 be the first derivative of 1 + 2/5*k**5 - k**4 + 0*k + 0*k**2 + 2/3*k**3. Suppose c(i) = 0. Calculate i.
0, 1
Let u be (13/2)/((-7)/(-14)). Suppose g**4 + 5*g**3 + 8*g**2 + 12*g - 4*g**5 - 13*g**4 + 4 - u*g**3 = 0. Calculate g.
-1, 1
Find u, given that 4*u - 4*u**3 - u**4 + 5*u**4 + 0*u - 4*u**2 = 0.
-1, 0, 1
Let n(w) be the third derivative of -1/8*w**4 + 0*w**3 - 1/60*w**5 + 0*w + 0 + 1/210*w**7 + 1/40*w**6 - w**2. Find x, given that n(x) = 0.
-3, -1, 0, 1
Let k(r) = 2*r**5 + 3*r**4 - 2*r**3 + 2*r**2. Let b(i) = -i**4. Let g(v) = -5*b(v) - k(v). Suppose g(m) = 0. Calculate m.
-1, 0, 1
Let p(g) be the second derivative of -g**8/3920 - 3*g**7/1960 - g**6/280 - g**5/280 - g**3/6 - 8*g. Let r(n) be the second derivative of p(n). Factor r(j).
-3*j*(j + 1)**3/7
Let w be 6 + 1 + -5 - (-59)/(-42). Let g(m) be the second derivative of -2*m - 4/7*m**2 + 0 - w*m**4 + 20/21*m**3. Factor g(v).
-2*(5*v - 2)**2/7
Let r(m) be the second derivative of 3*m**5/160 - 5*m**4/32 - 3*m**3/8 - 54*m. Find o, given that r(o) = 0.
-1, 0, 6
Let m(d) be the first derivative of 1/5*d**2 + 1/60*d**4 + 1 - 1/10*d**3 + 4*d. Let b(u) be the first derivative of m(u). Factor b(r).
(r - 2)*(r - 1)/5
Let u(b) be the second derivative of 2*b**7/3 + 4*b**6/15 - 14*b**5/5 - 4*b**4/3 + 14*b**3/3 + 4*b**2 + 9*b. Solve u(l) = 0.
-1, -2/7, 1
Let b(x) = -4*x**4 + 4*x**2 + 2*x + 2. Let d(f) = -9*f**4 + f**3 + 9*f**2 + 4*f + 5. Let y(k) = -5*b(k) + 2*d(k). Factor y(c).
2*c*(c - 1)*(c + 1)**2
Suppose -4*r = 6 + 10, 0 = 4*k - 3*r + 12. Let z be k/(-21) - (-4)/(-14). Let z*n + 2/9*n**2 - 2/9 = 0. What is n?
-1, 1
Let b(z) be the third derivative of -z**7/315 - z**6/60 + z**5/6 - 17*z**4/36 + 2*z**3/3 + 20*z**2 - 1. Solve b(m) = 0 for m.
-6, 1
Let j(d) be the second derivative of -d**4/12 + d**2/2 + 8*d. Let x(c) = -15*c**3 - 15*c**2 - 3*c - 3. Let m(s) = -9*j(s) - x(s). Factor m(p).
3*(p + 1)**2*(5*p - 2)
Factor 52/5*s**2 - 16/5 - 14/5*s**3 - 8*s.
-2*(s - 2)**2*(7*s + 2)/5
Let w(d) = 2*d - 9. Let a be w(6). Let p(s) = -s**3 + 3*s**2 + 4. Let l be p(a). Factor 5/2*k**3 - 1 - 1/2*k**l - 9/2*k**2 + 7/2*k.
-(k - 2)*(k - 1)**3/2
Let i = 8 + -19. Let d(j) = j**2 + 11*j + 3. Let z be d(i). Factor -4/7*g**z + 6/7*g**2 - 2/7*g + 0.
-2*g*(g - 1)*(2*g - 1)/7
Let d be 16 + -11 - 3/1. Suppose 0 = d*m + m. Factor 0 + 4/5*w**2 - 8/5*w**4 + 6/5*w**5 + m*w - 2/5*w**3.
2*w**2*(w - 1)**2*(3*w + 2)/5
Let x = -4101/11 - -373. Suppose x*p**4 + 2/11*p**2 + 0*p + 0 + 4/11*p**3 = 0. What is p?
-1, 0
Let c(q) be the third derivative of -1/240*q**5 + 1/840*q**7 + 0 + 0*q**3 - 1/96*q**4 - 5*q**2 + 1/480*q**6 + 0*q. Factor c(k).
k*(k - 1)*(k + 1)**2/4
Find n such that 0*n**2 - 3/2*n + 3/2*n**3 + 0 = 0.
