*n**2 + 56. Determine u, given that j(u) = 0.
-1, -1/4, 0, 2
Suppose -3*y + 4*y = -4, y + 12 = 4*o. Let k = -4404/31 + 30921/217. What is u in 3/7*u**o + 0 - k*u = 0?
0, 1
Let a(z) be the first derivative of -3 + 1/2*z**2 + 0*z + 1/150*z**5 + 0*z**3 - 1/30*z**4 + 1/300*z**6. Let c(u) be the second derivative of a(u). Factor c(d).
2*d*(d - 1)*(d + 2)/5
Let w(v) be the third derivative of 169*v**6/720 + 13*v**5/40 + 3*v**4/16 - 10*v**3/3 - 25*v**2. Let j(q) be the first derivative of w(q). Factor j(r).
(13*r + 3)**2/2
Let c(n) = -2*n**2 + n - 6. Let k(t) be the second derivative of -t**4/12 - 5*t**2/2 - 9*t. Let r(g) = -4*c(g) + 6*k(g). Suppose r(m) = 0. What is m?
-1, 3
Factor -4*o**3 - 4*o**4 + 22 - 20 - 4*o**5 - o**5 + 4*o**5 + 5*o + 2*o**2.
-(o - 1)*(o + 1)**3*(o + 2)
Suppose 23/10*a**3 + 26/5*a**2 - 8/5 + 14/5*a + 3/10*a**4 = 0. What is a?
-4, -2, 1/3
Find u, given that -3*u**4 - 6*u**4 - 43*u + 3 + 3*u**2 + 3*u**5 + 3*u**2 + 6*u**3 + 74*u - 40*u = 0.
-1, 1
Suppose -2*i + 12 = i. Factor 93 - 2*s**i - 93 + 6*s**2 + 4*s.
-2*s*(s - 2)*(s + 1)**2
Suppose -7*t + 2*t + 5*o = -35, -3*o = -2*t + 19. Suppose t*b - b - 6 = 0. Suppose b*p**2 - 14*p + 14*p**3 + 6*p**4 - 3 - 8*p**2 + 2 - 3 = 0. What is p?
-2, -1, -1/3, 1
Let r(h) be the first derivative of h**5/90 + h**4/18 + h**3/9 + h**2/9 + 2*h + 4. Let l(j) be the first derivative of r(j). Find d, given that l(d) = 0.
-1
Suppose 0 = -77*w + 80*w - 6. Let z(q) be the first derivative of -2/9*q**3 + 0*q - 1/3*q**w - 2. Determine l so that z(l) = 0.
-1, 0
Let h(j) be the first derivative of -j**6/240 + j**4/4 + 4*j**3/3 + j**2 + 14*j + 37. Let g(s) be the second derivative of h(s). Suppose g(q) = 0. Calculate q.
-2, 4
Let m(l) be the first derivative of 2*l**5/45 + l**4/6 - 4*l**3/3 + 4*l**2/9 + 16*l/3 - 543. Find w, given that m(w) = 0.
-6, -1, 2
Let r(d) be the first derivative of -d**5/50 + 2*d**4/15 - d**3/3 + 2*d**2/5 + 16*d + 2. Let z(y) be the first derivative of r(y). Determine n so that z(n) = 0.
1, 2
Suppose 0 = -q + 5*w + 4, 4*q - 4*w = -0*q + 16. Let r(t) = -t**2 + 5*t - 2. Let x be r(q). Let 3*v**3 + 3 - 3 + v**3 - 2*v**2 - x*v**4 = 0. What is v?
0, 1
Find z such that -27 + 1/6*z**3 - 10/3*z**2 + 39/2*z = 0.
2, 9
Let y = -1892 + 1896. Let z(i) be the second derivative of 0 + 0*i**3 + 0*i**2 + 1/36*i**y + 1/60*i**5 + 5*i. What is n in z(n) = 0?
-1, 0
Find l, given that -104/3*l - 2/3*l**2 - 1352/3 = 0.
-26
Let w be -17 - 12/(8/(-2)). Let t(s) = 20*s**3 - 80*s**2 + 94*s - 14. Let j(i) = 4*i**3 - 16*i**2 + 19*i - 3. Let r(f) = w*j(f) + 3*t(f). Factor r(z).
4*z*(z - 2)**2
Let j(n) be the third derivative of n**5/60 - 23*n**4/12 + 529*n**3/6 - 6*n**2 - 9*n. Factor j(t).
(t - 23)**2
Let l(q) be the first derivative of -2*q**5/25 - q**4 - 8*q**3/5 + 72*q**2/5 - 17. Factor l(r).
