be (-275)/(-150) + 2*(-1)/(-12). Let u(p) be the first derivative of -196/15*p**3 + 9/2*p**4 - 5 + 16/5*p + 12/5*p**h. Find o, given that u(o) = 0.
-2/9, 2/5, 2
Find b such that 2/13*b**4 + 16/13*b - 16/13*b**3 - 24/13 + 22/13*b**2 = 0.
-1, 1, 2, 6
Let f(c) be the first derivative of c**5 + 295*c**4/4 - 310*c**3/3 - 300*c**2 - 673. Factor f(j).
5*j*(j - 2)*(j + 1)*(j + 60)
Let y(k) be the first derivative of -16/5*k**5 + 2/3*k**6 + 5*k**4 + 0*k**2 - 8/3*k**3 - 11 + 0*k. Suppose y(t) = 0. What is t?
0, 1, 2
Determine s so that 1/3*s**3 - 1/3*s - 8 + 8*s**2 = 0.
-24, -1, 1
Suppose -16*q - 215 = -59*q. Let c(b) be the third derivative of -1/30*b**q + 2/21*b**3 + 5/84*b**4 + 11*b**2 + 0*b + 0. Factor c(o).
-2*(o - 1)*(7*o + 2)/7
Let x(s) = -525*s**4 - 3365*s**3 - 4335*s**2 - 780*s + 680. Let v(m) = 31*m**4 + 198*m**3 + 255*m**2 + 46*m - 40. Let w(q) = 35*v(q) + 2*x(q). Factor w(n).
5*(n + 1)**2*(n + 4)*(7*n - 2)
Let x(h) be the first derivative of -1/38*h**4 + 34/57*h**3 + 128/19*h - 80/19*h**2 + 3. Factor x(l).
-2*(l - 8)**2*(l - 1)/19
Let f(g) be the first derivative of -9 + 0*g**3 + 0*g - 1/8*g**4 + 0*g**2 + 1/10*g**5 + 1/6*g**6. Solve f(n) = 0 for n.
-1, 0, 1/2
Let l(g) be the second derivative of -g**5/660 + g**3/66 + 39*g**2/2 + 23*g. Let o(w) be the first derivative of l(w). Solve o(c) = 0 for c.
-1, 1
Let u be -5 + 2 + (3430/(-39))/(-2). Let o = u - 122/3. Solve -4/13*z**3 + 0*z**2 + 2/13 - 2/13*z**4 + o*z = 0.
-1, 1
Suppose -27 - 117 = -8*y. Let d be (2 + -5)/(y/(-4)). Factor -16/3*o + 32/3*o**2 + d.
2*(4*o - 1)**2/3
Let a = 12 - 10. Suppose a*c - c - 4 = -4*u, 5*c = -5*u - 10. Suppose -22*v**2 + 24*v - 4 - 14*v**u - 16*v**2 + 16*v**2 = 0. What is v?
1/3
Let 26 - 4*k**2 + 28*k - 74 + 2*k**2 - 2*k**2 = 0. Calculate k.
3, 4
Let x(s) = -19*s**3 + 140*s**2 + 302*s + 148. Let k(u) = -22*u**3 + 140*u**2 + 304*u + 148. Let p(a) = 5*k(a) - 6*x(a). Let p(o) = 0. What is o?
-1, 37
Let q(r) = 13*r**3 - 64*r**2 - 155*r - 5. Let h(c) = -6*c**3 + 32*c**2 + 78*c + 2. Let d(t) = -5*h(t) - 2*q(t). Determine j so that d(j) = 0.
-2, 0, 10
Factor 148/13*w + 0 - 2/13*w**2.
-2*w*(w - 74)/13
Factor -98/11*k**2 - 6/11*k**3 - 128/11 - 416/11*k.
-2*(k + 8)**2*(3*k + 1)/11
Let i = 15 + -7. Let h = -36 + 38. Let h*y**4 + 2*y**3 + i*y - 8*y = 0. Calculate y.
-1, 0
Let c(y) be the first derivative of 3*y**5/25 + 3*y**4/20 - 4*y**3/5 - 6*y**2/5 + 30. Factor c(r).
3*r*(r - 2)*(r + 1)*(r + 2)/5
Let g be (-15 - -12)/((-6)/(-8)). Let k be 6*(-4)/(-108) - g/(-99). Determine b, given that -6/11*b - k - 6/11*b**2 - 2/11*b**3 = 0.
-1
Suppose -24/5 + 3/5*w**3 - 18/5*w + 9/5*w**2 = 0. What is w?
-4, -1, 2
Let j(w) be the second derivative of 3*w**5/40 + w**4/4 - 7*w**3/4 + 3*w**2 - 7*w + 2. Factor j(i).
