a(r) be the second derivative of 6/35*r**6 + 0 + 18/7*r**3 - 6*r - 51/140*r**5 - 1/98*r**7 + 60/7*r**2 - 17/14*r**4. Suppose a(j) = 0. Calculate j.
-1, 2, 10
Let u(s) be the third derivative of -4/27*s**3 + 0 + 22*s**2 + 1/36*s**4 + 1/270*s**5 + 0*s. Solve u(j) = 0 for j.
-4, 1
Let w(b) be the third derivative of 2*b - 11/24*b**3 + 1/8*b**4 + 0 - 1/240*b**5 + 34*b**2. Factor w(l).
-(l - 11)*(l - 1)/4
Let f be ((-4)/20 - -1) + 12/30*10. Let c(h) be the first derivative of 4/5*h**2 + 2 + 2/45*h**3 + f*h. Find i such that c(i) = 0.
-6
Let i be 20/(-18)*147/196 - 48/(-32). Let 32/3*l**2 - 8/3*l**3 + 1/6*l**5 + 0 + 0*l - i*l**4 = 0. What is l?
-4, 0, 4
Let v(z) = 7*z**5 + z**4 - z**3. Let s(y) = 126*y**5 - 585*y**4 + 312*y**3 + 252*y**2. Let q(j) = s(j) - 15*v(j). Suppose q(i) = 0. What is i?
-3/7, 0, 1, 28
Let h(l) be the third derivative of -l**8/840 + l**6/180 + 16*l**3/3 - 257*l**2. Let o(z) be the first derivative of h(z). Factor o(v).
-2*v**2*(v - 1)*(v + 1)
Let a = -104 - -106. Find t such that -5*t**5 + 97*t + 142*t**2 + 65*t**4 + 78*t - 452*t**a + 245 - 170*t**3 = 0.
-1, 1, 7
Let k(g) = -g**2 - g - 1. Let w(m) = m**2 + 9*m - 4. Suppose -5*f = -5*c + 15, 0 = f + c - 6*c + 7. Let u(r) = f*w(r) - 4*k(r). Let u(x) = 0. Calculate x.
1, 6
Let s = -9 - -5. Let d be (s/6)/((-2)/6). Let -436 + 436 - 5*m**2 + 3*m**4 + d*m**4 = 0. Calculate m.
-1, 0, 1
Let y be -2*(-2)/(-40) - 1745/50. Let u be (8/(-5))/(-4 - 77/y). Let -20/9*q**3 + u + 40/9*q**2 + 2/9*q**5 + 0*q**4 - 10/3*q = 0. What is q?
-4, 1
Let r(z) be the first derivative of -5*z**3/3 - 1005*z**2 + 4822. Let r(n) = 0. What is n?
-402, 0
Let j(i) = i**3 - 22*i**2 + 65*i - 16. Let q be j(21). Solve w**3 + 26*w**2 - 67*w + q*w + 32*w**2 = 0 for w.
-29, 0
Let v be 15/(-80) + (-2 - (-4336)/1280). Let j be 0/(4/2 + -1). Factor 0 + 2/5*i**4 + 8/5*i - v*i**3 + j*i**2.
2*i*(i - 2)**2*(i + 1)/5
Let g = -845093/7 - -120728. Factor 3 + 15/7*d**2 - g*d**3 + 39/7*d.
-3*(d - 7)*(d + 1)**2/7
Factor -1/5*j**2 + 69/5*j + 532/5.
-(j - 76)*(j + 7)/5
Let x(w) be the first derivative of 0*w + 1/18*w**3 - 104 + 0*w**2 - 1/6*w**5 - 1/6*w**4. Factor x(m).
-m**2*(m + 1)*(5*m - 1)/6
What is g in 99*g**3 - 362*g**3 + 24*g**2 - 109*g - 51*g + 267*g**3 = 0?
-10, 0, 4
Let d(l) = 12*l**4 - 79*l**3 - 42*l**2 + 173*l + 194. Let n(s) = -s**4 + 7*s**3 + s**2 + s - 2. Let w(r) = d(r) + 7*n(r). What is c in w(c) = 0?
-2, -1, 3, 6
Let i(g) = g**3 - 4*g**2 + g + 1. Let o(n) = -6*n - 20. Let h be o(-4). Let m be i(h). What is a in -50*a**3 + 9*a - 3*a + m*a**4 + 125*a**2 - 6*a = 0?
0, 5
Let q = 7995828/7 - 1142261. Suppose -5*u - 3*j + 3 = 0, -u = -0*u + 5*j + 17. Determine x so that -1/7 + 1/7*x + q*x**2 - 1/7*x**u = 0.
-1, 1
Let p(f) = -3*f**3 + 3*f + 2. Suppose 0 = o + 5 - 4. Let u be p(o). Find n such that -2*n**3 + 11*n + u*n**2 - 9*n - 2*n**2 = 0.
