9/2 - 1/2*j**x.
-(j - 9)**3/2
Factor -27648/7 + 2/7*w**3 - 144/7*w**2 + 3456/7*w.
2*(w - 24)**3/7
Let c(w) be the first derivative of -7 + 8/9*w + 7/9*w**2 - 1/18*w**4 + 4/27*w**3. Factor c(m).
-2*(m - 4)*(m + 1)**2/9
Suppose -6*z + 3/5*z**4 - 27/5 + 6*z**3 + 24/5*z**2 = 0. Calculate z.
-9, -1, 1
Let h(v) = v**3 + 1. Let a(r) = 8*r**3 - 30*r**2 + 45*r - 17. Suppose -27*y + 23*y - 4 = 0. Let f(w) = y*a(w) + 3*h(w). Factor f(p).
-5*(p - 4)*(p - 1)**2
Let x(n) = -n**3 + 21*n**2 + 48*n - 42. Let m be x(23). Let c(r) be the second derivative of -1/3*r**m + 7*r + 0*r**3 + 0 + 0*r**2. Factor c(h).
-4*h**2
Let -1/3*b**3 - b**2 + 1/2*b**4 + 1/6*b + 1/2 + 1/6*b**5 = 0. Calculate b.
-3, -1, 1
Suppose -140/3*w**4 - 77/3*w + 25/3*w**5 + 52/3*w**3 + 130/3*w**2 + 10/3 = 0. What is w?
-1, 1/5, 2/5, 1, 5
Let m(s) be the third derivative of s**7/105 - s**5/10 - s**4/6 - s**2 + 4*s. Find u such that m(u) = 0.
-1, 0, 2
Let c(n) be the first derivative of -n**9/24192 - n**8/4480 + n**7/1680 + 6*n**3 - 14. Let r(f) be the third derivative of c(f). Factor r(p).
-p**3*(p - 1)*(p + 4)/8
Let u = -15671/4 + 3918. Suppose 1/4*h**3 + u*h**2 - 1/2*h + 0 = 0. What is h?
-2, 0, 1
Let z be 16 + 12/4 + -4. Determine o, given that z*o**3 + 8*o + 40*o**2 - 4*o**2 + o**3 = 0.
-2, -1/4, 0
Let h(j) be the first derivative of j**8/560 - j**6/60 + j**4/8 - 23*j**3/3 + 9. Let l(o) be the third derivative of h(o). Factor l(k).
3*(k - 1)**2*(k + 1)**2
Let v(p) = -p**2 - 22*p + 459. Let f be v(-35). Solve 6/11*z**f + 12/11*z**2 + 0*z + 16/11*z**3 - 2/11 = 0.
-1, 1/3
Let 12*g**3 + 4*g**5 - 8*g**5 - g**3 - 16*g**3 + 44*g**4 - 35*g**3 = 0. What is g?
0, 1, 10
Suppose -23 + 2 = -7*v. Suppose -2*p + o + 74 = -50, v*p = -5*o + 212. Factor p*a - 16*a**2 + 4/3*a**3 - 256/3.
4*(a - 4)**3/3
Let o(z) = 5*z**2 - 12*z - 12. Let t(g) = g**2 + 6. Let p be t(3). Let k(q) = -21*q**2 + 48*q + 48. Let m(a) = p*o(a) + 4*k(a). What is n in m(n) = 0?
-2/3, 2
Suppose -3*n + 2*n = 21. Let o be (1*(-3)/n)/(4/14). Factor -o + 0*x + 3/2*x**4 - 4*x**3 + 3*x**2.
(x - 1)**3*(3*x + 1)/2
Let y(w) be the first derivative of -2*w**7/21 - 4*w**6/15 + w**5 + 2*w**4 + 14*w - 28. Let z(u) be the first derivative of y(u). Find t, given that z(t) = 0.
-3, -1, 0, 2
Let b be 3 + 4/4 + ((-91)/14 - -7). Find v such that -23/4*v**2 + 27/4*v**4 - b*v - 1 + 27/8*v**5 + 9/8*v**3 = 0.
-1, -2/3, 1
Let s be 25/(-2)*(-528)/110. Factor -147*r**5 - 2*r - 210*r**4 - 2*r + s*r**2 - 2*r - 6*r + 9*r**3.
-3*r*(r + 1)**2*(7*r - 2)**2
Let f(v) be the first derivative of -v**3/12 + 9*v**2 - 324*v + 76. Let f(p) = 0. Calculate p.
36
Let a be -304 - ((-22)/(-7) + -3)/(-1). Let v = a - -305. Factor -6/7 + v*h - 2/7*h**2.
-2*(h - 3)*(h - 1)/7
Let o(h) be the first derivative of 23*h**6/3 + 42*h**5/5 - h**4 - 1. What is l in o(l) = 0?
