t is p?
-1, 0
Let o(g) be the first derivative of -g**4/3 + 68*g**3/9 + 160*g**2/3 + 112*g - 618. Let o(x) = 0. Calculate x.
-2, 21
Let f = 222220 - 444437/2. Let 0 + f*d**3 + 1/2*d**5 + 2*d**2 - 2*d**4 - 2*d = 0. Calculate d.
-1, 0, 1, 2
Determine q, given that -10*q - 2/5*q**4 - 18*q**2 + 26/5*q**3 + 100 = 0.
-2, 5
Factor -30*y - 2/3*y**2 - 172/3.
-2*(y + 2)*(y + 43)/3
Suppose 0*w**4 - 228/5*w - 96/5*w**3 + 72/5 + 4/5*w**5 + 248/5*w**2 = 0. What is w?
-6, 1, 3
Factor 0*b + 0 + 1418/7*b**2 - 2/7*b**3.
-2*b**2*(b - 709)/7
Suppose 0 = 2*i + 3*i - 20. Suppose 12 = -2*b + i*s, 0 = -4*b - s - 6 + 27. Factor 0*o - 5*o**3 - 9*o**2 - 2 - 3*o - b*o - o**4.
-(o + 1)**3*(o + 2)
Let d(v) = -3*v**2 + 1072*v - 780. Let z(u) = -u**2 - 2*u + 24. Let o(i) = -2*d(i) - 6*z(i). Factor o(l).
4*(l - 177)*(3*l - 2)
Let d be -1 + (84/98)/((-2)/14). Let p be -4*(-1 - (d + (-785)/(-130))). Find q, given that 2/13*q**3 + p*q + 8/13*q**2 - 12/13 = 0.
-3, -2, 1
Let w = 1362364/1106963 + 4/85151. Solve 2/13*s**5 + w*s + 2/13*s**2 - 10/13*s**3 - 2/13*s**4 + 8/13 = 0 for s.
-1, 2
Let l be 7141/(-111) + 36 + 35. Factor l + 1/3*a**2 + 3*a.
(a + 4)*(a + 5)/3
Let u(q) = 3*q**4 + 27*q**3 - 15*q**2 - 45*q + 48. Let h(k) = 3*k**4 + 28*k**3 - 18*k**2 - 44*k + 47. Let n(i) = 9*h(i) - 8*u(i). Factor n(x).
3*(x - 1)**2*(x + 1)*(x + 13)
Let f(w) be the third derivative of 37*w**2 - 5/8*w**6 - 5/336*w**8 + 0*w + 1/6*w**7 + 0*w**3 + 0*w**4 + 3/4*w**5 + 0. Factor f(q).
-5*q**2*(q - 3)**2*(q - 1)
Let l(j) = 28*j**3 - 310*j**2 + 297*j + 3. Let k(d) = 132*d**3 - 1548*d**2 + 1486*d + 14. Let a(o) = 3*k(o) - 14*l(o). Suppose a(t) = 0. What is t?
0, 1, 75
Suppose 41*h - 2779 = -852. Suppose 2*q + 3*q - 40 = 0. Factor 28*z + 24*z**4 + 4 + 40*z**3 - 4*z**4 - q*z + 4*z**5 + h*z**2 - 7*z**2.
4*(z + 1)**5
Find j, given that 1/2*j**5 + 55*j**2 - 2*j**4 - 125 - 16*j**3 + 175/2*j = 0.
-5, -2, 1, 5
Let o(n) = -n**2 - 5*n + 12. Let v be o(4). Let b = v + 27. Factor w**b + 4*w**4 + w**3 - 8*w**4 - 6*w**3.
-4*w**3*(w + 1)
Let h(b) be the third derivative of -15*b**8/1792 - b**7/72 - b**6/144 - 55*b**4/24 + 14*b**2 + 3*b. Let p(d) be the second derivative of h(d). Solve p(r) = 0.
-2/5, -2/9, 0
Let l be (-8)/112 + 55848/97636. Let h = l + -2/3487. Determine x, given that 8*x**3 - 7/2*x - h - 4*x**2 = 0.
-1/4, 1
Suppose 6 = 9*i - 10*i + 4*d, 3*d = -i + 8. Let f be -2 - (-168)/30 - (12 + -10). Factor i*t - f - 2/5*t**2.
-2*(t - 4)*(t - 1)/5
Suppose 87/2*s - 42*s**3 - 15*s**4 - 3/2*s**5 + 30 - 15*s**2 = 0. What is s?
-5, -4, -1, 1
Let q(p) be the third derivative of 1/2*p**4 + 1/30*p**5 - 1/60*p**6 + 0*p**3 - 186*p**2 + 0 + 0*p. Factor q(n).
