ve of -k + 11 - 1/12*k**t + 5/8*k**2. Let p(u) = 0. What is u?
1, 4
Let z(d) be the first derivative of 0*d**3 - 4/5*d**5 + 0*d**2 + 0*d - 11 + 1/2*d**4 + 1/3*d**6. Determine u, given that z(u) = 0.
0, 1
Let m(q) be the first derivative of 5*q**6/12 - 5*q**5/2 + 45*q**4/8 - 35*q**3/6 + 5*q**2/2 - 293. Factor m(l).
5*l*(l - 2)*(l - 1)**3/2
Let l be (56/(-10) - 98/70)/(-9). Let w(p) be the first derivative of 0*p**3 + 2 + 6/5*p**5 + 0*p + 1/3*p**4 + l*p**6 + 0*p**2. Factor w(q).
2*q**3*(q + 1)*(7*q + 2)/3
Factor -20/7*o - 2/7*o**3 + 22/7*o**2 + 0.
-2*o*(o - 10)*(o - 1)/7
Let c(p) = -3*p**3 + 3*p**2 - 2*p**3 - 5 - 3*p**3. Let b(d) = 3*d**2 - 12*d - 9*d**3 + 5*d - 6 + 7*d. Let i(n) = 5*b(n) - 6*c(n). Factor i(x).
3*x**2*(x - 1)
Let t = -12021/4 - -2857. Let i = t - -149. Factor 1/4*k**3 - i*k + 0*k**2 - 1/2.
(k - 2)*(k + 1)**2/4
Let i = 2788 + -2782. Let r(o) be the third derivative of 1/24*o**4 + 1/1008*o**8 + 0 + 0*o + 1/9*o**3 - 1/90*o**i - 1/90*o**5 - 6*o**2 + 0*o**7. Factor r(n).
(n - 2)*(n - 1)*(n + 1)**3/3
Let h be 11 - ((8 - 1) + (-2 - 1)). Let p(j) be the first derivative of 0*j + 3/5*j**5 + 3/2*j**6 - h - 3/2*j**4 + 0*j**3 + 0*j**2. Factor p(k).
3*k**3*(k + 1)*(3*k - 2)
Let w(c) be the first derivative of -20*c + 10*c**2 + 18 + 65/2*c**4 + 7*c**5 + 45*c**3. Let w(p) = 0. Calculate p.
-2, -1, 2/7
Let r = 42802 - 42802. Factor 0 + 2/9*a**2 + r*a.
2*a**2/9
Let h = -1/11141 - -44587/256243. Factor h*c - 4/23*c**3 - 2/23*c**4 + 0*c**2 + 2/23.
-2*(c - 1)*(c + 1)**3/23
Suppose 108*j - 98*j - 20 = 0. Let q be 8/(-28)*-1*2. Factor 6/7*i - q - 2/7*i**j.
-2*(i - 2)*(i - 1)/7
Let y(l) be the third derivative of l**8/168 + 2*l**7/35 + l**6/6 - 11*l**4/12 - 2*l**3 + 255*l**2. Determine q, given that y(q) = 0.
-3, -2, -1, 1
Let v(t) be the second derivative of -1/14*t**7 + 8/15*t**6 - 25*t + 0 + 2*t**3 + 4/3*t**2 + 1/6*t**4 - 73/60*t**5. Solve v(l) = 0.
-1/3, 2
Let c(n) be the first derivative of 3*n**4/4 - 69*n**3 + 159. What is m in c(m) = 0?
0, 69
Suppose 63/5*p**2 + 3/5*p**4 - 66/5 - 69/5*p + 69/5*p**3 = 0. What is p?
-22, -1, 1
Let j(q) be the second derivative of 3*q**5/20 + 6*q**4 + 2*q - 62. Factor j(k).
3*k**2*(k + 24)
Let 94/11*o**2 - 18/11*o**4 + 12/11 - 70/11*o + 30/11*o**3 = 0. What is o?
-2, 1/3, 3
Let f(a) be the first derivative of a**3/3 - 11*a**2/2 + 12*a - 10. Let y be f(10). Suppose -2/7*k**3 + 2/7*k**4 + 0*k + 0 + 0*k**y = 0. What is k?
0, 1
Let o(b) = 3*b**2 - 1. Let v(h) be the second derivative of -7*h**4/12 - h**3/6 + 3*h**2/2 - 24*h. Let q(p) = -5*o(p) - 2*v(p). Factor q(a).
-(a - 1)**2
Suppose -799 = -297*m - 205. What is y in 0*y - 3/5*y**m + 3/5*y**5 + 9/5*y**3 - 9/5*y**4 + 0 = 0?
0, 1
Let p = -740/7 - -106. Let w(i) be the first derivative of 0*i + 0*i**2 - p*i**4 + 8/21*i**3 + 2 + 2/35*i**5. Suppose w(z) = 0. What is z?
