 -9/7*w**t + 11/7*w - 2/7 = 0.
2/9, 1
Solve -1144379*n**2 - 60484*n**3 - 2166276*n**2 - 15365*n**4 + 245*n**5 + 9656461*n + 407619*n**3 + 2112139*n - 13718000 = 0.
20/7, 19
Let s be 84/((-3)/(21/(-196))). Factor -2/3*v**s + 0*v + 0 + 4/3*v**2.
-2*v**2*(v - 2)/3
Let h(s) be the third derivative of 0 - 6*s**2 + 0*s**3 + 1/13*s**6 - 125/156*s**4 + 2/195*s**7 + 1/2184*s**8 + 5/39*s**5 - 7*s. Factor h(k).
2*k*(k - 1)*(k + 5)**3/13
Suppose -81 = -3*n - 3*q + 69, -4*n = -2*q - 206. Factor -4606*f + 4 + n*f**2 + 19*f**2 + 4571*f - 25*f**3 - 14.
-5*(f - 2)*(f - 1)*(5*f + 1)
Let k = -3067 - -3084. Let o(t) be the first derivative of 5/3*t**3 - 5*t**2 + 5*t + k. Factor o(p).
5*(p - 1)**2
Let j(z) be the third derivative of -1/70*z**7 + 23*z**2 + 3/40*z**6 + 0 + z + 0*z**3 + 0*z**5 - 1/2*z**4. Factor j(n).
-3*n*(n - 2)**2*(n + 1)
Let m = 617 + -148. Let x = 3287/7 - m. Determine g so that x - 3/7*g - 1/7*g**2 = 0.
-4, 1
Let l be -15 + 501/33 - (-800)/(-5126). Let r = l - -902/1165. Factor 2/5 + 6/5*s + r*s**2.
2*(s + 1)*(2*s + 1)/5
Suppose -409*i + 2535 = -404*i. Factor 216*p**2 - 936*p - 32*p**2 - 3*p**2 + 72*p**3 + 173*p**2 + i + 3*p**4.
3*(p - 1)**2*(p + 13)**2
Let p be -16 - 203/(-14) - (-18)/4. Factor 192*n + n**p + n**3 - 36*n**2 + 667 - 987.
2*(n - 10)*(n - 4)**2
Let y(u) = -u**3 + u + 1. Let g(w) = 8*w**3 + 6*w**2 - 14*w - 5. Let c = 52 + -43. Suppose -3*r + 6 = c. Let j(d) = r*g(d) - 5*y(d). Factor j(k).
-3*k*(k - 1)*(k + 3)
Let r(x) be the second derivative of x**6/10 - 39*x**5/20 - 5*x**4 + 42*x**3 - 1048*x. Suppose r(g) = 0. What is g?
-3, 0, 2, 14
Suppose -n + 15 = -5*p, -2*n + 4*p = -18 - 0. Factor -40*o**4 - 2160*o**2 + 0*o**5 - 33*o + 648*o**3 - 14*o**4 + 2625*o - 30*o**4 + 4*o**n.
4*o*(o - 6)**3*(o - 3)
Let n = 212 - 184. Suppose -n*t = -2*t. Find q such that t*q - 3/7*q**2 + 1/7*q**3 + 0 = 0.
0, 3
Let t(c) = -3*c**4 + 9*c**3 - c**2 - 29*c + 31. Let y(j) = 7*j - 10 + 3*j - 3*j**4 + 4*j**4 + 3*j**3 - 6*j**3. Let r(o) = 2*t(o) + 7*y(o). Factor r(d).
(d - 2)**2*(d - 1)*(d + 2)
Let f be (1 - 38/20) + 1 + 7581/3990. Let z(q) be the first derivative of 7/12*q**f - 7 + 1/2*q**3 - 1/3*q. What is t in z(t) = 0?
-1, 2/9
Let v(o) be the third derivative of 1/360*o**5 + 25/18*o**3 + 3/16*o**4 + 0 + 6*o**2 + 0*o. Factor v(r).
(r + 2)*(r + 25)/6
Let s(x) be the second derivative of x**4/48 + 407*x**3/12 - 9089*x. Solve s(a) = 0 for a.
-814, 0
Let c be (35/(5250/(-60)))/(2 + (-22)/10). Find g such that -1/3*g**c + 34/3*g + 35/3 = 0.
-1, 35
Let r = 3102110/3 - 1034036. Factor 0 + r*n - 16/9*n**2.
-2*n*(8*n - 3)/9
Let f(q) be the first derivative of -q**4/20 - 45*q**3 + 1353*q**2/10 - 677*q/5 - 7903. Factor f(o).