3*(i - 1)**2*(i + 4)/2
Let j be ((-12)/10*-10)/3. Suppose -3*n = -n + 2, -4*n + 6 = 5*b. Factor -b*i + 2*i + 4*i**2 + 0*i - j*i.
4*i*(i - 1)
Suppose -k - 1 + 10 = -4*i, -4*i = 8. Let m be (8 - 6)*(k - -1). Solve -1 - 9 - 6 + 16*c - m*c**2 = 0 for c.
2
Suppose 2*a - 5*a = -3*g - 6, 2*g - a = -2. Suppose g = -20*v + 16*v + 16. Determine u so that -8/11*u**2 + 0 - 8/11*u**3 - 2/11*u**v + 0*u = 0.
-2, 0
Let l(u) be the first derivative of -9 + 10/3*u**3 + 8*u - 7/9*u**4 - 6*u**2 + 1/15*u**5. Let v(g) be the first derivative of l(g). Factor v(d).
4*(d - 3)**2*(d - 1)/3
What is y in 6*y**3 + 113*y - 1 - 3*y**4 - 113*y + 1 - 3*y**2 = 0?
0, 1
Let g(c) be the second derivative of -c**5/90 + c**4/54 + c**3/27 - c**2/9 + 89*c. Factor g(r).
-2*(r - 1)**2*(r + 1)/9
Suppose -1/6*j**4 + 0 - 1/3*j**3 + 2/3*j**2 + 4/3*j = 0. Calculate j.
-2, 0, 2
Let m = -41716/17 - -2454. What is x in 10/17 + 8/17*x - m*x**2 = 0?
-1, 5
Let n(b) be the third derivative of -b**10/75600 - b**9/10080 - b**8/5040 + 4*b**5/15 + 4*b**2. Let v(c) be the third derivative of n(c). Factor v(z).
-2*z**2*(z + 1)*(z + 2)
Let q(x) = -x**3 - 394*x**2 + 126*x + 239. Let u(t) = -400*t**2 + 126*t + 238. Let p(a) = -6*q(a) + 5*u(a). Let p(v) = 0. Calculate v.
-61, -2/3, 1
Let m(j) be the third derivative of -j**5/300 + 29*j**4/60 - 841*j**3/30 + 22*j**2 - 6*j. Solve m(h) = 0 for h.
29
Solve 64/3*o + 2/3*o**5 - 34/3*o**3 - 56/3 + 34/3*o**2 - 10/3*o**4 = 0.
-2, 1, 7
Let o(z) be the first derivative of 21/4*z**2 + z - 3 + 17/8*z**4 + 6*z**3. Suppose o(v) = 0. What is v?
-1, -2/17
Let j = 56/75 - 2/25. Factor j*w**2 + 0 - 2/3*w.
2*w*(w - 1)/3
Factor 0*h**5 + 2*h**4 + 2*h**4 + 5*h**3 + 8*h**2 - h**2 - 5*h**2 + h**5.
h**2*(h + 1)**2*(h + 2)
Let c = -20 - -16. Let r(o) = -6*o**4 + 5*o**3 - 4*o**2 + 5*o - 5. Let h(m) = -5*m**4 + 4*m**3 - 3*m**2 + 4*m - 4. Let s(v) = c*r(v) + 5*h(v). Factor s(u).
-u**2*(u - 1)*(u + 1)
Let g(p) = 54*p - 3*p**4 - 25*p - 32*p + 15 - 12*p**3 + 18*p**2. Let z(j) = j**3 - j**2 - 1. Let n(b) = -g(b) - 15*z(b). Solve n(t) = 0.
-1, 0, 1
Let o(w) be the third derivative of -w**5/210 + 17*w**4/21 - 1156*w**3/21 + 174*w**2. Solve o(q) = 0 for q.
34
Let x be (9/6)/(162/216). Let k(u) be the first derivative of -5/6*u**x - 3 - 4/3*u - 1/9*u**3. Factor k(q).
-(q + 1)*(q + 4)/3
Let q be ((-108)/240)/((-18)/420*2). Factor 15/4*g + q*g**2 - 3/2.
3*(g + 1)*(7*g - 2)/4
Let x be ((16 - 15)/7)/((-1)/(-8)). Factor x - 8/7*m + 2/7*m**2.
2*(m - 2)**2/7
Let s(r) be the first derivative of -r**6/9 - 26*r**5/15 - 29*r**4/3 - 176*r**3/9 + 32*r**2/3 + 256*r/3 - 27. Suppose s(n) = 0. Calculate n.
-4, -2, 1
Determine d so that 20/13*d + 0 - 14/13*d**2 = 0.
0, 10/7
Factor 2*q**3 - 4*q**2 + 108 - 54 - 50 - 2*q + 0*q**3.
