+ 1/66*p**4 + 10*p. Factor n(v).
2*(v + 1)*(v + 4)/11
Let c(p) be the third derivative of -p**6/480 - 141*p**5/80 - 19881*p**4/32 - 934407*p**3/8 - 7*p**2 - 2*p. Factor c(w).
-(w + 141)**3/4
Let i(y) = -y**2 - 11*y - 24. Let p be i(-3). What is b in 4/9*b**3 + p*b**4 + 0 - 2/9*b - 2/9*b**5 + 0*b**2 = 0?
-1, 0, 1
Let s(k) be the second derivative of -k**7/6 + 64*k**6/15 - 114*k**5/5 - 320*k**4/3 + 200*k**3/3 - 2*k - 13. Solve s(j) = 0 for j.
-2, 0, 2/7, 10
Let f(d) = 2*d**4 - 7*d**3 + 7*d**2 - 7*d - 5. Let g(m) = 2*m**4 - 7*m**3 + 7*m**2 - 6*m - 4. Let l(n) = -4*f(n) + 5*g(n). Factor l(s).
s*(s - 2)*(s - 1)*(2*s - 1)
Let o(h) = -9*h**2 + 11*h - 5*h + 13 - 1 - 3. Let p(y) = -y**2 + y + 1. Let s(k) = o(k) - 6*p(k). Let s(m) = 0. What is m?
-1, 1
Let m be 2 + 0 - (-130 - 50). Let u = m - 180. Factor -1/5*l - 1/10*l**u - 1/10.
-(l + 1)**2/10
Find f, given that -2/3 + 4*f**5 - f + 19/3*f**2 - 17/3*f**4 - 3*f**3 = 0.
-1, -1/4, 2/3, 1
Let r(y) be the second derivative of y**7/4410 + y**6/280 + y**5/105 - y**4/2 + 7*y. Let b(q) be the third derivative of r(q). Factor b(d).
2*(d + 4)*(2*d + 1)/7
Let m(l) = -4*l**2. Let a(c) = -20*c**2 + 5*c**2 + 7*c**2 + 7*c**2. Let p(i) = 26*a(i) - 6*m(i). Solve p(z) = 0.
0
Let q be 20 + 459/(-81) - 14. Let 7/3 + 2*d - q*d**2 = 0. Calculate d.
-1, 7
Let q(n) be the second derivative of 1/20*n**6 + 0 + 1/8*n**5 - 3*n - 1/2*n**3 - 7/16*n**4 + 3/2*n**2. Let m(o) be the first derivative of q(o). Factor m(f).
3*(f - 1)*(f + 2)*(4*f + 1)/2
Let a be 2 - -3 - 3/1. Let p(z) be the third derivative of 1/10*z**5 - 1/105*z**7 + 0 + 4*z**a + 0*z**3 - 1/6*z**4 + 0*z + 0*z**6. Factor p(d).
-2*d*(d - 1)**2*(d + 2)
Find q, given that 5*q - 4*q**5 + 4*q**4 + 4*q**3 - 6*q + q - 4*q**2 = 0.
-1, 0, 1
Let r(g) = -7*g**4 + 0 - 14*g**3 - 8 + 3*g**5 + 2*g**3 + 6. Let y(k) = -k**5 - k**4 - k**3 - 1. Let l(u) = -r(u) + 2*y(u). Factor l(o).
-5*o**3*(o - 2)*(o + 1)
Let a(x) be the second derivative of x**7/84 - 3*x**5/5 + 31*x**4/12 - 19*x**3/4 + 9*x**2/2 - 21*x. Find d, given that a(d) = 0.
-6, 1, 3
Suppose 22 = 10*q + 2. Suppose -o = -2*l - 1, -5*o = q*l - 5 - 0. Factor 3*z**2 - 8*z**5 - 12*z**4 - 1/2*z + l - 1/2*z**3.
-z*(z + 1)**2*(4*z - 1)**2/2
Factor -34*a**4 + 106*a**4 - 39*a**4 - 16*a**3 - 29*a**4 + 52*a**3.
4*a**3*(a + 9)
Let o(w) be the third derivative of 0 + 1/6*w**3 + 4*w**2 + 1/210*w**7 + 0*w**4 + 0*w**6 + 0*w - 1/30*w**5. Determine b, given that o(b) = 0.
-1, 1
Let o = -500 + 507. Let d(r) be the first derivative of 5*r**3 - 3/4*r**4 - 3*r**5 - o + 0*r + 3/2*r**2. Find c, given that d(c) = 0.
-1, -1/5, 0, 1
Solve -7/3*i**4 + 8/3*i + 34/3*i**2 + 0 + 19/3*i**3 = 0.
-1, -2/7, 0, 4
Let r(n) be the second derivative of n**5/20 - 13*n**4/36 + 4*n**3/9 + 2*n**2 - 601*n. Determine x so that r(x) = 0.
