3713/11060. Let y(i) be the third derivative of 0 + 0*i + 1/105*i**7 + 0*i**3 + 2*i**2 - 1/3*i**4 + p*i**6 + 0*i**5. Solve y(f) = 0.
-2, 0, 1
Let f(n) be the first derivative of 2*n**6/45 + n**5/3 + 25*n**4/24 - 34*n**3/3 + 6. Let y(l) be the third derivative of f(l). Factor y(s).
(4*s + 5)**2
Let u = -6303 + 18910/3. Suppose u*i**5 + 1/3*i + 1/3*i**4 + 1/3 - 2/3*i**2 - 2/3*i**3 = 0. Calculate i.
-1, 1
Let c = -3887/2 + 1944. Find p such that 0 + 0*p**3 - 3/2*p**2 + c*p**4 + p = 0.
-2, 0, 1
Factor -223/8*a + 1/8*a**3 - 75/4 - 9*a**2.
(a - 75)*(a + 1)*(a + 2)/8
Let n be 2 - 19/1*-1. Let c(k) = -3*k. Let z = 117 + -114. Let g(l) = 49*l**2 + 49*l + 4. Let s(a) = n*c(a) + z*g(a). Factor s(o).
3*(7*o + 2)**2
Let t = 12 + 17. Let y = -29 + t. Factor y*n + 1/4*n**2 + 0.
n**2/4
Let j(o) = -2*o - 6. Let n(k) = -6*k - 18. Let u(s) = -17*j(s) + 6*n(s). Let b be u(-4). Determine y so that -2/3*y**b + 0*y + 1/3*y**3 + 0 = 0.
0, 2
Suppose -35*k - 90 = -41*k. Suppose 5*v + k*v - 16*v + 4*v**2 = 0. What is v?
-1, 0
Suppose -5*l + 10 + 0 = 0. Factor -4*j**2 + 3*j**3 + j + 27*j**4 - 28*j**4 + j**l.
-j*(j - 1)**3
Let c(d) be the first derivative of 3*d**5/25 + 33*d**4/20 - 5*d**3 + 39*d**2/10 + 143. Factor c(g).
3*g*(g - 1)**2*(g + 13)/5
Let f(m) be the second derivative of -m**7/3780 + m**6/1620 + 17*m**3/3 - m. Let b(u) be the second derivative of f(u). Determine o so that b(o) = 0.
0, 1
Let v(y) be the third derivative of y**5/210 - y**4/84 - 2*y**3 - 464*y**2. Factor v(j).
2*(j - 7)*(j + 6)/7
Let x(h) be the third derivative of -h**6/1380 - 13*h**5/345 - 16*h**4/23 - 96*h**3/23 - 10*h**2 + 17*h. Suppose x(s) = 0. What is s?
-12, -2
Let x = 34/1049 + 16682/3147. Suppose 0*o + 0 - 4/9*o**5 - 32/9*o**2 - x*o**3 - 8/3*o**4 = 0. Calculate o.
-2, 0
Let g(z) = z**5 + 2*z**4 - z - 1. Let y(a) = 5*a**5 + 16*a**4 - a**3 - 8*a**2 - 4*a - 4. Let i(h) = -4*g(h) + y(h). Solve i(w) = 0.
-8, -1, 0, 1
Let g(t) be the third derivative of t**8/336 - t**7/21 + 31*t**6/120 - 11*t**5/30 - 4*t**4/3 + 16*t**3/3 - 158*t**2. Let g(j) = 0. Calculate j.
-1, 1, 2, 4
Let y(i) be the second derivative of -36*i - 2/7*i**2 - 11/42*i**4 + 0 - 4/147*i**7 + 11/21*i**3 + 13/105*i**6 - 1/10*i**5. Let y(j) = 0. What is j?
-1, 1/4, 1, 2
Let d = 13046 + -195688/15. Factor d*s**2 + 2/5*s + 4/15.
2*(s + 1)*(s + 2)/15
Let s = -83 - -50. Let w(k) = -9*k**4 - 33*k**3 - 96*k**2 - 33*k + 33. Let a(n) = n**4 + 4*n**3 + 12*n**2 + 4*n - 4. Let x(r) = s*a(r) - 4*w(r). Factor x(p).
3*p**2*(p - 2)*(p + 2)
Let t(l) = 7*l**3 - 25*l**2 + 42*l - 18. Let u(m) = -15*m**3 + 50*m**2 - 85*m + 35. Let f(w) = w - 3. Let i be f(5). Let a(z) = i*u(z) + 5*t(z). Factor a(d).
5*(d - 2)**2*(d - 1)
Factor -17 - 20/3*i - 1/3*i**2.
-(i + 3)*(i + 17)/3
Let c = -116549/9 - -12951. Factor 0 + 2/9*j**4 - 8/9*j**3 + 0*j - c*j**2.
