at is v?
-34, 3
Let t(l) be the second derivative of l + 11/3*l**3 + 0*l**2 + 0*l**4 - 11/60*l**5 - 1/180*l**6 + 0. Let z(s) be the second derivative of t(s). Factor z(w).
-2*w*(w + 11)
Let k be -9*1 + 6 + 9 + -6. Factor 8/7*b**2 + k - 4/7*b**3 - 10/7*b**4 + 0*b - 3/7*b**5.
-b**2*(b + 2)**2*(3*b - 2)/7
Factor 25*d + d + 4*d**2 + 106*d - 4*d**4 + 952391*d**3 - 952523*d**3.
-4*d*(d - 1)*(d + 1)*(d + 33)
Let l(w) be the first derivative of -25*w**5/4 + 475*w**4/6 + 395*w**3/6 + 20*w**2 + 86*w + 66. Let c(x) be the first derivative of l(x). Factor c(d).
-5*(d - 8)*(5*d + 1)**2
Suppose 0 = -4*r + 16*r - 72. Suppose -8*o + r = -6*o. Factor -64*l**2 - 232/7*l - 14*l**o - 32/7.
-2*(l + 4)*(7*l + 2)**2/7
Let n be 1 + -7 - 1/((-32)/((-13376)/(-66))). Suppose 4*w - n*w**5 - 2/3*w**2 + 8/3 - 11/3*w**3 - 2*w**4 = 0. What is w?
-2, -1, 1
Let f(n) = -51*n**2 + 344*n + 529. Let v(u) = 10*u**2 - 68*u - 106. Let y(d) = -2*f(d) - 11*v(d). Factor y(b).
-4*(b - 9)*(2*b + 3)
Let g(f) be the second derivative of f**6/30 + 19*f**5/20 - 19*f**4/3 - 110*f**3/3 + 2882*f + 2. Determine r so that g(r) = 0.
-22, -2, 0, 5
Let g(j) = -9*j**2 - 141*j - 538. Let d be g(-9). Let w be (-1 - 4/(-3))*5. Factor 40/3 - 15*q + w*q**d.
5*(q - 8)*(q - 1)/3
Let v(d) = d**3 - 83*d**2 - 2835*d + 139. Let t be v(109). Factor -144/5*b**2 - 63*b + t - 3*b**3.
-3*(b + 5)**2*(5*b - 2)/5
Let x(b) = 27*b**2 - 13558*b + 2862941. Let l(p) = 20*p**2 - 10168*p + 2147204. Let q(a) = -11*l(a) + 8*x(a). Solve q(t) = 0.
423
Let c be ((3 + 2)/140)/(15/7340). Let j = -120/7 + c. Suppose 1/3*y - j*y**3 + y**2 - 1 = 0. What is y?
-1, 1, 3
Suppose 50*d = 34*d + 192. Let y be (21/d - 2)*60/(-5). Suppose 1/6*g**y - 11/6*g**2 - 25/6 + 35/6*g = 0. Calculate g.
1, 5
Let g = -516 + 84. Let o be (-10)/8*g/180. Factor 8/5*v + 1/5*v**4 + 0 + 12/5*v**2 + 6/5*v**o.
v*(v + 2)**3/5
Suppose 0 = -87*o + 88*o - 4. Let u(i) be the second derivative of 1/33*i**o + 0 + 4/11*i**2 + 3/11*i**3 + 6*i. Factor u(s).
2*(s + 4)*(2*s + 1)/11
Let z(d) = -d**2 + 125*d - 2344. Let m be z(102). Determine p so that 4*p**m + 7/2*p**3 + 0 + 0*p = 0.
-8/7, 0
Let v(t) be the third derivative of -48*t**2 - 3418801/6*t**3 + 43/30*t**6 - 1849/10*t**5 + 0 - 1/210*t**7 + 0*t + 79507/6*t**4. Let v(w) = 0. What is w?
43
Let c(b) be the third derivative of b**6/40 + 243*b**5/10 - 691*b**2. Find a, given that c(a) = 0.
-486, 0
Let v = -46395 + 185583/4. Factor -v*d**3 - 1/4*d**4 - 1/4*d**2 + 1/2 + 3/4*d.
-(d - 1)*(d + 1)**2*(d + 2)/4
Let s(t) be the second derivative of 0 - 13/30*t**4 - 4/5*t**2 + 3/50*t**5 - 98*t + 16/15*t**3. Factor s(i).
2*(i - 2)**2*(3*i - 1)/5
Suppose 283*y**2 + y**4 + y**4 + 128*y - 248 - 51*y**2 + 40*y**3 - 1288 = 0. Calculate y.
