 45*l**2/2 - 10*l + 2. Factor p(d).
-5*(d - 3)*(7*d + 3)
Let s = 7/110 + -7/1320. Let g(n) be the second derivative of 9*n + 1/2*n**2 + 3/8*n**5 + s*n**6 + 0 + 43/48*n**4 + n**3. Solve g(z) = 0.
-2, -1, -2/7
Let h = -13/94 - -373/658. Solve -15/7*y + 6/7*y**4 + h - 3*y**3 + 27/7*y**2 = 0.
1/2, 1
Factor -1024/11*g - 544/11*g**2 - 144/11*g**3 - 19/11*g**4 - 768/11 - 1/11*g**5.
-(g + 3)*(g + 4)**4/11
Let s(u) = -1611*u**3 - 7389*u**2 + 3511*u - 382. Let o(y) = 403*y**3 + 1847*y**2 - 878*y + 96. Let c(l) = 9*o(l) + 2*s(l). Find m such that c(m) = 0.
-5, 2/9
Suppose 4*d + 49 = 77. Factor d*m**5 - m**4 - 16*m**2 + 4*m**4 + 13*m**2 - 3*m**3 - 4*m**5.
3*m**2*(m - 1)*(m + 1)**2
Let l(c) = -32*c + 95*c**2 - 145 - 5*c + 85*c**3 - 2*c - 21*c. Let a(s) = 7*s**3 + 8*s**2 - 5*s - 12. Let u(t) = 25*a(t) - 2*l(t). Factor u(o).
5*(o - 1)*(o + 1)*(o + 2)
Let s(h) be the second derivative of h**7/21 + h**6/5 - h**5/2 - h**4/2 + 4*h**3/3 - 46*h. Factor s(c).
2*c*(c - 1)**2*(c + 1)*(c + 4)
Let m(n) be the third derivative of -n**5/240 - 5*n**4/48 - 25*n**3/24 + 130*n**2. Find s, given that m(s) = 0.
-5
Let s(n) = 32*n**4 + 70*n**3 + 2*n**2 + 2*n. Let b(r) = -34*r**4 - 69*r**3 - 3*r**2 - 3*r. Let o(q) = -2*b(q) - 3*s(q). Find p, given that o(p) = 0.
-18/7, 0
Let u be (4/(-24) + 3/18)/(-1). Let a be ((-36)/(-16))/9 - u. Suppose 7/4*m**2 + 0 + 5/4*m**4 - 1/2*m - 9/4*m**3 - a*m**5 = 0. What is m?
0, 1, 2
Let t(n) be the third derivative of n**8/96 + n**7/84 - n**6/120 + 145*n**2. Determine m so that t(m) = 0.
-1, 0, 2/7
Let q be (-339)/2*54/(-21). Let v = 437 - q. Factor -4/7 - v*n**2 - 2/7*n**3 - 10/7*n.
-2*(n + 1)**2*(n + 2)/7
Let l(g) be the third derivative of -20*g**2 + 1/105*g**5 + 0*g + 0 + 0*g**3 + 1/1260*g**6 + 5/252*g**4. Factor l(d).
2*d*(d + 1)*(d + 5)/21
Let s(u) be the third derivative of -u**8/6720 - u**7/1260 - u**6/720 - u**5/20 + 2*u**2. Let h(p) be the third derivative of s(p). Factor h(i).
-(i + 1)*(3*i + 1)
Let t(q) be the second derivative of q**4/30 + 176*q**3/15 + 7744*q**2/5 + 152*q. Factor t(y).
2*(y + 88)**2/5
Factor -1/4*s**5 - 10*s**2 + 0*s**3 - 12 + 5/4*s**4 + 20*s.
-(s - 2)**4*(s + 3)/4
Let p(y) = 862*y**2 + 301*y + 32. Let v(h) = -h**2 - h + 1. Let b(s) = -p(s) + 5*v(s). Factor b(i).
-3*(17*i + 3)**2
Find w, given that 16/3*w**2 - 4*w - 4/3 = 0.
-1/4, 1
Let x = -92/273 + 5/13. Let u(j) be the second derivative of 1/3*j**2 + 0 - 11/45*j**6 - 1/3*j**4 + x*j**7 + 7/15*j**5 - 5*j - 1/9*j**3. Factor u(a).
2*(a - 1)**4*(3*a + 1)/3
Let p be (5 + -15 - -11) + 328/(-330). Let k(x) be the third derivative of 0*x**4 - p*x**6 + 0*x**3 + 0*x - 1/330*x**5 + x**2 + 0. Factor k(a).
-2*a**2*(4*a + 1)/11
Factor -88*w**3 - 55*w**4 - 484*w**2 + 109*w**4 - 58*w**4.
-4*w**2*(w + 11)**2
Factor -9/5*t**3 + 0 + 34/5*t**2 + 8/5*t.
