 + 8*x**5/5 - 23*x**4/6 + 7*x**2 + 1. Factor r(v).
-4*v*(v - 23)*(v - 1)
Let z(g) be the second derivative of -g**7/15 - 11*g**6/150 + 27*g**5/50 + 11*g**4/15 + 4*g**3/15 - 576*g. What is o in z(o) = 0?
-2, -1/2, -2/7, 0, 2
Let l be (36/2)/((-1)/(-2)). Let i be (-6)/(-8)*(-6)/(l/(-2)). Factor 3/2*w**2 + 1/4*w**4 + w + w**3 + i.
(w + 1)**4/4
Factor 2/7*n**2 - 30/7 + 4/7*n.
2*(n - 3)*(n + 5)/7
Let d(f) = f**2 - 25*f + 30. Let u(y) = 2*y**2 - 24*y + 30. Let r(x) = -4*d(x) + 3*u(x). Factor r(m).
2*(m - 1)*(m + 15)
Let n(q) = q**2 + 54*q**3 + 5*q**4 - 3*q**2 - 39*q**3 + 7*q**2. Let o(r) = -5*r**4 - 16*r**3 - 5*r**2. Let x(i) = 6*n(i) + 5*o(i). Factor x(h).
5*h**2*(h + 1)**2
Let u(h) be the second derivative of h**5/30 - h**3/3 + 2*h**2/3 - 4*h + 3. Factor u(c).
2*(c - 1)**2*(c + 2)/3
Let c(x) be the first derivative of -4/13*x - 2/39*x**3 + 13 + 3/13*x**2. Factor c(k).
-2*(k - 2)*(k - 1)/13
Let d be 1/8*(-656)/(-246). Factor 0 - p**3 + p**4 + 1/3*p**2 + 0*p - d*p**5.
-p**2*(p - 1)**3/3
Let t(s) = s**3 - 9*s**2 + 1. Let u be t(9). Let q(a) be the first derivative of u + 2/9*a + 2/9*a**2 + 2/27*a**3. Factor q(i).
2*(i + 1)**2/9
Suppose -5*b = -b - 20, 3*a - 20 = -4*b. Suppose a = -0*z - 2*z + 36. Factor -4*s**2 + 12*s - 2 - z*s**2 + 4*s**2.
-2*(3*s - 1)**2
Factor -1/9*r**4 + 125/9*r + 5/3*r**3 - 25/3*r**2 + 0.
-r*(r - 5)**3/9
Factor -18 - 52/3*k + 2/3*k**2.
2*(k - 27)*(k + 1)/3
Factor -m**3 - 3*m**4 - 5*m**3 + 18*m**2 - 9*m**3 + 18*m**3.
-3*m**2*(m - 3)*(m + 2)
Let m(u) be the second derivative of 1/14*u**4 + 0 + 0*u**3 + 0*u**2 - 3/28*u**5 - 1/10*u**6 - u. Factor m(f).
-3*f**2*(f + 1)*(7*f - 2)/7
Let d(g) be the third derivative of 16/15*g**5 + 16*g**2 + 0*g**3 + 0*g + 1/210*g**7 + 0*g**4 + 0 + 2/15*g**6. Factor d(k).
k**2*(k + 8)**2
Let r(p) be the second derivative of -p**5/100 - p**4/15 - p**3/10 + 744*p. Suppose r(j) = 0. Calculate j.
-3, -1, 0
Let u(i) = -2. Let d(v) be the first derivative of 2*v**3/3 + 9*v**2 + 50*v + 39. Let h(l) = -2*d(l) - 22*u(l). Factor h(s).
-4*(s + 2)*(s + 7)
Let t(n) be the first derivative of 800*n**3/3 - 120*n**2 + 18*n - 24. Factor t(u).
2*(20*u - 3)**2
Let q = 105 + -102. Factor -2*o**2 - o - 3*o**3 + 17*o**3 + o**q.
o*(3*o - 1)*(5*o + 1)
Let o = 528 - 5319/10. Let z = -17/5 - o. Let -1/4*k**5 - 1/4*k + 0*k**2 + 0*k**4 + 0 + z*k**3 = 0. Calculate k.
-1, 0, 1
Let k be (14 - 4)/((-3)/((-12)/8)). Let l(t) be the first derivative of 0*t - 1/8*t**4 - 4 + 1/4*t**2 - 1/18*t**3 + 1/30*t**k. Factor l(y).
y*(y - 3)*(y - 1)*(y + 1)/6
Solve 26/5*f + 169/5 + 1/5*f**2 = 0 for f.
-13
Let n(y) be the third derivative of -3*y**2 - 1/90*y**5 + 0*y + 1/36*y**4 + 1/540*y**6 - 7/6*y**3 + 0. Let b(x) be the first derivative of n(x). Factor b(k).
