**3/15 - 6*q**2/5 + 1190. Factor u(s).
-s*(s - 6)*(s - 2)/5
Let n(k) = k**2 + 21*k - 53. Let o be n(3). Factor o + 24 - 40*i + 4*i**2 - 7.
4*(i - 9)*(i - 1)
Let d(u) be the first derivative of 2*u**3/15 - 233*u**2/5 + 568. Factor d(x).
2*x*(x - 233)/5
Let w(s) be the first derivative of 8*s + 4/3*s**3 + 165 + 6*s**2. Find m, given that w(m) = 0.
-2, -1
Let a = -8891/4 + 2223. Let t = 1277/4 - 318. Factor -t*y + a*y**2 - 3/2.
(y - 6)*(y + 1)/4
Let 33/2*l**2 - 1225/4 + 35*l - 1/4*l**4 - l**3 = 0. Calculate l.
-7, 5
Let y be -6*3/(-225)*70. Let i = 6735 - 33671/5. Suppose i*g**5 - y*g**2 - 4*g**4 + 36/5*g**3 + 0 + 8/5*g = 0. What is g?
0, 1, 2
Let x be (-26)/(-4) - (-4167)/(-926). Let p(s) be the first derivative of 4/5*s + 0*s**x - 1 - 1/15*s**3. Factor p(m).
-(m - 2)*(m + 2)/5
Let k(o) be the first derivative of -3*o**4/4 + 1836*o**3 + 11025*o**2/2 + 5514*o - 2824. Suppose k(m) = 0. What is m?
-1, 1838
Suppose 22*g + o = 20*g + 28, 2*o + 8 = 0. Suppose -7 - 3*m**2 - m**2 - g*m + 3 + 0 - 8 = 0. What is m?
-3, -1
Let w(b) be the first derivative of 4/3*b - 1/27*b**6 - 4/9*b**3 - 7/9*b**2 + 189 + 0*b**5 + 4/9*b**4. Suppose w(r) = 0. What is r?
-3, -1, 1, 2
Determine d, given that -8/3*d**4 - 44/3 + 82*d + 38*d**3 - 308/3*d**2 = 0.
1/4, 1, 2, 11
Let j(l) = -2*l**2 + 14*l - 7. Let b be j(3). Suppose -273*v**2 - 2*v**5 - 20*v**4 - 239*v**2 + 82*v**4 - 522*v**3 - b*v**3 + 91*v**3 = 0. What is v?
-1, 0, 16
Solve -94/5*d**3 - 14/15*d**5 + 136/15*d**4 + 104/15*d**2 + 0 + 56/15*d = 0.
-2/7, 0, 1, 2, 7
Solve -12 - 1/5*s**2 + 17/5*s = 0 for s.
5, 12
Let q(g) be the third derivative of -g**8/168 + 13*g**7/420 + 3*g**6/80 - 47*g**5/120 + 35*g**4/48 - g**3/2 + 17*g**2 + 12*g. Let q(s) = 0. What is s?
-2, 1/4, 1, 3
Let p(i) = 19*i - 129. Let z be p(7). Suppose 58*f**3 - 4*f**5 + 39*f + 24*f**3 - 310*f**2 + 205 - 25 + 147*f + 10*f**z = 0. Calculate f.
-5, -1/2, 2, 3
Let o(u) = -3*u**3 + 2*u + 2. Let b(t) = t**3 - 4 - 13 + 23 - t**2 - 7 - t. Let q = 26 + -31. Let j(a) = q*o(a) - 10*b(a). Find r such that j(r) = 0.
-2, 0
Factor -679*w - 6*w**3 - 542*w**2 - 4840*w + 855*w + 12*w**3 + 8*w**3 - 1288.
2*(w - 46)*(w + 7)*(7*w + 2)
Let i(j) be the second derivative of -j**7/63 - j**6/9 - 2*j**5/15 + 16*j + 17. Factor i(z).
-2*z**3*(z + 1)*(z + 4)/3
Let o be ((-6)/(-4))/(242/44 + -5). Let u(t) be the first derivative of -2/5*t**5 - 14 - o*t**4 - 10*t**2 - 6*t - 8*t**3. Solve u(p) = 0.
-3, -1
Suppose -27*x = -10*x - 34. Factor 22*o**2 - 3*o**2 - 20 - 55*o**3 - x*o**4 + 15*o**5 + 26*o**2 + 20*o - 3*o**4.
5*(o - 1)**3*(o + 2)*(3*o + 2)
Let 6/7*j**2 + 60*j + 414/7 = 0. Calculate j.
-69, -1
Let z = 4/27 - -32/27. Suppose -4*l + y + 7 = 0, 0 = l + 14*y - 12*y + 14. Factor z - 8/3*c**2 + l*c**3 + 4/3*c**4 + 0*c.
