**6/5 - 13623*x**5 - 201241*x**4/6 - 33368*x**3 - 16641*x**2 - 829*x - 1. Find c such that v(c) = 0.
-129, -1/2
Let s(v) = -v - 9*v**3 + 10*v**3 + 35*v**2 - 7 - 28*v**2. Let q(u) = -2*u**3 - 11*u**2 + 2*u + 11. Let p(j) = 5*q(j) + 7*s(j). Let p(d) = 0. What is d?
-2, -1, 1
Let v be 12/(-54) - (-38)/9. Suppose -i + 14 = 4*m + v, 0 = 4*m - 4*i - 20. Let -20 + 0*k + 6*k + 17 - m*k**2 = 0. What is k?
1
Let m(d) = -60*d - 960. Let n(v) = -v**3 + 46*v**2 + 51*v - 204. Let a be n(47). Let s be m(a). Solve -8/3*u**2 + 1/2*u + 5/6*u**3 + s = 0 for u.
0, 1/5, 3
Suppose -41 = -6*s - 11. Let i(y) = 8*y**2 - 17*y - 12. Let n(k) = -k**2 + 3*k + 1. Let u(v) = s*i(v) + 35*n(v). Factor u(d).
5*(d - 1)*(d + 5)
Factor 4/9*s**2 + 473344/9 + 2752/9*s.
4*(s + 344)**2/9
Let f(w) be the first derivative of -5*w**4/36 - 17*w**3/27 + 22*w**2/9 + 20*w/9 + 6207. Factor f(z).
-(z - 2)*(z + 5)*(5*z + 2)/9
Let a(z) be the third derivative of -z**8/64 - z**7/35 + 49*z**6/160 + 7*z**5/40 - 3*z**4/2 + 28*z**2 - 24*z. Let a(n) = 0. What is n?
-3, -8/7, 0, 1, 2
Let q(x) be the first derivative of 10*x**6/57 + 62*x**5/95 + 31*x**4/38 + 14*x**3/57 - 5*x**2/19 - 4*x/19 - 1374. Find k such that q(k) = 0.
-1, -1/2, 2/5
Let o = 65/337 + 893/2359. Let c(d) be the first derivative of 44/21*d**3 + 2/35*d**5 + 31 - 24/7*d**2 - o*d**4 + 18/7*d. Suppose c(q) = 0. What is q?
1, 3
Let p = 9426/7 - 47491/42. Let s = -2581/12 + p. Factor 0 - 3/4*q**2 + s*q.
-3*q*(q - 1)/4
Let w(r) = r**2 - 7*r + 16. Let v be w(4). Let n be (-80)/150*(-5)/v. Find c such that -3*c + n + 7/3*c**2 = 0.
2/7, 1
Let w(p) be the first derivative of -p**8/560 + p**7/140 + 29*p**6/120 - 3*p**5/4 + 116*p**3/3 - 166. Let y(k) be the third derivative of w(k). Factor y(c).
-3*c*(c - 6)*(c - 1)*(c + 5)
Let u = -741387/4 - -185349. What is n in -u + 5/4*n**2 - 3/4*n - 1/4*n**3 = 0?
-1, 3
Let f(c) be the second derivative of -c**5/10 - 15*c**4/2 - 128*c**3/3 - 84*c**2 + 4935*c. Factor f(k).
-2*(k + 1)*(k + 2)*(k + 42)
Let f(s) be the third derivative of -s**6/48 - 31*s**5/2 - 4805*s**4 - 2383280*s**3/3 + 22*s**2 + 3. Factor f(u).
-5*(u + 124)**3/2
Factor -4459*s**2 + 2229*s**2 - 7*s - 15 - s**3 + 2237*s**2.
-(s - 5)*(s - 3)*(s + 1)
Let g(f) = -f**3 - 49*f**2 - 240*f - 21. Let n(l) = -3*l**3 - 52*l**2 - 240*l - 28. Let r(z) = 4*g(z) - 3*n(z). Factor r(m).
5*m*(m - 12)*(m + 4)
Let q(v) = -v. Let x(j) = -j**2 + 11*j - 5. Suppose -108 = 5*a - 2*a. Let z = -31 - a. Let b(l) = z*q(l) + x(l). Suppose b(i) = 0. Calculate i.
1, 5
Suppose 2112*f + 793 = 2173*f. Let 27/2*d - 1/2*d**2 - f = 0. Calculate d.
1, 26
Factor 0 - 1/3*x**4 + 1600/3*x - 12*x**3 - 80*x**2.
-x*(x - 4)*(x + 20)**2/3
Let o be -5 - (-1 + (-1392)/240). Let -6/5 - 18*s**2 - 48/5*s**4 + o*s**5 + 96/5*s**3 + 39/5*s = 0. Calculate s.
