 a = 0?
-1
Let y(w) = -w**2 + 39*w + 812. Let u be y(-15). Find c such that 0*c**u - 2/11*c**3 + 6/11*c - 4/11 = 0.
-2, 1
Suppose i - u = -2, -4*u - 2 + 10 = 2*i. Determine d, given that -1/2*d**2 - 1/4*d + i*d**3 + 0 + 1/2*d**4 + 1/4*d**5 = 0.
-1, 0, 1
Let f(u) be the second derivative of -8*u + 0*u**2 + 1/60*u**5 - 1/18*u**3 + 0 + 1/90*u**6 - 1/36*u**4. Factor f(p).
p*(p - 1)*(p + 1)**2/3
Determine b so that 10648/7 + 1452/7*b + 1/7*b**3 + 66/7*b**2 = 0.
-22
Suppose -88/13*m**4 + 48/13 + 184/13*m - 14/13*m**5 - 150/13*m**3 + 20/13*m**2 = 0. Calculate m.
-3, -2, -2/7, 1
Let h be (40/50)/(1/5). Let g be 2/(-1) - -3 - -3. Suppose -9*t**3 + h*t**2 + g*t**4 - t**3 + 0*t**2 - 18*t**4 = 0. Calculate t.
-1, 0, 2/7
Let m(d) be the first derivative of d**6/9 + 2*d**5/5 - 8*d**3/9 - 109. Suppose m(u) = 0. Calculate u.
-2, 0, 1
Suppose 5*z - d = 2*d, d = 5. Factor 4*g**3 + 4*g**4 - g**2 + 3*g**3 - 4*g - 3*g**3 - z*g**2.
4*g*(g - 1)*(g + 1)**2
Solve -85*z + 24*z**3 - 700 - 4*z**5 + 33*z + 1419 - 695 + 16*z**2 - 8*z**4 = 0.
-3, -2, 1
Let j(v) be the second derivative of -1/3*v**4 + 0*v**3 + 3*v + 2/15*v**6 + 0 + 2/21*v**7 + 0*v**2 - 1/5*v**5. Factor j(b).
4*b**2*(b - 1)*(b + 1)**2
Let z(u) be the first derivative of -u**8/1680 - 13*u**7/4200 - u**6/450 + u**5/150 - 8*u**3/3 - 16. Let j(f) be the third derivative of z(f). Factor j(v).
-v*(v + 1)*(v + 2)*(5*v - 2)/5
Let t be 13/((-5)/40*-4). Let -t - 10*x**2 + 36 + 20 - 25*x + 5*x**3 = 0. Calculate x.
-2, 1, 3
Let t be 3 - (4 + -4 + -1). Let w(j) be the first derivative of 2/3*j**3 + 18*j - 6*j**2 + t. Factor w(b).
2*(b - 3)**2
Let i(z) = 4*z**2 - 11*z + 7. Suppose 4*u + 5 = -27. Let c(l) = -12*l**2 + 32*l - 20. Let f(p) = u*i(p) - 3*c(p). Factor f(k).
4*(k - 1)**2
Let z(c) be the first derivative of -51*c**4/8 - 18*c**3 - 63*c**2/4 - 3*c + 182. Solve z(u) = 0.
-1, -2/17
Let v(l) be the third derivative of l**5/540 + l**4/216 - 2*l**3/9 + l**2 + 36*l. Find m, given that v(m) = 0.
-4, 3
Let g(l) be the second derivative of l**9/756 - l**8/140 + l**7/105 + 7*l**3/6 - 10*l. Let z(c) be the second derivative of g(c). Determine f so that z(f) = 0.
0, 1, 2
Let w(o) be the second derivative of o**7/105 + 7*o**6/75 - o**5/25 - 23*o**4/15 + 13*o**3/3 - 5*o**2 - 44*o. Suppose w(r) = 0. Calculate r.
-5, 1
Let q(m) = -48*m - 1053. Let l be q(-22). Solve 4/17*t**4 - 2/17*t**l + 0 + 0*t + 0*t**2 - 2/17*t**5 = 0.
0, 1
Suppose r + 2 = 0, -2*r - r - 1914 = -3*a. Determine v, given that 0*v**2 - 624 + 10*v + 2*v**2 + a = 0.
-3, -2
Let a(m) be the third derivative of m**7/1260 - m**6/120 - 5*m**5/72 - m**4/8 + 3*m**2 - 3*m. Find w such that a(w) = 0.
-2, -1, 0, 9
Let j(w) be the second derivative of 3*w**5/140 - 55*w**4/84 + 23*w**3/14 - 17*w**2/14 - 115*w. Solve j(m) = 0.