2*(q - 2)*(q - 1)*(q + 1)
Let r = 6129/3677 - 2/11031. Factor 0 + r*m**2 - 5*m.
5*m*(m - 3)/3
Let j be 123/18 - (-1)/6. Let y(p) = -15*p**4 + 30*p**3 - 22*p**2 - 7. Let k(x) = 5*x**4 - 10*x**3 + 7*x**2 + 2. Let c(h) = j*k(h) + 2*y(h). Factor c(z).
5*z**2*(z - 1)**2
Let r = 319 + -315. Let b be 3 - (0 + 68/28). Factor -2/7*d**r + 0*d + 0 - b*d**3 - 2/7*d**2.
-2*d**2*(d + 1)**2/7
Let r(v) = v**3 - 15*v**2 + 15*v - 11. Suppose -43 - 27 = -5*s. Let x be r(s). Let -6*u**2 - u**x - 3*u**3 + 10*u**2 = 0. What is u?
0, 1
Let p = 1 - -6. Let m(x) be the first derivative of x**3 + p*x + 2*x**3 + 5*x + 5 + 12*x**2. Suppose m(n) = 0. Calculate n.
-2, -2/3
Let t(p) be the first derivative of 0*p - 2/27*p**3 - 19 + 1/3*p**2. What is y in t(y) = 0?
0, 3
Let r = 81091/27 + -3003. Let o = r - -58/135. Suppose -1/5*f**3 + 0*f + 3/5*f**5 - 2/5*f**2 + o*f**4 + 0 = 0. What is f?
-1, 0, 2/3
Let z(x) be the third derivative of x**5/600 + 41*x**4/240 - 481*x**2. Factor z(h).
h*(h + 41)/10
Suppose 3*l - 33 = -5*r, 4*r + 2*l - 15 = 13. Suppose -5*d + r = -1. Determine f, given that 3*f**d - 9*f - 1 + 18*f + 7 = 0.
-2, -1
Let a be (-70)/8 + (0 - -3) + 6. Let l = -7 - -9. Let -1/4 + a*n**3 - 1/4*n + 1/4*n**l = 0. Calculate n.
-1, 1
Let u(q) be the first derivative of -7/2*q**2 - 1/60*q**5 - 6 + 0*q - 1/8*q**4 + 0*q**3. Let x(l) be the second derivative of u(l). Factor x(y).
-y*(y + 3)
Let b be 27/18*(-64)/(-120). Factor b*y**2 - 4/5 + 16/5*y - 16/5*y**3.
-4*(y - 1)*(y + 1)*(4*y - 1)/5
Let b be (-6)/(-1)*-46 - 5. Let i = -557/2 - b. Factor 1/2*m**4 + 0 + m - 1/2*m**5 - i*m**2 + 3/2*m**3.
-m*(m - 1)**3*(m + 2)/2
Let k(z) = -30*z**3 - 23*z**2 - 4*z - 11. Let s(j) = 11*j**3 + 8*j**2 + j + 4. Let o(f) = 4*k(f) + 11*s(f). Factor o(m).
m*(m - 5)*(m + 1)
Solve 8 + 1 - 28*q + 85*q + 18*q**2 = 0 for q.
-3, -1/6
Let z(s) be the second derivative of -s**7/21 + s**6/15 + 9*s**5/10 - 3*s**4/2 + 96*s + 3. Solve z(d) = 0 for d.
-3, 0, 1, 3
Let c(s) = -3*s**2 - s + 4. Let a be -23 - (48/(-27) + (-8)/36). Let n(m) = -10*m**2 - 4*m + 11. Let r(j) = a*c(j) + 6*n(j). Suppose r(v) = 0. What is v?
-2, 3
Let x(q) = -q**3 + q**2 - 1. Let i(h) = -7 + 7 + 2*h**4 + 0*h**3 - 10 - 10*h**3 + 10*h**2. Let g(v) = -2*i(v) + 20*x(v). Determine r, given that g(r) = 0.
0
Let l = -2931/4 + 733. Let q(j) be the second derivative of 3/2*j**2 - l*j**3 + 10*j + 0 + 3/40*j**5 - 1/4*j**4. Solve q(c) = 0.
-1, 1, 2
Let t(u) be the first derivative of u**3/2 + 105*u**2/2 + 3675*u/2 - 125. Factor t(h).
3*(h + 35)**2/2
Let m = -210 + 210. Let z(i) be the first derivative of 2*i**3 - 3/4*i**4 - 2 - 6/5*i**5 + 1/2*i**6 + m*i + 0*i**2. Factor z(y).
3*y**2*(y - 2)*(y - 1)*(y + 1)
Let a(z) be the second derivative of z**7/189 + z**6/45 + z**5/45 - z**4/27 - z**3/9 - z**2/9 + 11*z - 1. Suppose a(b) = 