36 = 0. Let m(y) = c*p(y) - s(y). Factor m(q).
-(q - 1)*(q + 4)
Let f(n) = -3*n - 51. Let i be f(-22). Factor 12 - 4*t + i - 15 - t**2.
-(t - 2)*(t + 6)
Let g(k) be the first derivative of k**5/15 - 2*k**4/3 - 8*k**3/3 + 16*k**2/3 + 80*k/3 - 5765. Factor g(a).
(a - 10)*(a - 2)*(a + 2)**2/3
Let 930*m**3 - 945 + 42*m**4 + 1911*m**2 - 15/2*m**5 + 171/2*m = 0. Calculate m.
-7, -2, -1, 3/5, 15
Factor 6*q - 4/3*q**4 + 68/3*q**3 + 0 + 71/3*q**2.
-q*(q - 18)*(2*q + 1)**2/3
Let w(m) be the third derivative of 5*m**4 - 11/6*m**5 - 1/42*m**7 + 10*m**2 - 15/2*m**3 + 0 + 1/3*m**6 + m. Suppose w(q) = 0. What is q?
1, 3
Suppose 123 + 65 = 47*f. Let i(h) be the first derivative of 18 + 0*h + h**f + 4/25*h**5 + 6/5*h**2 + 28/15*h**3. Determine l so that i(l) = 0.
-3, -1, 0
Let r(v) = -7*v**4 + 38*v**3 - 36*v**2 + 12. Let n(l) = 7*l**4 - 37*l**3 + 35*l**2 + l - 12. Let d(u) = 7*n(u) + 6*r(u). What is q in d(q) = 0?
-4/7, 1, 3
Let u(o) = 0*o + 5*o - 10*o**2 - 3*o**3 - 10*o - 17*o**2 + 17*o + 123. Let z(j) = j**2 + 1. Let g(t) = -u(t) + 3*z(t). Factor g(f).
3*(f - 2)*(f + 2)*(f + 10)
Let y(f) = 5*f**5 + 80*f**4 - 205*f**3 + 115*f**2 + 10*f. Let r(u) = -u**5 - u**4 - u**3 + 2*u**2 + 2*u. Let d(q) = 5*r(q) - y(q). Factor d(c).
-5*c**2*(c - 1)**2*(2*c + 21)
Let b(l) be the first derivative of l**6/15 + 124*l**5/25 + 574*l**4/5 + 13328*l**3/15 + 3294. Solve b(n) = 0 for n.
-34, -14, 0
Let k(c) be the third derivative of -c**6/60 + 8*c**5/15 - 73*c**4/12 + 30*c**3 + 139*c**2 - c - 4. What is g in k(g) = 0?
2, 5, 9
Let t(c) = c**3 + 18*c**2 + 59*c + 44. Suppose 182 = 549*n - 562*n. Let k be t(n). Factor 0 - 3/5*r**k - 6/5*r + 9/5*r**3.
3*r*(r - 1)*(3*r + 2)/5
Let -1/4*o**2 + 9/2*o - 77/4 = 0. What is o?
7, 11
Let c(y) be the third derivative of -225/4*y**3 + y**2 - 705/16*y**4 - 1909/160*y**5 + 0*y - 5/112*y**7 + 53 + 47/32*y**6. Factor c(i).
-3*(i - 10)**2*(5*i + 3)**2/8
Factor -3/5*d**3 - 108*d - 3888/5 + 96/5*d**2.
-3*(d - 18)**2*(d + 4)/5
Find q, given that -46/7*q**3 + 36/7 + 766/7*q**2 - 330/7*q - 178/7*q**4 + 40/7*q**5 = 0.
-2, 1/5, 1/4, 3
Let g(o) be the third derivative of -1/168*o**8 - 8/15*o**5 - 7/30*o**6 - 3/4*o**4 + 20 + 2*o**2 + 0*o - 2/35*o**7 - 2/3*o**3. Let g(h) = 0. What is h?
-2, -1
Factor 65*a - 23*a**3 + 8*a**3 + 75*a**2 - 45*a**3 + 5*a**3 + 205*a.
-5*a*(a - 3)*(11*a + 18)
Suppose 16 = -2*z + r, -2*z + 34 = -5*z + 4*r. Let k be z + -2 + 13 - 31/7. Factor k - 3/7*y**2 + 4/7*y.
-(y - 2)*(3*y + 2)/7
Solve 3924/5*z**2 + 212*z**3 + 4/5*z**5 + 6696/5*z + 124/5*z**4 + 864 = 0 for z.
-20, -3, -2
Let b be (2 - 0)*(24 + (-3363)/152). Factor b + 175/4*x**2 + 95/2*x.
5*(x + 1)*(35*x + 3)/4
Let w = -113 - -266. Let a be (-6)/8*(-272)/w. Factor a - 2/3*h**2 - 2/3*h.
