+ 2)/7
Let l = 2570 + -2567. Let 21/5*r**2 + l*r**4 + 0 + 6/5*r + 27/5*r**3 + 3/5*r**5 = 0. Calculate r.
-2, -1, 0
Let o(y) be the third derivative of y**6/60 - 8*y**5/105 - 13*y**4/21 + 16*y**3/21 + 154*y**2. Factor o(l).
2*(l - 4)*(l + 2)*(7*l - 2)/7
Let k be -4 + 1/((-100)/35 + 3). Suppose -5*o - 8 = k*y - 3*o, 20 = 3*y - 5*o. Factor 0*f + 4/3*f**2 - 2/3*f**3 + y.
-2*f**2*(f - 2)/3
Solve -15/4*n**2 - 33/8*n + 3/8*n**3 + 0 = 0 for n.
-1, 0, 11
Let t(g) be the first derivative of -5*g**6/9 + 407*g**5/6 - 26755*g**4/12 + 88495*g**3/18 - 6125*g**2/3 - 6250*g/3 + 145. Find f such that t(f) = 0.
-1/4, 1, 50
Let v(l) be the second derivative of l**5/20 - l**3/6 - 95*l. Factor v(c).
c*(c - 1)*(c + 1)
Let c(q) be the third derivative of 0*q**3 + 1/21*q**4 - 4*q**2 + 0*q + 1/1176*q**8 + 0 + 2/105*q**5 - 2/735*q**7 - 1/140*q**6. Find l, given that c(l) = 0.
-1, 0, 2
Factor -30*h**3 + 10*h**2 + 77*h**5 + 5*h**4 - 15 + 72*h**5 - 144*h**5 + 25*h.
5*(h - 1)**3*(h + 1)*(h + 3)
Let d(j) be the third derivative of -3/4*j**3 - 1/80*j**6 + 0*j - 24*j**2 - 1/8*j**5 + 0 - 7/16*j**4. Factor d(c).
-3*(c + 1)**2*(c + 3)/2
Let s(c) be the third derivative of c**6/2340 + c**5/390 + c**4/156 + 5*c**3/3 - 9*c**2. Let j(i) be the first derivative of s(i). Find b such that j(b) = 0.
-1
Let t = -159963 + 19035404/119. Let q = t - -30/17. Factor 0 - 3/7*r**3 + 0*r + q*r**2 - 4/7*r**4.
-r**2*(r + 1)*(4*r - 1)/7
Let -84 - 21*c**2 + 52*c**2 - 27*c**2 - 22*c + 6*c = 0. Calculate c.
-3, 7
Let g(c) be the second derivative of -c**7/12 + 6*c**6/5 + 57*c**5/40 - 11*c**4/12 + 429*c. Let g(n) = 0. What is n?
-1, 0, 2/7, 11
Let y(q) be the second derivative of q**4/4 - 17*q**3 + 99*q**2/2 - 6*q + 10. Let y(s) = 0. What is s?
1, 33
Let v(u) be the third derivative of -7*u**2 + 1/15*u**3 + 0*u**5 + 1/600*u**6 + 0 + 0*u - 1/40*u**4. Factor v(b).
(b - 1)**2*(b + 2)/5
Let s(h) be the first derivative of -26*h**5/5 + 11*h**4/2 + 56*h**3/3 + 4*h**2 - 60. Find y such that s(y) = 0.
-1, -2/13, 0, 2
Let a(f) be the first derivative of 1/6*f**3 - 1/24*f**4 + 5 + 0*f**2 + 3*f - 3/40*f**5. Let q(k) be the first derivative of a(k). Factor q(m).
-m*(m + 1)*(3*m - 2)/2
Let n(j) be the third derivative of 11/420*j**7 - 2 - 1/96*j**4 + 11/240*j**6 - 21*j**2 + 1/12*j**3 + 0*j - 1/64*j**8 - 1/10*j**5. Determine u so that n(u) = 0.
-1, -2/7, 1/3, 1
Let x = -43770 - -43773. Suppose 2/7 - 3/7*m + 1/7*m**x + 0*m**2 = 0. What is m?
-2, 1
Let s = 41 + -29. Let p = s + -9. Factor l**2 - p*l - 7*l**2 + l.
-2*l*(3*l + 1)
Let g(d) be the third derivative of -23*d**7/280 - 29*d**6/20 - d**5/4 + 441*d**2. Factor g(u).
-3*u**2*(u + 10)*(23*u + 2)/4
Let p(w) be the second derivative of 0*w**3 + 1/42*w**7 - 1/20*w**5 + 36*w + 0*w**4 + 0*w**2 + 0 + 0*w**6. Factor p(n).
n**3*(n - 1)*(n + 1)
Factor 52/11*c - 53/11 + 1/11*c**2.
