s) = 17*j(s) - 6*r(s). Factor i(w).
3*(w - 2)**2
Factor 4*j**4 + 16*j + 11*j**3 + 50*j**2 + 9*j**3 - 18*j**2 + 0*j**2.
4*j*(j + 1)*(j + 2)**2
Let n be ((-6)/(-5 - -17)*0)/(-2). Let o(d) be the second derivative of 1/8*d**4 + n*d**2 - 7*d + 0*d**3 + 0. Factor o(c).
3*c**2/2
Let o(q) be the second derivative of q**5/20 - q**4/12 - 11*q**3/2 - 63*q**2/2 + 109*q. Factor o(m).
(m - 7)*(m + 3)**2
Suppose -4*z - 26 = -5*o, 3*o - 4*z = 4*o + 14. Suppose 37*y = -5*g + 40*y + 46, 22 = 3*g + y. Let -3*u + u**3 - 3*u**2 + 4 + g*u**o + 6*u + 5*u = 0. What is u?
-2, -1
Let d(i) be the third derivative of i**6/120 - 17*i**5/60 + 21*i**4/8 + 27*i**3/2 + 180*i**2. Factor d(f).
(f - 9)**2*(f + 1)
Let v be 32/12*(-477)/(-1). Factor 3*h**4 + 0*h + 0*h - 1224 + v - 24*h**2.
3*(h - 2)**2*(h + 2)**2
Let u(y) be the second derivative of -y**5/12 - 5*y**4/12 - 5*y**3/6 - 19*y**2/2 - 25*y. Let h(q) be the first derivative of u(q). Factor h(b).
-5*(b + 1)**2
Let q(m) = -m**3 - 4*m**2 + 4*m - 3. Let d be q(-5). Suppose 17 = 3*s + 5*u - 2, -2*u = 4*s - 16. Factor 3*k**2 - k**4 + k**3 + k + d*k**4 + 2*k**s.
k*(k + 1)**3
Let w(f) be the second derivative of 0 + 8*f - 5/3*f**3 - 1/6*f**4 - 6*f**2. Factor w(d).
-2*(d + 2)*(d + 3)
Let l(y) be the second derivative of -9/2*y**2 + 1/8*y**4 + 1/6*y**3 + 6*y + 1/120*y**6 + 1/20*y**5 + 0. Let o(w) be the first derivative of l(w). Factor o(b).
(b + 1)**3
Let x = 188/445 - 2/89. Let m(o) be the first derivative of -1/10*o**4 + 2/5*o**3 + x*o - 3/5*o**2 + 3. Suppose m(r) = 0. Calculate r.
1
Let r = -12/677 - -21700/2031. Let -34/3*h**2 - 10/3*h**3 - r*h - 8/3 = 0. What is h?
-2, -1, -2/5
Let i(k) be the first derivative of k**7/630 - k**6/270 - k**5/90 + k**4/18 - 3*k**3 - 14. Let b(x) be the third derivative of i(x). Factor b(v).
4*(v - 1)**2*(v + 1)/3
Let j(p) be the second derivative of 2*p**3 - 6*p**2 - 3/20*p**5 + 0 + 11*p + 1/4*p**4. Find f such that j(f) = 0.
-2, 1, 2
Let n(o) be the first derivative of -24 - 5/4*o**4 + 5/2*o**2 - 10/3*o**3 + 10*o. Suppose n(i) = 0. What is i?
-2, -1, 1
Let f(v) be the first derivative of v**7/105 + 2*v**6/75 + v**5/50 - 45*v - 58. Let l(y) be the first derivative of f(y). Suppose l(m) = 0. What is m?
-1, 0
Find a, given that 3 - 7*a - 5/4*a**4 + 11/2*a**3 - 13/4*a**2 = 0.
-1, 2/5, 2, 3
Let c(u) = 5*u**2 + 225*u - 234. Let q(j) = 11*j**2 + 450*j - 471. Let k(i) = 5*c(i) - 2*q(i). Let k(z) = 0. What is z?
-76, 1
Let g(p) = 4*p**2 - 24*p + 38. Let w be g(3). What is x in x + 1/4*x**w + 0 = 0?
-4, 0
Find h, given that 6*h - 3*h**3 + 2*h**3 - 3*h**2 - 2622 + 2630 = 0.
-4, -1, 2
Let i = 681/2756 + 2/689. Let c(n) be the second derivative of 9/8*n**2 + 0 + 1/48*n**4 + i*n**3 + n. Factor c(h).
(h + 3)**2/4
Let k(w) be the third derivative of w**5/12 - 65*w**4/12 + 845*w**3/6 - 3*w**2 - 2*w. Factor k(o).