-2*r*(r - 2)*(r + 6)**2/5
What is g in -2/11*g**3 + 32/11 + 2/11*g**4 - 8/11*g - 24/11*g**2 = 0?
-2, 1, 4
Let s be 7 + (897/(-180) - 2). Let c(o) be the third derivative of -1/420*o**7 + 0*o + s*o**5 - 1/240*o**6 + 0*o**3 + 0*o**4 + 0 + 4*o**2. Factor c(k).
-k**2*(k - 1)*(k + 2)/2
Suppose -3*j = -3*f + 9, 32 - 41 = -f + 3*j. Factor -3/8*m**2 - 1/8*m + f.
-m*(3*m + 1)/8
Let o(z) be the first derivative of -z**6/480 + z**4/32 + z**3/12 - 2*z**2 - 12. Let y(w) be the second derivative of o(w). Factor y(u).
-(u - 2)*(u + 1)**2/4
Suppose 0 = -5*m, 0 = 2*i + 4*m + m + 78. Let y be i/(-12) + 2/(-8). Factor g + g**2 + 0*g**2 - 8*g + 4*g**2 - g**y + 3.
-(g - 3)*(g - 1)**2
Let c(d) be the third derivative of d**8/3360 - d**7/560 + d**6/360 - 5*d**3/3 + 10*d**2. Let g(v) be the first derivative of c(v). Factor g(p).
p**2*(p - 2)*(p - 1)/2
Suppose t + 0*t + 3 = 0, -3*t + 47 = 4*f. Suppose q - 2*o = o - 12, -2*q + 4*o = f. Factor 2/5*v**4 + 2/5*v**2 - 4/5 + 6/5*v**q - 6/5*v.
2*(v - 1)*(v + 1)**2*(v + 2)/5
Suppose -30011 - 1515 = -11*h. Let -3*l**4 - h*l**3 - 48*l**2 - l + l + 2842*l**3 = 0. Calculate l.
-4, 0
Let x be 42/(-105) + 54/10. Solve -i**4 + i**3 + i**4 + i**x - 2*i**4 = 0 for i.
0, 1
Suppose -26 - 199 = -5*v. Let o = 47 - v. Let -x**o + 1/3*x**3 - 1/3 + x = 0. Calculate x.
1
Factor -98*g - 5304 + 5*g**2 - 6*g**2 - 3912 + 112*g + 178*g.
-(g - 96)**2
Let x(b) be the second derivative of 5*b**4/12 + 50*b**3/3 + 95*b**2/2 + 382*b. Solve x(a) = 0 for a.
-19, -1
Let w(z) be the first derivative of -z**6/120 - z**5/30 + z**4/6 + 4*z**3/3 + 7*z**2/2 + 21. Let g(k) be the second derivative of w(k). Factor g(q).
-(q - 2)*(q + 2)**2
Let t(v) = -v**2 - 38*v + 129. Let m be t(3). Let h(s) be the first derivative of 0*s**3 - 1/3*s**m + 5 + 6/5*s**5 + 0*s - s**4 + 0*s**2. Factor h(z).
-2*z**3*(z - 2)*(z - 1)
Let y(r) = -r**2 + 12*r - 47. Let m(n) = 0*n - 9*n**2 + 234 + 14*n**2 - 27*n - 32*n. Let p(u) = -2*m(u) - 11*y(u). Determine t so that p(t) = 0.
7
Let l = 25146/7 - 3592. Suppose 2/7*z - 4/7 - l*z**3 + 4/7*z**2 = 0. Calculate z.
-1, 1, 2
Let l = 85 - 44. Determine y so that 25 - 110*y + 15*y**3 - 13*y**3 + l*y**2 - 6*y**3 = 0.
1/4, 5
Let c(r) = r**2 + 9*r - 16. Let k(b) = -3*b**2 - 28*b + 48. Let n(u) = -17*c(u) - 6*k(u). Let w(a) = 4*a - 4. Let j(h) = -2*n(h) + 9*w(h). Factor j(o).
-2*(o - 2)*(o - 1)
Let q(k) be the first derivative of -k**3/33 - 59*k**2/22 - 58*k/11 - 110. Factor q(m).
-(m + 1)*(m + 58)/11
Factor 8*a - 668*a**2 - 14*a**4 + 350*a**2 + 10*a**3 + 350*a**2.
-2*a*(a - 2)*(a + 1)*(7*a + 2)
Let y(s) be the second derivative of -s**4/48 - s**3/4 - 5*s**2/8 - 20*s - 5. Let y(q) = 0. Calculate q.
