) = 0. What is c?
-4, 0, 5
Solve -147/5*d**2 - 1/10*d**4 + 0 - 101/10*d**3 + 0*d = 0 for d.
-98, -3, 0
Suppose 4*l - 34 - 26 = 0. Determine j, given that 32*j**3 + 1 - 36*j + 8*j**2 + l - 1290*j**4 + 4*j**5 + 1266*j**4 = 0.
-1, 1, 4
Suppose 0 = 13*f - 16*f + 51. Determine j, given that 8 - 2544*j + 2668*j - f*j**2 - 115*j**2 = 0.
-2/33, 1
Let n(l) = -l**2 - 51*l + 34. Let s(m) = -116 - 118 + 0*m**2 - m**2 + 253 - 26*m. Let p(o) = 4*n(o) - 9*s(o). Factor p(r).
5*(r - 1)*(r + 7)
Let p = -2206 + 2209. Let f(y) be the second derivative of 1/25*y**5 + 0 - 11*y + 2/15*y**p - 1/25*y**6 + 7/30*y**4 + 0*y**2. What is r in f(r) = 0?
-1, -1/3, 0, 2
Solve -2848/7*l + 4/7*l**2 + 506944/7 = 0.
356
Let f(p) = 5*p + 18. Let m be f(-3). Factor -19*n - 11*n + m*n**2 + 3 + 36*n.
3*(n + 1)**2
Let w be (-4)/(-1)*(24/4 - 1). Suppose 5*q = w - 10. Factor g - 9*g**2 + q*g - 8*g + 5 - g**2.
-5*(g + 1)*(2*g - 1)
Let z = -68670 + 68673. Factor -17/2*k**2 + 2*k + 0 + 2*k**z.
k*(k - 4)*(4*k - 1)/2
Let c(z) = 47 + 80*z + 54 - 26*z**3 + 3*z**2 + 22*z**3. Let q(p) = 12*p**3 - 10*p**2 - 240*p - 302. Let l(a) = 14*c(a) + 5*q(a). Suppose l(n) = 0. What is n?
-2, 6
Let x = 4745/8 + -4743/8. Solve -1/2*g**2 - 2*g + x*g**3 + 0 = 0 for g.
-2, 0, 4
Let x(v) = -v**2 - 5*v + 2. Let z be 1*-26*3/18*-3. Suppose 6*d - 5 = z. Let k(g) = 6*g - 3. Let h(q) = d*x(q) + 2*k(q). Let h(f) = 0. Calculate f.
-1, 0
Let x(z) be the second derivative of -4*z**2 + 0*z**3 + 5 + 13*z + 1/8*z**4 + 1/80*z**5. Suppose x(c) = 0. What is c?
-4, 2
Let c(t) be the third derivative of -t**2 + 0*t**3 + 0*t**4 - 1/21*t**7 - 78 + 0*t + 65/336*t**8 + 0*t**6 + 0*t**5. Let c(n) = 0. Calculate n.
0, 2/13
Suppose 6*c - 5245 = 4493. Let d = c + -1623. Factor 1/3*q**3 - 7/3*q + d*q**2 - 2.
(q - 3)*(q + 1)*(q + 2)/3
Suppose -5*z + 3 = -3*l, -4*l + 22 = -4*z + 6*z. Factor 25*b + 0*b**4 - b**l + 11 - 9*b**2 + 1 - 12*b**3 - 13*b - 2*b**4.
-3*(b - 1)*(b + 1)*(b + 2)**2
Let z(j) be the first derivative of 4000*j + 31*j**4 + 4/5*j**5 + 2600*j**2 - 16 + 440*j**3. Factor z(q).
4*(q + 1)*(q + 10)**3
Let n(g) be the first derivative of -52/7*g**3 - 14*g + 8/7*g**4 + 16*g**2 - 2/35*g**5 - 188. Factor n(h).
-2*(h - 7)**2*(h - 1)**2/7
Let i(z) = -2*z**3 - 27*z**2 - 82*z - 9. Let w be -6 - (18 - 17)*(0 - -3). Let v be i(w). Factor 35/2*d + v - 5/2*d**2.
-5*d*(d - 7)/2
Suppose 5*j + 9*x - 8*x + 116 = 0, -4*j + x - 100 = 0. Let s be (4/(2*j))/((-5)/45). Suppose -3/2*z + s + 3/4*z**2 = 0. What is z?
1
Let k be (40/(-12))/(-1) + 9/(405/(-60)). Let q(g) be the third derivative of 33*g**k + 0*g**4 + 0*g + 1/90*g**5 + 0*g**3 + 1/180*g**6 + 0. Factor q(p).
2*p**2*(p + 1)/3
Let g = 664645/2 + -332322. Find t such that -2*t - g*t**2 - 3/2 = 0.
