5 - -5) - (-13)/15. Find f such that -2/9*f**2 - u*f**3 - 4/9*f**5 + 10/9*f**4 + 0 + 2/9*f = 0.
-1/2, 0, 1
Let q(p) = -9*p**4 - 9*p**2 + 6*p. Let t(o) = -5*o**3 - o**2 - o**4 + 0*o**2 + 6*o**3 + o. Let h(a) = -q(a) + 6*t(a). Find j, given that h(j) = 0.
-1, 0
Let h(i) be the third derivative of -i**5/15 + 7*i**4/3 - 98*i**3/3 + 72*i**2. Solve h(j) = 0 for j.
7
Let r be ((-78)/325)/(1/(-10)). Suppose -18/5 - 2/5*i**2 - r*i = 0. What is i?
-3
Let j(p) be the first derivative of 9/7*p**2 + 2 - 4/7*p - 8/7*p**3 + 2/7*p**4. Find i such that j(i) = 0.
1/2, 2
Let q(n) = 0*n**2 + 3*n**3 - 4*n**2 - 3*n - 2 + 4*n**2. Let x(c) = -10*c**3 + 9*c + 6. Let l(r) = 7*q(r) + 2*x(r). Determine w, given that l(w) = 0.
-1, 2
Suppose 0 = 5*w - 2*f, -4*w - 6*f = -f. Determine d so that d**2 - 8*d**2 + 6*d**2 - 4*d + w*d**2 - 4 = 0.
-2
Let o(l) be the first derivative of 1/22*l**4 - 2/11*l + 2/33*l**3 - 1 - 1/11*l**2. Factor o(x).
2*(x - 1)*(x + 1)**2/11
Let -2/3*p**2 + 4/3*p + 0 = 0. Calculate p.
0, 2
Let l(g) be the third derivative of g**6/120 + g**5/40 - g**4/4 - g**3/3 - 4*g**2. Let r(c) be the first derivative of l(c). Factor r(u).
3*(u - 1)*(u + 2)
Let j(t) be the third derivative of -t**7/6930 + t**6/1320 - t**5/660 - 5*t**4/24 - 7*t**2. Let g(l) be the second derivative of j(l). Factor g(k).
-2*(k - 1)*(2*k - 1)/11
Determine t so that -6/5*t**4 + 0 + 3/5*t - 3/5*t**5 + 6/5*t**2 + 0*t**3 = 0.
-1, 0, 1
Let n be (2 - 44/42) + 54/(-81). Find q, given that 2/7*q + 2/7*q**2 - n*q**3 - 2/7 = 0.
-1, 1
Suppose 10*j**2 - 13*j + 10*j - 3*j - 4 = 0. Calculate j.
-2/5, 1
Let q be 0 - ((-15)/(-6))/(-5). Factor q - 1/4*v**2 - 1/4*v.
-(v - 1)*(v + 2)/4
Let c be (8/10)/((-2)/10). Let q be c/(-20) - (-14)/5. Find h such that -2*h**3 + h + 3*h**2 - 5*h**2 + 3*h**q = 0.
0, 1
Let m be 30/(-9) + (7 - 3). Let b(p) be the first derivative of m*p**3 - p**2 - 1/6*p**4 + 2/3*p - 1. Factor b(v).
-2*(v - 1)**3/3
Let r be (-23428)/112 - 3/12. Let u = 210 + r. Factor 0 + 2/7*n**2 - u*n.
2*n*(n - 2)/7
Let a = -35 + 39. Let r(l) be the second derivative of a*l**2 + 35/2*l**4 + 0 - 343/30*l**6 + 38/3*l**3 - l + 49/20*l**5. Determine d so that r(d) = 0.
-2/7, 1
Let g = 2488/2919 + 2/417. Suppose 0 + 0*w**2 - g*w**4 - 4/7*w**3 + 0*w - 2/7*w**5 = 0. Calculate w.
-2, -1, 0
Let h(i) be the second derivative of -2*i**7/21 - 2*i**6/15 + 2*i**5/5 + 2*i**4/3 - 2*i**3/3 - 2*i**2 - 9*i. Let h(p) = 0. What is p?
-1, 1
Let w(h) = -10*h**2 + 19*h - 2. Let p(j) = -3*j**2 + 6*j - 1. Let z(b) = 14*p(b) - 4*w(b). Factor z(o).
-2*(o - 3)*(o - 1)
Let v(p) = -p**5 + p**3 - p**2. Let c(t) = 8*t**5 - 4*t**4 - 2*t**3 + 5*t**2. Let w(y) = 2*c(y) + 14*v(y). What is r in w(r) = 0?
0, 1, 2
Let f(g) = 11*g**3 - g**2 - g + 1. Let c be f(1). Let r = 10 - c. Factor r - 6/5*x**2 + 4/5*x + 2/5*x**3.
