ive of -3/7*d**2 - 7 + 4/7*d + 2/21*d**3. Factor b(o).
2*(o - 2)*(o - 1)/7
Let z(a) be the second derivative of 3/56*a**7 - 1/12*a**4 + 0 + 21*a + 3/8*a**3 + 1/60*a**6 + 1/4*a**2 - 9/40*a**5. Suppose z(h) = 0. What is h?
-1, -2/9, 1
Suppose -5 = -2*y - 1. Suppose 5*v = -3*j - y, -v - 3*j + 4*j = -6. Solve 7*t**2 - 2*t**4 - 3*t**2 + 4*t**3 - 2 - 2*t**5 - 2*t + 0*t**v = 0 for t.
-1, 1
Let t be ((-10)/10)/(1/(-4)). Let d(x) be the first derivative of 1/6*x**3 - 2 - 1/8*x**t - 1/2*x + 1/4*x**2. Factor d(g).
-(g - 1)**2*(g + 1)/2
Find a, given that -2*a**4 + 7*a**4 + 0*a**4 - 2*a**3 - 4*a**4 - 3*a**2 = 0.
-1, 0, 3
Let r be (-6)/(-8)*(6 - 2). Suppose 0 = 2*t - 1 - r. Factor h + 45*h**2 - 47*h**t - 2*h**3 - h.
-2*h**2*(h + 1)
Factor 3/8*s**3 + 63*s - 75/8*s**2 - 54.
3*(s - 12)**2*(s - 1)/8
Let i(s) be the second derivative of -s**4/9 - 2*s**3/3 + 20*s**2/3 - 6*s - 4. Find k, given that i(k) = 0.
-5, 2
Let k = 93 - 89. Determine f, given that -5*f**3 - 35*f**2 + 15*f**5 + 32*f**k - 10*f + 13*f**4 - 10*f**4 = 0.
-2, -1, -1/3, 0, 1
Let h(r) be the first derivative of -1/42*r**4 + 1/105*r**5 + 0*r**3 - 5/2*r**2 + 0*r - 6. Let j(l) be the second derivative of h(l). Factor j(d).
4*d*(d - 1)/7
Let c = 40 + -37. Factor 3*r**4 - 4*r**3 - 2*r**c + 3*r**3.
3*r**3*(r - 1)
Let i(u) = -u**3 + 2*u**2 - 3*u - 1. Let c(v) = -12*v**3 - 96*v**2 + 1143*v + 2889. Let b(m) = c(m) - 15*i(m). Determine r so that b(r) = 0.
-2, 22
Let j(w) = 2*w**2 + 12*w - 41. Let s be j(5). Suppose 74*v = s*v + 20. Let 5/2*q**v + 4*q + 15*q**2 + 0 + 27/2*q**3 = 0. Calculate q.
-4, -1, -2/5, 0
Let v(d) be the third derivative of d**7/1050 - d**6/300 - d**5/300 + d**4/60 + 362*d**2. Factor v(o).
o*(o - 2)*(o - 1)*(o + 1)/5
Let v = 133/1420 - -4/71. Let c(p) be the second derivative of 0 - 2/7*p**7 - 4*p + 0*p**4 + 0*p**3 - v*p**5 + 0*p**2 - 1/2*p**6. Factor c(i).
-3*i**3*(i + 1)*(4*i + 1)
Let a be ((175/(-10))/7)/((-1)/2). What is o in 3*o**4 - 338*o**3 - o**4 + 336*o**3 + 5*o**a + o**4 = 0?
-1, 0, 2/5
Let a(w) be the first derivative of w**4/6 - 34*w**3/9 + 80*w**2/3 - 128*w/3 + 130. Factor a(k).
2*(k - 8)**2*(k - 1)/3
Factor 11*r**2 + 3*r**4 + 54*r - 9*r**3 + 19*r**2 - 18*r - 42*r**2.
3*r*(r - 3)*(r - 2)*(r + 2)
Let n(h) = -3*h**3 - 144*h**2 - 189*h. Let q(z) = 78*z + 3*z**2 + 38*z**2 + z**3 - 24*z. Let o(r) = 5*n(r) + 18*q(r). Solve o(k) = 0.
-3, 0
Suppose 5*t = -5*w - 10, -2*t = -w + t + 14. What is n in -3*n**4 + 0*n**2 + n**3 + 2*n**4 + 0*n**w = 0?
0, 1
Let w(i) = -i**3 + 5. Let h be w(0). Let d(r) = -2*r + 2*r**2 + 3*r + h - r - r. Let f(c) = -c + 1. Let t(b) = -2*d(b) + 10*f(b). Determine p so that t(p) = 0.
-2, 0
Let x(k) be the third derivative of 5/2*k**3 - 1/20*k**6 + 0 + 16*k**2 + 11/70*k**7 - 1/56*k**8 + 0*k + 1/2*k**4 - 4/5*k**5. What is o in x(o) = 0?
