ve of 0 + 1/54*y**4 - 20*y + a*y**2 - 1/9*y**3. Factor u(v).
2*(v - 2)*(v - 1)/9
Let w(m) be the first derivative of m**7/84 + m**6/12 + 7*m**5/40 + m**4/8 + 21*m + 90. Let c(a) be the first derivative of w(a). Suppose c(k) = 0. What is k?
-3, -1, 0
Let q(v) = 2*v**3 + 2*v - 1. Let j(s) = -3*s**3 - 80*s**2 + 417*s - 746. Let h(n) = -j(n) - 4*q(n). Suppose h(z) = 0. What is z?
5, 6
Suppose -2 + 4 = l. Let d be ((-64)/12)/4*(-63)/28. Find i, given that 349*i**2 + 1181*i**l + 675*i**d + 107*i + 24 + 265*i = 0.
-2, -2/15
Suppose -3*m + 4*t + 13 = 0, -m + 0*t = 3*t. Factor -3*v**3 + v**m - 14*v**2 + 32 + 17*v - 33*v.
-2*(v - 1)*(v + 4)**2
Let w = 5597 - 5589. Let 17/2 + w*j - 1/2*j**2 = 0. What is j?
-1, 17
Let q(o) be the first derivative of 2/105*o**6 - 1/7*o**4 - 8/21*o**3 - 20 + 2/35*o**5 + 8/7*o**2 + 5*o. Let w(m) be the first derivative of q(m). Factor w(t).
4*(t - 1)**2*(t + 2)**2/7
Let b(d) be the first derivative of 5*d**6/2 + 14*d**5 + 65*d**4/4 - 10*d**3 - 1221. Solve b(l) = 0.
-3, -2, 0, 1/3
Let p be 31/17 + ((-20301)/1139)/(-101). Determine j so that 4*j**3 + 3 + 0*j**4 - 1/2*j**5 - 3*j**p - 7/2*j = 0.
-3, -1, 1, 2
Let a be (68/(-18))/((-144)/1296). Let d(j) be the third derivative of 0 + 1/600*j**6 + 1/5*j**3 + 0*j - a*j**2 + 1/50*j**5 + 11/120*j**4. Factor d(l).
(l + 1)*(l + 2)*(l + 3)/5
Let l(f) be the first derivative of -f**3/5 - 81*f**2/10 - 66*f + 1415. Determine q, given that l(q) = 0.
-22, -5
Suppose -4*o + 162 = 5*m, 0 = 2*o - 2*m - 3*m - 66. Let w = 41 - o. Suppose -5*k**w - 15*k**2 + 20*k**2 + 2*k - 2*k = 0. What is k?
0, 1
Find g, given that -478821*g + 6885902 - 343/4*g**3 + 22197/2*g**2 = 0.
302/7
Let p be (-5 - -3)/(80 - 72 - (-9)/(-1)). Factor -10/9*y**p + 0 - 34/9*y.
-2*y*(5*y + 17)/9
Suppose 0 = 5*j - 3*n - 7 - 8, -5*j + 15 = -4*n. Find i such that -22*i**4 - 13*i**5 - 2*i**4 + 19*i**5 - 9*i**j - 21*i**5 = 0.
-1, -3/5, 0
Let n(z) be the second derivative of -z**7/7 + 7*z**6/10 + 3*z**5/20 - 13*z**4/2 + 14*z**3 - 12*z**2 + 810*z. Solve n(p) = 0 for p.
-2, 1/2, 1, 2
Let y(s) = s**2 + 1. Let g(o) be the second derivative of -o**5/10 - o**4/12 + 7*o**3/3 - 5*o**2/2 - 199*o. Let l(x) = 2*g(x) - 6*y(x). Factor l(z).
-4*(z - 1)**2*(z + 4)
Factor 56*g - 116/3*g**2 + 4/3*g**4 + 0 + 8/3*g**3.
4*g*(g - 3)*(g - 2)*(g + 7)/3
Let c(i) be the first derivative of 2*i**5/25 - 39*i**4/10 + 328*i**3/5 - 364*i**2 - 4704*i/5 + 559. Suppose c(v) = 0. Calculate v.
-1, 12, 14
Factor 0 + 4/5*p**3 + 464/5*p**2 + 13456/5*p.
4*p*(p + 58)**2/5
Let l(c) be the third derivative of 0 + 36*c**2 - 1/24*c**4 + 1/360*c**5 + 0*c + 1/720*c**6 + 0*c**3. Solve l(i) = 0 for i.
-3, 0, 2
Let z(p) be the third derivative of -p**7/735 + 13*p**6/140 - 3877*p**2 + 2. Factor z(x).