0, 2
Let s = -259/52 - -149/26. Factor -1/4*m**2 + 1/4*m**5 + 0 + s*m**3 - 3/4*m**4 + 0*m.
m**2*(m - 1)**3/4
Let w(t) be the third derivative of t**8/1680 + 3*t**7/175 + 17*t**6/600 - 30*t**2 + 4. Factor w(d).
d**3*(d + 1)*(d + 17)/5
Let r(t) be the first derivative of t**6/48 - t**4/2 + 19*t**3/12 - 33*t**2/16 + 5*t/4 - 407. Factor r(k).
(k - 2)*(k - 1)**3*(k + 5)/8
Suppose 6*y + 2*y - 64 = 0. Find j, given that -6*j - 4 - 4*j - 14*j**2 + y = 0.
-1, 2/7
Solve -10/3*i + 28/3 - 2/3*i**2 = 0 for i.
-7, 2
Let x(d) be the first derivative of 0*d**3 - 2 + 0*d**4 - 1/10*d**5 + 0*d**2 - 5*d. Let y(v) be the first derivative of x(v). Let y(p) = 0. What is p?
0
Factor 0*i - 45*i**2 + 3/4*i**4 - 177/4*i**3 + 0.
3*i**2*(i - 60)*(i + 1)/4
Find g, given that -3*g**3 + 3*g + 6*g**2 - 9/2 - 3/2*g**4 = 0.
-3, -1, 1
Let t(b) = -2*b**2 + 23*b - 11. Let y be t(11). Suppose -m + 3*k = 10 + 5, y = 3*m + 2*k - 10. Factor 0*j**2 + 1/6*j**3 + m - 1/6*j.
j*(j - 1)*(j + 1)/6
Let v(y) be the second derivative of -1/26*y**4 - 2/39*y**3 - 1/130*y**5 - 8*y + 0 + 0*y**2. Find s, given that v(s) = 0.
-2, -1, 0
Factor -33/4*u**3 + 129/4*u**2 + 3/4*u**4 - 207/4*u + 27.
3*(u - 4)*(u - 3)**2*(u - 1)/4
Let h(y) be the first derivative of 2*y**5/15 + 2*y**4/3 + 2*y**3/3 - 79. Factor h(z).
2*z**2*(z + 1)*(z + 3)/3
Let b(u) be the first derivative of 3/8*u**2 + 5/12*u**3 + 14 + 1/16*u**4 - 5*u. Let w(d) be the first derivative of b(d). What is t in w(t) = 0?
-3, -1/3
Let i = 42 + -35. Let p(b) = b**5 + 3*b**4 + b + 3. Let n(a) = 3*a**5 + 10*a**4 + a**3 + a**2 + 3*a + 10. Let u(y) = i*p(y) - 2*n(y). Factor u(h).
(h - 1)**2*(h + 1)**3
Let t(m) be the second derivative of -5*m**4/7 + 23*m**3/42 - m**2/7 - 234*m. Solve t(z) = 0 for z.
2/15, 1/4
Suppose 12*n + 4 = 13*n. Let c be (3 + 2)*1/n. Factor -t**2 - 1/2 + 1/4*t**3 + c*t.
(t - 2)*(t - 1)**2/4
Let t(y) = 2*y**4 + 6*y**3 - 10*y**2 - 6*y + 8. Let n(r) = -r**4 + r**3 + r**2 - r. Let o(x) = -6*n(x) - t(x). Let o(u) = 0. Calculate u.
-1, 1, 2
Let x(z) be the second derivative of -z**7/231 + 2*z**6/33 - 6*z**5/55 - 17*z**4/33 + 13*z**3/33 + 24*z**2/11 + 98*z. Suppose x(t) = 0. Calculate t.
-1, 1, 3, 8
Let c(u) = 5*u + 12. Let n(v) = 11*v + 25. Let m(t) = -7*c(t) + 3*n(t). Let i be m(-6). Factor 0 + 1/3*p + 1/3*p**i - 2/3*p**2.
p*(p - 1)**2/3
Let r be ((-4)/18)/((-320)/96). Let d(k) be the second derivative of 1/5*k**2 + r*k**3 - 1/50*k**5 - 1/30*k**4 + k + 0. Factor d(i).
-2*(i - 1)*(i + 1)**2/5
Find m, given that -78*m**4 + 3*m**2 + 161*m**4 - 86*m**4 + 9*m - 8*m**3 - m**3 = 0.
-3, -1, 0, 1
Let m be (-16 - -35) + -22 - (10/(-2) + 2). Factor m*p**4 + 1/4*p**5 + 0*p**2 - 1/4*p**3 + 0*p + 0.
p**3*(p - 1)*(p + 1)/4
Suppose -f + 4477 - 647 = 0. Factor -f*w**3 - 4*w**2 + 3827*w**3 + 5*w**2 + 2*w**4.
w**2*(w - 1)*(2*w - 1)
Let j(n) be the second derivative of 4*n**2 + 0 + 2*n**4 - 2/5*n**5 + 5*n**3 - 12*n. Factor j(f).
