. Let d be g/2 + 1/(70/21). Factor 2/5*i**2 - d + 2/5*i.
2*(i - 1)*(i + 2)/5
Let d(p) be the first derivative of -48*p**5/5 - 186*p**4 - 121*p**3 - 45*p**2/2 + 60. Solve d(u) = 0.
-15, -1/4, 0
Let k be 2*3/(-24)*240/(-140). Let -6/7*x + 9/7 - k*x**2 = 0. What is x?
-3, 1
Let c(s) be the second derivative of 5*s**4/4 + 400*s**3/3 + 265*s**2/2 - 4*s - 7. Factor c(n).
5*(n + 53)*(3*n + 1)
Determine z, given that 13/4*z**3 + 1/2 - 13/4*z - 1/2*z**2 = 0.
-1, 2/13, 1
Let i(u) = 5*u - 63. Suppose -12*b + 177 - 21 = 0. Let r be i(b). Determine s, given that 0 + 4/7*s**r + 4/7*s = 0.
-1, 0
Let g(u) be the second derivative of -2*u**7/21 + 2*u**6/5 + 3*u**5 + 17*u**4/3 + 4*u**3 - 669*u. Determine y so that g(y) = 0.
-1, 0, 6
Let a(w) = w**3 - 21*w**2 + w + 12. Let u be a(21). Let h = 103/3 - u. Suppose 2/3*s**4 + 0*s + 0 - h*s**3 + 2/3*s**2 = 0. What is s?
0, 1
Factor 12/11*w + 2/11*w**2 + 0.
2*w*(w + 6)/11
Let w(q) be the first derivative of -q**3/9 + q/3 - 72. Find i, given that w(i) = 0.
-1, 1
Let g = 18541 + -18537. Find h such that -1/2*h**2 + g + h = 0.
-2, 4
Let c be (-78)/(-4) + (-1 - (-3)/6). Factor 8*u**2 - 20*u**2 + 27 - 4*u**3 + 4*u + 4*u**4 - c.
4*(u - 2)*(u - 1)*(u + 1)**2
Let w(y) be the first derivative of -3*y**5/5 - 9*y**4/4 - 2*y**3 - 65. Let w(g) = 0. What is g?
-2, -1, 0
Let l(p) be the third derivative of -p**8/84 - 4*p**7/35 + p**6/10 + 4*p**5/3 + 2*p**4 - 40*p**2 - 2. Let l(d) = 0. Calculate d.
-6, -1, 0, 2
Let w(p) = 12*p + 36. Let y(z) = -25*z - 72. Let h(t) = -13*w(t) - 6*y(t). Let i be h(-6). Factor -1/2 + i*v + 1/2*v**2.
(v - 1)*(v + 1)/2
Let d(o) be the first derivative of 1/3*o + 1/15*o**5 + 26 - 1/6*o**4 + 1/6*o**2 + 1/18*o**6 - 2/9*o**3. Solve d(j) = 0.
-1, 1
Suppose -33 = -4*z - 3*w, 2*w = 350*z - 352*z + 20. Factor -1/2 + x**z - x + 0*x**2 + 1/2*x**4.
(x - 1)*(x + 1)**3/2
Let s(m) be the second derivative of -m**4/48 - m**3/6 + 5*m**2/8 - 354*m. Factor s(a).
-(a - 1)*(a + 5)/4
Let k(u) = 16*u**2 + 104*u - 45. Let s(q) = -3. Let f(d) = 5*k(d) - 30*s(d). Factor f(z).
5*(4*z - 1)*(4*z + 27)
Let z(m) be the third derivative of 0*m + 1/2*m**3 - 3/8*m**4 - 18*m**2 - 1/40*m**6 + 3/20*m**5 + 0. Solve z(p) = 0 for p.
1
Let j(b) = 6*b**2 + 9*b - 3. Let v(a) = -5*a**2 - 15 - 3*a - 23 - 7*a + 40. Let i(q) = 2*j(q) + 3*v(q). Factor i(y).
-3*y*(y + 4)
Let o(v) be the first derivative of -v**5/20 - 3*v**4/16 + 3*v**3/4 + 23*v**2/8 + 3*v + 186. Factor o(y).
-(y - 3)*(y + 1)**2*(y + 4)/4
Let r = -35 - -42. Let q(v) be the second derivative of 4/15*v**6 - 2/21*v**r + 0*v**3 + 0*v**4 + 0 - 5*v - 1/5*v**5 + 0*v**2. Determine i, given that q(i) = 0.
0, 1
Let q(v) be the first derivative of 3*v**6/10 + 38*v**5/25 + 11*v**4/5 + 8*v**3/15 + 779. Suppose q(x) = 0. Calculate x.