-2*n*(n - 3)*(n + 2)
Factor s**4 - 147*s - 2*s**4 + 460*s**2 - 944*s + 495 + 221*s + 6*s**4 - 90*s**3.
5*(s - 11)*(s - 3)**2*(s - 1)
Let k(l) = -6*l**4 + 2*l**3 + 2*l**2 + 2*l - 2. Let n(w) be the first derivative of w**4/4 - w**3/3 - w**2/2 + w - 31. Let b(r) = -k(r) - 2*n(r). Factor b(d).
2*d**3*(3*d - 2)
Let o(y) be the first derivative of y**7/30 + 13*y**6/45 + 13*y**5/30 - y**4 - 8*y**3/3 - y**2/2 - 50. Let w(f) be the third derivative of o(f). Factor w(l).
4*(l + 1)*(l + 3)*(7*l - 2)
Let g be 7*(((-8680)/60)/31 - (-1028)/210). Factor 0 + z - 39/5*z**2 - g*z**3.
-z*(z + 5)*(8*z - 1)/5
Let h = 153323774 + -521914120731/3404. Let f = h + -2/851. Factor -5/2 - 1/4*o**2 + f*o.
-(o - 5)*(o - 2)/4
Let x(k) be the third derivative of -k**5/70 - 115*k**4/56 - 57*k**3/14 + 883*k**2. Find f, given that x(f) = 0.
-57, -1/2
Let q(n) = n**3 - 38*n**2 + 244*n - 396. Let p(l) = 17904 + 178*l**2 - 16717 - 66*l**2 - 3*l**3 - 734*l. Let m(t) = -4*p(t) - 11*q(t). Factor m(v).
(v - 14)**2*(v - 2)
Let i be 40/(-35) - (-3600)/2268. Factor 44/9*p - i*p**2 - 40/9.
-4*(p - 10)*(p - 1)/9
Let w be (-966)/(-805) - (33/27 + -4*(-5)/(-90)). Let 1296/5 + w*u**2 - 72/5*u = 0. Calculate u.
36
Suppose 37 = 5*b - 58. Suppose -2*u + b - 15 = 0. Determine n, given that 2*n + 6 + 2*n**4 - 3 - 2*n**3 - 3 - 2*n**u = 0.
-1, 0, 1
Let j(q) = q**3 + 4*q**2 - 41*q + 18. Let h(w) = w**2 + 5. Let p(o) = 6*h(o) + 2*j(o). Factor p(y).
2*(y - 3)*(y - 1)*(y + 11)
Let r(v) = -2906*v - 81. Let i be r(-27). Solve -i + 78381 + 5*g**2 - g**2 + 128*g = 0.
-32, 0
Let l = -234 - -236. Let g(b) be the first derivative of -4 + 1/7*b**3 + 1/28*b**4 - 4/7*b + 0*b**l. Determine c so that g(c) = 0.
-2, 1
Let c(m) be the first derivative of 0*m + 1/18*m**3 + 72 + 3/4*m**2. Suppose c(x) = 0. Calculate x.
-9, 0
Let i(m) be the second derivative of -3*m**5/100 - 12*m**4/5 - 261*m**3/10 - 567*m**2/5 + 13393*m. Let i(s) = 0. Calculate s.
-42, -3
Let l(v) be the third derivative of -v**5/300 - 17*v**4/12 - 1445*v**3/6 + 2*v**2 + 581*v. Let l(m) = 0. Calculate m.
-85
Let f(l) be the second derivative of l**4/16 + 685*l**3/8 + 513*l**2/2 + 1205*l. Solve f(z) = 0 for z.
-684, -1
Let f = 35 - 31. Let h(q) be the first derivative of -1/2*q**f - 1/3*q**6 + 0*q**3 - 4/5*q**5 + 6 + 0*q**2 + 0*q. Solve h(n) = 0 for n.
-1, 0
Suppose -458719 - 95675 - 3024*n - 1160*n - 539722 + 10*n**2 - 14*n**2 = 0. What is n?
-523
Suppose -2/13*d**2 + 880/13 - 878/13*d = 0. Calculate d.
-440, 1
Let l be (55 + (1 - 2))/(23 + 186/(-12)). Factor 0 - 4/5*r**4 - l*r**2 + 0*r - 24/5*r**3.
-4*r**2*(r + 3)**2/5
Let c(p) = -p**3 - 25*p**2 - 46*p + 28. Let u be c(-23). Let -12*x**3 - u - 4013*x**5 - 20 + 4016*x**5 - 9*x**4 + 48*x**2 = 0. What is x?
-2, -1, 2
Let t be (2/(-5))/(4/20) + 4. Factor -14*g**3 - t*g**5 + 17*g**3 - g**5 + 4*g**5 + 4*g**4.
g**3*(g + 1)*(g + 3)
Let n(b) be the second derivative of -b**5/50 - 67*b**4/10 + 272*b**3/5 - 164*b**2 + 2*b + 80. Factor n(h).
