*t - 35 = 0. Let -6 - f*y + 0*y + y**3 + y = 0. Calculate y.
-2, -1, 3
Let o be ((-68)/(-9))/((-4)/(-48) + (-35)/(-28)). Let b(l) be the second derivative of -4*l**2 + o*l**3 - 8/3*l**4 + 3/10*l**5 + 0 + 13*l. Factor b(c).
2*(c - 4)*(c - 1)*(3*c - 1)
Let a(t) = 72*t**3 + 2*t**2 - 1. Let s be a(1). Suppose s - 53 = 2*r. Factor -81*n**2 + r*n - 4*n**3 + 45*n**2 + 38*n**2 + 4.
-2*(n - 2)*(n + 1)*(2*n + 1)
Let j be (-5)/(-20)*(666 - -2). Let k be (-12)/4 + 3 + 1*j. Determine b, given that 172*b**3 + 5*b**2 - 30*b**2 - k*b**3 + 2*b + 18*b = 0.
0, 1, 4
Suppose 6*y = 4*y + 7*y. Suppose 8*r - 8 - 32 = y. Factor 11 - 11 - 15*j**4 + 10*j**4 - r*j**3 + 10*j**2.
-5*j**2*(j - 1)*(j + 2)
Determine l so that -18/13*l**2 + 0 + 0*l + 30/13*l**3 - 14/13*l**4 + 2/13*l**5 = 0.
0, 1, 3
Determine t so that 249/2*t**2 + 306*t - 3/2*t**5 + 150 - 141/2*t**3 - 81/2*t**4 = 0.
-25, -2, -1, 2
Let b(y) be the third derivative of -y**9/3780 + y**8/560 + y**7/63 + 17*y**4/8 - 13*y**2 - y. Let t(x) be the second derivative of b(x). What is u in t(u) = 0?
-2, 0, 5
Let u be 0 - 1*(-2 - 0). Suppose -5*h = -4*m + 183, 3*m + 0*h + u*h - 143 = 0. Determine s, given that 20*s + 101 - 16*s**2 - 4*s**3 - m - 54 = 0.
-5, 0, 1
Let k = 22234 - 22234. Let v(x) be the first derivative of -1/27*x**6 + 1/9*x**4 + 0*x**3 - 1/9*x**2 + k*x**5 + 0*x - 22. Factor v(a).
-2*a*(a - 1)**2*(a + 1)**2/9
Let w(o) be the first derivative of -12/5*o**3 + 0*o - 16 + 6/5*o**4 + 8/5*o**2 - 4/25*o**5. Determine j, given that w(j) = 0.
0, 1, 4
Let t(p) be the first derivative of p**4/6 + 512*p**3/9 - 515*p**2/3 + 172*p + 2942. Factor t(a).
2*(a - 1)**2*(a + 258)/3
Factor -201*z**2 - z**3 - 2*z**3 - 15*z**3 - 768*z - 756 + 22*z**3 - 7*z**3.
-3*(z + 2)**2*(z + 63)
Let u(d) be the third derivative of -16/9*d**3 - 1/90*d**5 + 0*d - 17/36*d**4 - 6*d**2 + 0. Determine v so that u(v) = 0.
-16, -1
Let r(o) = 8*o - 180. Let s be r(23). Determine u, given that -3*u**5 - 22*u**s - 14*u**5 + 88*u**2 - 96*u**3 - u - 27*u + 62*u**4 + 13*u**5 = 0.
0, 1, 7
Suppose 8*c + 0*c = -120. Let w be (-376)/(c/(-4) + -4). Determine i so that -1504 + 7*i**2 + 6*i**3 + w + i = 0.
-1, -1/6, 0
Let k(u) be the first derivative of -7*u + 1/21*u**3 - 8 - 5/126*u**4 + 2/21*u**2. Let y(b) be the first derivative of k(b). Determine l, given that y(l) = 0.
-2/5, 1
Let x(t) be the first derivative of t**7/3780 + t**6/810 - t**5/180 - 26*t**3/3 - 36. Let i(w) be the third derivative of x(w). Factor i(u).
2*u*(u - 1)*(u + 3)/9
Suppose 194*x - 18780 = -6066*x. Solve 2/3*p - 2/3 - 1/6*p**4 - 1/3*p**x + 1/2*p**2 = 0.
-2, 1
Let f be (-6)/(-7) - ((-30012)/(-427) + -72). Find l, given that f*l**4 + 0 + 8/7*l - 40/7*l**2 + 2*l**3 = 0.
-2, 0, 2/9, 1
Suppose 3*y - 12*b - 3393 = -9*b, 2277 = 2*y + 3*b. Let l = y + -1134. Factor -1/5*k**2 - 2/5*k + l.
