)/(2 + -2 + 12/40). Factor -2/11*q**3 + p - 16/11*q + a*q**2.
-2*(q - 2)**2*(q - 1)/11
Determine y, given that -11/3*y + 1/3*y**2 + y**3 + 7/3 = 0.
-7/3, 1
Let o(a) be the second derivative of -1/15*a**6 + 13*a + 0*a**2 - 1/2*a**3 + 1/5*a**5 + 0 - 1/42*a**7 + 1/6*a**4. Let o(m) = 0. What is m?
-3, -1, 0, 1
Suppose -14 = -5*g + 1. Suppose -43*h = -46*h + 6. Find m, given that 2/5*m**h - 2/5*m**g + 0 + 0*m = 0.
0, 1
Suppose -5*a = 3*a - 2032. Factor 6*v**2 + 48*v - 2*v**2 - 110 + a.
4*(v + 6)**2
Suppose 10 = 5*h, -3*y - h - 3*h = -14. Factor 2*r + 16*r + 5*r**3 + 16 - 6 + 7*r + 20*r**y.
5*(r + 1)**2*(r + 2)
Determine m, given that -4*m**3 + 1 - 475*m**2 + 231*m**2 - 1 = 0.
-61, 0
Let l = -6303 - -6310. Find o, given that 2*o**5 - 8*o - l*o**2 + 17/2*o**4 - 3/2 + 6*o**3 = 0.
-3, -1, -1/4, 1
Let w be (-3)/28*744/(-279). Factor 1536/7*s - 96/7*s**2 + w*s**3 - 8192/7.
2*(s - 16)**3/7
Let l(m) be the third derivative of -m**6/30 + 2*m**5/15 + 7*m**4/2 + 12*m**3 + 41*m**2 - 3*m. Solve l(a) = 0 for a.
-3, -1, 6
Let p(a) be the first derivative of -a**4/28 + a**3 + 45*a**2/14 + 23*a/7 - 6. Factor p(m).
-(m - 23)*(m + 1)**2/7
Let s(w) be the third derivative of -w**8/1680 + w**7/840 + 4*w**3/3 - 2*w**2. Let q(u) be the first derivative of s(u). Suppose q(x) = 0. Calculate x.
0, 1
Factor -344*k + 4*k**3 + 1158*k - 8*k**3 - 250*k**2 - k**3 + 246*k - 1080.
-5*(k - 2)**2*(k + 54)
Let z(h) be the first derivative of h**6/72 - h**5/24 + 2*h**3 - 12. Let f(n) be the third derivative of z(n). Suppose f(g) = 0. What is g?
0, 1
Let c = 22 + -28. Let t(a) = -a**5 + 7*a**4 - 6*a**3 + 6*a + 6. Let i(r) = -r**5 + 6*r**4 - 5*r**3 + 5*r + 5. Let d(y) = c*i(y) + 5*t(y). What is w in d(w) = 0?
0, 1
Let w(d) = -14*d + 2. Let t be w(-1). Let i be 1*-2 + t/2. Find m such that 4*m**4 - 2*m**4 - m**5 - 8*m**2 + m**3 + i*m**2 = 0.
-1, 0, 1, 2
Suppose 4*i = 6*i - 6. Suppose -6 = -3*x, 4*q - i*x = -0*q + 394. Find l, given that -5*l**4 + q*l**5 + 7 - 10*l**4 - 5*l**4 - 164*l**3 + 64*l + 4*l**2 + 9 = 0.
-1, -2/5, 1
Solve -4/9*q**3 - 2/3 - 28/9*q + 2/3*q**4 - 32/9*q**2 = 0.
-1, -1/3, 3
Let y = -3 + 4. Let o = y + 1. Solve -3*q**2 - 16 - q**2 + 25*q - q**o - 4 = 0 for q.
1, 4
Let l be (9/(-2))/((-1)/2). Let w = -24 + 26. Factor p**2 + l*p - 2*p**w + 4*p**2 + 6 + 0*p**2.
3*(p + 1)*(p + 2)
Let b be (-56)/16 + 316/72. Solve 8/9 - 2/9*y**3 - 2/9*y**2 + b*y = 0.
-2, -1, 2
Let y be (32/24)/(1/12). Suppose y = 3*d + 4. Factor d*q + 3*q**2 - 3 - 2 - 4 + 2*q.
3*(q - 1)*(q + 3)
Let g(h) be the first derivative of 1/780*h**6 + 0*h - 3 - 1/78*h**4 - 4*h**2 + 1/390*h**5 + 0*h**3. Let p(b) be the second derivative of g(b). Factor p(k).
2*k*(k - 1)*(k + 2)/13
Let t(q) be the second derivative of -q**6/45 + q**4/6 + 2*q**3/9 - 32*q + 2. Find d such that t(d) = 0.
