s g?
-3, -2, -1, 1
Let l(f) = -f**2 + 5*f - 23 + 4*f + 18. Let r be l(8). Factor -13*s**2 + 10*s**2 + 28*s**2 + 20*s + 5 + 10*s**r.
5*(s + 1)**2*(2*s + 1)
Solve -4*b**3 + 2*b**3 + 208*b**2 - 39845874*b + 39846314*b - 1696 = 0.
-4, 2, 106
Let c be (28 + -31)*28/(-6). Factor -c*i**3 - 11*i**3 + 2672*i - 2651*i + 5*i**2 - 9.
-(i + 1)*(5*i - 3)**2
Let k = 349614/1660847 + 2/87413. Factor -4/19*a**3 + 2/19*a - 2/19*a**4 - 2/19 + k*a**2 + 2/19*a**5.
2*(a - 1)**3*(a + 1)**2/19
Let c(p) = p + 40. Let v be c(-11). Factor -24*r**3 - 128*r**2 - 40 + v*r**3 + 148*r + 15*r**3.
4*(r - 5)*(r - 1)*(5*r - 2)
Factor r**3 - 3*r**3 + 120*r**2 + 296*r**2 + 0*r**3.
-2*r**2*(r - 208)
Let t = 11341/47 + -77836/329. Find y such that t*y**2 - 18/7*y + 0 + 3/7*y**4 + 9*y**3 - 9/7*y**5 = 0.
-2, -1, 0, 1/3, 3
Let j(w) be the second derivative of -81/2*w**2 - 1/12*w**4 - 3*w**3 + 3*w + 0. Solve j(r) = 0.
-9
Let p = 8416/905 + 344/181. Factor -p*f - 392/5 - 2/5*f**2.
-2*(f + 14)**2/5
Let d(y) be the second derivative of -y**4/30 + 443*y**3/15 + 444*y**2/5 + 6858*y. Solve d(g) = 0 for g.
-1, 444
Determine o, given that -1091/2*o + 2615/6*o**2 - 1/6*o**4 - 217/2*o**3 + 655/3 = 0.
-655, 1, 2
Suppose 219 = -7*y + 219. Let z be 0 - y - ((-24)/(-4) + -8). Let 6 + 3/2*v**z + 6*v = 0. What is v?
-2
Let i(d) be the first derivative of d**5/270 - 5*d**4/9 + 100*d**3/3 + 101*d**2/2 - 85. Let y(r) be the second derivative of i(r). Factor y(k).
2*(k - 30)**2/9
Let t be 1 - (-418)/42 - (10 - 1820/195). Suppose -2/7*w**3 - t - 20/7*w**2 - 66/7*w = 0. Calculate w.
-4, -3
Let t(v) be the third derivative of -v**5/6 + 445*v**4/24 - 145*v**3/2 + 7485*v**2. Solve t(w) = 0.
1, 87/2
Let p(d) be the second derivative of 2 - 1/210*d**5 + 3/7*d**2 + 49*d + 1/18*d**4 - 5/21*d**3. Let p(a) = 0. Calculate a.
1, 3
Let w(r) be the first derivative of -r**3/18 - 59*r**2/6 + 778. Solve w(z) = 0.
-118, 0
Let g be 1 - 1 - -12 - 4. Suppose 8 = -k - 2*k - 5*f, 3*f + g = -k. Factor -k*u**3 + 175 - 8*u**2 - 175 - 4*u.
-4*u*(u + 1)**2
Let h(r) be the first derivative of r**7/3360 - r**6/9 + 40*r**5/3 + 107*r**3/3 + r - 84. Let p(d) be the third derivative of h(d). Factor p(a).
a*(a - 80)**2/4
Let v(c) = 21*c**2 - 231*c + 450. Let d(l) be the third derivative of l**5/20 - 11*l**4/8 + 32*l**3/3 + 132*l**2. Let f(s) = -27*d(s) + 4*v(s). Factor f(n).
3*(n - 8)*(n - 3)
Suppose -229939*o**2 - 32*o**3 - 170*o**3 - o**4 + 225155*o**2 - o**4 + 16224*o = 0. Calculate o.
-52, 0, 3
Find z, given that -153 - 37/2*z**2 - 1/4*z**3 - 417/4*z = 0.
-68, -3
Let g = -73931/15 - -4929. Let l(a) be the first derivative of 2/5*a**2 - g*a**3 - 13 + 0*a. Factor l(v).
-4*v*(v - 1)/5
Let t(c) = -c**4 - 654*c**3 + 1950*c**2 - 1958*c + 543. Let d(f) = -f**4 - 653*f**3 + 1950*f**2 - 1957*f + 561. Let y(p) = -6*d(p) + 5*t(p). Factor y(o).
