vative of 1/330*y**5 - 1/44*y**4 + 2/33*y**3 + 2*y**2 + 0 + 25*y. Factor j(c).
2*(c - 2)*(c - 1)/11
Let d = -3899 - -3904. Let w(o) be the first derivative of 0*o**2 + 15/28*o**4 - d + 1/14*o**6 + 2/7*o**3 + 12/35*o**5 + 0*o. Factor w(p).
3*p**2*(p + 1)**2*(p + 2)/7
Let q(o) be the second derivative of o**7/42 + 14*o**6/3 + 137*o**5/20 - 139*o**4/6 - 4339*o. Suppose q(x) = 0. What is x?
-139, -2, 0, 1
Let z(y) = 4*y**2 - 27*y + 64. Let x(s) = 4*s**2 - 26*s + 64. Let d be (5/2)/(24/(-48)). Let t(w) = d*x(w) + 6*z(w). Factor t(l).
4*(l - 4)**2
Factor -169769*d + 51*d**3 + 112225 + 31749*d - 173*d**3 + 4045*d**2 + 60*d**3 + 32*d**3.
-5*(d - 67)**2*(6*d - 5)
Determine m so that -256/7 + 382/7*m**2 + 2/7*m**5 + 132/7*m - 134/7*m**3 - 18*m**4 = 0.
-2, -1, 1, 64
Let w be (-1)/8 + (-5 - (-486)/48). Let p be (-2)/(-20)*w/3. Let p*t**2 + 1/2*t**3 + 0 + 0*t = 0. Calculate t.
-1/3, 0
Find q, given that 4*q**2 - 8*q**5 + 59 + 43 - 150 - 90*q**3 - 6*q**3 + 52*q**4 + 112*q = 0.
-1, 1/2, 2, 3
Factor 80*g + 5/6*g**4 + 0*g**3 - 130/3*g**2 + 0.
5*g*(g - 6)*(g - 2)*(g + 8)/6
Determine x, given that 10334/7*x + 6892/7 - 6/7*x**2 = 0.
-2/3, 1723
Factor 1719/2*j**3 + 0*j - 3441/4*j**2 + 3/4*j**4 + 0.
3*j**2*(j - 1)*(j + 1147)/4
Let m be (24/((-4752)/(-77)))/((-12)/(-54)). Determine d so that -19/2*d - 19/4*d**2 - 4 + 11/4*d**3 + m*d**4 - 1/4*d**5 = 0.
-1, 2, 8
Find q such that 435/7*q + 3/7*q**2 - 438/7 = 0.
-146, 1
Factor -74*o**2 - 60 - 3*o**3 + 6732 + 104 - 352*o + o**3.
-2*(o - 7)*(o + 22)**2
Suppose 4*w - 42 = -5*z, -w - 3 = -2*z + z. Let r be -4 - (-22 - (-11 + -6)). Let -i + 5 + r - z - i**2 = 0. What is i?
-1, 0
Factor 250/9*l**4 + 2744/9 - 2050/9*l**3 - 6566/9*l + 630*l**2.
2*(l - 4)*(5*l - 7)**3/9
Let u(j) be the third derivative of j**6/360 + 17*j**5/30 + 75*j**4/2 + 2500*j**3/9 - 628*j**2. Let u(h) = 0. What is h?
-50, -2
Let z(o) be the second derivative of o**6/24 - 11*o**5/24 - 35*o**4/48 + 5*o**3/2 + 35*o**2 + 35*o. Let t(v) be the first derivative of z(v). Factor t(i).
5*(i - 6)*(i + 1)*(2*i - 1)/2
Let f = 12433/2 - 6214. Let a(u) be the second derivative of -f*u**4 + 1/3*u**6 - 50/3*u**3 + 0 + 6*u - 20*u**2 + 5/4*u**5. Solve a(k) = 0 for k.
-2, -1/2, 2
Let f be 80/1260 - (-2)/(-7) - 782/(-765). Suppose -4/5 - 2/5*y + f*y**2 + 2/5*y**3 = 0. Calculate y.
-2, -1, 1
Let s(y) = 2*y**2 - 16*y - 15. Let k be s(14). Suppose 7*g - k = 78. Factor g*q + 48*q**2 - 26*q**4 - 17*q + 6*q**4 + 12*q**3.
-4*q*(q - 2)*(q + 1)*(5*q + 2)
Let q(y) be the first derivative of -25*y**6/6 + 323*y**5 + 11075*y**4/4 + 20045*y**3/3 + 6725*y**2 + 2840*y + 6894. Let q(u) = 0. What is u?
-4, -1, -2/5, 71
Suppose 4*g = 3*g + 3. Let p be 1*(6/24 - g/(-4)). Factor p - 4*m - 3*m**2 + 2*m**2 - 5.
