the third derivative of z(w). Factor j(g).
-2*g*(g - 1)/9
Let r be (-44)/(-55) + 7 + (-4)/(-2). Factor r*h**2 - 14/5*h + 1/5.
(7*h - 1)**2/5
Factor 1/4*q**5 + 7/4*q**4 + 19/4*q**3 + 4*q + 1 + 25/4*q**2.
(q + 1)**3*(q + 2)**2/4
Let h(g) be the first derivative of g**5/20 + 3*g**4/16 + g**3/12 - 3*g**2/8 - g/2 + 13. Factor h(o).
(o - 1)*(o + 1)**2*(o + 2)/4
Solve -4/7*m + 0 - 10/7*m**2 - 4/7*m**3 = 0.
-2, -1/2, 0
Let y = 43/595 + -2/357. Let w(x) be the second derivative of -1/50*x**5 + 0*x**4 + x + 0*x**2 + 0 + y*x**3. Solve w(n) = 0.
-1, 0, 1
Suppose -5*i + 24 = -6. Let j be (i/9)/((-4)/(-3)). Factor 0*w + 0 - 1/2*w**2 + 0*w**3 + j*w**4.
w**2*(w - 1)*(w + 1)/2
Let w = 12 - 6. Let h(a) = a - 3. Let n be h(w). Factor 0*u - 2/3*u**n + 0*u**2 + 2/3*u**4 + 0.
2*u**3*(u - 1)/3
Suppose -4*h + 13*h = -4*h. Let 2/7*s**3 + 0 + 0*s + h*s**2 - 2/7*s**4 = 0. What is s?
0, 1
Let p(n) = -4*n**5 - 21*n**4 + 35*n**3 + n**2. Let v(j) = -j**5 - 4*j**4 + 7*j**3. Let z(b) = -4*p(b) + 22*v(b). Suppose z(d) = 0. Calculate d.
-2, 0, 1/3, 1
Let l(j) = -j + 7. Let b be l(7). Factor b*d**2 + 2*d - 9*d**2 + 2*d**2.
-d*(7*d - 2)
Let q(f) be the third derivative of f**5/210 - f**4/42 - 15*f**2. Suppose q(y) = 0. What is y?
0, 2
Let o(n) be the third derivative of n**7/315 - n**6/90 + n**5/90 + 6*n**2. Factor o(v).
2*v**2*(v - 1)**2/3
Factor 4*g**4 + 3276*g - 16*g**2 - 2*g**5 + 8*g**3 - 3276*g.
-2*g**2*(g - 2)**2*(g + 2)
Determine n, given that 3/4*n**4 + 9/4*n**3 + 9/4*n**2 + 0 + 3/4*n = 0.
-1, 0
Let b = -436835 - -139350599/319. Let c = b + -2/319. Determine t so that -8/11*t**3 + 8/11 + c*t - 6/11*t**2 - 2/11*t**4 = 0.
-2, -1, 1
Let k(b) = 12*b**3 + 72*b**2 + 153*b + 93. Let s(d) = 3*d**3 + 18*d**2 + 38*d + 23. Let z(g) = 5*k(g) - 21*s(g). Find w, given that z(w) = 0.
-3, -2, -1
Determine f, given that -1 - 3*f + 0*f + 3*f**2 - 5 + 0*f**2 = 0.
-1, 2
Let i be 3 - 16/6 - 1/3. Factor -2/11*j**2 + i*j + 0 - 6/11*j**3.
-2*j**2*(3*j + 1)/11
Factor -7*p**3 + 3*p**5 + 9*p**2 - 2*p**3 - 3*p**2.
3*p**2*(p - 1)**2*(p + 2)
Let y(r) = 2*r**4 + 2*r**3 + 2*r**2 - 6*r + 8. Suppose -2*j + 8 = -0*j. Let f(l) = l**4 - l**2 + l + 1. Let u(c) = j*f(c) - y(c). Factor u(z).
2*(z - 1)**3*(z + 2)
Let d be ((-18)/2 + -1)/2. Let w be d/(-2) + 3/(-6). What is i in -15 - 4*i**2 + 0*i**w + 5*i + 13 + i**3 = 0?
1, 2
Let u(n) be the third derivative of 0*n**3 + 0*n**4 + 0 + 0*n + 1/168*n**8 - 4/105*n**7 + 1/12*n**6 - 1/15*n**5 + n**2. Let u(f) = 0. Calculate f.
0, 1, 2
Let c(y) be the first derivative of y**6/51 - 8*y**5/85 + 5*y**4/34 - 4*y**3/51 + 6. Factor c(g).
2*g**2*(g - 2)*(g - 1)**2/17
Let h be (24/18)/(2/(-6)). Let x(f) = -f - 1. Let q(p) be the third derivative of p**5/60 - 7*p**4/24 - p**3/3 + 3*p**2. Let r(k) = h*x(k) + q(k). Factor r(o).
