
Find l such that 1189*l**3 + 1846*l**3 - 838*l**3 - 2754*l**2 + 1233*l**2 - 27 + 351*l = 0.
3/13
Let l(r) = -7*r**2 - 4*r + 9. Let p be 1/(-1) - (-3 - -1). Let d = p + -10. Let z(c) = -3*c**2 - 2*c + 4. Let u(t) = d*z(t) + 4*l(t). Find y such that u(y) = 0.
0, 2
Let i(d) = 5*d**4 - 30*d**2 - 38*d - 17. Let j(n) = 25*n**4 - 150*n**2 - 189*n - 86. Let o(g) = -11*i(g) + 2*j(g). Factor o(r).
-5*(r - 3)*(r + 1)**3
Let k(x) be the third derivative of -x**7/70 - x**6/120 + x**5/20 + x**4/24 - 6*x**2. Factor k(y).
-y*(y - 1)*(y + 1)*(3*y + 1)
Let o(c) be the second derivative of 0*c**2 + c + 0 + 0*c**3 + 1/4*c**4 - 1/14*c**7 - 9/20*c**5 + 3/10*c**6. Find j such that o(j) = 0.
0, 1
Factor -8 - 8*d + 7/4*d**3 + 3/2*d**2 + 1/4*d**4.
(d - 2)*(d + 1)*(d + 4)**2/4
Let p(s) be the first derivative of 0*s**2 - 1/12*s**6 - 3 + 0*s - 1/10*s**5 + 1/8*s**4 + 1/6*s**3. Determine i so that p(i) = 0.
-1, 0, 1
Suppose 0 = 2*y + 1254 - 1262. Solve 0*r - 2/7*r**2 - 2/7*r**y + 0 - 4/7*r**3 = 0 for r.
-1, 0
Suppose -9/4*p**5 + 0 - 33/4*p**4 + 0*p + 57/4*p**3 - 15/4*p**2 = 0. Calculate p.
-5, 0, 1/3, 1
Let j be (2 - 2)/((2 - 0) + -3). Let w(o) be the third derivative of 0*o + 1/90*o**5 + 0 + 1/360*o**6 - 3*o**2 + j*o**3 + 1/72*o**4. Solve w(r) = 0.
-1, 0
Suppose 2*g**3 + 4*g + 36*g**2 + 140*g + 192 + g**3 + 0*g**3 = 0. What is g?
-4
Let u(y) be the second derivative of -y**4/28 - y**3/7 + 9*y**2/14 + 5*y. Factor u(j).
-3*(j - 1)*(j + 3)/7
Suppose 13*w - 19*w = -24. Factor -3/2*o**w + 0 + 0*o**2 + 3/2*o**3 + 0*o.
-3*o**3*(o - 1)/2
Let p = -4 - -7. Suppose -s = -p*s. Factor 2/3 - 2/3*q**2 + s*q.
-2*(q - 1)*(q + 1)/3
Let y be (-2)/(-3) - 130/(-30). Let g(j) be the second derivative of 1/3*j**4 - j**2 - 1/3*j**3 + 1/5*j**y - j - 1/21*j**7 - 1/15*j**6 + 0. Factor g(h).
-2*(h - 1)**2*(h + 1)**3
Suppose -4*k + 12 + 24 = 0. What is a in -3*a**2 + 4*a**3 - 2*a**3 - 3*a - 5*a**3 + k*a = 0?
-2, 0, 1
Factor 0 + 2*k**2 - 5 + 0 - 1 + 4*k.
2*(k - 1)*(k + 3)
Let m(n) be the second derivative of -n**7/336 + n**6/120 - n**4/48 + n**3/48 - 7*n. Let m(r) = 0. Calculate r.
-1, 0, 1
Determine y, given that -4/7*y + 2/7 + 2/7*y**2 = 0.
1
Let i(q) = q**3 + 6*q**2 - 7*q - 7. Let u be i(-6). Suppose 15 = -4*y + u. Factor 4/5*m**2 + 0*m + 0 + 0*m**4 - 2/5*m**y + 6/5*m**3.
-2*m**2*(m - 2)*(m + 1)**2/5
Let r be 4/(-18) - (-6)/27. Suppose 2*v - 5 - 3 = r. Factor 2*c**5 + 4*c**3 + 0 + 4*c**2 - 6*c**v - c + 2 - 5*c.
2*(c - 1)**4*(c + 1)
Let y(d) be the second derivative of 0 + 8/3*d**2 + 20/9*d**3 + 7/30*d**5 + d**4 + 1/45*d**6 + 3*d. Determine n, given that y(n) = 0.
-2, -1
Let x(r) be the third derivative of -r**5/60 - r**4/24 + r**3/6 - 10*r**2. Let f(n) = -4*n + 0*n**2 + 2*n**2 - 1 - 11. Let s(o) = -f(o) - 4*x(o). Factor s(c).
