Factor -8*k - 6 - 8/3*k**2.
-2*(2*k + 3)**2/3
Let w(d) = -d**5 + d**3 + d**2 - 1. Let p(j) = -5*j**5 + j**4 + j**3 + 5*j**2 + 8*j - 10. Let m be (0 - 3)/6 - 4/8. Let k(s) = m*p(s) + 6*w(s). Factor k(l).
-(l - 1)**3*(l + 2)**2
Let d = 5 + -3. Factor -3*l**2 + 4*l**d - 56*l + 50*l - 7.
(l - 7)*(l + 1)
Let o be (2 - 1)/((-8)/(-56)). Let x = o - 3. Factor x - l**2 + 3*l - 2*l**3 - l + l**4 - 4.
l*(l - 2)*(l - 1)*(l + 1)
Let h(r) be the first derivative of r**4/10 + 2*r**3 + 72*r**2/5 + 216*r/5 + 124. Solve h(p) = 0 for p.
-6, -3
Let z(c) be the second derivative of -c**5/100 + c**4/20 - 2*c**2/5 + 35*c + 2. Factor z(m).
-(m - 2)**2*(m + 1)/5
Let w(m) be the third derivative of m**7/735 - m**5/210 - 34*m**2. Suppose w(j) = 0. What is j?
-1, 0, 1
Factor -5*j**4 + 3*j**2 + 7*j**2 + 38*j**3 - 43*j**3.
-5*j**2*(j - 1)*(j + 2)
Factor 2*a**3 - 2/3*a**5 - 4/3*a**4 + 0 + 0*a**2 + 0*a.
-2*a**3*(a - 1)*(a + 3)/3
Let n(w) be the second derivative of -w**8/420 + w**7/105 - w**6/90 - w**3/3 + 4*w. Let d(l) be the second derivative of n(l). Suppose d(t) = 0. Calculate t.
0, 1
Let p(a) be the first derivative of -3*a**5/5 + 3*a**4/2 + 85. Factor p(u).
-3*u**3*(u - 2)
Find s such that -2/7*s**5 + 0 - 160/7*s**2 + 6/7*s**4 + 48/7*s**3 + 0*s = 0.
-5, 0, 4
Let f(y) be the third derivative of y**8/84 + 16*y**7/105 + 3*y**6/5 - 9*y**4/2 + y**2 - 188*y. Solve f(o) = 0.
-3, 0, 1
Let a be (1 - 0 - -9) + (4 - 7). Suppose 1 = 2*v - a. Let -4/7*x**2 + 2/7*x**v - 4/7*x**3 + 2/7 + 2/7*x + 2/7*x**5 = 0. What is x?
-1, 1
Let t be (-30)/12 - (-135)/50. Let f(z) be the first derivative of 0*z**3 + 0*z + 0*z**2 + 1/6*z**4 + t*z**5 + 5. Factor f(w).
w**3*(3*w + 2)/3
Let r be (-14)/(-18) + (-136)/(-612). Let j = -3 + 6. Let -2*q - 6 - r + j + 2*q**2 = 0. What is q?
-1, 2
Let y be ((-4)/(-2) - 4) + (-51)/(-24). Let j(o) be the third derivative of 0*o + 5/32*o**4 + 0 - 2*o**2 - y*o**3 + 3/40*o**5. Factor j(x).
3*(x + 1)*(6*x - 1)/4
Let z(w) be the third derivative of -w**7/630 - w**6/10 - 27*w**5/10 - 5*w**4/12 - 2*w**2. Let u(h) be the second derivative of z(h). Factor u(c).
-4*(c + 9)**2
Let c(f) be the second derivative of f**4/42 + 40*f**3/21 - 112*f. Factor c(u).
2*u*(u + 40)/7
Suppose 392 = -22*x + 458. What is l in 5/2*l**x + 7/2*l**2 + l + 0 = 0?
-1, -2/5, 0
Suppose -5*z - 51 + 21 = 0. Let i be 2/z + 104/24. Suppose -2/9*k**i - 2/9*k**3 + 2/9*k + 0 + 2/9*k**2 = 0. What is k?
-1, 0, 1
Suppose -38*p**2 - 528*p**3 - 22*p**4 + 70*p**4 + 327*p**2 + 188*p**2 - 30 + 33*p = 0. Calculate p.
-1/4, 1/4, 1, 10
Let g = -8 + 8. Suppose 0 = 3*z - g*z - 9. Suppose -9 + 3*r**2 - z*r - 3*r - 4*r**2 + 0*r = 0. What is r?
-3
What is d in 0*d - 2/9*d**5 + 0 - 14/3*d**2 + 82/9*d**3 - 38/9*d**4 = 0?