-2*(h - 2)**2*(h + 205)/5
Let v(c) = 27*c**2 + 18*c - 17. Suppose 3*y + 4*i = y - 12, 5*y - 2*i - 18 = 0. Let f(g) = -8*g**2 - 6*g + 6. Let s(b) = y*v(b) + 7*f(b). What is p in s(p) = 0?
-4, 1
Let w = 1154022/11 - 104910. Factor 2*y**2 - 2/11*y**4 + 0 - w*y - 8/11*y**3.
-2*y*(y - 1)**2*(y + 6)/11
Suppose 0 - 110/3*n**3 - 38*n - 226/3*n**2 + 2/3*n**4 = 0. Calculate n.
-1, 0, 57
Let p(h) be the first derivative of 18*h - 2/15*h**3 + 17 - 21/5*h**2 + 1/10*h**4. Factor p(l).
2*(l - 3)**2*(l + 5)/5
Let q(b) be the second derivative of -b**4/4 - 6*b**3 - 81*b**2/2 + 3*b + 613. Factor q(h).
-3*(h + 3)*(h + 9)
Let l(k) be the second derivative of k**6/3 + 11*k**5/5 + 11*k**4/2 + 20*k**3/3 + 4*k**2 - 341*k. Find i such that l(i) = 0.
-2, -1, -2/5
Let p = -2/2469 + 2479/12345. Suppose -o + 4*o = 0. Find r, given that p*r**2 + o - 2/5*r**3 + 0*r + 1/5*r**4 = 0.
0, 1
Let n(j) = -17 + 22 + 79*j - 2*j**3 - 22*j**3 + 54 + 7*j**2. Let d(t) = -11*t**3 + 4*t**2 + 39*t + 30. Let h(a) = 13*d(a) - 6*n(a). Factor h(k).
(k + 3)**2*(k + 4)
Let r be (9744/131544)/((-1)/(-3174)). What is p in -2024/9*p + 91/9*p**2 - r - 1/9*p**3 = 0?
-1, 46
Let v = -174366 - -174368. Solve -40/3 - 4/3*d**v - 44/3*d = 0.
-10, -1
Let g(d) be the first derivative of 0*d**3 + 0*d + 0*d**5 + 0*d**4 - 10 + 1/315*d**7 + 3*d**2 + 0*d**6. Let m(o) be the second derivative of g(o). Factor m(u).
2*u**4/3
Let 5*p - 17*p**2 - 12*p + 13409 - 13396 - 4*p + 15*p**3 = 0. What is p?
-13/15, 1
Let b be (-6118)/399*(-54)/69. What is n in 1/3*n - n**5 - 18*n**3 - b*n**2 + 2 - 26/3*n**4 = 0?
-6, -1, 1/3
Let y = -36 - -56. Let f = 24 - y. Factor -f*h**3 + 3*h**4 - 7*h**4 - 3*h + 8*h**2 + 3*h.
-4*h**2*(h - 1)*(h + 2)
Suppose -7*s + 2*s + 4*b = -40, -5*s + 5*b = -45. Suppose -2*g = 3*f - 5, 0*f + 5 = -3*f - s*g. Factor -5*t**3 - f*t**2 + 6*t**3 + t**2 + 20*t**4 - 17*t**3.
4*t**2*(t - 1)*(5*t + 1)
Suppose 80 = -150*d + 134*d. Let p(v) = 8*v**2 + 20*v + 50. Let c(j) = 7*j**2 + 21*j + 49. Let o(t) = d*p(t) + 6*c(t). Find f such that o(f) = 0.
-11, -2
Let r(y) be the first derivative of -y**6/18 + 7*y**5/3 - 100*y**4/3 + 500*y**3/3 - 8754. Factor r(z).
-z**2*(z - 15)*(z - 10)**2/3
Let m(x) be the third derivative of -x**7/1120 - x**6/480 + x**5/80 - 3*x**3 + 8*x**2 - 2*x. Let i(r) be the first derivative of m(r). Factor i(n).
-3*n*(n - 1)*(n + 2)/4
Determine m, given that 11*m**2 + 458*m - 2*m**2 + 57*m**2 - 10 + 26*m**2 = 0.
-5, 1/46
Let y be (5/1 - -2)*(-7)/(-7). Suppose 3*q + 1 - y = 3*h, h = -q + 6. Determine r, given that 3/2 - 7/4*r + 1/4*r**h = 0.
1, 6
What is k in 26*k + 1/4*k**5 + 45/2*k**3 + 0 + 41*k**2 + 19/4*k**4 = 0?
-13, -2, 0
Let q be (9360/336 - 28)/((-1)