2*(c + 2)**2
Let v = 6/29 - -40/87. Suppose 2/9 - 10/9*m**2 - 2/3*m**3 + 8/9*m**4 + v*m = 0. Calculate m.
-1, -1/4, 1
Let l(j) = j**2 - 16*j - 17. Let v be l(14). Let g = v + 317/7. Factor -12/7*i + g*i**2 + 18/7.
2*(i - 3)**2/7
Suppose 0 = -32*k - 16*k + 96. Solve 0 - 1/4*a**4 + 1/4*a + 1/4*a**k - 1/4*a**3 = 0 for a.
-1, 0, 1
Factor 2/7*n + 2/7*n**2 + 0.
2*n*(n + 1)/7
Suppose 0 = -4*r + 5*k + 172, 4*k + 15 = 2*r - 65. Let s be 5*(r/(-10))/(-4). Suppose 9*w + 0 - 2*w**3 + s + 0 - w**3 = 0. What is w?
-1, 2
Let s(p) = -2*p + 4. Let o(v) = 1. Let f(b) = 4*o(b) - s(b). Let y be f(1). Factor -5*j - y*j**3 + 3*j - j**2 + 5*j**2.
-2*j*(j - 1)**2
Determine i, given that 35*i**4 - 38*i**3 - 62*i**3 + 20*i + 5*i**3 + 19*i**2 + 21*i**2 = 0.
-2/7, 0, 1, 2
Suppose 11 = 4*i + 3*o, 3*i = -i + o + 7. Let x(d) be the second derivative of 1/18*d**3 - i*d - 1/36*d**4 - 1/60*d**5 + 0 + 1/6*d**2. Solve x(m) = 0.
-1, 1
Let b = -382 + 382. Suppose -2/7*y**2 - 4/7*y**3 + 0*y + b - 2/7*y**4 = 0. What is y?
-1, 0
Solve 2/9 + 0*j - 2/9*j**2 = 0.
-1, 1
Factor 0*m - 3/2*m**2 + 0.
-3*m**2/2
Suppose 0 = p - 3*w - 78, -4*p = p - 3*w - 354. Let x = p - 129/2. Factor x*z**2 + 6*z**3 - 3/2*z + 0.
3*z*(z + 1)*(4*z - 1)/2
Let j be -5 + 2 - (40/2)/(-4). Find p such that 0*p**j + 0 - 3/4*p**5 + 0*p**3 + 0*p - 1/2*p**4 = 0.
-2/3, 0
Let x(z) be the first derivative of -2*z**3/9 + 28*z**2/3 - 392*z/3 + 64. Let x(s) = 0. What is s?
14
Let l = 137 + -137. Suppose 10/9*s**2 + 2*s**4 + 32/9*s**3 + l - 4/9*s = 0. Calculate s.
-1, 0, 2/9
Suppose 2*o = -3 + 9. Let z(i) be the first derivative of -1/3*i**o - 1/2*i - 2 - 3/4*i**2. Factor z(r).
-(r + 1)*(2*r + 1)/2
Let a(v) = 3*v + 1. Let h be a(1). Suppose 5*k = -5, 2*i - 4*i + 8 = -h*k. Factor -d**2 - 3*d + 7*d - i - 2.
-(d - 2)**2
Let r = -114 - -114. Let f(g) be the second derivative of 3*g + 1/54*g**4 - 1/45*g**5 + r*g**2 + 0 + 0*g**3 + 1/135*g**6. Determine d so that f(d) = 0.
0, 1
Let h(d) be the first derivative of -5*d**6/8 + d**5/4 + 5*d**4/2 + 5*d**3/3 + 8. Let h(r) = 0. What is r?
-1, -2/3, 0, 2
Let y(d) = -d + 5. Let t be y(5). Let r be 6/(-21) - (-2)/7. Factor 2/3*s**5 + r - 4/3*s**4 - 2/3*s + t*s**3 + 4/3*s**2.
2*s*(s - 1)**3*(s + 1)/3
Factor 0*g**2 + 0*g**3 - 10*g**2 - 4*g**3 - 2*g**2.
-4*g**2*(g + 3)
Let j be -9 - (1 + (3 - 5)). Let l = j + 11. Factor 2/3*n - 2/3*n**l + 0 + 0*n**2.
-2*n*(n - 1)*(n + 1)/3
Suppose -2*f - 4*i = -16, -4*i + 16 = -3*f - 0*i. Determine c so that 1/2*c - 2*c**2 + 3*c**3 - 2*c**4 + f + 1/2*c**5 = 0.
0, 1
Let b = -12 + 17. Let 5*h**5 - 2*h**5 - h**3 - 3*h**3 + h**b = 0. Calculate h.
-1, 0, 1
Let t(a) be the third derivative of -a**9/4536 + a**7/630 - a**5/180 - a**3/2 - 4*a**2. Let r(n) be the first derivative of t(n). Factor r(f).
