actor s(p).
2*(p + 1)**2/3
Let z be (4/(-14))/((-9)/63). Factor 2*c**3 + 0*c - 35*c - 4*c**3 - 40*c**z - 3*c**3.
-5*c*(c + 1)*(c + 7)
Factor 7917*s - 7675 + s**3 + 38*s**2 + 3012 + 68*s**2 + 74*s**2 - 11899.
(s - 2)*(s + 91)**2
Let u = 113957/23 - 4957. Let z = -116/69 - u. What is j in -z*j**3 + 0*j + 2/3*j**2 + 0 = 0?
0, 1
Let p(j) be the first derivative of j**4/28 - 23*j**3/21 - 53*j**2/14 + 75*j/7 - 4307. Find x, given that p(x) = 0.
-3, 1, 25
Let t(x) be the third derivative of 0*x + 0*x**3 - 9*x**2 - 5/32*x**4 + 3/80*x**6 + 2 - 1/448*x**8 + 1/20*x**5 - 1/70*x**7. Find d such that t(d) = 0.
-5, -1, 0, 1
Suppose 0 = -v - 3*t + 18 - 6, 2*t = 2*v - 48. Suppose v*p + 8 = 23*p. Factor 18*d**2 + 10*d**3 + 5*d**4 + 54*d + 27 + d**2 + 17*d**2 - 4*d**p.
(d + 1)*(d + 3)**3
Let h = -750 - -768. Suppose 132*w - h = 126*w. What is m in -15/2*m**4 + 0 - 5/2*m**w + 5/2*m**5 + 0*m + 15/2*m**2 = 0?
-1, 0, 1, 3
Let s = 248783/13 - 19137. Let b = 553 - 7185/13. What is d in b + 6/13*d + s*d**2 = 0?
-2, -1
Let u = -141323013779/2808 + 50328708. Let q = 1/216 - u. Let -2/13*b**4 - 12/13*b**3 - q - 24/13*b - 2*b**2 = 0. Calculate b.
-2, -1
Let r be ((-44)/8 - (14 - 1155/60))*(-12)/9. Solve -2/3*j**3 + r*j**5 + 1/3*j + 2/3 - 4/3*j**2 + 2/3*j**4 = 0.
-2, -1, 1
Let w = -417 - -466. Let j be (w - 53) + (-26)/(-5). Factor 3/5 + j*g + 3/5*g**2.
3*(g + 1)**2/5
Find f, given that 513*f**2 + 516 + 3/2*f**3 - 2061/2*f = 0.
-344, 1
Let p = -1690249 - -8451246/5. Factor 1/5*f**3 + 72/5 + 41/5*f**2 - p*f**4 + 111/5*f.
-(f - 8)*(f + 1)*(f + 3)**2/5
Let k(c) be the third derivative of -2*c**7/21 + 23*c**6/30 + 16*c**5/3 + 14*c**4/3 + 13*c**2 - 24. Solve k(l) = 0 for l.
-2, -2/5, 0, 7
Let r(s) be the first derivative of -s**4/32 + 567*s**3/4 - 964467*s**2/4 + 182284263*s - 4355. Factor r(c).
-(c - 1134)**3/8
Let c be -1 + (-46)/(-14) + -2. Let y(t) = t**2 + 1304*t - 290609. Let s be y(194). Factor -10/7*g**s + c*g + 2*g**2 - 6/7.
-2*(g - 1)**2*(5*g + 3)/7
Let y(a) be the second derivative of -a**5/70 + 31*a**4/42 + 100*a**3/21 + 68*a**2/7 - 2147*a. Factor y(t).
-2*(t - 34)*(t + 1)*(t + 2)/7
Find m such that 160/9 - 14/3*m + 2/9*m**2 = 0.
5, 16
Let r(j) be the third derivative of j**7/630 - j**6/30 + j**5/6 - 7*j**4/4 + 81*j**2. Let q(g) be the second derivative of r(g). Factor q(s).
4*(s - 5)*(s - 1)
Let q(x) be the first derivative of 2*x**3/51 + 990*x**2/17 + 1978*x/17 - 2848. Suppose q(s) = 0. Calculate s.
-989, -1
Let k(b) = -b**2 + 28*b - 98. Let i be k(5). Suppose -i*f - 20*f = -111. Determine y, given that 0*y - 9/8*y**2 - 3/8*y**f + 3/2 = 0.
-2, 1
Let j(f) be the second derivative of -6*f**5/5 - 11*f**4/2 + 9*f**3/2 + 27*f**2/2 + 7*f + 26. Factor j(i).
