 of v(w). Factor n(d).
(d - 1)**2
Suppose v - 3*f - 24 = -2*v, 27 = 3*v - 4*f. Let r = 8 - v. Suppose -2*k**2 - k + 4 + 6 + r*k - 6 = 0. Calculate k.
-1, 2
Let d be (75/(-6) + 2)*(-28)/49. Let h(s) be the third derivative of 0*s + 1/90*s**d + 0*s**3 - 2*s**2 + 1/180*s**5 + 0 + 0*s**4. Suppose h(z) = 0. What is z?
-1/4, 0
Let k = 753/4 - 187. Determine j so that -1/2*j**2 + 7/4*j**4 - k*j**3 + 0*j + 0 = 0.
-2/7, 0, 1
Let c(a) be the second derivative of a**8/1680 + a**7/420 - a**5/60 - a**4/24 - 7*a**3/6 - 9*a. Let i(t) be the second derivative of c(t). Factor i(u).
(u - 1)*(u + 1)**3
Factor 3*w**3 + 16 + 3*w**3 + 44*w**2 + 48*w + 6*w**3.
4*(w + 1)*(w + 2)*(3*w + 2)
Let j be (3 + (-4)/1)*-11. Let w = 13 - j. Factor 2/5*a + 2/5*a**w - 2/5 - 2/5*a**3.
-2*(a - 1)**2*(a + 1)/5
Determine k so that -22 + 5*k**4 + 36*k - k**2 - 5*k**2 - 9*k**3 - 2*k**4 - 2 = 0.
-2, 1, 2
Let r be 1 + 5 + -4 + 2. Let p be 6/4 + (-6)/r. Find t such that p*t + 0 + 1/3*t**3 + 2/3*t**2 - 1/3*t**4 = 0.
-1, 0, 2
Factor 7*z + 4*z**4 + 194*z**2 - 198*z**2 + z - 8*z**3.
4*z*(z - 2)*(z - 1)*(z + 1)
Factor -36*v**3 + 48*v**2 - 11*v**2 + 15*v**4 - 25*v**2.
3*v**2*(v - 2)*(5*v - 2)
Let y(s) = -s**3 - 8*s**2 - 8*s - 4. Let t be y(-7). Suppose 0 = -5*d + 5*j - 15, 0*d = -3*d - j + 11. Factor -3*b**d - t*b + b + b.
-b*(3*b + 1)
Find w such that 3/2 + 3/4*w - 3/4*w**2 = 0.
-1, 2
Let o(k) be the second derivative of 0 + 3*k - 1/36*k**4 + 1/18*k**3 + 1/3*k**2. Solve o(y) = 0.
-1, 2
Let q be 4 - 2*1/(-2). Suppose q*m - 17 = -r, 0 + 4 = -r + 2*m. Factor 2/5*j + 4/5 - 2/5*j**r.
-2*(j - 2)*(j + 1)/5
Let j(x) = -147*x**3 - 88*x**2 - 8*x. Let t(q) = -147*q**3 - 89*q**2 - 7*q. Suppose -4*g - 11 = 9. Let y(m) = g*j(m) + 4*t(m). Let y(c) = 0. What is c?
-2/7, 0
Let x(n) be the first derivative of n**5/5 - 5*n**4/2 + 29*n**3/3 - 16*n**2 + 12*n - 35. Factor x(k).
(k - 6)*(k - 2)*(k - 1)**2
Suppose -o + 60 = 4*o. Suppose -5*m = -m - o. Let 0 - 6/7*d**m - 2/7*d**2 + 4/7*d = 0. Calculate d.
-1, 0, 2/3
Let h(n) be the first derivative of 4 + 1/12*n**3 + n + 1/2*n**2. Let h(s) = 0. What is s?
-2
Let 2/17*d**3 + 2/17*d + 0 + 4/17*d**2 = 0. Calculate d.
-1, 0
Suppose a + 7 + 3 = 2*k, 3*a = 0. Factor 5 - 2 - 3 + 8*d**4 - 8*d**2 - 4*d + 4*d**k.
4*d*(d - 1)*(d + 1)**3
Let g = 19 + -14. Let w be (-4)/2 + (-16)/(-6). Factor 2/3*r - 8/3*r**4 - 8/3*r**2 + 0 + w*r**g + 4*r**3.
2*r*(r - 1)**4/3
Let w = 870 - 870. Determine y, given that w + 3/7*y**3 + 6/7*y**2 + 0*y = 0.
-2, 0
Let u(c) = 15*c**2 - 15*c + 55. Let p(m) = m**2 - m + 4. Let j(w) = 85*p(w) - 6*u(w). Factor j(l).