(o - 2)*(o - 1)
Let h be 4/(-9)*57/(-38). Let m(u) be the second derivative of 0 + u**2 + 1/6*u**4 - u - h*u**3. Let m(p) = 0. What is p?
1
Suppose -2*w - w + 4 = -x, -5*w = -4*x - 2. Factor -2/9 - 4/9*s + 2/9*s**w + 4/9*s**3.
2*(s - 1)*(s + 1)*(2*s + 1)/9
Let a(l) = 4*l**3 - 8*l**2 + 8*l + 16. Let v(k) = k**3 + 2*k**2 - k**2 + k - 1 + 2*k**2 - 2*k**2. Let i(o) = a(o) - 2*v(o). Let i(f) = 0. What is f?
-1, 3
Let k = 49/45 + -13/15. Factor -2/9*r**4 + 2/3*r**2 + 4/9 - k*r**3 + 10/9*r.
-2*(r - 2)*(r + 1)**3/9
Factor 4/13*c**2 + 6/13*c + 2/13.
2*(c + 1)*(2*c + 1)/13
Let t(u) be the first derivative of u**6/4 - 3*u**5/5 - 3*u**4/4 + 4*u**3 - 21*u**2/4 + 3*u - 14. Solve t(c) = 0.
-2, 1
Let y(t) = t - 2. Let u be y(6). Suppose 0 = 4*n - 8 - u. Find z, given that -9 - 30*z**2 - 27*z - 46/3*z**n - 11/3*z**4 - 1/3*z**5 = 0.
-3, -1
Let c(x) be the second derivative of 2*x**7/21 + 2*x**6/15 - x**5/5 - x**4/3 + 9*x. Let c(z) = 0. What is z?
-1, 0, 1
Factor 0 - 2/3*l + 2/3*l**2.
2*l*(l - 1)/3
Let u be -1*1/((-2)/8). Suppose -3*d - 19 = -2*r, -29 = 4*r - 6*r + 5*d. What is c in c**4 - c**3 - r*c**3 + u*c**3 - c**2 - c**5 = 0?
-1, 0, 1
Let g(f) be the third derivative of -f**5/150 - f**4/10 - 8*f**3/15 - 26*f**2. Factor g(p).
-2*(p + 2)*(p + 4)/5
Let n(b) be the third derivative of 3/20*b**6 + 0*b + 0 + 0*b**3 + 5*b**2 + 1/8*b**4 + 1/5*b**5 + 2/35*b**7 + 1/112*b**8. Factor n(s).
3*s*(s + 1)**4
Let i(r) be the second derivative of -r**5/100 - r**4/15 - r**3/10 + 8*r. Factor i(j).
-j*(j + 1)*(j + 3)/5
Let s(k) be the first derivative of -k**6/30 + 3*k**5/25 - 3*k**4/20 + k**3/15 + 12. Suppose s(v) = 0. What is v?
0, 1
Suppose -180*j - 8*j**2 + 3*j**3 + 132*j - 32 + 4*j**4 + 9*j**3 = 0. What is j?
-2, -1, 2
Determine i, given that -3*i**2 + 4*i**2 - 2*i**2 + 1 = 0.
-1, 1
Let r(k) be the first derivative of k**6/1080 - k**4/72 + k**3 - 3. Let g(j) be the third derivative of r(j). Factor g(u).
(u - 1)*(u + 1)/3
Let j(y) be the second derivative of -y**9/504 + 5*y**8/504 - y**7/60 + y**6/180 + y**5/90 - y**3/6 - y. Let x(h) be the second derivative of j(h). Factor x(u).
-2*u*(u - 1)**3*(9*u + 2)/3
Suppose 0 = d - 2*s + 25, d + 170 = -4*d + s. Let u = -104/3 - d. Suppose u + 1/3*z**3 + z + z**2 = 0. Calculate z.
-1
Let o(p) be the second derivative of p**7/6300 - p**6/600 + p**5/150 + p**4/6 + p. Let j(a) be the third derivative of o(a). What is c in j(c) = 0?
1, 2
Find h, given that -41*h**3 - 2*h**2 + h**5 + 45*h**3 - 2 + 0*h**4 - 5*h + 4*h**4 = 0.
-2, -1, 1
Suppose 4*o**3 - 2 - 4*o**2 + 3 + 0*o**3 - 4*o + 3 = 0. What is o?
-1, 1
Let y(k) be the third derivative of k**8/3360 - k**7/840 + k**6/720 - k**3/2 + 3*k**2. Let u(l) be the first derivative of y(l). Suppose u(m) = 0. Calculate m.
0, 1
Let r(u) be the third derivative of -u**5/75 + 5*u**4/24 - u**3/5 + 4*u**2 - 1. Factor r(x).