-2/3, 2, 3
Suppose 16 = 2*j - 4*m + 4, 3*j = m + 8. Let u be 6*1/4*j. Let 5*a + 2 + 6*a**2 + 3*a + 2*a**u - 2*a = 0. Calculate a.
-1
Let f(v) = v**3 - v**2 - 1. Let l(j) = -4*j**3 - 4*j**2 - j + 14. Let o(b) = -10*f(b) - 2*l(b). Factor o(d).
-2*(d - 9)*(d - 1)*(d + 1)
Let x(w) = -w**4 - w**3 - 4*w**2 - 3*w. Let f(s) = -2*s**4 - 3*s**3 - 9*s**2 - 7*s. Let l be 4 + -5 + 4 + 0. Let a(t) = l*f(t) - 7*x(t). Factor a(d).
d**2*(d - 1)**2
Let q(w) = -6*w**4 - 16*w**3 - 10*w**2 - 10*w - 20. Let i(y) = 2*y**4 + 5*y**3 + 3*y**2 + 3*y + 6. Let l(f) = -10*i(f) - 3*q(f). Factor l(n).
-2*n**3*(n + 1)
Suppose -5*s = -5*b - 3 - 2, s + 3 = 3*b. Suppose i + 5*a = b*a + 3, -12 = -4*i - 2*a. Suppose -2*y**2 + 16 - 6*y + i*y**2 + 3*y - 5*y = 0. Calculate y.
4
Let i(z) be the first derivative of 1/4*z**4 + 0*z + 1/3*z**3 - 27 - z**2. Solve i(t) = 0.
-2, 0, 1
Suppose 0*d - 2*d + 14 = 0. Let u = d + -4. Factor 12*q**4 + 3*q**5 - 36*q - 2*q**3 + 12 + 33*q**2 - q**u + 5*q**4 - 26*q**4.
3*(q - 2)*(q - 1)**3*(q + 2)
Factor 82*q**2 + 7442/3 - 2562*q - 2/3*q**3.
-2*(q - 61)**2*(q - 1)/3
Let t(j) be the third derivative of -j**6/300 - 2*j**5/75 - j**4/15 - j**2 + 32. Suppose t(r) = 0. What is r?
-2, 0
Let j be ((-20)/(-45))/(-3 - (-10 + 488/72)). Factor 14/3*o + j*o**3 - 16/3*o**2 - 4/3.
2*(o - 1)**2*(3*o - 2)/3
Suppose 0 = -7*j - 22 - 6. Let z(f) = 2*f**2 + 16*f + 20. Let c(i) = -2*i**2 - 17*i - 20. Let r(o) = j*c(o) - 6*z(o). Factor r(a).
-4*(a + 2)*(a + 5)
Let a(z) = z + 1. Let v(n) = n**2 + n. Let b(m) = 5*a(m) - v(m). Let i be b(4). Find j such that 6 + 3*j**2 - j**4 - 6 + 3*j - i*j = 0.
-2, 0, 1
Factor 9216*c + 54*c**2 + 5*c**3 - 5*c**3 - 438*c**2 + 4*c**3.
4*c*(c - 48)**2
Let l be 11 + 0 - (-3040)/(-285). Suppose -z**2 + 0 - l*z**3 - 2/3*z = 0. Calculate z.
-2, -1, 0
Let q(b) = 7*b**2 - 31*b + 37. Let t(p) = -p**2 + 5*p - 6. Let y(h) = 6*q(h) + 39*t(h). What is z in y(z) = 0?
-4, 1
Let h(t) be the second derivative of t**5/16 + t**4/12 - t**3/24 + 54*t. Let h(m) = 0. Calculate m.
-1, 0, 1/5
Let b(s) = -s**2 - 6*s - 10. Let y be b(-4). Let o = 4 - y. Find n such that -n**4 + 2*n + 3*n**2 - 2*n**3 - 8*n**4 + o*n**4 = 0.
-1, -2/3, 0, 1
Let t(l) be the second derivative of l**5/25 - 2*l**4/15 - 2*l**3/15 + 4*l**2/5 - 61*l. Factor t(i).
4*(i - 2)*(i - 1)*(i + 1)/5
Let j(n) be the third derivative of n**7/1050 - n**6/60 + 2*n**5/75 + n**4/12 - 3*n**3/10 - n**2 + 65. Find u, given that j(u) = 0.
-1, 1, 9
Solve 34*k**3 + 78*k**3 - 5206*k**4 + 5211*k**4 - 32*k**3 = 0 for k.
-16, 0
Let p = 82 - 79. Determine h, given that -17*h**2 + 6*h - 10*h**2 + 15*h**3 + 15*h**p = 0.
