 a such that 2/3*a + 32*a**3 - 128/3*a**b - 8*a**2 + 0 = 0.
0, 1/4
Solve 51*f**4 - 114592*f - 49*f**4 - 4 + 4 + 846*f**3 + 89040*f**2 + 24704*f = 0 for f.
-212, 0, 1
Let u(z) be the third derivative of -z**2 - 19/30*z**6 - 93 + 11/5*z**5 + 0*z + 2/35*z**7 - 7/2*z**4 + 8/3*z**3. Suppose u(p) = 0. What is p?
1/3, 1, 4
Let i = 4386912/35 + -626701/5. Determine f so that 3/7*f**2 - i*f + 0 + 18/7*f**3 = 0.
-1/3, 0, 1/6
Suppose -75 + 393 + 46 = 13*x. Let l(y) be the first derivative of 5/3*y**3 + 15*y**2 + 25*y + x. Factor l(t).
5*(t + 1)*(t + 5)
Let m(l) = 16*l**3 + 56*l**2 - 4672*l - 8740. Let v(q) = -3*q**3 - 10*q**2 + 849*q + 1589. Let w(o) = 5*m(o) + 28*v(o). Suppose w(x) = 0. Calculate x.
-9, -2, 11
Let o(r) be the first derivative of 11/7*r**3 - 6/7*r + 27/14*r**2 - 13. Factor o(q).
3*(q + 1)*(11*q - 2)/7
Let i(m) be the second derivative of 3*m**5/20 - 28*m**4 - 2*m**3 + 672*m**2 + 6160*m + 1. Find p such that i(p) = 0.
-2, 2, 112
Solve 1773*v - 5743 - 12*v**2 - 2828*v**3 + 8*v**4 - 417 - 4*v**4 + 504 + 6719*v = 0 for v.
-2, 1, 707
Let j(q) = 2*q**5 - 80*q**4 - 90*q**3 + 162*q**2 - 2*q + 2. Let t(i) = 2*i**3 + i**2 + i - 1. Let v(c) = -j(c) - 2*t(c). Suppose v(w) = 0. Calculate w.
-2, 0, 1, 41
Determine r so that 25740*r**3 - 9441*r + 122 + 35 - 29 + 20584*r**2 + 12513*r + 8100*r**4 = 0.
-2, -1, -4/45
Let w(f) = 41*f + 88. Let v be w(-2). Let c be (-10)/(-135)*15/10*v. Factor c*u**2 - 10/3*u + 8/3.
2*(u - 4)*(u - 1)/3
Suppose -2*h + 2044 = 12*h. Suppose -4*a = -5*w + h, -4*a + 147 = 5*w - 7*a. Let -1/4 + 25*o**3 - w*o**2 + 21/4*o = 0. What is o?
1/10, 1
Factor -1/4*n**3 - 325/4 + 105/4*n - 3/4*n**2.
-(n - 5)**2*(n + 13)/4
Factor -22/3 - 14*b - 6*b**2 + 2/3*b**3.
2*(b - 11)*(b + 1)**2/3
Let m be 1/(3 - 4) - 0 - 23. Let x be (-1 - 3)*m/32. Factor 0*z + 4*z + 2*z + z**x - 4*z**2 - 3*z.
z*(z - 3)*(z - 1)
Let f(v) = -2*v**3 - v**2 + 3*v + 1. Let l(h) = -h**4 + 13*h**3 - 2*h**2 + 428*h - 741. Let z(d) = 60*f(d) + 4*l(d). Solve z(b) = 0.
-11, 2, 3
Suppose -104/9*r**2 + 2/9*r**3 - 24*r + 0 = 0. What is r?
-2, 0, 54
Let g(d) = 30*d**4 - 20*d**3 - 10*d**2 + 5. Let k(p) = p**5 + 2*p**4 - p**3 - 2*p**2 + 1. Let b(j) = g(j) - 5*k(j). Find q, given that b(q) = 0.
0, 1, 3
Factor 0*l + 1/6*l**4 + 0 - 10/3*l**2 + 1/6*l**3.
l**2*(l - 4)*(l + 5)/6
Let y(f) be the first derivative of -f**5/20 - 21*f**4/16 + 73*f**3/12 + 21*f**2/8 - 18*f + 5295. Find v such that y(v) = 0.
-24, -1, 1, 3
Let 3*o + 65/2*o**2 - 9/2*o**4 - 5/2*o**3 - 1/2*o**5 - 28 = 0. Calculate o.
-7, -4, -1, 1, 2
Let i(k) = k**3 + 6*k**2 + 14. Let x be i(-6). Suppose -8*g = -x - 2. Suppose 12*j**3 - 8 + 3*j**g - 12*j - 367*j**4 + j**2 + 371*j**4 = 0. Calculate j.