-3*(i + 3)*(2*i + 1)*(4*i - 3)
Let h(l) be the second derivative of -l**9/1512 - l**8/210 - l**7/84 - l**6/90 - 103*l**3/6 - 55*l. Let w(o) be the second derivative of h(o). Factor w(j).
-2*j**2*(j + 1)**2*(j + 2)
Let t = -4868 + 4905. Let i(g) be the second derivative of 0 - t*g - g**3 + 1/8*g**4 + 0*g**2. Let i(r) = 0. Calculate r.
0, 4
Let f = 101 - 99. Let o be -4292 - -4286 - (2/5 - (-892)/(-10)). Factor -1296/5*v**3 - 8/5 + o*v**f + 8/5*v.
-2*(8*v + 1)*(9*v - 2)**2/5
Let h(r) = -17*r**2 + 524*r + 1158. Let o(t) = 5*t**2 - 177*t - 386. Let a(p) = -2*h(p) - 7*o(p). Find z, given that a(z) = 0.
-2, 193
Let d(w) = -3. Let r(f) = 4*f**2 - 4320*f + 1166382. Let c(s) = -6*d(s) + r(s). Suppose c(m) = 0. What is m?
540
Let f(r) be the second derivative of -r**5/16 + 7*r**4/48 + 29*r**3/12 - 3*r**2 - 5*r - 36. Determine i, given that f(i) = 0.
-3, 2/5, 4
Let q = 4417263/4 + -1101339. Solve -1/8*l**4 - 250047/2*l - 63/2*l**3 - q*l**2 - 15752961/8 = 0.
-63
Let k(n) be the third derivative of n**6/240 + 29*n**5/40 + 7*n**4/4 - 43*n**3/3 - 6*n**2 - 92. Factor k(l).
(l - 1)*(l + 2)*(l + 86)/2
Let -561*o - 882 - 366 + 29*o**2 + o**3 - 21*o**2 - 347*o - 333*o = 0. Calculate o.
-39, -1, 32
Let m(h) be the first derivative of -3*h**4/4 + 9*h**3 + 15*h**2 - 3633. Suppose m(q) = 0. Calculate q.
-1, 0, 10
Suppose -39 + 9 = -5*f. Suppose 0 = f*m - 5*m - 4. Suppose -3*n**5 + 3*n - 309*n**2 + 0*n**3 - 6*n**m + 315*n**2 + 0*n**3 = 0. What is n?
-1, 0, 1
Let b(d) = 19*d**2 + 1020*d + 60. Let o(t) = 36*t**2 + 2040*t + 115. Let n(q) = -23*b(q) + 12*o(q). Factor n(x).
-5*x*(x - 204)
Let r(y) be the third derivative of 2*y**7/105 - 23*y**6/30 + 98*y**5/15 - 74*y**4/3 + 48*y**3 - 7*y**2 - 6*y. Factor r(j).
4*(j - 18)*(j - 2)**2*(j - 1)
Let t(d) be the third derivative of 195/4*d**4 - d**2 + 1/420*d**6 + 127/210*d**5 + 189*d**3 + 0 + 3*d. Factor t(m).
2*(m + 1)*(m + 63)**2/7
Let u(w) be the first derivative of 2/5*w**5 + 88/27*w**3 - 19/9*w**4 - 35 + 0*w - 8/9*w**2. Find v, given that u(v) = 0.
0, 2/9, 2
Let x(l) = l**3 + 11*l**2 - 122*l + 75. Let m be x(-18). Factor 2/3*k**m - 6*k**2 + 40/3*k + 0.
2*k*(k - 5)*(k - 4)/3
Let y(w) = -30*w + 482. Suppose 0 = 23*m - 253 - 115. Let v be y(m). Suppose -8*i - 1/2*i**3 + 0 - 4*i**v = 0. Calculate i.
-4, 0
Let y be -12 - 0 - (686/(-60) - 16/24). Factor 0 + 3/10*k**2 - 1/5*k - y*k**3.
-k*(k - 2)*(k - 1)/10
Solve 2*c**3 - 43 - c + 6*c**2 - 5 - 34*c - 26*c + 17*c = 0.
-6, -1, 4
Suppose 557*y**3 + 468*y + 58*y**4 + 992*y**2 + 12*y**5 + 172*y - 11*y**5 + y**5 - 149*y**3 = 0. Calculate y.
-20, -4, -1, 0
Suppose 13*g = 5*g + 144. What is o in 4*o**2 - 5*o**2 + 5*o**3 - 2*o + 20 - g*o - 4*o**2 = 0?
-2, 1, 2
Let u(o) be the first derivative of -1/2*o**4 + 2/3*o**3 + 0*o**2 - 107 + 0*o. Suppose u(k) = 0. What is k?