-k*(k + 2)/5
Let x(k) be the second derivative of -k**4/28 + 102*k**3/7 - 15606*k**2/7 - 754*k. Let x(y) = 0. What is y?
102
Let r(i) be the first derivative of -i**4/8 + 3*i**2/4 + i + 559. Factor r(x).
-(x - 2)*(x + 1)**2/2
Factor -153*n**2 - 910*n**3 - 913*n**3 + 103 + 1820*n**3 + 50 + 3*n.
-3*(n - 1)*(n + 1)*(n + 51)
Let m(v) be the third derivative of v**8/2520 + 3*v**7/140 + 5*v**6/54 - 197*v**3/6 - 139*v**2. Let t(j) be the first derivative of m(j). Factor t(f).
2*f**2*(f + 2)*(f + 25)/3
Let s = 19395/2 - 9694. Determine i, given that 3/2 - 2*i**3 - s*i**2 + 3/4*i**5 + 2*i**4 + 5/4*i = 0.
-3, -1, -2/3, 1
Let -9/11*c**5 - 8594/11*c**3 + 55*c**4 - 53848/11*c**2 - 34272/11*c + 10368/11 = 0. Calculate c.
-4, -1, 2/9, 36
Suppose -18*v**3 - 23979*v**2 + 33*v**3 - 5*v**5 + 20*v**4 + 23909*v**2 + 40*v = 0. Calculate v.
-2, 0, 1, 4
Let f be ((-1)/(-2))/((-25)/(-20) + -1). Factor -f*a**3 - 2*a + 8*a - a**3 + 2*a**3 - a**2.
-a*(a - 2)*(a + 3)
Let y(x) be the third derivative of -x**2 + 36/7*x**3 + 7/60*x**6 + 3/10*x**5 - 18/7*x**4 + 0*x + 38. Suppose y(d) = 0. What is d?
-3, 6/7
Let a(k) be the second derivative of 2*k**6/75 + 187*k**5/25 + 741*k**4 + 69290*k**3/3 - 878800*k**2 - 129*k + 1. Factor a(t).
4*(t - 8)*(t + 65)**3/5
Let a(s) = s**3 - 20*s**2 + 9. Let h be a(20). Suppose 18 + 9 = h*w. Factor -3*k**2 + 3*k**w + 15*k + 2*k**3 + 28*k**2 - 5*k**4.
-5*k*(k - 3)*(k + 1)**2
Let h(q) be the first derivative of -4*q**5/5 - 7*q**4 + 4*q**3 + 46*q**2 + 56*q + 211. Find x such that h(x) = 0.
-7, -1, 2
Let b = 270 + -291. Let z be (-6)/b + (252/(-49))/(-3). Factor 1/7*a**z + 0*a + 0.
a**2/7
Let w(p) = 170*p**3 + 30*p**2 - 173*p - 432. Let g(j) = 13*j**3 + j**2 + j. Let d(k) = -52*g(k) + 4*w(k). Factor d(f).
4*(f - 9)*(f + 2)*(f + 24)
Let b be (8/(-18))/((-50)/225). Let p be 4/(-18) + 3/((-216)/(-64)). Solve -p*d**3 - 2/3*d**b + 8/3*d + 8/3 = 0.
-2, -1, 2
Let q(r) = -21*r - 21*r**2 - 41 - 50 + 83 - r**2. Let b(i) = 5*i**2 + 5*i + 2. Let n(z) = -9*b(z) - 2*q(z). Determine c, given that n(c) = 0.
-2, -1
Let b = -209 + 132. Let u be ((-140)/b)/(6/11). What is s in u*s - 4 + 2/3*s**2 = 0?
-6, 1
Factor 352108*i**5 - 4*i**2 + 22*i**3 - 30*i - 11 - 352106*i**5 + 6*i + 15*i**4.
(i - 1)*(i + 1)**3*(2*i + 11)
Let s = -4355 - -4357. Suppose -3*l = -0*l + 3*t + 3, -4*l - 2*t + 4 = 0. Factor 414/5*h**4 - 162/5*h**5 + 8/5 - 278/5*h**l + 48/5*h - 6*h**s.
-2*(h - 1)**3*(9*h + 2)**2/5
Let p(u) be the second derivative of 1/30*u**6 + 5/3*u**3 + 0*u**2 + 18*u + 1 + 1/10*u**5 - 13/12*u**4. Suppose p(s) = 0. Calculate s.
-5, 0, 1, 2
Factor 0*d**2 - 24/7*d + 2/7*d**3 - 32/7.
2*(d - 4)*(d + 2)**2/7
Let a(x) be the first derivative of -38/3*x**2 + 153 + 22/9*x**3 + 1/3*x**4 + 32/3*x. Factor a(w).