-5, -1
Factor 1/3*l**4 + 0 - 4/3*l**3 + 0*l**2 + 0*l.
l**3*(l - 4)/3
Let j(k) be the second derivative of k**5/5 - 58*k**4/3 + 1682*k**3/3 + 10*k + 3. Factor j(d).
4*d*(d - 29)**2
Let j(m) be the first derivative of m**8/2520 + m**7/630 + m**6/540 + 5*m**3/3 - 5. Let t(d) be the third derivative of j(d). What is u in t(u) = 0?
-1, 0
Factor -36/5*f - 108/5 - 3/5*f**2.
-3*(f + 6)**2/5
Let s(v) be the third derivative of 0*v**3 + 0*v**4 + 1/840*v**8 + 0*v**5 + 22*v**2 - 1/525*v**7 + 0*v**6 + 0 + 0*v. Find k, given that s(k) = 0.
0, 1
Let k(s) = 14*s**2 - 181*s - 31. Let w(o) = o**2 - o - 3. Let b(h) = 5*k(h) - 5*w(h). Factor b(x).
5*(x - 14)*(13*x + 2)
Let f(v) be the first derivative of 2*v**7/21 + 4*v**6/15 + v**5/5 - 7*v - 17. Let a(w) be the first derivative of f(w). Factor a(j).
4*j**3*(j + 1)**2
Let d(w) be the first derivative of w**6/6 - w**5/40 - 7*w**4/24 - w**3/6 - 10*w + 1. Let t(k) be the first derivative of d(k). Find p such that t(p) = 0.
-1/2, -2/5, 0, 1
Suppose -24/5*b - 18/5*b**3 + 0 + 2/5*b**5 + 46/5*b**2 - 6/5*b**4 = 0. What is b?
-3, 0, 1, 4
Let x(t) be the second derivative of -16*t + 0*t**3 - 3/2*t**2 + 1/4*t**4 + 0. Determine c, given that x(c) = 0.
-1, 1
Let p(q) be the first derivative of -49*q**4/10 - 532*q**3/15 + 164*q**2/5 - 48*q/5 + 66. Factor p(b).
-2*(b + 6)*(7*b - 2)**2/5
Let t(v) be the second derivative of 7/90*v**6 + 0 + 1/3*v**2 - 5/18*v**3 - 1/4*v**4 + 9*v + 1/12*v**5. Solve t(a) = 0 for a.
-1, 2/7, 1
Find r, given that r**2 - 1/2*r**5 + 27/2*r - 15/2*r**4 - 13*r**3 + 13/2 = 0.
-13, -1, 1
Let r = -339 - -344. Suppose -r*s + 16 = o - 3*o, -o + 14 = 3*s. Factor 0 + 2/5*c**o + 0*c.
2*c**2/5
Let v(q) = q + 1. Let l = -43 + 55. Let f(j) = -2*j**2 - 24*j - 28. Let a(y) = l*v(y) + f(y). Factor a(g).
-2*(g + 2)*(g + 4)
Suppose -14*s + 18 = -11*s. Suppose 24*q - 54 = s*q. Factor 5/6*o + 1/6*o**q - 1/3 - 2/3*o**2.
(o - 2)*(o - 1)**2/6
Let h(k) be the first derivative of -3*k**6 - 32*k**5/5 + 56*k**4 + 92*k**3 - 279*k**2 + 108*k - 263. Let h(m) = 0. Calculate m.
-3, 2/9, 1, 3
Let u = 192/161 - -12/23. Factor -u*i - 8/7 - 4/7*i**2.
-4*(i + 1)*(i + 2)/7
Let w(c) be the first derivative of c**8/2940 - c**6/210 - c**5/105 - 18*c**3 + 31. Let p(r) be the third derivative of w(r). Suppose p(i) = 0. What is i?
-1, 0, 2
Let m(r) be the second derivative of -r**5/5 + 2*r**4/3 + 2*r**3/3 - 4*r**2 - 3*r - 9. Factor m(a).
-4*(a - 2)*(a - 1)*(a + 1)
Let g be ((-1)/(-3))/(-1) - 156/(-36). Factor -6 + 12*n**2 - 2*n**2 - g + 3*n**3 + 5*n - 8*n**3.
-5*(n - 2)*(n - 1)*(n + 1)
Let j(u) = -u**2 + 81. Let o be j(9). Let l be (-91)/(-44) + 6/33. Let -3/2*p**2 + o*p - 3/4*p**4 + 0 + l*p**3 = 0. Calculate p.
0, 1, 2
What is q in 0*q**2 + 2/9*q**5 + 8/9*q**3 - 10/9*q**4 + 0*q + 0 = 0?
0, 1, 4
Let h(x) be the second derivative of x