3. Let o(b) be the first derivative of r(b). Factor o(n).
2*(n + 1)*(7*n + 2)/7
Suppose 2*z - 26 = 4*t - 48, 4*z + 5 = -5*t. Suppose 0*y + 9/2*y**3 + 0 + 0*y**4 - t*y**2 - 3/2*y**5 = 0. What is y?
-2, 0, 1
Let x be -1*(-7 + (2 - -4)). Let s(o) be the first derivative of x + 0*o**5 + 0*o**2 - 2/3*o**6 + 8/3*o**3 + 0*o + 3*o**4. Factor s(w).
-4*w**2*(w - 2)*(w + 1)**2
Let g(i) be the third derivative of -i**9/544320 + i**8/181440 + i**7/9072 + i**6/2160 - i**5/3 + 9*i**2. Let u(w) be the third derivative of g(w). Factor u(l).
-(l - 3)*(l + 1)**2/9
Let i(b) = b**2 + 10*b + 10. Let u be i(-10). Factor -62*f**4 - u*f**2 - 18*f**4 + 13*f**5 + 22*f**5 + 55*f**3.
5*f**2*(f - 1)**2*(7*f - 2)
Suppose 5*d = 3*d + o + 5, d = 3*o. Let l(k) be the first derivative of 1/4*k**4 + 0*k**d - 1/2*k**2 - 1 + 0*k. Suppose l(i) = 0. Calculate i.
-1, 0, 1
Let y(d) be the third derivative of -d**6/180 - 71*d**5/90 + 145*d**4/36 - 73*d**3/9 - 62*d**2 - 2. Factor y(l).
-2*(l - 1)**2*(l + 73)/3
Suppose -2*o + 31 = 5*x, -3*x - 2*x + 37 = 4*o. What is q in o*q**2 + 3*q**5 - 178*q - 6*q**4 + 175*q + 3*q**2 = 0?
-1, 0, 1
Let u = 280 + -274. Suppose -15 = -2*o + 5*b, -u = 5*o + 14*b - 12*b. Solve 0*t**4 - 12/7*t**3 + 4/7*t**5 + o*t - 8/7*t**2 + 0 = 0.
-1, 0, 2
Let o(a) be the first derivative of -a**4/4 - 5*a**3/3 - 73. Determine b so that o(b) = 0.
-5, 0
Let g(n) = 5*n**4 + 66*n**3 + 37*n**2 - 19*n. Let k(d) = 2*d**4 + 33*d**3 + 19*d**2 - 9*d. Suppose 92*u = 95*u + 15. Let q(z) = u*k(z) + 3*g(z). Factor q(w).
w*(w + 1)*(w + 6)*(5*w - 2)
Let c(g) = 73*g**2 + 58*g + 14. Suppose 0 = 4*h - 7 + 3. Let l be -3*2 + 0 - h. Let p(k) = 218*k**2 + 173*k + 43. Let f(j) = l*c(j) + 2*p(j). Factor f(i).
-3*(5*i + 2)**2
Let d = 20126/7 - 2874. Let -40/7*h + 50/7*h**2 + d = 0. Calculate h.
2/5
Let l(h) be the third derivative of h**8/43680 - h**7/16380 - 3*h**4/8 - 12*h**2. Let g(o) be the second derivative of l(o). Let g(y) = 0. What is y?
0, 1
Let i(n) = -n**3 + n**2. Let r(p) = 25*p**3 - 20*p**2 - 15*p - 10. Let k = 39 + -19. Let a(j) = k*i(j) + r(j). Factor a(o).
5*(o - 2)*(o + 1)**2
Let j = 35462 + -35462. Factor -c + 1/4*c**2 - 1/4*c**4 + j + c**3.
-c*(c - 4)*(c - 1)*(c + 1)/4
Let w(j) be the first derivative of -j**6/30 - j**5/12 - j**4/36 + j**3/18 + 11*j - 15. Let g(r) be the first derivative of w(r). Suppose g(s) = 0. What is s?
-1, 0, 1/3
Let q be (2/(-3))/((-1)/3). Let p be (-3612)/(-924) + 18/(-66). Factor -50/11*g**q + p*g - 8/11.
-2*(5*g - 2)**2/11
Let a be (-9)/((45/(-70))/3). Let d be (94/(-78))/((-14)/a) - 3. Determine y so that 0 + 24/13*y**2 + d*y + 2*y**3 + 2/13*y**5 + 12/13*y**4 = 0.
-2, -1, 0
Let p(q) be the first derivative of q**5/30 - q**4 + 12*q**3 + 3*q**2 - 1. Let w(x) be the second derivative of p(x). What is i in w(i) = 0?
