ctor l(i).
(i - 2)*(i - 1)*(i + 53)/2
Let r be (63/12)/((-5)/(-40)). Let i = r + -24. Factor 10*h**3 - 22*h**3 + 134*h**4 + i*h**2 - 12*h + 3 - 131*h**4.
3*(h - 1)**4
Factor -1/7*x**2 - 21316/7 - 292/7*x.
-(x + 146)**2/7
Let f(d) be the second derivative of -1/12*d**4 + 11/6*d**3 + 36*d + 0 - 9*d**2. Factor f(c).
-(c - 9)*(c - 2)
Let l = 71 + -67. Find t such that -21*t - 23*t + 2*t**4 + 14*t**3 + 2*t**3 - 56 + 42*t**2 + 36*t + l*t**3 = 0.
-7, -2, 1
Let s(p) be the first derivative of -10*p**3 - 268*p**2/3 + 8*p - 1917. Factor s(q).
-2*(q + 6)*(45*q - 2)/3
Let a be (2444/423)/26*(17 - -1). Factor -3/7*f + 0 - 3/7*f**5 - 18/7*f**3 - 12/7*f**a - 12/7*f**2.
-3*f*(f + 1)**4/7
Let s(f) = 72*f**3 - 66*f**2 + 20*f - 12. Let p(u) = 1. Let a(v) = -v**2 + 13*v + 12. Let z be a(10). Let d = z + -52. Let o(b) = d*p(b) - s(b). Factor o(g).
-2*(3*g - 1)**2*(4*g - 1)
Suppose 9*c - 5*c - 24 = 0. Let z be 24/c - (0 + 1). Find r such that 5*r**3 + 2*r**z + 6*r**2 + 3*r**3 - 12*r**3 - 4*r = 0.
0, 1, 2
Let i = 9841/6560 + -1/6560. Let k(w) be the first derivative of -3/4*w**4 + 3/2*w**2 + 0*w**3 - i*w + 9 + 3/10*w**5. Determine t, given that k(t) = 0.
-1, 1
Suppose 0 = -3*w - 3*q - 3, -2*w - 4*q + 2 = -3*q. Let p = -33 - -33. Determine k, given that 6/5*k**4 - 2/5*k**5 + 2/5*k**2 + 0 - 6/5*k**w + p*k = 0.
0, 1
Let f be ((-1)/15)/(-13 - (539/(-42) - 0)). Suppose 0 + 1/5*p**2 + f*p = 0. Calculate p.
-2, 0
Let o(r) = -6*r**2 + 28*r - 32. Let j(a) = a**2 - 263 - 2*a + 263. Let x(q) = 2*j(q) + o(q). Factor x(b).
-4*(b - 4)*(b - 2)
Let g = -167438 + 167440. Find r such that 3 + 1/4*r**g + 2*r = 0.
-6, -2
Let i(k) = -k**3 + 9*k**2 + 10*k. Let s be i(10). Let b be ((-21930)/810 + 27)*-27. Factor s - 14/9*d**3 + 22/9*d**b + 2/9*d**4 - 10/9*d.
2*d*(d - 5)*(d - 1)**2/9
Let b be (36/(-78))/(1170/(-5070)). Factor -1/5*u**3 + 0*u + 9/5*u**b + 0.
-u**2*(u - 9)/5
Let o be ((-11375)/(-10))/(-5)*-2. Suppose -o*f**2 + 3*f**3 + 22*f + 473*f**2 + 5*f = 0. Calculate f.
-3, 0
Let a(g) be the second derivative of g**5/110 + 13*g**4/11 - 27*g**3/11 - 158*g**2/11 - 133*g - 4. Factor a(k).
2*(k - 2)*(k + 1)*(k + 79)/11
What is l in -84*l**2 - 9*l**5 + 51*l - 4713*l**4 + 29*l - 10*l**3 + 4725*l**4 + 11*l**5 = 0?
-5, -4, 0, 1, 2
Factor 35*g + 246*g + 327 - 2*g**2 + 7*g - g**2 + 36*g.
-3*(g - 109)*(g + 1)
Determine b so that -18/19*b**3 - 120/19*b - 544/19*b**2 + 0 = 0.
-30, -2/9, 0
What is b in -2016/5*b + 24/5 - 1014/5*b**2 = 0?
-2, 2/169
Let a(b) be the second derivative of -23*b**4/20 - 38*b**3/5 - 63*b**2/10 - 4163*b. Factor a(z).
-3*(z + 3)*(23*z + 7)/5
Let g be (-1 - 2)/(-9) - 168/(-36). Factor -12*n**2 + g*n**2 + 6*n**2 - 12*n + 0*n**2.
-n*(n + 12)
Let c(s) be the first derivative of -s**3 - 90*s**2 - 2697*s + 1520. Factor c(z).
