actor -1 - 1/2*u**3 + 7/4*u**w - u.
-(u - 2)**2*(2*u + 1)/4
Let q(v) be the third derivative of -v**5/20 + 11*v**4/4 - 121*v**3/2 + 749*v**2 - 2*v. Factor q(u).
-3*(u - 11)**2
Let u(z) be the second derivative of 13*z**5/140 - 337*z**4/42 + 4342*z**3/21 + 676*z**2/7 + 188*z - 2. Determine s so that u(s) = 0.
-2/13, 26
Let n(p) be the first derivative of -45*p**5/7 - 265*p**4 + 7744*p**3/21 - 184*p**2 + 272*p/7 + 4555. Suppose n(q) = 0. What is q?
-34, 2/9, 2/5
Let s(r) = 11*r**2 + 20*r - 95. Let a be s(10). Let f = -1203 + a. Determine p so that -112/3*p + 32/3 - 20/3*p**3 + 88/3*p**f = 0.
2/5, 2
Let t be (-158 - -124)/(((-240)/9)/10). Suppose 3/4*y**5 - 5/2*y**4 + 8*y**2 + 9/2 - 7/2*y**3 + t*y = 0. Calculate y.
-1, -2/3, 3
Let w = 1252/5313 + 38/759. Factor -120/7*d - w*d**3 - 4*d**2 - 144/7.
-2*(d + 2)*(d + 6)**2/7
Suppose 3*l + 5*s - 4*s = 29, l - 15 = -3*s. Suppose -l*k + 13 = -14. Let -6/7*o**k + 0 + 4/7*o**2 + 2/7*o**4 + 0*o = 0. What is o?
0, 1, 2
Let l = 3225 + -6449/2. Let f(r) be the first derivative of 8 + 3/4*r**2 - l*r**3 + 0*r. Factor f(y).
-3*y*(y - 1)/2
Factor 121/4 - 61/2*w + 1/4*w**2.
(w - 121)*(w - 1)/4
Let 691*r + 89*r**2 + 756900 - 173*r + 263*r + 959*r - 88*r**2 = 0. Calculate r.
-870
Find c, given that 110 - 367*c**3 + 1855*c**2 - 873*c + 122*c**3 - 127*c + 30 = 0.
2/7, 7
Let m(u) be the second derivative of 1/240*u**6 - 1 + 1/24*u**3 - 3*u - 1/80*u**5 + 0*u**2 - 1/96*u**4. Factor m(d).
d*(d - 2)*(d - 1)*(d + 1)/8
Suppose -386*t**2 + 495 + 65 - 10*t**3 + 501*t - 1745*t + 0*t**3 = 0. Calculate t.
-35, -4, 2/5
Factor 0 + 6*p - 154/5*p**3 - 4/5*p**2.
-2*p*(7*p - 3)*(11*p + 5)/5
Let g be ((-21)/(-4) - (9 + -4))*(-2176)/(-408). Determine l, given that -g + 34/9*l + 2/3*l**2 = 0.
-6, 1/3
Let v(r) = -12*r + r**2 + 197 + 189 - 424. Let c(m) = 3*m**2 - 24*m - 77. Let l(x) = 2*c(x) - 5*v(x). Suppose l(i) = 0. Calculate i.
-6
Determine y so that -789 - 199*y**2 + 1701 + 452*y + 197*y**2 = 0.
-2, 228
Let u be 44/(-77)*-27*(-18)/(-27). Factor -u*f**3 - 792/7*f + 363/7 + 3/7*f**4 + 498/7*f**2.
3*(f - 11)**2*(f - 1)**2/7
Let v be (-8)/(-1*2) + (-326685)/9900 + 29. Let n(t) be the third derivative of 0*t + 22*t**2 + 0 + 1/165*t**5 - 1/132*t**4 + 0*t**3 - v*t**6. Factor n(h).
-2*h*(h - 1)**2/11
Suppose -19*w + 4*w + 45 = 0. What is x in 3*x**4 + 5*x**3 - x**w - 10*x**3 - 3*x**5 + 6*x**4 = 0?
0, 1, 2
Suppose 121 = -10*w + 161. Let o(m) be the first derivative of -m**2 + 6 + 3/5*m + 4/5*m**3 - 3/10*m**w + 1/25*m**5. Factor o(k).
(k - 3)*(k - 1)**3/5
Let f(o) be the first derivative of -o**6/39 - 2*o**5/65 + 5*o**4/26 - 2*o**3/13 + 1605. Determine j, given that f(j) = 0.
-3, 0, 1
Let t(g) be the first derivative of 9*g**3 - 381*g**2 + 168*g + 1998. Factor t(z).
3*(z - 28)*(9*z - 2)
Let j(w) be the second derivative of -w**7/3 + 2*w**6/15 + 7*w**5/5 - 2*w**4/3 - 7*w**3/3 + 2*w**2 - w - 55. Solve j(i) = 0 for i.