4*(c - 1)**2*(c + 1)**2/3
Let j(p) = -17*p**2 - p - 1. Let z(r) = 101*r**2 - 20*r - 42. Let f(l) = -6*j(l) - z(l). Solve f(n) = 0 for n.
-24, -2
Suppose -4*p - 7*q + 11*q + 444 = 0, 0 = -p - 5*q + 99. Let a = -427/4 + p. Let -6*l**2 - 9/2*l**3 + 3/4*l**5 - a*l + 0 + 0*l**4 = 0. Calculate l.
-1, 0, 3
Let m(h) be the first derivative of -13*h**2 - 4/15*h**5 + 11/6*h**4 - 30 + 0*h + 2*h**3. Let z(a) be the second derivative of m(a). What is v in z(v) = 0?
-1/4, 3
Suppose 4*v = 5*c + 800 - 2252, -3*c + 867 = -v. Find s such that -428*s - 8*s**4 + 104*s + c*s**2 - 491 + 104*s**3 - 4*s**5 - 589 = 0.
-3, 2, 5
Let h(b) be the first derivative of -8/9*b**3 - 4/15*b**5 + 4*b + 8/3*b**2 - 24 - 4/3*b**4. Suppose h(c) = 0. What is c?
-3, -1, 1
Let 24 + 480*h**2 + 171*h**3 - 24 - 166*h**3 = 0. What is h?
-96, 0
Suppose -115*f + 131*f = 0. Let a(r) be the first derivative of 12 + f*r + 1/2*r**2 + 1/18*r**3. Determine i, given that a(i) = 0.
-6, 0
Let j = 2/7 + -4/63. Let n = -2628/19 + 7960/57. What is z in 2/9*z**2 - n + j*z = 0?
-3, 2
Let w = 8/13 + -463/858. Let h(m) be the second derivative of 0*m**2 - m - w*m**4 + 0 - 2/33*m**3. Factor h(z).
-2*z*(5*z + 2)/11
Let t(o) be the second derivative of -25 + 5/72*o**4 + 0*o**2 - 2*o - 5/12*o**3. Solve t(k) = 0 for k.
0, 3
Let v = 1787493/119867 - 35/10897. Factor -v*x + 3362/11 + 2/11*x**2.
2*(x - 41)**2/11
Let p = 527 - 2597/5. Let c = -147/20 + p. Factor -c*y**2 + 0 + 1/4*y.
-y*(y - 1)/4
Suppose -27*c = -33*c + 18. Factor 564*k + 214*k**c - 19*k**3 + 120 - 1234*k**2 + 1792*k**2 + 21*k**4.
3*(k + 2)**2*(k + 5)*(7*k + 2)
Let f(z) = -43*z - 255. Let i be f(-6). Let t**5 - 94*t**4 + 97*t**4 - 2*t + t**i - 3*t**2 + 0*t**5 = 0. Calculate t.
-2, -1, 0, 1
Let z be (-16)/224 - (-226)/28. Suppose -z = -655*x + 651*x. Factor 15/7*j**x - 16/7 + 8/7*j**3 + 1/7*j**4 - 8/7*j.
(j - 1)*(j + 1)*(j + 4)**2/7
Let d(v) = 3*v**2 + 123*v + 132. Let f(b) = -5*b**2 - 121*b - 132. Let g(k) = -k**2 + 3*k + 2. Let n be g(2). Let i(p) = n*d(p) + 3*f(p). Factor i(h).
-3*(h - 44)*(h + 1)
Determine o so that 30*o + 3/2*o**3 + 0 - 27/2*o**2 = 0.
0, 4, 5
Suppose 30*d - 37*d + 21 = 0. Factor p**4 + 17*p**2 + 12*p**2 - 25 + 30*p**d - 9*p**2 + 4*p**4 - 30*p.
5*(p - 1)*(p + 1)**2*(p + 5)
Let z(b) be the third derivative of -1/4*b**6 + 1/30*b**7 + 0*b + 29/60*b**5 + 0 + 0*b**3 + 29*b**2 - 1/4*b**4. Suppose z(j) = 0. Calculate j.
0, 2/7, 1, 3
Determine c so that 1/2*c**2 + 1615/2*c + 807 = 0.
-1614, -1
Factor -2/7*y**2 - 92/7 - 50/7*y.
-2*(y + 2)*(y + 23)/7
Let k be (28 - -2)*364/(-39). Let u be k/(-96) + ((-3)/(-9) - 1). Factor -u*r**3 + 29/4*r - 39/4*r**2 - 5/4.
-(r + 5)*(3*r - 1)**2/4
Let a(v) = -6*v**3 + 10*v**2 + 15*v + 6. Let b be a(-3). Let o = -3615/17 + b. What is t in o*t**5 - 8/17*t**3 + 0*t**2 + 0*t - 8/17*t**4 + 0 = 0?
