0/3*x = 0.
0, 2/7, 10
Let s(w) = w + 10*w - 4*w - 3*w - w**2. Let v be s(4). Determine z, given that v - 4/3*z**2 - 2/3*z + 5/6*z**3 = 0.
-2/5, 0, 2
Suppose 0*n + 4*n = i + 16, -2*i - 11 = -n. Suppose 13*h**2 + 2*h**n + 16*h - 23*h**2 - 8 + 0*h**3 = 0. What is h?
1, 2
Let i(r) = -37*r**4 - 144*r**3 - 61*r**2 - 8*r. Let v(c) = 18*c**4 - 4*c - 3*c + 31*c**2 + 72*c**3 - 2*c + 13*c. Let s(b) = 2*i(b) + 5*v(b). Solve s(x) = 0.
-4, -1/4, 0
Let a(f) be the third derivative of -f**5/300 - 9*f**4/5 - 1944*f**3/5 + 207*f**2. What is s in a(s) = 0?
-108
Suppose 31 = -3*r + 3*o + 64, 0 = -5*r + 2*o + 52. Let n(j) be the first derivative of -1/2*j - r - 3/8*j**2 - 1/12*j**3. Factor n(q).
-(q + 1)*(q + 2)/4
Let t be (-8)/(-16)*-10*-1. Let d(x) be the third derivative of 1/540*x**6 + 0*x**t + 0*x**3 + 1/945*x**7 + 0*x - x**2 + 0 + 0*x**4. Factor d(n).
2*n**3*(n + 1)/9
Let q be (-182)/(-7)*6/(-4). Let f = 41 + q. Factor 32*t**3 - f*t**5 - 14*t + 3*t**5 - 16 - 56*t**2 - t + 63*t - 9*t**4.
(t - 2)**4*(t - 1)
Determine a so that 34*a**2 - 13*a**2 + 24*a**2 + 428 - 293 - 135*a - 5*a**3 = 0.
3
Let p(l) be the third derivative of 0*l**4 + 1/40*l**6 + 0*l**5 - 1/224*l**8 + 0*l**3 + 4*l**2 + 0*l + 1/140*l**7 + 0. Factor p(d).
-3*d**3*(d - 2)*(d + 1)/2
Let w(k) = -124*k - 122. Let p be w(-1). Determine a so that 5*a**4 + 5/2*a - 5*a**3 + 5 + 5/2*a**5 - 10*a**p = 0.
-2, -1, 1
Suppose 2*b - 3*n = -4*n + 7, -4*b - 3*n + 17 = 0. Let t = -265 - -268. Factor -q**b + q - 2*q - q**2 - t*q.
-2*q*(q + 2)
Let r = 45221/101808 - -3/11312. Determine b, given that 2/9*b**2 - r*b + 0 = 0.
0, 2
Let m(y) be the first derivative of 2*y**2 - 4*y + 6 - 1/3*y**3. Let m(v) = 0. Calculate v.
2
Factor 0 + 2*d + 1/3*d**3 + 7/3*d**2.
d*(d + 1)*(d + 6)/3
Let q(x) = -x**2 + 3*x. Let c be q(3). Suppose -2*n - 3 = -5*a + n, c = -4*a + 4*n + 4. Factor -18*h**3 + 19*h**3 + a*h**5 - h**5.
-h**3*(h - 1)*(h + 1)
Let w(l) be the second derivative of -l**8/1680 + l**7/420 + 14*l**3/3 - 25*l. Let z(y) be the second derivative of w(y). Find t such that z(t) = 0.
0, 2
Factor -1/10*w**4 + 1/10*w**2 + 0*w**3 + 0 + 0*w.
-w**2*(w - 1)*(w + 1)/10
Let p(d) = -6*d**2 + 30*d - 72. Let v(r) be the first derivative of 11*r**3/3 - 30*r**2 + 145*r + 3. Let z(k) = -5*p(k) - 3*v(k). Factor z(y).
-3*(y - 5)**2
Let x = -6660 - -6662. Factor 3/5*k**x + 0*k + 0.
3*k**2/5
Suppose -136/15*w**2 - 138/5*w**4 - 172/5*w**3 + 0 + 16/15*w = 0. Calculate w.
-2/3, 0, 2/23
Suppose 107*k = 103*k + 20. Let w(v) = -v**2 + 1. Let t(x) = -x - 1. Let a(j) = -3*t(j) + w(j). Let g(l) = l + 1. Let o(m) = k*g(m) - a(m). Factor o(h).
(h + 1)**2
Let x = 1752 + -1742. Factor -9/2*r**2 - 2 - x*r.
-(r + 2)*(9*r + 2)/2
Let k(d) be the second derivative of d**6/360 - d**5/15 + 2*d**4/3 - 2*d**3/3 + 12*d. Let h(g) be the second derivative of k(g). Factor h(c).