-(o - 1)**2*(o + 677)/5
Let c be -2*(-104)/16 + (-15592)/1200. Let r(b) be the third derivative of 0 + 0*b + 1/20*b**3 - c*b**5 - 1/240*b**4 - 31*b**2. Determine p so that r(p) = 0.
-1, 3/4
Let d = -639438 - -639442. Solve 12/5*w**2 + 1/10*w**3 + 8/5*w - 3/5*w**d + 1/10*w**5 + 0 = 0 for w.
-1, 0, 4
Let n(r) be the third derivative of r**7/2100 - r**6/450 - r**5/100 + 31*r**3 - 10*r**2 - 8*r. Let t(z) be the first derivative of n(z). Factor t(g).
2*g*(g - 3)*(g + 1)/5
Let u(t) = t**2 + 141*t - 12. Let z(b) = 8*b**2 + 1127*b - 100. Let v(k) = -50*u(k) + 6*z(k). Let v(s) = 0. What is s?
-144, 0
Let r(i) be the second derivative of 2*i**5/15 + 71*i**4/3 + 283*i**3/12 + 53*i**2/6 - 3318*i. Factor r(l).
(l + 106)*(4*l + 1)**2/6
Let g = -66 - -71. Let v be (g/((-30)/9))/(2/(-4)). Suppose -21*n**2 + 12 - 3*n**v + 11*n**3 - 8*n**2 + n**2 + 8*n = 0. Calculate n.
-1/2, 1, 3
Let w be 6/(-30)*3 - (-6)/10. Suppose 2*v + 1 = -3*n, w*n - 27 = -3*v + 5*n. Factor -3*x**2 - 1/2 + 2*x + 2*x**3 - 1/2*x**v.
-(x - 1)**4/2
Factor 2886191 + 11970*q - 5157065 - 2*q**2 - 4893171 - 3*q**2.
-5*(q - 1197)**2
Let v(b) = -3*b**2 + 10*b - 40. Let g(t) = 7*t**2 - 30*t + 120. Let i(o) = 4*g(o) + 11*v(o). Suppose i(l) = 0. What is l?
-4, 2
Let x(i) be the first derivative of -3*i**4/16 + 13*i**3/12 - 9*i**2/4 + 2*i - 694. Factor x(j).
-(j - 2)*(j - 1)*(3*j - 4)/4
Let y(p) be the second derivative of -p**6/6 - p**5 + 15*p**4/4 + 30*p**3 + 1389*p. Let y(z) = 0. Calculate z.
-4, -3, 0, 3
Let a(t) be the second derivative of 1/11*t**4 - 21 - 13/11*t**3 + 30/11*t**2 - 2*t + 3/110*t**5. Factor a(b).
6*(b - 2)*(b - 1)*(b + 5)/11
Let i be 160/153 + 23604/(-28662). Factor -i*j**2 + 0 - 70/9*j.
-2*j*(j + 35)/9
Let d be (6 - 1046*(-2)/12)*3. Factor 14*r**4 + 65*r**4 + 5*r**5 - 108*r**2 + 405*r + 107*r**2 + 270*r**3 - 19*r**4 + d*r**2.
5*r*(r + 3)**4
Let q(l) = -14*l + 47. Let h be q(3). Find b such that 7*b**2 - 10 - h*b**2 - 295*b + 303*b = 0.
-5, 1
Suppose -37/2*u + 9/2*u**3 + 12 + 1/2*u**4 + 3/2*u**2 = 0. Calculate u.
-8, -3, 1
Determine z, given that 5566/5*z**5 - 418*z**4 - 2764/5*z**3 + 0 - 48/5*z - 664/5*z**2 = 0.
-6/23, -2/11, 0, 1
Let g(s) be the second derivative of s**6/150 + s**5/25 - s**4/20 - 3*s**3/5 + 272*s - 2. Factor g(j).
j*(j - 2)*(j + 3)**2/5
Let w(k) be the second derivative of 0 + 46*k - 1/2*k**3 + 9*k**2 + 3/20*k**5 - 7/4*k**4 + 1/10*k**6. What is t in w(t) = 0?
-3, -1, 1, 2
Suppose 22*j**2 - 129*j - 36*j**2 + 26 + 0 + 11*j**2 + 136*j = 0. Calculate j.
-2, 13/3
Suppose 26*o - r = 30*o + 1644, 5*r = -5*o - 2070. Let x be 5 - (o/(-46) + -4). Solve x*y**2 + 18/23*y + 0 = 0.
-9, 0
Let f(x) be the first derivative of -5*x**3/3 - 725*x**2/2 - 2130*x - 2889. Determine g so that f(g) = 0.
-142, -3
Suppose 0 = -5*m - 3*w + 93, -5*m + 4*w + 117 = w. Let q = 26 - m. Factor 36 + 2*y - 19*y + q*y + 0*y + y**2.