6
Let u = -1/1932 + 1087/483. Factor -3/4*x + 3/4*x**3 + u*x**2 - 9/4.
3*(x - 1)*(x + 1)*(x + 3)/4
Let m = -23425 + 23432. Factor 16*t**2 - m - 23/2*t + 5/2*t**3.
(t - 1)*(t + 7)*(5*t + 2)/2
Let r(j) be the second derivative of j**4/12 - j**3/2 - 2*j**2 - 14*j. Let k be r(4). Solve 0 - 1/2*p**4 + k*p - p**2 + 3/2*p**3 = 0 for p.
0, 1, 2
Let y be (1 - 3/(33/11))/(-3 - -2). Factor 0*f + y - 1/2*f**3 + 1/4*f**4 + 1/4*f**2.
f**2*(f - 1)**2/4
Let q(n) = n**3 + 10*n**2 + 26*n - 4. Let i be q(-4). Let p be (-1 - -1) + 2 + 2/i. Let -3/2*f**4 - 1/3*f**2 + p*f**3 + 0*f + 0 = 0. What is f?
0, 2/9, 1
Let d be (-16)/18*27/(-36). Determine l so that d*l**3 + 0 - 2/3*l**4 - 2/3*l + 2/3*l**2 = 0.
-1, 0, 1
Let o = -1/26246 + 26249/78738. What is x in -2/3*x**3 + o + 0*x**2 + 2/3*x - 1/3*x**4 = 0?
-1, 1
Let a(b) be the third derivative of -b**7/1120 - 7*b**6/1440 - b**5/240 - b**3/3 - 3*b**2. Let p(f) be the first derivative of a(f). Let p(o) = 0. Calculate o.
-2, -1/3, 0
Let y(m) = m**5 - 16*m**4 + 95*m**3 - 65*m**2 - 96*m + 84. Let n(a) = -a**4 + a**3 + a**2 - a - 1. Let v(g) = 3*n(g) + y(g). Find q, given that v(q) = 0.
-1, 1, 9
Let x be (-1 + 0)*-5*1. Factor 0 - 3*i**2 + x*i**2 - 2.
2*(i - 1)*(i + 1)
Let m(z) be the first derivative of -z**6/15 - 34*z**5/75 - 11*z**4/15 - 16*z**3/45 + 92. What is v in m(v) = 0?
-4, -1, -2/3, 0
Let r be 1/(-4) + (-273)/(-84). Suppose 0 = 2*n + r*n - 195. Factor -64*g + 48*g**2 - 7 + 2*g**4 + 9*g**3 + n - 25*g**3.
2*(g - 2)**4
Let l(y) be the first derivative of y**4/24 + 17*y**3/18 + 20*y**2/3 + 32*y/3 + 114. What is v in l(v) = 0?
-8, -1
Let h(o) be the second derivative of -o**7/1008 + o**6/288 - 13*o**4/12 + 18*o. Let t(v) be the third derivative of h(v). Factor t(d).
-5*d*(d - 1)/2
Let q(j) be the first derivative of 13*j**6/3 - 81*j**5/5 + 87*j**4/4 - 35*j**3/3 + 3*j**2/2 - 57. Let q(v) = 0. Calculate v.
0, 3/26, 1
Let d = -13282 - -13284. What is a in -3/8*a + 1/8*a**d - 1/2 = 0?
-1, 4
Suppose 4*g - 2*g - 12 = 0. Let r be 14/g + 12/18. Factor -6*b**2 - r*b - 3*b**2 - 4*b + 2.
-(b + 1)*(9*b - 2)
Determine k so that -4/5*k - 16/5 - 1/5*k**4 - 1/5*k**3 + 12/5*k**2 = 0.
-4, -1, 2
Let v(u) be the second derivative of u**4/3 + 25*u**3/18 + u**2/3 - 2*u + 9. Find x, given that v(x) = 0.
-2, -1/12
Let x(y) be the second derivative of -y**6/720 - y**5/120 + y**3/9 + 25*y**2/2 - 7*y. Let p(h) be the first derivative of x(h). Factor p(z).
-(z - 1)*(z + 2)**2/6
Let x(t) = -3*t**5 - 52*t**4 - 733*t**3 - 2*t**2 - 2*t + 2. Let y(q) = -4*q**5 - 51*q**4 - 735*q**3 - 3*q**2 - 3*q + 3. Let g(s) = 6*x(s) - 4*y(s). Factor g(h).
-2*h**3*(h + 27)**2
Let d(c) = 51*c - 457. Let u be d(9). Factor 10*h**u + 2/3 - 14/3*h - 6*h**3.
