 + p(s). Suppose t(r) = 0. What is r?
-1
Suppose -8*g = -20*g - 120. Let d be 770/55 - g/(-1). Factor -20/7*a**3 - 12/7*a + 6/7*a**d + 2/7 + 24/7*a**2.
2*(a - 1)**3*(3*a - 1)/7
Let s(z) be the third derivative of -z**6/600 + 74*z**5/75 + 601*z**4/40 + 453*z**3/5 + z**2 + 521*z. Factor s(g).
-(g - 302)*(g + 3)**2/5
Let d(a) be the second derivative of a**7/126 - a**6/18 + 3*a**5/20 - 7*a**4/36 + a**3/9 + 2*a + 2. Factor d(v).
v*(v - 2)*(v - 1)**3/3
Let w(l) be the first derivative of 5/4*l**4 - 5*l**3 + 0*l - 40 + 5*l**2. What is u in w(u) = 0?
0, 1, 2
Let x be 121/((-8470)/(-441))*(-12)/(-14). Factor -x*i**2 + 1/10*i**3 + 486/5*i - 2916/5.
(i - 18)**3/10
Let l(b) be the third derivative of b**8/672 + 11*b**7/210 + 27*b**6/40 + 91*b**5/30 - 539*b**4/48 - 343*b**3/2 + 14*b**2 + 5. Determine r so that l(r) = 0.
-7, -3, 2
Let l be (403/(-39))/(2/(-6)). Suppose l*h + 8 = 35*h. Factor g**h + 0 - 1/2*g**3 - 1/2*g.
-g*(g - 1)**2/2
Let i(z) = 5*z**3 + 29*z**2 - 19*z - 191. Let d be i(-5). Find v such that 0 - 254/3*v**3 + 10/3*v**d + 340/3*v**2 - 32*v = 0.
0, 2/5, 1, 24
Let a(d) be the first derivative of -d**5/60 - 5*d**4/2 - 150*d**3 - d**2 + 95*d - 71. Let r(p) be the second derivative of a(p). Factor r(t).
-(t + 30)**2
Let x be (2172390/(-425))/(-11) - 1. Let f = x + -2309/5. Factor -2/17*j**3 + 24/17 + 14/17*j**2 - f*j.
-2*(j - 3)*(j - 2)**2/17
Let g(d) be the second derivative of 4*d**6/15 + 5*d**5/2 + 7*d**4 + 25*d**3/3 + 4*d**2 - 212*d - 7. Let g(p) = 0. What is p?
-4, -1, -1/4
Let i = 332 + -338. Let k be (i + 7)*4/14. Factor 10/7*t + k*t**3 + 4/7 + 8/7*t**2.
2*(t + 1)**2*(t + 2)/7
Let c(b) be the second derivative of b**4/36 + 29*b**3/18 - 16*b**2 + 867*b - 2. Factor c(s).
(s - 3)*(s + 32)/3
Let j be (-5 + (-150)/12)*8/(-10). Let q = j - 10. Suppose 36*c - 9*c**4 + q + 25*c**2 + 8 + 8*c**2 + 2*c**5 - 5*c**5 + 3*c**3 = 0. Calculate c.
-2, -1, 2
Let p(r) be the third derivative of 0*r**4 + 0*r**3 + 0*r**5 - 2/105*r**7 - 4*r**2 + 0*r + 1/15*r**6 + 0. Factor p(o).
-4*o**3*(o - 2)
Let v(l) = 45*l**2 + 2230*l + 50. Let t(a) = 11*a**2 + 557*a + 12. Let i(m) = -25*t(m) + 6*v(m). Factor i(j).
-5*j*(j + 109)
Let h(u) be the first derivative of u**6/52 + 37*u**5/780 + u**4/26 + u**3/3 - 7*u**2/2 - 3. Let x(j) be the third derivative of h(j). Factor x(s).
2*(5*s + 3)*(9*s + 2)/13
Let b(a) be the third derivative of -a**9/181440 + a**8/12096 + 17*a**5/30 - 29*a**2. Let x(n) be the third derivative of b(n). Factor x(w).
-w**2*(w - 5)/3
Let l(y) be the second derivative of y**6/15 - 49*y**5/45 + 205*y**4/54 + 8*y**3/9 + 10494*y. Determine u so that l(u) = 0.
-1/9, 0, 3, 8
Let c be (0/(((-44)/(-286))/((-3)/(-39))))/(-3). Let b(m) be the third derivative of 1/60*m**4 + 0*m**5 - 1/300*m**6 + c*m + 0*m**3 + 18*m**2 + 0. Factor b(x).