-1, 0, 2
Let u be 2*(-6)/114 + 122/798. Let n(w) be the second derivative of -1/7*w**2 + 0 + 3*w + u*w**4 + 1/21*w**3. Factor n(s).
2*(s + 1)*(2*s - 1)/7
Let y(n) be the first derivative of -n**4 - 36*n**3 - 102*n**2 - 100*n - 214. Determine t, given that y(t) = 0.
-25, -1
Let v be 2/8 + 108/(-48). Let w be v/10 - 336/(-80). Suppose -7*f + 85*f**2 - 86*f**2 + w*f - 2 = 0. What is f?
-2, -1
Let s(b) = 21*b**3 + 40*b**2 + 8*b + 1. Let c(y) = -3*y + 1. Let l(r) = 15*c(r) - 5*s(r). Factor l(h).
-5*(h + 1)**2*(21*h - 2)
Suppose -88*j - 81*j**2 + 0*j**3 + 154*j**2 + 0*j**3 - 53*j**2 + 4*j**3 + 64 = 0. Calculate j.
-8, 1, 2
What is s in -2/11*s**5 + 10/11*s**4 + 14/11*s**2 - 18/11*s**3 + 0 - 4/11*s = 0?
0, 1, 2
Determine h so that -16/3*h**2 + 4/3*h**4 - 8/3*h**3 + 8/3*h + 4 = 0.
-1, 1, 3
Let j(h) be the third derivative of -1/72*h**4 - 9*h**2 - 1/180*h**5 + 0*h + 0 + 0*h**3. Factor j(g).
-g*(g + 1)/3
Let x be -1 - 16/(-6) - 17/(-51). Find u such that u**5 + 4*u**3 - 5*u**3 - x*u**4 + u**4 - u**3 = 0.
-1, 0, 2
Factor i**2 + 6/7*i + 1/7*i**3 + 0.
i*(i + 1)*(i + 6)/7
Let d(b) = 5*b**2 + 31*b + 9. Let x = 21 - 19. Let w(p) = -p + 0 + 2 + 3*p**2 - x*p**2 + 7*p. Let c(g) = 6*d(g) - 33*w(g). Suppose c(m) = 0. Calculate m.
-2
Let l(h) be the second derivative of 0*h**2 + 18*h + 4/3*h**3 + 9/10*h**6 + 3*h**4 + 27/10*h**5 + 0. Suppose l(t) = 0. What is t?
-2/3, 0
Let b(p) = -7*p**3 - 74*p**2 + 165*p - 92. Let l(x) = 15*x**3 + 147*x**2 - 330*x + 186. Let h(c) = 9*b(c) + 4*l(c). Find a such that h(a) = 0.
-28, 1
Factor 2*p**4 - 36*p**3 + 17*p**4 + 2*p**5 - 3*p**5 - 7*p**4.
-p**3*(p - 6)**2
Let y(i) be the first derivative of -i**6/90 - 2*i**5/45 - i**4/18 - 6*i**2 - 12. Let m(l) be the second derivative of y(l). Factor m(h).
-4*h*(h + 1)**2/3
Factor -18/11*c + 2/11 - 140/11*c**2.
-2*(5*c + 1)*(14*c - 1)/11
Let c be 12 - ((-1)/(-3) + 1/(-3)). Let b be (16/6)/2 + c/18. Factor 2/7*o**b - 1/7 + 1/7*o - 1/7*o**4 + 1/7*o**5 - 2/7*o**3.
(o - 1)**3*(o + 1)**2/7
Factor 6075*r + 1/4*r**3 - 135/2*r**2 - 182250.
(r - 90)**3/4
Let a be ((-12)/(-15) - (-256)/(-20))/(-2). Let s(u) be the second derivative of -1/3*u**4 + a*u + 0*u**2 + 0 + 0*u**3 - 1/2*u**5. Find d such that s(d) = 0.
-2/5, 0
Suppose 5*y + 32 + 3 = 5*n, 2*y + 10 = 0. Let j(u) be the first derivative of 9/2*u**n + 6*u + u**3 - 3. Factor j(w).
3*(w + 1)*(w + 2)
Suppose 0 = 5*v - 5, -2*a = 3*v - 9. Find f, given that 4*f - 6*f**2 - 2*f - 5*f - a*f**3 = 0.
-1, 0
Let g = -19 - -22. Let v(n) be the first derivative of 30*n**2 + g - 4*n + 4*n - 29*n**2 - n**3. Determine u so that v(u) = 0.
0, 2/3
Suppose 0 = 2*l + 5*f + 12, -2*l = -12*f + 14*f + 12. Let v be 3/l*8/(-7). Factor -4/7 + 4/7*i**2 - 4/7*i**3 + v*i.