-1, 0, 1
Let r be -4 - (76/(-12) - -2). Let w be (1/(-3))/(1/(-6)). Solve 2*h**w + r*h**4 + 1/3 - 4/3*h**3 - 4/3*h = 0.
1
Let u(p) be the second derivative of 2*p**7/189 - p**6/15 + 8*p**5/45 - 7*p**4/27 + 2*p**3/9 - p**2/9 + 9*p. Factor u(d).
2*(d - 1)**4*(2*d - 1)/9
Let o be (8/(-5))/(8/(-20)). Factor 9/5*a**3 + 0*a - 3/5*a**2 + 12/5*a**o + 0.
3*a**2*(a + 1)*(4*a - 1)/5
Let f(i) = 4*i**3 - 2*i**2 + 2*i - 1. Suppose 5 = 3*d - 2*k, 2*k - 2 = -4. Let x be f(d). Factor x - 3 - z**2.
-z**2
Let j(h) = -2*h**2 - h + 20. Let r(y) = y**2 - 10. Let z(s) = -3*j(s) - 5*r(s). Factor z(w).
(w - 2)*(w + 5)
Let r(a) be the third derivative of 1/90*a**5 + 0*a - 1/72*a**6 + 3*a**2 - 1/90*a**7 + 0*a**4 + 0 + 0*a**3. Determine g so that r(g) = 0.
-1, 0, 2/7
Let l(m) be the third derivative of 0*m + 1/390*m**6 + 0 - 1/39*m**3 - 1/78*m**4 + 4*m**2 + 0*m**5 + 1/1365*m**7. Solve l(w) = 0.
-1, 1
Let y = 72/49 - -3/98. Suppose 3/2*k - 3/2*k**2 - y*k**3 + 3/2 = 0. What is k?
-1, 1
Let o(k) = -k**4 + k**3 + k**2 + k + 1. Let g(t) = -3*t**4 + 21*t**3 + 49*t**2 + 53*t + 23. Let u(y) = g(y) - 5*o(y). Find r, given that u(r) = 0.
-3, -1
Suppose -y = -5*f + 10, 4*f - 18 = -4*y + 14. Solve -2/9*i**2 + 2/9*i**4 - 2/9*i**f + 0 + 2/9*i = 0 for i.
-1, 0, 1
Let j = -216 - -433/2. Find y such that -9/2 - 3*y - j*y**2 = 0.
-3
Let m(i) = -5*i**4 + 11*i**3 - 3*i**2 - 29*i + 35. Let v(s) = -4*s**4 + 10*s**3 - 2*s**2 - 30*s + 34. Let u(c) = 2*m(c) - 3*v(c). Factor u(l).
2*(l - 2)**3*(l + 2)
Let o(d) be the second derivative of 1/5*d**6 - 10*d**3 + 7/5*d**5 + 2/3*d**4 + 0 + 9*d**2 + 5*d. Suppose o(j) = 0. What is j?
-3, 1/3, 1
Let j(z) be the third derivative of 49/300*z**6 + 0*z + 1/15*z**4 - 4*z**2 + 0 + 14/75*z**5 + 0*z**3. Let j(g) = 0. Calculate g.
-2/7, 0
Let l be 164/180 - (-3)/(-27). Find x, given that 4/5*x**2 + 2/5*x**5 + 0 + 0*x**3 - 2/5*x - l*x**4 = 0.
-1, 0, 1
Let h be (-2)/(-12) - (-303)/18. Suppose -21*j**2 + h*j**2 + 4 + 4*j - 4*j = 0. Calculate j.
-1, 1
Let c(w) = w + 15. Let v be c(-13). Suppose -v*t = -6*t. Suppose -2/9*l**5 - 2/3*l**3 + t*l + 2/3*l**4 + 2/9*l**2 + 0 = 0. Calculate l.
0, 1
Let g(o) be the second derivative of o**10/10080 - o**8/2240 - 7*o**4/12 + 5*o. Let t(b) be the third derivative of g(b). Solve t(a) = 0.
-1, 0, 1
Factor -11/8*f**3 + 3/8*f**4 + 1/4 - 9/8*f + 15/8*f**2.
(f - 1)**3*(3*f - 2)/8
Let p(c) be the second derivative of c**4/9 + 4*c**3/9 + 2*c**2/3 + 8*c. Factor p(z).
4*(z + 1)**2/3
Determine s, given that -4/7*s**5 - 2*s**4 + 2*s + 4/7 - 10/7*s**3 + 10/7*s**2 = 0.
-2, -1, -1/2, 1
Let i be (2 + -1)*-2*4/(-32). Factor -1/4*w - 1/4 + 1/4*w**2 + i*w**3.
(w - 1)*(w + 1)**2/4
Factor -75 + 42*j - 40*j + 28*j - 3*j**2.
-3*(j - 5)**2
Let g = -4 - -6. Suppose 2/3*h - 2/3*h**g + 2/9*h**3 - 2/9 = 0. Calculate h.