2*(w - 2)*(w + 8)*(2*w - 1)/3
Factor 5/3*f**3 + 0 + 130/3*f + 45*f**2.
5*f*(f + 1)*(f + 26)/3
Let t(y) be the second derivative of -y**5/8 + 109*y**4/8 - 75*y**3/2 + 32*y**2 - 720*y + 1. What is u in t(u) = 0?
2/5, 1, 64
Solve 43/2*y + 15 + 6*y**2 - 1/2*y**3 = 0 for y.
-2, -1, 15
Let t(x) = -x**2 + 255*x - 14992. Let r be t(92). Suppose -3*j**2 + 27/4 + 9/2*j + 1/4*j**r - 1/2*j**3 = 0. Calculate j.
-3, -1, 3
Let o(f) be the first derivative of -f**5/60 + f**4/8 + 2*f**3/3 + 61*f**2/2 - f - 39. Let n(l) be the second derivative of o(l). Factor n(w).
-(w - 4)*(w + 1)
Let t(w) = 388*w**2 + w - 8. Let n be t(4). Let i be 18 - 26 - n/(-18). Find x such that -20/3 - 695/3*x**2 - 635/3*x**4 - 140/3*x**5 - 200/3*x - i*x**3 = 0.
-2, -1, -2/7, -1/4
Let n(f) = 14*f**2 - 1579*f + 10811. Let p(g) = -3*g**2 + 313*g - 2162. Let b(k) = 2*n(k) + 11*p(k). Find t such that b(t) = 0.
9, 48
Suppose 95 = 4*r + 3*y, -3*y + 4 + 11 = 0. Let a = 981 + -979. Factor 245*g**5 + 5*g**a - 10*g**2 - 20*g**4 + r*g - 330*g**4 + 105*g**2 - 15*g**3.
5*g*(g - 1)**2*(7*g + 2)**2
Let i(j) = -29*j**2 - 1280*j - 174. Let d be i(-44). What is t in -22/3*t**d + 0 + t + 3*t**5 - 14*t**4 + 52/3*t**3 = 0?
0, 1/3, 1, 3
Let k = 35421 + -35421. Factor 9/5*z + k + 3/10*z**4 - 14/5*z**3 + 7/10*z**2.
z*(z - 9)*(z - 1)*(3*z + 2)/10
Let s(r) = r**3 - 8*r**2 - 18*r - 18. Let i be s(10). Determine n so that -n**2 + 27*n - 2454 + 2424 + 4*n**i = 0.
-10, 1
Let 660*a**2 + 4250*a + 903125 - 1312*a**2 + 657*a**2 = 0. Calculate a.
-425
Let s be (37 + -39)/(1*-1). Let -8*m**s + 6619*m**5 + 8*m**4 - 8*m - 6617*m**5 + 6*m**3 + 0*m = 0. Calculate m.
-2, -1, 0, 1
Let w = -99 - -101. Suppose 2 = w*s - 2. Determine v so that 6 - 9 + 8*v - v**s - 13 = 0.
4
Let z(h) = -3 + 4 + 0. Let j be (1 + 0)/((-1)/10)*22/(-55). Let b(o) = -4*o**3 + 6*o**2. Let r(a) = j*z(a) - 2*b(a). What is q in r(q) = 0?
-1/2, 1
Let p = -65 + 61. Let z be -2 - (-4 - p - 45). Determine u so that -18*u**3 + 15*u**5 + 10 - 45*u + z*u**3 - 50*u**4 + 5*u**3 + 40*u**2 = 0.
-1, 1/3, 1, 2
Factor 25*s**2 - 23*s**2 + 10*s**2 - 87*s**3 + 89*s**3 - 62*s - 72.
2*(s - 4)*(s + 1)*(s + 9)
Let s = -519155/11 - -47257. Let z = s + -4506/77. What is u in -18/7*u + z*u**2 + 4/7 = 0?
1/3, 2/3
Let d(z) be the second derivative of -z**5/20 - 4*z**4/3 + 451*z**3/6 - 217*z**2 - 485*z. Let d(h) = 0. What is h?
-31, 1, 14
Let 34 - 79*h**2 + 10 + 42*h**2 + 36*h**2 + 6 + 5*h = 0. Calculate h.
-5, 10
Let s(g) be the second derivative of -g**7/14 + 279*g**6/10 - 60417*g**5/20 + 93845*g**4/4 - 12950*g. Factor s(n).
-3*n**2*(n - 137)**2*(n - 5)
Let z(r) be the second derivative of 17/40*r**5 - 141*r + 1/6*r**3 + 7/20*r**6 - 19/84*r**7 + 0 - 7/8*r**4 + 0*r**2. Solve z(y) = 0.
