en that 4*z**2 + 16/3*z**3 - 24*z - 4/3*z**4 + n = 0.
-2, 0, 3
Let h(o) be the third derivative of o**7/350 + 13*o**6/20 + 1386*o**5/25 + 9196*o**4/5 - 85184*o**3/5 + 361*o**2. Factor h(d).
3*(d - 2)*(d + 44)**3/5
Suppose -4*w + 15 = 5*u, 3 = 4*u - 9. Let y(d) be the first derivative of 0*d**2 - 3 + 0*d**4 - 1/15*d**5 + 1/9*d**3 + w*d. Suppose y(k) = 0. What is k?
-1, 0, 1
Let k be (-340)/2210 + 28/13. Suppose 0*u**k + 1/4*u**3 + 0 + 0*u = 0. What is u?
0
Solve -32*a + 47*a + 3*a**2 - 117503 + 117263 + 222*a = 0 for a.
-80, 1
Let t = -1459 + 1459. What is j in 0*j**2 + 1/6*j**5 + 0 - 1/6*j**3 + 0*j + t*j**4 = 0?
-1, 0, 1
Factor -2*y**4 + 1922*y**2 - 15*y**3 - 3*y**4 - 1902*y**2.
-5*y**2*(y - 1)*(y + 4)
Find m such that -18 + 895*m**2 + 18 + 214*m**5 - 17089*m**5 + 64125*m**4 + 20*m + 18120*m**3 - 4845*m**3 = 0.
-1/15, 0, 4
Suppose 0 = k + 1 - 2. Let r be (-2 - (k + -3)) + 10. Solve -3*v**5 - 14*v**3 + r*v**3 + 8*v**4 - v**5 = 0 for v.
0, 1
Let u(r) = 4*r - 15. Let m be u(6). Suppose 3*q - 13 = y + m, 3*q - 2 = 5*y. Factor -17*h**2 - 13*h**2 - 36*h - 3 - q + 3*h**2.
-3*(3*h + 2)**2
Let m(a) be the second derivative of 0*a**2 - 1/70*a**5 + 0 - 1/42*a**4 + 9*a + 0*a**3. Suppose m(h) = 0. What is h?
-1, 0
What is s in 8*s - 4*s**4 - 48*s**3 + 4*s**4 - 4*s**4 + 40*s**3 + 4 = 0?
-1, 1
Let r(b) be the second derivative of -5*b**7/28 - 17*b**6/180 + 79*b**5/20 - 161*b**4/18 + 22*b**3/3 - 8*b**2/3 - 190*b. Determine x so that r(x) = 0.
-4, 2/9, 2/5, 1, 2
Let d be ((-1 - 0 - 2) + (-650)/(-260))*0. Factor 2/11*b + d - 6/11*b**3 - 4/11*b**2.
-2*b*(b + 1)*(3*b - 1)/11
Let y be ((-4)/66)/((-1)/3). Let d be ((-132)/3993)/((-2)/33). Factor y*k + d*k**3 - 6/11*k**2 + 0 - 2/11*k**4.
-2*k*(k - 1)**3/11
Let z(r) be the third derivative of r**7/525 - 2*r**5/75 + 2*r**2 - 5*r. Factor z(p).
2*p**2*(p - 2)*(p + 2)/5
Let h(v) be the first derivative of -v**5 - 45/2*v**2 + 25/4*v**4 + 0*v + 2 - 5*v**3. Determine w so that h(w) = 0.
-1, 0, 3
Suppose 4*c = -0*c + 48. What is b in 1 - c*b - 17 - 33*b**2 + 31*b**2 = 0?
-4, -2
Suppose -m = -2*m + 2. Let s be m/(-4) + 35/10. Factor 0*n + n**s + 0*n - n**4.
-n**3*(n - 1)
Let y(w) be the third derivative of -w**5/105 - 11*w**4/42 + 8*w**3/7 + 82*w**2. Let y(q) = 0. Calculate q.
-12, 1
Let t(h) be the third derivative of h**7/70 - 3*h**5/20 + h**4/4 - 27*h**2. Factor t(g).
3*g*(g - 1)**2*(g + 2)
Let o(g) be the first derivative of 2*g**3/3 - 53*g**2 - 134. Factor o(w).
2*w*(w - 53)
Let r(j) be the second derivative of j**6/15 + 7*j**5/10 + j**4 - 61*j. Find b, given that r(b) = 0.
-6, -1, 0
Let o(c) = 2*c**4 + c**3 - 2*c. Let u(v) = 3*v**4 - 2*v**3 - 9*v**2 - 7*v. Let q(l) = 4*o(l) - 4*u(l). Let q(s) = 0. Calculate s.