-1, 2/7, 1
Let j be ((-24)/(-340))/(28/(5600/30)). Find r, given that 38/17*r**3 - j*r + 0 - 16/17*r**2 - 14/17*r**4 = 0.
-2/7, 0, 1, 2
Let v(s) be the third derivative of 0*s - 2*s**3 - 116*s**2 + 4/9*s**4 + 0 - 1/36*s**5 - 1/360*s**6. Factor v(h).
-(h - 2)**2*(h + 9)/3
Factor -3 + 54/7*k**2 + 33/7*k.
3*(k + 1)*(18*k - 7)/7
Let k(d) = -5*d**2 + 5288*d - 5315. Let f(t) = -25*t**2 + 21141*t - 21260. Let a(b) = -2*f(b) + 9*k(b). Suppose a(x) = 0. Calculate x.
-1063, 1
Let w(r) = 8*r**2 - 89*r + 15. Let z be w(11). Suppose 0 = z*b - 11*s - 56, -15*b + 1 = -20*b - 4*s. Factor 8/3*i**2 + 0 - i + 0*i**4 - 2*i**b + 1/3*i**5.
i*(i - 1)**3*(i + 3)/3
Factor 188/3*c**2 - 755/6*c + 63 + 1/6*c**3.
(c - 1)**2*(c + 378)/6
Let l = -122 - -125. Let r(j) be the third derivative of -1/48*j**4 + 0*j + 0*j**l - 1/60*j**6 + 7/240*j**5 + 1/280*j**7 + 0 - 5*j**2. Factor r(p).
p*(p - 1)**2*(3*p - 2)/4
Let l be 341894/(-4)*-10*(-21)/569870. Let g = 3/1163 - l. Suppose -3 - 45/2*a - 123/2*a**3 - g*a**4 - 111/2*a**2 - 6*a**5 = 0. What is a?
-2, -1, -1/4
Let h be 0/((-52)/104*(-12)/(-2)). What is g in -4/7*g**2 + 6/7*g + h - 2/7*g**3 = 0?
-3, 0, 1
Let z = 817 - 814. Factor 854*i**z + 142 + 419904*i + 4*i**5 - 142 + 288*i**4 + 6922*i**3 + 93312*i**2.
4*i*(i + 18)**4
Let c(n) be the first derivative of n**4 + 682*n**3/3 + 14276*n**2 - 44376*n - 4032. Factor c(v).
2*(v + 86)**2*(2*v - 3)
Let l(g) = g**3 + 33*g**2 + 29*g - 84. Let u be l(-32). Let z be (-5 - 3*u/(-7)) + 1. Find w such that -12/7*w - z + 3/7*w**3 + 1/7*w**4 - 2/7*w**2 = 0.
-2, -1, 2
Let m(a) = 7*a**4 + 5*a**3 - 102*a**2 + 196*a - 91. Let n(k) = 3*k**4 + 2*k**3 - 51*k**2 + 98*k - 46. Let u(g) = 2*m(g) - 5*n(g). Factor u(i).
-(i - 6)*(i - 1)**2*(i + 8)
Let w be ((-175)/(-40) + -4)/(((-12516)/336)/(-149)). Let n be (-3 + 0)/((-9)/12). Factor -1/4*m**5 + w*m**n + 0*m - 9/4*m**3 + m**2 + 0.
-m**2*(m - 4)*(m - 1)**2/4
Let n(t) be the first derivative of -t**3/15 - 74*t**2/5 - 143*t + 1764. Let n(q) = 0. Calculate q.
-143, -5
Let n = 28190 + -28187. Factor c**n + 0 + 0*c**2 - 1/3*c**4 + 0*c.
-c**3*(c - 3)/3
Let t be 1*(-3)/((-46392)/16). Let s = t - -1929/3866. Solve -s*l**2 - 1/2*l**3 + 1/4*l + 1/4*l**4 + 1/4 + 1/4*l**5 = 0 for l.
-1, 1
Let f(g) = -g**2 + 21*g - 96. Suppose v + 8 = -5*h + 15, 3*h - 21 = -3*v. Let l be f(v). Suppose 0*j + 3/5 - 3/5*j**l = 0. Calculate j.
-1, 1
Let z(v) be the third derivative of -3/2*v**4 + 0*v + 0*v**3 + 1/168*v**8 - 1/21*v**7 + 36*v**2 + 7/10*v**5 + 1/60*v**6 + 0. Find r such that z(r) = 0.
-2, 0, 1, 3
Suppose -6314 = 9*s + 6529. Let o = s - -1430. Factor -8/3*a + 4/3*a**5 - 4*a**o + 0 + 4/3*a**4 - 20/3*a**2.