-2*(h - 1)*(h + 2)/3
Factor -12*m**3 - 4*m + 21 - 10*m - 2*m**3 + 3*m - 9*m**2 + 13*m**3.
-(m - 1)*(m + 3)*(m + 7)
Suppose m = 4*u - 3*u + 1505, -4*m = 4*u - 5980. Let a be 50120/m + 16 - (-2)/(-25). Solve 92/3*s**3 + a*s + 40/3 + 4*s**4 + 188/3*s**2 = 0.
-5, -1, -2/3
Factor 19/9*o - 1/9*o**2 - 34/9.
-(o - 17)*(o - 2)/9
Let s(i) = i**2 - 2598*i - 5197. Let z be s(-2). Factor 0 + 4/7*v**z + 0*v**2 - 4/7*v.
4*v*(v - 1)*(v + 1)/7
Suppose 42 = 58*z - 51*z. Let i be (10 - z) + 28/5. Factor -i*j - 16/5*j**3 + 18/5 + 44/5*j**2 + 2/5*j**4.
2*(j - 3)**2*(j - 1)**2/5
Find t, given that 2236*t + 71/6*t**4 + 983/6*t**3 + 1/6*t**5 + 4056 - 10007/6*t**2 = 0.
-39, -1, 4
Let m(h) = -282*h - 138. Let k be m(-3). Suppose -k = 2*t - 712. Factor -1/2*n**t + 0*n + 1/2.
-(n - 1)*(n + 1)/2
Suppose o + 3*o + q - 12769 = 0, -q = -5*o + 15968. Factor -315*i + 42*i**2 - 449 + 134*i - 407*i + o - i**3.
-(i - 14)**3
Let v be (-6)/11 - 3406/(-5720). Let o(w) be the third derivative of 0*w**3 + 3/20*w**5 + 0*w + 18*w**2 - 3/70*w**7 + 0 - 1/4*w**4 + v*w**6. Solve o(h) = 0.
-1, 0, 2/3, 1
Let w(f) be the third derivative of 25*f**8/56 - 137*f**7/42 + 73*f**6/12 + 59*f**5/12 - 185*f**4/12 - 20*f**3 + 502*f**2. Let w(m) = 0. Calculate m.
-1/2, -1/3, 1, 2, 12/5
Let a(k) = -7*k + 6*k**2 + 14*k - 2*k - 4*k + 3. Let u be a(0). Solve 21*m - 6 - 27*m**2 - 3*m**5 + 6*m**u - 497*m**4 + 503*m**4 + 3*m**2 = 0.
-2, 1
Let v(k) be the third derivative of 0*k + 25/24*k**6 + 9/4*k**5 - 31 - 65/3*k**3 - k**2 - 1/42*k**7 - 125/24*k**4. What is c in v(c) = 0?
-1, 1, 26
Factor 56*o**2 + 460*o + 4/3*o**3 - 8464/3.
4*(o - 4)*(o + 23)**2/3
Let o(p) be the second derivative of -3*p**5/40 - 33*p**4/4 - 65*p**3/4 + 12465*p. Factor o(n).
-3*n*(n + 1)*(n + 65)/2
Let p(f) = -15*f**3 - 199*f**2 + 471*f - 320. Let b(n) = 8*n**3 + 104*n**2 - 236*n + 160. Let d(m) = 7*b(m) + 4*p(m). Let d(h) = 0. What is h?
-20, 1, 2
Let f(o) be the first derivative of -64 + 0*o**2 + 3/5*o**5 + 0*o - 9/4*o**4 + 0*o**3. Factor f(m).
3*m**3*(m - 3)
Factor 11 - 5/4*i**2 + i**3 - 7*i.
(i - 2)**2*(4*i + 11)/4
Solve -94/9*i**2 - 16/9 + 380/9*i = 0 for i.
2/47, 4
Let v(u) = 10*u**4 - 130*u**3 - 1090*u**2 - 940*u - 15. Let s(i) = -5*i**4 + 65*i**3 + 545*i**2 + 471*i + 6. Let b(f) = 5*s(f) + 2*v(f). Factor b(d).
-5*d*(d - 19)*(d + 1)*(d + 5)
Let b be (-248)/(-30) + (-22)/33. Let p = b - 104/15. Factor 2 - p*i**2 - 4/3*i.
-2*(i - 1)*(i + 3)/3
Let r(h) = 4*h + 3. Let p be r(-1). Let a(z) = -37*z + 2. Let m be a(p). Suppose -980*u**2 + m*u + 31*u - 245 + 975*u**2 = 0. Calculate u.
7
Let j = -9377 + 9381. Let r(t) be the first derivative of -9/10*t**j - 69/5*t**2 + 36/5*t - 104/15*t**3 - 1. Factor r(y).
-2*(y + 3)**2*(9*y - 2)/5
Factor -26/3 - 8/3*g**2 + 98/9*g.