5*(o - 13)**2
Find c such that 57/4*c**2 - 45/4*c - 21/4 + 9/4*c**3 = 0.
-7, -1/3, 1
Let k(w) = -4*w**3 + 4*w**2 + 4*w. Let x(u) = u**2 + u. Let q(r) = -r**3 - 7*r**2 - 12*r - 9. Let j be q(-5). Let b(f) = j*k(f) - 4*x(f). Factor b(p).
-4*p**3
Let u(n) be the third derivative of -19*n**2 - 1/24*n**4 + 2/3*n**3 - 1/4*n**5 + 0*n + 1/56*n**8 + 0 + 11/210*n**7 - 1/24*n**6. Let u(m) = 0. Calculate m.
-4/3, -1, 1/2, 1
Let s(c) be the first derivative of c**6/12 + 26*c**5/15 + 17*c**4/24 - 322. Factor s(r).
r**3*(r + 17)*(3*r + 1)/6
What is c in -2/13*c**2 - 64082/13 - 716/13*c = 0?
-179
Let i(b) = -b**4 + 7*b**3 - 18*b**2 - 6*b + 22. Let l(q) = 5*q**4 - 34*q**3 + 90*q**2 + 31*q - 109. Let t(g) = 11*i(g) + 2*l(g). Find d, given that t(d) = 0.
-1, 2, 6
Factor 12 - 6*c**4 - 3*c**3 + 5*c**4 + 4347*c + 9*c**2 - 4324*c.
-(c - 3)*(c + 1)**2*(c + 4)
Solve 19/5*y + 0 - 1/5*y**2 = 0.
0, 19
Let t(d) be the second derivative of d**8/20160 + d**7/2520 + d**6/1080 - 7*d**4/12 - 5*d. Let y(a) be the third derivative of t(a). What is r in y(r) = 0?
-2, -1, 0
Solve -2*g - 6/13*g**3 - 46/13*g**2 + 14/13 = 0.
-7, -1, 1/3
Let 240*c**2 + 44*c + 1 + 43*c - 1 - 239*c**2 = 0. Calculate c.
-87, 0
Let a = -325/4 - -82. Factor a*w + 0 + 0*w**2 - 3/4*w**3.
-3*w*(w - 1)*(w + 1)/4
Let d be 2/17 + 8/(-68) - -4. Let k(s) be the first derivative of 0*s**2 - 10 + 0*s + 3/4*s**d - 3/5*s**5 - 1/2*s**6 + s**3. Factor k(o).
-3*o**2*(o - 1)*(o + 1)**2
Let s(n) be the first derivative of n**5/30 - 5*n**4/24 - 7*n**3/3 - 19*n**2/3 - 20*n/3 - 165. Factor s(y).
(y - 10)*(y + 1)*(y + 2)**2/6
Let d(k) = -k**4 + k**2 + k - 2. Let x(f) = -12*f**4 - 8*f**3 + 8*f**2 + 8*f - 16. Let g(b) = -8*d(b) + x(b). Factor g(l).
-4*l**3*(l + 2)
Let r(d) be the second derivative of d**4/12 + 34*d**3/3 + 578*d**2 + 161*d. Solve r(q) = 0 for q.
-34
Let f(q) be the first derivative of 5*q + 1/80*q**5 + 1/48*q**4 + 0*q**3 + 1 + 0*q**2. Let i(z) be the first derivative of f(z). Factor i(p).
p**2*(p + 1)/4
Let p(u) be the first derivative of -4*u**3/15 - 128*u**2/5 - 4096*u/5 + 102. Determine q so that p(q) = 0.
-32
Let g be (15/(-3750))/((-48)/20). Let r(l) be the third derivative of 0*l + 0 - g*l**6 + 0*l**3 + 0*l**4 + 0*l**5 + 8*l**2 + 1/1050*l**7. Solve r(j) = 0 for j.
0, 1
Let l(k) be the first derivative of 3*k**5/10 - 15*k**4/8 - 16*k**3 - 27*k**2 - 158. Determine v, given that l(v) = 0.
-2, 0, 9
Let u = -2/27957 - -74554/27957. Solve 0 + 4/3*q**4 + 2/3*q**5 - 16/3*q**2 + 0*q - u*q**3 = 0.
-2, 0, 2
Let d(l) = l**2 - 8*l + 11. Let u be d(8). Suppose -n = x - u, 5*x - n - 19 = x. Factor -9*v**3 + 3*v - 15*v**2 - x*v + 6 - 3.
-3*(v + 1)**2*(3*v - 1)
Let s be (2/4)/((-25)/(-200)). Determine j so that 0 - 5/3*j**4 - s*j**3 + 0*j - 4/3*j**2 = 0.