0, 1
Let m(n) be the first derivative of -3 + 2 + 36 - 45*n**2 - 2*n**4 + 32*n**3 + 22*n. Suppose m(s) = 0. Calculate s.
1/2, 11
Let f be (120/130)/((-375)/(-1625)). Determine w, given that -14/13*w**f - 54/13*w**2 + 4*w**3 + 8/13 + 8/13*w = 0.
-2/7, 1, 2
Suppose 66*x + 55*x = -140*x. Let j(m) be the first derivative of 2/25*m**5 + 14 + 3/10*m**4 + 0*m - 4/5*m**2 + x*m**3. Determine z so that j(z) = 0.
-2, 0, 1
Let y = 7787 + -31145/4. Let j(u) be the second derivative of 15*u + 0 + 7/8*u**4 - 3/8*u**5 - y*u**3 + 1/20*u**6 + 0*u**2. Factor j(s).
3*s*(s - 3)*(s - 1)**2/2
Suppose 0 = 5*x - 5*z - 135, -x + 47 = 10*z - 15*z. Let l(u) be the first derivative of -x + u - 4/3*u**3 + 1/4*u**2 + 5/8*u**4. Factor l(f).
(f - 1)**2*(5*f + 2)/2
Let o = -921 - -931. Let r be 598/o + (-74)/(-370). Find a such that -80*a**2 + r*a**3 + 5/2*a**5 + 0 - 20*a**4 + 40*a = 0.
0, 2
Factor 2998/9*p + 1502/9*p**2 + 1498/9 + 2/9*p**3.
2*(p + 1)**2*(p + 749)/9
Factor -11*p**3 - 203/3*p + 55*p**2 - 49 + 2/3*p**4.
(p - 7)**2*(p - 3)*(2*p + 1)/3
Let 80*k**5 + 256160960*k + 381640*k**4 - 682944785*k**2 + 454867085*k**3 - 4353540 - 16214395 - 7897045 = 0. What is k?
-2386, 1/4, 1
Let f = -304 + 266. Let n be -2*2/28*(f + 36). Factor 2/7*k**3 + 0*k**2 + 0 - n*k.
2*k*(k - 1)*(k + 1)/7
Let m = -342 - -371. Let o(w) = w**2 - 31*w + 60. Let p be o(m). Solve -1/5*q - 1/5*q**p + 2/5 = 0 for q.
-2, 1
Factor -172/5*c + 26/5*c**2 + 2/5*c**3 + 144/5.
2*(c - 4)*(c - 1)*(c + 18)/5
Let f = 176301/2 + -88140. Find x, given that f*x**3 + 0*x**2 + 0*x + 3/2*x**4 + 0 = 0.
-7, 0
Let w(i) be the third derivative of 0*i + 0*i**3 + 0 + 0*i**4 + 1/15*i**5 - 2/105*i**7 + 85*i**2 + 1/168*i**8 - 1/60*i**6. Factor w(x).
2*x**2*(x - 2)*(x - 1)*(x + 1)
Let i(a) be the first derivative of -5*a**3/9 - 2320*a**2/3 - 1076480*a/3 - 678. Suppose i(d) = 0. What is d?
-464
Let l(n) be the third derivative of -n**5/30 - 4*n**4/3 - 28*n**3/3 + 60*n**2. Determine z, given that l(z) = 0.
-14, -2
Suppose 33*j - 19*j + 20720 = 0. Let r = 1482 + j. Factor 10/3*c**r + 23/3*c - 8/3*c**3 + 5/3.
-(c + 1)*(2*c - 5)*(4*c + 1)/3
Let f = 81 + -78. Suppose 6*k = f + 9. Solve 0*r**k + 2*r**4 - 8*r + 3*r**4 - r**4 - 12*r**2 = 0.
-1, 0, 2
Factor -165*m - 167*m - 535 + 0*m**2 - 4*m**2 - 113.
-4*(m + 2)*(m + 81)
Let m(c) be the third derivative of 1/390*c**5 - 19/156*c**4 + 0*c - 4 + 14*c**2 + 6/13*c**3. Let m(n) = 0. What is n?
1, 18
Let s be 208/(-20) + 32/240. Let q = s + 53/5. Factor -7/3 + 8/3*y - q*y**2.
-(y - 7)*(y - 1)/3
Find j, given that -3*j**3 + 690 - 62 + 864*j + 78*j**2 + 5*j**3 + 1581 + 735 = 0.
-23, -8
Suppose -22 - 26 = -3*p. Let r = 89 - 85. Determine o so that p*o + 9 - r*o + 10*o**2 - 7*o**2 = 0.
-3, -1
Let w(l) be the first derivative of 1/6*l**3 - 140 + 7*l + 9/4*l*