-5*(l - 2)*(l + 1)
Let v(m) = -8*m**5 + 3*m**4 + 8*m**3 - 8*m**2 - 5*m - 5. Let c(f) = 9*f**5 - 3*f**4 - 9*f**3 + 9*f**2 + 6*f + 6. Let x(g) = 5*c(g) + 6*v(g). Solve x(p) = 0.
-1, 0, 1
Let b(h) = h**4 - 4*h**3 + h - 1. Let o = -15 - -29. Let d(l) = -4*l**4 + 20*l**3 - 6*l + 4. Let n(w) = o*b(w) + 3*d(w). Suppose n(t) = 0. What is t?
-1, 1
Let f be -2*5/(30/(-9)). Determine a, given that f*a**3 + 48*a**2 + 23*a - 5*a + 29*a**3 = 0.
-3/4, 0
Let y(t) = -13*t**4 + 5*t**3 - 17*t**2 - 13*t + 11. Let m(s) = s**4 - s**3 + s**2 + s - 1. Let u(l) = 22*m(l) + 2*y(l). Find z such that u(z) = 0.
-1, 0
Let z(g) be the second derivative of -g**6/40 + 3*g**5/40 - g**3/4 + 3*g**2/8 - 17*g. Solve z(p) = 0 for p.
-1, 1
Let s(f) be the second derivative of f**8/2240 - f**6/80 - f**5/20 - f**4/12 - 2*f. Let r(a) be the third derivative of s(a). Factor r(p).
3*(p - 2)*(p + 1)**2
Let x(n) be the second derivative of 0 - 1/60*n**5 + 0*n**3 + 0*n**2 - 4*n - 1/36*n**4. Factor x(f).
-f**2*(f + 1)/3
Let t(a) = -4*a + 14. Let g be t(3). Let -10/3*s**3 + 0 - 4/3*s + 14/3*s**g = 0. What is s?
0, 2/5, 1
Let j = -5 + 7. Factor -5 - w - 4 + 7 + w**j.
(w - 2)*(w + 1)
Let b(z) = -z - 7. Let p be b(-9). Let s**p + 3 + 2*s**3 + s**4 - 1 - 2 = 0. What is s?
-1, 0
Let t(r) be the third derivative of r**6/360 - r**5/90 + 9*r**2. Factor t(b).
b**2*(b - 2)/3
Suppose 5*q + 3 - 13 = 0. Factor -2 + t**2 - 2*t**3 + t**2 + 2*t - t**2 + t**q.
-2*(t - 1)**2*(t + 1)
Let z(c) be the second derivative of c**6/10 + 3*c**5/20 - c**4/4 - c**3/2 - 7*c. Let z(m) = 0. Calculate m.
-1, 0, 1
Let i = -3 + 1. Let a = i - -3. Factor 3*y**3 - 3*y + 0*y**2 + y**2 + 0 - a.
(y - 1)*(y + 1)*(3*y + 1)
Let s(u) be the first derivative of 2*u**3/33 - 2*u/11 - 1. Factor s(a).
2*(a - 1)*(a + 1)/11
Suppose -5*a - 4 + 14 = 0. Let x(y) be the first derivative of -12/7*y**2 + 4/7*y**3 + a - 1/14*y**4 + 16/7*y. Factor x(z).
-2*(z - 2)**3/7
Let s(q) be the second derivative of 2*q**6/15 - 6*q**5/5 + 8*q**4/3 + 4*q**3 - 18*q**2 - 24*q. Solve s(y) = 0 for y.
-1, 1, 3
Suppose -7*n = 51 - 79. Determine y, given that 1/2*y + n*y**2 + 5/2*y**3 - 1 = 0.
-1, 2/5
Let a(f) be the second derivative of 1/16*f**4 - 3/4*f**2 + 0 + 1/8*f**3 + 2*f. Solve a(b) = 0.
-2, 1
Let r(z) be the third derivative of z**9/483840 - z**8/161280 - z**7/20160 + z**5/12 + 6*z**2. Let g(m) be the third derivative of r(m). Factor g(y).
y*(y - 2)*(y + 1)/8
Let p(q) be the first derivative of q**7/98 + q**6/14 + 6*q**5/35 + q**4/7 + 9*q + 1. Let j(i) be the first derivative of p(i). Determine h so that j(h) = 0.
-2, -1, 0
Let j(p) be the third derivative of p**7/840 + p**6/480 - p**5/240 - p**4/96 + 12*p**2. Find z, given that j(z) = 0.
-1, 0, 1
Let d(g) be the second derivative of -g**7/126 + g**6/90 + g**5/30 - g**4/18 - g**3/18 + g**2/6 - g. Factor d(t).
-(t - 1)**3*(t + 1)**2/3
Let 2/3 + 4/3*z**3 - 5/3*z + 2/3*z**2 + 1/3*z**5 - 4/3*z**4 = 0. Calculate z.