-1, 0, 2/23
Let i be ((-19)/(-7) + -3 + 0)/((-60)/28). Factor 0 + 2/15*s**4 - 4/15*s**2 + 0*s + i*s**3.
2*s**2*(s - 1)*(s + 2)/15
Find i, given that 88*i + 34*i**3 + 13 - 45*i**2 - 32*i**4 + 3 - 14*i**5 + 169*i**2 = 0.
-2, -1, -2/7, 2
Suppose -48*y = -43*y - 160. Factor -y*r**2 + 4*r - 3 + 1 + 30*r**2.
-2*(r - 1)**2
Let i(s) = -s**5 - s**4 + s**2 - s - 1. Let q(a) = -a**5 + 29*a**4 - 90*a**3 + 136*a**2 - 97*a + 29. Let z(y) = -2*i(y) - q(y). Find g, given that z(g) = 0.
1, 3
Let q(r) be the third derivative of 8*r**7/105 - 3*r**6/10 - 2*r**5/3 + r**4/2 + 22*r**2. Suppose q(s) = 0. What is s?
-1, 0, 1/4, 3
Suppose -4 + 32 = 4*j - 5*s, -5*j - 2*s + 2 = 0. Solve -20*v - j*v**2 + v**2 + 21*v = 0 for v.
0, 1
Let u(s) be the second derivative of -3/2*s**5 - 5/2*s**3 - 2*s - 1/2*s**6 + 0 - 3/2*s**2 - 1/14*s**7 - 5/2*s**4. Factor u(l).
-3*(l + 1)**5
Let h = 15 + -12. Factor 32 + 4*a + 2*a + h*a + 7*a + 2*a**2.
2*(a + 4)**2
Factor 16 - 185*h**3 + 157*h**3 - 57*h + 60*h**2 - 2*h**4 + 5*h + 6*h**4.
4*(h - 4)*(h - 1)**3
Let w(b) be the third derivative of -b**6/60 - 34*b**5/15 + 139*b**4/12 - 70*b**3/3 + 501*b**2. Factor w(i).
-2*(i - 1)**2*(i + 70)
Let b(u) = -u**3 + 5*u**2 - 3*u - 2. Let c = -16 + 20. Let x be b(c). Find z such that -2*z**2 + 0*z - x*z + 2*z**3 + 3*z**4 - z**4 = 0.
-1, 0, 1
Let z(k) be the third derivative of -k**5/105 - 4*k**4/21 + 6*k**3/7 - 188*k**2. Find s such that z(s) = 0.
-9, 1
Factor 1/5*u**2 - 14/5*u + 0.
u*(u - 14)/5
Let r = 65 - 63. Solve 13*f**r - f**2 - 11*f - 6*f**2 + 6 - f**3 = 0 for f.
1, 2, 3
Let v(n) = 2*n**2 - 1. Let d(r) = 55*r**2 - 15*r - 15. Let s(m) = -d(m) + 25*v(m). Let s(b) = 0. What is b?
1, 2
Let k(f) be the third derivative of -f**7/504 - f**6/36 + 5*f**5/24 + 7*f**4/8 + 11*f**2. Let g(a) be the second derivative of k(a). Factor g(v).
-5*(v - 1)*(v + 5)
Let n(w) = -6*w**2 - 202*w + 203. Let r(j) = -10*j**2 - 302*j + 304. Let d(m) = -8*n(m) + 5*r(m). Factor d(o).
-2*(o - 52)*(o - 1)
Let j(y) = -855439*y**2 + 10464*y - 32. Let c(s) = -427720*s**2 + 5232*s - 16. Let n(t) = -7*c(t) + 4*j(t). Suppose n(i) = 0. Calculate i.
2/327
Let m = 2/657 - -874/657. Factor -4/3*t**2 + 4/3*t - 4/3*t**3 + m.
-4*(t - 1)*(t + 1)**2/3
Let g(r) be the third derivative of -r**5/300 - r**4/30 - 2*r**3/15 + 13*r**2 + 3*r. Factor g(f).
-(f + 2)**2/5
Let f = -2/667 + 677/3335. Solve -1/5 - f*a**2 + 2/5*a = 0.
1
Let n(s) be the third derivative of -1/15*s**5 + 0 + 0*s**3 + 9*s**2 - 1/6*s**4 + 0*s. Determine o, given that n(o) = 0.
-1, 0
Let y(g) be the third derivative of 0*g**3 + 0 + 5/8*g**4 - 1/20*g**5 + 0*g - 25*g**2. Factor y(x).
-3*x*(x - 5)
Let w(k) be the third derivative of k**6/24 - k**5/12 - 85*k**4/24 - 25*k**3/2 - 61*k**2. Factor w(s).
