, given that q(u) = 0.
-2, -1, 1
Let z(g) be the third derivative of 0*g + 0*g**6 + 1/45*g**5 + 1/36*g**4 - 4*g**2 + 0*g**3 - 2/315*g**7 + 0 - 1/504*g**8. Solve z(q) = 0 for q.
-1, 0, 1
Determine z so that -1/3 - 1/6*z**2 + 1/2*z = 0.
1, 2
Let m = 67/56 + -3/56. Let -8/7*q + 2/7*q**2 + m = 0. Calculate q.
2
Let w(n) be the second derivative of 4*n**5/25 + n**4/3 + n**3/15 - n**2/5 - 8*n. Suppose w(a) = 0. What is a?
-1, -1/2, 1/4
Let k(g) = -g + 3. Let j be k(3). Let x = 0 + j. Find v, given that x + v**4 + 0*v**4 - 2*v**2 + 1 = 0.
-1, 1
Let n(y) be the first derivative of -y**6/120 + y**4/48 - 4*y - 4. Let t(g) be the first derivative of n(g). Solve t(h) = 0 for h.
-1, 0, 1
Let z(b) = b. Let k be z(2). Suppose -f = -3*f + 5*t, -3*t = -k*f. Factor f*x**2 - 3*x**3 + x**5 + x**3 + x**5 + 2*x**2 - 2*x**4.
2*x**2*(x - 1)**2*(x + 1)
Let s(k) be the second derivative of -k**7/11340 + k**6/1080 - 3*k**4/4 - 8*k. Let f(g) be the third derivative of s(g). Factor f(p).
-2*p*(p - 3)/9
Let c(l) be the first derivative of -49*l**3/15 - 14*l**2/5 - 4*l/5 + 4. Factor c(x).
-(7*x + 2)**2/5
Let l(c) be the first derivative of 0*c + 3/4*c**4 + 1/2*c**2 + 4/3*c**3 - 1. Factor l(i).
i*(i + 1)*(3*i + 1)
Let d(z) be the first derivative of 2/27*z**3 + 8/9*z + 3 - 4/9*z**2. Factor d(q).
2*(q - 2)**2/9
Let z be (54/(-28))/(3 - 60/16). Find k, given that 4/7*k - 54/7*k**4 + 40/7*k**5 + 0 + z*k**2 - 8/7*k**3 = 0.
-2/5, -1/4, 0, 1
Let o(d) be the second derivative of -1/42*d**7 + 1/6*d**3 - 1/6*d**4 + 0*d**2 + 1/15*d**6 + 0*d**5 - 3*d + 0. Determine m, given that o(m) = 0.
-1, 0, 1
Let m = 148 - 95. Let s = m + -211/4. Suppose 1/4*d**4 - s*d**3 + 0 + 0*d**2 + 0*d = 0. Calculate d.
0, 1
Let y(w) be the first derivative of 4*w**5/5 - 4*w**3 + 4*w**2 - 2. Solve y(c) = 0 for c.
-2, 0, 1
Let l = -46 + 51. Suppose -4/5*w**2 - 2/5*w**l - 2/5*w + 4/5*w**3 + 2/5*w**4 + 2/5 = 0. What is w?
-1, 1
Let y = -929/2 + 452. Let i = -12 - y. Find g, given that -1 - i*g + 2*g**3 + 3*g**2 - 3/2*g**5 - 2*g**4 = 0.
-1, 2/3, 1
Factor 2*z**3 + 6*z**2 - 3*z - 7*z**3 + 2*z**3.
-3*z*(z - 1)**2
Let f be (12/((-6)/(-2)))/(-2). Let v be f*1 + -1 + 7. Factor -4 - 2*q**2 + 4 + v*q**2 + 6*q.
2*q*(q + 3)
Let j = -30 - -32. Suppose -j*s - 5*n - 9 = 0, -s - 3*n = -2*s + 12. Let 0 + 6/5*x**4 + 0*x + 4/5*x**s - 2/5*x**2 = 0. Calculate x.
-1, 0, 1/3
Solve -8*x + 20*x**4 + 32*x**3 + 0*x**2 - x**2 + 5*x**2 = 0.
-1, 0, 2/5
Let t(f) be the first derivative of -3/7*f**2 - 2/7*f - 5 - 2/7*f**3 - 1/14*f**4. Find p, given that t(p) = 0.
-1
Let x be (7/6 + -1)*-314. Let g = -1093/21 - x. Factor -g*f + 2/7*f**5 + 0 + 4/7*f**2 + 0*f**3 - 4/7*f**4.
2*f*(f - 1)**3*(f + 1)/7
Let h(f) be the first derivative of -f**4/26 + 4*f**3/39 + 4*f**2/13 - 16*f/13 + 9. Solve h(u) = 0 for u.
