1 - 2180*x**2 - 8660*x - 6810.
-5*(x + 2)**2*(x + 432)
Let b(s) be the first derivative of -s**3/33 - 134*s**2/11 - 17956*s/11 + 442. Solve b(w) = 0.
-134
Let z(h) = h**2. Let w(l) = 2*l**4 - 8*l**3 - 58*l**2. Let j(c) = -w(c) + 6*z(c). Find u such that j(u) = 0.
-4, 0, 8
Let i(m) = -13*m**2 - 25*m - 40. Let x(o) = 87*o**2 + 177*o + 279. Suppose 4*a = 4*l - 0*a - 28, 4*l - 3*a - 25 = 0. Let j(q) = l*x(q) + 27*i(q). Factor j(d).
-3*(d - 12)*(d + 1)
Let d(k) be the second derivative of -k**6/6 - 349*k**5/4 + 1755*k**4/4 - 5275*k**3/6 + 880*k**2 - k - 493. Solve d(m) = 0 for m.
-352, 1
Determine k, given that 744/11 + 2/11*k**4 + 534/11*k**2 + 78/11*k**3 + 1202/11*k = 0.
-31, -4, -3, -1
Suppose 2*h = 41 - 25. Find n, given that 2*n**2 + 87*n - 75*n - h - 3*n**5 + 6*n**4 - 11*n**3 + 2*n**5 = 0.
-1, 1, 2
Suppose -92 = -4*g - s, 10 = g - 4*s + 4. Suppose g*z = 12*z + 20. What is m in -15*m**3 + z*m + m - 24*m**2 - 5*m**3 + 32 - 4*m**4 + 13*m = 0?
-2, 1
Suppose 61*p + 468 = 48*p. Let n(i) = i**2 + i. Let g(j) = 8*j**2 + 8*j. Let c(u) = p*n(u) + 4*g(u). Factor c(y).
-4*y*(y + 1)
Let b = 68065/4 - 17014. Let g(h) be the first derivative of -3*h - 15 - b*h**3 + 9/2*h**2. Factor g(s).
-3*(3*s - 2)**2/4
Let i(s) = -s - 3. Let c(b) = -b**3 - 2*b - 2. Let x(m) = c(m) - i(m). Let r(u) = -5*u**2 + 5*u + 1. Let k(d) = -r(d) + x(d). Factor k(a).
-a*(a - 3)*(a - 2)
Let p(b) be the first derivative of -b**4/10 + 226*b**3/15 + 93*b**2 + 702*b/5 - 1394. Factor p(r).
-2*(r - 117)*(r + 1)*(r + 3)/5
Let z(f) be the third derivative of 124/27*f**4 + 59*f**2 + 2/945*f**7 + 44/45*f**5 + 0 + 13/135*f**6 + 320/27*f**3 + 0*f. Factor z(a).
4*(a + 2)**3*(a + 20)/9
Suppose -12*q = -28*j + 24*j, -3*q - j = -12. Find o such that 4/7*o**q + 32/7*o - 4/7*o**4 - 20/7*o**3 + 4/7*o**5 + 16/7 = 0.
-1, 2
Let t(y) be the first derivative of y**4/36 - 4*y**3/27 - 37*y**2/18 + 40*y/9 - 553. Suppose t(g) = 0. What is g?
-5, 1, 8
Factor 1/5*o**3 + 18*o + 33/5*o**2 + 0.
o*(o + 3)*(o + 30)/5
Let r(s) be the third derivative of s**7/1400 - s**6/600 - s**5/200 + s**4/40 - 61*s**3/6 + 37*s**2 - 2. Let d(g) be the first derivative of r(g). Factor d(m).
3*(m - 1)**2*(m + 1)/5
Suppose -13*n**3 + 24 - 2*n**3 + n - 19*n**3 + 2*n**5 + 31*n - 19*n**2 - 6*n**4 + n**2 = 0. Calculate n.
-2, -1, 1, 6
Factor -187 + 2*w**4 - 172*w**3 - 3*w**4 - 141 - w**4 - 1019*w**2 + 353*w**2 - 824*w.
-2*(w + 1)**2*(w + 2)*(w + 82)
Let x(k) be the second derivative of -k**5/4 + 805*k**4/3 - 6425*k**3/6 + 1605*k**2 + 203*k. Solve x(n) = 0.
1, 642
Let z(w) be the second derivative of -w**6/320 - w**5/40 - 3*w**4/64 + 59*w**2 - 15*w - 4. Let c(u) be the first derivative of z(u). Let c(y) = 0. Calculate y.
-3, -1, 0
Let m(r) = 2183*r - 550. Let k(v) = 3*v**2 - 4367*v + 1099. Let s(o) = -4*k(o) - 7*m(o). Determine a, given that s(a) = 0.