-1, 1, 2
Let a(p) be the first derivative of -p**6/40 + p**5/10 - p**4/8 + p**2 + 2. Let c(h) be the second derivative of a(h). Find o, given that c(o) = 0.
0, 1
Suppose 4*y - 28 = -0*y. Find d, given that -2*d**3 - y + 2*d**4 - 2*d**2 + 2*d + 7 = 0.
-1, 0, 1
Let p(g) be the first derivative of 0*g + 1/2*g**4 + 1 + 0*g**2 - 2/3*g**3. Find r, given that p(r) = 0.
0, 1
Let s be (-11)/(2/(1 - -1)). Let g = s - -11. Find w such that 1/3*w**2 + g*w + 0 = 0.
0
Let l(p) = -p**2 - p + 1. Let f(h) = -h**3 - 3*h**2 - 4*h + 3. Let s(u) = -f(u) + 5*l(u). Factor s(g).
(g - 2)*(g - 1)*(g + 1)
Suppose -2*m - 3*m = -35. Let b = m - 5. Find d such that -6 - d - b*d + 0 + 0*d + 3*d**2 = 0.
-1, 2
Let t(n) be the second derivative of -n**6/15 + 3*n**5/7 - 43*n**4/42 + 8*n**3/7 - 4*n**2/7 - 10*n. Solve t(m) = 0.
2/7, 1, 2
Suppose 0 = 4*p - 9*p - 5. Let i(v) = 3*v**2 + v + 1. Let n be i(p). Factor -4*w**2 - 7*w**4 + 19*w**n - 3*w**3 + 0*w**2.
-w**2*(w - 2)*(7*w - 2)
Let r be (1 - -3) + 0/(-4). Let u(s) be the second derivative of -1/48*s**r - 1/12*s**3 + 0 - 1/8*s**2 - s. Factor u(v).
-(v + 1)**2/4
Let x be (-16)/(-7) - (-14)/(-49). Suppose -z - 4*r = -r - 11, -x*z + 13 = 3*r. Factor i - 2*i - i**2 - i**z.
-i*(2*i + 1)
Factor 216*d - 5 - 216*d + 5*d**2.
5*(d - 1)*(d + 1)
Let w = 8 - 6. Factor -2*d**2 - d**4 - w*d**3 + 0*d**3 + 2*d + 3*d**2.
-d*(d - 1)*(d + 1)*(d + 2)
Let w be (-2 - (22/(-4) + 4))*0. Let f(s) be the second derivative of w*s**3 - 1/3*s**4 + 0 + 0*s**5 + s**2 + s + 1/15*s**6. Factor f(i).
2*(i - 1)**2*(i + 1)**2
Let i(d) = -5*d**2 + 9*d + 6. Let q(m) = -2*m**2 + 3*m + 2. Let c(k) = -3*i(k) + 8*q(k). Factor c(n).
-(n + 1)*(n + 2)
Let s(d) = -15*d**3 + 90*d**2 - 240*d + 160. Let p(y) = -7*y**3 + 45*y**2 - 120*y + 80. Let z(o) = -5*p(o) + 2*s(o). Solve z(c) = 0 for c.
1, 4
Determine s so that -2/11*s**2 - 4/11*s + 0 = 0.
-2, 0
Suppose 5*g - 19 = -4. Suppose -62*r = -69*r. Let r + 4/9*j + 2/9*j**2 - 2/9*j**g = 0. What is j?
-1, 0, 2
Let n = 43/11 + -41/11. Suppose n*h**3 + 2/11*h**5 + 0*h**2 + 0*h - 4/11*h**4 + 0 = 0. Calculate h.
0, 1
Factor 1/3*d**2 + 2/9*d - 8/9*d**3 + 0 + 1/3*d**4.
d*(d - 2)*(d - 1)*(3*d + 1)/9
Let u(k) be the second derivative of k**4/96 + k**3/24 - 3*k**2/16 - 11*k. Factor u(x).
(x - 1)*(x + 3)/8
Let a(x) be the second derivative of -x**8/4200 - x**7/1050 - x**6/900 - x**3/2 + 2*x. Let w(i) be the second derivative of a(i). Factor w(q).
-2*q**2*(q + 1)**2/5
Find x such that -24*x**2 - 2 + 2 - 4*x**3 - 12*x + 8*x**2 = 0.
-3, -1, 0
Let p = -735/8 + 16981/184. Let n = 2/23 + p. Solve n*f**2 + 0 - f = 0 for f.
0, 2
Let n(w) be the third derivative of -w**7/2940 + w**6/210 - w**5/35 + 2*w**4/21 + w**3/6 - 3*w**2. Let g(u) be the first derivative of n(u). Factor g(k).
-2*(k - 2)**3/7
Solve -1/5*t