-t*(t - 4)*(9*t + 2)/5
Let s(o) be the first derivative of 3*o**4/34 - 46*o**3/51 - 8*o**2/17 - 365. Suppose s(p) = 0. Calculate p.
-1/3, 0, 8
Let a(d) be the third derivative of -d**6/480 + d**5/20 - 3*d**4/32 - 11*d**3/12 + 15*d**2. Solve a(o) = 0 for o.
-1, 2, 11
Let i(v) be the third derivative of 0 + 0*v + 1/84*v**8 - 2/15*v**5 + 4/3*v**3 + 1/2*v**4 - 2/15*v**6 + 0*v**7 - 6*v**2. Find c such that i(c) = 0.
-1, 1, 2
Factor -6/7*q**3 + 4/7*q - 9/7*q**2 - 1/7*q**4 + 12/7.
-(q - 1)*(q + 2)**2*(q + 3)/7
Let 98 - 44*l**4 - 184 + 86 + 4*l**5 = 0. Calculate l.
0, 11
Let d(w) = -11*w**2 - 17*w - 3. Let h be d(-1). Let k(x) be the third derivative of 3/8*x**4 + 2*x**h - 1/20*x**5 + 0*x + 0 - x**2. Factor k(f).
-3*(f - 4)*(f + 1)
Let j(o) = 65*o**2 + 2240*o - 2480. Let a(q) = -8*q**2 - 281*q + 310. Let p(b) = 25*a(b) + 3*j(b). Find z such that p(z) = 0.
-62, 1
Let k be 32/(-24)*1*15/(-2). What is d in 23*d**2 - 20*d**5 - 55*d**4 + 15*d**2 + 30*d + 17*d**2 - k*d**3 = 0?
-2, -1, -3/4, 0, 1
Factor -12*n**2 - 28*n + 4/3*n**3 - 44/3.
4*(n - 11)*(n + 1)**2/3
Let z(m) = m**2 + 2*m - 15. Let x be z(7). Let r = 50 - x. Factor 2/5*k - 4/5 + 2/5*k**r.
2*(k - 1)*(k + 2)/5
Let h(y) = 6*y - 22. Let b be h(4). Let r be ((-6)/(-27) - 0)*(3 - b). Factor r*x**2 + 0*x + 0*x**3 + 0 - 2/9*x**4.
-2*x**2*(x - 1)*(x + 1)/9
Let g be -1 - (-24)/(8/2). Factor 11*r**g + 6*r**5 - 33*r**5 + 12*r**5 + 8*r**4.
-4*r**4*(r - 2)
Let a(u) = 2*u**3 + 18*u**2 - 27*u + 10. Let s(f) = -9*f**3 - 72*f**2 + 108*f - 42. Let c(y) = -21*a(y) - 5*s(y). Find d, given that c(d) = 0.
0, 3
Let -4 + 49 + 2*k**2 - 30*k - 18 + 45 = 0. Calculate k.
3, 12
Let y(f) = -10*f**3 - 12*f**2 + 18*f - 8. Let c(p) = 2*p**3. Let s(k) = -6*c(k) - y(k). Find j such that s(j) = 0.
1, 4
Let d = 46 + -46. Suppose -3*q + d + 2 = -o, 5*o + 4*q - 28 = 0. What is j in 2/3*j**2 - 2/3*j**o + 2/3*j + 0 - 2/3*j**3 = 0?
-1, 0, 1
Let 3/2*g**3 - 7*g + 0 - 1/2*g**5 - 7/2*g**4 + 19/2*g**2 = 0. Calculate g.
-7, -2, 0, 1
Let h(w) = -19*w + 156. Let i be h(8). Let c(p) be the first derivative of 20/27*p**3 - p**2 + 2 - 1/6*p**i + 4/9*p. Solve c(z) = 0.
1/3, 1, 2
Let n(y) be the first derivative of -y**5/25 - 7*y**4/5 - 196*y**3/15 - 65. What is a in n(a) = 0?
-14, 0
Let s(l) be the second derivative of l**2 - 5/6*l**3 + 0 - 1/30*l**6 + 1/20*l**5 + 1/4*l**4 + 2*l. Factor s(i).
-(i - 1)**3*(i + 2)
Let d(s) = -s**3 + 9*s**2 - 6*s - 13. Let o be d(8). Let -1659*z**3 + 1739*z**o - 920*z**2 - 370*z - 60 - 105*z = 0. What is z?
-1/4, 12
Let -12*r + 465*r**2 - 5*r - 466*r**2 - 16 = 0. Calculate r.
-16, -1
Solve -21*d**2 + d**5 - 34*d**3 - 72*d - 11*d**5 + 81*d**3 - 19*d**2 - 164*d**4 + 239*d**3 = 0 for d.