-3*(z + 29)*(z + 31)
Let b = 0 - -14. Suppose z = 8*z - b. Factor 7*f**3 + 7*f**2 + 3*f**4 + 5*f**z + 5*f**3.
3*f**2*(f + 2)**2
Let t(k) = -150 - 557*k**3 + 564*k - 410 + 377*k**2 + 545*k**3 + 21*k. Let x(l) = -3*l**3 + 95*l**2 + 146*l - 140. Let a(f) = -2*t(f) + 9*x(f). Factor a(g).
-(g - 35)*(g + 2)*(3*g - 2)
Let z(r) be the second derivative of -r**7/1995 + r**6/1140 + r**5/285 - 60*r**2 + r + 35. Let d(t) be the first derivative of z(t). Factor d(l).
-2*l**2*(l - 2)*(l + 1)/19
Let c(p) be the second derivative of -2*p**6/25 - 17*p**5/25 + 8*p**4/15 + 8*p**3/5 - 98*p. Suppose c(z) = 0. What is z?
-6, -2/3, 0, 1
Let f(k) be the second derivative of k**9/756 + 11*k**8/420 - 4*k**7/15 + 2*k**6/3 + 5*k**3 - 87*k. Let o(u) be the second derivative of f(u). Factor o(d).
4*d**2*(d - 2)**2*(d + 15)
Suppose -17 = -5*l - 2. Let z(n) = -2*n - 13. Let u be z(-9). Factor -8*w**4 + 0*w**4 + u*w**4 + w**3 - 7*w**l + 9*w**2.
-3*w**2*(w - 1)*(w + 3)
Let m(j) = 5*j**3 + 2*j**2 - 4*j. Let g = -15 - -21. Let h(a) = a**4 - 30*a**3 - 11*a**2 + 23*a. Let u = -1539 - -1573. Let v(i) = g*h(i) + u*m(i). Factor v(l).
2*l*(l - 1)**2*(3*l + 1)
Let o(q) be the third derivative of q**6/960 - 251*q**5/240 + 61985*q**4/192 + 64009*q**3/12 + 9*q**2 - 22*q - 6. Factor o(t).
(t - 253)**2*(t + 4)/8
Let f be 5/(-80)*674 + 6/48. Let s(t) = -t - 39. Let h be s(f). Factor -10/3*y**h + 2/3*y**4 + 0 + 10/3*y - 2/3*y**2.
2*y*(y - 5)*(y - 1)*(y + 1)/3
Let x(z) be the second derivative of z**5/4 - 5*z**4/3 - 355*z**3/6 - 165*z**2 + 341*z - 5. What is j in x(j) = 0?
-6, -1, 11
Let w(x) be the second derivative of x**5/10 + x**4 + 5*x**3/3 + x**2 - 2*x - 7. Let v be w(-5). Factor 3/5*a**3 - 3/5*a**4 + 0 + 3/5*a**v - 3/5*a.
-3*a*(a - 1)**2*(a + 1)/5
Suppose -201 - 129 = 3*c. Let x = 112 + c. Determine b, given that -2/19 + 0*b + 6/19*b**4 + 12/19*b**x - 16/19*b**3 = 0.
-1/3, 1
Let o(t) = t**3 - 2*t**2 - t + 57. Let n be o(0). Let r = n - 43. Factor -2*h**3 + 14*h + 4*h + 2*h**2 - r*h.
-2*h*(h - 2)*(h + 1)
Let t be (-395)/(-158) + 1/(-2). Let f(o) = 3*o - 15. Let q be f(5). Let q - 2/9*m**t + 0*m = 0. Calculate m.
0
Suppose -3*t + 1716 = -4*k, 13*t - 12*t + 422 = -k. Let h = -426 - k. Factor -6/17*b**3 + h*b**4 + 0*b + 0 - 4/17*b**2 + 2/17*b**5.
2*b**2*(b - 2)*(b + 1)**2/17
Let x(l) be the first derivative of -1/6*l**3 + 14 + 0*l + 1/10*l**5 + 1/8*l**4 - 1/4*l**2. Let x(t) = 0. Calculate t.
-1, 0, 1
Let r(b) be the third derivative of -5*b**8/336 + 5*b**7/42 + b**6/8 - 13*b**5/12 - 25*b**4/12 - 31*b**2. Solve r(v) = 0 for v.
-1, 0, 2, 5
Let f be 1/66300*8021 + 4/(-34). Let q(r) be the third derivative of 0*r**4 - r**2 + 0 + 0*r**3 + f*r**6 + 0*r + 1/150*r**5. Factor q(s).
2*s**2*(s + 1)/5
Let d(w) be the second derivative of -w**6/6 - 209*w**5/4 - 1035*w**4/4 - 3095*w**3/6 - 515*w**2 - 4916*w. Factor d(j).
