r y(x).
-x*(x - 36)/11
Let n(j) be the second derivative of -j**7/10080 + j**6/1440 - j**5/480 + 5*j**4/2 + j + 1. Let d(b) be the third derivative of n(b). Factor d(q).
-(q - 1)**2/4
Let o(c) be the first derivative of c**4/26 + 4*c**3/39 - c**2/13 - 4*c/13 + 20. Suppose o(j) = 0. What is j?
-2, -1, 1
Let y(t) be the first derivative of -t**4/9 + 20*t**3/9 + 13. Suppose y(p) = 0. What is p?
0, 15
Let j(g) = g**3 + 13*g**2 + 25*g + 36. Let s be j(-11). Factor -15/2*f**2 + 0*f + 5/2 + 5*f**s.
5*(f - 1)**2*(2*f + 1)/2
Let b be ((-31)/7 - (-15 - -14))*-7. Suppose -34 = b*d - 106. Factor 0 - 12/5*g**2 - 8/5*g - 4/5*g**d.
-4*g*(g + 1)*(g + 2)/5
Suppose 1 - 3 = -96*x - 2. Factor x*k + 0 + 1/5*k**2.
k**2/5
Suppose -w = -7*w. Let o(d) be the first derivative of 0*d**5 - 1/6*d**6 + w*d**2 + 1/4*d**4 + 0*d**3 + 0*d + 3. Find v, given that o(v) = 0.
-1, 0, 1
Let a(w) be the third derivative of w**6/300 - w**4/60 - 57*w**2. Suppose a(m) = 0. What is m?
-1, 0, 1
Let n(a) be the second derivative of -a**4/36 + a**3/9 + 4*a**2/3 + a + 106. Factor n(i).
-(i - 4)*(i + 2)/3
Suppose 3*u - 34 = u. Suppose -4*d + u = 3*l, d - 5*l + 5 = -8. Factor 8 + x**4 - 4*x + 6*x**2 + x**3 - 6*x**d - 6*x**2.
(x - 2)*(x - 1)*(x + 2)**2
Let i(p) be the third derivative of p**8/5040 - p**7/126 + 5*p**6/36 + p**5/15 - 26*p**2. Let t(k) be the third derivative of i(k). Factor t(c).
4*(c - 5)**2
Let s be (-40)/(-35) + 195/105. Factor 0 - 2/3*m - 2/9*m**s - 8/9*m**2.
-2*m*(m + 1)*(m + 3)/9
Suppose -372*w + 358*w + 28 = 0. Let y(s) be the third derivative of 1/3*s**3 + 0*s - 5/18*s**4 - 8*s**w + 0 + 5/54*s**5. What is q in y(q) = 0?
3/5
Suppose -2*c = 2*c. Let g = 592 + -590. Determine s so that -1/2*s**3 + c*s - s**g + 0 = 0.
-2, 0
What is r in -5*r**2 + 11/2*r**3 + 21/4 - 1/4*r**4 - 11/2*r = 0?
-1, 1, 21
Let g(p) be the first derivative of -1/9*p**6 - 1/2*p**4 + 0*p - 2/9*p**3 - 36 - 2/5*p**5 + 0*p**2. Factor g(x).
-2*x**2*(x + 1)**3/3
Suppose 5*s - 3*m + 6*m = 18, 4*m - 10 = -2*s. Let z(c) be the second derivative of 0 + 0*c**s + c - 1/24*c**4 + 1/3*c**2 + 1/120*c**5. Factor z(t).
(t - 2)**2*(t + 1)/6
Let m(q) be the second derivative of -21*q**5/10 + 25*q**4/4 - 4*q**3 - 9*q**2/2 + 118*q + 2. Factor m(p).
-3*(p - 1)**2*(14*p + 3)
Let c(z) be the third derivative of -z**9/90720 + z**8/30240 + z**7/1890 - z**6/270 + 5*z**5/12 + 4*z**2. Let u(y) be the third derivative of c(y). Factor u(x).
-2*(x - 2)*(x - 1)*(x + 2)/3
Let l(c) = c**2 + 13*c + 44. Let j be (12/(-10))/((-6)/270*-9). Let y be l(j). Factor -r + 3/2 - 1/2*r**y.
-(r - 1)*(r + 3)/2
Let d = 4707 + -32947/7. Solve 0*z - 4/7*z**2 - d*z**3 + 0 = 0.
-2, 0
Let z be (-2)/((-1326)/1704 + (-9)/(-12)). Let b = z - 69. Find l, given that -9/2 + 3/2*l**3 - 3/2*l**b - 15/2*l = 0.
