2*(d - 3)**2/3
Let s = 57454/43095 - -2/14365. Let u(x) be the first derivative of -7 - s*x + 4/9*x**3 + 1/6*x**4 - 1/3*x**2. Factor u(m).
2*(m - 1)*(m + 1)*(m + 2)/3
Let n(a) be the second derivative of 1/16*a**4 - 58*a + 3/8*a**3 + 0 - 15/4*a**2. Find v, given that n(v) = 0.
-5, 2
Let b(k) = -5*k**2 + 5806*k - 1705278. Let t(g) = 85*g**2 - 98685*g + 28989725. Let y(n) = 35*b(n) + 2*t(n). Factor y(h).
-5*(h - 584)**2
Let c(y) = -452*y**2 - 946*y - 926. Let h(f) = 25*f**2 + f. Let m(p) = -2*c(p) - 36*h(p). Find l such that m(l) = 0.
-463, -1
Let v(d) = 4*d**2 - 22*d - 26. Let n(y) = 13*y**2 - 66*y - 79. Let p = -137 - -139. Let t(r) = p*n(r) - 7*v(r). Factor t(m).
-2*(m - 12)*(m + 1)
Suppose 0 = -4*y - 4*f + 1192, 2*f = 5*y - 2171 + 681. Let x = y + -298. Find r, given that 0*r**2 + x - 4/7*r**3 + 2/7*r**4 + 0*r = 0.
0, 2
Let g(k) be the third derivative of k**6/12 + 1909*k**5/15 + 182023*k**4/3 - 291848*k**3/3 - k**2 - 1874. Determine t so that g(t) = 0.
-382, 2/5
Let m = 97573/3 - 32206. Let h = -4766/15 + m. Determine p so that 0 + h*p**2 - 1/5*p**4 + 0*p**3 - 2/5*p = 0.
-2, 0, 1
Let 99*s**2 - 189 + 51*s**4 - 84*s**4 + 90*s**3 - 204*s + 9 = 0. What is s?
-1, 2, 30/11
Suppose -1649*i - 3002 - 21*i**4 + 22*i**4 - 927*i**2 - 67*i**3 + 2212 = 0. Calculate i.
-10, -1, 79
Factor 2/5*r**2 + 2024*r + 2560360.
2*(r + 2530)**2/5
Suppose k + 12*j - 191 = -67, 2*j - 40 = -5*k. Let o = -3108 - -28004/9. Solve -8/3*p**3 + 0 - 4/9*p**k - o*p - 16/3*p**2 = 0 for p.
-2, 0
Let h(p) = -12*p**2 + 859*p + 564. Let m(w) = 5*w**2 - 429*w - 282. Let i(u) = 4*h(u) + 9*m(u). Factor i(l).
-(l + 141)*(3*l + 2)
Determine u so that -2450/11 - 2/11*u**4 - 2732/11*u**2 - 5040/11*u - 144/11*u**3 = 0.
-35, -1
Let g = -1629574 - -1629576. Let i**g - 2/3*i**3 - 1/6*i**5 + 5/6*i + 0 - i**4 = 0. What is i?
-5, -1, 0, 1
Solve 166*x + 108*x**3 - 181 + 130*x**2 + 144*x**2 - 10*x**4 + 181 - 10*x = 0.
-6/5, -1, 0, 13
Determine v, given that 4*v**4 - 3559 - 236*v**2 + 420*v + 1688 + 12*v**3 + 1671 = 0.
-10, 1, 5
Let s(j) be the first derivative of -j**5/60 + j**4/4 - 4*j**3/9 - 55*j - 107. Let w(p) be the first derivative of s(p). Determine l so that w(l) = 0.
0, 1, 8
Let o(w) = -w**2 - 32*w + 1123. Let h(i) = -2*i**2 - 97*i + 3368. Let n(p) = 2*h(p) - 7*o(p). What is u in n(u) = 0?
-25, 15
Suppose 5*n = -1498 + 6698. Let a be (n/6552)/(2/14). Factor 16/9*g**2 + a*g - 2/3.
2*(g + 1)*(8*g - 3)/9
Suppose n - 36 = -3*w, -14*n + 17*n - 3*w = 48. Let t(b) be the first derivative of 18*b**4 + n + 9*b**6 + 20/3*b**3 + b**2 + 108/5*b**5 + 0*b. Factor t(z).
2*z*(z + 1)*(3*z + 1)**3
Let m(j) be the second derivative of j**7/14 + 11*j**6/10 + 63*j**5/10 + 27*j**4/2 - 27*j**3/2 - 243*j**2/2 - 55*j - 1. Suppose m(u) = 0. Calculate u.