0, 2/5, 1/2
Let h(x) = -2*x**3 - 12*x**2 + 14*x + 2. Let f be h(-7). Suppose -6*v + 15*v - v**f + 0*v**2 + 4*v**2 + 6 = 0. What is v?
-2, -1
Factor 3*z**5 - 24*z + 11*z**4 + z**5 - z**4 - 60*z**3 + 68*z**2 - 2*z**4 + 4*z**4.
4*z*(z - 1)**3*(z + 6)
Let n(u) be the second derivative of u**6/15 - 2*u**5/5 + u**4 - 4*u**3/3 + u**2 + 81*u. Factor n(s).
2*(s - 1)**4
Let v(s) be the first derivative of s**5/80 - s**3/8 + s**2/4 + 3*s + 2. Let c(k) be the first derivative of v(k). Solve c(a) = 0.
-2, 1
Let z = -17586 + 123105/7. Factor -z - 108/7*p**2 + 36/7*p.
-3*(6*p - 1)**2/7
Let j(b) be the first derivative of -b**6/180 + b**5/10 - 3*b**4/4 + 14*b**3/3 + 12. Let u(x) be the third derivative of j(x). Factor u(c).
-2*(c - 3)**2
Let g(i) = i**3 - 3*i**2 - 7*i - 10. Let j be g(5). Let -38*a**3 + 161*a**5 + 2*a - 26*a**4 - 324*a**5 + 157*a**j - 22*a**2 - 6*a = 0. What is a?
-2, -1, -1/3, 0
Let s = 12059 + -12055. Find z, given that -480/7*z**s - 384/7*z**5 + 102/7*z + 282/7*z**3 + 474/7*z**2 + 6/7 = 0.
-1, -1/8, 1
Let n(k) be the second derivative of 1/2*k**2 + 0 - 1/60*k**6 + 2/3*k**3 - 5/12*k**4 + 2/15*k**5 + 4*k. Let i(r) be the first derivative of n(r). Factor i(x).
-2*(x - 2)*(x - 1)**2
Let g(w) be the second derivative of -w**5/45 - 13*w**4/54 - 8*w**3/9 - w**2 + 17*w. Determine j so that g(j) = 0.
-3, -1/2
Let d be (-29)/456 + (-4)/(-38). Let q(r) be the third derivative of 0 + 0*r + 3*r**2 + d*r**4 + 1/24*r**5 - 1/12*r**3 - 1/40*r**6. Factor q(y).
-(y - 1)*(2*y + 1)*(3*y - 1)/2
Factor -1/3*m**2 + 8*m - 48.
-(m - 12)**2/3
Solve -30*g**4 + 135*g**2 - 66*g**2 + 57*g**3 + 19*g**4 + 75*g**5 - 12 - 24*g - 154*g**4 = 0 for g.
-2/5, 1
Suppose 22/13*v - 16/13*v**2 + 40/13 + 2/13*v**3 = 0. Calculate v.
-1, 4, 5
Let i(s) be the second derivative of s**7/2940 + s**6/1260 - s**5/105 - s**4/21 - 2*s**3/3 + 26*s. Let h(t) be the second derivative of i(t). Solve h(z) = 0.
-2, -1, 2
Let l(c) = c**2 - 3*c - 7. Let k be l(5). Let n(v) = v**2 + 12*v + 34. Let i be n(-8). Let -3*p**i + 2*p - k*p**2 + p + 3*p**2 - 3*p**3 + 3*p**4 = 0. What is p?
-1, 0, 1
Let r(w) be the third derivative of 1/70*w**7 - w**3 + 0*w + 5*w**2 + 0 + 5/8*w**4 - 3/20*w**5 - 1/40*w**6. Let r(j) = 0. What is j?
-2, 1
Let m(r) be the third derivative of -1/120*r**5 + 0 + 1/96*r**6 + 0*r**4 + 0*r - 7*r**2 - 1/210*r**7 + 1/1344*r**8 + 0*r**3. Factor m(b).
b**2*(b - 2)*(b - 1)**2/4
Suppose 0 = -8*b + 11*b - 72. Let q be (b/20)/(4/10). Solve -1/4*s**q + 1/4*s + 1/4*s**4 + 0 - 1/4*s**2 = 0 for s.
-1, 0, 1
Let u(k) be the third derivative of k**7/42 - 5*k**6/24 - k**5/12 + 85*k**4/24 + 10*k**3 + 4*k**2 + 7*k. Factor u(q).
5*(q - 4)*(q - 3)*(q + 1)**2
Let j(d) = -d**3 - 5*d**2 + 7*d - 10. Let l(o) = o**3 + 4*o**2 - 7*o + 8. Let y(v) = 2*j(v) + 3*l(v). Factor y(a).
(a - 1)**2*(a + 4)
Let q = 18808 - 18804. Factor 4*u + 16*u**3 - 8*u**q + 0 - 40/3*u**2 + 4/3*u**5.
4