-1, 3
Let c be -8 - 11405/(-600) - 11. Let y(i) be the third derivative of i**2 + 0 - 1/24*i**4 - 1/60*i**5 + 0*i + c*i**6 + 0*i**3 + 1/210*i**7. Factor y(v).
v*(v - 1)*(v + 1)**2
Suppose -4*b + 4*c = 0, 0 = -0*b + 3*b + 4*c - 21. Factor 4*d**2 - 2*d**2 - b*d - 3 + d**2 + 3*d**3.
3*(d - 1)*(d + 1)**2
Let t(a) be the first derivative of 0*a + 12 + 1/4*a**2 + 1/12*a**3. Factor t(p).
p*(p + 2)/4
Let n = -471 - -8004/17. Let d = 67/187 + n. Factor 0*z**2 + 2/11*z**3 - d*z**4 + 0 + 0*z.
-2*z**3*(z - 1)/11
Let o(r) be the third derivative of r**5/12 + 45*r**4/4 + 1215*r**3/2 - 9*r**2. Solve o(l) = 0.
-27
Determine d so that -9/5*d + 1/5*d**4 + 2 - 11/5*d**2 + 9/5*d**3 = 0.
-10, -1, 1
Let u(t) be the second derivative of 9*t - 2/3*t**2 + 0 + 2/9*t**3 - 1/36*t**4. Factor u(o).
-(o - 2)**2/3
Let y(i) = i**2 + 7*i + 10. Let r be y(-5). Factor -9*h**2 + 17 - 3*h**3 + r*h**2 - 17.
-3*h**2*(h + 3)
Suppose i + 9*i = 50. Determine l so that -90*l + i*l**2 - 37 + 199 - 43 + 286 = 0.
9
Let u(y) be the third derivative of 0*y + 1/5*y**5 - 4/105*y**7 + 1/56*y**8 - 1/15*y**6 + 7*y**2 + 1/12*y**4 - 2/3*y**3 + 0. Factor u(v).
2*(v - 1)**3*(v + 1)*(3*v + 2)
Let i(k) be the third derivative of 0*k + 0*k**3 - 1/672*k**8 + 0*k**7 + 0*k**5 + 1/120*k**6 - 12*k**2 - 1/48*k**4 + 0. Factor i(f).
-f*(f - 1)**2*(f + 1)**2/2
Let r(v) be the first derivative of -2*v**5/45 + 10*v**3/27 - 8*v/9 + 27. Suppose r(q) = 0. Calculate q.
-2, -1, 1, 2
Suppose 2*g + 6 = -u + 15, 5*u = 3*g + 19. Suppose -w - 2 = -4*w - g*y, -w - 1 = y. Solve 4/5*v**5 + 3/5*v**3 + 0*v**2 - 7/5*v**w + 0 + 0*v = 0.
0, 3/4, 1
Let l be 51/(-85) + 113/5. Let z = -22 + l. Suppose 2/9*u**2 + z - 2/9*u = 0. Calculate u.
0, 1
Let z = 125/452 + -3/113. Let t(y) be the second derivative of 0*y**3 + 0 - 6*y - 1/10*y**6 - z*y**4 + 0*y**2 + 3/10*y**5. Let t(b) = 0. What is b?
0, 1
Factor -230*i**4 + 233*i**4 - 2*i + i - 25*i**3 - 23*i + 0*i + 46*i**2.
i*(i - 6)*(i - 1)*(3*i - 4)
Let d = -831 + 112186/135. Let y(h) be the second derivative of -2/3*h**4 - 3*h**2 - 2*h**3 - 1/9*h**5 + 0 - d*h**6 - 4*h. Factor y(j).
-2*(j + 1)*(j + 3)**3/9
Let d be (-6*(-2)/(-3))/(2/(-53)). Suppose 0 = -d*i + 99*i + 14. Determine n, given that -1/4*n + 1/2*n**i - 1/4 = 0.
-1/2, 1
Let q = 74 - 72. Let k(h) be the third derivative of 1/4*h**3 - 3/32*h**4 + 0*h + 1/80*h**5 + 0 + 3*h**q. Factor k(v).
3*(v - 2)*(v - 1)/4
Let w(x) be the third derivative of 1/195*x**5 + 0 - 10*x**2 + 7/156*x**4 + 4/39*x**3 - 1/780*x**6 + 0*x. Suppose w(y) = 0. What is y?
-1, 4
Let f(k) be the first derivative of -3/16*k**4 - 3/20*k**5 + 9 + 0*k + 3/8*k**2 + 1/4*k**3. Let f(s) = 0. Calculate s.
-1, 0, 1
Find f, given that -2/3*f**4 + 40/21*f + 8/21 - 10/21*f**5 + 26/21*f**3 + 62/21*f**2 = 0.