(o - 1)**3*(o + 651)
Let j be 1 + -1 - (-27)/12. Let i = 305266 - 1221043/4. Factor i*v**2 + 1 - j*v**3 - 4*v.
-(v - 1)*(3*v - 2)**2/4
Let y(u) be the third derivative of -44*u**7/525 + 43*u**6/100 + 3*u**5/50 - 44*u**4/15 - 4*u**3/5 + 3*u**2 - 2*u + 184. Solve y(p) = 0 for p.
-1, -3/44, 2
Solve 682 - 7212 + 5710*u + 815 + 5*u**2 = 0 for u.
-1143, 1
Let 69/4*m**2 - 21/2*m + 0 - 15/2*m**3 + 3/4*m**4 = 0. What is m?
0, 1, 2, 7
Suppose -4/3*o**3 + 1004/3*o + 392 - 176/3*o**2 = 0. Calculate o.
-49, -1, 6
Let d be 98/539 + (-326)/(-22). Let x(o) = -o**4 - o**3 + o + 1. Let f(b) = -12*b**4 - 87*b**3 - 22*b**2 + 47*b - 6. Let k(i) = d*x(i) - 5*f(i). Solve k(s) = 0.
-9, -1, 1/3
Suppose 0 = -2*y - 2*y. Let a be 26/(-221) + (-8)/(2720/(-1876)) - 5. Factor -a*w**2 - 2/5*w**3 + 0 + y*w.
-2*w**2*(w + 1)/5
Suppose -2*n = -p - 0*n - 1, 0 = -5*p - n + 28. Suppose -3*t + 3 = 3*z, z - p*t + 0*t - 7 = 0. Let -3*d**3 - 6*d**2 + 0*d**z + d**2 - 4*d**2 = 0. What is d?
-3, 0
Let s(o) be the second derivative of o**6/600 + 8*o**5/75 + 19*o**4/8 + 15*o**3 + 77*o**2 - 2*o - 32. Let v(c) be the first derivative of s(c). Factor v(a).
(a + 2)*(a + 15)**2/5
What is s in 8*s + 0 + 1/3*s**3 - 25/3*s**2 = 0?
0, 1, 24
Let v(n) = -2*n**2 - 27*n - 7. Let q be v(-11). Determine p, given that -17*p**2 - 3*p**2 - 26*p - 7*p**3 + 8*p**3 - 3*p**3 + q = 0.
-8, -3, 1
Let i(r) be the third derivative of r**6/720 - 77*r**5/90 + 481*r**4/3 + 2704*r**3 - 1373*r**2 - 2*r. Factor i(n).
(n - 156)**2*(n + 4)/6
Let b(c) = -10*c**2 + 130*c - 1042. Let x(n) = 38*n**2 - 519*n + 4181. Let s(m) = -23*b(m) - 6*x(m). Factor s(i).
2*(i - 8)*(i + 70)
Let y(h) be the second derivative of h**5/18 + 74*h**4/27 - 215*h**3/27 + 62*h**2/9 - 1786*h. Find q, given that y(q) = 0.
-31, 2/5, 1
Let c(v) = -v**3 + 24*v**2 - 42*v - 43. Let p be c(22). Let z be (-204)/952*(p + (-21)/9). Factor 1/7*o + 1/7*o**4 - 3/7*o**2 - 1/7*o**3 + z.
(o - 2)*(o - 1)*(o + 1)**2/7
Suppose 96*z - 99 = 87*z. Suppose 29 = 10*b - z. Solve -6/7*r**2 + 0 + 0*r - 3/7*r**b - 9/7*r**3 = 0 for r.
-2, -1, 0
Suppose -5*t + 50 = -4*h, h - 418 = -6*t - 358. Factor 0*p**2 + 2/5*p**3 + 0*p + 2/5*p**4 + h.
2*p**3*(p + 1)/5
Factor -844/15*h - 2/15*h**3 + 282/5*h**2 + 0.
-2*h*(h - 422)*(h - 1)/15
Let i(s) be the second derivative of -81*s**5/100 - 108*s**4/5 - 1152*s**3/5 - 6144*s**2/5 + 1209*s. Factor i(b).
-3*(3*b + 16)**3/5
Solve -9/7*b**3 + 0*b + 0 + 0*b**2 - 3/7*b**5 - 12/7*b**4 = 0 for b.
-3, -1, 0
Let u be (15/2 - -3)*(-102)/(-17). Suppose u*k - 8*k**3 - k**5 + 3*k**4 + 62*k + 2*k**4 - 125*k + 4*k**2 = 0. Calculate k.
0, 1, 2
Factor 4/5*o**2 + 789/5*o + 197/5.
