t - 1)*(t + 1)
Let q be (-19600)/(-1750) + (-460)/50. Solve 0 - t**5 + 7/3*t**q + 1/3*t**3 - 7/3*t**4 + 2/3*t = 0.
-2, -1, -1/3, 0, 1
Suppose -2*q + 5*x = 21, x - 1 = -19*q + 21*q. Factor -8*o + o**3 + 13*o + q*o + 12*o - 20*o**2.
o*(o - 19)*(o - 1)
Factor 217/4*w - 433/4*w**2 + 215/4*w**3 + 1/4*w**4 + 0.
w*(w - 1)**2*(w + 217)/4
Suppose 4*p = -3*p + 1428. Let u = p - 138. Let -u*m - 3*m**2 + 132*m - 72*m = 0. Calculate m.
-2, 0
Factor 216*u**2 + 1/2*u**5 - 2*u**4 - 1107/2*u - 27*u**3 + 486.
(u - 4)*(u - 3)**3*(u + 9)/2
Let a(l) be the first derivative of 16/7*l + 8/21*l**3 + 16 - 1/28*l**4 - 10/7*l**2. Suppose a(x) = 0. What is x?
2, 4
Factor -136/9 - 2/9*t**2 - 14/3*t.
-2*(t + 4)*(t + 17)/9
Let h(o) be the first derivative of -o**5/30 + 5*o**4/12 + 12*o**3 + 109*o**2 - 112. Let d(a) be the second derivative of h(a). Factor d(v).
-2*(v - 9)*(v + 4)
Let m = -112740/7 + 16106. Let 242/7 - 44/7*a + m*a**2 = 0. Calculate a.
11
Let i(z) = -5*z**2 + 2*z + 2. Let k(j) = 21*j**2 - 11330*j - 8008910. Let w(t) = -5*i(t) - k(t). Solve w(v) = 0 for v.
-1415
Let n be -33*(5 - 6) - 2*-1. Let m be ((-2)/(-6)*7)/(6/18). Factor -45*u**2 + 33*u + n*u**3 - m*u**4 - 13*u + 2*u**4 - 5*u**3.
-5*u*(u - 4)*(u - 1)**2
Let b(q) = -247*q**5 - 93*q**4 + 893*q**3 + 13*q**2 - 26*q. Let t(x) = -62*x**5 - 23*x**4 + 223*x**3 + 3*x**2 - 6*x. Let d(w) = -3*b(w) + 13*t(w). Factor d(f).
-5*f**3*(f + 2)*(13*f - 22)
Factor 2291*g**3 - 371*g**3 - 230624*g**2 - 7*g**4 + 2*g**4 + 46304*g**2.
-5*g**2*(g - 192)**2
Let z(w) be the second derivative of w**5/240 - w**4/48 - w**3/8 - 163*w**2/2 + 105*w. Let r(f) be the first derivative of z(f). Factor r(y).
(y - 3)*(y + 1)/4
Let k(o) be the third derivative of 1/135*o**6 - 2/135*o**5 - 10*o**2 + 0 + 0*o + 0*o**3 + 0*o**4 - 1/945*o**7. Find f such that k(f) = 0.
0, 2
Suppose 3*z = -4*g + 22, 2*z = -13*g + 17*g - 12. Suppose 54*w + g = 56*w. Determine f so that -3/4*f**w + 3/4 + 0*f = 0.
-1, 1
Let s be 30/(-28)*(-3 - (153/(-85) + 2)). Suppose -3/7*i - 18/7*i**2 + s*i**5 + 18/7*i**4 + 0 - 3*i**3 = 0. What is i?
-1, -1/2, -1/4, 0, 1
Let h = -5017/2 + 52688/21. Let j = 85/126 - h. What is b in 8/9*b + 0 - j*b**3 + 0*b**2 = 0?
-2, 0, 2
Suppose -6586 = -5*j + y - 6590, 2*j + 2*y = 8. Let c(u) be the third derivative of j - 26*u**2 + 0*u - 1/3*u**5 + 0*u**3 - 2/3*u**4. Solve c(r) = 0 for r.
-4/5, 0
Solve -17*c**3 + 15516*c + 23*c**3 - 2644*c**2 + 46*c**3 + 4*c**4 - 12960 + 32*c**3 = 0.
-40, 1, 9
Suppose 4*d - z - 104 = -0*z, -z - 23 = -d. Let q be 6 - (6/d - 16/(-9)). Factor 7*w**q + 5*w + 7*w**3 - 12*w**4 - 12*w**3 - 10 + 15*w**2.
-5*(w - 1)**2*(w + 1)*(w + 2)
Let y(w) be the second derivative of -2*w**6/15 - 8*w**5 + w**4 + 236*w**3/3 - 160*w**2 - 789*w - 2. Solve y(s) = 0 for s.