2*x*(x - 2)*(x - 1)/5
Let z be (-4)/20 - (-93)/165. Factor -z*o**2 - 2/11*o**5 + 0 + 2/11*o + 0*o**3 + 4/11*o**4.
-2*o*(o - 1)**3*(o + 1)/11
Let t be (-168)/540*(-6)/7. Let r(s) be the second derivative of -2*s + 1/30*s**4 + t*s**3 + 4/5*s**2 + 0. Find o, given that r(o) = 0.
-2
Let b(k) be the first derivative of k**4/14 + 4*k**3/21 - k**2 + 8*k/7 + 2. Factor b(c).
2*(c - 1)**2*(c + 4)/7
Let j(s) be the second derivative of s**4/12 - 5*s**3/6 - s + 14. Factor j(n).
n*(n - 5)
Let x(o) be the third derivative of -o**5/30 + 5*o**4/12 + 23*o**2. Factor x(h).
-2*h*(h - 5)
Let s = -19/2 + 10. Let u(o) be the first derivative of 0*o - 3/4*o**4 - s*o**2 - 1 + 2/3*o**6 + o**5 - 5/3*o**3. Let u(z) = 0. Calculate z.
-1, -1/4, 0, 1
Let v(b) = 16*b**3 - 4*b**2 - 15*b + 2. Let z = -2 - -1. Let j(l) = -l**3 + l**2 + 1. Let f(p) = z*j(p) - v(p). Determine i so that f(i) = 0.
-1, 1/5, 1
Let i = 379 + -3011/8. Factor -i*d - 3/4*d**4 + 3/4 + 3/8*d**5 - 3/4*d**3 + 3*d**2.
3*(d - 1)**4*(d + 2)/8
Let s(r) be the third derivative of -r**5/150 + r**4/20 - 2*r**3/15 + r**2 + 5*r. Factor s(o).
-2*(o - 2)*(o - 1)/5
Let n(y) be the first derivative of -5*y**7/42 - 3*y**6/8 - 2*y**5/5 - y**4/6 + y**2/2 - 3. Let x(d) be the second derivative of n(d). Factor x(t).
-t*(t + 1)*(5*t + 2)**2
Let h(l) be the third derivative of l**6/80 + l**5/10 + 5*l**4/16 + l**3/2 + 2*l**2. Solve h(c) = 0 for c.
-2, -1
Factor 1/7*q**3 + 1/7*q**2 - 1/7*q**4 - 1/7*q**5 + 0 + 0*q.
-q**2*(q - 1)*(q + 1)**2/7
Let d(t) = 2*t**2 - 8*t - 6. Let o(u) be the second derivative of -u**4/4 + 3*u**3/2 + 7*u**2/2 - 3*u. Let c = 9 + -5. Let s(x) = c*o(x) + 5*d(x). Factor s(m).
-2*(m + 1)**2
Let i(n) be the second derivative of -n + 0 + 1/10*n**6 + 0*n**2 - 1/4*n**4 + 3/20*n**5 - 1/2*n**3. What is z in i(z) = 0?
-1, 0, 1
Let y(z) be the second derivative of z**10/90720 - z**9/15120 + z**8/6720 - z**7/7560 + z**4/12 + 11*z. Let j(x) be the third derivative of y(x). Factor j(d).
d**2*(d - 1)**3/3
Factor -32*m - 2*m**2 + 2*m**3 + 32*m.
2*m**2*(m - 1)
Suppose -6 = 3*k - 4*w, -5*w + 19 = 2*k - 0*k. Suppose 3*j + 4*z = 0, 0 = -4*z + k*z. What is v in 0 - 1/2*v**5 + j*v - 1/2*v**2 - 3/2*v**4 - 3/2*v**3 = 0?
-1, 0
Let t(o) be the first derivative of -3*o**4/4 - 2*o**3 + 3. Factor t(a).
-3*a**2*(a + 2)
Let p(f) be the first derivative of -4*f**3/3 - 6*f**2 - 8*f - 28. Factor p(h).
-4*(h + 1)*(h + 2)
Let n(v) be the first derivative of 3/2*v**2 - 2 - v**3 + 6*v. Factor n(h).
-3*(h - 2)*(h + 1)
Let c be (-2 + 1)*(-3)/1. Let y(p) = 2*p. Let u be y(1). Let 2*v + v**c - v + 0*v**2 + 2*v**u = 0. Calculate v.
-1, 0
Suppose -4*u + u = 7*u. Let d(f) be the third derivative of -1/45*f**5 - 4*f**2 - 1/27*f**3 + u*f - 1/27*f**4 + 0 - 1/945*f**7 - 1/135*f**6. Factor d(i).