-2*x**3*(x - 39)/7
Find c such that -187*c - 293 + 15138*c**3 - 1197*c + 309 + 29580*c**2 = 0.
-2, 2/87
Let j(c) = -c + 15*c**2 + 3*c - 11*c**2 - 2 + 0*c**2. Let q(d) = -21*d**2 - 10*d + 11. Let r(g) = 22*j(g) + 4*q(g). Factor r(l).
4*l*(l + 1)
Let s(p) = 30*p - 346. Let t be s(12). Factor 157*y + 107*y - 38 + 6 - 138*y**2 + t*y**2.
-4*(y - 2)*(31*y - 4)
Let l(a) = -a**2 - a + 16. Let j be l(-4). Solve -27*q**4 - 6*q + 4*q**3 + q**2 + 17*q**j + 11*q**4 = 0 for q.
-3, -2, 0, 1
Factor 4470 - 5*t**2 + 1187 - 2301*t - 1949*t - 1402 + 0*t**2.
-5*(t - 1)*(t + 851)
Let v = 10675 - 10675. Let f(o) be the second derivative of 26*o + 31/3*o**4 + v - 8/3*o**3 - 8*o**2 - 14/5*o**5. Factor f(x).
-4*(x - 2)*(2*x - 1)*(7*x + 2)
Let n(j) be the second derivative of 3*j**5/20 - 371*j**4/4 + 34595*j**3/2 - 102675*j**2/2 - 38*j + 39. Factor n(h).
3*(h - 185)**2*(h - 1)
Let g(l) be the third derivative of l**7/14 - 4*l**6/5 + 37*l**5/20 + 25*l**4/4 - 12*l**3 - 1129*l**2. Solve g(o) = 0.
-1, 2/5, 3, 4
Let n(i) be the second derivative of -i**7/42 - 83*i**6/30 - 41*i**5/10 + 10*i - 193. Factor n(b).
-b**3*(b + 1)*(b + 82)
Solve -513*k**2 - 1595*k - 507*k**2 - 513*k**2 + 1538*k**2 = 0 for k.
0, 319
Let k be (-6)/(-2)*(181 + -176). Let g(r) be the first derivative of 1/3*r**3 + 0*r - 1/16*r**4 + k - 3/8*r**2. Let g(t) = 0. What is t?
0, 1, 3
Let a = 227 + -254. Let p be (1 + 0)*(7 - a/(-9)). Factor -3/7*y**3 + 3/7*y**p + 3/7*y**5 + 0 + 0*y - 3/7*y**2.
3*y**2*(y - 1)*(y + 1)**2/7
Let f(o) be the second derivative of 2*o**6/15 - 8*o**5/5 - 19*o**4/3 - 20*o**3/3 + 173*o - 2. Factor f(m).
4*m*(m - 10)*(m + 1)**2
Suppose -7*x + 14 + 7 = 0. Let -8*m - x*m**3 - 73 + 44*m + 48*m - 12*m**2 - 23 = 0. What is m?
-8, 2
Let l(j) be the third derivative of -j**7/420 - 229*j**6/120 - 2907*j**5/5 - 585225*j**4/8 + 1193859*j**3/4 + j**2 + 672. Suppose l(q) = 0. What is q?
-153, 1
Let i(t) be the first derivative of -t**5/10 + 9*t**4/8 - 13*t**3/6 - 45*t**2/4 + 25*t - 787. Determine q, given that i(q) = 0.
-2, 1, 5
Suppose 21*i = -177 + 219. Let s(x) be the first derivative of -3 - 2*x - 2*x**i - 2/3*x**3. Solve s(g) = 0.
-1
Let b be (-1)/5*(9 - 14). Let q be (10/4 - b)/((-1260)/(-560)). Determine z so that -q*z**2 + 8/3 - 4/3*z + 1/3*z**3 = 0.
-2, 2
Suppose -378 = -204*o + 30. Factor 2/3*x**4 + 24*x + 56/3*x**o + 6*x**3 + 32/3.
2*(x + 1)*(x + 2)**2*(x + 4)/3
Let w(s) be the second derivative of -1/40*s**5 - 3*s + 73/72*s**4 + 18 + 12*s**2 - 38/3*s**3. Suppose w(k) = 0. What is k?
1/3, 12
Suppose -3*x - 4*b - 22 = -5*x, 2*b + 20 = 4*x. Let g be -7*x*6/(-63). What is f in 2 - f**3 + f + 8*f**g - 5*f**2 - 4 - f**4 = 0?
-2, -1, 1
Let g(v) be the second derivative of v**5/4 + 10*v**4/3 - 175*v**3/6 - 735*v**2 - 17*v + 8. Determine w so that g(w) = 0.
