(r + 2)**2/3
Let g be (0 - -1) + (408/(-42) - -9). Suppose g*a**3 - 1/7 - 2/7*a**2 + 3/7*a**4 + 1/7*a**5 - 3/7*a = 0. Calculate a.
-1, 1
Suppose 0 = -2*g - 0 + 4. Solve -b**2 - 4*b**g + 3*b**2 - 2*b**3 = 0.
-1, 0
Let k(o) = o**3 + 2*o. Let m(u) = 10*u**3 - 4*u**2 + 16*u. Let g(b) = 8*k(b) - m(b). Solve g(c) = 0 for c.
0, 2
Let g(r) be the second derivative of -r**5/24 - 5*r**4/16 - 5*r**3/6 - 2*r**2 + 30*r. Let p(a) be the first derivative of g(a). Find u such that p(u) = 0.
-2, -1
Let z be 10*(-4)/24*(-60)/50. Factor 1/4*m**2 + 4 + z*m.
(m + 4)**2/4
Let b(x) = -x**2 - 19*x - 39. Let n be b(-13). Suppose 67*u**2 - u - n*u**2 - 5*u - 4 + 30*u**3 = 0. What is u?
-1, -1/3, 2/5
Suppose 28*a**3 - 34*a**3 - 28*a**2 + 2*a**4 - 4*a**2 - 24*a = 0. What is a?
-2, -1, 0, 6
Let b(t) be the first derivative of 3*t**5 + 5*t**4 + 0*t - 5*t**2 - 25/3*t**3 + 1. Solve b(r) = 0.
-2, -1/3, 0, 1
Let h be (-2)/(-6) - 0/1. Let y = -25138/3 + 8380. Factor -y - z - h*z**2.
-(z + 1)*(z + 2)/3
Let x = -2030/3 - -632. Let k = -44 - x. Factor k - 10/9*i + 2/9*i**2 + 2/9*i**3.
2*(i - 1)**2*(i + 3)/9
Let b(j) = j + 19. Let x be b(-14). Suppose x*l + 9 - 24 = 0. Suppose 1 - 49/4*u**5 - 6*u + 73/4*u**l - 21/4*u**4 + 17/4*u**2 = 0. Calculate u.
-1, 2/7, 1
Let f be (-3)/(-2)*8/6. Suppose f*t - 4 = -2*t - j, 2*j = -4*t. Factor 0*m**2 + 9*m + m**t + 2*m**2 + 6.
3*(m + 1)*(m + 2)
Let m = 34 - 31. Solve -j**3 + m*j**4 - 2*j**4 - 2*j**3 + 4*j + 0*j**4 = 0.
-1, 0, 2
Let d(y) be the first derivative of y**4/4 - 16*y**3/3 + 77*y**2/2 - 98*y - 74. Suppose d(r) = 0. Calculate r.
2, 7
Suppose 2*u + 7 = 5*b - 26, -2*b + 9 = -5*u. Let a(q) be the first derivative of b + 0*q**2 - 12*q + 3/2*q**4 - 9/5*q**5 + 9*q**3. Let a(v) = 0. What is v?
-1, 2/3, 2
Determine y, given that 88/3*y + 2/3*y**2 + 86/3 = 0.
-43, -1
Let q = -318 - -324. Let c(a) be the first derivative of 0*a**2 - 2/9*a**3 - 1/4*a**4 - 1/15*a**5 + q + 0*a. Solve c(u) = 0 for u.
-2, -1, 0
Let r(q) be the second derivative of -q**4/72 - 2*q**3/9 + 3*q**2/4 - 74*q. Factor r(a).
-(a - 1)*(a + 9)/6
Let t(j) be the first derivative of -1/90*j**6 + 11/3*j**3 - 8 - 2/27*j**4 + 0*j + 2/45*j**5 + 0*j**2. Let l(k) be the third derivative of t(k). Factor l(i).
-4*(3*i - 2)**2/9
Let f(g) be the third derivative of 0 - 1/3*g**4 - 1/30*g**6 + 0*g**3 + 1/5*g**5 + 20*g**2 + 0*g. Find m such that f(m) = 0.
0, 1, 2
Suppose -4*j - 5*t + 220 = -3*t, 41 = j + 4*t. Suppose 2*a = 5*a - j. Solve 18 - o**2 - o - a - 2*o**2 + o**3 + 4*o = 0 for o.
1
Factor 52/9 - 2/9*r**2 + 50/9*r.
-2*(r - 26)*(r + 1)/9
Let s(b) be the third derivative of 0 - 1/840*b**7 + 22*b**2 + 1/96*b**5 + 0*b + 1/960*b**6 + 1/96*b**4 + 0*b**3. Factor s(j).
-j*(j - 2)*(j + 1)*(2*j + 1)/8
Suppose t - 7 = -1. Let l(n) = -12*n + 58. Let m be l(4). Solve 10*a**2 - 6*a**2 - m - t = 0 for a.
-2, 2
Let j(n) be the first derivative of -n**3/3 - 31*n**2/2 - 302. Factor j(l).
-l*(l + 31)
Suppose -4*p = 5*m - 13, 0*m + 2 = 2*m. Suppose p*c + 7 = 5*r - 0*r, -2*r = -2*c + 2. Solve 0 + 0*n + 4/5*n**c - 2/5*n**3 + 6/5*n**5 + 0*n**2 = 0 for n.
-1, 0, 1/3
Let b(x) be the third derivative of 13*x**2 - 2/3*x**4 + 0*x + 0 + 2*x**3 + 1/15*x**5. Factor b(s).
4*(s - 3)*(s - 1)
Factor 27*l**3 + 145*l + 18*l**3 - 50*l**3 - 21*l**2 - 69 - 6 - 44*l**2.
-5*(l - 1)**2*(l + 15)
Let v(w) be the first derivative of 7*w**4/8 - 31*w**3/2 + 13*w**2/2 + 9. What is h in v(h) = 0?
0, 2/7, 13
Suppose 87*o + 260 = 139*o. Factor 14/5*s**4 - 4/5*s - 6/5*s**2 + 6/5*s**3 + 6/5*s**o + 0.
2*s*(s + 1)**3*(3*s - 2)/5
Let o(j) be the second derivative of -3/140*j**5 + 0 + 12*j - 5/14*j**4 + 0*j**2 - 25/14*j**3. Determine q so that o(q) = 0.
-5, 0
Let i = -30/841 - -1892/5887. Solve 0 - 1/7*f**3 + i*f - 1/7*f**2 = 0.
-2, 0, 1
Let k(i) = 7*i**4 + 111*i**3 - 184*i**2 - 6*i. Let o(a) = 2*a**4 + a**3 + a**2 - a. Let x(p) = k(p) - 6*o(p). Let x(t) = 0. What is t?
0, 2, 19
Let h(v) = 4*v**3 + 25*v**2 + 38*v + 10. Let c be h(-4). Determine z so that 0*z**c + 2/11*z**3 + 0 - 1/11*z**4 + 0*z = 0.
0, 2
Let m(j) be the first derivative of 1/2*j**2 - 1/90*j**5 + 0*j + 0*j**3 + 0*j**4 + 1/180*j**6 + 6. Let k(l) be the second derivative of m(l). Solve k(s) = 0.
0, 1
Let i(p) = -4*p**2 - 12*p + 7. Let d be i(5). Let k = d + 771/5. Find x, given that k - 3/5*x - 3/5*x**2 = 0.
-2, 1
Let o be (-12)/(-1) - (4 - 0). Suppose -i + o = 3*i. Determine h, given that 24*h**5 +