-2, 2
Let m be 2*2*9/12. Suppose -j - 3*y = -2, -3*y = m*j - 4*y - 16. Factor -1 - 3 + 2*k + k**2 - 4*k**2 + j*k**2.
2*(k - 1)*(k + 2)
Factor 3/5*z**4 + 0*z**2 - 6/5*z**3 + 3/5*z**5 + 0*z + 0.
3*z**3*(z - 1)*(z + 2)/5
Let x be 70/(-240) + (-1)/(-3). Let u(k) be the third derivative of x*k**4 + 0*k + k**2 - 1/120*k**5 + 0*k**3 + 0. Solve u(r) = 0.
0, 2
Suppose 0*i - 1/2 - i**3 - 3/2*i**4 + 2*i**2 + i**5 = 0. Calculate i.
-1, -1/2, 1
Let z = -7 - -15. Let i(x) be the third derivative of 0*x**4 + 0*x - 1/1008*x**z + 0*x**3 - 2*x**2 - 1/630*x**7 + 1/360*x**6 + 1/180*x**5 + 0. Solve i(a) = 0.
-1, 0, 1
Let z(w) = -w**3 - w**2 + w. Let p(m) = 4*m**5 - 22*m**3 - 18*m**2 + 10*m. Let n(y) = p(y) - 10*z(y). Find q, given that n(q) = 0.
-1, 0, 2
Let u(h) be the third derivative of -h**7/1785 + 2*h**5/255 + 46*h**2. Determine v, given that u(v) = 0.
-2, 0, 2
Let j(n) = -6*n**4 - 27*n**3 - 25*n**2 - 5*n + 3. Let k(t) = -11*t**4 - 54*t**3 - 50*t**2 - 9*t + 7. Let w(g) = -9*j(g) + 4*k(g). Factor w(z).
(z + 1)**2*(2*z + 1)*(5*z + 1)
Suppose 8*j = 3*j + 15. Factor -x**3 + 0*x**3 + x**4 - x**3 - j*x**4.
-2*x**3*(x + 1)
Let h(w) be the second derivative of -4*w**7/21 + 22*w**6/15 - 11*w**5/5 - 7*w**4/3 + 26*w**3/3 - 8*w**2 + 22*w. Let h(q) = 0. What is q?
-1, 1/2, 1, 4
Let k(b) be the second derivative of b**4/6 - 2*b**3/3 + 6*b. Find a, given that k(a) = 0.
0, 2
Let n(y) be the second derivative of -y**6/60 + y**5/15 + y**4/4 + 7*y**2/2 + 9*y. Let s(w) be the first derivative of n(w). Factor s(i).
-2*i*(i - 3)*(i + 1)
Let o(a) = 6*a**2 - 6*a - 11. Let z(r) = r**2 - r - 2. Let v(q) = 2*o(q) - 11*z(q). Let g(s) = -s + 1. Let i(u) = -4*g(u) + 4*v(u). Factor i(d).
4*(d - 1)*(d + 1)
Suppose 27 = 3*q + 6. Let n be q/2 - 1/2. Solve 0*o + 0 + 2/9*o**n + 2/9*o**5 + 0*o**2 - 4/9*o**4 = 0.
0, 1
Let q(i) be the first derivative of 4 + 0*i**2 + 0*i + 1/9*i**3. Suppose q(s) = 0. Calculate s.
0
Let j(i) be the third derivative of 3*i**2 - 1/150*i**5 - 1/1680*i**8 + 1/30*i**3 - 1/120*i**4 + 0 + 1/300*i**6 + 0*i + 1/1050*i**7. Factor j(w).
-(w - 1)**3*(w + 1)**2/5
Let d(w) be the first derivative of 6/25*w**5 - 1/15*w**6 + 3/5*w**2 - 4/15*w**3 - 2/5*w - 2 - 1/5*w**4. Factor d(n).
-2*(n - 1)**4*(n + 1)/5
Let w(u) be the third derivative of -u**8/112 + u**6/40 + u**2. Factor w(n).
-3*n**3*(n - 1)*(n + 1)
Let 2/3*w**2 + 10/3*w - 4 = 0. What is w?
-6, 1
Factor -4*j + 9*j + 78*j**2 - 79*j**2.
-j*(j - 5)
Suppose -5*u + 22 = -0*d - 3*d, -3*d = 3*u + 6. Factor -y**u + 1/3*y**4 + 2/3*y**3 + 4/3 - 4/3*y.
(y - 1)**2*(y + 2)**2/3
Let m(j) be the first derivative of j**6/165 + 3*j**5/110 + j**4/22 + j**3/33 + 4*j + 4. Let w(s) be the first derivative of m(s). Let w(d) = 0. What is d?