-40, -2, 1
Let s be ((20 + -23)/(2*20))/((-18)/(-12))*-10. Solve 1/2*z**3 + 1/2 - 1/2*z**2 - s*z = 0.
-1, 1
Let w(m) be the second derivative of m**8/20160 + 19*m**7/3780 - m**4/6 - 4*m**3 - 53*m. Let u(x) be the third derivative of w(x). Factor u(r).
r**2*(r + 38)/3
Let 0 - 1/2*p**3 + 5/12*p**4 + 0*p**2 + 1/12*p**5 + 0*p = 0. What is p?
-6, 0, 1
Let a = 179 - 1223/7. Suppose -26*t + 32*t - 12 = 0. Find c, given that 0 - 6/7*c**t - a*c = 0.
-5, 0
Suppose 2*m = -2*m. Let v(l) = 59*l**2 + 414*l + 7. Let r be v(-7). Solve 2/11*z**5 + 0*z**3 + 4/11*z**4 + 0 + m*z**2 + r*z = 0.
-2, 0
Find b, given that 3/4*b**4 + 111/8*b + 15 - 63/2*b**2 + 15/8*b**3 = 0.
-8, -1/2, 1, 5
Suppose 3*m = -2*u - 146, -6*m + 5*m = 4*u + 42. Let a = 54 + m. Factor -5*x - 19*x**2 + 10*x**a + 9*x**2 + x**5 + 4*x**5.
5*x*(x - 1)*(x + 1)**3
Let l = 153/698 + 2505/7678. What is d in 0*d - l*d**3 + 0 + 4/11*d**2 = 0?
0, 2/3
Let l(p) = 20*p - 78. Let y be l(4). Let z be (8 - (-210)/(-25))/(y/(-10)). Find a such that 4*a**z + 2*a**3 + 1/3*a**4 + 0 + 8/3*a = 0.
-2, 0
Let u(g) = -g**4 + 29*g**3 + 6*g**2 - 26*g + 4. Let w(x) = -3*x**4 + 88*x**3 + 21*x**2 - 91*x + 14. Let s(j) = -7*u(j) + 2*w(j). Let s(l) = 0. What is l?
0, 27
Let b be (-10)/(-4)*186/3. Let l be 403/b + (-2)/(-5). Determine q so that 4*q**5 + 16*q**4 + q + 14*q**l - 8 - 8*q**2 + 2*q**3 - 21*q = 0.
-2, -1, 1
Determine r so that -1407*r - r**2 + 36 + 4222*r - 1404*r - 1406*r = 0.
-4, 9
Factor -3947*f**2 + 1966*f**2 + 1873*f**2 - 203*f - 261*f - 2*f**3 - 528 - 2*f**3.
-4*(f + 2)*(f + 3)*(f + 22)
Let -74/9*s + 2/9*s**2 + 60 = 0. Calculate s.
10, 27
Factor 224/15*c - 788/15*c**2 + 0 + 14/15*c**3.
2*c*(c - 56)*(7*c - 2)/15
Let q be 1*-5 - (9 - 9 - -1). Let c(o) = -o**3 - 10*o**2 - 24*o + 3. Let u be c(q). Factor -2/3*j**4 + 0*j + 4/3*j**2 - 2/3 + 0*j**u.
-2*(j - 1)**2*(j + 1)**2/3
Let o(u) be the second derivative of 3*u**5/80 + 897*u**4/16 + 25200*u**3 + 75264*u**2 - 3448*u. Factor o(g).
3*(g + 1)*(g + 448)**2/4
Let a(j) = j**2 - 163*j + 162. Let p(i) = -i + 1. Let w(v) = -2*a(v) - 4*p(v). Let w(o) = 0. What is o?
1, 164
Factor -66*h**2 - 7*h**3 - 1150 - 8*h**3 + 4*h**3 - 3*h**3 + 12*h**3 - 510*h.
-2*(h + 5)**2*(h + 23)
Let h(u) be the second derivative of -3/8*u**4 + 0*u**3 + 0*u**2 + 1/56*u**7 - 21/80*u**5 - 212*u + 0*u**6 + 0. Solve h(x) = 0 for x.
-2, -1, 0, 3
Let x(r) be the third derivative of -2*r**7/105 - 2*r**6/15 + 2*r**5 + 50*r**4/3 - 250*r**3/3 - 1577*r**2 - r. Solve x(g) = 0 for g.
-5, 1, 5
Let a(u) be the second derivative of u**5/4 - 215*u**4/12 - 1150*u**3/3 - 1040*u**2 + 9086*u. Factor a(m).
5*(m - 52)*(m + 1)*(m + 8)
Let i(d) be the third derivative of d**6/120 - 19*d**5/5 + 4407*d**4/8 - 12769*d**3/3 - 208*d**2. Factor i(f).