-1, 0, 1
Let v(n) = n**3 - 31*n**2 - 29*n - 89. Let o be v(32). Let a be 16 - (23 + 5)/o. Suppose -3/2 - a*t**2 + 6*t**5 - 9*t + 27/2*t**4 + 3*t**3 = 0. Calculate t.
-1, -1/4, 1
Let v be (-220)/(-264)*-45 - -38. Factor 16/3*b**2 - v*b**3 - 10/3*b + 0.
-b*(b - 10)*(3*b - 2)/6
Let b(s) be the second derivative of s + 3*s**2 + 7 - 11/3*s**3 + 4/3*s**4. Factor b(a).
2*(a - 1)*(8*a - 3)
Let a be 504 + -501 - (1/(5/(-353)) + (0 - -1)). Determine m so that -a + 48/5*m**3 - 312/5*m**2 + 627/5*m = 0.
1, 11/4
Let n(z) = -12*z**3 + 12*z**2 + 12*z + 4. Let d be (7/(28/72))/1. Let f = d - 2. Let a(t) = -t**3. Let c(s) = f*a(s) - n(s). Solve c(y) = 0 for y.
-1
Let x(z) = 38*z**4 + 988*z**3 - 625*z**2 - 13*z - 39. Let s(r) = -18*r**4 - 494*r**3 + 314*r**2 + 6*r + 18. Let k(q) = 13*s(q) + 6*x(q). Factor k(w).
-2*w**2*(w + 83)*(3*w - 2)
Let r = 417 + -415. Solve -298*h + 138*h**r - 433*h - 2450 - 1579*h - 2*h**3 = 0.
-1, 35
Let m(k) = -469*k**3 + 4112*k**2 - 4797*k - 429. Let i(w) = -156*w**3 + 1371*w**2 - 1599*w - 144. Let s(v) = -17*i(v) + 6*m(v). Let s(l) = 0. What is l?
-2/27, 3/2, 7
Let j(o) = 2*o**2 - 9*o - 3. Let v be j(5). Factor 183*m - 16*m**v - 69*m**2 - 2 + 23*m**2 - 40 + 5*m**2 - 12*m**3.
-3*(m - 2)*(m + 7)*(4*m - 1)
Suppose -4*q - 2*d + 534 = -7*q, 0 = q - 2*d + 174. Let b = q + 183. Determine c so that 0 + 0*c**2 - 1/6*c**b + 0*c = 0.
0
Let m(q) be the third derivative of 0*q**7 + 1/28*q**4 - 4/105*q**5 + 1/70*q**6 + 0 - 1/1176*q**8 + 280*q**2 + 0*q + 0*q**3. Factor m(k).
-2*k*(k - 1)**3*(k + 3)/7
Let d(g) = -g**3 - g**2 + g + 1. Let y(a) = 3*a**4 + 24*a**3 - 57*a**2 - 192*a + 6. Let h(r) = 6*d(r) - y(r). Factor h(w).
-3*w*(w - 3)*(w + 2)*(w + 11)
Solve -36 - 16*j**3 + 53*j**3 + 102 - 10*j**3 + j**4 - 97*j + 3*j**4 = 0 for j.
-6, -11/4, 1
Let d(m) = -2*m + 37. Let a be d(-11). Factor 45*s**2 + a + 21 + 235*s - 2 - 28.
5*(s + 5)*(9*s + 2)
Let h(w) = 2*w - 8. Let q be h(10). Suppose 4*d = -q + 52. Suppose -d*r**3 + 10*r + 2*r**2 + 5*r**4 - 6*r**4 - 11*r**4 + 10*r**2 = 0. What is r?
-1, -5/6, 0, 1
Let t(k) be the second derivative of -k**6/165 - 2*k**5/11 - 50*k**4/33 + 51*k + 32. Factor t(j).
-2*j**2*(j + 10)**2/11
Let t(s) be the third derivative of -8*s**7/525 + s**6/300 - 7*s**2 + 59*s. Suppose t(h) = 0. Calculate h.
0, 1/8
Factor 84*k**2 + 17 + 124*k + 47 - 3*k**3 - 44*k + 26 + 97*k.
-3*(k - 30)*(k + 1)**2
Let c(g) = -25*g**2 - 120*g + 40. Let k(x) be the first derivative of -x**2/2 - 2*x + 114. Let b(r) = -c(r) + 5*k(r). Solve b(t) = 0 for t.
-5, 2/5
Solve -7569 - 1/9*i**3 - 7627*i - 523/9*i**2 = 0 for i.
-261, -1
Let c be 4/(-50 + 2)*9/(-15). Let a(s) be the third derivative of c*s**5 + 0 + 0*s**3 - 11*s**2 + 0*s + 1/4*s**4. Determine i so that a(i) = 0.