1/3, 1, 2
Let v(q) be the second derivative of -q**6/480 + q**5/30 + q**4/96 - q**3/3 - 15*q**2/2 + 3*q - 10. Let k(g) be the first derivative of v(g). Solve k(s) = 0.
-1, 1, 8
Let i(g) be the third derivative of -g**6/120 - 19*g**5/15 + 235*g**4/24 - 79*g**3/3 - 2127*g**2. Factor i(p).
-(p - 2)*(p - 1)*(p + 79)
Factor 0 + 16/5*m**2 - 2/5*m.
2*m*(8*m - 1)/5
Let i = 46350 + -185399/4. Let f = -6 + 8. Factor 0 - 1/4*w**3 - 1/4*w**4 + 1/4*w**f + i*w.
-w*(w - 1)*(w + 1)**2/4
Suppose 3*q + t - 4 = 18, 4*t - 7 = -3*q. Factor 4*y**2 - 8*y - q*y**2 + 3*y**2.
-2*y*(y + 4)
Let l(j) = -387*j - 774. Let k be l(-2). Factor 0 + k*v + 5/6*v**4 - 5/6*v**2 + 0*v**3.
5*v**2*(v - 1)*(v + 1)/6
Let f = 222 - -686. Let b = f + -4526/5. Find o such that b*o - 2/5*o**2 + 0 = 0.
0, 7
Suppose 0 = -y - 4*y + 10. Suppose -2*l - 2*z = -0*z - 8, y*z = -3*l + 12. Determine q so that -q**2 - 4*q + 0*q + 7*q**2 - l*q**2 = 0.
0, 2
Factor -155 - 163/2*i - 2*i**2.
-(i + 2)*(4*i + 155)/2
Let i(q) be the second derivative of -1/3*q**4 - 2/15*q**5 - 24*q + 1/20*q**6 + 0*q**3 + 0 + 10*q**2. Let w(x) be the first derivative of i(x). Factor w(v).
2*v*(v - 2)*(3*v + 2)
Let r(c) = c**3 - 27*c**2 - 26*c - 54. Let p be r(28). Let j be 1/p*((-41)/9 + 5). Solve 0*y + 0*y**2 + j*y**3 + 0 + 0*y**4 - 2/9*y**5 = 0 for y.
-1, 0, 1
Let g = 6409/1880 - 713/235. Determine a so that 105/4*a + g*a**2 + 3675/8 = 0.
-35
Let l be ((-1573)/39 - 2/(-3))*-3. Suppose 102*p + l*p = 233*p. Suppose -2/5*m**2 + p + 3/5*m - 1/5*m**3 = 0. What is m?
-3, 0, 1
Determine t, given that 57*t**2 - 3*t**2 - 2*t**4 + 113*t**2 + 250*t**3 - 221*t - 54*t**2 - 111 - 29*t**3 = 0.
-1, -1/2, 1, 111
Let u = -552236 + 552238. Let 15/4*a - 3/4*a**u - 3 = 0. Calculate a.
1, 4
Suppose 4*l + 5*d = 282, 42 + 33 = l - d. Let y be (9/(-6) - 0)/(l + -76). Factor 3/4*t - 3*t**2 + y + 7/4*t**3.
(t - 1)**2*(7*t + 2)/4
Let u(z) be the first derivative of 2*z**6/3 + 72*z**5/5 + 96*z**4 + 640*z**3/3 - 1045. Factor u(j).
4*j**2*(j + 4)**2*(j + 10)
Let v be 8 + 35/(0 + -7). Suppose v*p - 3*l - 15 = 0, -p + 4*l + 16 = p. Solve 2/3*c**2 - 8/3 + p*c = 0 for c.
-4, 1
Let x(z) be the first derivative of 243*z**5/5 + 735*z**4/4 + 249*z**3 + 261*z**2/2 + 6*z - 522. Factor x(k).
3*(k + 1)**3*(81*k + 2)
Let r(s) = 43*s + 1480. Let d be r(-34). Let y(j) = j - 1. Let z be y(3). Factor -z*g**2 + 4*g**2 - 7*g**2 - 15*g**3 + 2*g**4 + d*g**4.
5*g**2*(g - 1)*(4*g + 1)
Let h(r) be the third derivative of r**7/15120 + r**6/2160 - 47*r**4/8 + 14*r**2 + 3. Let x(v) be the second derivative of h(v). Factor x(t).
t*(t + 2)/6
Let a(c) be the second derivative of -3/20*c**5 - 2*c**4 - 3 - 24*c**2 + 9*c - 10*c**3. Let a(h) = 0. What is h?