-5*(j + 1)**3*(j + 206)
Let -1800 - 16176*c**2 + 178608*c - 6*c**3 - 17*c**3 - 13*c**3 - 167812*c = 0. Calculate c.
-450, 1/3
Let h = 227/26 - 1696/195. Let m(w) be the third derivative of h*w**6 - 1/105*w**7 + 21*w**2 - 1/3*w**4 + 0 - 4/3*w**3 + 0*w + 1/10*w**5. Factor m(r).
-2*(r - 2)**2*(r + 1)**2
Let l = -431 - -432. Let x = l + -1. Solve 0*k**2 + x - 1/4*k + 1/4*k**3 = 0 for k.
-1, 0, 1
Let o be (2/6 + 2/3)*5. Determine q, given that 484 - 14*q**5 - 2332*q - 76*q**4 - 856*q**3 - 165*q**4 + 5*q**4 + 2*q**o + 2952*q**2 = 0.
-11, 1/3, 1
Let 315/4*l**3 - 216 + 161*l**2 + 9*l**4 - 33*l + 1/4*l**5 = 0. Calculate l.
-24, -9, -2, 1
Solve -109*m**2 + 4*m**4 + 78*m + 180 + 18*m + 21*m**2 = 0 for m.
-5, -1, 3
Let b be (-314)/(((-64)/10)/((-92)/10)). Let z = -901/2 - b. Factor 1/2 - 19/8*t**3 - 1/8*t**5 + z*t**4 - 2*t + 25/8*t**2.
-(t - 2)**2*(t - 1)**3/8
Let j = 493 - 521. Let x be 7*8/j - -6. Suppose -6/7*a**x - 2/7 - 1/7*a**5 - 16/7*a**2 - 9/7*a - 2*a**3 = 0. What is a?
-2, -1
Factor 20/7 - 11/7*k**2 - 8/7*k - 1/7*k**3.
-(k - 1)*(k + 2)*(k + 10)/7
Suppose -8118 = -692*u + 248*u - 1106*u - 2509*u. Suppose -5/9*m**3 - 2*m**u - 8/3 + 68/9*m = 0. Calculate m.
-6, 2/5, 2
Suppose -6*c - 16 + 40 = 0. Suppose c*g - 16 = -0*g. Solve -g*k**3 + 259*k + k**3 - 256*k - 3 + 3*k**2 = 0.
-1, 1
Let x be 0*((-15)/(-6) + -3 + 0/2). Let z(l) be the third derivative of -3/5*l**5 + 0*l**3 + 0*l - 20*l**2 + x + 1/3*l**4. Factor z(k).
-4*k*(9*k - 2)
Let f be (8/3)/(3/9) - (165 + -161). Determine n, given that 32/15*n**2 + 0*n + 2/15*n**5 + 6/5*n**f + 0 + 16/5*n**3 = 0.
-4, -1, 0
Let q(f) = -2641*f**2 - f**3 - 1 + 1320*f**2 + 1322*f**2. Let a(w) = -w + 0 - 7*w**3 - 8 + 0 + 8*w**2. Let r(j) = -3*a(j) + 24*q(j). Factor r(c).
-3*c*(c - 1)*(c + 1)
Suppose 1917/4*u**2 + 8505/2*u + 107163/8 + 45/2*u**3 + 3/8*u**4 = 0. What is u?
-21, -9
Let r(z) be the second derivative of -z**5/20 - 5*z**4/12 - z**3/3 - 4*z**2 - 6*z. Let k be r(-5). Factor m**2 - 4*m**2 + 4*m**2 + 3*m**k.
4*m**2
Let v(q) be the second derivative of 49*q**4/12 - q**3/2 - 2*q**2 + 98*q - 1. Let j be v(-1). Determine s so that -8/3 - j*s**2 + 68/3*s = 0.
2/9, 1/4
Factor 24*v**4 - 2184*v**2 + 0 + 2/15*v**5 + 16562/15*v + 15836/15*v**3.
2*v*(v - 1)**2*(v + 91)**2/15
Let j be 5 - -1 - (5 + (-5 - -4)). Let 5*k**2 - 138 + 0*k**2 - k**3 + 19*k**j + 380 - 165*k = 0. Calculate k.
2, 11
Suppose 0 = -14*h - 0*h + 728. Suppose -h = -6*c - 7*c. What is g in 95*g**2 - 4*g**3 - 4*g**c - 2*g**3 - 97*g**2 = 0?
-1, -1/2, 0
Let d(f) be the first derivative of f**4/18 - 74*f**3/27 - 77*f**2/9 - 26*f/3 + 1310. Factor d(l).
2*(l - 39)*(l + 1)**2/9
Let g = 42171 + -33423. Suppose 4536/5*n**