-2*(f - 4)*(2*f + 1)**2
Find v such that 1/3*v**3 - 1/3*v + 3*v**2 - 3 = 0.
-9, -1, 1
Factor 33*y - 23*y**2 - 85*y**3 - 15 + 2*y**2 + 88*y**3.
3*(y - 5)*(y - 1)**2
Let c be 15 + 583/484*-12. Determine j so that 0 - 2/11*j**3 - 4/11*j**2 + c*j = 0.
-3, 0, 1
Let z(l) be the second derivative of -2*l**6/135 + 22*l**5/45 + 8*l**4/9 - 44*l**3/27 - 46*l**2/9 + 2*l + 21. Solve z(q) = 0.
-1, 1, 23
Let x(z) be the first derivative of -z**4/40 + z**3/30 + z**2 + 63. Suppose x(l) = 0. What is l?
-4, 0, 5
Let i = 3 - 3. Let s be (3 - (-52)/(-20))/(-41 - -42). Find l such that s*l**2 + 2/5*l + i = 0.
-1, 0
Factor -1992*j**2 + 4*j**3 + 79451*j - 18297184 + 32799*j + 96398*j + 128019*j - 5995*j.
4*(j - 166)**3
Suppose -3*i + 0*i + 2*q = -61, q + 2 = 0. Factor 152*w - 4*w**3 - i*w**4 - 148*w + 3*w**4 + 16*w**2.
-4*w*(w - 1)*(w + 1)*(4*w + 1)
Find c such that -180 + 176*c - 193*c + 25*c**2 - 30*c**3 + 5*c**4 + 137*c = 0.
-2, 2, 3
Let o be (-4 - 22/(-5))*5. Let m(n) be the first derivative of -o - 6*n - n**3 - 9/2*n**2. Factor m(a).
-3*(a + 1)*(a + 2)
Let p(u) = 10*u**2 - 12*u + 11. Let r(l) = 2*l**2 - 2*l + 2. Let b(i) = 2*p(i) - 11*r(i). Solve b(g) = 0.
-1, 0
Let -2/9*k**2 - 188/9*k - 4418/9 = 0. What is k?
-47
Let p(z) be the first derivative of -z**3/7 + 9*z**2/7 + 48*z/7 + 4. Factor p(q).
-3*(q - 8)*(q + 2)/7
Let x(c) = -301*c + 3314. Let t be x(11). Let 4/5*r**4 - 4/5*r**2 + 0 + 4/5*r - 3/5*r**t - 1/5*r**5 = 0. Calculate r.
-1, 0, 1, 2
Let s(u) be the third derivative of -u**5/140 + u**4/28 - u**3/14 + 5*u**2 + 2*u. Find y, given that s(y) = 0.
1
Suppose 21 = 5*p + c, -2*p + 4*c + 4 + 22 = 0. Suppose -2*l - 17 = p*j, -j = j + 10. Suppose -1/2*t + 3/2*t**2 + 0 - 3/2*t**l + 1/2*t**3 = 0. Calculate t.
-1, 0, 1/3, 1
Factor -1/7*o**2 + 3/7 - 2/7*o.
-(o - 1)*(o + 3)/7
Determine u so that -6 + 3/2*u**3 + 0*u**2 - 6*u + 3/8*u**4 = 0.
-2, 2
Let b(j) be the third derivative of -73*j**6/24 - 71*j**5/12 + 5*j**4/12 + j**2 - 295. Let b(i) = 0. What is i?
-1, 0, 2/73
Let c(l) = 1. Let t(y) = -2*y**2 + 6*y + 1. Let g(d) = -10*c(d) + 2*t(d). Solve g(q) = 0.
1, 2
Suppose 5*n = 2*b, -8*n + 3*n + 4*b = 10. Suppose -g + 9 = 3*q, -g + 1 = -0*g - q. Factor 3*x**g + 9*x**2 + 12*x**n - 19*x**2.
x**2*(3*x + 2)
Factor 111450*t**3 + 0*t**5 - 8*t**2 - 4*t**5 + 13*t**4 - 111439*t**3 - 12*t - 5*t**2 + 5*t**5.
t*(t - 1)*(t + 1)**2*(t + 12)
Let a(f) be the second derivative of -f**5/5 - 58*f**4/3 - 226*f**3/3 - 112*f**2 - 14*f + 11. Factor a(o).
-4*(o + 1)**2*(o + 56)
Find c such that 16/5*c**2 + 0*c**3 - 4/5*c**4 + 0 + 0*c = 0.
-