2*(k - 1)**2/3
Let j(c) = -10*c**3 - 10*c**2 + 80*c + 80. Let w(d) = -d**3 - d**2 + 9*d + 9. Suppose 0 = -2*t + 6 + 2. Let u(k) = t*j(k) - 35*w(k). Factor u(z).
-5*(z - 1)*(z + 1)**2
Determine c, given that -9 + 34*c + 2*c**3 + 21 - 8 + 16*c**2 + 16 = 0.
-5, -2, -1
Let k(x) be the first derivative of 200*x**6/3 - 28*x**5 - 107*x**4 + 148*x**3/3 + 14*x**2 - 8*x + 261. Find y such that k(y) = 0.
-1, -1/4, 1/5, 2/5, 1
Let n be 2/(1 + 6/4). Let f = 3232/635 - 240/127. Factor 24/5*a**2 + n - f*a**3 + 4/5*a**4 - 16/5*a.
4*(a - 1)**4/5
Let s be (-108)/(-1188) - (-216)/44. Suppose 2/3*d**2 + 8/3*d**4 + 0 + 0*d - 7/3*d**3 - d**s = 0. Calculate d.
0, 2/3, 1
Let j(k) be the third derivative of k**7/210 + 7*k**6/120 + k**5/4 + 13*k**4/24 + 2*k**3/3 + 125*k**2. Factor j(r).
(r + 1)**3*(r + 4)
Suppose b = 2*t + 1, 3 = 3*t - 20*b + 23*b. Find m, given that 2/3*m**2 - 4/3*m + t = 0.
0, 2
Suppose 0 = -o - 4*v + 25 + 11, -o + 1 = -3*v. Factor 14*c**2 - 5*c + 0*c - o*c**2 - 8 - 3*c.
-2*(c + 2)**2
Let i(r) = -r**2 - 22*r + 133. Let q be i(-27). Let z be 48/63*(1/(-2) - q). Suppose -8/7*y**4 - 2/7*y - z*y**2 + 0 - 12/7*y**3 - 2/7*y**5 = 0. Calculate y.
-1, 0
Let o = -5902/9 - -656. Let k(l) be the first derivative of -2/3*l - 2 + 1/2*l**2 + o*l**3. Let k(b) = 0. Calculate b.
-2, 1/2
Let a(c) be the first derivative of -c**4/20 - 68*c**3/5 - 6936*c**2/5 - 314432*c/5 + 221. Determine n so that a(n) = 0.
-68
Let r(f) be the third derivative of -f**5/12 + 65*f**4/4 - 2535*f**3/2 - 149*f**2. Let r(x) = 0. Calculate x.
39
Let f(b) = b**2 + 8*b + 25. Let o be f(-5). Suppose -8*j + r + o = -3*j, -j - 2*r = -13. Factor l**2 - 1/3*l**j + 1/3 - l.
-(l - 1)**3/3
Let g(n) be the second derivative of -n**4/27 - 34*n**3/27 - 40*n**2/3 + 3*n + 13. Let g(o) = 0. What is o?
-12, -5
Suppose 4 + 1677 - 49*x**2 + 1918 + 50*x**2 + 148*x + 1877 = 0. What is x?
-74
Let v(x) be the second derivative of -10*x**7/147 + 22*x**6/105 + 3*x**5/35 - 11*x**4/21 + 4*x**3/21 + x + 5. Determine b so that v(b) = 0.
-1, 0, 1/5, 1, 2
Let z be 5 + 518/91 + -1. Factor -120/13*t**2 - 4/13 - z*t**3 - 38/13*t.
-2*(3*t + 1)**2*(7*t + 2)/13
Factor 1383*d**5 - 15168*d**3 - 78848*d**4 + 15001*d**5 - 20*d - 95615*d**2 + 94659*d**2.
4*d*(d - 5)*(16*d + 1)**3
Let a(i) be the third derivative of -i**5/120 + i**4/16 + 5*i**3/6 - 3*i**2 - 2. Solve a(u) = 0 for u.
-2, 5
Suppose -16 + 0 = -2*y. Suppose -20 = -3*o - y. Let -30*j**2 - j - 55*j**o + 10*j + 50*j**4 + 20*j**3 - 5 + 11*j = 0. What is j?
1
Let l(c) be the second derivative of 2*c**7/147 - 11*c**6/105 + c**5/14 - 481*c. Let l(x) = 0. Calculate x.
0, 1/2, 5
Factor 32/9*n**4 + 2/9*n**5 + 0 + 0*n**3 + 0*n + 0*n**2.