-3, -1
Factor 167 + 714*h + 7*h**2 - 184 - 596*h.
(h + 17)*(7*h - 1)
Let b(u) be the first derivative of -u**6/900 - u**5/150 + u**4/20 - u**3/9 - 25*u**2/2 - 29. Let c(p) be the second derivative of b(p). Factor c(i).
-2*(i - 1)**2*(i + 5)/15
Let s(u) be the first derivative of 1/2*u**6 - 9/2*u**4 + 12*u**2 + 69 + 3/5*u**5 - 4*u**3 + 0*u. Let s(x) = 0. What is x?
-2, 0, 1, 2
Suppose -881*b + 2 = -879*b. Suppose -5*a + 5*o = -30, -2*a - 3*o + b = 4. Determine t, given that 3/2*t**4 + 3/2*t**2 - a*t**3 + 0 + 0*t = 0.
0, 1
Let i(c) be the second derivative of c**7/14 - 4*c**6/5 - 3*c**5/4 + 37*c**4 - 88*c**3 - 480*c**2 - c - 316. What is m in i(m) = 0?
-4, -1, 4, 5
Let f(b) be the second derivative of 5*b**4/12 + 205*b**3/3 + 400*b**2 + 2042*b. Suppose f(j) = 0. Calculate j.
-80, -2
Let h = -15/4 + 79/20. Let m(n) = 42*n - 9490. Let j be m(226). Solve 2/5*v + 3/5 - h*v**j = 0.
-1, 3
Let x(c) = c**3 - 11*c**2 - c + 15. Let n be ((-780)/18)/13 - (-8)/6. Let f(v) = 2*v**3 - 22*v**2 - 2*v + 32. Let b(z) = n*f(z) + 5*x(z). Factor b(q).
(q - 11)*(q - 1)*(q + 1)
Let b(l) be the second derivative of -1/18*l**3 + 24*l - 5/72*l**4 + 0 + 0*l**2 + 1/60*l**6 + 1/30*l**5. Factor b(f).
f*(f - 1)*(f + 2)*(3*f + 1)/6
Let v(k) = 2*k + 49. Let j be v(-20). Solve -s**2 + 3*s**5 - s**5 + 6*s**2 - 2*s**3 - j*s**2 + 4*s**4 = 0 for s.
-2, -1, 0, 1
Let m(o) = o**3 + 2*o**2 + 12*o + 1. Let v(p) = -9*p**3 - 15*p**2 - 138*p - 12. Let s(l) = 12*m(l) + v(l). Determine n, given that s(n) = 0.
-2, -1, 0
Let -35901*z**2 + 4*z**4 - 1408 - 1280*z + 71649*z**2 - 36060*z**2 - 4*z**3 = 0. Calculate z.
-4, -2, 11
Let j(u) be the second derivative of 6*u**5/5 - 1509*u**4 - 6039*u**3/4 - 2265*u**2/4 + 286*u. Find l, given that j(l) = 0.
-1/4, 755
Suppose 2*m = 4*m + 144. Let x = 76 + m. Factor -2*v - 1 + 1 - 2*v**3 + x*v**2.
-2*v*(v - 1)**2
Suppose 146 = 4*b - 2*i - 122, 4*b - 4*i = 272. Let y be 11/b - 29/(-6). Factor -10*a**4 + 10*a**2 - y*a**3 + 5*a + 2*a**3 + 3*a**3 - 5*a**5.
-5*a*(a - 1)*(a + 1)**3
Suppose 2717*f - 2679*f - 760 = 0. Let r(b) be the first derivative of 1/2*b**2 + 0*b + b**4 - f - 5/3*b**3. Factor r(z).
z*(z - 1)*(4*z - 1)
Factor -6160*z + 2*z**2 - 197 - 357 - z**2 + 5607*z.
(z - 554)*(z + 1)
Factor 200*i - 687*i**3 - 2000 + 195*i**2 - i**4 - 4*i**4 + 677*i**3.
-5*(i - 4)**2*(i + 5)**2
Let w(x) = -x**2 + 58*x + 4343. Let l be w(-43). Determine h so that 4/3*h**4 + 4*h**2 + 1/6*h**5 + 11/3*h**3 + 3/2*h + l = 0.
-3, -1, 0
Let a(b) = 4*b**4 + 143*b**3 + 1815*b**2 + 2554*b - 1053. Let p(w) = -w**4 - w - 5. Let k(q) = -a(q) - p(q). Factor k(f).
-(f + 2)*(f + 23)**2*(3*f - 1)
Suppose -3*w + 2*v - 3*v = -63, 4*w + 3*v - 84 = 0. Suppose -3*m - 15 = -w. Suppose 3*s**5 - 12*s**3 - 6*s**2 + 5*s**3 - m*s**3 = 0. Calculate s.