-18, -2/5, 0, 1
Let u(z) be the third derivative of z**6/160 - 3*z**4/32 + z**3/4 - 23*z**2. Factor u(k).
3*(k - 1)**2*(k + 2)/4
Let r(a) = -2*a**3 - 2*a**2 + a. Suppose -5*v - g = 15, -v + 0*v - 12 = 2*g. Let w be r(v). Factor 2 - 2*n - 8*n**2 + 2 + w*n**3 + 0.
2*(n - 1)**2*(3*n + 2)
Let y(a) be the first derivative of 115*a**6/6 - 95*a**5 + 130*a**4 - 20*a**3 - 29. Factor y(n).
5*n**2*(n - 2)**2*(23*n - 3)
Let r(n) be the second derivative of n**4/48 - 13*n**3/24 - 7*n**2/4 + 5*n + 2. Factor r(i).
(i - 14)*(i + 1)/4
Let o(n) = n**2 - n - 2. Let d(z) = 6*z**2 - 16*z - 4. Let u(m) = 3*d(m) - 21*o(m). Solve u(r) = 0.
-10, 1
Let w(k) be the second derivative of -3*k - 1/21*k**3 + 0 - 1/70*k**5 - 1/21*k**4 + 0*k**2. Factor w(j).
-2*j*(j + 1)**2/7
Factor 6/7*x**2 - 144/7*x + 138/7.
6*(x - 23)*(x - 1)/7
Let j(c) be the second derivative of -c**5/4 - 5*c**4/4 - 5*c**3/3 - 8*c + 2. What is v in j(v) = 0?
-2, -1, 0
Let d(u) = -u**3 - 4*u**2 + 3*u + 4. Let m be d(-6). Find z, given that 32*z - 18 - 34 - m*z**2 + 54*z**2 - 12 = 0.
4
Let j(k) be the third derivative of k**6/40 + k**5/20 - 2*k**2 + 12*k. Suppose j(l) = 0. What is l?
-1, 0
Let o(v) = -v**2 - 4*v - 4. Let j be o(-2). Suppose -i - 5*i + 24 = j. Find g, given that 24*g**2 - 15*g - 15*g**3 + 3*g + 3*g**i + 3 - 3 = 0.
0, 1, 2
Factor -16/13*f + 0 - 8/13*f**2 + 4/13*f**3 + 2/13*f**4.
2*f*(f - 2)*(f + 2)**2/13
Suppose -4*m - 6 = -7*m. Suppose 4*b - 16 = 0, p + 0*b + 3*b = 14. Factor 2*v**4 + v**5 + 2*v**p - v - 3*v**4 - 2*v**3 - 1 + m*v.
(v - 1)**3*(v + 1)**2
Let n(r) be the first derivative of -r**6/3060 - 7*r**5/1020 - r**4/34 + 20*r**3/3 - 1. Let b(v) be the third derivative of n(v). Factor b(y).
-2*(y + 1)*(y + 6)/17
Suppose 0 = 190*a - 212*a + 44. What is s in -1/2*s**3 + 3/2*s + 0 + s**a = 0?
-1, 0, 3
Find w such that 2/7*w**2 - 20/7 - 18/7*w = 0.
-1, 10
Factor 0 - 28/11*a**2 + 2/11*a**3 - 64/11*a.
2*a*(a - 16)*(a + 2)/11
Let n(u) be the first derivative of u**6/24 + 11*u**5/20 + 41*u**4/16 + 49*u**3/12 - 15*u**2/4 - 18*u + 378. Suppose n(a) = 0. Calculate a.
-4, -3, -2, 1
Let r(y) = -y**5 + y**4 - y**3 + 16*y**2 - 10. Let g(c) = -c**4 + c**3 + 2. Let b(z) = -5*g(z) - r(z). What is v in b(v) = 0?
-4, -2, 0, 2
Let w = 109 - 98. Suppose -44 + w = -11*h. What is n in -21/5*n**h + 0*n + 0 - 6/5*n**2 = 0?
-2/7, 0
Let m(s) be the first derivative of s**8/672 - s**7/112 + s**6/72 + 14*s**3/3 + 9. Let v(f) be the third derivative of m(f). Solve v(d) = 0 for d.
0, 1, 2
Let y(o) be the third derivative of o**8/1176 - 26*o**7/245 + 1441*o**6/420 + 104*o**5/7 + 400*o**4/21 + 4*o**2 - 23. Factor y(i).
2*i*(i - 40)**2*(i + 1)**2/7
Let k(z) = -8*z - 1 + 28*z**2 - 27*z**2 + 7*z + z**3. Let a(s) = 3*s**3 - 25*s**2 + 22*s - 4. Let q(c) = 3*a(c) + 3*k(c). Let q(u) = 0. Calculate u.
1/2, 5
Let w(i