-1, 0, 5
Let l = -14923/161 - -2605/23. Let 296*b**3 - 28*b**4 + 1168/7*b - 2900/7*b**2 - l = 0. What is b?
2/7, 1, 9
Let l(j) = 4*j**3 - 20*j**2 + 56*j - 2. Let n(r) = 29*r**3 - 139*r**2 + 392*r - 15. Let w(y) = -15*l(y) + 2*n(y). Factor w(i).
-2*i*(i - 7)*(i - 4)
Let h(j) be the second derivative of 1/100*j**5 + 0 - 3/5*j**2 + 1/10*j**4 + 18*j - 1/30*j**3. Factor h(z).
(z - 1)*(z + 1)*(z + 6)/5
Let u = 36 - 36. Let a(t) be the third derivative of u + 1/42*t**4 + 0*t**3 + 0*t - 11/210*t**5 - 3*t**2 + 3/140*t**6. Factor a(h).
2*h*(h - 1)*(9*h - 2)/7
Factor 57*t + 365*t**5 - 364*t**5 + 6*t - 32*t**4 + 64*t**3 + 46*t**4 + 114*t**2.
t*(t + 1)*(t + 3)**2*(t + 7)
Let a(j) be the first derivative of 0*j - 5/4*j**2 - 1/6*j**3 - 25. Factor a(b).
-b*(b + 5)/2
Let x(q) be the first derivative of q**6/9 + 4*q**5/3 - 25*q**4/3 + 160*q**3/9 - 55*q**2/3 + 28*q/3 - 273. Factor x(s).
2*(s - 1)**4*(s + 14)/3
Let y be 8/(-2)*((-126)/12 + 13)/(-1). Factor -2/3*i**3 - y*i - 14/3 - 6*i**2.
-2*(i + 1)**2*(i + 7)/3
Determine k, given that 405 - 18*k + 1/5*k**2 = 0.
45
Let t(k) be the second derivative of k**6/900 + k**5/150 + 4*k**3/3 + 7*k. Let i(a) be the second derivative of t(a). Factor i(w).
2*w*(w + 2)/5
Let h = 3799 - 102557/27. Let b(u) be the third derivative of 8/27*u**4 - 1/945*u**7 - 8*u**2 + 0*u - 4/45*u**5 + 0 - h*u**3 + 2/135*u**6. Factor b(x).
-2*(x - 2)**4/9
Let f(n) be the first derivative of n**3 - 93*n**2 + 2883*n + 386. Determine y, given that f(y) = 0.
31
Let -201 + 55*p - 183 - 343*p - 5*p**3 + 2*p**3 - 54*p**2 = 0. What is p?
-8, -2
Let x(c) be the first derivative of -c**4/20 - 4*c**3/5 - 11*c**2/10 + 5. Let x(l) = 0. Calculate l.
-11, -1, 0
Find u, given that -27*u + 3*u**3 - 15*u**2 + 0*u**3 - 76 - 45*u - 2*u**3 = 0.
-2, 19
Suppose -62 = -2*h + 2*j + 70, -j + 1 = 0. Let i = -65 + h. Factor -3/4*u + 1/4 + 3/4*u**3 - 1/4*u**i.
(u - 1)*(u + 1)*(3*u - 1)/4
Let b be (-8 - -8)/(3 + -5). Find u, given that b - 12/11*u + 6/11*u**4 - 18/11*u**2 + 0*u**3 = 0.
-1, 0, 2
Let j(r) be the first derivative of -r**6/15 + 8*r**5/25 + 3*r**4/10 - 4*r**3/3 - 8*r**2/5 + 215. What is s in j(s) = 0?
-1, 0, 2, 4
Let p(n) be the first derivative of n**3/24 + n**2/8 + n/8 + 31. Factor p(r).
(r + 1)**2/8
Suppose -32 + 59*p + 0*p**3 + 10*p**3 - 9*p + 18*p - 6*p**3 - 40*p**2 = 0. Calculate p.
1, 8
Factor -275 + 123 + 3*j**2 + 140.
3*(j - 2)*(j + 2)
Let f(g) = g**3 - 3*g**2 + 2*g - 4. Let o = -33 + 36. Let i be f(o). Factor -1/4*q - 1/2*q**i + 0 - 1/4*q**3.
-q*(q + 1)**2/4
Let l(i) = -239*i**3 + 129*i**3 - 42*i + 171*i**3 - 27*i + 6 - 6*i**2. Let z(m) = 245*m**3 - 25*m**2 - 275*m + 25. Let c(n) = 15*l(n) - 4*z(n). Factor c(w).
-5*(w - 1)*(w + 1)*(13*w - 2)
Let u(c) be the third derivative of c**6/120 + c**5/12 - c**4/8 - 2*c**3 - 2*c**2. Let q be u(-5). Factor -3*a**q - 6*a**2 + 9 - 9 - 3*a.
