390 - 4*m**3/3 - 8*m**2. Let k(i) be the first derivative of r(i). Factor k(w).
-2*w*(w + 2)/13
Let t(n) be the first derivative of n**4/30 - 2*n**3/15 + n**2/5 + 14*n - 20. Let j(k) be the first derivative of t(k). Factor j(z).
2*(z - 1)**2/5
Let f(s) = s**2 + 9*s + 1. Let g = 1571 + -1573. Let h(l) = 2 - 2 + l. Let q(a) = g*f(a) + 14*h(a). Factor q(k).
-2*(k + 1)**2
Let o be 20/(-450)*-57 - (-2 - -4). Let u(y) be the first derivative of 11/10*y**4 + o*y**3 - 12/25*y**5 - 2 - 4/5*y**2 - 3/5*y**6 + 0*y. Factor u(i).
-2*i*(i + 1)**2*(3*i - 2)**2/5
Suppose 0 = -7*p - 4*x + 12, -2*p - 2*x + 881 - 875 = 0. Let -48/7*k + 24/7*k**2 - 3/7*k**3 + p = 0. What is k?
0, 4
Suppose 0*z - 4*z = 0. Suppose -c + 5*c - 12 = z. Find d, given that -6*d**3 + c*d - d + 0*d + 3*d**5 + d = 0.
-1, 0, 1
Let w(m) = 14*m**2 - 60*m + 54. Let t(v) = -5*v**2 + 1. Let b(o) = -2*t(o) - w(o). Factor b(k).
-4*(k - 14)*(k - 1)
Suppose 2/19*i + 6/19*i**4 + 22/19*i**3 - 4/19 + 22/19*i**2 = 0. What is i?
-2, -1, 1/3
Let a(w) be the second derivative of 0*w**3 - 8*w + 0*w**4 - 1/5*w**5 + 0 + 0*w**2. Determine v, given that a(v) = 0.
0
Let t be 4/(-22)*12/(-6). Suppose -66*w = -250 + 47 - 61. Factor 2/11*o**w + 18/11*o**2 - 14/11*o + t - 10/11*o**3.
2*(o - 2)*(o - 1)**3/11
Let q(d) be the first derivative of -7*d**4 + 344*d**3/3 + 134*d**2 - 104*d + 28. Factor q(a).
-4*(a - 13)*(a + 1)*(7*a - 2)
Let k(z) be the third derivative of z**7/2520 - z**6/180 + 17*z**4/24 - 2*z**2. Let b(s) be the second derivative of k(s). Factor b(i).
i*(i - 4)
Let f(j) be the third derivative of 5/3*j**4 - 25/42*j**7 + 0*j + 0 + 18*j**2 + 0*j**3 + 15/112*j**8 + 3*j**5 - 1/4*j**6. Find a, given that f(a) = 0.
-1, -2/9, 0, 2
Factor -11*r - 20*r**2 - 3/2.
-(4*r + 1)*(10*r + 3)/2
Let k(l) be the third derivative of l**6/280 - l**5/70 + l**4/56 - 8*l**2 + 7*l. Find t such that k(t) = 0.
0, 1
Let n(d) = d**5 - d**3 - 2. Let z(t) = -4*t**5 + 8*t**4 - 10*t**3 - 22*t**2 + 32*t + 38. Let y(b) = -3*n(b) - z(b). Factor y(h).
(h - 4)**2*(h - 2)*(h + 1)**2
Let j be 30/4 - (80/10)/16. Suppose 21 = 3*m - 5*v, 2*m = 2*v - j*v - 11. Factor 0*o**m + 2/9*o**3 - 1/9*o + 0 - 1/9*o**5 + 0*o**4.
-o*(o - 1)**2*(o + 1)**2/9
Let z(c) be the second derivative of 2*c**7/105 + c**6/15 + c**5/15 - 3*c**2 + c. Let b(a) be the first derivative of z(a). Determine o, given that b(o) = 0.
-1, 0
Suppose -11 + 57 = 23*w. Let y(p) be the first derivative of 0*p**4 - 2 + 0*p + 2*p**3 + 3/2*p**w - 6/5*p**5 - 1/2*p**6. Factor y(x).
-3*x*(x - 1)*(x + 1)**3
Let u(y) be the first derivative of -216/7*y - 6/7*y**3 - 1/28*y**4 + 22 - 54/7*y**2. Let u(z) = 0. Calculate z.
-6
Let g be 27/6*2/3. Let a(x) be the second derivative of -1/16*x**4 + 0*x**2 + 1/40*x**6 - 3/40*x**5 + 1/4*x**g - 9*x + 0. Factor a(t).