-2*(h - 1)*(3*h - 1)**2/3
Let u(v) = v**2 + 2*v + 1. Let w(r) = 6*r**2 + 13*r + 9. Let h(j) = 21*u(j) - 3*w(j). Factor h(g).
3*(g - 1)*(g + 2)
Let r(m) be the third derivative of m**5/12 + 895*m**4/12 + 160205*m**3/6 + 711*m**2. Factor r(y).
5*(y + 179)**2
Let v(r) be the second derivative of r**4/2 - 20*r**3/3 + 100*r**2/3 - 3*r + 27. Factor v(o).
2*(3*o - 10)**2/3
Let v(j) = j**3 + 19*j**2 + 14*j - 70. Let u be v(-18). Let g be (2/(-8) + 1)*4. Let -7*p**u - 2*p**2 + 9*p**3 - 3*p**4 + g*p**2 = 0. What is p?
0, 1, 2
Let g(r) be the first derivative of -r**6/60 + r**4/12 - r**2/4 - 8*r + 8. Let x(j) be the first derivative of g(j). Factor x(b).
-(b - 1)**2*(b + 1)**2/2
Suppose 2*a - 8*a = -24. Solve -4*j - 3*j**3 + 2*j**3 - 9*j**2 + 9*j**4 + 3*j**5 + a*j**3 - 2*j = 0 for j.
-2, -1, 0, 1
Let t(l) be the first derivative of l**6/900 - 3*l**2 + 5. Let x(p) be the second derivative of t(p). Factor x(d).
2*d**3/15
Let w(g) be the third derivative of -g**8/6720 + 2*g**7/105 - 16*g**6/15 + 13*g**5/15 + 35*g**2. Let u(s) be the third derivative of w(s). Factor u(m).
-3*(m - 16)**2
Let j be (-6 - (-35)/7)*-3. Let b(s) be the first derivative of -1/6*s**4 - 6 + 1/3*s**2 + 0*s + 0*s**j. Let b(q) = 0. Calculate q.
-1, 0, 1
Let l(h) be the third derivative of h**6/660 + h**5/330 - h**4/22 - 18*h**2 - h. Factor l(v).
2*v*(v - 2)*(v + 3)/11
Factor -3/4 + 3/8*p**4 - 9/8*p**3 + 3/8*p**2 + 9/8*p.
3*(p - 2)*(p - 1)**2*(p + 1)/8
Let y(t) = 2*t**2 - 6*t + 4. Let s(d) = -3*d**2 + d - 1. Let n be s(1). Let m(u) = u**2 + u. Let c(v) = n*y(v) + 15*m(v). Solve c(a) = 0.
-4, 1/3
Let b = -289 + 294. Let d(z) be the first derivative of -3*z**2 + 3/5*z**b - 8 + 5*z**3 + 0*z - 3*z**4. Factor d(m).
3*m*(m - 2)*(m - 1)**2
Factor -2/9*t**3 + 0 - 2/9*t - 4/9*t**2.
-2*t*(t + 1)**2/9
Let i be 0/1 + 2/6. Let s be ((-6)/(-24)*4 - -3)/2. Factor 1/3*z**3 + 0 + 1/3*z**s - 1/3*z**4 - i*z.
-z*(z - 1)**2*(z + 1)/3
Factor 80/7*q**2 - 148/7*q + 72/7 - 4/7*q**3.
-4*(q - 18)*(q - 1)**2/7
Let n(j) = -3*j**2 - 68*j + 1600. Let l(c) = -2*c**2 - 71*c + 1600. Let s(w) = -4*l(w) + 3*n(w). Factor s(b).
-(b - 40)**2
Let g be (-15)/6 + (-2)/(-1 - -5). Let j(o) = o**2 + o - 6. Let b be j(g). Determine t, given that b - 1/2*t + 1/2*t**2 = 0.
0, 1
Let o(f) = -2*f**3 + f. Suppose -6*d - 3*g + 11 = -2*d, -g = 5*d. Let w be o(d). Determine q, given that w - 1 + 17*q**2 - 16*q**2 = 0.
0
Determine r, given that -8/5*r**4 + 112/5*r**2 + 92/5*r**3 - 4/5*r**5 - 448/5*r + 256/5 = 0.
-4, 1, 4
Suppose -5*v - 28 + 70 = u, v - 12 = -2*u. Let j be v/2 + (7 - 5). Let y(i) = -3*i**2 + 3. Let a(r) = 3*r**2 + r - 2. Let d(f) = j*a(f) + 5*y(f). Factor d(x).
3*(x + 1)**2
Let j = -472 + 295. Let o = j - -891/5. Factor -o*b**2 + 8/5 - 8/5*b + 2/5*b**4 + 4/5*b**3.
2*(b - 1)**2*(b + 2)**2/5
Let l(u