-2, -1, 1
Let l(n) be the second derivative of -n**8/2880 - 2*n**7/945 - n**6/540 - n**4/2 - 2*n**2 - 85*n. Let p(j) be the third derivative of l(j). Factor p(z).
-z*(z + 2)*(7*z + 2)/3
Suppose -90 - 115 = -130*j + 55. Find a such that -150/17 - 26/17*a**j + 2/17*a**3 + 110/17*a = 0.
3, 5
Let a(b) = -20*b - 78. Let y(q) = q**3 + 22*q**2 + 70*q - 40. Let h be y(-18). Let c be a(h). Factor -3/2*w - 1/2*w**c + 1/2*w**4 + 3/2*w**3 + 0.
w*(w - 1)*(w + 1)*(w + 3)/2
Let i(r) be the first derivative of -r**5/20 + 15*r**4/16 - 19*r**3/12 - 87*r**2/8 - 13*r + 876. Factor i(d).
-(d - 13)*(d - 4)*(d + 1)**2/4
Let -2848*z + 5348*z - 13*z**2 - 348 - 2861*z = 0. What is z?
-348/13, -1
Let m(s) be the first derivative of 8 + 9*s**2 + 1/9*s**3 + 243*s. Determine z so that m(z) = 0.
-27
Let n = 91 - 63. Suppose 4*o + 4*q = n, -3*o = -5*q + 3 - 0. Factor -200 + 3*b**4 - 6*b**o + 200 + 3*b**2.
-3*b**2*(b - 1)*(b + 1)
Let k(g) be the third derivative of g**7/24 - 11*g**6/72 + g**5/24 + 5*g**4/8 + 45*g**3/2 - 3*g**2 - 7. Let j(q) be the first derivative of k(q). Factor j(c).
5*(c - 1)**2*(7*c + 3)
Let r(b) be the third derivative of b**5/180 + 13*b**4/12 + 169*b**3/2 - 2071*b**2. Factor r(h).
(h + 39)**2/3
Let w(a) = -3*a**2 - 2*a**3 + 106*a - 5 - 109*a - 10*a**3. Let l be w(-2). Let -d + 9*d - 89*d**2 + l*d**2 - 4*d**3 = 0. What is d?
-2, 0, 1
Let g(i) be the first derivative of 7*i**6/45 - 17*i**5/30 + i**4/2 - 134*i**3/3 + 155. Let v(l) be the third derivative of g(l). Factor v(m).
4*(m - 1)*(14*m - 3)
Let u(k) = 5*k**3 + 69*k**2 - 624*k - 78. Let t be u(-20). Factor 27/11 + 144/11*b**t + 64/11*b**3 + 108/11*b.
(4*b + 3)**3/11
Suppose 19*n - 170 = -132. Let b(o) be the second derivative of 1/2*o**4 + 0*o**3 - 1/21*o**7 + 0*o**n + 1/3*o**6 + 19*o - 7/10*o**5 + 0. What is z in b(z) = 0?
0, 1, 3
Factor -85*s + 3*s**2 + s**2 + 111*s + 354*s.
4*s*(s + 95)
Let q(p) be the second derivative of 2/25*p**5 + 1 - 8*p + 0*p**3 - 1/75*p**6 + 0*p**4 + 0*p**2. Determine h so that q(h) = 0.
0, 4
Let h be 140 + -1 - (-329)/47. Let r = h + -142. What is l in -36/5*l**2 + 3/5*l**r - 3 + 6/5*l**3 + 42/5*l = 0?
-5, 1
Let w be (-5 + 95)/(-9) + 8. Let k be 3*8/24 + (-3 - w). Solve 8/7 + k*o**3 + 2/7*o**4 + 0*o - 10/7*o**2 = 0 for o.
-2, -1, 1, 2
Suppose 225 - 226 = -o. Let n be 1*(o + -1)/(18 - 20). Factor 0 - z**3 + z**2 + n*z + 1/4*z**4.
z**2*(z - 2)**2/4
Let f(o) be the second derivative of -o**4/78 + 344*o**3/39 - 29584*o**2/13 - o + 220. Factor f(j).
-2*(j - 172)**2/13
Let u(w) be the second derivative of 29*w**7/70 + w**6/15 - 87*w**5/50 - w**4/3 + 29*w**3/10 + w**2 - 2295*w. Let u(o) = 0. What is o?
-1, -10/87, 1
Let v be (-14)/(-35)*(4/8 - (-38)/(-96)). Let s(o) be the third derivative of 1/120*o**6 + 1/6*o**3 - 1/60*o**5 + 0*o + 0 + 12*o**2 - v*o**4. Factor s(i).