-4*(i - 1)**2*(i + 1)/7
Let g be (-160)/16*1/(-55). Factor 0*t - g*t**4 - 2/11*t**2 + 0 + 4/11*t**3.
-2*t**2*(t - 1)**2/11
Let h(z) be the second derivative of 3*z**5/140 + 75*z**4/14 + 119*z. Factor h(x).
3*x**2*(x + 150)/7
Let w be 78/3*(-2)/(-4). Suppose 86 = 3*d - w. What is h in d*h**2 - 4 + 2*h + 0*h**2 + 9*h**2 = 0?
-1/3, 2/7
Solve -11*s - 1/4*s**4 - 5 - 33/4*s**2 - 5/2*s**3 = 0 for s.
-5, -2, -1
Factor 1/5*f**3 + 0*f + 0 + 6/5*f**2.
f**2*(f + 6)/5
Let i(a) be the second derivative of a**6/180 - 7*a**3/3 + 3*a. Let y(f) be the second derivative of i(f). Factor y(d).
2*d**2
Let v(i) be the first derivative of -6250*i**5/9 - 625*i**4 - 200*i**3 - 24*i**2 - 317. Suppose v(j) = 0. Calculate j.
-6/25, 0
Suppose -3*r - 12*q + 14*q = 0, 4*r - 3*q = 0. Let s(m) be the third derivative of 1/72*m**4 + 0 - 1/180*m**5 + 1/9*m**3 + r*m - 3*m**2. Factor s(g).
-(g - 2)*(g + 1)/3
Suppose v - 3*m - 81 = -3*v, 3*m - 9 = -v. Suppose 4*d = 3*o, v - 1 = 5*o - d. Factor -4*i**3 + 3*i**o + 0*i**4 + 3*i**5 - 3*i**2 + i**3.
3*i**2*(i - 1)*(i + 1)**2
Suppose 3*h - 23 = h + 3*x, -3*x - 9 = 0. Factor 6*f**2 - 3*f**3 - h*f**4 + 9*f**5 + f**4 - 6*f**5.
3*f**2*(f - 2)*(f - 1)*(f + 1)
Let d = -21 - -23. Suppose -5*h + b = -54, -3*h = -2*h - d*b - 9. Factor -5 - k + k**2 + 2*k**2 + h - 8*k.
3*(k - 2)*(k - 1)
Let o(c) be the first derivative of c**4 + 36*c**3 + 486*c**2 + 2916*c + 81. Determine k, given that o(k) = 0.
-9
Let g(w) = -15*w + 812. Let l be g(54). Let n(a) be the first derivative of 28/5*a**5 + 0*a - 7 + a**l + 5*a**3 + 9*a**4. Find y such that n(y) = 0.
-1/2, -2/7, 0
Suppose 2*h + c = -0*h + 7, 4*c = h + 28. Suppose -5*i**2 + h + 15/2*i + 5/6*i**3 = 0. Calculate i.
0, 3
Suppose -176 = -2*n - 0*n. Let x = 175 - n. Suppose -36*d**4 + 2*d**2 + 26*d**4 - 26*d**2 - 26*d**4 + 12*d - x*d**3 = 0. Calculate d.
-2, -2/3, 0, 1/4
Solve g - 7*g + 18453 - 3*g**2 - 18444 = 0.
-3, 1
Let m(i) = 11*i**2 - 6*i - 119. Let d(b) = 10*b**2 - 5*b - 120. Let l(c) = 6*d(c) - 5*m(c). Factor l(s).
5*(s - 5)*(s + 5)
Let y(u) be the first derivative of -u**6/30 + u**4/6 + u**2/2 + 3*u + 3. Let m(b) be the second derivative of y(b). Factor m(s).
-4*s*(s - 1)*(s + 1)
Factor -2/9*t**2 - 14/9*t + 20/3.
-2*(t - 3)*(t + 10)/9
Suppose 0 = 3*l + r - 183, 0 = l + 2*l - r - 189. Suppose 2*h + 54 = l. Factor 0*k - 4/3*k**3 + 0*k**2 + 0 - 3*k**5 - 4*k**h.
-k**3*(3*k + 2)**2/3
Factor 20/3 + 24*b**2 - 32/3*b**3 + 4/3*b**4 - 64/3*b.
4*(b - 5)*(b - 1)**3/3
Let u(n) = -262*n**2 - 10*n. Let r be u(-1). Let p = -250 - r. Determine b so that 0 - 3/7*b**p + 3/7*b = 0.
0, 1
Let s be 1912/(-18) - (3 + -5 - -3). Let r = -107 - s. Factor -r*t**2 - 4/9*t - 2/9.
-2*(t + 1)**2/9
Factor 1/5*x**3 - 4/5*x + 1/5*x**2 - 4/5.
(x - 2)*(x + 1)*(x + 2)/5
Let a(h) = 2*h**2 - 2*h. L