-3, 1
What is p in 9/5*p**3 + 0 - 24*p - 3/5*p**4 + 54/5*p**2 = 0?
-4, 0, 2, 5
Factor -567*q + 16428*q**2 - 85998*q**3 - 321*q + 16 - 15308*q**3.
-2*(37*q - 2)**3
Let j be (-1716)/(-440) - 0 - (-20)/(-8). Factor -16/5*n**4 + 4/5*n**3 + j*n**5 + 2/5 + 14/5*n**2 - 11/5*n.
(n - 1)**3*(n + 1)*(7*n - 2)/5
What is f in 5*f**3 + 5*f**3 - 30*f - 6*f**3 - 101 - 16*f**2 - 38*f + 341 = 0?
-4, 3, 5
Let r(g) be the second derivative of 13*g - 1/10*g**5 - 1 + 0*g**2 - 4*g**3 + 7/6*g**4. Let r(n) = 0. What is n?
0, 3, 4
Suppose 1530*v - 465*v**2 + 46*v**3 - 400 + 21*v**3 - 32*v**3 = 0. Calculate v.
2/7, 5, 8
Suppose -l - 2*m + 4 = 0, 0*m - m = 3*l - 12. Suppose 0 = 2*o + o - l*v - 79, 5*o = -v + 147. What is p in o*p**2 - 16*p**2 + 2*p**3 - 17*p**2 = 0?
0, 2
Factor -78 + 17/2*f**2 - 1/2*f**3 - 20*f.
-(f - 13)*(f - 6)*(f + 2)/2
Suppose 0 = -19*c + 50681 + 14432. Solve -1975 + c - 1584*p - 2*p**3 - p**3 + 135*p**2 = 0.
1, 22
Let 144/7 - 156/7*p - 24/7*p**2 - 3/7*p**4 + 39/7*p**3 = 0. Calculate p.
-2, 1, 2, 12
Let u(w) be the first derivative of -w**5/330 + w**4/33 + 5*w**3/33 - 5*w**2 + w - 223. Let c(f) be the second derivative of u(f). Factor c(t).
-2*(t - 5)*(t + 1)/11
Let q(j) be the first derivative of -j**6/420 - 13*j**5/210 + 3*j**4/28 - 223*j**3/3 + 92. Let p(r) be the third derivative of q(r). Let p(u) = 0. Calculate u.
-9, 1/3
Let k = -157 - -31. Let x = 128 + k. Determine f, given that 2 + 18*f**2 - 42*f**3 + 5*f**3 - 11*f**3 + 18*f**4 + 26*f**x - 16*f = 0.
1/3, 1
Let g(r) be the first derivative of -r**6/45 + r**5/6 - 63*r - 2. Let p(d) be the first derivative of g(d). Factor p(v).
-2*v**3*(v - 5)/3
Let d = -262 + 101. Let j = -941/6 - d. Determine l so that -j*l**3 - 20/3*l**2 + 5/3 - 5/6*l = 0.
-1, 2/5
Let g(h) be the third derivative of -h**5/40 + 7*h**4/4 - 13*h**3 - 2024*h**2. Find a such that g(a) = 0.
2, 26
Let n(x) be the second derivative of 7*x**4/15 - 116*x**3/15 + 32*x**2/5 + 3297*x. Factor n(q).
4*(q - 8)*(7*q - 2)/5
Let n(w) = 29 - 3*w**3 + 5*w**2 + 15*w + 13*w + w. Let a(u) = -2*u**3 - 2*u**2 + u + 1. Let v(d) = -4*a(d) + 2*n(d). Factor v(h).
2*(h + 3)**3
Find j, given that j**4 + 164*j**3 - j**4 + 90 - 136*j**3 + 40*j**2 - 156*j - 2*j**4 = 0.
-3, 1, 15
Let i be (100/35 + 0 - 5)/((-20)/210). Factor 5*b + 0 - i*b**4 - 25/2*b**2 - 40*b**3.
-5*b*(b + 1)**2*(9*b - 2)/2
Let p = 43735 + -218669/5. Find c such that 6/5*c**5 - 12/5*c - 18/5*c**2 + 0 + 18/5*c**4 + p*c**3 = 0.
-2, -1, 0, 1
Suppose -2*c + 1 + 7 = 0. Suppose -c*i = -18 + 6. Factor 7*p - 19*p + i*p**3 + 13*p**2 - 4*p**4 - p**2 + p**4.
-3*p*(p - 2)*(p - 1)*(p + 2)
Let u(r) = 4*r**2 + 248*r + 2856. Let m(h) = -6*h - 1. Let q(c) = -24*m(c) + u(c). Factor q(n).