(c - 4)**2
Solve -2/9*q**5 + 2/9*q**4 + 2/3*q**2 + 0*q + 0 + 10/9*q**3 = 0.
-1, 0, 3
Suppose 0 = 3*g - 4*c + 4, 0 = -0*c + 2*c - 8. Suppose -2*z - g*z = -12. Factor -u**2 + 0*u**z - u - 3*u - 3*u**2.
-4*u*(u + 1)
Let i(p) = -3*p - 26. Let b be i(-10). Let y(k) = -3*k**2 + 13*k + 8. Let t(m) = 3*m**2 - 12*m - 9. Let s(f) = b*t(f) + 3*y(f). Solve s(g) = 0.
-1, 4
Let v(r) be the first derivative of -5*r**6/3 + 29*r**5/2 - 35*r**4/2 - 25*r**3/2 + 45*r**2/2 - 290. Find i such that v(i) = 0.
-3/4, 0, 1, 6
Factor -10*x - 19*x**2 + 3*x**4 + 3*x**3 - 5*x**3 + 2*x + 2*x.
x*(x - 3)*(x + 2)*(3*x + 1)
Let c(o) = -o**3 - 2*o**2 - 6. Let i be c(-4). Factor -27*l**2 + 54*l**2 - i*l**2 - 5*l.
l*(l - 5)
Let c be (15/9)/((-3)/27). Let j be ((-10)/c)/((-1)/(27/(-33))). Suppose -2/11*a**4 - 2/11*a + 0 - j*a**2 - 6/11*a**3 = 0. What is a?
-1, 0
Suppose 68/3*m**2 + 25 + 1/3*m**4 + 14/3*m**3 + 130/3*m = 0. What is m?
-5, -3, -1
Let c be -1 - (-22)/16 - 7/56. Let s(g) be the second derivative of 0 + c*g**2 - 1/8*g**3 + 1/48*g**4 + 6*g. Determine u so that s(u) = 0.
1, 2
Let w be 6/(-90) - 238/(-420). Factor 0*c + w*c**2 - c**3 + 0 + 1/2*c**4.
c**2*(c - 1)**2/2
Suppose -772 - 1425 = 13*v. Let j = 171 + v. Let 16/9*i + 32/9 + 2/9*i**j = 0. Calculate i.
-4
Let n(s) be the first derivative of -s**4/24 - 5*s**3/6 + 4*s**2/3 + 427. Suppose n(u) = 0. What is u?
-16, 0, 1
Determine u, given that -3 - 6*u**3 + 0*u**5 + 6*u**2 + 6*u - 2*u**3 + 2*u**5 - 2*u**2 - 1 = 0.
-2, -1, 1
Suppose -9 = -5*h + 1. Let d = -19 - -21. Factor -2*z**h - 10*z**3 - d*z**4 + 10*z**3 + 4*z**3.
-2*z**2*(z - 1)**2
Let -6/11*f**2 - 12/11*f + 0 + 6/11*f**3 = 0. What is f?
-1, 0, 2
Suppose 0 = -9*d + 7*d - 12. Let o be (-35)/84 + 4*(-1)/d. Find x, given that o*x**2 + 3/4 + x = 0.
-3, -1
Let k(d) be the third derivative of -d**7/525 - 34*d**6/75 - 1156*d**5/25 - 39304*d**4/15 - 1336336*d**3/15 - 245*d**2. Find z, given that k(z) = 0.
-34
Let t = 26 + -26. Suppose t*s + 21*s**5 - 24*s**5 + 0*s + 12*s**2 - 9*s**4 = 0. What is s?
-2, 0, 1
Let r(j) be the third derivative of 0*j**3 - 1/168*j**4 + 0 + 26*j**2 + 1/105*j**6 + 1/210*j**5 + 0*j. Factor r(h).
h*(2*h + 1)*(4*h - 1)/7
Factor -2*g**3 + 94*g**5 + 11*g**3 - 91*g**5 - 12*g**4.
3*g**3*(g - 3)*(g - 1)
Let q(x) = -2*x**2 - 50*x + 40. Let o(z) = -z**2 - 49*z + 40. Let r(v) = 6*o(v) - 5*q(v). Factor r(s).
4*(s - 10)*(s - 1)
Factor -9*o**4 + 0*o**2 - 18*o**2 + 98 + 24*o**3 - 95.
-3*(o - 1)**3*(3*o + 1)
Let c be 2*((-102)/(-12) - (4 - -3)). Factor -1/8*k**c - 3/8*k**2 + 0 + 1/2*k.