1/4, 182
Find r such that -54/13*r**3 + 160/13*r + 0 + 84/13*r**2 = 0.
-10/9, 0, 8/3
Let l(i) be the first derivative of i**4/2 + 368*i**3/39 + 665*i**2/13 + 196*i/13 + 3619. Factor l(k).
2*(k + 7)**2*(13*k + 2)/13
Let a(w) be the second derivative of 2*w**5/15 + 7*w**4/2 + 80*w**3/3 - 64*w**2/3 - 4*w + 86. Factor a(d).
2*(d + 8)**2*(4*d - 1)/3
Let j(o) be the third derivative of -o**8/2016 - o**7/420 + 4*o**6/45 - 29*o**5/45 + 7*o**4/3 - 44*o**3/9 + 4594*o**2. Factor j(s).
-(s - 2)**4*(s + 11)/6
Let y(o) = -7*o - 40. Let s be y(-6). Factor -123 - 6*k**4 - 72*k**s + 4*k**4 + 59 - 112*k - 20*k**3.
-2*(k + 2)**3*(k + 4)
Factor -256/3*o - 256 - 1/3*o**3 - 28/3*o**2.
-(o + 8)**2*(o + 12)/3
Let k = 4/611223 + 814952/1833669. What is t in -k*t**2 - 32/9*t + 44/3 = 0?
-11, 3
Let c(z) be the first derivative of -z**4/2 - 70*z**3/3 - 34*z**2 + 1159. Factor c(d).
-2*d*(d + 1)*(d + 34)
Let x = 113288 - 113284. Suppose 0*b + 2/21*b**3 + 8/21*b**2 + 0 - 8/21*b**x - 2/21*b**5 = 0. Calculate b.
-4, -1, 0, 1
Suppose 59 - 91 = -8*p. Let l(j) = j**3 - 5*j**2 + 11*j - 23. Let y be l(p). Factor -9/5*n**y - 2/5*n**2 + 16/5*n**4 + 0 + 0*n - n**3.
-n**2*(n - 1)**2*(9*n + 2)/5
Let l(b) be the first derivative of -5*b**4/8 - 725*b**3/6 + 735*b**2/2 + 1188. Factor l(f).
-5*f*(f - 2)*(f + 147)/2
Let r(y) be the third derivative of -7*y**7/20 - 13447*y**6/80 + 1061*y**5/2 - 2207*y**4/4 + 276*y**3 + 1997*y**2. Let r(i) = 0. Calculate i.
-276, 2/7, 1
Let w(z) be the second derivative of z**5/270 + z**4/27 - 7*z**3/9 - 57*z**2 + 120*z. Let b(k) be the first derivative of w(k). Let b(v) = 0. Calculate v.
-7, 3
Let p = 76869 - 76865. Let 2*b - 17/3*b**2 + 51*b**p + 0 - 49/3*b**3 - 15*b**5 = 0. Calculate b.
-1/3, 0, 1/3, 2/5, 3
Let z = 3170681/3 - 1056889. Factor 1/3*a**3 + z*a**2 + 49/3*a + 0.
a*(a + 7)**2/3
Suppose 33 = l + 5*h, -2*h = 4*l - 0*h - 24. Let c(i) be the third derivative of 1/12*i**4 + 0 + 1/6*i**l + 0*i + 1/60*i**5 - 22*i**2. Factor c(r).
(r + 1)**2
Let n be 16/(-6)*(-147)/196. Let y be 44/22 - (-17)/(-10). Factor 1/5 + y*u + 1/10*u**n.
(u + 1)*(u + 2)/10
Let f(a) be the second derivative of a**5/4 - 75*a**4/4 - 115*a**3/3 + 2*a - 2764. Solve f(w) = 0 for w.
-1, 0, 46
Let n(h) = -4*h**2 - 80*h + 240. Let i(u) = 3*u**2 - u - 6. Let t(y) = -2*i(y) - n(y). Suppose t(s) = 0. Calculate s.
3, 38
Let u be 1/14*(-128408)/(-16). Let n = 1163/2 - u. Factor 5/2*d + 0 + n*d**2 - 7/4*d**3.
-d*(d - 5)*(7*d + 2)/4
Suppose 75776 + 777*o + 2*o**2 + 1911*o - 38*o**3 - 56*o**2 + 36*o**3 = 0. Calculate o.
-32, 37
Let i(t) = t**2 - 215*t + 5238. Let u be i(187). Solve 0 - 2/3*x + 2/3*x**u + 1/2*x**3 + 1/6*x**5 - 2/3*x**4 = 0 for x.