2*j**2*(j - 5)*(j + 1)/9
Let j(m) = 0*m**5 - m**5 + 0*m**5 + m**2 - 11 + 12. Let p(k) = -4*k**5 - 4*k**4 - 8*k**3 + 16*k**2 + 4*k + 4. Let l(u) = 8*j(u) - p(u). Factor l(o).
-4*(o - 1)**3*(o + 1)**2
Factor 11/6*v**4 + 0*v + v**5 + 2/3*v**3 + 0 - 1/6*v**2.
v**2*(v + 1)**2*(6*v - 1)/6
Let m(n) be the second derivative of n**4/20 + 2*n**3 + 30*n**2 - n + 1. Find k, given that m(k) = 0.
-10
Let k(d) = 2*d - 34. Let u be k(18). Suppose 3*t**3 - 18*t**2 - 7*t**u + 2*t**3 = 0. Calculate t.
0, 5
Let j(t) be the first derivative of -t**6/90 + t**4/18 - t**2/6 - 14*t + 5. Let n(x) be the first derivative of j(x). Factor n(r).
-(r - 1)**2*(r + 1)**2/3
Suppose -2*j - 5*j = -2*j. Let v(u) be the third derivative of 1/72*u**4 + j*u - 5*u**2 + 0*u**3 - 1/180*u**5 + 0. Factor v(y).
-y*(y - 1)/3
Factor -8*k - k**3 - 92*k**2 + 44*k**2 - 4 + 43*k**2.
-(k + 1)*(k + 2)**2
Let m(h) = 3*h**4 - 13*h**3 - 59*h**2 + 197*h + 450. Let b(g) = -3*g**4 + 12*g**3 + 60*g**2 - 198*g - 450. Let k(r) = 2*b(r) + 3*m(r). Factor k(j).
3*(j - 5)**2*(j + 2)*(j + 3)
Suppose -3*f - 2*f = -10. Suppose y - z = -3, f*y - 10 = -5*z + 5. Solve -c + 5*c**3 + 3*c**4 - 4*c**3 - c + y*c - 3*c**2 + c**5 = 0 for c.
-2, -1, 0, 1
Let y be 918/(-14) + 15/(-35). Let f = -592/9 - y. Solve 2/9*d**3 - 2/3*d**2 - f + 2/3*d = 0.
1
Let k be (78/208)/((-6)/(-4)). Find p such that 1 + k*p**2 + p = 0.
-2
Factor 10*b**3 + 4 + 69*b**4 - 32*b**4 + 0 + 14*b + 18*b**2 - 35*b**4.
2*(b + 1)**3*(b + 2)
Let k(l) be the second derivative of -1/16*l**3 + 0 + 0*l**5 - 1/40*l**6 + 1/16*l**4 + 0*l**2 + 9*l + 1/112*l**7. Factor k(w).
3*w*(w - 1)**3*(w + 1)/8
Let m be 5 + -6 + (5 - 0). Let h be m/(-2) + (-240)/(-105). Factor 4/7 - 2/7*l**3 + h*l - 4/7*l**2.
-2*(l - 1)*(l + 1)*(l + 2)/7
Let k be 8/12 - 2/3. Suppose 3*u + 0*u - g - 10 = k, g + 8 = 2*u. Factor 9*f - 6 - f**u - 3 - 3*f.
-(f - 3)**2
Let d(c) be the first derivative of c**3/3 + 7*c**2/2 - 5*c - 4. Let w be d(-8). Suppose 0*x**w - x**4 + 0 - 1/2*x + x**2 + 1/2*x**5 = 0. Calculate x.
-1, 0, 1
Let t(w) be the second derivative of w**8/840 - w**7/70 + w**6/20 + w**3/2 - 3*w. Let j(y) be the second derivative of t(y). Factor j(q).
2*q**2*(q - 3)**2
Let q(a) be the third derivative of -a**6/10 + 12*a**5/5 - 45*a**4/8 + 11*a**3/2 + 306*a**2. Factor q(i).
-3*(i - 11)*(2*i - 1)**2
Suppose -5*s = -4*r - 75 - 210, 0 = s - 5. Let b be 6/((-270)/r - 2/13). Factor 3/2*o**4 + b + 3/2*o**5 - 3*o**2 + 3/2*o - 3*o**3.
3*(o - 1)**2*(o + 1)**3/2
Let g(i) = -12*i**2 - 32*i + 20. Let m(v) = 2*v**2 - v + 2. Let r(y) = -g(y) - 8*m(y). Let r(z) = 0. Calculate z.
1, 9
Let q = -1124 - -1129. Solve 0 - 6/11*v**q + 8/11*v**4 + 8/11*v**3 + 0*v + 0*v**2 = 0.