-2*x*(x - 1)*(x + 1)/5
Let a(j) be the first derivative of -j**8/1512 + j**6/270 - j**4/108 - j**2/2 + 8*j - 136. Let m(z) be the second derivative of a(z). Factor m(o).
-2*o*(o - 1)**2*(o + 1)**2/9
Let t be 98/24 - (6264/(-162) + 39). Factor 3/8*l**2 + t + 33/8*l.
3*(l + 1)*(l + 10)/8
Let i be ((-1)/(-3)*-2)/(10 + 217/(-21)). Let w(d) be the first derivative of 21/4*d**i + 3*d + 7/2*d**3 - 3 + 3/4*d**4. Factor w(f).
3*(f + 1)*(f + 2)*(2*f + 1)/2
Let v(i) be the third derivative of i**5/20 - 167*i**4/2 - 35*i**2 - 5. Suppose v(b) = 0. Calculate b.
0, 668
Let f = 146 - 144. Suppose 11*p + 4*c + 20 = 8*p, f*p = 3*c + 15. Let p*k**3 + 0*k + 3*k**2 - 9/4*k**4 + 0 + 3/4*k**5 = 0. Calculate k.
-1, 0, 2
Let x be (-3285)/(-21) + 276/42 + -6. Find i, given that 9 + 4*i**2 - 9 + i**2 + x*i - 42*i = 0.
-23, 0
Let f(a) be the first derivative of -a**5/15 + 6*a**4 - 216*a**3 + 3*a**2/2 + 20*a - 53. Let j(k) be the second derivative of f(k). Factor j(z).
-4*(z - 18)**2
Determine u, given that 7/2*u**5 + 62/3*u**3 + 0*u**2 + 97/6*u**4 - 8/3 - 32/3*u = 0.
-2, -1, -2/7, 2/3
Factor 208/3 + 4/3*q**2 + 212/3*q.
4*(q + 1)*(q + 52)/3
Let d be (-29 - (-240)/10) + 69/5. Solve -22/5*c**4 + d*c**3 - 144/5*c + 24*c**2 + 0 + 2/5*c**5 = 0 for c.
-2, 0, 1, 6
Let k(z) = -z**3 + 6 - 1 + 3*z - 3 - z + 0 - z**2. Let y be k(-2). Factor 2/13 + 6/13*m + 2/13*m**3 + 6/13*m**y.
2*(m + 1)**3/13
Let d = 886/477 + -91/477. Let 15/2*k**4 - 25/2*k - d*k**2 - 35/6 + 5/6*k**5 + 35/3*k**3 = 0. Calculate k.
-7, -1, 1
Suppose q + 2*p - 17 = 0, 0 = -4*q + 4*p + 218 - 234. Factor 15/4*u + 0 + 3/4*u**q + 9/2*u**2.
3*u*(u + 1)*(u + 5)/4
Let q = -313 - -315. Suppose 0 = f - 2 + q. Find s such that 0*s**3 + f + 1/4*s**4 - 3/4*s**2 - 1/2*s = 0.
-1, 0, 2
Let y(x) = 2*x**2 + 21*x + 27. Let a = 647 - 656. Let j be y(a). Factor j*r + 0 + 3/4*r**2 + 1/4*r**3.
r**2*(r + 3)/4
Let w(t) be the third derivative of t**8/10080 - t**7/1260 - t**6/45 - 13*t**5/12 - 11*t**2. Let j(r) be the third derivative of w(r). Factor j(u).
2*(u - 4)*(u + 2)
Let d be (1 - 4)*60/(-90). Let z(k) be the first derivative of 0*k + 2*k**2 + k**4 + 8/3*k**3 - d. Factor z(o).
4*o*(o + 1)**2
Let h(x) be the third derivative of -14*x**4/3 + 64*x**3 - 5*x**2 + 16*x. Let q be h(0). Factor 64*j**3 + 1/2*j**5 + q*j - 224*j**2 - 256 - 9*j**4.
(j - 4)**4*(j - 2)/2
Let d be -2 - (121/(-77) + 6/(-14)). Suppose d = -m + 219 + 126. Factor -345 - 5*h + h**2 + m + 4*h**2.
5*h*(h - 1)
Let g(d) be the second derivative of -7*d**5/80 + 167*d**4/24 + 6441*d. Factor g(y).
-y**2*(7*y - 334)/4
Let h be 6/2 - (-1168 + 1169). Factor 3/2*a**3 + 3/2*a**h + 9/2 - 15/2*a.
3*(a - 1)**2*(a + 3)/2
Factor 0 + 47/10*h**2 + 7/2*h + 13/10*h**3 + 1/10*h**4.
h*(h + 1)*(h + 5)*(h + 7)/10
Let c(q) be the second derivative of q**7/105 - 8*q**6/75 + q**5/10 + 5*q**4/3 + 7*q - 10. Factor c(n).