-3*a*(a + 1)**2
Find z such that 0 + 9/4*z**4 + 39/4*z**2 - 29/4*z**3 - 9/2*z - 1/4*z**5 = 0.
0, 1, 2, 3
Let v(i) be the first derivative of -2/9*i**3 + 0*i - 35 + i**2. Factor v(t).
-2*t*(t - 3)/3
Let k(s) be the second derivative of -18*s + 1/3*s**2 - 1/135*s**6 - 8/27*s**3 + 0 + 1/9*s**4 + 0*s**5. Solve k(j) = 0 for j.
-3, 1
Factor 3*i**2 + 33*i + 0*i**2 - 20 - 28 - 15*i.
3*(i - 2)*(i + 8)
Let t be (-29)/3*15/(1305/(-58)). Let 22/9*w**3 - 2/9*w**4 - 2/9*w**5 + 52/9*w + 16/9 + t*w**2 = 0. What is w?
-2, -1, 4
Let t(u) be the first derivative of -2*u**3/57 + 7*u**2/19 - 24*u/19 + 123. Factor t(q).
-2*(q - 4)*(q - 3)/19
Suppose 0 = -3*m - 3*x, -7*m + 6 = -2*m + 3*x. Let u be (20/(-6))/(m*(-1)/3). Factor -2/3*k**3 + u*k - 2/3*k**4 + 4/3 + 2*k**2.
-2*(k - 2)*(k + 1)**3/3
Let x(v) be the third derivative of v**7/42 + 5*v**6/24 + 2*v**5/3 + 5*v**4/6 - 6*v**2 - v. Factor x(z).
5*z*(z + 1)*(z + 2)**2
Let p be 2/8 - (-2 + 1/4). Factor -8*i**p - 10 + 26 + 11*i**2 - 7*i**2 + 2*i**3 - 8*i.
2*(i - 2)**2*(i + 2)
Let z = -526 + 782. Let w = z - 253. Factor 1/2*g**w + 0*g + g**2 + 0.
g**2*(g + 2)/2
Let b(v) = v**3 - 25*v**2 + 76*v - 111. Let y(t) = t**2 - t + 1. Let q(d) = -2*b(d) - 22*y(d). Factor q(r).
-2*(r - 5)**2*(r - 4)
Let k(h) be the first derivative of 1/27*h**3 - 8*h + 4 + 1/54*h**4 - 2/9*h**2. Let p(q) be the first derivative of k(q). Factor p(c).
2*(c - 1)*(c + 2)/9
Let j(u) = -3*u**2 + u. Let o(m) = 11*m**2 - 89*m + 84. Let i(q) = -3*j(q) - o(q). Factor i(a).
-2*(a - 42)*(a - 1)
Let g(z) be the first derivative of -2/13*z + 0*z**4 - 32 + 0*z**2 + 4/39*z**3 - 2/65*z**5. Find u such that g(u) = 0.
-1, 1
Let q(i) be the second derivative of i**4/60 - 19*i**3/30 + 17*i - 2. Let q(w) = 0. What is w?
0, 19
Let n = -8 - -11. Let m(f) = f**2 - 14*f - 42. Let c be m(17). Factor 0*z**3 - c*z**4 - 3*z**2 + z**5 - 4*z**5 + n*z**3 - 12*z**3.
-3*z**2*(z + 1)**3
Suppose 4*h + 2*f = -30, -3*f - 15 = 2*f. Let p = -2 - h. Factor -19*l + 19*l - l**3 + l**p - 2*l**2.
l**2*(l - 2)*(l + 1)
Let i(z) be the second derivative of z**7/6720 + z**6/320 - 2*z**4 + 8*z. Let o(n) be the third derivative of i(n). Factor o(l).
3*l*(l + 6)/8
Suppose -7*t = 4*d - 6*t - 14, d - 7 = -2*t. Let i(z) be the second derivative of 9*z - 1/12*z**4 - 1/12*z**d + 0 + 1/40*z**5 + 1/2*z**2. Factor i(l).
(l - 2)*(l - 1)*(l + 1)/2
Let x be -62 - -65 - (-14)/(-5). What is j in -1/5*j**3 + 0*j**2 + 0 + x*j = 0?
-1, 0, 1
Let y be (-60)/(-225)*9/4*110/165. Factor -y*g**2 - 128/5 + 32/5*g.
-2*(g - 8)**2/5
Let t = 4356 + -39202/9. Suppose 2/9*n**3 - 2/9*n**2 - t*n + 2/9 = 0. Calculate n.
-1, 1
Let b(t) be the second derivative of 5/4*t**5 - 13*t + 5/6*t**4 - 50/3*t**3 - 20*t**2 + 0. Factor b(v).
5*(v - 