 5*x**3/27 + 63*x. Determine o, given that i(o) = 0.
-5, -1, 0
Factor -192 - 2/3*j**3 - 52/3*j**2 - 128*j.
-2*(j + 2)*(j + 12)**2/3
Let j be 20/(-120) - 139/(-6). Solve 8*c**4 + 19 - 4*c**2 + 8*c**3 - 10*c + 3*c**5 - c**5 - j = 0.
-2, -1, 1
Find s, given that -11*s**3 + 18*s - 15*s**3 - s**4 + 25*s**2 + 19*s**3 + 13*s**3 = 0.
-2, -1, 0, 9
Let f be 18/8 - ((-68)/(-16) - (1 - -4)). Let 1/3*q**f + 0 - 2/3*q**4 + 0*q**2 + 1/3*q**5 + 0*q = 0. What is q?
0, 1
Let s(t) be the second derivative of t**6/60 - t**5/20 + t**4/24 + 29*t. Factor s(a).
a**2*(a - 1)**2/2
Let n(j) = -j**2 - 3*j + 43. Let y be n(-8). Let p(f) be the second derivative of 0*f**4 - 1/5*f**5 + 2*f**y + 4*f**2 + 4*f + 0. What is k in p(k) = 0?
-1, 2
Let q(a) be the first derivative of a**8/14280 - a**6/1530 + a**4/204 - 14*a**3/3 + 2. Let z(s) be the third derivative of q(s). Let z(u) = 0. Calculate u.
-1, 1
Let l(s) be the third derivative of 4/15*s**5 + 1/5*s**6 - 10/3*s**3 + 0 - s**4 - 17*s**2 + 0*s + 2/105*s**7. Factor l(t).
4*(t - 1)*(t + 1)**2*(t + 5)
Factor -9/8 - 1/8*p**2 + 5/4*p.
-(p - 9)*(p - 1)/8
Let z be (-14)/189 - (-1444)/5643. Factor z*a**2 + 2/11*a**3 - 2/11*a**5 - 2/11*a**4 + 0*a + 0.
-2*a**2*(a - 1)*(a + 1)**2/11
Suppose -8*o = 5*b - 3*o - 35, -3*b - 2*o = -16. Solve 192*k + b*k**3 - 432 + 78*k - 36*k**2 - 54*k = 0.
6
Determine g so that -10/9 - 8/9*g + 2/9*g**2 = 0.
-1, 5
Let v(b) be the second derivative of 12/5*b**3 - 18*b + 108/5*b**2 + 1/10*b**4 + 0. Suppose v(h) = 0. What is h?
-6
Suppose -4*g - 3*d = -22, 2*g - 2*d = -0*d + 4. Factor -10*v**4 + 7*v**4 - 200*v + 8*v**g + 30*v**2 - 29*v**3 + 69*v**3 + 125.
5*(v - 1)**2*(v + 5)**2
Factor -4/5*t**3 - 2*t**2 + 0 + 12/5*t + 2/5*t**4.
2*t*(t - 3)*(t - 1)*(t + 2)/5
Suppose 4*v = -m + 2*v + 24, -m = -v - 24. Let c = 52 - m. Let -3*y**2 + 28*y - c*y = 0. What is y?
0
Find u such that -7*u**2 + 900*u - 48*u**2 - 5*u**3 - 1897*u + 100 + 957*u = 0.
-10, -2, 1
Let m(c) be the first derivative of 1/3*c**6 - 2 + 76/15*c**5 + 505/18*c**4 + 584/9*c**3 + 128/9*c + 48*c**2. Factor m(j).
2*(j + 4)**3*(3*j + 1)**2/9
Let j(f) = -24*f**4 + 6*f**3 + 100*f**2 + 352*f - 44. Let d(x) = -x**4 - 2*x**2 - 2. Let w(p) = -44*d(p) + 2*j(p). Factor w(n).
-4*n*(n - 11)*(n + 4)**2
Suppose -2751*m + 2798*m - 94 = 0. Find s such that 9/4*s**m - 3/4*s**3 + 0*s + 0 = 0.
0, 3
Factor 1/6*g**2 - 6*g + 35/6.
(g - 35)*(g - 1)/6
Let n(h) be the second derivative of h**7/3360 + h**6/1440 - h**5/240 - 3*h**3/2 - 5*h. Let w(y) be the second derivative of n(y). Factor w(g).
g*(g - 1)*(g + 2)/4
Suppose -u - y = -3*u + 15, 0 = 3*u + 2*y - 5. Find b, given that 10*b**4 - 10*b**4 - 10*b**5 + u*b + 15*b**5 - 10*b**3 = 0.
-1, 0, 1
Let l be ((-84)/24)/((-2)/6). Suppose -3*t + 13 = -2*d, 3*d = 2*d - 2. Suppose l*z - 6*z**2 + t = 0. Calculate z.