-1, 0
Let -380*t + 640*t**2 + 97 + 65*t**3 - 426*t**3 + 30*t**4 + 45*t**5 - 17 - 54*t**3 = 0. What is t?
-4, 2/3, 1
Factor -3*m**3 - 6*m**2 + 2*m + 2*m - 4*m.
-3*m**2*(m + 2)
Let k = -9 + 33. Let u be 44/k + 3/(-6). Determine b so that u*b - 4/3*b**2 + 0 + 1/3*b**3 = 0.
0, 2
Let f(z) be the third derivative of -z**6/80 + 3*z**4/16 - z**3/2 + 29*z**2. Suppose f(m) = 0. What is m?
-2, 1
Factor 8*r**5 + 486 + 143*r**3 + 0*r**5 + 30*r**4 + 810*r + 37*r**3 + 540*r**2 - 6*r**5.
2*(r + 3)**5
Factor 736 + 6*u - 3*u**2 - 736.
-3*u*(u - 2)
Suppose -12 = -3*s - 0. Suppose s = -0*u - u + 3*q, 2*q - 8 = 0. Suppose -4*g**3 + u*g**2 - g - 2*g**2 + 0*g - 5*g**3 = 0. What is g?
0, 1/3
Let a(m) = -27*m**3 + 36*m**2 + 105*m + 42. Let i(p) = -4*p**3 + 5*p**2 + 15*p + 6. Let c(n) = 2*a(n) - 15*i(n). Factor c(v).
3*(v - 2)*(v + 1)*(2*v + 1)
Let y = 97600/511 + -2534/73. Let s = y + -156. Let s*u**2 + 0*u - 2/7*u**4 + 0 + 0*u**3 = 0. What is u?
-1, 0, 1
Suppose -9*b + 16*b - 14 = 0. Factor 0 + f - 1/2*f**b.
-f*(f - 2)/2
Let s(l) be the third derivative of l**6/24 + l**5/12 - 7*l**3/6 + l**2. Let d(b) = 3*b**3 + 3*b**2 - 4. Let v(q) = 7*d(q) - 4*s(q). Factor v(a).
a**2*(a + 1)
Let b = -9 + 15. Suppose 8*z - b = 5*z. Factor 3*r - z*r**2 + r**2 - 4*r.
-r*(r + 1)
Determine r so that -r**3 + 1/7*r**4 + 15/7*r**2 + 0 - 9/7*r = 0.
0, 1, 3
Let q = 53/170 + 3/34. Suppose 4/5*j**2 + 0 + q*j - 6/5*j**3 = 0. What is j?
-1/3, 0, 1
Let b be 17/5 + 72/90. Factor b*k + 3*k**2 + 6/5.
3*(k + 1)*(5*k + 2)/5
Let n(l) be the second derivative of -l**8/3360 + l**7/5670 + l**6/360 - l**5/270 - l**4/3 + 4*l. Let i(y) be the third derivative of n(y). Solve i(r) = 0.
-1, 2/9, 1
Let c(l) = -l**3 + 6*l**2 - 3*l - 8. Let s be c(5). Let 2*i + 4/3 + 2/3*i**s = 0. Calculate i.
-2, -1
Let a(z) be the first derivative of 3*z**4/28 + 2*z**3/7 + 3*z**2/14 + 48. Factor a(s).
3*s*(s + 1)**2/7
Let r(a) be the first derivative of 4*a**3/3 - 6. Factor r(c).
4*c**2
Let v(b) be the third derivative of b**6/60 - b**5/3 + 23*b**4/12 - 14*b**3/3 - 58*b**2. Factor v(k).
2*(k - 7)*(k - 2)*(k - 1)
Suppose 0 - 15 = -3*c + 5*r, 4*c = 5*r + 15. Let z(s) be the third derivative of -3*s**2 - 1/90*s**5 + c*s - 2/9*s**3 + 1/12*s**4 + 0. Factor z(i).
-2*(i - 2)*(i - 1)/3
Let f(b) be the second derivative of b**8/840 + b**7/210 + b**6/180 + b**3/6 - 2*b. Let r(i) be the second derivative of f(i). Suppose r(h) = 0. What is h?
-1, 0
Let y(k) be the first derivative of 2/3*k**3 + 0*k**2 + 0*k - 2 - 1/2*k**4. Solve y(r) = 0.
0, 1
Suppose -3*q = 3*l - 0*q, q - 3 = 0. Let b be (-3)/(-84) + l/(-12). Find o, given that 2/7*o**2 + b*o + 0 = 0.
-1, 0
Let i(m) be the third derivative of -m**8/140 + m**7/150 + 19*m**6/600 - 3*m**5/100 - 7*m**4/120 + m**3/15 + 4*m**2. Suppose i(r) = 0. What is r?
-1, -2