-2*(g - 3)*(12*g - 13)/9
Let l be (-399)/342 + 1 + 2236/168. Suppose -16/7*q - 2*q**5 - 150/7*q**3 + l*q**2 + 0 + 88/7*q**4 = 0. What is q?
0, 2/7, 1, 4
Let w(u) be the third derivative of -u**5/510 - 1147*u**4/102 - 1315609*u**3/51 + 1748*u**2. Solve w(y) = 0.
-1147
Let y be 32/(-144) + (-304)/(-72). Let r = -173 + 1213/7. Factor -6/7 + 22/7*x - y*x**2 + 12/7*x**3 + 2/7*x**4 - r*x**5.
-2*(x - 1)**4*(x + 3)/7
Suppose 2*j + t = -10 + 13, -2*j - 5*t = 1. Determine g, given that -104*g + 4*g**j - 20 + 4*g - 49*g**2 = 0.
-2, -2/9
Factor -254/3 + 256/3*l - 2/3*l**2.
-2*(l - 127)*(l - 1)/3
Let g be (154 + -154)*(5 - 6) + (-13)/(-6). Factor 1/2*u**3 + 1/2 + 13/6*u + g*u**2.
(u + 1)*(u + 3)*(3*u + 1)/6
Factor -28 + 2/5*z**3 + 102/5*z + 36/5*z**2.
2*(z - 1)*(z + 5)*(z + 14)/5
Let k = 260 + -256. Determine f, given that 0*f**2 - 10*f**2 + 0*f - 8*f**3 + k*f**2 + 2*f = 0.
-1, 0, 1/4
Let l(z) be the first derivative of -z**4/2 - 106*z**3/3 + 497*z**2 + 1098*z + 7978. Factor l(c).
-2*(c - 9)*(c + 1)*(c + 61)
Let a(t) be the second derivative of -1/8*t**3 + 0*t**2 + 0 - 1/80*t**5 + 1/12*t**4 - 10*t. Factor a(g).
-g*(g - 3)*(g - 1)/4
Let m(c) be the first derivative of -c**4/8 - 11*c**3/2 - 163*c + 16. Let x(p) be the first derivative of m(p). Let x(t) = 0. What is t?
-22, 0
Suppose 4*n + 10*v = 13*v + 32, 4*n + v = 16. Suppose 3*s + 2*d = 0, n*d = -4*s + 2*s. Factor -3/2*o**4 + 1/2*o**3 + s + 3/2*o**2 - o + 1/2*o**5.
o*(o - 2)*(o - 1)**2*(o + 1)/2
Determine k, given that 2/7*k**3 - 4374/7 - 114/7*k**2 + 1782/7*k = 0.
3, 27
Suppose 9*w + 2*w = 1001. Factor 4 - 4 + 3*h**2 - 100*h + w*h.
3*h*(h - 3)
Let g(h) = -h + 20. Let s be g(16). Factor -6*r**s - 24*r**3 - 4*r**2 - 9*r**3 + 19*r**3.
-2*r**2*(r + 2)*(3*r + 1)
Let d(o) be the third derivative of o**6/2160 + o**5/720 - o**4/72 + 19*o**3/3 + 50*o**2 - 2*o. Let b(v) be the first derivative of d(v). Factor b(l).
(l - 1)*(l + 2)/6
Suppose 0 = -74*w + 25*w + 294. Suppose -w*z + 4*z = -3*z. Determine t, given that -2/11*t**4 + 2/11*t**5 + 2/11*t**2 + 0*t - 2/11*t**3 + z = 0.
-1, 0, 1
Factor 200*d**2 - 164*d - 564*d**2 + 12 + 18497*d**3 - 18685*d**3.
-4*(d + 1)**2*(47*d - 3)
What is q in -15*q**2 - 140*q**3 + 18 + 3*q**5 - 3*q**2 + 21*q + 116*q**3 = 0?
-2, -1, 1, 3
Let r(j) be the second derivative of -j**5/20 + 53*j**4/12 - 17*j**3 + 532*j - 1. Suppose r(w) = 0. Calculate w.
0, 2, 51
Factor 89738/5*x**2 + 2/5*x**4 + 492840 - 868/5*x**3 + 192696*x.
2*(x - 222)**2*(x + 5)**2/5
Let y = -11420 - -11423. Let z(f) be the third derivative of -1/12*f**4 - 1/30*f**5 + 2/3*f**y + 0 + 10*f**2 + 0*f. Find q, given that z(q) = 0.
-2, 1
Suppose 0 = -163*c + 356*c - 1136*c. Let 44/5*s**3 + 2/5*s**5 - 16/5*s**4 - 48/5*s**2 + c + 18/5*s = 0. Calculate s.
0, 1, 3
Let h(q) = -2*q**2 + 29*q + 28. Let s be h(7). Suppose 9*x