(y - 6)**2
Let z(c) be the first derivative of -2*c**3/3 + 139*c**2 + 1144*c - 6701. What is q in z(q) = 0?
-4, 143
Factor -3*w**3 - 1338560*w**2 + 187*w + 1338785*w**2 + 275*w.
-3*w*(w - 77)*(w + 2)
Let d be (12/10)/(10/50). Suppose -d*u - 27 = -15*u. Factor 4*q**4 - 3*q**3 + q**4 - 10*q**2 + q**3 - 3*q**u.
5*q**2*(q - 2)*(q + 1)
Let d(p) be the second derivative of p**4/60 + 27*p**3/10 - 83*p**2/5 - p + 66. Suppose d(b) = 0. What is b?
-83, 2
Let 174*o + 9*o - 9*o**4 + 108 - 89*o**3 - 14*o**3 - 179*o**2 = 0. Calculate o.
-9, -3, -4/9, 1
Let m be ((2552/(-3190))/(4/(-10)))/(1 - -7). Factor -m + 1/4*f**2 + 1/4*f - 1/4*f**3.
-(f - 1)**2*(f + 1)/4
Let g = -98445 - -689120/7. What is o in -32/7*o + g*o**3 + 6/7*o**2 - 32/7 - 1/7*o**4 = 0?
-2, -1, 4
Let b(d) = 0*d**2 - d**3 - 3 - 3*d**3 + 7*d**2 - 4*d**4 + 4*d. Let z(f) = 12*f**4 + 12*f**3 - 20*f**2 - 12*f + 8. Let c(q) = -8*b(q) - 3*z(q). Factor c(u).
-4*u*(u - 1)*(u + 1)**2
Let z be (-4)/(-3)*(-54)/(-36). Factor 35*v**3 + 8*v**2 - 298*v**z + 0*v**2 + 80*v.
5*v*(v - 8)*(7*v - 2)
Let f be -47 + 71 + 1110/(-60). Let 121/4 + 1/4*x**2 + f*x = 0. What is x?
-11
Let k(m) be the third derivative of 5*m**2 - 13/30*m**6 + 2*m**4 + 0*m - 8/15*m**5 + 0*m**3 - 2/35*m**7 - 6. Let k(q) = 0. What is q?
-3, -2, 0, 2/3
What is l in 2/17*l**2 - 88/17*l + 168/17 = 0?
2, 42
Let o(z) be the third derivative of 4/21*z**3 - 3*z - 1/210*z**6 - 2*z**2 + 0*z**5 + 0 + 1/14*z**4. Factor o(m).
-4*(m - 2)*(m + 1)**2/7
Let l(o) be the first derivative of 0*o**2 - 2/5*o**5 + 0*o - 16/3*o**3 - 3*o**4 + 47. Factor l(k).
-2*k**2*(k + 2)*(k + 4)
Let h(x) be the first derivative of -x**6/21 + 4*x**5/7 - 3*x**4/14 - 284*x**3/21 + 328*x**2/7 - 384*x/7 - 4482. Suppose h(w) = 0. Calculate w.
-4, 1, 2, 3, 8
Let i(p) be the second derivative of 32*p**5/25 + 248*p**4/15 + 1001*p**3/15 + 121*p**2 + p - 3. Determine j so that i(j) = 0.
-5, -11/8
Factor 96*j + 218*j + 5*j**4 - 5*j**2 - 279*j - 35*j**3.
5*j*(j - 7)*(j - 1)*(j + 1)
Let a(g) be the second derivative of -5*g**7/42 - g**6 + 3*g**5/2 + 35*g**4/3 - 75*g**3/2 + 45*g**2 - 552*g. Factor a(n).
-5*(n - 1)**3*(n + 3)*(n + 6)
Find d such that 0*d**3 + 25/3*d**2 + 0 - 1/3*d**4 + 0*d = 0.
-5, 0, 5
Let m be ((-8)/18)/((-861)/(-82)*(-16)/108). Suppose 2/7*w**3 - 2/7*w**2 - m*w + 2/7 = 0. What is w?
-1, 1
Suppose -71*k + 64*k = -21. Factor -5*x + x - 8*x - 104*x**2 + 56*x**2 - 21*x**k.
-3*x*(x + 2)*(7*x + 2)
Let t(p) be the first derivative of -2*p**3/3 + 359*p**2 - 1428*p + 8193. Solve t(l) = 0.
2, 357
Let v = -97487 - -97490. Solve -9/2*u**4 + 15/2*u**3 + 27/2*u + 39/2*u**2 - v*u**5 + 3 = 0 for u.
-1, -1/2, 2
Let j = 1902736/119 + -111924/7. Factor -2/17*t**2 - j*t + 16/17.
-2*(t - 2)*(t + 4)/17
Let k(y) = y**2 + 11*y -