4*a*(a - 2)*(a + 1)**3/3
Let z(q) be the second derivative of 0*q**3 + 0*q**2 + q - 1/15*q**6 - 1/5*q**5 - 53 - 1/6*q**4. Factor z(m).
-2*m**2*(m + 1)**2
Suppose -y = -2*o - 2*o + 2, 47 = -o + 5*y. Suppose -3/8*a**4 + 0*a**o + 27/8*a**2 - 3/2*a - 9/2 = 0. Calculate a.
-3, -1, 2
Let j be (-17 - -23) + (-2)/((-60)/627). Let c = j + -132/5. Factor c*g**2 - 3 + 1/2*g.
(g - 2)*(g + 3)/2
Find j, given that -500 + 160*j**2 + 8*j**3 + 1000/3*j - 4/3*j**4 = 0.
-5, 1, 15
Determine s, given that -2/11*s**3 - 32/11*s**2 + 202/11*s - 168/11 = 0.
-21, 1, 4
Let t = -96/4507 + 9878/40563. Suppose 0 - 2/9*x**3 - t*x**2 + 0*x = 0. What is x?
-1, 0
Let r be 16/(-20)*(-40)/16. Let f(x) be the third derivative of 0 + 0*x**4 + 13*x**r + 0*x**3 + 0*x - 1/105*x**6 - 1/70*x**5 - 1/735*x**7. Factor f(w).
-2*w**2*(w + 1)*(w + 3)/7
Suppose 43*z**3 - 92*z - 24 + 40*z**4 + 55*z**4 - 104*z**4 + 82*z**2 = 0. Calculate z.
-2, -2/9, 1, 6
Let i be (-8)/6 + 70/45. Let v(r) be the second derivative of 4/9*r**3 + 2/45*r**6 - 8/9*r**4 + 2*r + i*r**5 + 0 + 10/9*r**2. What is m in v(m) = 0?
-5, -1/3, 1
Suppose 55*h - h**3 - 232*h - 91*h + 210*h**2 + 5*h**3 + 46*h**2 - 520 = 0. Calculate h.
-65, -1, 2
Let h = 4252 - 4250. Let z(u) be the third derivative of 11/120*u**6 - 2/15*u**5 + 0*u**3 - 1/70*u**7 - 1/6*u**4 - h*u**2 + 0 + 0*u. Solve z(o) = 0.
-1/3, 0, 2
Solve -72000 - 103*r**3 - 5*r**4 + 449*r**3 + 0*r**4 + 34800*r - 181*r**3 + 125*r**3 - 5405*r**2 = 0 for r.
5, 24
Suppose -1728*f - 3 = -5*i - 1729*f, -4*f = -5*i + 38. Factor 3 - 13/4*m + 1/4*m**i.
(m - 12)*(m - 1)/4
Let q = -52280 + 365962/7. Factor 0 - q*z**2 - 22/7*z.
-2*z*(z + 11)/7
Let o(b) = 13*b**3 - 22*b**2 - 457*b + 2454. Let i(j) = 30*j**3 - 45*j**2 - 915*j + 4910. Let h(c) = -2*i(c) + 5*o(c). Factor h(d).
5*(d - 7)**2*(d + 10)
Suppose 72*i + 4087 + 3*i**2 + 4270 - 8600 = 0. Calculate i.
-27, 3
Let d = 47 + -53. Let s be 3/(-72)*d - 1306/(-24). Suppose -20*w**5 - 52*w**3 + s*w**4 + 0 - 8/3*w + 20*w**2 = 0. What is w?
0, 1/3, 2/5, 1
Let i = -4968 - -4991. Let r(z) be the second derivative of -1/7*z**2 + 0 - 2/21*z**3 + i*z - 1/42*z**4. Let r(m) = 0. Calculate m.
-1
Let q be -683 - -743 - 58*1. Determine p so that 1/6*p**4 - 4*p**3 + 0 - 256/3*p + 32*p**q = 0.
0, 8
Let y = -87 + 105. Let m(q) = 41*q - 736. Let s be m(y). Let 2/5*k**s + 18/5*k + 28/5 = 0. Calculate k.
-7, -2
Let x(o) = o + 1. Suppose -5*p = 8 + 2. Let s be (-2 - 22/(-5))/((-6)/15). Let b(z) = 3*z**2 + z - 7. Let m(n) = p*b(n) + s*x(n). Suppose m(l) = 0. Calculate l.
-2, 2/3
Suppose 3*u = 2*l + 6, 0 = -47*l + 52*l - 15. Let b(q) be the first derivative of 0*q**2 - 1/6*q**u - 1/9*q**3 - 18 + 0*q - 1/15*q**5. Factor b(o).
-o**2*(o + 1)**2/3
Let g(l) = 9*l**4 + 9*l**3 + l**2 - 21