-21, 0, 1
Factor -13*t**3 - 3*t - 25*t**2 + 2*t**2 + t**4 - 18*t**3 + 90 + 30*t**3.
(t - 5)*(t - 2)*(t + 3)**2
Let x(w) be the second derivative of w**5/100 + w**4/12 + 2*w**3/15 + 169*w. Factor x(g).
g*(g + 1)*(g + 4)/5
Let h(b) = b**2 - 2*b + 2. Let g be h(3). Suppose -2*i + g*i - 357 = 0. Find v such that 3*v**4 + 2 - i*v**2 + 113*v**2 + 1 = 0.
-1, 1
Suppose -2*q + 5*n - 2 = -0*q, 4*q = 3*n + 10. Solve -20 + r**5 + r**4 + 20 - r**2 + 3*r**3 - q*r**3 = 0 for r.
-1, 0, 1
Let g(j) be the first derivative of -j**4/34 - 146*j**3/17 - 15987*j**2/17 - 778034*j/17 + 235. Factor g(c).
-2*(c + 73)**3/17
Let o be (-4)/18 - 48/(-216). Let t(r) be the second derivative of 1/10*r**5 + 0*r**2 + 0*r**4 + 1/21*r**7 + 3*r + 0 - 2/15*r**6 + o*r**3. Factor t(d).
2*d**3*(d - 1)**2
Let n be (-3)/9 + 7/(-9)*-3. Determine g, given that 1/6*g**n + 1/3 - 1/2*g = 0.
1, 2
Let l(x) be the second derivative of -x**7/525 + x**6/100 + 5*x**2 + 11*x. Let c(h) be the first derivative of l(h). Factor c(w).
-2*w**3*(w - 3)/5
Let n(f) be the second derivative of -f**6/10 - 9*f**5/20 + 13*f**4/4 + 15*f**3/2 - 46*f - 2. Solve n(s) = 0 for s.
-5, -1, 0, 3
Let s(v) be the third derivative of 0*v**3 - 1/12*v**4 + 0*v - 1/30*v**5 - 19*v**2 + 0. Factor s(f).
-2*f*(f + 1)
Suppose -n - 5*u + 9 = -18, -2*u = 4*n - 18. Factor 46*r**n + 51*r**2 - 9*r**3 + 3*r**4 - 92*r**2 + r**5.
r**2*(r - 1)**2*(r + 5)
Let u(y) be the second derivative of -3*y**5/16 - 13*y**4/48 + 4*y**3/3 - y**2/2 + 26*y. Factor u(w).
-(w - 1)*(w + 2)*(15*w - 2)/4
Let s be ((-2)/((-16)/6))/3. Suppose -66 = 3*m - 84, -t = -4*m + 22. Factor s*r**t - 1 + 3/4*r.
(r - 1)*(r + 4)/4
Let h(t) be the first derivative of t**7/420 - t**6/180 - t**5/12 - t**4/4 + 4*t**3/3 + 14. Let r(n) be the third derivative of h(n). Let r(j) = 0. What is j?
-1, 3
Let q = 619 + -614. Let c(n) be the third derivative of 0 + 1/30*n**q + 0*n + 4*n**2 + 0*n**3 + 1/12*n**4. Factor c(t).
2*t*(t + 1)
Let o(x) = 2*x**3 - 2*x**2 + 8*x + 5. Let d be o(6). Determine w so that -16/3 + 296/3*w**3 - 248/3*w**2 - 128/3*w + d*w**4 + 294*w**5 = 0.
-2/3, -2/7, 1/2
Let o be -4*(-12)/(-9) - (-174)/29. Find b, given that 0 + 14/9*b**2 - 10/9*b**3 - o*b + 2/9*b**4 = 0.
0, 1, 3
Suppose 3767*o - 3774*o = -21. Suppose 23 = 5*h - t - 3, -4 = 4*t. Factor -7*j**4 - j**4 + 4*j**o + 14*j**h - 10*j**5.
4*j**3*(j - 1)**2
Let j(a) be the first derivative of a**6/45 - a**4/6 + 2*a**3/9 - 11*a + 10. Let y(q) be the first derivative of j(q). Factor y(c).
2*c*(c - 1)**2*(c + 2)/3
Suppose -5 - 3 = -4*z. Let n be -1*(-5 + 1)/z. What is q in -32*q**3 + 19*q + 45*q**n + 4 + 9*q + 4*q**3 - 49*q**4 + 0 = 0?
-1, -2/7, 1
Let l(a) be the first derivative of a**9/1512 + a**8/420 + a**7/420 - 4*a**3/3 + 8. Let g(t) be the third derivative of l(t). Determine n so that g(n) = 0.