-2, -2/9, 0
Suppose 5*j - 65 = -5*w, 3*j = 3*w + 21 - 0. Solve 4 - j*a - 2*a**3 - 7*a**3 - 36*a**2 + a**3 + 14*a**2 = 0.
-2, -1, 1/4
Suppose -15*z + 103 = 13. Let y(o) be the second derivative of 0 + 1/45*o**z + 0*o**2 - o + 1/18*o**4 + 0*o**3 + 1/15*o**5. Factor y(u).
2*u**2*(u + 1)**2/3
Let b(j) be the first derivative of 5*j**3/3 - 95*j**2/2 + 170*j - 141. Factor b(c).
5*(c - 17)*(c - 2)
Let t(u) be the third derivative of u**5/12 - 5*u**4/6 + 5*u**3/2 - 2*u**2 - 44*u. Find i such that t(i) = 0.
1, 3
Let q(s) be the second derivative of s**6/30 + 7*s**5/15 - 4*s**4/3 + 8*s**2 - 9*s. Let a(u) be the first derivative of q(u). Let a(g) = 0. What is g?
-8, 0, 1
Let j(g) = -g**2 + 237*g - 2484. Let t be j(11). Determine l, given that -2/13*l**t - 32/13 + 16/13*l = 0.
4
Let s(u) be the first derivative of 72/19*u - 10 + 2/95*u**5 + 5/19*u**4 + 74/57*u**3 + 60/19*u**2. Factor s(c).
2*(c + 2)**2*(c + 3)**2/19
Determine c, given that 12*c + 36*c**2 + 2*c - 26*c**2 + 3 + 1 = 0.
-1, -2/5
Let s = 2 + 4. Let i(f) = -f**3 - 1. Let h(c) = 2*c**2 + 2*c**4 + 5*c + 6 - c**3 - 5*c + 11*c**3. Let p(l) = s*i(l) + h(l). Factor p(x).
2*x**2*(x + 1)**2
Let o(k) be the third derivative of k**8/336 - k**7/70 - k**6/8 - 17*k**5/60 - k**4/4 + 586*k**2. Factor o(d).
d*(d - 6)*(d + 1)**3
Let b(x) be the first derivative of 1/6*x**3 - 1/2*x**2 + 1/2*x + 2. What is g in b(g) = 0?
1
Let 304*f - 173*f - 147*f + 4 + 15*f**2 = 0. Calculate f.
2/5, 2/3
Factor 2*c**2 + 14*c - 6 - 2 - 7 + 27.
2*(c + 1)*(c + 6)
Let p(y) = y - 5 + 6*y + 13 + y**2. Let a be p(-6). Factor c**a + c**3 - 20*c + 0*c**2 + 20*c.
c**2*(c + 1)
Let x be (4/35)/((-720)/(-336)). Let h(v) be the second derivative of -9/50*v**5 + 0*v**2 + 2*v - x*v**6 - 1/5*v**4 - 1/15*v**3 + 0. Solve h(p) = 0 for p.
-1, -1/4, 0
Let o(t) be the first derivative of -1/28*t**4 - 2/35*t**5 + 1/42*t**6 + 0*t + 2/21*t**3 + 0*t**2 - 18. Factor o(p).
p**2*(p - 2)*(p - 1)*(p + 1)/7
Let m be (-45 + -1)*35/14. Let u be m/(-6) + (-5)/30. Suppose -7*f**3 + 3*f + u*f**2 - 5*f - 6*f - 4 = 0. What is f?
-2/7, 1, 2
Let y(z) = -3*z**4 + 22*z**3 - 15*z**2 + 6. Let o(h) = 14*h**4 - 112*h**3 + 74*h**2 - 31. Let x(c) = -2*o(c) - 11*y(c). Factor x(r).
(r - 2)*(r - 1)**2*(5*r + 2)
Solve 2*p - 10*p + 22*p**3 - 9*p - 23*p**3 + 3*p + 15*p**2 = 0 for p.
0, 1, 14
Suppose -29*x - 20*x**2 + 491/4*x**3 - 81/4*x**5 - 99/2*x**4 - 4 = 0. Calculate x.
-4, -2/9, 1
Let b(d) be the first derivative of d**4/16 + 11*d**3/6 + 601. Factor b(f).
f**2*(f + 22)/4
Let t be (0 - (-4 + 3))/((-6)/(-154)). Let x = t - 25. Suppose 0*a**2 - 4/3*a**4 + 0 - x*a**5 + 0*a**3 + 0*a = 0. Calculate a.
-2, 0
Let l(i) be the third derivative of -i**8/6720 - i**7/168 - 5*i**6/48 - 11*i**5/60 - 8*i**2. Let q(k) be the third derivative of l(k). Factor q(m).