-1/4, 2
Let a = -2160 - -2163. Solve 1/2*p + p**2 + 0*p**a + 0 - 1/2*p**5 - p**4 = 0.
-1, 0, 1
Suppose -5*g + 62 = -8. Let r = g + -11. Solve 14*d**2 - 10*d**r - 52*d - 14*d - 36 + 42*d**2 = 0.
-2/5, 3
Find d such that 2*d**2 + 4*d**4 + 7*d**4 - 6*d**2 + 0*d**2 - 12*d**4 + 5*d**3 = 0.
0, 1, 4
Let j be 2*(-1)/2*(5 + 1 + -6). Solve -4/7*x**4 + 0*x + j - 8/7*x**3 + 0*x**2 = 0 for x.
-2, 0
Let z be -10 + 4360/315 - 26/91. Factor 2/9*t**4 + 64/9*t + 16/3*t**2 + z + 16/9*t**3.
2*(t + 2)**4/9
Let a be (-4)/(-3) + (-2)/(-3). Suppose a*d = d. Factor -3*x + d*x**2 + 2*x**2 - x + 2*x.
2*x*(x - 1)
Let n be (10/(-36))/(-13*(-6)/279). Let g = 10/39 - n. Solve -9/4 + g*r**2 + 1/4*r**3 + 3/4*r = 0.
-3, 1
Let g(d) = 2*d**2 + 10*d + 44. Let v(s) = -s**2 - 6*s - 29. Let m(n) = -n**3 + n**2 - 1. Let y be m(2). Let z(i) = y*g(i) - 8*v(i). Suppose z(a) = 0. What is a?
-3, 2
Let h(i) be the third derivative of i**5/30 + 3*i**4/2 - 19*i**3/3 - 75*i**2. Let h(j) = 0. Calculate j.
-19, 1
Let q = -84 - -100. Let t be 3/((-12)/q) + 4. Determine n so that -2/9*n**2 - 2/9*n**3 + t*n + 0 = 0.
-1, 0
Let u be 832/320 - 24/15. Let 23/6*d + u + 4*d**3 + 1/6*d**5 + 17/3*d**2 + 4/3*d**4 = 0. What is d?
-3, -2, -1
Let f(k) be the second derivative of -k**5/190 + k**4/114 - 92*k. Factor f(b).
-2*b**2*(b - 1)/19
Let m = 2 - 2. Suppose m*z + 5*z - 3*z = 0. Find f, given that z + 3/2*f - 1/2*f**2 = 0.
0, 3
Let y(u) be the first derivative of -2*u**3 - 19 - 3/2*u**2 - 3/4*u**4 + 0*u. Factor y(w).
-3*w*(w + 1)**2
Let c(y) = 2*y**2 + 4*y - 17. Let w be c(-5). Factor m + 31*m + 3 + 12*m**2 + w.
4*(m + 2)*(3*m + 2)
Factor -3*h**2 - 43*h - 165 + 0*h**2 - 2*h**2 - 17*h - 110*h.
-5*(h + 1)*(h + 33)
Let o be 6*((-148)/(-777))/(2/7). Let w(a) be the first derivative of 1 + 2/3*a**3 + a**2 - o*a. Let w(z) = 0. Calculate z.
-2, 1
Let n be 12 + (-987)/84 + 2/(-8). Find y, given that n + 3*y + 1/2*y**2 = 0.
-6, 0
Suppose -2*k = 122 - 126. Suppose -k*q = o - q - 3, 2*q = 0. Factor o - 15*s - 3*s**3 + 51/4*s**2.
-3*(s - 2)**2*(4*s - 1)/4
Let y(p) = p**2 + 1. Let n(j) = 3*j**2 + 25*j - 2. Let i(d) = n(d) + 2*y(d). Factor i(m).
5*m*(m + 5)
Suppose 1 - 208*f**2 - 1 + 3 - 2704*f - 3 - 4*f**3 = 0. Calculate f.
-26, 0
Let r be 26/12 + (-5)/30. Factor -3*p - 1 + 12*p**r + 8*p - 14 - 5*p**3 + 3*p**2.
-5*(p - 3)*(p - 1)*(p + 1)
Let o(l) be the third derivative of -l**6/72 + l**5/120 + 5*l**3/2 + 24*l**2. Let k(t) be the first derivative of o(t). Find m such that k(m) = 0.
0, 1/5
Let z(j) be the third derivative of -j**6/110 - 47*j**5/330 + 2*j**4/33 + 140*j**2. Factor z(i).
-2*i*(i + 8)*(6*i - 1)/11
Let j(a) be the first derivative of 2*a + 1/66*a**4 - 1/165*a**6 + 0*a**5 + 1 + 0*a**2 + 0*a**3. Let c(k) be the first derivative of j(k). Factor c(l).