(c - 1)*(c + 53)/11
Let w be 9/(-9)*(-6)/3. Factor -w + 9*u + 6*u**2 + 175*u**3 - 16*u**2 - 172*u**3.
(u - 2)*(u - 1)*(3*u - 1)
Let m(p) = 2*p**2 + 248*p - 1832. Let t be m(-131). Factor 8/7*w - 8/7 + 6/7*w**t.
2*(w + 2)*(3*w - 2)/7
Let d be 3 + -1 - (-1 + -1). Suppose 7*q - d*q + z = 14, -4*z - 4 = -3*q. Find b such that -6*b + 5*b - q*b**2 + b = 0.
0
Let l(m) = 11*m**4 - 9*m**3 - 62*m**2 + 6*m**4 + 20 + 36*m + 2*m**4. Let a(n) = n**4 + n**2 - 1. Let j(w) = -4*a(w) + l(w). Find d, given that j(d) = 0.
-2, -2/5, 1, 2
Let v(r) be the first derivative of r**6/2 - 3*r**5/5 - 9*r**4/2 - 2*r**3 + 15*r**2/2 + 9*r + 423. Factor v(s).
3*(s - 3)*(s - 1)*(s + 1)**3
Factor 9/5*w**3 + 0 + 1/5*w**4 - 36/5*w**2 + 0*w.
w**2*(w - 3)*(w + 12)/5
Let l = -9 - -13. Factor -10 + 145*q**3 - 42*q**l - 7*q**4 - 165*q**2 + 4*q**4 + 75*q.
-5*(q - 1)**3*(9*q - 2)
Let t = 67 - 61. What is l in -7 - 2 + 3*l**2 + t = 0?
-1, 1
Let p = -311 - -315. Let k(i) be the first derivative of 2/5*i**5 + 0*i + p + 5/4*i**4 + 4/3*i**3 + 1/2*i**2. What is b in k(b) = 0?
-1, -1/2, 0
Let u(n) = n + 5. Let q be u(-2). Factor -2*s**3 + 4*s**4 + 3*s**3 + 10*s**3 + s**q.
4*s**3*(s + 3)
Let y be 4*(-8)/(1728/210) + (-10)/(-2). Determine j so that -4/9*j**4 - 8/9*j**2 + 0 - 2/9*j - y*j**3 = 0.
-1, -1/2, 0
Let s(o) be the third derivative of -1/12*o**4 - 7/150*o**5 + 0*o + 2/15*o**3 + 13*o**2 + 0. Factor s(u).
-2*(u + 1)*(7*u - 2)/5
Let m be 4 - 1 - 1488/624. Let t(a) be the second derivative of -1/13*a**4 + 4*a + 0 - 1/130*a**5 - m*a**2 - 4/13*a**3. Determine o so that t(o) = 0.
-2
Let i(n) = 8*n**4 + 7*n**3 + 12*n**2 - 5*n + 5. Let d be ((40/(-6))/4)/((-12)/36). Let h(b) = -b**4 + b**3 + b - 1. Let y(w) = d*h(w) + i(w). Solve y(p) = 0.
-2, 0
Let r = -34 - -36. Factor 6*l**4 - 6*l**3 + 3*l**5 - 2*l**5 - 3*l**3 - r*l**5.
-l**3*(l - 3)**2
Let i be (-5 - -5)/(-3) + 4. Factor 9 - 3*s**4 - 3*s**5 + i*s + 18*s**3 + 42*s**2 + 8*s + 21*s.
-3*(s - 3)*(s + 1)**4
Let w(v) be the second derivative of -1/6*v**3 + 0 + 0*v**2 + 4*v + 3/8*v**4. Suppose w(r) = 0. Calculate r.
0, 2/9
Let b(m) be the second derivative of 0*m**2 - 3/20*m**5 - 12*m - 1/25*m**6 - 1/10*m**3 + 0 - 1/5*m**4. Factor b(p).
-3*p*(p + 1)**2*(2*p + 1)/5
Let 30482*w - 5*w**2 + 24 - 30560*w - 288 + 2*w**2 = 0. Calculate w.
-22, -4
Let m = 4542 + -4540. Factor 1/2*y**3 + 10/3*y - 7/3*y**m - 4/3.
(y - 2)**2*(3*y - 2)/6
Suppose 0 = -10*n - 8*n + 36. Let o(m) be the second derivative of -n*m - 1/10*m**5 + 0 - 9*m**3 + 3/2*m**4 + 27*m**2. Factor o(t).