-k*(k - 1)*(k + 4)/8
Let o be (-636)/(-360) - (-84)/(-72). Factor o*a**2 + 0 + 0*a**3 - 1/5*a**4 + 2/5*a.
-a*(a - 2)*(a + 1)**2/5
Let q(y) be the third derivative of -y**9/20160 - y**8/1120 - y**7/210 + 3*y**4/4 + 23*y**2. Let o(x) be the second derivative of q(x). Factor o(c).
-3*c**2*(c + 4)**2/4
Let o(y) be the first derivative of y**3/5 - 84*y**2 + 11760*y - 64. Factor o(t).
3*(t - 140)**2/5
Let y(b) be the third derivative of -b**8/23520 + b**7/8820 + b**6/504 + b**5/140 + 5*b**4/24 - 4*b**2. Let k(z) be the second derivative of y(z). Factor k(w).
-2*(w - 3)*(w + 1)**2/7
Let a(g) be the first derivative of -3*g**7/140 - g**6/10 - g**5/5 - 2*g**4/9 + 20*g**3/3 + 10. Let s(z) be the third derivative of a(z). Factor s(o).
-2*(3*o + 2)**3/3
Let j be 4 + 1*(-10)/5. Factor 2*m + 5*m**2 - 5*m - 2*m - 10 + 0*m**j.
5*(m - 2)*(m + 1)
Let q(z) be the first derivative of 16 - 2/3*z**3 + 6*z - 2*z**2. Factor q(f).
-2*(f - 1)*(f + 3)
Let w(v) be the second derivative of 13*v**4/21 - 34*v**3/7 - 8*v**2/7 - 520*v. Factor w(i).
4*(i - 4)*(13*i + 1)/7
Let n(y) be the second derivative of -y**5/300 + y**4/60 + 3*y**2/2 + 4*y. Let l(g) be the first derivative of n(g). Factor l(h).
-h*(h - 2)/5
Let n(x) be the second derivative of -1/30*x**6 + 0*x**2 - 10*x + 1/3*x**3 + 1/4*x**4 + 0 + 0*x**5. Determine i so that n(i) = 0.
-1, 0, 2
Let w(b) = b**3 - 23*b**2 + b - 21. Suppose 0 = -42*r + 50*r - 184. Let i be w(r). Find g, given that 1/3*g**3 - 1/3 + g**i - 2/3*g**4 - 1/3*g = 0.
-1, -1/2, 1
Let p(w) be the third derivative of w**7/70 + w**6/20 - w**5 + 3*w**4 + 50*w**2. Find x such that p(x) = 0.
-6, 0, 2
Let i be 1/3 - 0 - 4/16. Let j(t) be the second derivative of t + 1/6*t**3 + t**2 + 0 - i*t**4. Factor j(u).
-(u - 2)*(u + 1)
Let g(u) be the third derivative of -7*u**6/180 + 2*u**5/15 - u**4/12 + u**3/3 - 2*u**2. Let n(a) be the first derivative of g(a). Factor n(t).
-2*(t - 1)*(7*t - 1)
Let j(q) = 4*q**2 - 16. Suppose 0 = y + 2*y + 15. Let n(f) = -4*f**2 + 16. Let v(h) = y*n(h) - 4*j(h). Suppose v(i) = 0. Calculate i.
-2, 2
Let z(p) be the first derivative of 2/9*p**3 + 0*p + 1/4*p**4 + 1/15*p**5 + 8 + 0*p**2. Factor z(h).
h**2*(h + 1)*(h + 2)/3
Let j(y) be the second derivative of -y**4/72 - y**3/9 - y**2/4 - 164*y. Suppose j(p) = 0. Calculate p.
-3, -1
Let i = 2/45161 - -361278/225805. Factor 1/5*c**5 - 6/5*c**3 - 3/5*c + 0 + i*c**2 + 0*c**4.
c*(c - 1)**3*(c + 3)/5
Let j(g) be the third derivative of -5*g**2 - 1/1344*g**8 + 1/240*g**5 + 1/6*g**3 - 1/12*g**4 + 0 - 1/840*g**7 + 1/96*g**6 + 0*g. Suppose j(f) = 0. What is f?
-2, 1
Let h be (2/(-9))/((-1)/6). Let y be -13 + 357/28 - ((-39)/12)/1. Factor 4/3*m**y + 0 - h*m + 0*m**2.
4*m*(m - 1)*(m + 1)/3
Suppose 4*n = 4*n + 6*n. Let a = n + 2/5. Find h, given that -2/5*h - a + 2/5*h**2 + 2/5*h**3 = 0.
-1, 1
Let d = 3052 + -3049. Solve 3/2*q**d + 0*q**2 - 3/4*q**5 + 0*q**4 - 3/4*q + 0 = 0.
-1, 0, 1
Let 