-1, -1/2, 1, 5
Let b(i) be the second derivative of i**5/90 - i**4/54 - 5*i**3/27 - i**2/3 - 7*i + 4. Find h such that b(h) = 0.
-1, 3
Let p(x) be the second derivative of x**4/12 - 29*x**3/9 - 20*x**2/3 - 30*x + 7. Factor p(g).
(g - 20)*(3*g + 2)/3
Suppose -14/15*o + 14/15*o**3 + 6/5*o**2 - 4/3 + 2/15*o**4 = 0. What is o?
-5, -2, -1, 1
Let s(i) = 2*i**2 - 293*i + 2606. Let r be s(137). Factor 8/9*q**r + 4/9*q**2 - 4/9*q + 0.
4*q*(q + 1)*(2*q - 1)/9
Let m(u) = -u**3 + 2*u**2 + 2*u + 4. Let x(g) = g**2 - 9*g + 6. Let y be x(8). Let t be m(y). Factor -4 + 8*l**2 - t*l + 0 - 12 + 4*l**2.
4*(l - 2)*(3*l + 2)
What is k in 76*k + 103399*k**2 + 27 + 9 + 42 - 103401*k**2 = 0?
-1, 39
Let j(a) be the first derivative of 6*a**4/7 + 66*a**3/7 + 108*a**2/7 + 6*a + 71. Factor j(n).
6*(n + 1)*(n + 7)*(4*n + 1)/7
Find f, given that 0 - 5/2*f**3 + 0*f**2 + 10*f = 0.
-2, 0, 2
Factor -2/9*h**3 + 0 - 2/9*h - 4/9*h**2.
-2*h*(h + 1)**2/9
Let m be (-5)/(-15)*0 + -4. Let b(g) = -2*g**3 + 7*g**2 - 7*g + 2. Let l(h) = 0 + 9*h - 10*h - 1 - 3*h**2 + h**3 + 4*h. Let d(y) = m*b(y) - 9*l(y). Factor d(n).
-(n - 1)*(n + 1)**2
Let a(x) = x**2 - 14*x + 26. Suppose b - 8 - 4 = 0. Let u be a(b). Solve 0*k + 0 - 1/6*k**u + 1/3*k**3 - 1/6*k**4 = 0 for k.
0, 1
Suppose 0 = -k - 4*b - 8 - 2, -2*k = 3*b. Let m(t) be the first derivative of -2/27*t**3 - 1/18*t**4 + k + 0*t + 2/9*t**2. Factor m(y).
-2*y*(y - 1)*(y + 2)/9
Let n = -1 + 4. Factor -n + 10*t + 5*t**3 + 4*t**2 + 21*t**2 - 10*t**4 + 3.
-5*t*(t - 2)*(t + 1)*(2*t + 1)
Let c(d) be the second derivative of -d**7/14 + 3*d**6/10 - 3*d**5/10 - 40*d. Factor c(j).
-3*j**3*(j - 2)*(j - 1)
Find l such that 169*l + 8*l**2 + 12*l**3 - 185*l - 3*l**5 + l**5 - 2*l**4 = 0.
-2, 0, 1, 2
Let w(x) = -10*x**3 + 19*x**2 - x + 6. Suppose -2*v - 5*b = -22, -3*v + 1 - 2 = -b. Let t(h) = h**3 + h - 1. Let l(i) = v*w(i) + 6*t(i). Factor l(p).
-p*(p - 5)*(4*p + 1)
Let -69*q**2 + 2*q**3 - 12*q - 68*q**2 - 65*q**2 + 265*q**2 - 65*q**2 = 0. Calculate q.
-2, 0, 3
Let k = -55 + 60. Let d(z) be the third derivative of 1/360*z**6 + 0*z + 0*z**4 + 5*z**2 + 1/60*z**k + 0 + 0*z**3. Solve d(v) = 0.
-3, 0
Let d(m) be the first derivative of -m**4/20 + 14*m**3/15 + 17*m**2/10 - 6*m - 138. Find i, given that d(i) = 0.
-2, 1, 15
Let g(d) be the first derivative of 16/5*d**5 - 3 + 24*d + 0*d**4 - 2*d**2 - 40/3*d**3 + 2/3*d**6. Let g(i) = 0. Calculate i.
-3, -2, -1, 1
Let y(w) be the first derivative of 5*w**5/78 - 5*w**4/39 + 4*w**3/39 - 9*w**2 - 14. Let r(l) be the second derivative of y(l). Factor r(q).
2*(5*q - 2)**2/13
Let p(z) be the third derivative of -z**9/6048 - z**8/1120 - z**7/560 - z**6/720 - 2*z**3 - 14*z**2. Let d(b) be the first derivative of p(b). Factor d(t).