1
Let b(t) be the first derivative of -3 - 1/9*t**3 - 4/3*t - 2/3*t**2. Find q such that b(q) = 0.
-2
Let a(g) be the second derivative of 5*g**4/6 + 13*g**3/3 - 6*g**2 + 8*g. Determine x so that a(x) = 0.
-3, 2/5
Factor -3/2*f + 1 + 1/2*f**2.
(f - 2)*(f - 1)/2
Let y = 556/143 - 60/13. Let j = y - -101/33. Determine b so that 0 + 5/3*b**2 - j*b**3 + 2/3*b = 0.
-2/7, 0, 1
Let f = 116 - 927/8. Let z(j) be the first derivative of f*j**2 + 0*j - 2 + 0*j**3 - 1/16*j**4. Find l, given that z(l) = 0.
-1, 0, 1
Let j(k) be the third derivative of -k**8/6720 + k**6/480 + k**5/240 - k**3/3 - 2*k**2. Let p(s) be the first derivative of j(s). Suppose p(y) = 0. Calculate y.
-1, 0, 2
Let l(q) be the second derivative of -11/5*q**5 - 7/3*q**3 - 13/15*q**6 - 3*q**4 + 0 - q**2 + q - 1/7*q**7. Factor l(a).
-2*(a + 1)**4*(3*a + 1)
Let i = 6932/105 + -66. Let g(n) be the second derivative of 1/21*n**4 + 0 + n + 0*n**2 + 1/21*n**3 + 0*n**5 - i*n**6 - 1/147*n**7. Factor g(h).
-2*h*(h - 1)*(h + 1)**3/7
Let w(x) be the first derivative of 2*x**3/15 - 8*x/5 + 7. Factor w(m).
2*(m - 2)*(m + 2)/5
Let a(d) be the first derivative of d**4/24 - 7*d**3/18 + 5*d**2/4 - 3*d/2 + 11. Determine l, given that a(l) = 0.
1, 3
Let g be (-172)/(-531) - (-6)/(-27). Let w = g - -88/295. Solve 0*x**2 - 4/5*x**4 - w*x**5 - 2/5*x**3 + 0 + 0*x = 0.
-1, 0
Let n(i) be the second derivative of i**6/24 + 7*i**5/80 - i**4/16 - 7*i**3/24 - i**2/4 - 26*i. Factor n(w).
(w - 1)*(w + 1)**2*(5*w + 2)/4
Let p = 49 - 143/3. Suppose -p*b**3 - 4/3*b**2 + 2/3 + 2/3*b + 2/3*b**4 + 2/3*b**5 = 0. Calculate b.
-1, 1
Let r(o) = -2*o**3 - 360*o**2 + 2897*o - 7680. Let f(x) = x**3 + 120*x**2 - 966*x + 2560. Let d(c) = 17*f(c) + 6*r(c). Factor d(b).
5*(b - 8)**3
Let z(r) be the first derivative of -r**5/20 + 3*r**4/8 - r**3 + 3*r**2/2 + 1. Let b(f) be the second derivative of z(f). Factor b(n).
-3*(n - 2)*(n - 1)
Suppose 3*f - 1 = 5*m + 18, f - 5*m - 13 = 0. Suppose 3*p + 5*u = -20 + 1, f*p + 9 = -3*u. Factor -5*b**2 - 4*b**3 - p*b**4 + 2*b + 2*b**3 + 7*b**4 + 0*b**3.
b*(b - 1)*(b + 1)*(5*b - 2)
Let b(y) = y + 2. Let o be b(-2). Suppose -3*a + o*a**3 + 3*a - a**3 = 0. What is a?
0
Let b = 184 - 1286/7. Factor 4/7*s**2 - b*s**3 + 2/7*s - 4/7.
-2*(s - 2)*(s - 1)*(s + 1)/7
Let b be 4/24*(-63)/6 + 2. Let 0 - 1/4*v - b*v**2 = 0. What is v?
-1, 0
Let f(x) = 9*x**3 + 11*x**2 - 20*x. Let a(l) = -6*l**3 - 7*l**2 + 13*l. Let d(g) = -7*a(g) - 5*f(g). Factor d(b).
-3*b*(b - 1)*(b + 3)
Let c(v) be the second derivative of v**6/45 + v**5/15 - 2*v**3/9 - v**2/3 - 3*v. Suppose c(r) = 0. What is r?
-1, 1
Solve 2/9*a**4 + 4/9*a + 0 - 2/3*a**2 + 0*a**3 = 0.
-2, 0, 1
Let g(c) be the first derivative of 2*c**3/9 + c**2 + 4*c/3 + 4. Factor g(d).
2*(d + 1)*(d + 2)/3
Factor -2*p**4 - 2*p**3 + 0*p**2 - 3*p**2 +