(o + 197)*(4*o + 1)/5
Let c = -12/8515 - -76731/68120. Suppose c*u**2 - 1/8 + 7/8*u - u**4 - 7/8*u**3 = 0. What is u?
-1, 1/8, 1
Let t be 3/(231/11) + (-1)/(-175)*4735. Factor 4/5*o**2 - 76/5*o + t.
4*(o - 17)*(o - 2)/5
What is o in 43*o**2 + 156 + 153*o + 3*o**2 - 49*o**2 = 0?
-1, 52
Let a(h) be the second derivative of -h**6/120 - 197*h**5/40 - 38413*h**4/48 + 6501*h**3/2 - 9801*h**2/2 + 2*h + 5. Factor a(j).
-(j - 1)**2*(j + 198)**2/4
Let o(b) = -11*b**2 - 50*b + 55. Let x(d) = d**2 - 2*d. Let z(w) = -w**2 + 3*w. Let q(n) = 3*x(n) + 2*z(n). Let j(i) = -o(i) - 6*q(i). Factor j(s).
5*(s - 1)*(s + 11)
Find y such that -1/5*y**3 - 2704/5 + 103/5*y**2 - 520*y = 0.
-1, 52
Let s(q) be the third derivative of q**5/210 + 99*q**4/7 + 117612*q**3/7 - 393*q**2. Factor s(j).
2*(j + 594)**2/7
Let u(p) be the third derivative of -1/2184*p**8 - 8/195*p**5 + 4/39*p**4 + 14*p**2 + 4/1365*p**7 + 0*p**3 + 0*p**6 + 0*p + 0. Find t such that u(t) = 0.
-2, 0, 2
Solve 49*g + 39*g + 281 - 145 + 280 + 30*g**2 - 34*g**2 = 0 for g.
-4, 26
Let h = 108150 - 108147. Solve -99/4*q + 15/2*q**2 + 27 - 3/4*q**h = 0.
3, 4
Suppose -1225*w**2 + 192*w - 139*w - 20 - 304*w - 143*w - 146*w = 0. What is w?
-2/5, -2/49
Factor -160*x + 244/3*x**2 - 2/3*x**3 + 0.
-2*x*(x - 120)*(x - 2)/3
Let y(f) be the second derivative of f**6/180 + 17*f**5/120 - 19*f**4/72 - 17*f**3/36 + 3*f**2/2 + 763*f. Factor y(q).
(q - 1)**2*(q + 1)*(q + 18)/6
Let q(z) be the second derivative of z**6/15 - 7*z**5/10 - z**4/2 + 19*z**3/3 + 14*z**2 + 327*z. Factor q(n).
2*(n - 7)*(n - 2)*(n + 1)**2
Let r(b) be the third derivative of b**2 + 0 - 6*b + 1/180*b**5 + 8/9*b**3 - 17/72*b**4. Factor r(c).
(c - 16)*(c - 1)/3
Let h(d) = -2 + d**2 - d - 3 - d**3 + 5 + 1. Let n(u) = 12*u**3 + 80*u**2 - 752*u + 2032. Let o(t) = -16*h(t) - n(t). Factor o(y).
4*(y - 8)**3
Let z = -392245/9 + 44487. Let t = z + -904. Determine i so that -t - 22/3*i**2 - 80/9*i**3 - 32/9*i**4 - 20/9*i = 0.
-1, -1/4
Let s(m) be the first derivative of m**5/30 + 7*m**4/6 - 32*m**3/3 - 80*m**2 - 135. Let y(h) be the second derivative of s(h). Solve y(i) = 0 for i.
-16, 2
Let n(q) be the second derivative of -q**7/1960 - q**6/1260 + 19*q**5/840 - q**4/28 - 41*q**3/6 - 24*q. Let d(a) be the second derivative of n(a). Factor d(r).
-(r - 2)*(r + 3)*(3*r - 1)/7
Let f = 240 - 245. Let g be 3/(-54)*(-23 - f)/9. Suppose -4/9*y - 5/9 + g*y**2 = 0. What is y?
-1, 5
Let o(n) = -n**3 + 37*n**2 + 191*n + 291. Let z be (-24 - -25)*-2*3. Let f(c) = -4*c**3 + 184*c**2 + 952*c + 1456. Let a(u) = z*f(u) + 28*o(u). Factor a(m).
-4*(m + 3)*(m + 7)**2
Let y(h) = 7*h**4 - 17*h**3 - 60*h**2 + 620*h + 1403. Let w(d) = -12*d**4 + 32*d**3 + 122*d**2 - 1240*d - 2805. Let j(f) = 6*w(f) + 10*y(f). Factor j(z).
-2*(z - 10)**2*(z + 2)*(z + 7)
Let q(o) = 2*o**2 + 5*o + 5. Let i be -26 