4 - -3) + -6. Let o = 6071/10 + b. Let o + 3/5*m**2 - 24/5*m = 0. What is m?
4
Let s(o) be the second derivative of 0 + 0*o**6 + 1/42*o**7 + o - 1/6*o**4 - 1/5*o**5 + o**2 + 1/2*o**3. What is p in s(p) = 0?
-1, 1, 2
Let l(t) be the third derivative of -t**7/5040 + 17*t**6/2160 - 31*t**5/720 - 35*t**4/6 + t**2 - 23*t. Let y(m) be the second derivative of l(m). Factor y(x).
-(x - 1)*(3*x - 31)/6
Let d = 24317 + -24314. Let b(x) be the third derivative of -1/160*x**6 - 5/12*x**4 + 23/240*x**5 + 47*x**2 + x + 0 - 2/3*x**d. Factor b(t).
-(t - 4)**2*(3*t + 1)/4
Find k such that -101/3*k**2 + 392/3*k - 388/3 + 1/3*k**3 = 0.
2, 97
Suppose -6*s + s = 2*v - 105, -v + 35 = -s. Let l = 50 - v. Solve -15 - 29*y**2 - 5*y**4 + 30*y**3 - l*y**2 + 50*y - 21*y**2 = 0 for y.
1, 3
Suppose 6*t - 26 = 3*g + 8*t, 5*g - 90 = 5*t. Factor 28/5*b + 2/5*b**g - 64/5.
2*(b - 2)*(b + 16)/5
Let g(o) = -3*o**4 - 21*o**3 - 25*o**2 - 14*o - 2. Let s(d) = 4*d**4 + 31*d**3 + 37*d**2 + 21*d + 3. Let v = -7 - -12. Let l(j) = v*s(j) + 8*g(j). Factor l(r).
-(r + 1)**3*(4*r + 1)
Suppose -391*j - 2272 + 4979 = 1143. Factor 2/19*w**j + 70/19*w**2 - 26/19*w**3 + 98/19*w + 0.
2*w*(w - 7)**2*(w + 1)/19
Let r be 3*(7 + 66/(-18)). What is h in -3*h - 8*h**3 - r*h**2 - 3*h - 12*h**2 - 6*h + 2*h**4 = 0?
-1, 0, 6
Let t(o) be the second derivative of o**6/30 - o**5/5 + o**4/6 + 2*o**3/3 - 3*o**2/2 + 175*o + 2. Suppose t(i) = 0. Calculate i.
-1, 1, 3
Let n(j) = 600*j + 13202. Let p be n(-22). Solve 12/5*f + 4/5*f**p - 72/5 = 0.
-6, 3
Let x = 227561 + -910209/4. Suppose 5/4*l**4 + 0 - x*l**3 - 10*l + 35/2*l**2 = 0. What is l?
0, 1, 2, 4
Determine j so that 65/8*j + 1/8*j**5 + 99/4*j**3 - 49/2*j**2 + 0 - 17/2*j**4 = 0.
0, 1, 65
Let c(r) be the first derivative of -256/7*r**2 + 16384/7*r + 239 + 4/21*r**3. Factor c(n).
4*(n - 64)**2/7
Let s(k) = k**3 + 45*k**2 + 44*k + 3. Let t = -316 - -272. Let f be s(t). Solve -1/2*v**f - 1/2*v**2 - 1/6*v + 0 - 1/6*v**4 = 0.
-1, 0
Let w(v) = 13*v**3 - 23*v**2 - 131*v - 120. Let b(c) = 7*c**3 - 15*c**2 + 5*c**2 - 8 - 3*c**2 - 50*c - 52 - 15*c. Let p(l) = -5*b(l) + 3*w(l). Factor p(d).
4*(d - 5)*(d + 1)*(d + 3)
Suppose 5*o - 23 = n, -18*n + 2*o - 37 = -63. Suppose 28/13 - 2/13*j**n - 10/13*j = 0. Calculate j.
-7, 2
Let j be (-90)/(-420)*(-98)/63*-9. Factor 70*s**2 - 2209/2 + 6439/4*s + 3/4*s**j.
(s + 47)**2*(3*s - 2)/4
Let s(q) be the third derivative of -1/8*q**6 + 0*q + 0*q**3 + 111*q**2 + 5/336*q**8 - 5/12*q**4 + 0 + 1/42*q**7 - 5/12*q**5. Factor s(k).
5*k*(k - 2)*(k + 1)**3
Determine f, given that -52/3*f**2 + 28/3*f + 23/3*f**3 + 16/3 - f**4 = 0.
-1/3, 2, 4
Let t(h) = -20*h + 23. Let d(i) = 5*i - 6. Let y(w) = 26*d(w) + 6*t(w). Let k be y(2). Let 0 + 9/7*f - 3/7*f**k = 0. What is f?