-3*(m + 5)**2
Let b be (105/18)/(-7) + (-795)/(-630). Suppose -12/7*i - 15/7 + b*i**2 = 0. Calculate i.
-1, 5
Suppose -3*j + 0*j = 0. Let a be 2/((-21)/(-3) + (-182)/28). Determine h, given that -1/3*h**a + 0*h**2 + j*h**3 + 0*h + 0 = 0.
0
Let k(u) be the first derivative of u**4/4 - 11*u**3/3 + 19*u**2/2 - 9*u - 24. Factor k(b).
(b - 9)*(b - 1)**2
Let z = 2/47509 + 3878/6787. Let 16/7 - 20/7*v + z*v**2 = 0. Calculate v.
1, 4
Factor -27/5 - 3/5*n**2 + 6*n.
-3*(n - 9)*(n - 1)/5
Let w be (-24)/(-6) + 46/10. Let l = w + -8. Suppose l*z**2 - 3/5 + 3/5*z**3 - 3/5*z = 0. Calculate z.
-1, 1
Let u = 3022 + -3014. Factor -u - 12*v**2 - 22*v + 9/2*v**3.
(v - 4)*(3*v + 2)**2/2
Let y = -614/5 - -126. Let p = 28/5 - y. Find z such that -3/5*z**2 + 0 + p*z = 0.
0, 4
Let y = -737 - -741. Let b(m) be the first derivative of y - 3/2*m**4 - 7*m**3 + 21/5*m**5 + 0*m + 3*m**2. Let b(z) = 0. What is z?
-1, 0, 2/7, 1
Let s(k) be the third derivative of -k**7/525 - 9*k**6/100 + 44*k**5/75 - k**4 - 19*k**2 + 8*k. Let s(m) = 0. What is m?
-30, 0, 1, 2
Let u be ((-1863)/2070)/(-2 + (-94)/(-50)). Determine p, given that -u*p**2 - 5/2*p**4 - 15/2*p**3 + 0 - 5/2*p = 0.
-1, 0
Let t(q) be the first derivative of q**6/36 - q**5/15 + q**4/24 - 66. Factor t(c).
c**3*(c - 1)**2/6
Suppose -128*s + 8 = -123*s + 4*a, 2*s - 5*a = 23. Factor 8/3*p**3 + 1/3*p**s + 0 + 0*p**2 + 0*p.
p**3*(p + 8)/3
Suppose -5*i = -4*a - 18, 0 = 18*a - 20*a - 4. Factor 12/5*f**3 - 27/5*f**i - 3/5 + 18/5*f.
3*(f - 1)**2*(4*f - 1)/5
Solve -27/2*v**3 + 0 + 15/2*v**4 - 3/2*v**5 - 3*v + 21/2*v**2 = 0 for v.
0, 1, 2
Let u be (-2 + 1)*(3 + -5). Factor -2 + 4*f + 0*f**2 + 1 + f**u + 5.
(f + 2)**2
Find v, given that 28*v**2 + 9*v**4 + 64/5 - 256/5*v + 232/5*v**3 = 0.
-4, -2, 2/5, 4/9
Let j(a) be the third derivative of -a**6/540 + a**5/30 - 7*a**4/54 - 4*a**2 - 14*a. Suppose j(q) = 0. Calculate q.
0, 2, 7
Factor -48/5*a - 32 - 2/5*a**2.
-2*(a + 4)*(a + 20)/5
Suppose -5*o + 39 = 24. What is h in 25 - 53*h**2 - 17*h + 48*h**2 - o*h = 0?
-5, 1
Let s(w) = 5*w**3 - 140*w**2 + 265*w - 124. Let m(o) = -45*o**3 + 1260*o**2 - 2385*o + 1115. Let u(q) = -6*m(q) - 55*s(q). Factor u(y).
-5*(y - 26)*(y - 1)**2
Let i(q) be the third derivative of -q**5/630 + 13*q**4/126 - 25*q**3/63 - 16*q**2 - 2*q. Factor i(s).
-2*(s - 25)*(s - 1)/21
Let x(a) be the third derivative of a**8/504 - a**7/45 + a**6/18 + a**5/5 - 3*a**4/4 - 3*a**3 + 13*a**2. Determine h so that x(h) = 0.
-1, 3
Factor -48/5*d - 1/5*d**3 + 13/5*d**2 + 36/5.
-(d - 6)**2*(d - 1)/5
Let r be (-100)/30*54/4. Let s be (r/(-20))/1 - 2. Factor 1/2 - 1/2*u**2 + 1/4*u**3 - s*u.
(u - 2)*(u - 1)*(u + 1)/4
Let p(y) be the second derivative of 0*y**3 - 1/10*y**5 - 1/6*y**6 + 0*y**4 + 1/6*y**7 + 0