(f - 113)**2*(f - 2)
Let o be 1 - 2 - (648/(-567) + (-1)/(-7)). Let d(l) be the third derivative of 0 + 1/12*l**4 + 1/120*l**5 + 0*l**3 - 14*l**2 + o*l. Factor d(z).
z*(z + 4)/2
Let k be 1*(-5)/(-3) - (-4)/12 - (-730)/40. Find h, given that -81/4*h - 3/4*h**3 + 27/4*h**2 + k = 0.
3
Suppose 2260 = 2*f + w, 4*w + 95 = 2*f - 2145. Factor -10*m**2 + 3*m**2 - f - 3496 - 2*m**2 + 272*m + 5*m**2.
-4*(m - 34)**2
Let j(u) be the first derivative of 4*u**3/21 - 12*u**2 - 172*u/7 + 4356. Factor j(p).
4*(p - 43)*(p + 1)/7
Let y = 6527/44 + -5732/11. Let v = 373 + y. What is r in -1/4 - 1/2*r**2 + 3/4*r**4 - 1/2*r**3 + 3/4*r - v*r**5 = 0?
-1, 1
Let b be (6/72*(-48)/30)/(-60). Let i(u) be the third derivative of 0 - 1/45*u**4 + 0*u - 1/9*u**3 - 10*u**2 + b*u**5. Suppose i(t) = 0. What is t?
-1, 5
Let p be ((-60)/175)/(-6)*25/15. Let x(s) be the first derivative of 3/14*s**4 - 4/7*s + 2/35*s**5 + p*s**3 - 3/7*s**2 - 20. Suppose x(z) = 0. Calculate z.
-2, -1, 1
Let b(a) be the first derivative of a**3/8 - 539*a**2/16 - 45*a/2 - 1677. Factor b(z).
(z - 180)*(3*z + 1)/8
Let m(j) = 8*j**4 - 4*j**3 + 8*j**2 + 4. Let r = -6 - -2. Let u(z) = -7*z**3 - 18 - 557*z**2 + 574*z**2 + 27 + 17*z**4. Let h(i) = r*u(i) + 9*m(i). Factor h(k).
4*k**2*(k - 1)**2
Let v(i) be the first derivative of 0*i**3 + 0*i + 1/15*i**6 - 2/5*i**5 + 0*i**2 + 2/5*i**4 + 26. Solve v(k) = 0.
0, 1, 4
Let x be (-12)/(-15)*(-10)/(3/((-39)/52)). Factor 0 + 14/3*b**5 + 0*b + 8/3*b**3 + 32/3*b**4 + 0*b**x.
2*b**3*(b + 2)*(7*b + 2)/3
Let m be ((-216)/(-12) - 14) + (-1051)/(-1). Let k = m + -1055. Factor 4/15*l - 2/15*l**3 - 2/15*l**2 + k.
-2*l*(l - 1)*(l + 2)/15
Let l(g) be the first derivative of g**7/1960 + g**6/840 - 9*g**5/280 - 9*g**4/56 - 86*g**3/3 - 97. Let y(q) be the third derivative of l(q). Factor y(n).
3*(n - 3)*(n + 1)*(n + 3)/7
Let n(u) = -5*u**3 - 2*u**2 - 2*u. Let o(j) = 19*j**3 + 25*j**2 - 71*j + 63. Let m(r) = -12*n(r) - 3*o(r). Factor m(f).
3*(f - 9)*(f - 7)*(f - 1)
Let y(v) be the first derivative of -v**4/2 - 32*v**3/3 + 57*v**2 - 1800. Factor y(f).
-2*f*(f - 3)*(f + 19)
Let q = -25373 + 25383. Let b(x) be the first derivative of -15*x - 5/3*x**3 - 4 + q*x**2. Factor b(s).
-5*(s - 3)*(s - 1)
Let y = -43391 + 43395. Solve -2/5*h**y + 2 - 12/5*h + 12/5*h**3 - 8/5*h**2 = 0 for h.
-1, 1, 5
Let f(z) be the third derivative of -1/420*z**7 + 1/120*z**5 + 0*z**3 + 24*z**2 + 0 + 0*z**6 + 0*z**4 - 3*z. Factor f(p).
-p**2*(p - 1)*(p + 1)/2
Let g(y) be the second derivative of 1 + 7/15*y**4 - 7*y - 32/5*y**2 + 1/25*y**5 + 16/15*y**3. Factor g(i).
4*(i - 1)*(i + 4)**2/5
Let m be -59 - -182 - 8*1. Let d = m + -344/3. Factor 0 + 2/3*i**5 + 0*i + 0*i**2 + i**4 + d*i**3.
i**3*(i + 1)*(2*i + 1)/3
Let b(a) = a + 44. Let g be b(24). What is m in g*m**2 - 4*m**3 +