0, 3
Suppose 5*g - 16 = r, 7*r + 5*g = 4*r + 32. Let z(m) be the second derivative of 1/2*m**3 + 3/4*m**2 + 0 + 1/8*m**r - 2*m. Find c such that z(c) = 0.
-1
Let w(z) be the first derivative of -z**6/3 - 2*z**5/5 + z**4/2 + 2*z**3/3 - 740. Factor w(c).
-2*c**2*(c - 1)*(c + 1)**2
Let b(z) = 3*z**4 + 235*z**3 - 694*z**2 - 926*z - 4. Let t(n) = -11*n**4 - 705*n**3 + 2083*n**2 + 2777*n + 14. Let w(y) = 21*b(y) + 6*t(y). Factor w(c).
-3*c*(c - 232)*(c - 4)*(c + 1)
Suppose 12 = -5*m - n, -2 = 4*m + 2*n + 10. Let b = 7 + m. Factor -4 - 6*g**4 + 0 + 7*g - 5*g**b + 8*g + 14*g**3 + 6 + 28*g**2.
-(g - 2)*(g + 1)**3*(5*g + 1)
Suppose -2*p = 3*s - p, -4*s - 4*p = 0. Find k, given that 10*k**3 - 7*k**5 - 4*k + 5*k**5 - 4*k + s*k = 0.
-2, -1, 0, 1, 2
Let t(g) be the second derivative of g**4/4 + 19*g**3/2 - 63*g**2 - 196*g + 1. Let t(r) = 0. Calculate r.
-21, 2
Suppose 0 = 134*i - 709 + 307. Determine u so that -1 + 5/4*u**2 + u - 3/4*u**i = 0.
-1, 2/3, 2
Suppose -4 = -0*l + 4*l. Let c be -3 + 0 + 4 - l. Determine r, given that -r**2 - 17*r + 2*r**c - 32 - 3*r**2 + r = 0.
-4
Let i(h) be the first derivative of -h**6/360 - 7*h**5/30 - 9*h**4/8 + 25*h**3/3 - 181. Let y(x) be the third derivative of i(x). Let y(l) = 0. What is l?
-27, -1
Let r(d) = 6*d**2 - 37*d - 70. Let n be r(-2). Find m, given that -92*m**2 + 101*m**2 + 84*m + 224 - n = 0.
-14/3
Let a(z) = -4*z**5 - 4*z**4 - 8*z**3 + 2*z. Let k(f) = -9*f**5 - 7*f**4 - 17*f**3 + f**2 + 5*f. Let y = -63 - -73. Let p(s) = y*a(s) - 4*k(s). Factor p(v).
-4*v**2*(v + 1)**3
Let d be 1*2 + (1659/(-28) - -9). Let a = d - -49. Factor a*h**2 - 3/8*h**5 + 0 + 5/4*h**4 - 3/2*h**3 - 1/8*h.
-h*(h - 1)**3*(3*h - 1)/8
Let w(d) be the first derivative of 0*d**4 - 3/10*d**2 + 45 + 1/10*d**6 - 2/5*d**3 + 0*d + 6/25*d**5. Factor w(y).
3*y*(y - 1)*(y + 1)**3/5
Suppose 0 = -5*x + 44 - 4. Let v(b) = -b**2 + 7*b + 12. Let l be v(x). Solve -8*k**3 - 5*k**2 + k**4 + 8*k**2 + 4*k**l = 0.
0, 3/5, 1
Let s(u) = -2*u**2 + 8*u - 16. Let o be s(2). Let a be o - -6 - ((-308)/16)/7. Suppose 3/4*b**2 - 3/4 - a*b + 3/4*b**3 = 0. What is b?
-1, 1
Let x(o) be the first derivative of o**5/12 + 305*o**4/12 + 18605*o**3/6 + 93*o**2 + 2*o - 150. Let l(a) be the second derivative of x(a). Factor l(w).
5*(w + 61)**2
Let x(o) = 5*o**2 - 9*o - 14. Let s(m) = -m**2 + 1. Suppose -4 = -4*j, 4*n - 4*j + 2 + 26 = 0. Let t(r) = n*s(r) - x(r). Determine a so that t(a) = 0.
-8, -1
Suppose -5*l - 45 = -5*h, -3*h + 4 + 5 = 0. Let o be (-9 - -17) + 3/l. Let -o*n**4 - 3/2*n**5 + 0 + 0*n - 12*n**3 - 6*n**2 = 0. What is n?
-2, -1, 0
Let j = 737 + -854. Let p be 6 + -4 + 216/j. Let 4/13*v**2 + 4/13*v**3 - 6/13*v - 6/13*v**4 + p + 2/13*v**5 = 0. What is v?