-7, 6
Let d = -621 + 624. Let r(p) = p**3 + p**2 + 22*p. Let c(x) = 21*x. Let k(y) = d*r(y) - 4*c(y). Factor k(h).
3*h*(h - 2)*(h + 3)
Solve 111/5 + 108/5*x - 3/5*x**2 = 0.
-1, 37
Let r(v) = -382*v**4 - 1927*v**3 - 2759*v**2 - 1187*v + 1. Let w(m) = m**3 + 5*m**2 + m - 1. Let y(u) = -2*r(u) - 26*w(u). Find t, given that y(t) = 0.
-3, -1, -2/191
Let g(f) = -245*f**2 + 4560*f - 16240. Let z(u) = -260*u**2 + 4560*u - 16241. Let k(l) = 4*g(l) - 5*z(l). Factor k(q).
5*(8*q - 57)**2
Let k be 5/48 + (44/(-48))/(-11). Let x(j) be the second derivative of -27*j + 5/8*j**2 + 0 + k*j**5 + 25/24*j**3 + 35/48*j**4. Factor x(u).
5*(u + 1)**2*(3*u + 1)/4
Let d(i) = i - 3. Let b be d(6). Factor 58*u - 18*u - 165599*u**b + 165634*u**3 + 5*u**4 + 70*u**2.
5*u*(u + 1)*(u + 2)*(u + 4)
Suppose z + 138 = -4*a - 46, 5*z = 5*a - 820. Let j = z + 2186/13. Factor 0*m**3 + 0*m + 2/13*m**4 + 0 - j*m**2.
2*m**2*(m - 1)*(m + 1)/13
Let n be 70330/(-1623)*(-315)/100. Factor 2115/2*l - 675/2 + 9/2*l**3 - n*l**2.
3*(l - 15)**2*(3*l - 1)/2
Factor -1/4*d**2 + 184 - 45*d.
-(d - 4)*(d + 184)/4
Let z(j) be the first derivative of j**3 + 1755*j**2/2 + 1752*j + 1249. Factor z(q).
3*(q + 1)*(q + 584)
Let c(z) be the third derivative of 0*z + 0 + 1/42*z**7 + 32*z**2 - 1/4*z**5 + 0*z**4 + 1/12*z**6 + 0*z**3. Factor c(a).
5*a**2*(a - 1)*(a + 3)
Let g(m) be the second derivative of 0*m**2 - 2*m + 0*m**4 + 1/10*m**5 + 7 - 1/3*m**3. Factor g(b).
2*b*(b - 1)*(b + 1)
Let f(q) be the second derivative of 0 - 7/4*q**3 - 13*q - 1/8*q**4 - 9/2*q**2. Suppose f(i) = 0. Calculate i.
-6, -1
Let c(b) be the second derivative of -b**4/30 + 1769*b**3/45 + 118*b**2/3 + 5*b - 9. Determine x, given that c(x) = 0.
-1/3, 590
Suppose 4*c - 196 = -5*f, 7*c = 2*f + 3*c - 56. Suppose -31*d + 3*d**4 + 64*d - d**3 - 9*d**2 + 4*d**3 + 6 - f*d = 0. What is d?
-2, -1, 1
Let z(k) be the first derivative of k**8/2856 - 2*k**7/255 + 49*k**6/1020 - 3*k**2/2 + 42. Let w(y) be the second derivative of z(y). Factor w(c).
2*c**3*(c - 7)**2/17
Factor -4/5*m**2 + 1504/5 + 300*m.
-4*(m - 376)*(m + 1)/5
Let i(b) be the third derivative of 2*b**2 - 1/9*b**3 + 2*b + 0 - 1/144*b**4 + 1/45*b**5 - 1/315*b**7 - 1/2016*b**8 + 1/360*b**6. Solve i(c) = 0 for c.
-4, -1, 1
Let o(a) be the second derivative of -a**5/130 - 11*a**4/39 - 19*a**3/13 + 79*a - 15. Determine j so that o(j) = 0.
-19, -3, 0
Factor -224/3*a - 75 + 1/3*a**2.
(a - 225)*(a + 1)/3
Let i(l) = -2*l**2 + 292*l - 686. Let j(q) = -2*q - 6. Let h(n) = -2*i(n) + 22*j(n). Let h(b) = 0. What is b?
2, 155
Let t(u) = -u**3 - 4*u**2 - 5*u + 1. Let m(d) = -8*d**3 + 27*d**2 - 411*d + 7. Let h(p) = 5*m(p) - 35*t(p). Factor h(k).
-5*k*(k - 47)*(k - 8)
Let q(n) be the second derivative of n**6/45 - 8*n**5/15 + 7*n**4/3 + 136*