1/3, 1, 17
Let h be (-534)/(-4005) + -1 + 362/210. Factor -h*n**2 - 6/7 + 15/7*n.
-3*(n - 2)*(2*n - 1)/7
Determine l, given that -15*l**2 + 0 - 27/2*l - 3/2*l**3 = 0.
-9, -1, 0
Let z(j) be the first derivative of -j**6/24 + 29*j**5/20 - 79*j**4/4 + 132*j**3 - 432*j**2 + 540*j - 341. Solve z(k) = 0.
1, 6, 10
Let o(q) be the second derivative of -3*q**5/20 + q**4/4 + 2*q**3 - 6*q**2 + q - 32. Suppose o(y) = 0. What is y?
-2, 1, 2
Let a(t) be the first derivative of -2*t**7/21 - 2*t**6/5 - 3*t**5/5 - t**4/3 + 5*t**2/2 - 8. Let l(r) be the second derivative of a(r). Factor l(c).
-4*c*(c + 1)**2*(5*c + 2)
Let l = -39247/5 - -7851. Factor -8/5 - 2/5*o**2 - l*o.
-2*(o + 2)**2/5
Let j(n) be the third derivative of 6*n**2 + 0 + 0*n**3 + 1/80*n**5 + 1/96*n**4 + 1/840*n**7 + 0*n + 1/160*n**6. Factor j(y).
y*(y + 1)**3/4
Let x(v) = -v**3 + 8*v**2 - 6*v - 4. Let i be x(7). What is o in -o**4 + 0*o**2 + o**2 - 3*o**i + 0*o**2 - 3*o**4 = 0?
-1, 0, 1/4
Let f(v) be the first derivative of -15 - 51/4*v**4 - 81*v - 81/2*v**2 + 6/5*v**5 + 45*v**3. Determine s, given that f(s) = 0.
-1/2, 3
Let j be ((-2)/(-2))/(14/52). Suppose -2*y - 8 = 274*p - 276*p, 8 = 3*p - y. Determine z, given that -12/7*z**3 + 2/7*z**4 - 24/7*z + 8/7 + j*z**p = 0.
1, 2
Let i(w) be the first derivative of -2*w**3/15 + 64*w**2/5 - 126*w/5 + 454. Find u such that i(u) = 0.
1, 63
Let h be -7 + (4*1424/(-320))/(2/(-5)). Determine u so that 3/2*u**4 + h - 60*u + 9*u**2 + 12*u**3 = 0.
-5, 1
Determine u, given that -1028*u**2 + 501*u**2 + 507*u**2 + 15 - 55*u = 0.
-3, 1/4
Suppose 0 + 2*j + 15*j**2 - 5*j**3 - 4 + 3*j - 8 - 2 - j**4 = 0. Calculate j.
-7, -1, 1, 2
Let o(f) be the third derivative of -f**6/40 - f**5/4 + 125*f**4/8 - 375*f**3/2 - 695*f**2. Factor o(n).
-3*(n - 5)**2*(n + 15)
Let o(y) be the second derivative of -y**5/80 + y**4/6 + 80*y. Determine h, given that o(h) = 0.
0, 8
Let x(c) be the second derivative of -2*c**7/21 - 4*c**6/5 - 11*c**5/5 - 2*c**4 + 66*c. Find f, given that x(f) = 0.
-3, -2, -1, 0
Let v(b) = b**3 + 9*b**2 + 7*b - 18. Let m be v(-8). Let y be (-2)/15*m - 1. Solve -y + 1/2*x - 1/6*x**2 = 0.
1, 2
Let q be 6/6 - (-16)/(-170). Let t = q + 5/17. Factor -3/5*s**2 - t + 9/5*s.
-3*(s - 2)*(s - 1)/5
Let b = -3089 - -21653/7. Solve 0 + b*a**4 - 2*a**2 - 2/7*a - 2*a**3 = 0.
-1/3, -1/5, 0, 1
Let r(o) be the first derivative of 13*o**3 + 2*o + 17/2*o**2 + 35/4*o**4 + 11/5*o**5 - 4. Solve r(s) = 0 for s.
-1, -2/11
Let w(p) be the second derivative of p**9/7560 - p**7/630 + p**5/60 + 2*p**4/3 - 5*p. Let n(x) be the third derivative of w(x). Factor n(m).
2*(m - 1)**2*(m + 1)**2
Let j = 253 + -244. Suppose -4*f - 6 = -26. Let -6*g**4 - j*g**f + 58*g**2 - 58*g**2 + 3*g**3 = 0. Calculate g.