-2, 0
Let x be -32*(13/540 + 506/(-6831)). Determine z so that 2/5*z**2 - x + 6/5*z = 0.
-4, 1
Let a be -36*3*(-8)/288. Let q = 48188/5 - 9560. Let 152/5*t + 16/5 + q*t**2 + 18*t**a - 162/5*t**4 = 0. Calculate t.
-1, -2/9, 2
Let d(s) = -s**3 + 7*s**2 - 4*s. Let i be d(6). Suppose -6*v + i = -0. Factor -5/3*x**v - 20/3 + 20/3*x.
-5*(x - 2)**2/3
Let h(a) be the first derivative of 4*a**3/3 + 66*a**2 - 858. Factor h(v).
4*v*(v + 33)
Let h be 24/42*-1 - 4838/(-14). Suppose 5*p - h = 665. Suppose 966*x**4 + 55*x**5 - 369*x**3 - 101 - p*x**5 - 894*x**2 + 516*x + 29 = 0. Calculate x.
-1, 2/7, 1, 6
Let g = 120568/75645 - 322/8405. Factor g*c**3 + 0 + 4*c + 130/9*c**2.
2*c*(c + 9)*(7*c + 2)/9
Let d be 16/4 - (3 + -4). Suppose v = 2*v + d*s - 12, 5*v + s - 12 = 0. Find a, given that v - 4*a**2 - 1 + 5*a - 3 - 4*a**3 + 5*a**3 = 0.
1, 2
Let n(t) be the second derivative of 3*t - 1/120*t**5 + 0 + 11/144*t**4 - 1/6*t**3 - 4*t**2. Let k(b) be the first derivative of n(b). Factor k(p).
-(p - 3)*(3*p - 2)/6
Let y(i) be the first derivative of i**4/2 + 22*i**3/3 + 39*i**2 + 90*i + 3927. Factor y(x).
2*(x + 3)**2*(x + 5)
Let r(b) = b**3 + 8*b**2 + 2*b - 23. Let k be r(-6). Factor -494*h**3 + 498*h**3 + 3*h**2 + k*h**2 + 36*h.
4*h*(h + 1)*(h + 9)
Let -14266 - 13*g**5 + g**5 - 10*g**4 - 204*g + 14346 + 0*g**5 - 34*g**2 + 252*g**3 = 0. What is g?
-5, -1, 1/2, 2/3, 4
Suppose 533*i - 5532*i = 0. Factor -2/3*r**2 - 8*r + i.
-2*r*(r + 12)/3
Let v(w) = 2*w**2 + 11*w - 13. Let u be v(6). Factor -5*r**4 - 30*r**2 + 25*r**3 + 86*r - 65*r**3 + 115*r - r - u.
-5*(r - 1)**2*(r + 5)**2
Let q(s) = s**3 - 11*s**2 + 32*s - 14. Let o be q(6). Let l be 8/116 - o/(-29). What is r in -1/3*r + l - 1/3*r**2 = 0?
-1, 0
Let v be 6613/(-389) - (236/6)/(-2). Factor v*t**5 + 0 - 2/3*t**4 + 0*t**2 + 0*t**3 + 0*t.
2*t**4*(4*t - 1)/3
Let g(b) be the second derivative of -b**5/60 + 17*b**4/36 + 10*b**3/9 - 6*b**2 + 1803*b. Factor g(r).
-(r - 18)*(r - 1)*(r + 2)/3
Suppose -3*m + w + 26 = 0, 2*w - 4 = -m - 0*w. Let g be 6/m + 35/(-70). Solve g*x**2 - 3/4*x + 0 = 0 for x.
0, 3
Let s(t) be the first derivative of 1/3*t**3 - t**2 + t - 79. Let s(o) = 0. What is o?
1
Let i(a) = -28*a**2 + 20*a - 80. Let h(t) = -28*t**2 + 19*t - 68. Let g(b) = -8*h(b) + 7*i(b). Factor g(n).
4*(n - 1)*(7*n + 4)
Let l be 11/(-23)*(-166)/913 + (-298)/(-276). Solve 5/12*x - 2/3*x**4 + 1/4*x**5 - 2/3*x**3 + l*x**2 - 1/2 = 0 for x.
-1, 2/3, 1, 3
Let t(f) be the second derivative of -f**6/255 - 9*f**5/34 - 29*f**4/34 - 43*f**3/51 - f + 247. Determine m so that t(m) = 0.
-43, -1, 0
Let z = 4 + 18. Suppose 0 = 6*f + 10 - z. Solve 24 + 3*r + r - 29 + r**f = 0 for r.
-5, 1
Let 3590/7 - 2/7*c**2 - 708/7*c = 0. Wha