Factor -3 + 2*h - r*h**2.
-(h - 3)**2/3
Determine q, given that 0*q + 16/5*q**5 + 4/5*q**4 + 0*q**2 + 0*q**3 + 0 = 0.
-1/4, 0
Determine m so that 24*m**2 + 15*m + 25*m + 20*m + 8 - 106*m**3 + 78*m**3 = 0.
-1, -1/7, 2
Let s be 17/(374/(-4)) + 68/11. Let t be 0/(-2*9/s). Factor -y**2 + 1/2*y**4 - 1/4*y**5 + 3/4*y**3 - y + t.
-y*(y - 2)**2*(y + 1)**2/4
Suppose -l - 4*l + 15 = 0. Let i be -4 - -3 - l*-1. Factor -i*f**2 + 0*f**4 + 4*f**2 - 6*f**4 - 4*f**3.
-2*f**2*(f + 1)*(3*f - 1)
Let c = -218 + 1964/9. Let j(t) be the first derivative of 2/27*t**3 + 1/18*t**4 - 9 - c*t - 1/9*t**2. Factor j(l).
2*(l - 1)*(l + 1)**2/9
Let z(i) = i**3 + i**2 + i + 1. Let b(f) = f**4 + 4*f**3 + 5*f**2 + 8*f + 6. Let m = 18 + -12. Suppose 0 = x + m - 0. Let t(q) = x*z(q) + b(q). Factor t(r).
r*(r - 2)*(r - 1)*(r + 1)
Let j(n) = -n**4 - 17*n**3 + n**2 + 12*n - 5. Let y(s) = -4*s**4 - 84*s**3 + 4*s**2 + 60*s - 24. Let g(r) = -24*j(r) + 5*y(r). Factor g(h).
4*h*(h - 3)*(h - 1)*(h + 1)
Let w(g) = 2*g**2 - 79*g - 36. Let t be w(40). Find p, given that 21/4*p**3 + 15/4*p**t + 9/4*p**2 + 3/4*p**5 + 0 + 0*p = 0.
-3, -1, 0
Let l(i) = i**2 + i - 4. Let m be l(-3). Determine n so that 24 - 2*n**2 + 5*n**3 - 8*n**3 - 4*n**m + 12*n = 0.
-2, 2
Suppose 3*y - 4 = 5. Factor x**y + 31*x**2 + 21*x**2 - 54*x**2.
x**2*(x - 2)
Let z(c) = c - 1. Let h be z(-2). Let i = 1 - h. Suppose 2*s**3 - 3*s**4 + 6*s**4 - s**4 - s**2 - 3*s**i = 0. Calculate s.
0, 1
Let s(v) be the first derivative of v**6/9 - 34*v**5/9 + 308*v**4/9 - 392*v**3/27 + 13. Let s(n) = 0. What is n?
0, 1/3, 14
Let j be (-10)/(8/12 + (-16)/6). Find q, given that j*q**5 - 44*q + 44*q - 5*q**4 = 0.
0, 1
Let l(w) be the first derivative of -w**6/40 + 7*w**5/120 - w**4/18 + w**3/36 + w**2/2 + 32. Let m(g) be the second derivative of l(g). Let m(c) = 0. What is c?
1/3, 1/2
Let f(w) = w**3 + w**2 + 2*w + 27. Let h be f(-3). Factor 97/2*x**h + 9*x**4 + 72*x**2 + 0 + 1/2*x**5 + 32*x.
x*(x + 1)**2*(x + 8)**2/2
Suppose 29*f = 25*f - 337*f. Factor 0*v - 10/13*v**2 - 12/13*v**3 + f - 2/13*v**4.
-2*v**2*(v + 1)*(v + 5)/13
Let i(p) = 10*p**2 + 140*p + 490. Let c(o) = 5*o**2 + 70*o + 245. Let l(z) = 5*c(z) - 2*i(z). Factor l(d).
5*(d + 7)**2
Let k(w) = -2*w + 20. Let h be k(6). Let 20*c - 2*c**5 - h*c**5 + 5 + 160*c**3 + 20*c**2 - 25*c**4 - 170*c**3 = 0. What is c?
-1, -1/2, 1
Factor -584/5*c + 2/5 - 3112136/5*c**3 + 56796482/5*c**4 + 63948/5*c**2.
2*(73*c - 1)**4/5
Let j be -23 + 23 + 1/((-70)/(-21) + -3). Factor -4*n**j + 0 + 25*n - 5/2*n**2 - 1/2*n**4.
-n*(n - 2)*(n + 5)**2/2
Suppose -f = -1 - 10. Let t = 13 - f. Factor 0*a**2 - 8*a**2 + 0*a**t - 7 - 26*a + 1.
-2*(a + 3)*(4*a + 1)
Let h = 33 + -35. Let g be (-8)/30*-9 + h. Factor 0*c + g*c**2 - 2/5.