-2/3, 0, 2
Let x(i) be the second derivative of 3*i**4/8 + 76*i**3/3 - 17*i**2 + i + 967. Solve x(c) = 0 for c.
-34, 2/9
Find z such that 1/7*z**2 + 195/7 - 44/7*z = 0.
5, 39
Let z be (-2)/(-10)*(-40)/(-12) - 10/(-12). Factor 11/6*o**2 + 1/6*o**3 + z + 19/6*o.
(o + 1)**2*(o + 9)/6
Suppose -192*b = -87*b - 59*b - 138. Let 10/21*l**b - 2/21*l**5 + 0*l + 8/21*l**4 + 0*l**2 + 0 = 0. What is l?
-1, 0, 5
Suppose 0 = -354*o + 650*o - 325*o + 116. Let i(h) be the first derivative of 14 - o*h**2 - 32*h + 4/3*h**3. Factor i(p).
4*(p - 4)*(p + 2)
Let u(o) be the first derivative of 4*o**4/7 - 94*o**3/21 - 6*o**2/7 - 1108. Factor u(x).
2*x*(x - 6)*(8*x + 1)/7
Let d(q) = -9*q + 49. Let w be d(3). Find p such that -26*p - 8 - 202*p**3 + 198*p**3 + 3*p**4 - w*p**2 - 3*p**2 = 0.
-1, -2/3, 4
Suppose 2*f = -4*d - 72, -d + 4*f + 32 = -2*d. Let y be d/(-6)*(-3)/(-4). Factor -5*b**2 + 18*b + 0*b**2 + 6 + 21 + 8*b**y.
3*(b + 3)**2
Let s be (21/(-9) + 0)*(-675)/525. Factor -1/2*c**2 - 1/4*c**5 + 0*c**4 - 3/4*c + c**s + 1/2.
-(c - 1)**3*(c + 1)*(c + 2)/4
Suppose -7*d + 4*d + 154 = j, -2*d - 4*j + 116 = 0. Factor 83 - 5*v**4 + 24*v**3 - 45 + 40*v + v**4 - d - 48*v**2.
-4*(v - 3)*(v - 1)**3
Factor 5/4*w**3 + 1575 + 4245/4*w + 365/2*w**2.
5*(w + 3)**2*(w + 140)/4
Let m be 4/8 + 34/4. Let v be 22*(-1)/(12/12 - -1) + 13. Let -m - 15/2*k - 3/2*k**v = 0. What is k?
-3, -2
Let v = -11 + 5. Let s be (2 - 5 - v)/((-6)/(-4)). Find q such that 11*q**2 + 12*q**2 + 10*q**2 - 29*q**s + 8*q = 0.
-2, 0
Let m = 1264 + -1262. Let g(a) be the second derivative of 12*a + 0*a**m - 1/4*a**4 + 3/2*a**3 + 0. Factor g(t).
-3*t*(t - 3)
Factor -88/7 - 1/7*a**4 - 17/7*a**3 - 78/7*a**2 - 20*a.
-(a + 2)**3*(a + 11)/7
Factor 1/2*l**2 - 315 - 61/2*l.
(l - 70)*(l + 9)/2
Factor -19*n + 2*n**2 - 67*n + 60*n - 36*n - 136 - 224.
2*(n - 36)*(n + 5)
Suppose 72 - 46 = -a + 3*a. Let r(g) be the second derivative of -4/27*g**3 + 0 + 1/54*g**4 - a*g + 1/3*g**2. Let r(t) = 0. Calculate t.
1, 3
Let c = -53353/2 - -26690. Let h(l) be the second derivative of 3/10*l**5 + 2*l + c*l**2 - 9 + 12*l**3 + 13/4*l**4. Factor h(b).
3*(b + 3)**2*(2*b + 1)
Let a = 3339499/7 - 477071. Determine w so that 256/7 + 96/7*w - a*w**3 + 0*w**2 = 0.
-4, 8
Let h = 21/559 + -701/33540. Let a(b) be the second derivative of 0 + 1/15*b**3 - h*b**4 - 1/10*b**2 + 22*b. Factor a(s).
-(s - 1)**2/5
Let l(n) = n + 2. Let x(m) = m**4 + 5*m**3 + 9*m**2 + 4*m - 4. Let w(p) = 6*l(p) + 2*x(p). Factor w(i).
2*(i + 1)**3*(i + 2)
Factor -168*w + 4*w**4 - 416/7*w**3 + 244*w**2 + 0.
4*w*(w - 7)**2*(7*w - 6)/7
Let j(x) = -x**3 - 10*x**2 - 17*x + 15. Let v be j(-3). Suppose -4/15 - 22/15*u - 14/15*u**v - 32/15*u**2 = 0. Calculate u.
-1, -2/7
Find w such 