-8, -6, 2
Let d be (-1)/2 + (-17)/(-2). Suppose 3*n = -5*k - 7, 5*n + 3*k + 5 = -2*k. Factor 14*x - 36*x**2 - 11 + 10 - d*x**4 + n + 30*x**3.
-2*x*(x - 1)**2*(4*x - 7)
Let o(q) be the first derivative of 25/3*q**3 - 187 - 15/2*q**2 - 5/4*q**4 - 45*q. Factor o(p).
-5*(p - 3)**2*(p + 1)
Let c(l) = 1798 + 4*l - 6*l**2 - 1798. Let b(s) = -30*s**2 - 3*s**3 - s**3 + 20*s + 3*s**3. Let o(g) = -4*b(g) + 22*c(g). Factor o(m).
4*m*(m - 2)*(m - 1)
Let g = 3/19666 + 176979/98330. Determine m so that 0 + 27/5*m - 27/5*m**2 - 1/5*m**4 + g*m**3 = 0.
0, 3
Let 580*x**4 - 1/2*x**5 + 0 - 3536405000*x - 252300*x**3 + 48778000*x**2 = 0. Calculate x.
0, 290
Let s(b) be the second derivative of b**6/5 - 81*b**5/20 + 105*b**4/4 - 25*b**3/2 - 1125*b**2/2 + 4522*b. Suppose s(d) = 0. Calculate d.
-3/2, 5
Let v = -5243 - -5253. Let t(b) be the second derivative of 1/4*b**5 + 19*b + v*b**2 + 0 - 5/12*b**4 - 10/3*b**3. Find y such that t(y) = 0.
-2, 1, 2
Let b = -299 - -310. Suppose -b*k = k - 60. Factor -4/9*g**k - 28/9*g**3 + 0 - 4/3*g**2 - 20/9*g**4 + 0*g.
-4*g**2*(g + 1)**2*(g + 3)/9
Let x be (-198)/(-72) + (-946)/440. Factor -3/5*h + 3/5*h**3 - 3/5*h**2 + x.
3*(h - 1)**2*(h + 1)/5
Suppose 2280 = -164*c + 202*c. Let i be 70/c*5/35. Find x, given that 0 + 1/6*x + i*x**2 - 1/6*x**4 - 1/6*x**3 = 0.
-1, 0, 1
Let l(d) be the second derivative of -1/12*d**5 + 0*d**2 + 0*d**3 + 1/6*d**4 - 19*d - 1/90*d**6 + 0. Factor l(q).
-q**2*(q - 1)*(q + 6)/3
Determine v so that -16/7*v**3 + 4/7*v**5 - 16*v**2 + 0 + 4*v**4 + 0*v = 0.
-7, -2, 0, 2
Let g(z) be the second derivative of 0*z**3 + 1/50*z**6 + 1/20*z**5 + 22*z + 1/30*z**4 + 0*z**2 + 0. Factor g(d).
d**2*(d + 1)*(3*d + 2)/5
Suppose -694*a - 30 = -700*a. Let z be a*14*126/135. Let -1/3*y**2 + 28/3*y - z = 0. What is y?
14
Solve 2220/11*i - 616050/11 - 2/11*i**2 = 0 for i.
555
Find u, given that 2/3*u**3 - 20*u**2 + 0 - 62/3*u = 0.
-1, 0, 31
Factor -195*p**2 - 189*p**3 + 117*p**3 + 810 + 0*p**4 + 47*p**3 + 45*p + 6*p**4 - p**4.
5*(p - 9)*(p - 2)*(p + 3)**2
Let r be (2/(-2) - -2)*8. Determine k, given that 8*k**3 + 44 + 3*k**3 - 13*k**2 + 70*k - r*k**3 - k**3 + 41*k**2 = 0.
-11, -2, -1
Let m(d) be the first derivative of d**4/12 - 7*d**3/9 - 7*d**2/2 + 9*d + 599. What is b in m(b) = 0?
-3, 1, 9
Factor -93 + 6000*r**2 - 23488*r - 3*r**4 + 148 + r**4 + 6*r**4 + 30921 - 532*r**3.
4*(r - 121)*(r - 4)**3
Let x(b) be the third derivative of 9*b**5/110 + 53*b**4/66 - 8*b**3/33 + 4*b**2. Find g such that x(g) = 0.
-4, 2/27
Suppose -r + 3*l = 2*r - 2370, 4*l - 785 = -r. Let d be -10 + 1 + 3 + r/9. Let 20/3*u**2 - 42*u**3 + 0 + 8/3*u - d*u**4 + 343/3*u**5 = 0. Calculate u.
-2/7, 0, 2/7, 1
Let d(t) be the second derivative of -t**7/28 - 39*t**6/20 + 3*t**5/10 + 39*t**4/2 - 3*t + 108. Let d(v) = 0. Calculate v.