-(m + 2)**2
Let h be (((-36)/14)/(-3))/(82/(-5166)). Let z = h - -56. Solve 0*x**z + 0*x + 2/9*x**4 + 2/9*x**3 + 0 = 0.
-1, 0
Let a be ((-112)/(-8) + -7)*3/7. Suppose 2136*f**4 + 180*f**a + 3*f**2 + 691*f**4 + 13500*f**5 - 127*f**4 + f**2 + 0*f**2 = 0. What is f?
-1/15, 0
Let d be 4/5*(-8 - -2)*(-5217)/10434. Let d*r - 3/5*r**2 + 0 + 3/5*r**4 - 12/5*r**3 = 0. What is r?
-1, 0, 1, 4
Let k = 0 + 40. Let y be (-1 - 1/2)/((-15)/k). Factor -2*q**4 + 2*q**5 + 0*q**4 + 5*q**4 + 18*q**2 + 30*q**3 + 11*q**y.
2*q**2*(q + 1)*(q + 3)**2
Let s = 21526/15 - 222239/210. Let y = s + -753/2. Factor -y*f**5 - 32/7*f - 50/7*f**2 - 8/7 - 38/7*f**3 - 2*f**4.
-2*(f + 1)**3*(f + 2)**2/7
Let h(p) be the third derivative of 8/27*p**3 + 1/540*p**6 + 0 + 1/945*p**7 - 1/45*p**5 + 116*p**2 + 0*p - 1/27*p**4. Let h(f) = 0. What is f?
-2, 1, 2
Let i(d) = -d**5 + 16*d**4 - 4*d**3 - 21*d**2. Let k(j) = j**5 - 15*j**4 + 5*j**3 + 21*j**2. Let c(a) = -6*i(a) - 7*k(a). Solve c(s) = 0.
-1, 0, 3, 7
Let p(l) be the first derivative of 2*l**5/3 - 151*l**4/2 + 1052*l**3/3 - 1036*l**2/3 - 464*l - 336. Determine k, given that p(k) = 0.
-2/5, 2, 87
Let c(v) = 4*v**3 + 127*v**2 - 1430*v + 5195. Let x(o) = -o**3 - 42*o**2 + 479*o - 1732. Let q(z) = -6*c(z) - 21*x(z). Suppose q(n) = 0. What is n?
6, 17
Let c(d) = d**3 + 1313*d**2 - 572919*d + 83453455. Let j(n) = 5*n**3 + 5253*n**2 - 2291682*n + 333813821. Let h(b) = -9*c(b) + 2*j(b). Factor h(v).
(v - 437)**3
Let v(h) = 7*h**3 - 4*h**2 - 29*h + 60. Let o(c) = -6*c**3 + c**2 + c. Let q(a) = 2*o(a) + 2*v(a). Factor q(b).
2*(b - 6)*(b - 2)*(b + 5)
Let h be (-36)/(-27)*3/2. Suppose 2*w - 23*k = -28*k + 10, k = -4. Suppose -6*z**2 - 11*z + w*z + h*z**3 - 4*z = 0. What is z?
0, 3
Factor 816 + 2/3*k**2 + 172/3*k.
2*(k + 18)*(k + 68)/3
Find s such that 8397445 + 10*s**3 + 474*s + 687*s**2 - 8397637 + 11*s**3 = 0.
-32, -1, 2/7
Let x(t) be the second derivative of -t**5/20 + 83*t**4/4 - 2604*t**3 + 7688*t**2 - 1354*t. Factor x(s).
-(s - 124)**2*(s - 1)
Factor -390*g**2 - 221*g + 163*g**2 + g**4 + 29*g**3 + 158*g**2 - 124.
(g - 4)*(g + 1)**2*(g + 31)
Determine d, given that 0 + 0*d - 1/5*d**4 + 36/5*d**3 + 37/5*d**2 = 0.
-1, 0, 37
Let t(z) be the third derivative of -z**6/24 + 59*z**5/12 - 2575*z**4/24 + 6125*z**3/6 - 1319*z**2. Solve t(y) = 0.
5, 49
Let o = 93/26 - 14/13. Let d = -58257/4 - -14565. Let 0 + o*f**2 + 7/4*f**3 + d*f = 0. Calculate f.
-1, -3/7, 0
Suppose 5*x - 109 = 4*o, -3*o = 11*x - 10*x - 18. Let h(a) = -6*a**2 + 15*a + 5. Let t(d) = d**2 - d + 1. Let n(z) = x*t(z) + 3*h(z). What is m in n(m) = 0?
-6, -2
Let u be (-3)/(-4) + (4975/700 - (-42)/(-6)). Suppose 72/7 + u*q**4 - 78/7*q**2 + 24/7*q - 24/7*q**3 = 0. Calculate q.