-(x - 6)*(4*x - 1)/5
Let b(t) be the second derivative of 1/2*t**3 - t**2 + 0 + 1/80*t**5 - 1/8*t**4 - 2*t. Determine m so that b(m) = 0.
2
Factor -1/3*r**2 - 1/3 - 2/3*r.
-(r + 1)**2/3
Suppose -7*i - 47 = -194. Suppose 8*p = 3*p. Factor -21*g - 1 + p*g + 6*g**2 + i*g**3 - 5.
3*(g - 1)*(g + 1)*(7*g + 2)
Let g(n) = -23*n**3 - n**2 - n - 3. Let a be g(-2). Let f = a - 892/5. Factor 0 + f*p**2 - 3/5*p**4 + 1/5*p**5 + 1/5*p**3 - 2/5*p.
p*(p - 2)*(p - 1)**2*(p + 1)/5
Suppose 0 = 7*b - 4*b + 51. Let i be (-21 - b)/(1 - 7). Find f such that 7/3*f - i + 3*f**2 = 0.
-1, 2/9
Factor 0 + 0*d - 2/13*d**3 - 2/13*d**2.
-2*d**2*(d + 1)/13
Let b be 99/54 + (-1)/3. Find m such that 0 + 3/2*m**4 - b*m**2 - 3/2*m**3 + 3/2*m = 0.
-1, 0, 1
Suppose -52 - 26 = -3*p. Let a = p + -101/4. Factor 3/4*r**3 - a*r**2 + 1/4*r + 0 - 1/4*r**4.
-r*(r - 1)**3/4
Let g be (-1)/((-2)/(3 + -1)). Factor 5 - g - 4*q**2 + 4*q**2 + 6*q + 2*q**2.
2*(q + 1)*(q + 2)
Let x(f) be the first derivative of -f**6/10 + 3*f**5/25 + 9*f**4/20 - f**3/5 - 3*f**2/5 + 32. What is b in x(b) = 0?
-1, 0, 1, 2
Let a be 7 - (-2 + 1 + 4). Factor -5*w**4 + 4*w**4 - 5*w**3 - a*w - 8*w**2 + 0*w**4.
-w*(w + 1)*(w + 2)**2
Let d(n) be the third derivative of 0 + 0*n**4 - 1/180*n**5 - n**2 + 0*n + 1/18*n**3. Factor d(v).
-(v - 1)*(v + 1)/3
Let o(r) be the third derivative of -7*r**8/6 - 13*r**7/3 - 31*r**6/6 - 7*r**5/6 + 5*r**4/3 + 4*r**3/3 + r**2. Suppose o(q) = 0. Calculate q.
-1, -2/7, 1/4
Let a(b) be the third derivative of 0*b - 1/20*b**5 + 2*b**2 + 0 + 0*b**4 + 1/40*b**6 + 0*b**3. Let a(u) = 0. Calculate u.
0, 1
Let r(j) be the first derivative of 0*j - 1/10*j**5 - 5 - 1/6*j**3 + 0*j**2 + 1/4*j**4. Find f, given that r(f) = 0.
0, 1
Suppose -11*b + 9*b = 0. Let j(m) be the third derivative of m**2 + b - 1/150*m**5 + 0*m + 1/15*m**3 + 0*m**4. Factor j(l).
-2*(l - 1)*(l + 1)/5
Let t(p) be the third derivative of p**7/210 - p**6/20 + p**5/15 + p**4/4 - 5*p**3/6 - 33*p**2. Solve t(s) = 0.
-1, 1, 5
Factor 1/2*j - 2/3*j**2 + 1/6.
-(j - 1)*(4*j + 1)/6
Solve 24 + 0*d**4 + 60*d + 3*d**4 + 0*d**4 + 21*d**3 + 54*d**2 = 0 for d.
-2, -1
Let m(a) be the second derivative of 1/3*a**3 - 1/6*a**4 + 1/180*a**6 - 3*a + 0*a**2 - 1/60*a**5 + 0. Let c(v) be the second derivative of m(v). Factor c(r).
2*(r - 2)*(r + 1)
Let 2/13*q**3 + 4/13*q**2 - 2/13*q**4 + 0*q + 0 = 0. What is q?
-1, 0, 2
Suppose 0 = -p + 5 - 2. Factor 4*d**2 - 6*d**p - d**2 + 3*d**3 + 3*d - 3.
-3*(d - 1)**2*(d + 1)
Let y be 2 - (-19)/6 - 27/162. Let x(o) be the first derivative of -12/5*o**y + 3/7*o**2 + 0*o + 3/7*o**3 - 2 - 81/28*o**4. Solve x(k) = 0.
-1, -1/4, 0, 2/7
Let d = 3 + -3. Factor 1/4*a + 0*a**2 + d -