-4*c = -x - 18, 2*x + 21 = 7*c - j*c. Factor -y + 1/2 + 1/2*y**x.
(y - 1)**2/2
Let r = -36 - -53. Let g = -67/4 + r. Solve -1/4*d**4 + 1/4*d**5 + 1/2*d**2 - 1/2*d**3 - g + 1/4*d = 0.
-1, 1
Let w = 116 - 116. Find j, given that -2/5*j**3 + 0*j - 2/5*j**5 + w*j**2 + 0 + 4/5*j**4 = 0.
0, 1
Let x(a) be the second derivative of a**4/18 + 4*a**3/9 + a**2 + 24*a. Suppose x(h) = 0. What is h?
-3, -1
Let f(n) be the second derivative of n**4/12 + 2*n**3/3 + 16*n. Solve f(u) = 0 for u.
-4, 0
Let v(p) be the first derivative of 14/45*p**5 + 23/18*p**4 + 13/9*p**2 + 2*p**3 + 4/9*p + 1. Factor v(o).
2*(o + 1)**3*(7*o + 2)/9
Let j(o) be the first derivative of 63*o**4/2 - 190*o**3/3 + 36*o**2 - 8*o - 16. Factor j(p).
2*(p - 1)*(7*p - 2)*(9*p - 2)
Suppose -y + 30 = 26. Let x(h) be the second derivative of 0 - 1/18*h**y - 1/30*h**5 - 3*h + 1/9*h**3 + 1/3*h**2. Factor x(w).
-2*(w - 1)*(w + 1)**2/3
Let o be 2 + (2 - 357/90). Let f(k) be the third derivative of 0*k - o*k**5 - 2/9*k**3 + 0 + k**2 + 5/36*k**4. Factor f(g).
-2*(g - 1)*(3*g - 2)/3
Suppose g = -o, 4*o - 20 = -0*o + g. Let v(l) be the first derivative of 1/9*l**6 + 0*l**3 - 3 + 2/15*l**5 + 0*l + 0*l**o + 0*l**2. Let v(s) = 0. Calculate s.
-1, 0
Let p(y) be the third derivative of -y**8/2184 + y**7/1365 - 22*y**2. Suppose p(g) = 0. Calculate g.
0, 1
Suppose -3*p + 4*p = 5. Solve 6*k**3 - 3*k**5 - 4*k**2 + k**p - 4*k + 2*k**4 + 2*k**2 = 0 for k.
-1, 0, 1, 2
Let j(m) be the third derivative of m**8/6720 - m**7/560 - m**6/60 - m**5/12 - 9*m**2. Let b(s) be the third derivative of j(s). Let b(n) = 0. Calculate n.
-1, 4
Determine z so that -11*z**2 + z**2 + 58*z**4 - 26*z**5 - 22*z**3 + z - 4*z**5 + 3*z = 0.
-2/5, 0, 1/3, 1
Let s(v) be the first derivative of 2*v**3/3 + 4*v**2 + 4. Suppose s(z) = 0. Calculate z.
-4, 0
Let a = -37/7 - -213/35. Solve -1/5 + a*m**2 - 3/5*m = 0 for m.
-1/4, 1
Suppose 961*l**2 + 25*l - 966*l**2 - 19 - 11 = 0. What is l?
2, 3
Let r(m) be the third derivative of 2*m**7/105 - m**6/6 + 4*m**5/15 - 10*m**2. Find i, given that r(i) = 0.
0, 1, 4
Suppose s + 4 = -4*b + 12, -5*b = 2*s - 4. Let t = s - -13. Suppose -6*j**3 + 2*j - 4*j**4 + 11*j**5 - 3*j**3 + 5*j**2 - j**4 - 4*j**t = 0. Calculate j.
-1, -2/7, 0, 1
Let o be (-4)/(-5)*(-5 - -15). Suppose -2*z**3 + 2*z - 2*z**5 - 7*z**2 + o*z**3 + 2*z + 2*z**4 - 3*z**2 = 0. What is z?
-2, 0, 1
Suppose 5*b = 16 - 6. Suppose -2*m**5 - 4*m**2 + 7*m + b*m - m + 4*m**4 - 6*m = 0. Calculate m.
-1, 0, 1
Let y(d) = 3*d**3 + 5*d**2 + 3*d - 1. Let f(a) = 10*a**3 + 16*a**2 + 9*a - 4. Let l(b) = 2*f(b) - 7*y(b). Factor l(u).
-(u + 1)**3
Factor 10*r**2 + 6*r - 5*r**2 - r.
5*r*(r + 1)
Let o(r) be the second derivative of r**4/12 - 2*r. Let o(q) = 0. What is q?