-2*(t - 3)**3
Let l(o) be the second derivative of -1/6*o**3 + 0 + 4*o + 0*o**2 - 2/35*o**5 + 3/28*o**4 + 4/315*o**6. Let a(v) be the second derivative of l(v). Factor a(s).
2*(4*s - 3)**2/7
Let r(u) be the first derivative of 2*u**3/21 + 26*u**2/7 - 54*u/7 + 4. Factor r(i).
2*(i - 1)*(i + 27)/7
Let k(c) be the first derivative of 8 - 100/9*c - 4/27*c**3 + 20/9*c**2. Factor k(a).
-4*(a - 5)**2/9
Let s(d) be the first derivative of -d**4/10 - 2*d**3 - 27*d**2/5 - 19*d + 26. Let u(b) be the first derivative of s(b). Factor u(z).
-6*(z + 1)*(z + 9)/5
Suppose -2*h = 5*c - 102, -h - 3*c = -4*c - 44. Let d = h - 46. Factor 0 + d*l - 3/4*l**3 + 3/2*l**2.
-3*l**2*(l - 2)/4
Let s(c) be the first derivative of 8*c - 2*c**2 + 5 - 4/3*c**3. Solve s(p) = 0.
-2, 1
Let n(q) be the third derivative of q**8/1344 - 17*q**6/480 + 3*q**5/20 - 5*q**4/24 - 326*q**2 + 1. Factor n(d).
d*(d - 2)**2*(d - 1)*(d + 5)/4
Let s(x) be the first derivative of 3*x**5/80 - 5*x**4/24 + 3*x**3/8 - x**2/4 + 12*x - 10. Let y(z) be the first derivative of s(z). Factor y(t).
(t - 2)*(t - 1)*(3*t - 1)/4
Let y(t) = t**3 - t**2 - t + 2. Let p be y(0). Let l be 188/28 + -5 + p/7. What is s in -1/3 + 1/6*s**3 - 2/3*s**l + 5/6*s = 0?
1, 2
Let n(m) be the second derivative of m**6/1980 - 7*m**5/660 + 5*m**4/66 - 17*m**3/6 - 13*m. Let w(v) be the second derivative of n(v). Factor w(s).
2*(s - 5)*(s - 2)/11
Let c(a) = 4*a + 106. Let g be c(-26). Let i(y) be the first derivative of 2/5*y**g + 1/15*y**3 + 3/5*y - 10. Factor i(l).
(l + 1)*(l + 3)/5
Let m(z) be the third derivative of z**6/240 + 5*z**5/12 - 53*z**4/12 + 18*z**3 - 6*z**2 - z. Factor m(l).
(l - 2)**2*(l + 54)/2
Let z be (17/(-34))/((-2)/16). Let q(g) be the second derivative of 1/6*g**z + 1/30*g**5 + 0 + 1/3*g**2 - 3*g + 1/3*g**3. Find r, given that q(r) = 0.
-1
Let g = 3497/4 + -3031/4. Let h = 117 - g. Suppose -2*i + 3/2 + h*i**2 = 0. Calculate i.
1, 3
Let x be ((-4)/5)/(1/(-5)). Find t, given that 40 + 32*t**3 + 8 - 222*t**x + 112*t + 226*t**4 + 92*t**2 = 0.
-3, -2, -1
Let q(a) be the second derivative of 0 - 8*a - 5/4*a**4 + 5/2*a**3 + 1/4*a**5 - 5/2*a**2. Factor q(s).
5*(s - 1)**3
Let m(u) be the third derivative of -1/18*u**4 - 1/27*u**3 + 0*u + 0 - 2/45*u**5 - 6*u**2 - 1/315*u**7 - 1/54*u**6. Find y, given that m(y) = 0.
-1, -1/3
Factor -3/2 - 9/4*i - 3/4*i**2.
-3*(i + 1)*(i + 2)/4
Let v(a) be the first derivative of -4*a**3/3 - 36*a**2 - 308*a - 150. Determine l so that v(l) = 0.
-11, -7
Let l(j) be the first derivative of j**4/18 - 4*j**3/3 + 11*j**2/3 - 32*j/9 - 545. Factor l(y).
2*(y - 16)*(y - 1)**2/9
Let v = 41/156 - 1/78. What is w in 0*w + 1/4*w**2 - 1/4*w**5 + v*w**3 - 1/4*w**4 + 0 = 0?
-1, 0, 1
Let n = 644/921 - 10/307. Suppose -b**2 + 1/3*b**3 + 1/3*b**4 + n - 1/3*b = 0. Calculate b.
-2, -1, 1
Let l(g) = -15*g**3 + 174*g**2 - 369*g + 111. Let y(k) = -k**3 + 11*k**2 - 23*k + 7. Let a(i) = 2*l(i) - 33*y(i). Factor a(s).
3*