2*n**4*(n + 16)/9
Let w(p) = -7*p**4 + 25*p**3 + 90*p**2 + 4*p - 120. Let l(n) = 6*n**4 - 24*n**3 - 90*n**2 - 6*n + 120. Let o(z) = 4*l(z) + 3*w(z). What is g in o(g) = 0?
-2, 1, 10
Let c = 14 + -12. Factor -c*w**2 - w**3 + w + 4*w - 4*w - 2*w.
-w*(w + 1)**2
Factor 4/3 - 1/9*y**3 + 8/9*y - 1/9*y**2.
-(y - 3)*(y + 2)**2/9
Let c(g) be the first derivative of -g**5/40 + g**4/24 + g**3/3 - g**2 - 7*g - 27. Let n(v) be the first derivative of c(v). Find r such that n(r) = 0.
-2, 1, 2
Factor 957 - 3*h**2 + 12*h - 12*h**2 - 954.
-3*(h - 1)*(5*h + 1)
Let b(o) = -20*o**2 - o - 2. Let s be b(-2). Let f be (64/s)/(2/(-5)). What is t in -4/5*t + 0 - 2/5*t**3 + 6/5*t**f = 0?
0, 1, 2
Let o(u) = -u**3 - 116*u**2 - 109*u + 690. Let q be o(-115). Determine z, given that -3/2*z**3 + 0*z - z**4 + q - 1/2*z**2 = 0.
-1, -1/2, 0
Let m(u) be the third derivative of u**5/135 + u**4/108 - 2*u**3/9 - 87*u**2. Factor m(s).
2*(s + 2)*(2*s - 3)/9
Let j(o) = -3*o**2 - 30*o + 225. Let w be j(5). Let w*k + 1/2 - 1/2*k**2 = 0. Calculate k.
-1, 1
Let n(y) = -y**2 - 35*y. Let a(f) = 10*f**2 + 385*f. Let u(h) = 4*a(h) + 45*n(h). Suppose u(j) = 0. What is j?
-7, 0
Let c be (9/(-54))/(28/(-48)). Solve -6/7*z**2 + c*z + 6/7 - 2/7*z**3 = 0 for z.
-3, -1, 1
Let h(l) be the second derivative of l**4/48 - 7*l**3/24 - l**2 + 15*l. Factor h(n).
(n - 8)*(n + 1)/4
Suppose -2*b - 85 = -6*j + j, -b = -5*j + 90. Let j*t + 4*t**5 + 10*t - 3*t**4 - 24*t**3 - 8*t**2 - 9*t + 12 - t**4 = 0. Calculate t.
-1, 1, 3
Let f(i) = 2*i**2 + 15*i + 3. Let w(s) = -3*s**2 - 27*s - 6. Let x(d) = 9*f(d) + 5*w(d). Factor x(g).
3*(g - 1)*(g + 1)
Let s(a) be the first derivative of -3*a**5/25 + 6*a**4 - 358*a**3/5 - 252*a**2 - 1323*a/5 + 177. Factor s(w).
-3*(w - 21)**2*(w + 1)**2/5
Let c(f) = 5*f**3 - f**2. Let w be c(1). Let -9*u - 19 + w*u**3 + 13 - u**3 = 0. Calculate u.
-1, 2
Let t = 21110 + -21108. Determine n so that -1/2*n**t + 0*n + 0 + 1/2*n**3 = 0.
0, 1
Let q(k) be the second derivative of k**6/10 - 3*k**5/5 - k**4/2 + 6*k**3 + 27*k**2/2 + 166*k. Find u such that q(u) = 0.
-1, 3
Let o(q) be the third derivative of q**5/80 + 7*q**4/16 + 3*q**3 - q**2 - 154. Suppose o(r) = 0. What is r?
-12, -2
Let c(o) be the first derivative of -o**6/6 + 16*o**5/5 - 29*o**4/4 + 14*o**3/3 - 41. Solve c(w) = 0.
0, 1, 14
Let b(q) be the first derivative of q**4/4 + 6*q**3 + 54*q**2 + q - 14. Let d(a) be the first derivative of b(a). Factor d(n).
3*(n + 6)**2
Let f(g) = -5*g**2 + 90*g - 145. Let m be (1*2)/(8/12). Let x(r) = -2*r**2 + 30*r - 48. Let q(l) = m*f(l) - 10*x(l). Factor q(u).
5*(u - 3)**2
Suppose 8 = -3*d + 3*u + 29, 4*d - 4 = -2*u. Let k be (140/(-6370))/(-2 + 27/14). Determine b, given that k + 18/13*b + 8/13*b**d + 24/13*b**2 = 0.
-2, -1/2
Let c(b) be the second derivative of -1/15*b**5 + 0*b**2 + 10*b - 1/90*b**6 - 1/9*b**3 - 5/36*b**4 + 0. Factor c(n).
-n*(n + 1)