0
Let r(h) = 6*h**3 + 16*h**2 + 22*h + 12. Let f(n) = 9 + 15*n + 10*n**2 + n**2 - 1 + 4*n**3. Let a(p) = 8*f(p) - 5*r(p). Let a(v) = 0. What is v?
-2, -1
Let p = -180 - -361/2. Let h(g) = g + 2. Let d be h(0). Find c, given that 1/2 + p*c**d - c = 0.
1
Let x = 6 + -17/3. Factor -x*i - 1/3*i**3 + 2/3*i**2 + 0.
-i*(i - 1)**2/3
Let m(x) = -4*x + 7. Let f be m(1). Let v(j) be the first derivative of 1/6*j**f + 1/4*j**2 + 0*j - 2. Solve v(k) = 0 for k.
-1, 0
Let l be (-8)/4 + 3 - 4. Let a = l + 5. Factor -1/3*g**a + 0 - 1/3*g.
-g*(g + 1)/3
Let v(h) be the second derivative of h**8/6720 - h**4/4 + 2*h. Let d(p) be the third derivative of v(p). Factor d(f).
f**3
Suppose -4*r + 10 = -5*y, 7*r + 4*y + 8 = 12*r. Determine l so that 0 + 2/5*l**4 + 0*l + 2/5*l**5 + r*l**2 - 4/5*l**3 = 0.
-2, 0, 1
Let w(n) = 9*n**3 + 33*n**2 - 48*n - 153. Let z(t) = 8*t**3 + 32*t**2 - 49*t - 154. Let y(p) = -4*w(p) + 3*z(p). Factor y(h).
-3*(h - 2)*(2*h + 5)**2
Let p(h) = 11*h**2 - 7*h + 32. Let t(a) = a**2 + a. Let z(b) = 2*p(b) - 18*t(b). Solve z(g) = 0.
4
Let r(k) be the third derivative of k**8/30240 + k**7/2520 + k**6/540 - k**5/60 - 4*k**2. Let w(s) be the third derivative of r(s). Find v such that w(v) = 0.
-2, -1
Find n, given that 2/7 + 5/7*n + 3/7*n**2 = 0.
-1, -2/3
Let n(k) = -2*k**2 + 5. Let t(w) = w - 2. Let i = 4 + 0. Let b be t(i). Let p(o) = o**2 - o - 1. Let y(d) = b*n(d) + 6*p(d). Factor y(j).
2*(j - 2)*(j - 1)
Let c(t) = -10*t**2 - 42*t + 30. Let s(a) = 19*a**2 + 85*a - 59. Let r(p) = -5*c(p) - 2*s(p). Find q such that r(q) = 0.
-4, 2/3
Suppose 0*f + 3*f + 12 = 5*t, 3*t + 2*f + 8 = 0. Suppose -2*o**2 - 2*o - 2 + t*o - 2*o = 0. What is o?
-1
Let k(h) = 2*h**2 + 3*h. Let m be k(-2). Suppose -3*f**3 + 7*f - 9*f**m + 0*f + 3*f**4 + 10 - 4*f - 4 = 0. Calculate f.
-1, 1, 2
Let a(c) = -19*c - 1. Let w be a(-1). Let g be -2 + -2 + w/3. Suppose 0*i**g + 0 + 1/4*i**3 - 1/4*i = 0. What is i?
-1, 0, 1
Let f(y) be the first derivative of -y**9/1008 + y**7/70 - y**6/60 - 3*y**5/40 + y**4/4 - y**3 + 3. Let u(j) be the third derivative of f(j). Factor u(l).
-3*(l - 1)**3*(l + 1)*(l + 2)
Let h(b) = -b**2 + 3*b + 6. Let z be h(4). Find p such that -19*p**3 - p + p**z - p**4 - p**5 + 20*p**3 + p = 0.
-1, 0, 1
Let c(l) be the first derivative of 2/3*l + 1/9*l**6 - 1/3*l**4 - 4/9*l**3 - 1 + 2/15*l**5 + 1/3*l**2. Let c(s) = 0. What is s?
-1, 1
Let b be (3/(-6))/(1/8) - -6. Let b*k**2 - 2*k**3 - 2/3*k + 2/3*k**4 + 0 = 0. What is k?
0, 1
Let m = -49 + 53. Let g(d) be the third derivative of -2*d**2 + 1/12*d**3 + 1/15*d**5 + 1/60*d**6 + 0*d + 0 + 5/48*d**m. Factor g(v).
(v + 1)*(2*v + 1)**2/2
Suppose -q - 9 = -4*y - 1, 5*y + 3*q = 10. Factor 0*w**y - 2*w**2 - 2*w**4 + 4*w**4.
2*w**2*(w - 1)*(w + 1)
Let r(f) = -4*f**2 - 101*f - 22. Let u be r(-25). Factor 2/7*x - 6/7*x**u - 4/7*x**2 + 0.