-39, -2, 0, 2
Let h = -1874 - -1877. Factor 18/7*x**2 + 3/7*x**4 + 0*x + 0 + h*x**3.
3*x**2*(x + 1)*(x + 6)/7
Suppose -43209*i + 43205*i = 0. Let f(q) be the third derivative of 0*q**4 + i*q**3 - 11*q**2 + 0 + 0*q**5 - 1/320*q**6 + 0*q. Determine k, given that f(k) = 0.
0
Factor 32*f + 112 - 13*f**2 - 1/2*f**3.
-(f - 4)*(f + 2)*(f + 28)/2
Let s(x) be the first derivative of x**5/20 - x**4/6 + 84*x - 10. Let h(r) be the first derivative of s(r). Factor h(k).
k**2*(k - 2)
Let n(o) = -o**4 + 21*o**3 + 16*o**2 - 15*o + 9. Suppose -31*w + 36*w - 10 = 0. Let z(d) = -d**4 - d**3 - d + 1. Let v(x) = w*n(x) - 18*z(x). Solve v(y) = 0.
-3, -1, 0, 1/4
Let d(c) be the second derivative of -c + 0*c**2 - 1/22*c**4 - 1/33*c**3 - 1/55*c**5 - 24. Factor d(z).
-2*z*(z + 1)*(2*z + 1)/11
Let k(t) = 15*t**3 + 8*t**2 - 83*t. Let o(f) = -10*f**3 - 5*f**2 + 55*f. Let u be -1*(1 - 2) + 4. Let r(x) = u*k(x) + 7*o(x). Factor r(w).
5*w*(w - 2)*(w + 3)
Let q(v) be the first derivative of v**3 + 23*v**2/2 + 62*v + 69. Let o(i) = 3*i**2 + 24*i + 60. Let z(a) = -7*o(a) + 6*q(a). Factor z(s).
-3*(s + 2)*(s + 8)
Suppose -m + 34 + 21 = 0. Suppose -f + 10 = 4*y, m = 4*f + y - 0*y. Factor -9 - 4*v**3 - 29*v**2 + v**3 + f*v**2 - 21*v.
-3*(v + 1)**2*(v + 3)
Let k(j) be the first derivative of 1/15*j**5 + 15/2*j**2 + 0*j - 17 + 0*j**3 + 4/3*j**4. Let i(p) be the second derivative of k(p). Let i(d) = 0. Calculate d.
-8, 0
Let x(q) = -41*q**2 + 22 + 92 - q**3 + 38 + 79*q + 11*q + 23. Let g be x(-43). Factor -g - 6*f - 3/4*f**3 - 15/4*f**2.
-3*(f + 1)*(f + 2)**2/4
Determine p, given that -1432/11*p - 42/11*p**2 - 136/11 = 0.
-34, -2/21
Let d = 127 + -43. Let -8 - 11*i**3 - 2 + 36*i**3 - 80*i**2 + d*i - 19*i = 0. Calculate i.
1/5, 1, 2
Let i(m) be the first derivative of 23*m**3/3 + 55*m**2/2 - 69*m + 5. Let w(j) = -208*j**2 - 496*j + 620. Let h(u) = -28*i(u) - 3*w(u). Factor h(a).
-4*(a - 1)*(5*a + 18)
Let a(k) be the third derivative of -1193859*k**7/28 + 23409*k**6/16 - 153*k**5/8 + 5*k**4/48 - 532*k**2. Let a(m) = 0. What is m?
0, 1/153
Factor 0*x - 1/3*x**4 + 10/3*x**3 - 3*x**2 + 0.
-x**2*(x - 9)*(x - 1)/3
Suppose o = 4*z - 3693 + 1428, 567 = z - o. Factor -z*l - 3*l**2 + 242*l + 279*l.
-3*l*(l + 15)
Factor 0*r + 1/5*r**5 + 12/5*r**3 + 0 + 6/5*r**4 + 8/5*r**2.
r**2*(r + 2)**3/5
Factor 4/3*y**2 + 5848/3*y + 1948.
4*(y + 1)*(y + 1461)/3
Let n(m) be the first derivative of m**6/24 + 5*m**5/6 + 15*m**4/8 - 18*m**2 + 121. Let p(y) be the second derivative of n(y). Factor p(j).
5*j*(j + 1)*(j + 9)
Factor -76/9 - 2/9*r**4 + 82/9*r**3 - 26*r**2 + 230/9*r.
-2*(r - 38)*(r - 1)**3/9
Suppose 0 = -88*d + 91*d + 5*i - 54, 4*d - 5*i + 33 = 0. Suppose 0 + 15/4*t + 3/4*t**d - 9/2*t**2 = 0. Calculate t.
0, 1, 5
Let r be ((-42)/8)/(6/(-39840)*5). Fact