2*n**2*(n - 5)**2*(n + 2)/5
Let c = -71 - -171. Let z = c + -98. Factor 64 - 75*o**3 + 145*o**3 - 68*o**3 + 20*o**z + 64*o.
2*(o + 2)*(o + 4)**2
Let r = -412577/4 - -103145. Let z be (-3)/(5/(30/(-16))). Find y such that -3/8*y**2 + z - r*y = 0.
-3, 1
Let u be (-11)/(-231)*-9*(-28)/72. Let f(g) be the first derivative of 1/10*g**5 - 6 - 2/9*g**3 + 1/6*g**2 - 1/12*g**4 + u*g. Suppose f(w) = 0. What is w?
-1, -1/3, 1
Let z(u) be the first derivative of 1/14*u**2 - 304 + 0*u + 1/21*u**3. Factor z(t).
t*(t + 1)/7
Let w(i) be the second derivative of i**7/14 + 51*i**6/5 - 621*i**5/20 + 26*i**4 - 18*i - 9. Solve w(u) = 0 for u.
-104, 0, 1
Let f(g) be the third derivative of -3/10*g**5 + 35*g**2 - 11/8*g**4 + 0 + 0*g - 3*g**3 - 1/40*g**6. Factor f(y).
-3*(y + 1)*(y + 2)*(y + 3)
Let c(b) be the third derivative of -b**7/42 - b**6/2 + 7*b**5/3 + 213*b**2. Factor c(d).
-5*d**2*(d - 2)*(d + 14)
Determine j so that -181*j**2 + 14*j**2 + 33*j - 2*j**3 - 371*j + 3*j**3 = 0.
-2, 0, 169
Let q = 72 + -71. Let j be -6*q/2 - -8. What is v in 33*v**2 - 13*v**4 - 2*v**j - 16 - 8*v**3 + 0*v**4 + 32*v + 14*v**2 - 40*v = 0?
-4, -1/2, 1
Let y(q) be the first derivative of 26/21*q**3 + 2/7*q**4 - 13/7*q**2 - 8/7*q - 79. Factor y(n).
2*(n - 1)*(n + 4)*(4*n + 1)/7
Let i(s) = 7*s**3 - 113*s**2 + 112*s + 10. Let v(d) = 3*d**3 + 5. Let u(r) = i(r) - 2*v(r). Factor u(g).
g*(g - 112)*(g - 1)
Let w(x) be the second derivative of 13*x**6/90 - 14*x**5/15 + 2*x**4/3 - 23*x**3/6 + 64*x. Let u(p) be the second derivative of w(p). Factor u(a).
4*(a - 2)*(13*a - 2)
Let r be 9 + 440/(-48) + (-11)/(-54). Let u = 49/135 + r. Solve 0*v + 0 + u*v**4 + 98/5*v**2 + 28/5*v**3 = 0.
-7, 0
Let k(c) = -c**2 + 151*c + 1284. Let u be k(-8). Let h(a) be the first derivative of u - 2*a + 14/3*a**3 - 2*a**4 + 5/2*a**2. Factor h(j).
-(j - 2)*(2*j + 1)*(4*j - 1)
Let i(j) = -j**2 - 87*j + 68. Let c(h) = 9*h**2 + 882*h - 681. Let l(d) = 2*c(d) + 21*i(d). What is b in l(b) = 0?
-22, 1
Let t(k) be the third derivative of 189*k**2 + 8/3*k**3 + 0*k + 0 + 5/8*k**4 - 1/60*k**5. Determine a so that t(a) = 0.
-1, 16
Let i(v) be the third derivative of -25*v**6/24 + 14945*v**5/12 - 7465*v**4/3 + 1990*v**3 - 2794*v**2. Find q, given that i(q) = 0.
2/5, 597
Let o(n) be the first derivative of 0*n**2 + 0*n + 70 - 1/16*n**4 + 1/20*n**5 + 0*n**3. Solve o(k) = 0.
0, 1
Let i(w) = -w**4 + 4*w**3 + 13*w**2 - 40. Let q(x) = 2*x**4 - 11*x**3 - 27*x**2 + 6*x + 82. Let b(a) = -5*i(a) - 2*q(a). Factor b(f).
(f - 2)**2*(f + 3)**2
Let t(g) = 6*g**2 + 3767*g - 976144. Let w(c) = 10*c**2 + 5632*c - 1464216. Let d(q) = -8*t(q) + 5*w(q). Factor d(p).
2*(p -