-1, 1
Let s be (-3)/(-3 + (-48)/(-20)). Suppose s*m - 9 = 11. Factor -4*t**3 - 4*t**3 + m*t**2 - 6*t**3.
-2*t**2*(7*t - 2)
Let k be -1 + (-30)/(-18) - 615/(-9). Let t be (-5)/(490/(-4))*(k + -55). Suppose 2*q - t*q**2 - 12/7 = 0. What is q?
3/2, 2
Suppose -3*d = 5*z + 18, -5 = 2*z + 1. Let v be 18*(d/(-3) + 0). Solve 6*o**2 + 11*o**5 + 11*o**3 - 8*o**3 - 14*o**5 - v*o**4 = 0 for o.
-2, -1, 0, 1
Let b = -454 - -916. Let y = b - 459. Find w, given that -14/9*w**4 + 2/3*w**y + 2/3*w**5 + 0 - 4/9*w + 2/3*w**2 = 0.
-2/3, 0, 1
Let p be (-2)/7 + 60/14. Suppose 4*j = -13*t + 10*t + 280, -4*j - 488 = -5*t. Solve 45*b**p + 34*b**3 + 35*b**3 - t*b**2 + 19*b**3 + 12*b - 49*b**3 = 0 for b.
-2, 0, 2/15, 1
Suppose k + 11 = 4*v, -6*k = -7*k - 2*v + 7. Suppose -3*a + k = -11. Suppose -2/11*x**a + 0 + 4/11*x**3 + 2/11*x**2 - 4/11*x = 0. What is x?
-1, 0, 1, 2
Let v(w) be the second derivative of 10*w**7/147 - 2*w**6/35 - 41*w**5/35 + w**4/7 + 24*w**3/7 - 9*w + 67. Determine b, given that v(b) = 0.
-12/5, -1, 0, 1, 3
Let i = 0 + 2. Let c = 8/26565 + 79631/212520. Factor -3/8*h**i + 9/4 + c*h.
-3*(h - 3)*(h + 2)/8
Let x(y) be the second derivative of 1/10*y**5 - 1/63*y**7 - 2/9*y**3 - 3 + 7*y - 1/45*y**6 + 0*y**2 + 1/18*y**4. What is n in x(n) = 0?
-2, -1, 0, 1
Let w(x) be the third derivative of x**7/525 + 2*x**6/75 + x**5/150 - 7*x**4/10 - 11*x**2 - 17*x. Factor w(k).
2*k*(k - 2)*(k + 3)*(k + 7)/5
Let b = 1/2737 - -4691/2737. Let z(w) be the first derivative of 3/28*w**4 + 2/7*w**3 - 3/2*w**2 + b*w - 18. Factor z(f).
3*(f - 1)**2*(f + 4)/7
Let z(r) be the first derivative of 1/10*r**4 + r**2 - 104 - 4/5*r**3 + 0*r. Factor z(y).
2*y*(y - 5)*(y - 1)/5
Let p(w) = 2*w**2 + 6*w - 26. Let r be p(-7). Determine u, given that -10*u**2 + 44*u + 5*u + r*u**2 - 15*u**2 + 41*u = 0.
-18, 0
Factor -514452 + 1996*f - 5*f**2 - 2551*f - 2575*f + 24607.
-5*(f + 313)**2
Let l(d) be the second derivative of -d**7/6720 + d**5/320 - d**4/6 - d + 4. Let a(q) be the third derivative of l(q). Factor a(g).
-3*(g - 1)*(g + 1)/8
Let p(u) be the third derivative of u**4/24 - 2*u**3/3 - 7*u**2. Let z be p(6). Suppose 5*c**2 - 3*c - 4*c**z + 3*c - 5*c + 6 = 0. What is c?
2, 3
Suppose 0 = -3*o - z - 9, -z + 26 + 20 - 61 = 0. Factor -18/13 + 8/13*y**o + 70/13*y.
2*(y + 9)*(4*y - 1)/13
Let w = 80 - 84. Let i(l) = 7*l**5 + 12*l**4 - 5*l**3 - 14*l**2 - 2*l + 1. Let o(h) = -h**3 + h - 1. Let u(n) = w*o(n) + 4*i(n). Factor u(a).
4*(a - 1)*(a + 1)**3*(7*a - 2)
Let c(k) be the first derivative of -k**4/12 + 4*k**3/3 - 15*k**2/2 - 249*k + 75. Let f(y) be the first derivative of c(y). Find t such that f(t) = 0.
3, 5
Let c = -320 - -481. Suppose a + 2*n - 3 = 0, 15 = 5*a + c*n - 158*n. Determine q, given that 246/5*q**4 + 86/5*q**a + 0 - 6/5*q - 14/5*q**2 + 72/5*q**5 = 0.
-3, -1/3, 0, 1/4
Let t be 0 - 8 - (-14 