2*(c - 1)*(c + 1)/5
Find a such that -12/5*a**2 + 3/5*a**3 + 0 + 0*a = 0.
0, 4
Suppose 3*i - 7*i - 12 = 5*r, -i + 2*r = -10. Let -9*d**i - 10*d + 3*d - 3*d**3 + d + 0*d**3 = 0. What is d?
-2, -1, 0
Suppose -1 = 2*t - 11. Let o be 4/((t + -3)/1). Determine n, given that -17*n**o - 128 - 8*n**2 + 2*n**3 + 0*n**3 + 96*n + n**2 = 0.
4
Let m = 51 + -46. Let q(c) = -c**2 + 2*c + 2. Let g(d) = d**2 - d - 1. Let y(x) = m*q(x) + 10*g(x). Determine v, given that y(v) = 0.
0
Find s such that 0 + 88/5*s - 217/5*s**3 - 134/5*s**2 + s**4 = 0.
-1, 0, 2/5, 44
Suppose -3*f + 20 = 5*q, -19 = 2*q - q - 4*f. Factor 16*a**2 + q + 2 + 1 - 20*a**2.
-4*(a - 1)*(a + 1)
Factor 0 - 1/4*r**3 + 5/4*r**2 + 3/2*r.
-r*(r - 6)*(r + 1)/4
Suppose -19 = -z + 2*b, -2*b + 126 = 3*z + z. Let l = z + -85/3. Factor 0 - 2/9*t + 2/3*t**2 - l*t**3 + 2/9*t**4.
2*t*(t - 1)**3/9
Let m(f) = 5*f**3 + 87*f**2 - 282*f + 192. Let c(z) = 2*z**3. Let x(u) = -c(u) + m(u). Factor x(i).
3*(i - 2)*(i - 1)*(i + 32)
Let p(a) be the first derivative of -4/7*a**3 - 9 + 0*a + 9/14*a**2 + 3/28*a**4. Factor p(q).
3*q*(q - 3)*(q - 1)/7
Let d(i) = 27*i**3 + 36*i**2 + 51*i - 3. Let v = 43 + -47. Let y(m) = 7*m**3 + 9*m**2 + 13*m - 1. Let j(b) = v*d(b) + 15*y(b). Find o, given that j(o) = 0.
-1
Let h(s) be the third derivative of -12*s**2 + 1/1344*s**8 + 1/60*s**5 + 0*s**3 + 1/24*s**4 - 1/420*s**7 + 0 - 1/160*s**6 + 0*s. Let h(z) = 0. Calculate z.
-1, 0, 2
Let w(k) = k - 9. Let f be w(7). Let v be ((f/3)/(4/6))/(-2). Factor -v - 3*j**2 + 7/2*j.
-(j - 1)*(6*j - 1)/2
Let b(h) be the second derivative of h**7/189 - h**5/30 + h**4/27 - 173*h. Solve b(r) = 0.
-2, 0, 1
Let l = 1497/2 + -735. Find b, given that 3/2*b**3 + l*b**2 + 81/2 + 81/2*b = 0.
-3
Let d(a) = 6*a**4 - 20*a**2 - 5*a + 19. Let t(k) = -3*k**4 + 9*k**2 + 3*k - 9. Let q(p) = -3*d(p) - 5*t(p). Solve q(l) = 0 for l.
-2, -1, 1, 2
Let s(t) = -3*t**3 + 9*t**2 + 2*t - 8. Let a(g) = g**3 - 3*g**2 - g + 3. Let z = 32 + -29. Let d(m) = z*s(m) + 8*a(m). Factor d(h).
-h*(h - 2)*(h - 1)
Let x(y) be the second derivative of 0*y**5 + 1/120*y**6 + 0 + 0*y**3 + 3*y - 1/48*y**4 + 0*y**2. Factor x(h).
h**2*(h - 1)*(h + 1)/4
Let b(k) = 6*k**2 + 2*k + 10. Let y(v) = 12*v - 15*v - 2*v**2 - 10 - 2*v**2 - v**2. Let c(o) = 4*b(o) + 5*y(o). Solve c(j) = 0.
-5, -2
Let b(d) be the second derivative of -d**5/100 + 4*d**4/15 - 17*d**3/6 + 15*d**2 + d - 137. Factor b(p).
-(p - 6)*(p - 5)**2/5
Let t be (1/24)/(3/(-24)*-14). Let m(y) be the second derivative of 0*y**2 + 0 + 1/42*y**3 - t*y**4 + 1/140*y**5 - 6*y. Factor m(n).
n*(n - 1)**2/7
Solve -32*j - 12 + j**5 - 19*j**4 - 26*j**4 + 59*j**4 - 11*j**4 - 27*j**2 - 5*j**3 = 0 for j.
-2, -1, 3
Suppose 3*o - 85 = -2*o - 3*r, 0 = -r. Factor -8 + 11*a + 5*a + o*a**2 - 14*a**3 + 4*a**4 - 11*a**2.