-2*f*(f - 1)**2*(f + 1)**2/3
Suppose 4*f - 4 = -0. Let k be 20/(-16) - f - -3. Factor -k*x**2 - 3/4 + 3/2*x.
-3*(x - 1)**2/4
Let w(t) be the first derivative of -7*t**6/3 + 44*t**5/15 + 43*t**4/6 - 8*t**3/9 - 4*t**2/3 - 6. Determine l, given that w(l) = 0.
-1, -2/7, 0, 1/3, 2
Let y(f) be the second derivative of -f**8/1680 - f**7/315 - f**6/180 + f**4/72 - f**3 - 3*f. Let a(r) be the second derivative of y(r). Factor a(v).
-(v + 1)**3*(3*v - 1)/3
Let i(o) be the first derivative of o**6/3 - 2*o**5 + 5*o**4 - 20*o**3/3 + 5*o**2 - 2*o - 10. Factor i(k).
2*(k - 1)**5
Determine u so that 2/7*u**2 - 8/7 + 6/7*u**3 - 24/7*u = 0.
-2, -1/3, 2
Let -5*t + t + 6*t - 2*t**2 + 4*t - 4 = 0. Calculate t.
1, 2
Find p such that 1 + 15 + 28*p**2 - 24*p - 2*p**3 - 16*p**2 = 0.
2
Let p(j) be the second derivative of j**6/40 + 7*j**5/160 - 5*j**4/96 - 7*j**3/48 - j**2/16 + j. Determine y so that p(y) = 0.
-1, -1/6, 1
Let c = 61/78 - 3/26. Factor 0 + c*k**3 + 2/3*k + 4/3*k**2.
2*k*(k + 1)**2/3
Factor 3/5*m - 1/5*m**3 + 0 + 2/5*m**2.
-m*(m - 3)*(m + 1)/5
Suppose -3*c + c - 8 = -2*t, -5*c - 14 = t. Let w be t/2*48/108. Find m such that -2/9 + w*m**2 + 0*m = 0.
-1, 1
Let z be -2*(-1 - 3/6). Find x such that -x - 3*x**2 + 8*x**2 - 6*x**3 + 2*x**z = 0.
0, 1/4, 1
Let k(y) be the second derivative of -3/35*y**5 - 4/7*y**3 - 4/7*y**2 + 0 - 1/105*y**6 - 13/42*y**4 + 6*y. Solve k(z) = 0 for z.
-2, -1
Suppose -2*h = -2*g - 0*g + 4, -2*g - 3*h + 4 = 0. Solve -8*u**g + 8/5*u + 0 + 46/5*u**3 - 14/5*u**4 = 0 for u.
0, 2/7, 1, 2
Let g(o) = 2*o - 5. Let d be g(4). Let m(b) be the second derivative of 0 - 1/30*b**4 - b + 4/15*b**d - 4/5*b**2. Factor m(n).
-2*(n - 2)**2/5
Let s(m) be the second derivative of 0*m**2 + 0 - 1/40*m**5 - 2*m + 1/84*m**7 + 0*m**4 + 0*m**6 + 0*m**3. Factor s(d).
d**3*(d - 1)*(d + 1)/2
Let j = 3 - 0. Factor -4*y - y**4 + 6*y**2 + y**j + 2*y**4 - 5*y**3 + 1.
(y - 1)**4
Let n(u) = u**3 - 11*u**2 - 11*u + 2. Let o be n(12). What is r in o*r**2 + 0 + 1 + 3*r**4 - 14*r**3 - 16*r + 9*r**2 + 3 = 0?
2/3, 1, 2
Let r(w) be the second derivative of w**7/126 - w**6/90 - w**5/20 + 5*w**4/36 - w**3/9 - 15*w. Let r(h) = 0. What is h?
-2, 0, 1
Let a(p) = -1. Let g(t) = 2*t - 4. Let x(v) = 2*a(v) + g(v). Let z be x(5). Solve 4*h - z*h - 2*h - 2*h**2 = 0 for h.
-1, 0
Let n(r) be the second derivative of 0 - 5/24*r**3 - 3/80*r**5 - r + 1/8*r**2 + 7/48*r**4. Factor n(p).
-(p - 1)**2*(3*p - 1)/4
Suppose 21/2*r**5 - 3*r - 15/2*r**3 + 27/2*r**2 + 0 - 27/2*r**4 = 0. Calculate r.
-1, 0, 2/7, 1
Let g be (-8)/48*28/(-21). What is d in g*d**2 - 2/3 + 4/9*d = 0?
-3, 1
Let h(d) be the first derivative of d**4/6 + 4*d**3/9 + d**2/3 + 9. What is a in h(a) = 0?
-1, 0
Suppose 8*u + 17 = 33. Suppose -1/4*a**u + 0 - 1/4*a = 0. What is a?
-1, 0
Factor 0