-1, -2/5, 2
Suppose -20 = 3*p - 4*t, 0 = -2*p + t + t - 10. Let d(g) be the third derivative of p + 3/13*g**3 + 0*g + 1/26*g**4 + 6*g**2 + 1/390*g**5. Factor d(k).
2*(k + 3)**2/13
Let 83*v**2 - 27*v - 27 - v**3 - 178*v**2 + 86*v**2 = 0. What is v?
-3
Let h(x) be the third derivative of -x**9/120960 + x**8/5760 - 31*x**5/60 + 38*x**2. Let q(v) be the third derivative of h(v). Suppose q(f) = 0. Calculate f.
0, 7
Let c(x) be the first derivative of -4*x**3/3 - 16*x**2 - 28*x - 73. Factor c(g).
-4*(g + 1)*(g + 7)
Let a(v) = v**2 + 6*v + 4. Suppose -3*h = -10*h - 42. Let q be a(h). Factor 0*u**2 - 8/7*u**3 - 4/7 + 8/7*u + 4/7*u**q.
4*(u - 1)**3*(u + 1)/7
Let v(w) = -3*w**2 - 11*w - 1. Let f = 12 + -4. Let k(q) = f*q**2 + 1 + q**2 - 8*q**2 + q. Let c(y) = 6*k(y) - 2*v(y). Factor c(x).
4*(x + 2)*(3*x + 1)
Let h(q) be the first derivative of 1/9*q**3 + 25/3*q + 5/3*q**2 + 13. Determine p, given that h(p) = 0.
-5
Let l(p) be the third derivative of -p**9/7560 + p**8/1680 - p**7/1260 - 13*p**4/24 + 4*p**2. Let d(y) be the second derivative of l(y). Factor d(m).
-2*m**2*(m - 1)**2
Factor 0 + 2*v - 1/6*v**2.
-v*(v - 12)/6
Let f(c) be the second derivative of -c**5/90 + 2*c**4/9 - 20*c**3/27 + 23*c - 2. Find r such that f(r) = 0.
0, 2, 10
Let g(y) be the second derivative of 3*y**7/14 + 7*y**6/10 - 9*y**5/20 - 11*y**4/4 + 6*y**2 + 160*y - 1. Determine t so that g(t) = 0.
-2, -1, 2/3, 1
Suppose 3*c - 138 = 4*a, 3*a - c + 48 = -58. Let p be (-2 - 1)*a/486. Factor -8/9 - p*x**2 + 8/9*x.
-2*(x - 2)**2/9
Let u = 1049 - 1049. Let i(c) be the third derivative of 1/132*c**4 + 3*c**2 + 0 + 1/165*c**5 + 0*c + u*c**3 + 1/660*c**6. Solve i(x) = 0.
-1, 0
Let f(q) = q**5 - q**2 - q. Let z(a) = -16*a**5 - 4*a**4 + 126*a**3 - 82*a**2 - 26*a. Let m(k) = -4*f(k) + 2*z(k). Solve m(i) = 0.
-3, -2/9, 0, 1, 2
Let u(d) = 6*d**3 + 15*d**2 + 3. Let a(c) = -c**4 - 19*c**3 - 43*c**2 - c - 8. Let f(m) = 3*a(m) + 8*u(m). What is k in f(k) = 0?
-1, 0
Factor -10/11 - 8/11*w + 2/11*w**2.
2*(w - 5)*(w + 1)/11
Let s(p) be the second derivative of 5*p**4/12 - 35*p**3/6 + 15*p**2 - 3*p + 18. Factor s(k).
5*(k - 6)*(k - 1)
Let x = 13121/105096 + 2/13137. Let -1/8*z**5 + 0 - 1/8*z**2 + x*z**4 + 1/8*z**3 + 0*z = 0. What is z?
-1, 0, 1
Let y(v) be the second derivative of v**4/4 + 2*v**3 + 9*v**2/2 - 2*v - 20. Factor y(b).
3*(b + 1)*(b + 3)
Let h(k) be the third derivative of -k**9/7560 - k**8/3360 + 5*k**4/12 - 14*k**2. Let s(w) be the second derivative of h(w). Factor s(d).
-2*d**3*(d + 1)
Let m(z) = -18*z + 9*z - 14 + 6*z. Let v be m(-6). Let v*k**3 - 13*k**2 - 6*k - k**3 + 16*k**2 = 0. What is k?
-2, 0, 1
Let v be 12/22 - (-1407)/(-2640). Let k(n) be the third derivative of 0*n + v*n**5 + 3/32*n**4 + 0*n**3 + 0 - 12*n**2. Find z, given t