2*(a - 2)**2*(a + 1)*(2*a - 1)
Factor 4/3*g**5 - 128/3 + 8*g**4 - 64*g - 64/3*g**2 + 32/3*g**3.
4*(g - 2)*(g + 2)**4/3
Suppose -19 + 62*l + 2*l**2 + 46 + 20 + 22 - 9 = 0. Calculate l.
-30, -1
Let n(t) = t**3 + 5*t**2 - 7*t + 3. Let l be n(-6). Let k be (-296)/(-6) + (-3)/l. Find i, given that -27*i**2 + 2*i - 23*i**2 + k*i**2 = 0.
0, 2
Let h(j) be the third derivative of 1/273*j**7 + 0 + 0*j + 0*j**4 - 1/195*j**5 + 17*j**2 - 1/260*j**6 + 0*j**3. Determine y, given that h(y) = 0.
-2/5, 0, 1
Let n(l) be the first derivative of 2*l - 1/28*l**4 + 3/7*l**2 - 2 + 1/14*l**3. Let r(s) be the first derivative of n(s). Factor r(i).
-3*(i - 2)*(i + 1)/7
Let -60*z**3 - 59*z + 0*z**3 + 16*z**4 - 32 - 100*z - 264*z**2 - 32*z**3 - 29*z = 0. What is z?
-1, -1/4, 8
Let k(x) be the second derivative of -5*x**7/42 - 2*x**6/3 - 5*x**5/4 - 5*x**4/6 + 116*x. Factor k(r).
-5*r**2*(r + 1)**2*(r + 2)
Let o be (175/15)/(-7)*-3. Factor -10*s**2 + 0*s - 18*s**3 + 0*s + 23*s**3 + o*s.
5*s*(s - 1)**2
Let l(k) be the second derivative of k**4/3 - 2*k**3 - 2*k + 77. Let l(b) = 0. Calculate b.
0, 3
Let l(a) = 3*a + 2. Let h be l(-4). Let k = -8 - h. Find v, given that -k - 8*v - 2*v**4 - 8*v**3 - 16*v**2 + 4*v**2 + 0*v**2 = 0.
-1
Let a(h) be the first derivative of 12*h + 1/2*h**6 - 3/4*h**4 - 5 + 0*h**2 - 7*h**3 + 9/5*h**5. Let a(v) = 0. Calculate v.
-2, -1, 1
Let o(x) be the third derivative of -x**6/200 + x**5/25 - x**4/10 + 5*x**3/2 + 18*x**2. Let a(m) be the first derivative of o(m). Factor a(g).
-3*(g - 2)*(3*g - 2)/5
Let s(t) be the second derivative of -49*t**6/15 + 203*t**5/10 - 47*t**4 + 160*t**3/3 - 32*t**2 - 111*t. Find g such that s(g) = 0.
4/7, 1, 2
Let w(s) be the second derivative of 0*s**5 + 0 - 1/15*s**6 + 10*s + 0*s**3 + 1/6*s**4 + 0*s**2. Factor w(r).
-2*r**2*(r - 1)*(r + 1)
Factor 79*m + m**3 + 2*m**3 + 76*m - 149*m + 9*m**2.
3*m*(m + 1)*(m + 2)
Let m be 4/26 + 48/26. Determine r so that 4*r**m + 0*r - 5*r**2 + r = 0.
0, 1
Suppose 0 = 5*d, 3*c - d + 1 - 7 = 0. Determine o, given that -16*o + 43*o**c - 4*o + 17*o**2 - 25*o**3 = 0.
0, 2/5, 2
Let u be 184/(-32) + 6 - 10*5/(-40). Find k such that u - 3/4*k**2 - 3/4*k = 0.
-2, 1
Determine f so that -29*f**3 + 36 - 24*f**2 + 3*f**2 + 32*f**3 + 12*f = 0.
-1, 2, 6
Suppose -91*d - 3*x + 8 = -89*d, d - 3*x = 4. Factor 4/13*k + 0*k**3 + 0 + 2/13*k**d - 6/13*k**2.
2*k*(k - 1)**2*(k + 2)/13
Suppose 4*u = 2*y - 8, 5*u = 5*y - 5 - 15. Factor q**y + 3*q**3 + 2*q**2 - 4 + 0*q**4 + 4.
q**2*(q + 1)*(q + 2)
Let c(z) be the third derivative of 10*z**4 - 16/3*z**3 + 0 - 28*z**2 + 0*z + 25/6*z**6 - 10*z**5. Solve c(u) = 0 for u.
2/5
Let s be (-1)/(-2)*0*1. Let w(n) = -n**3 + n**2 + n - 1. Let z be w(1). Find c, given that z*c**3 + 9*c + 6*c**2 - 3*c**3 + s*c**3 = 0.
-1, 0, 3
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