-1, 0, 2
Let c(r) be the second derivative of r**6/840 - r**5/420 - r**4/168 + r**3/42 - 9*r**2/2 + 2*r - 12. Let x(d) be the first derivative of c(d). Solve x(l) = 0.
-1, 1
Let x(f) be the third derivative of 132*f**2 - 1/180*f**6 + 0 + 1/90*f**5 - f**3 + 0*f + 1/4*f**4. Factor x(z).
-2*(z - 3)*(z - 1)*(z + 3)/3
Let d(b) = -3*b**3 + 44*b**2 - 538*b + 1354. Let r(k) = -3*k**3 + 49*k**2 - 536*k + 1352. Let w(g) = 4*d(g) - 5*r(g). Let w(y) = 0. What is y?
7, 8
Suppose 867 = 4*d - 1649. Let o = 3157/5 - d. Find f, given that 4/5*f + 12/5 - o*f**2 - 4/5*f**3 = 0.
-3, -1, 1
Let s(n) be the third derivative of 1/24*n**4 - 1/80*n**5 + 0*n**3 + 0*n - 1/480*n**6 - 1 + 41*n**2. Let s(d) = 0. Calculate d.
-4, 0, 1
Let s(v) be the third derivative of -91/60*v**5 + 0 - 4*v + 141/4*v**4 + 1/48*v**6 - 54*v**3 - 3*v**2. Factor s(c).
(c - 18)**2*(5*c - 2)/2
Solve -75*y - 246 + 117*y**3 - 13545*y**2 + 13794*y**2 - 42*y - 3*y**4 = 0 for y.
-2, -1, 1, 41
Factor -6*x**3 + 8*x**3 - 29*x - 259*x + 0*x**3 + 2*x**3 - 284*x**2.
4*x*(x - 72)*(x + 1)
Solve 12*l**3 - 1469*l + 52553*l**2 - 3*l**4 - 52202*l**2 - 307*l - 2112 = 0 for l.
-11, -1, 8
Let y(a) be the second derivative of -1 - 3/50*a**5 - 363/10*a**2 - 22*a**3 + 43/20*a**4 + 44*a. Find j such that y(j) = 0.
-1/2, 11
Let r be (312/208 + -13*2/20)*12. Let m(n) be the second derivative of -18*n + 0*n**3 + 14/15*n**6 - 4/3*n**4 + 0 - r*n**5 + 0*n**2. Factor m(i).
4*i**2*(i - 2)*(7*i + 2)
Let y(a) = 2*a**2 - 27*a - 46. Let u(o) = 3*o**2 + 4. Let k(r) = -5*u(r) + 5*y(r). Factor k(c).
-5*(c + 2)*(c + 25)
What is m in -24*m - 33*m + 3*m**3 - 40*m - 24*m**2 + 101 + 43 + 109*m = 0?
-2, 4, 6
Determine d, given that -1405 - 1233 + 1250*d - 487 - 471*d**4 - 50*d**3 + 476*d**4 = 0.
-5, 5
Solve -5*o - 23372*o**2 - 26100*o**2 + 5*o**3 - 3115 + 0*o + 52587*o**2 = 0 for o.
-623, -1, 1
Let b(n) be the third derivative of 0*n**3 + 0*n**4 + 0*n - 1/168*n**7 + 0*n**5 + 0 + 1/96*n**6 - 81*n**2. Let b(w) = 0. Calculate w.
0, 1
Let s = 47 + -15. Suppose 3*q - 40 = 2*x, 4*x = 2*q - 0*x - s. Factor -n**4 + 0*n**2 - 13*n**2 + 0*n**3 + q*n - 4 + 6*n**3.
-(n - 2)**2*(n - 1)**2
Let u = -70 + 62. Let c be u/(-2)*(-6)/((-72)/6). Factor -8*h + c*h**2 - 10*h**2 - 4*h**3 - 4*h**2.
-4*h*(h + 1)*(h + 2)
Let h be -17 + 4807/266 + (-3)/14. Determine i, given that 0 - h*i**2 + 3/7*i + 3/7*i**3 = 0.
0, 1
Suppose 73/2*s - 429/4 - 1/4*s**2 = 0. What is s?
3, 143
Let r(o) be the third derivative of -o**6/160 - 5*o**5/8 + 13*o**4/4 + 3*o**2 + 999. Let r(g) = 0. What is g?
-52, 0, 2
Factor -6 - 4*y**2 + 25 + 23 + 26 + 0 + 64*y.
-4*(y - 17)*(y + 1)
Let c(b) = 7*b**3 - 42*b**2 + 195*b - 68. Let t(i) = -i**3 - 15*i**2 - i + 1. Let r(g) = c(g) + 2*t(g). Factor r(p).
(p - 11)*(p - 3)*(5*p - 2)
Let j = 97 + -104. Let m be (-18)/j*(-6 + 