-1, 0, 1/3
Let b be -4 + 1 + 34 + -2. Let v = b + -28. Determine p so that 1/3*p**3 + 7/3*p + v + 5/3*p**2 = 0.
-3, -1
Let c(a) be the third derivative of a**7/1680 + 29*a**6/120 + 3003*a**5/80 + 29645*a**4/12 + 456533*a**3/48 - 610*a**2. Factor c(l).
(l + 1)*(l + 77)**3/8
Suppose -11163*w - 130*w**2 + 36*w**3 - 226981 - 37*w**3 - 53*w**2 = 0. What is w?
-61
Let w(f) be the third derivative of 1/27*f**3 + 1/270*f**5 + 0*f + 9*f**2 - 1/54*f**4 + 0. What is r in w(r) = 0?
1
Let l(y) = -y**3 + 5*y**2 - y + 7. Let p be ((-40)/(-56))/((-1)/(-7)). Let a be l(p). Factor 4/5*k**3 - 7/5*k**a + 2/5*k + 1/5.
(k - 1)**2*(4*k + 1)/5
Let y(i) be the second derivative of -i**5/4 + 25*i**4/12 - 5*i**3 - 25*i - 1. Factor y(q).
-5*q*(q - 3)*(q - 2)
Let u(x) be the first derivative of -4*x**3/3 + 62*x**2 + 128*x - 127. Determine c, given that u(c) = 0.
-1, 32
Let k(x) be the third derivative of x**6/360 + x**5/36 - x**4/72 - 5*x**3/18 - 3*x**2. Let k(c) = 0. Calculate c.
-5, -1, 1
Factor 752/7 - 368/7*w - 4/7*w**2.
-4*(w - 2)*(w + 94)/7
Let g be 12/5 + 24/40. Let b be (12/64)/((-3)/(-4)). Solve 1/4*y + 1/4*y**2 - 1/4*y**g + 0 - b*y**4 = 0 for y.
-1, 0, 1
Let d(j) = -11*j**3 - 21*j**2 - 22*j - 12. Let k(p) = -5*p**3 - 10*p**2 - 11*p - 6. Let u(s) = 6*d(s) - 13*k(s). Factor u(w).
-(w - 6)*(w + 1)**2
Let u(d) be the first derivative of -d**6/2520 + d**5/840 + 13*d**3/3 + 13. Let l(w) be the third derivative of u(w). Factor l(t).
-t*(t - 1)/7
Let o be 40/126 + 90/(-405). Let v(x) be the second derivative of -1/35*x**5 + 1/105*x**6 - 8*x + 0 - 1/42*x**4 + 0*x**2 + o*x**3. Factor v(c).
2*c*(c - 2)*(c - 1)*(c + 1)/7
Suppose 3*j + 3*h - 4 = 11, -4*h = -2*j + 16. Suppose -j*m + 13*m + m**2 - m**3 - 5*m = 0. What is m?
-1, 0, 2
Let p(f) = f**3 - 5*f**2 + 6*f - 1. Let s be p(4). Let b be (192/(-168))/((-22)/s). Let 2/11*w**2 - b*w + 0 + 2/11*w**3 = 0. What is w?
-2, 0, 1
Let i(h) be the second derivative of 11*h**5/20 - 29*h**4/12 + 5*h**3/3 + 4*h**2 - 7*h. Factor i(u).
(u - 2)*(u - 1)*(11*u + 4)
Let l(m) = 6*m**3 + 8*m**2 - 10*m + 4. Let j = 40 - 32. Let b(f) = 0*f - 3*f + 0*f + 2*f + 1. Let a(y) = j*b(y) - l(y). Find v, given that a(v) = 0.
-1, 2/3
Let k be 72/33 - (-10)/(-55). Suppose 0 = 4*a + k*o, 7 + 19 = 5*a - 4*o. What is n in -2*n + a*n + 4*n**3 - 4*n = 0?
-1, 0, 1
Let d(j) be the second derivative of 1/3*j**4 - 2*j + 1/6*j**5 - 8/3*j**2 - 4/9*j**3 + 0 + 1/45*j**6. Factor d(y).
2*(y - 1)*(y + 2)**3/3
Let y(b) be the first derivative of -b**3/15 + 3*b**2/10 + 4*b/5 - 66. Find m, given that y(m) = 0.
-1, 4
Let y(c) = c**3 + 6*c**2 - 96*c - 620. Let k be y(-7). Factor 3/11*l**k + 32/11*l + 23/11*l**2 + 12/11.
(l + 1)*(l + 6)*(3*l + 2)/11
Factor -14 + 1/8*z**2 - 5*z + 1/8*z**3.
(z - 7)*(z + 4)**2/8
Let d be 0 + 2 - 16*1. Let g be