-4, -2
Let y(i) be the second derivative of 14*i - 46/15*i**3 + 0 + 1/6*i**4 + 9/5*i**2. Determine o, given that y(o) = 0.
1/5, 9
Let l = 1879/762 - -51/254. Factor 20/3*s**3 - l*s**2 + 0*s + 0 + 28/3*s**4.
4*s**2*(s + 1)*(7*s - 2)/3
Let c(b) be the first derivative of -2*b**3/21 - 48*b**2/7 - 760*b/7 - 1408. Factor c(z).
-2*(z + 10)*(z + 38)/7
Let c be (3 - -1) + 3 + 50 + -57. Let z(b) be the second derivative of 4*b + 0*b**2 - 1/3*b**3 + c - 1/12*b**4. Factor z(f).
-f*(f + 2)
Let g be 138/(-161)*(-2)/((-510)/(-105)). Suppose 2*k + 0 = 10. Factor 2*z**4 + 36/17*z**3 + 4/17*z**2 - 14/17*z + 10/17*z**k - g.
2*(z + 1)**4*(5*z - 3)/17
Let x be ((-29)/(-10) + -2)/(12960/10800). Factor 12*j**2 - 6*j + x.
3*(4*j - 1)**2/4
Let a(t) be the third derivative of -t**8/1260 - t**7/126 - 7*t**6/270 - t**5/30 + 11*t**3/2 + 151*t**2. Let w(o) be the first derivative of a(o). Factor w(f).
-4*f*(f + 1)**2*(f + 3)/3
What is o in 12*o**2 - 196*o + 68*o**3 - 100 - 246 + 417 - 4*o**4 - 207 = 0?
-1, 2, 17
Let v(x) = -8*x**2 - 2180*x - 3180. Let j(y) = -2*y**2 - 436*y - 636. Let w(i) = 16*j(i) - 3*v(i). Factor w(k).
-4*(k + 53)*(2*k + 3)
Find m such that 2/11*m - 1/11*m**2 - 1/11 = 0.
1
Let o(c) be the second derivative of -5*c**4/48 + 5*c**3/8 + 945*c**2/4 + c + 36. Solve o(a) = 0.
-18, 21
Factor 0 - 74/3*c**2 + 2/3*c**4 + 40/3*c - 13/3*c**3.
c*(c - 10)*(c + 4)*(2*c - 1)/3
Let q = -480 + 484. Suppose 0 = q*w + 6*w - 40. Let -2*m**w - 17/2*m**3 - 13/2*m - 12*m**2 - 1 = 0. Calculate m.
-2, -1, -1/4
Let 2251*f**2 + 2253*f**2 + 2249*f**2 + 13*f - 40 - 9008*f**2 + 2254*f**2 = 0. What is f?
5, 8
Let s(y) be the third derivative of y**7/1008 + 41*y**6/720 - 5*y**5/72 + 49*y**3/6 - 170*y**2. Let v(o) be the first derivative of s(o). Solve v(f) = 0 for f.
-25, 0, 2/5
Let f(y) be the second derivative of 9 - 2*y - 1/6*y**4 - 2/11*y**2 + 13/33*y**3. Suppose f(n) = 0. What is n?
2/11, 1
Suppose 0 - 45/2*k - 159/4*k**2 - 9/4*k**4 - 79/4*k**3 + 1/4*k**5 = 0. What is k?
-3, -2, -1, 0, 15
Let j(w) be the third derivative of w**8/10080 + w**7/168 + 13*w**6/180 + 2*w**5 - 21*w**2 - w. Let n(s) be the third derivative of j(s). Factor n(z).
2*(z + 2)*(z + 13)
Let k(w) be the second derivative of 4*w**6/195 + 27*w**5/130 - 11*w**4/78 - 9*w**3/13 + 7*w**2/13 + 151*w. Determine v so that k(v) = 0.
-7, -1, 1/4, 1
Suppose -2*s**4 + 1187*s**3 + 1031*s**3 + 122*s**2 - 2338*s**3 = 0. Calculate s.
-61, 0, 1
Suppose -224*u = -2033*u + 3618. Suppose 0 + 6/7*v**u - 6/7*v**4 + 8/7*v - 1/7*v**5 - v**3 = 0. Calculate v.
-4, -2, -1, 0, 1
Let k = -1/904 - 225091/4520. Let c = -991/20 - k. Factor -1/4 - c*m**3 + 1/4*m + 1/4*m**2.
-(m - 1)**2*(m + 1)/4
Let w = -51 + 54. Suppose g + w - 5 = 0. Let -4*m**3 + 6*m**2 + 5*m**2 - 13*m**g + 10*m**2 = 0. What is m?
0, 2
Factor 1/2*s**2 + 0 - 75*s.
s*