3*t*(t - 2)*(t - 1)*(t + 1)/4
Factor 33*l - 3*l**2 - 94 + 243 - 85 - 94.
-3*(l - 10)*(l - 1)
Let b(g) be the first derivative of 2*g**3 - 3/4*g**4 + 12 + 0*g**2 + 0*g. Solve b(i) = 0.
0, 2
Let a(n) = 256*n**2 + 1 + 0 - 259*n**2 + 2*n. Let q(w) = 8*w**2 - 5*w - 2. Let y(d) = -11*a(d) - 4*q(d). Suppose y(b) = 0. What is b?
-1, 3
Let o be 12/(-7)*1603/(-3435). Factor 52/5*c**2 - o*c**3 - 28*c - 196/5.
-4*(c - 7)**2*(c + 1)/5
Determine v, given that 0*v**4 - 1100*v + 449 + 162*v**2 + 4*v**4 + 551 + 158*v**2 + 100*v**2 - 68*v**3 = 0.
2, 5
Let n(x) be the third derivative of -1/60*x**6 - 1/6*x**3 - 1/30*x**5 + 0*x - 1/336*x**8 + 1/70*x**7 - 3*x**2 + 1/8*x**4 + 0. Factor n(o).
-(o - 1)**4*(o + 1)
Let u = -2/89 - -95/267. Let z(p) be the second derivative of 6*p + 0*p**3 + 0 + 2*p**2 - u*p**4. Let z(l) = 0. Calculate l.
-1, 1
Let y = 331 + -326. Factor 6*l**4 + 0 - 3/2*l**y + 0*l - 15/2*l**3 + 3*l**2.
-3*l**2*(l - 2)*(l - 1)**2/2
Suppose -20*q + 13*q = -21. Factor -8/5 + 8*c - 46/5*c**2 + 14/5*c**q.
2*(c - 2)*(c - 1)*(7*c - 2)/5
Let r(w) be the first derivative of w**2 - 1/39*w**4 + 0*w - 2/195*w**5 - 1/39*w**3 + 3. Let t(j) be the second derivative of r(j). Solve t(q) = 0 for q.
-1/2
Suppose 9 = -3*m + 6*m. Let -4*l**3 + 2*l**m - 9*l + 3*l**2 - l**3 + 3*l**4 - 18*l**2 = 0. Calculate l.
-1, 0, 3
Let j(g) be the first derivative of -g**8/1344 - g**7/420 + g**6/120 + g**5/30 - 3*g**2/2 + 8. Let o(w) be the second derivative of j(w). Factor o(f).
-f**2*(f - 2)*(f + 2)**2/4
Suppose 4*k + 0*k + z = 339, 4*k = z + 341. Let a = -421/5 + k. Factor 0 - a*q - 2/5*q**2.
-2*q*(q + 2)/5
Let x(p) = 6*p**2 + 40*p + 46. Let j(b) = 2*b**2 + 13*b + 15. Let y(u) = -10*j(u) + 3*x(u). Factor y(r).
-2*(r + 2)*(r + 3)
Let c = 124 - 105. Factor -6 - 30*g**2 + 5*g - c + 50*g.
-5*(g - 1)*(6*g - 5)
Let f(n) = -23*n**2 + 72*n + 253. Let d(y) = -8*y**2 + 24*y + 84. Let p(t) = -17*d(t) + 6*f(t). Find z such that p(z) = 0.
-3, 15
Let u(p) be the first derivative of -p**5/70 - 4*p**4/21 + 8*p - 16. Let o(s) be the first derivative of u(s). Factor o(z).
-2*z**2*(z + 8)/7
Let h(d) be the second derivative of -1/5*d**5 - 2*d**2 + 2/3*d**3 + 1/3*d**4 - 2*d + 0. Factor h(v).
-4*(v - 1)**2*(v + 1)
Let k(w) be the second derivative of -w**4/3 + 23*w**3/30 - 3*w**2/10 + 45*w. Factor k(q).
-(q - 1)*(20*q - 3)/5
Let k(c) be the second derivative of -35*c**4/12 - 25*c**3/6 + 5*c**2 + 64*c. Factor k(n).
-5*(n + 1)*(7*n - 2)
Let y(m) be the second derivative of -1/20*m**6 + 3/2*m**2 + 3/4*m**3 - 9/40*m**5 - 4*m + 0 - 1/8*m**4. Let y(f) = 0. What is f?
-2, -1, 1
Let 0*p**4 - 139*p - 3*p**5 + 9*p**4 + 139*p = 0. Calculate p.
0, 3
Let h(z) be the second derivative of -z**4/12 + z**2/2 + 21*z. Let g be h(1). Factor 1/4*k**2 + g*k - 1/4.