-2*l**2*(l - 1)*(l + 1)/11
Factor 0 - 2/3*q**2 - 530/3*q.
-2*q*(q + 265)/3
Let h(r) be the first derivative of 4*r**5/5 + 6*r**4 + 16*r**3 + 16*r**2 + 296. Determine b so that h(b) = 0.
-2, 0
Let y(l) be the third derivative of 1/420*l**5 + 0*l + 8*l**2 - 2/21*l**3 - 1/56*l**4 + 0. Factor y(k).
(k - 4)*(k + 1)/7
Factor 36/7*l - 1/7*l**3 - 40/7 - 6/7*l**2.
-(l - 2)**2*(l + 10)/7
Let k(s) be the second derivative of 0 - 1/231*s**7 + 1/11*s**2 + 1/165*s**6 - s - 1/33*s**3 - 1/33*s**4 + 1/55*s**5. Find n, given that k(n) = 0.
-1, 1
Let h(v) be the first derivative of -v**6/48 - v**5/10 - 3*v**4/32 + v**3/6 + v**2/4 - 43. Let h(i) = 0. What is i?
-2, -1, 0, 1
Let v(k) = -7*k**3 + 10*k**2 - 83*k + 98. Let s(o) = -o**3 - o**2 - o. Let q(b) = -6*s(b) + v(b). Let q(d) = 0. What is d?
2, 7
Let n(a) = -2*a**3 + 2*a**2 + 2*a. Let o be n(1). Let -6*i + 3/2*i**o + 9/2 = 0. Calculate i.
1, 3
Suppose -3*j + 0*i - 19 = 5*i, 0 = 4*j - 4*i - 28. Let w(h) be the second derivative of -1/2*h**j + 0 + 7/12*h**3 + 3/8*h**4 + 4*h. Factor w(c).
(c + 1)*(9*c - 2)/2
Let f be 1/(46/3)*4/6. Let n = 73/92 - f. Factor 1/4*o**2 - o + n.
(o - 3)*(o - 1)/4
Let d be 4/((-400)/(-215)) + 22/(-11). Let f(i) be the second derivative of 0*i**2 + 0*i**3 - d*i**5 + 0*i**4 + 5*i + 0. Let f(s) = 0. Calculate s.
0
Let d(b) be the second derivative of -35/16*b**5 - 34*b + 49/120*b**6 + 31/8*b**4 - 17/6*b**3 + 0 + b**2. Factor d(c).
(c - 2)*(c - 1)*(7*c - 2)**2/4
Let p(q) be the first derivative of 25*q**6/48 - 9*q**5/8 - 41*q**4/16 - q**3 + 94. Solve p(v) = 0 for v.
-4/5, -2/5, 0, 3
Suppose -147/4 - 45/4*f**2 - 3/4*f**3 - 189/4*f = 0. What is f?
-7, -1
Let q(x) be the first derivative of 40*x - 10/3*x**3 + 22 + 5/4*x**4 - 10*x**2. Find o, given that q(o) = 0.
-2, 2
Let g = 45 + -41. Let c be (g + -3)*(-4)/(-8). Factor -c*a**2 + 1/2*a + 0.
-a*(a - 1)/2
Let y(m) = 12*m + 75. Let p be y(-6). Suppose -2 = n - 4. Determine l so that -4 + l**3 + 5 + l + 2*l + p*l**n = 0.
-1
Let z(g) = g**3 - 6*g**2 - 6*g - 5. Let c be z(7). Suppose o = -k - 1, -3*k + 5*k = 2*o + 14. Suppose -w**k + 11 - 11 - w**c = 0. What is w?
-1, 0
Let g be 10/6 - 2817/2191. Let 8/21*o - 2/3*o**2 - 8/21*o**3 + g + 2/7*o**4 = 0. Calculate o.
-1, -2/3, 1, 2
Let b(u) = -10*u**3 - 4*u. Let m(l) = -19*l**3 + 2*l**2 - 10*l. Let x(n) = 5*b(n) - 2*m(n). Factor x(s).
-4*s**2*(3*s + 1)
Let v(x) be the second derivative of 2/3*x**3 - 4*x**2 - 7*x + 1/3*x**4 - 2. Factor v(i).
4*(i - 1)*(i + 2)
Let f(z) = 8*z**4 - 26*z**3 - 6*z**2 + 68*z + 34. Let t(g) = g**4 - g**3 + 2*g - 1. Let h(a) = -2*f(a) + 12*t(a). Let h(q) = 0. What is q?
-1, 2, 10
Let z(r) be the first derivative of -4*r**3/9 - 50*r**2/3 + 144. Find y, given that z(y) = 0.
-25,