-1, 0
Let h be (7 - 32/8) + 1. Let j(m) be the second derivative of -1/2*m**4 - m**2 + m**3 + 0 + 1/10*m**5 + h*m. Factor j(n).
2*(n - 1)**3
Suppose -2*s + 0*k = -3*k - 49, -4*s - k + 77 = 0. Suppose -5*h = -s, 4*i = h + 11 - 3. Let m**3 + 1 + 0*m + 0*m**i - 2*m**3 - m**2 + m = 0. Calculate m.
-1, 1
Let x be ((-91)/(-3) + -5)*6/72. Find p such that -x*p - 2/3 - 8/9*p**2 + 5/9*p**3 = 0.
-1, -2/5, 3
Let l = -1007 - -15107/15. Factor 2/15*j - l*j**2 + 0.
-2*j*(j - 1)/15
Let o(p) be the second derivative of -p**5/20 - p**4/8 + 5*p**2/2 + 5*p. Let n(x) be the first derivative of o(x). Factor n(h).
-3*h*(h + 1)
Let c(d) be the first derivative of -2*d**5/5 + 6*d**3 - 4*d**2 - 24*d - 427. Factor c(p).
-2*(p - 2)**2*(p + 1)*(p + 3)
Suppose 513*q = 535*q. Suppose -4/11 - 6/11*g + q*g**2 + 2/11*g**3 = 0. What is g?
-1, 2
Suppose -5*l + 0*l + 5 = -j, 2*j - 5 = 5*l. Let 5*p**4 + 27*p**5 + 25*p - 12*p**5 + 10*p**2 - j*p**5 - 30*p**3 - 15 = 0. What is p?
-3, -1, 1
Suppose 0 = 10*r - 15*r + 30. Factor -100*y - r*y**3 - 113*y**2 - 55*y**2 - 16 - 30*y**3.
-4*(y + 4)*(3*y + 1)**2
Let r(z) = z - 1. Let l be r(3). Suppose g - l*g - 10 = -2*b, -4*b - 5*g = -6. Factor j**3 - 3*j + j**4 + 11*j**b + 3*j**3 - 12*j**2 - j**3.
3*j*(j - 1)*(j + 1)*(4*j + 1)
Let z be (39/52)/((-18)/(-16)). Let c be (-12)/30 + ((-16)/10 - -2). Factor c*t + z - 2/3*t**2.
-2*(t - 1)*(t + 1)/3
Let h(m) be the first derivative of 3 - 4/9*m + 1/18*m**4 + 5/9*m**2 - 8/27*m**3. Suppose h(g) = 0. What is g?
1, 2
Suppose 5*u - 8 = u. Let y = -3211 - -3211. Suppose 1/3*r + y + 2/3*r**u + 1/3*r**3 = 0. Calculate r.
-1, 0
Let h(i) be the third derivative of 2*i**2 + 0 + 0*i + 5/24*i**4 + 0*i**3 - 1/12*i**5. Factor h(v).
-5*v*(v - 1)
Let s be 2/(-90) + (-134)/(-1005). Let k(r) be the second derivative of 0 - s*r**3 + 0*r**5 + 1/63*r**7 + 2/45*r**6 - 4*r + 0*r**2 - 1/9*r**4. Factor k(o).
2*o*(o - 1)*(o + 1)**3/3
Let j = 13 - 13. Let a be 2 - (1 - j) - -6. Factor -d**4 + 0*d + 2*d + 4*d**3 - a*d**2 + 2*d**2.
-d*(d - 2)*(d - 1)**2
Let t(n) be the third derivative of -n**5/12 - 5*n**4/12 + 40*n**3 + n**2 - 241. Factor t(g).
-5*(g - 6)*(g + 8)
Let r(k) = -2*k - 4. Let j(x) = 2*x + 1. Let b be j(-4). Let m be r(b). What is y in 7*y**2 + 3 + y**2 - 4*y**2 + 1 + m*y = 0?
-2, -1/2
Let m(q) = -q**4 - q**3 + 2*q**2 + q. Let o(r) = -2*r**5 + 76*r**4 - 608*r**3 - 5760*r**2 - 13048*r - 9216. Let t(v) = -8*m(v) + o(v). Factor t(k).
-2*(k - 24)**2*(k + 2)**3
Let a(c) be the first derivative of -c**5 - 35/2*c**2 - 14 - 25/4*c**4 - 15*c**3 - 10*c. Factor a(k).
-5*(k + 1)**3*(k + 2)
Suppose 0 = -7*m + 5 + 23. Determine w, given that 12*w + w + 3*w**3 + 0*w - m*w - 12*w**2 = 0.
0, 1, 3
Let 2/5*g + 4/5 - 2/5*g**2 = 0. Calculate g.
-1, 2
Let z(g) = g**2 - 5*