-2*x*(x + 1)*(3*x - 1)/7
Factor 26*t**2 - 15 + 24*t**2 - 25*t + 5*t**3 - 55*t**2.
5*(t - 3)*(t + 1)**2
Factor 1/4*o**4 + 9/4*o**2 - 7/4*o - 5/4*o**3 + 1/2.
(o - 2)*(o - 1)**3/4
Factor -3 + 21*j**2 - 3 + 12 - 27*j.
3*(j - 1)*(7*j - 2)
Let t(w) be the first derivative of 3*w**2 - 21/5*w**5 - 3*w**3 - 9*w**4 + 0*w - 5. Factor t(z).
-3*z*(z + 1)**2*(7*z - 2)
Let t(b) be the third derivative of -b**9/30240 + b**8/10080 + b**5/60 + b**2. Let r(o) be the third derivative of t(o). Factor r(c).
-2*c**2*(c - 1)
Let t(d) be the first derivative of -1 + 0*d - 1/3*d**3 + 1/2*d**2. Suppose t(y) = 0. Calculate y.
0, 1
Let m be ((-4)/60)/(8/(-10)). Let y(l) be the second derivative of 0*l**2 - m*l**3 + l + 1/60*l**6 - 3/40*l**5 + 0 + 1/8*l**4. Find c, given that y(c) = 0.
0, 1
Suppose 20 = 5*t - 2*l, 3*l + 4 = -t - 9. Factor -1 + 2*b + 0*b**t - 8*b**2 + 7*b**2.
-(b - 1)**2
Let m(w) be the second derivative of 3/8*w**5 - 1/4*w**3 - 1/2*w**2 + 0 + 2*w + 7/12*w**4. Factor m(f).
(f + 1)*(3*f + 1)*(5*f - 2)/2
Let i(c) be the first derivative of c**6/24 + 3*c**5/20 + c**4/8 - 10. Determine t, given that i(t) = 0.
-2, -1, 0
Let h(b) be the second derivative of b**4/6 + 5*b**3/12 + b**2/4 + 3*b. Let h(l) = 0. Calculate l.
-1, -1/4
Let l(x) be the second derivative of -1/24*x**4 + 0 - 7*x - 1/6*x**3 - 1/4*x**2. Factor l(o).
-(o + 1)**2/2
Factor -20*s + 0 + 16*s**4 + 124*s**3 - 104*s**3 - 12*s**2 - 4.
4*(s - 1)*(s + 1)**2*(4*s + 1)
Suppose 6*b - 9 - 9 = 0. Suppose -3 = b*q, 0*j - 4*q = -2*j + 4. Factor 0*w**2 - 2/7*w**3 + j + 0*w.
-2*w**3/7
Let t = -20 - -26. Let s be (2/(-5))/(t/(-30)). Suppose -4/9 + 2/3*g - 2/9*g**s = 0. What is g?
1, 2
Let g(l) be the second derivative of 0*l**3 - 3*l + 1/20*l**5 + 0 + 0*l**2 - 1/42*l**7 + 0*l**4 + 0*l**6. Find w such that g(w) = 0.
-1, 0, 1
Factor 5 - 110*v**2 - 2 + 107*v**2.
-3*(v - 1)*(v + 1)
Let i(s) = s**3 + 12*s**2 + 11*s + 2. Let x be i(-11). Factor v**x + 10 - 4*v - 6 + 0.
(v - 2)**2
Let y be -1 + -10*(-3)/6. Suppose -y*h = -0*h - 24. Find d such that 2 - 6 - h*d - 3*d**2 + d**2 = 0.
-2, -1
Let p = 17 + -26. Let s be (2/6)/(p/(-18)). Factor -2/3*y + 2/3*y**3 + s - 2/3*y**2.
2*(y - 1)**2*(y + 1)/3
Let s(v) be the first derivative of -7/2*v**4 + 4 - 9/2*v**2 - 16/3*v**3 - 2*v - 6/5*v**5 - 1/6*v**6. Factor s(a).
-(a + 1)**4*(a + 2)
Factor -3*t + 2*t**4 + t - 4*t**2 - 2*t + 4*t**3 + 2*t**4.
4*t*(t - 1)*(t + 1)**2
Let k(c) be the first derivative of -1/6*c**4 - 3*c - 1 + 0*c**2 - 1/3*c**3. Let u(i) be the first derivative of k(i). Determine s, given that u(s) = 0.
-1, 0
Let y = 13 + -13. Let s(r) be the second derivative of 1/48*r**4 + y*r**2 + 3/80*r**5 - r + 0 + 1/40*r**6 + 0*r**3 + 1/168*r**7. Find a, given that s(a) = 0.
-1, 0
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