-1, 0, 1, 2
Let z(x) be the first derivative of 136 + 22*x - 2/3*x**3 + 10*x**2. Factor z(u).
-2*(u - 11)*(u + 1)
Let b(l) be the third derivative of l**8/6720 - 13*l**7/280 + 507*l**6/80 - 13*l**5/15 + 127*l**2. Let c(o) be the third derivative of b(o). Factor c(t).
3*(t - 39)**2
Suppose -48/5*s**3 + 321/5 + 513*s + 5112/5*s**2 = 0. What is s?
-1/4, 107
Let y(x) = -x**3 + 7*x**2 + 8*x - 2. Let h be y(-4). Let j = h + -990/7. Find b, given that -j*b**2 + 2/7*b + 2/7*b**3 + 0 = 0.
0, 1
Let i(x) be the first derivative of 16*x**5/5 + 132*x**4 + 1100*x**3 - 1852*x**2 + 960*x + 5689. Determine q, given that i(q) = 0.
-24, -10, 1/2
Let t be 2*(-11)/(11/(-2)). Solve 3*l**t - 21*l**2 + 18*l**3 - 148 + 300 - 152 = 0.
-7, 0, 1
Let c(m) = 40*m. Let q(f) = -f**2 - 6*f - 4. Let r be q(-5). Let j be c(r). Factor -10*i + 7 + 11 - i - j*i + 15*i**2.
3*(i - 3)*(5*i - 2)
Let s = 117 - 95. Solve 12*x - s - 10 + 32 + 4*x**2 = 0.
-3, 0
Let w(u) be the second derivative of 5*u**7/14 + 11*u**6/5 + 39*u**5/20 - 7*u**4 - 6*u**3 - 2605*u. Solve w(l) = 0 for l.
-3, -2, -2/5, 0, 1
Let r be (-322)/7*2/((-8)/62). Let m = r + -713. What is g in 2/11*g**5 + m + 0*g - 4/11*g**2 - 2/11*g**3 + 4/11*g**4 = 0?
-2, -1, 0, 1
Let c = 177586 - 177584. Suppose -2/23*i**4 + 22/23*i**3 + 50/23*i - 16/23 - 54/23*i**c = 0. Calculate i.
1, 8
Let g(b) = -b**3 - b**2 + b. Let x be (-5)/2 - 5*4/(-40). Let m(a) = -2*a**5 + 6*a**4 + 31*a**3 - 21*a**2 - 83*a. Let o(l) = x*m(l) - 6*g(l). Factor o(r).
4*r*(r - 5)*(r - 2)*(r + 2)**2
Let v(u) = u**3 - 7*u**2 - 9*u + 7. Let t be v(8). Let n be (3/8*2)/(t/(-84)). Factor 7*g**4 + 3*g**4 + 10*g - n*g**2 + 41*g + 9*g**3 - 9 + 2*g**4.
3*(g - 1)**2*(g + 3)*(4*g - 1)
Let o(t) be the second derivative of -131*t + 54*t**2 + 0 - 57/2*t**4 - 7/15*t**6 - 61/10*t**5 - 45*t**3. Factor o(c).
-2*(c + 3)**3*(7*c - 2)
Factor -606 + 54*z + 61*z + 135*z - 54*z + 2*z**2.
2*(z - 3)*(z + 101)
Let g(r) be the third derivative of -r**7/840 - 301*r**6/240 - 92389*r**5/240 - 44849*r**4/8 - 66603*r**3/2 + 3*r**2 - 457. Factor g(a).
-(a + 3)**2*(a + 298)**2/4
Let f be (52/(-104))/(1/(-37732)). Let 5*q**2 + 268*q + 18866 - f - 103*q = 0. What is q?
-33, 0
Let p(l) be the third derivative of -l**7/315 - l**6/15 - 5*l**5/18 + 11*l**4/6 + 80*l**3/9 - 56*l**2. Find c, given that p(c) = 0.
-8, -5, -1, 2
Let u = -2276 + 3392. Let f = -10030/9 + u. Solve -2/9*p**3 - 38/9*p**4 - f*p**5 + 16/9*p - 8/9 + 46/9*p**2 = 0 for p.
-2, -1, 2/7, 1
Determine a so that 93/4*a**4 + 0 - 93/4*a**2 - 27/2*a + 15/4*a**3 + 39/4*a**5 = 0.
-18/13, -1, 0, 1
Factor -77975 - 2*m**2 + 2471647 - m**2 - 1754*m - 2622*m + 5*m**2.
2*(m - 1094)**2
Let a be (11 + (-4448)/400)/(32/(-80)*(-2)/(-16)). Suppose -a*s**4 + 12/5*s**2 - 4/5*s**5 - 16/5*s + 4*s**3 + 0 = 0. Calculate