-2*(i + 1)**4/9
Let j(b) = b**2 - 12*b - 11. Let f be j(13). Determine l so that 5 - f*l**2 + 3 + 0 = 0.
-2, 2
Factor -4 - 514*i + 8*i**2 + 514*i - 4*i**4.
-4*(i - 1)**2*(i + 1)**2
Factor -4/9 + 14/9*b + 2*b**2.
2*(b + 1)*(9*b - 2)/9
Let l(u) = -45*u**5 + 78*u**4 - 50*u**3 + 2*u**2. Suppose -7*q = -2*q - 5. Let m(z) = z**3 + z**2. Let n(k) = q*l(k) + 6*m(k). Suppose n(f) = 0. What is f?
0, 2/5, 2/3
Let u(o) be the second derivative of -o**8/10080 + o**7/1890 + o**6/1080 - o**5/90 - o**4/12 + 2*o. Let p(r) be the third derivative of u(r). Factor p(s).
-2*(s - 2)*(s - 1)*(s + 1)/3
Let v(l) = l + 0*l - 1 + 0*l. Let x(h) be the second derivative of -h**5/10 + h**4/6 - 5*h**3/6 + 5*h**2/2 - 3*h. Let r(w) = -5*v(w) - x(w). Factor r(a).
2*a**2*(a - 1)
Let s(g) = g + 3. Let x be s(-12). Let a be (-1)/(-4)*x/(-3). Find d, given that 3/4*d**2 + a*d + 0 = 0.
-1, 0
Let z(t) be the first derivative of 1/4*t - 1/16*t**4 - 1/12*t**3 + 1/8*t**2 + 4. What is x in z(x) = 0?
-1, 1
Let g(z) = 3*z**2 - 2*z + 8*z - 6 - 3*z**3 + 2*z**3. Let p be g(4). Determine j so that 6*j**2 - 21*j**3 - j**p - 4*j**2 + 5*j**2 = 0.
0, 2/7
Factor 1/6*d**2 + 1/6*d**3 + 0 - 1/6*d**4 + 0*d - 1/6*d**5.
-d**2*(d - 1)*(d + 1)**2/6
Factor 2/3*u**3 + 6*u - 4*u**2 + 0.
2*u*(u - 3)**2/3
Let b = -4 - -1. Let q be ((-16)/(-28))/(-1 - b). Factor 4/7 + q*t**2 - 6/7*t.
2*(t - 2)*(t - 1)/7
Let j(b) be the first derivative of -b**6/21 + 4*b**5/35 + b**4/2 + 8*b**3/21 + 11. Find c, given that j(c) = 0.
-1, 0, 4
What is f in 128/3*f - 32/3 - 46*f**2 - 5/3*f**4 + 47/3*f**3 = 0?
2/5, 1, 4
Suppose -6 = -4*b + 2*b. Suppose l - 2*v = -2, 0 = b*l - 4*l - 3*v + 8. Solve n**3 - 2 - 3*n**3 + 8*n**2 + 2*n - 3*n - 3*n**l = 0.
-1/2, 1, 2
Let z(f) be the second derivative of f**6/45 - f**5/15 - f**4/18 + 2*f**3/9 + 5*f. Factor z(w).
2*w*(w - 2)*(w - 1)*(w + 1)/3
Suppose 13*y + 48*y**3 - 60*y**5 - 13*y - 16*y**2 + 4*y**4 = 0. What is y?
-1, 0, 2/5, 2/3
Let l be ((-4)/(-4))/(1/3). Let o = l - 1. Find h, given that -o*h**2 + 25*h - 12*h - 11*h = 0.
0, 1
Let b(n) = n**3 - 5*n**2 - 4*n - 8. Let x be b(6). Factor -4*g**x - 4*g + 2*g**4 + g**5 + g**5 - 6*g**3 + 10*g**2.
2*g*(g - 1)**3*(g + 2)
Let c(g) be the first derivative of 1/24*g**6 + 0*g - 2 + 0*g**2 + 1/20*g**5 + 0*g**3 + 0*g**4. Let c(b) = 0. Calculate b.
-1, 0
Let m be 24/(24/4)*(-1)/(-2). Factor 4/15*x**3 - 2/5*x**5 + 0*x**m + 0 + 0*x - 2/15*x**4.
-2*x**3*(x + 1)*(3*x - 2)/15
Let s(y) be the third derivative of y**6/360 - y**5/180 - y**4/72 + y**3/18 + 15*y**2. Factor s(k).
(k - 1)**2*(k + 1)/3
Let o(x) be the first derivative of 3*x**4/28 + x**3/7 + 4. Suppose o(a) = 0. Calculate a.
-1, 0
Let b = -1 + 18. Let i be 0/2 - (-17 + b). Determine k so that 1/3 + i*k