-2/3, 0, 2
Let p(i) be the first derivative of -10*i**5/3 + 85*i**4/6 - 169*i**3/18 - 17*i**2 - 6*i - 102. Suppose p(z) = 0. Calculate z.
-3/10, 2
Let p be (-243)/(-45) + (-2)/5. Solve -5 - 4*v - 9*v + 5*v - p*v**2 - 2*v = 0.
-1
Let n be (-198)/(-24) + -6 - (12/16)/3. Factor 1/7*r**4 + 0 - 1/7*r + 1/7*r**3 - 1/7*r**n.
r*(r - 1)*(r + 1)**2/7
Let -16/5 - 16679/5*j**3 + 980*j**5 - 3052*j**4 + 100*j - 2848/5*j**2 = 0. Calculate j.
-1/2, 2/35, 4
Let -73*r**5 - 79*r**5 + 15*r**4 - 15*r**2 - 20*r - 71*r**5 + 25*r**3 + 218*r**5 = 0. Calculate r.
-1, 0, 1, 4
Find l such that -181*l**2 + 8*l**3 + 184*l**2 - 9*l**3 = 0.
0, 3
Let o(c) be the second derivative of -68*c**6/5 + 311*c**5/10 - 39*c**4/2 + 3*c**3 + c**2 + 184*c. Suppose o(w) = 0. Calculate w.
-1/17, 1/4, 1/3, 1
Let t(l) be the first derivative of l**5/15 - l**4/6 + l**3/9 - 278. Determine z, given that t(z) = 0.
0, 1
Let u(m) be the second derivative of -1/45*m**6 + 1/18*m**4 - 1/15*m**5 + 2/63*m**7 - 6*m + 0*m**3 + 0 + 0*m**2. Let u(n) = 0. Calculate n.
-1, 0, 1/2, 1
Factor 3/2*q**2 - 2*q + 1/2*q**3 + 0.
q*(q - 1)*(q + 4)/2
Let o(h) be the second derivative of 7/51*h**3 + 1/51*h**7 - 10*h + 2/51*h**4 - 2/255*h**6 - 7/85*h**5 + 0 - 2/17*h**2. Suppose o(b) = 0. What is b?
-1, 2/7, 1
Let c(y) be the third derivative of 2*y**7/525 + 7*y**6/150 - y**5/25 - 23*y**4/30 - 28*y**3/15 - 188*y**2. Determine d, given that c(d) = 0.
-7, -1, 2
Let u(z) be the second derivative of -z**4/6 - 5*z**3/3 - 4*z**2 + 29*z + 1. Factor u(q).
-2*(q + 1)*(q + 4)
Let s(g) be the third derivative of -10/3*g**3 + 5/6*g**4 + 32*g**2 - 1/12*g**5 + 0*g + 0. Determine d, given that s(d) = 0.
2
Solve d**3 - 1/4*d**5 + 1/2 - 1/2*d**2 + 0*d**4 - 3/4*d = 0.
-2, -1, 1
Let u be 5 - ((5 - -2) + -4). Let z(s) be the first derivative of -1 - 3/7*s + 3/28*s**4 - 3/14*s**u + 1/7*s**3. Solve z(g) = 0.
-1, 1
Suppose 13 + 174 = 133*c - 79. Factor 1/6*q**c + 1/6*q + 0.
q*(q + 1)/6
Let y be (-72)/(-54)*2/(-4)*414. Let m = y + 276. Determine o, given that -4/3*o**2 + 0*o**4 + m - 2/3*o**5 + 0*o + 2*o**3 = 0.
-2, 0, 1
Suppose 0 = 6*p - 446 - 226. Let q = p + -445/4. Factor q*y - 1/4*y**2 + 0.
-y*(y - 3)/4
Suppose 4*t = 5*c - 24, -t + 7 = 6*c - 4*c. Solve -v**4 - 2*v**3 + 2*v**c - 14*v**2 + 15*v**2 = 0.
0, 1
Suppose 5*a = 10 - 5, -3*a = 2*u - 7. Let j(q) be the second derivative of 2/3*q**u + 2/9*q**3 + 1/36*q**4 + 0 - 4*q. Determine l, given that j(l) = 0.
-2
Let t be (-2 - (-24)/6)/(2/49). Let x = t + -46. Factor 1/2*o + o**x - 3/2*o**2 + 0.
o*(o - 1)*(2*o - 1)/2
Let n = 711/84389 + 663574409/277639810. Let x = 1/658 + n. Let -12/5*u + 3/5*u**2 + x = 0. Calculate u.
2
Let j(v) = -12*v**3 + 1299*v**2 - 27*v - 54. Let d(g) = -g**3 + 100*g**2 - 2*g - 4. Let i(z) = 27*d(z) - 2*j(z). Determine n, given tha