(k - 1)*(k + 1)/4
Suppose 2*k = z - 2*z - 58, 5*z + 87 = -3*k. Let t = 33 + k. Find j, given that -2/3*j**t + 4/3*j + 4/3*j**2 - 8/3*j**3 + 4/3*j**5 - 2/3 = 0.
-1, 1/2, 1
Let u(k) be the second derivative of -k**7/231 - k**6/165 + 21*k**5/110 + 41*k**4/66 + 20*k**3/33 + 397*k. Let u(v) = 0. What is v?
-4, -1, 0, 5
Let s(p) be the third derivative of p**6/80 - 3*p**5/10 + 11*p**4/16 - 2*p**2 - 186*p. Factor s(q).
3*q*(q - 11)*(q - 1)/2
Let d(y) = -y - 20. Let n be d(-16). Let g be ((-21)/n - 3) + 1/(-4). Solve -6/5 + 6/5*c**g + 9/5*c + 3/5*c**5 - 12/5*c**3 + 0*c**4 = 0 for c.
-2, -1, 1
Let v(c) be the third derivative of -c**7/1155 - c**6/110 - 3*c**5/110 + 6*c**2 - 2. Determine l, given that v(l) = 0.
-3, 0
Let m(i) = -i**3 + 9*i**2 - 20*i + 7. Let y(n) = -n**3 + 9*n**2 - 20*n + 6. Let r(l) = -6*m(l) + 5*y(l). Factor r(t).
(t - 6)*(t - 2)*(t - 1)
Let o = 12881/140 + -92. Let r(x) be the second derivative of -o*x**5 + 3*x + 1/28*x**4 + 1/14*x**2 - 1/14*x**3 + 0. Let r(b) = 0. Calculate b.
1
Let j(c) be the first derivative of -1/5*c**3 - 1/20*c**4 - 9 + 0*c - 1/5*c**2. Factor j(r).
-r*(r + 1)*(r + 2)/5
Let z(x) = -3*x**3 - 1. Let p be z(-1). Suppose 2*r - 2*d - 6 = -0*d, 8 = p*r - 4*d. Solve 2*n**3 + 18*n**5 - 17*n**5 - 5*n**2 - 3*n**4 + 5*n**r = 0 for n.
0, 1, 2
Let i(q) = q**2 + 22*q + 40. Let o be i(-28). Let y = o + -203. Let 2/11*h**4 - 4/11*h**2 + 4/11*h**3 - 2/11*h**y + 2/11 - 2/11*h = 0. What is h?
-1, 1
Let f = -165 - -160. Let p be (-168)/(-160)*5 + (f - 0). Factor -k - p*k**3 - k**2 + 0.
-k*(k + 2)**2/4
Let d(a) be the third derivative of a**6/3600 - a**5/600 + a**4/240 + 5*a**3/6 + 9*a**2. Let j(u) be the first derivative of d(u). Find i such that j(i) = 0.
1
Factor -1/7*v - 3/7*v**2 - 1/7*v**4 + 0 - 3/7*v**3.
-v*(v + 1)**3/7
Let z = -83 + 79. Let r be (4 + -16)*z/40. Suppose -3/5*b**5 - 6/5*b**3 + 9/5*b - r*b**2 - 3/5 + 9/5*b**4 = 0. Calculate b.
-1, 1
Let i be ((-8)/12)/(152/(-36) + 4). Let q(r) be the second derivative of 0*r**2 + 0*r**4 + 0*r**3 + 0 - 1/10*r**5 + i*r. Find b such that q(b) = 0.
0
Let l(t) be the second derivative of -t**4/36 + 11*t**3/9 - 7*t**2/2 + t + 162. Factor l(z).
-(z - 21)*(z - 1)/3
Suppose 5*w - 12 = 5*v - 2, 0 = 3*v + 4*w + 27. Let j be (v/(-540)*4)/((-4)/(-24)). Suppose 2/3*a - j + 8/9*a**2 = 0. What is a?
-1, 1/4
Suppose -26 = -4*x - 6. Suppose 4*f - x*f = -2. Factor 13*b**4 - 5*b**2 + 5*b**2 - 2*b**f + 1 - 12*b**4.
(b - 1)**2*(b + 1)**2
Let t(i) = i**2 - 3*i - 7. Let n be t(5). Solve 0*y**n + 4*y + 0*y**2 + 5*y**3 + 6*y - 15*y**2 = 0.
0, 1, 2
Let g = -8109/4 + 2028. Let a(m) be the first derivative of -g*m + 1 + 0*m**4 - m**2 + 1/20*m**5 - 1/2*m**3. Determine p, given that a(p) = 0.
-1, 3
Let a(v) be the second derivative 