4*(n + 8)*(n + 90)
Let r(v) be the second derivative of v**9/4200 - v**8/800 + v**7/630 + 173*v**4/12 - v + 66. Let p(n) be the third derivative of r(n). Factor p(f).
2*f**2*(3*f - 5)*(3*f - 2)/5
Suppose 387 = 39*z - 744. Let n(a) be the third derivative of 0*a**7 + 0*a**5 + 0*a + 0*a**3 - 1/84*a**4 - z*a**2 + 1/210*a**6 + 0 - 1/1176*a**8. Factor n(k).
-2*k*(k - 1)**2*(k + 1)**2/7
Let y(n) be the second derivative of n**4/15 + 362*n**3/15 - 732*n**2/5 - 1978*n. Factor y(s).
4*(s - 2)*(s + 183)/5
Let s(b) = b**3 + 4*b**2 - 5. Let x be s(-3). Determine y, given that -28*y**2 + 8*y - 20*y**5 + 12*y**3 + 9*y**4 - 3*y**4 + 22*y**x = 0.
-1, 0, 2/5, 1
Let j = -3/1127 + 1559/162288. Let n(k) be the third derivative of 1/360*k**5 + 0*k**3 + 0*k - j*k**4 + 26*k**2 + 0. Solve n(m) = 0 for m.
0, 1
Let v(d) be the third derivative of d**5/30 + 125*d**4/12 + 348*d**3 + 6*d**2 + 78*d + 2. Solve v(s) = 0 for s.
-116, -9
Factor -52*c**4 - 42*c**4 - 88*c + 148*c**2 - 24*c - 41*c**4 + 137*c**4 - 38*c**3.
2*c*(c - 14)*(c - 4)*(c - 1)
Determine u so that 1045934*u - 3187*u**5 + 1476*u**3 + 7090*u**2 + 5 + 43364*u**3 - 1046418*u - 2289*u**5 + 2 + 31783*u**4 = 0.
-1, -1/4, 1/37, 7
Let d(f) = 2*f**2 + 3*f - 187. Let v be d(9). Factor 0 + 1/7*y**v - 5/7*y.
y*(y - 5)/7
Let f(w) be the first derivative of -w**8/420 - 2*w**7/105 - w**6/30 + 4*w**3/3 - 7*w**2 - 185. Let a(y) be the third derivative of f(y). Factor a(v).
-4*v**2*(v + 1)*(v + 3)
Factor -46*y - 260*y + 13*y**2 + 256 + 12*y**2 + 2*y + 4*y**3 + 19*y**2.
4*(y - 4)*(y - 1)*(y + 16)
Let h(z) be the first derivative of z**5/540 - 11*z**4/216 + z**3/3 - 4*z**2 + z - 7. Let p(c) be the second derivative of h(c). Suppose p(x) = 0. What is x?
2, 9
Let g = 1153 - 589. Let c = g + -2255/4. Let c*z**2 + 1 + 5/4*z = 0. Calculate z.
-4, -1
Determine d so that -2/13*d**3 - 4232/13*d + 0 + 184/13*d**2 = 0.
0, 46
Suppose -n = 4*a - 18, 28*a - 2*n + 1 = 29*a. Suppose 0 = -c - 1, -2*r + c = -24 - 7. Factor -r*y + 86*y**2 - 71*y**2 - 5*y + a*y**3.
5*y*(y - 1)*(y + 4)
Let q be (7/(-1) + 3)*(-30)/(-2). Let r = q + 80. Determine g, given that 4*g - r*g**2 - 11*g + 2*g + 0*g = 0.
-1/4, 0
Suppose -16/5 - 1/5*w**2 - 17/5*w = 0. Calculate w.
-16, -1
Let q = 740 - 1307. Let n be (-2)/4 - q/918. Factor 0 + 0*t + 4/17*t**2 + n*t**3.
2*t**2*(t + 2)/17
Let h(q) = q - 3. Let s be h(5). Suppose -100 - 58 = -79*r. Find w such that w**s - 49*w - 4*w**r - 7*w**2 + 54*w + 5*w**3 = 0.
0, 1
Let j be 20*(-12)/210*-49. Let f be 336/294 - (-692)/j. Factor f - 9/2*h - 3/2*h**3 - 15/2*h**2.
-3*(h - 1)*(h + 3)**2/2
Factor -2442*z**2 + 28 - z + 2441*z**2 - 5*z - 6*z.
-(z - 2)*(z + 14)
Factor 12596*l + 2663432*l**2 + 6006*l - 1577*l - 3177*l + 18.
2*(1154*l + 3)**2
Let m(g) be the second derivative of g**6/15 + 38*g**5/15 - 139*g**4/18 - 104*g**3/9 + 36*g**2