5*(s - 5)*(s + 1)*(s + 3)
Suppose -3*f - 3*o = 309, -o + 49 + 163 = -2*f. Let x = 105 + f. Suppose 4/7*b - 10/7*b**2 + x - 2/7*b**4 + 8/7*b**3 = 0. Calculate b.
0, 1, 2
Suppose -k + w - 3*w + 39 = 0, -w = 4*k - 177. Suppose 0*t - k = -5*x - 2*t, 25 = 5*t. Factor -4*d**2 + 0 + x*d + d**3 + 3*d - 5*d - 2.
(d - 2)*(d - 1)**2
Suppose -197*x = -192*x - 880. Let a = x + -351/2. Find f, given that 1/2*f**2 - 1/4*f**5 + a*f**3 - 1/4*f - 1/4*f**4 - 1/4 = 0.
-1, 1
Let v be (-3)/(-3 - (-2 - 2)). Let c = v - -7. Factor -5*g**2 + 1 - c*g**3 + 0*g**3 - g - 1.
-g*(g + 1)*(4*g + 1)
Let x(y) = 7*y**5 + 9*y**4 + 38*y**3 + 60*y**2 + 27*y + 13. Let l(q) = q**5 - q**4 + 2*q**2 - q + 1. Let c(k) = 5*l(k) - x(k). Factor c(d).
-2*(d + 1)**3*(d + 2)**2
Let x(q) be the first derivative of q**4 + 26*q**3/9 + 2*q**2/3 + 936. Factor x(j).
2*j*(j + 2)*(6*j + 1)/3
Factor 0 - 4*b + 46/11*b**2 - 2/11*b**3.
-2*b*(b - 22)*(b - 1)/11
Suppose 5*p - 4*p = 10. Suppose 15*k**3 + k + 19*k**5 - 24*k**5 - k + p*k**2 = 0. Calculate k.
-1, 0, 2
Let q(c) be the third derivative of 0*c**5 + 0*c - 1/60*c**6 + 0*c**3 + 0 - 21*c**2 + 1/3*c**4. Solve q(h) = 0 for h.
-2, 0, 2
Let w(x) = x**2 + 9*x + 9. Let t be w(-8). Suppose 0 = -2*m + 15 - t. Factor -4 + m*p + p - 8*p**2 + 2*p**3 + 2*p.
2*(p - 2)*(p - 1)**2
Let i(z) = -3*z**2 - 389*z - 221. Let m(f) = -2*f**2 - 194*f - 112. Let w(p) = -4*i(p) + 9*m(p). Factor w(a).
-2*(a + 31)*(3*a + 2)
Let y(i) be the first derivative of -i**3/3 + 5*i**2/2 - 2*i - 9. Let t be y(3). Suppose 3*z**4 + 14*z**3 - 3*z**t - 10*z**2 - 6*z**4 + 2*z = 0. What is z?
0, 1/3, 1
Let z be 16/6*(-3)/(-4). Let t be 1*6/9*z/4. Factor 2/3 + t*a**2 - a.
(a - 2)*(a - 1)/3
Let h be (-96)/11 + 283 + -274. Factor h*y**4 + 0*y - 1/11*y**5 + 0*y**2 - 2/11*y**3 + 0.
-y**3*(y - 2)*(y - 1)/11
Factor 375/2*p**3 + 87/4*p**4 + 507/4 + 3/4*p**5 + 879/2*p**2 + 1599/4*p.
3*(p + 1)**3*(p + 13)**2/4
Let t(r) be the second derivative of r**8/840 - 8*r**7/525 + r**6/60 + r**5/3 + 19*r**2/2 + 13*r. Let h(s) be the first derivative of t(s). Factor h(b).
2*b**2*(b - 5)**2*(b + 2)/5
Solve 1/2*p**4 + 0 + 10*p - 8*p**2 + 1/2*p**3 = 0 for p.
-5, 0, 2
Suppose 5*c - 4 - 16 = -5*k, k - 14 = -3*c. Factor 7*n**5 + 4*n**2 - 6*n**4 + n**c + n**5 - 11*n**3 + 4*n.
n*(n - 1)**2*(3*n + 2)**2
Let r = -77 - -79. Suppose -3*m = r*m - 15. Factor -3/4*d**4 + 15/4*d + 9/4*d**2 - 3/4*d**m + 3/2.
-3*(d - 2)*(d + 1)**3/4
Let z be ((-2)/6)/((-178)/1602). Find d such that 1/10*d + 1/10*d**2 - 1/10 - 1/10*d**z = 0.
-1, 1
Let c(d) be the first derivative of -10*d**3/3 + 365*d**2/2 - 180*d - 328. Solve c(p) = 0.
1/2, 36
Let q(c) be the first derivative of -c**4/10 - 2*c**3/5 - 2*c**2/5 - 182. Solve q(o) = 0.
-2, -1, 0
Let q = -27/130 - -497/2080. Let