-2, -1, 1, 6
Let y(n) be the first derivative of 1/3*n**5 + 1/3*n**4 + 0*n**3 - 15 + 0*n - 7/30*n**6 + 6*n**2. Let u(l) be the second derivative of y(l). Factor u(a).
-4*a*(a - 1)*(7*a + 2)
Let j(a) be the second derivative of -21/2*a**2 - 29*a + 0 - 1/270*a**5 + 0*a**3 + 1/36*a**4. Let i(v) be the first derivative of j(v). Solve i(l) = 0 for l.
0, 3
Let n be (-11300)/(-35595)*49/35. Determine a so that 14/9*a**3 + 4 - 20/9*a**2 + n*a**4 - 22/3*a = 0.
-3, 1/2, 2
Suppose k - 3*k + 30 = 0. Suppose 14*s - 16*s - 2*m = -6, 4*m = s + 2. Factor -k*p**2 + 16 - 19*p**2 + 4*p**3 + 22*p**s.
4*(p - 2)**2*(p + 1)
Let n(j) be the second derivative of -133*j + 0 - 23/10*j**5 - 1/30*j**6 - 3375/2*j**2 - 60*j**4 - 675*j**3. Factor n(o).
-(o + 1)*(o + 15)**3
Suppose -24*j = -7*j - 238. Let l = -12 + j. Suppose 15 - 4*c - 2 - 6 - 8*c**l - 3 = 0. What is c?
-1, 1/2
Let a(t) be the first derivative of 7*t**2 + 54 + 33/26*t**4 + 2/65*t**5 + 60/13*t + 62/13*t**3. Find k such that a(k) = 0.
-30, -1
Let j(t) be the third derivative of 289*t**8/1176 - 34*t**7/49 - 1577*t**6/420 + 33*t**5/5 + 97*t**4/21 + 8*t**3/7 - t**2 + 5127*t. Find g, given that j(g) = 0.
-2, -2/17, 1, 3
Let m be (-35)/14*(3 - 21/3). Determine h, given that -11*h**2 - m*h - 10*h - 15 + 7*h**2 - 1 = 0.
-4, -1
Let c(t) be the second derivative of -t**4/48 - 31*t**3/12 - 961*t**2/8 - 97*t. Let c(i) = 0. What is i?
-31
Let r = -105301 - -105305. Factor 2/11*k**3 + 0*k**2 + 0 + 0*k - 4/11*k**r + 2/11*k**5.
2*k**3*(k - 1)**2/11
Let s(k) = 3*k**5 - 9*k**4 - 3*k**3 + 29*k**2 - 40*k + 12. Suppose -7*n = 29 - 22. Let q(x) = x**2 + x. Let h(v) = n*s(v) - 4*q(v). Factor h(z).
-3*(z - 2)*(z - 1)**3*(z + 2)
Let w(b) be the second derivative of 0 + 1/5*b**5 - 2*b**3 + 1/6*b**4 + 255*b - 1/30*b**6 - 9/2*b**2. Determine m so that w(m) = 0.
-1, 3
Suppose 86*l + 82 + 191 = 177*l. Solve -48/7*d**2 + 0 - 27/7*d**l + 12/7*d = 0 for d.
-2, 0, 2/9
Let i = 1741/10 - 5063/30. Determine z, given that i + 2/3*z**2 + 4*z = 0.
-4, -2
Let t be -2 - -30 - 0/(-1). Suppose 4*q = -5*c - 6, 4*c = -0*c + 5*q + t. Solve 4 - 2*l**3 + 7*l**2 - 3*l**2 + 10*l - c*l**4 + 2*l**2 = 0.
-1, 2
Let y be (616/220)/(2/20). Suppose -4*r + y = 4*t, 0 = 29*t - 26*t - 2*r + 4. Find u, given that -18/11*u + 60/11 - 6/11*u**t = 0.
-5, 2
Let g(s) = 16*s**3 + 192*s**2 - 136*s - 72. Let z(n) = -17*n**3 - 191*n**2 + 134*n + 74. Let l(o) = 3*g(o) + 4*z(o). Factor l(a).
-4*(a - 1)*(a + 10)*(5*a + 2)
Let s be (24/(-8))/((4/(-262))/2). Let h = -3533/9 + s. Let 2/9*k - 2/9 + h*k**2 = 0. Calculate k.
-1, 1/2
Let f(s) be the second derivative of 5*s**4/12 - 785*s**3/6 - 2870*s**2 + s + 6076. Find m, given that f(m) = 0.
-7, 164
Determine o, given that 223 - 103 + 48*o**2 + 2*o**3 + 108 - 24 + 250*o = 0.
-17, -6, -1
Let l(v) be the second derivative of -v**6/20 + 63*v**5/40 + v**4/2 