(i - 1)**2*(i + 1)
Let h(d) = -4*d + 3. Let a be h(-2). Suppose -5*b + a + 12 = q, 0 = -4*b + 5*q + 30. Factor 0*k**4 - 7*k**3 + 0*k**b + 40*k**2 + 5*k**5 - 10*k**4 - 13*k**3.
5*k**2*(k - 2)**2*(k + 2)
Let u be 5/(-135)*6 + (-2606)/18. Let l be u/(-58) + 2/(-4). Factor 5*v - 10*v + 0*v + 25*v**l - 10*v - 10.
5*(v - 1)*(5*v + 2)
Find w, given that -98/13*w + 2/13*w**3 + 28/13*w**2 + 68/13 = 0.
-17, 1, 2
Let l = -2/154493 + 309016/2317395. Factor 8/15 - 2/5*b**2 + 0*b - l*b**3.
-2*(b - 1)*(b + 2)**2/15
Let r(l) be the third derivative of -19/8*l**4 - 361/4*l**3 + 16*l**2 + l + 0 - 1/40*l**5. Determine d, given that r(d) = 0.
-19
Let j be ((-20)/12 + 24/9)*(-56)/(-14). Factor 0 + p**2 + 0*p + 1/6*p**3 - 1/6*p**j.
-p**2*(p - 3)*(p + 2)/6
Let y(i) = i**2 + i - 8*i + 4 + 0*i - 6*i. Let r be y(17). Factor -2*b**3 - 48 - 96*b - 10*b**3 - r*b**2 - 12*b**3 - 3*b**4.
-3*(b + 2)**4
What is d in -90/11*d**2 + 2/11*d**4 - 40/11*d + 40/11*d**3 + 8 = 0?
-22, -1, 1, 2
Let h = 227 - 215. Find i, given that -6*i**2 - 5*i**2 + 12*i + 15*i**2 + 12 - h = 0.
-3, 0
Let 50 - 212 - 49 - 24 + 5*m**2 + 230*m = 0. Calculate m.
-47, 1
Suppose -7 = -3*p - 5*a, a = p - 3 + 6. Let o be (26 - (-1 + 5))*p/(-2). Factor 16*g**2 - 21*g + 5*g**4 - 3*g**4 + o*g**2 + g**4 + 6 - 15*g**3.
3*(g - 2)*(g - 1)**3
Let c(m) = -m**2 - 12*m - 6. Suppose -2*o - 3*b = 3*o + 55, -44 = 4*o - 2*b. Let z be c(o). Factor -32*k**2 + 25 + 90*k**2 - 55*k - 23*k**2 - z*k**3.
-5*(k - 5)*(k - 1)**2
Let v = 154065 - 154063. Factor 2/3*l**v + 0 + 0*l - 4/3*l**3 + 2/3*l**4.
2*l**2*(l - 1)**2/3
Let l(q) be the second derivative of 33/140*q**5 + 12/7*q**2 + 3*q + 23/14*q**4 + 1 + 26/7*q**3. Suppose l(h) = 0. What is h?
-2, -2/11
Let m(i) be the third derivative of -i**7/1050 - i**6/90 - i**5/25 + 16*i**3 + 39*i**2 - 1. Let y(k) be the first derivative of m(k). Factor y(r).
-4*r*(r + 2)*(r + 3)/5
Let l(i) be the second derivative of i**4/24 - 319*i**3/10 - 383*i**2/20 + 168*i - 29. Let l(c) = 0. What is c?
-1/5, 383
Let t(l) = -l**3 - l**2 + 2*l + 2. Let m be t(0). Factor 3*g**m + 116*g + 30*g + 112*g + 5547.
3*(g + 43)**2
Let x(l) = -19*l + 94. Let f be x(-14). What is q in 40*q**3 + 236*q**2 + 2*q**4 + 123 - 12 + f*q + 51 = 0?
-9, -1
Let t = 97 + -100. Let z be 6/12 - t/2. Determine i so that -i**z - 16*i + 9*i + 0 + 4 + 4*i = 0.
-4, 1
Let x(d) = 3*d**3 + 11*d**2 - 205*d - 802. Let t be x(-4). Factor -48/5*g - 144/5 - 4/5*g**t.
-4*(g + 6)**2/5
Let b be (0*(-2)/6)/(-3). Suppose b = 5*v + 4*p - 2*p - 60, -3*p = -3*v + 36. Factor -v*y**5 + 28*y**5 - 8*y**4 - 10*y**5 - 10*y**5 - 4*y**3.
-4*y**3*(y + 1)**2
Suppose -4 = 107*k - 111*k. Suppose 0 = 2*c - 3*b - 21, -3*c - 13*b + 11*b = k. Find h such that -36/7*h + 36/7*h**c - 6/7*h**4 + 54/7 - 48/7*h**2 = 0.
-1, 1, 3
Let a = 1743 -