-2, -2/5, 0
Let n = -67437 - -604766/9. Let i = 241 + n. Factor -i*l**2 - 2/9*l + 0 + 2/9*l**3 + 2/9*l**4.
2*l*(l - 1)*(l + 1)**2/9
Solve 75*n**3 + 75*n**3 + 55*n - 151*n**3 - 8*n**2 - 46*n**2 = 0.
-55, 0, 1
Suppose 242 = 9*m - 271. Let i = m - 57. Factor i + 2/7*g**3 + 0*g + 0*g**2.
2*g**3/7
Suppose 4 = -y + 6. Suppose -4*i + 2 = -3*b, -7*i + y*i + 14 = 2*b. Determine g so that 1/3*g**3 - 2*g**b + 0 + 3*g = 0.
0, 3
Let p be (-4)/10 + 688/20 + -4. Determine u so that 3*u**5 - 5*u - 5*u**5 + 10*u**3 - 3*u**5 + 15 - p*u**2 + 15*u**4 = 0.
-1, 1, 3
Factor -17*j**2 + 41772 - 27*j**2 - 708*j + 47*j**2.
3*(j - 118)**2
Suppose 3*d + 3*u - 28 = -d, 0 = -4*d + 4*u. Factor -10*v**2 - 2*v**5 - 3*v**5 + v**d + 15*v**3 - v**4.
-5*v**2*(v - 1)**2*(v + 2)
Let s(d) = 64*d - 4286. Let v be s(67). Factor -9/4*h**v + 0 + 3/2*h.
-3*h*(3*h - 2)/4
Let c(k) be the second derivative of 3*k**5/20 - k**4/12 - k**3/2 + 3*k**2 - 14*k. Let t(m) = m**2. Let h(b) = -c(b) + 5*t(b). Suppose h(o) = 0. What is o?
-1, 1, 2
Let v be -10 + -134*(-11)/143. Factor -v - 8/13*c**2 + 2/13*c**3 + 10/13*c.
2*(c - 2)*(c - 1)**2/13
Let j = -186 - -192. Let d(a) be the third derivative of a**2 + 0*a**3 - 1/90*a**5 + 1/180*a**j + 0*a - 1/504*a**8 + 0 + 1/315*a**7 + 0*a**4. Factor d(c).
-2*c**2*(c - 1)**2*(c + 1)/3
Factor -284*r - 75*r**2 + 495*r - 123*r**2 - 334*r - 12.
-3*(2*r + 1)*(33*r + 4)
Factor -188/7 + 4/7*p**2 - 184/7*p.
4*(p - 47)*(p + 1)/7
Suppose -2*m = 3*x - 5, -x + 0 = 4*m - 15. What is h in 12 + 37*h + m*h**2 + 48*h - 101*h = 0?
1, 3
Suppose -6*j + 36 = -3*j. Let p = j - -30. Factor 0 - 20*r + p*r**2 + 0*r**2 + 27*r**4 + 2*r - 6*r**5 - 48*r**3 + 3.
-3*(r - 1)**4*(2*r - 1)
Suppose 3*p - 8 = 4*t, 2*p + 9 - 3 = -3*t. Suppose b = -3*s - 2, p = -0*b + b - 4*s - 12. Factor 0*f**2 - b*f - 4*f**2 + 2*f**4 + 3*f + 2*f**2 + f**5.
f*(f - 1)*(f + 1)**3
Suppose 7*m - 48 = -20. Let a(u) be the second derivative of -1/10*u**3 + 0*u**2 + 0 + 7/60*u**m - 1/20*u**5 + 1/150*u**6 + 9*u. Factor a(p).
p*(p - 3)*(p - 1)**2/5
Let h(o) = 96*o**2 - 54*o - 36. Let q(b) = -b**2 + b + 1. Let m(c) = h(c) + 3*q(c). Let u(p) = 23*p**2 - 13*p - 8. Let f(w) = 2*m(w) - 9*u(w). Solve f(z) = 0.
-2/7, 1
Suppose -6*j = -j + 2*g, -j - 13 = 3*g. Suppose o = 5 - j. What is u in u**3 + 4*u**2 - 3*u**4 - u**2 + 2*u**o - 6*u**3 + 3*u = 0?
-1, 0, 1
Let o(r) be the third derivative of r**6/720 - r**5/36 - 23*r**4/144 - r**3/3 + 7*r**2 - 5*r. Factor o(v).
(v - 12)*(v + 1)**2/6
Let q(p) be the first derivative of p**7/600 - 19*p**6/1800 - p**5/100 - 5*p**3/3 + 2. Let j(h) be the third derivative of q(h). Let j(k) = 0. Calculate k.
-2/7, 0, 3
Let 480/7*i**2 + 332/7*i + 8 - 16/7*i**4 + 188/7*i**3 = 0. What is i?