-t**2*(t + 1)**3/2
Let z(f) be the first derivative of -128/5*f - 8*f**4 - 32*f**2 - 64/3*f**3 - 8/5*f**5 - 2 - 2/15*f**6. Factor z(l).
-4*(l + 2)**5/5
Let g(q) be the second derivative of q**4/36 - 5*q**3/3 + 171*q. Factor g(j).
j*(j - 30)/3
Let z = 36 + -33. Factor 4*y**5 + 16*y**5 - 6*y**2 + 85*y**2 - 112*y**4 + 132*y**z - 7*y**2.
4*y**2*(y - 3)**2*(5*y + 2)
Let c(n) = n**2 + 3*n + 12. Let r(h) be the second derivative of h**3/6 - h**2/2 - 4*h. Let q(f) = c(f) + 3*r(f). Suppose q(d) = 0. Calculate d.
-3
Let k(q) = -11*q + 47. Let a be k(4). Factor -6/5*m - 12/5*m**3 - 3/5*m**4 - a*m**2 + 0.
-3*m*(m + 1)**2*(m + 2)/5
Let g = -1565 + 1565. Let t(b) be the second derivative of 0 - 8/105*b**6 + 0*b**2 + 5*b - 2/147*b**7 - 2/21*b**4 + g*b**3 - 1/7*b**5. Factor t(h).
-4*h**2*(h + 1)**2*(h + 2)/7
Let p be 8*(-5)/(-100) + 6/(-15). Let i(m) be the second derivative of 2/21*m**7 + 0 + 0*m**3 - 7*m - 1/15*m**6 + p*m**2 + 0*m**4 + 1/80*m**5. Factor i(c).
c**3*(4*c - 1)**2/4
Factor 241*z**2 - 240*z**2 + 8 + 6*z + 10 - 9.
(z + 3)**2
Let v(u) be the second derivative of u**6/30 + 27*u**5/10 + 913*u**4/12 + 828*u**3 + 4232*u**2 + 586*u. Find f, given that v(f) = 0.
-23, -4
Let h(p) be the third derivative of -p**8/336 + 13*p**7/210 + p**6/40 - 37*p**5/60 - 13*p**4/12 + 263*p**2. Factor h(z).
-z*(z - 13)*(z - 2)*(z + 1)**2
Let b = 19 - 12. Let c be ((-28)/15 + 2)/(b/70). What is z in c + 8/3*z - 5/3*z**2 = 0?
-2/5, 2
Suppose 19*m - 5 = 71. Let g(u) be the third derivative of 0 + 1/135*u**5 + 1/540*u**6 + 0*u - 1/36*u**m + 0*u**3 + 3*u**2. Find w such that g(w) = 0.
-3, 0, 1
Let u(r) = 7 + 0 + 4*r**2 - 14 - 2*r**3 + r**3 + 4*r. Let c(k) = k**3 - 1. Let o(a) = 3*c(a) - u(a). Factor o(t).
4*(t - 1)**2*(t + 1)
Let q = -689/60 + 47/4. Let h(w) be the first derivative of q*w**3 + 6/5*w**2 + 4 - 16/5*w. Solve h(j) = 0 for j.
-4, 1
Suppose 0 = 4*g - 3*r - 17, -5*g = -0*r - 2*r - 30. Suppose -g - 8 = -4*s. Determine x, given that 6/7*x**3 + 2/7*x**2 - 6/7*x - 4/7 + 2/7*x**s = 0.
-2, -1, 1
Let q(j) = j**4 + 5*j**3 + 3*j**2 + 25*j + 2. Let g(m) = m**3 + m**2 + 4*m. Let d(f) = -6*g(f) + q(f). Factor d(l).
(l - 2)*(l - 1)*(l + 1)**2
Let p(k) be the second derivative of 1/4*k**4 + 0 - 1/6*k**3 + 10*k + 3/56*k**7 - 1/16*k**5 - 1/10*k**6 + 0*k**2. Let p(m) = 0. What is m?
-1, 0, 2/3, 1
Let q = 590 + -586. Let k(f) be the second derivative of -1/105*f**7 + 1/50*f**5 + 0 - 1/30*f**q + 1/75*f**6 - f + 0*f**2 + 0*f**3. Factor k(w).
-2*w**2*(w - 1)**2*(w + 1)/5
Suppose -3*v = -2*v - 2. Suppose v*o - 10 = -3*o. Determine a so that -1/3*a**o + 0*a + 0 + 1/3*a**3 = 0.
0, 1
Suppose -4*g - 70 = g - 2*t, -5*t + 61 = -3*g. Let f be (-314)/g + (20/6 - 4). Suppose -6 - f*n**3 + 21/2*n**2 - 9/2*n**4 + 12*n + 27/2*n**5 = 0. C