y + 1983)**2
Let b be (-10)/(350/(-15))*56/8. Let f(n) be the second derivative of -1/90*n**5 + 0*n**2 + 0 - 1/54*n**4 + 2/27*n**b - 21*n. Solve f(h) = 0.
-2, 0, 1
Let u = 4534 + -108781/24. Let m(v) be the first derivative of -199/20*v**5 - u*v**6 + 0*v**2 + 0*v - 43 - 5/3*v**3 - 31/4*v**4. Find d such that m(d) = 0.
-5, -2/5, -2/7, 0
Let y(n) = -6*n**3 + 1476*n**2 + 1479*n. Let r(w) = -5*w**3 + 1477*w**2 + 1480*w. Let p(c) = -3*r(c) + 2*y(c). Factor p(l).
3*l*(l - 494)*(l + 1)
Let m(y) be the first derivative of 133/6*y**4 - 277/9*y**3 - 12*y - 49/15*y**5 - 249 - 38*y**2. Let m(j) = 0. Calculate j.
-2/7, 3
Let b(p) = -p - 7. Let c be b(-10). Factor 9*g - c*g + 0*g + 18*g + 4*g**2 - 28.
4*(g - 1)*(g + 7)
Let r(b) be the third derivative of -b**5/45 + 137*b**4/3 + 1646*b**3/9 - 73*b**2 - 29*b - 1. Factor r(y).
-4*(y - 823)*(y + 1)/3
Let c be -3 + (6 - (-8 + 3)). Suppose -c = -8*b + 7*b - y, 0 = -5*b + 2*y + 5. Factor 1/4*x - 1/8*x**2 - 1/4*x**b + 0 + 1/8*x**4.
x*(x - 2)*(x - 1)*(x + 1)/8
Let x(z) be the first derivative of -6/11*z - 16/11*z**3 - 97 - 9/11*z**4 - 14/11*z**2 - 2/11*z**5. Determine c, given that x(c) = 0.
-1, -3/5
Let c(n) be the second derivative of 3*n**6/8 - 4001*n**5/40 + 2179*n**4/16 + 266*n**3/3 - 177*n**2/2 - 1663*n. Let c(v) = 0. What is v?
-2/5, 2/9, 1, 177
Suppose -5*k + 55 = -60. Suppose 4*j - m = k, 5 = 3*j - 4*m + 4. Solve j*w**2 - 3*w**3 + 8*w + 4*w**2 - 20*w + 6*w = 0 for w.
0, 2/3, 3
Let m(u) be the second derivative of -1/6*u**4 + 8/11*u**3 + 36/11*u**2 + 1/110*u**5 + 0 - 56*u. Solve m(w) = 0 for w.
-1, 6
Suppose 5*m + 12 = 8*t - 6*t, -3*m + 12 = 2*t. Let g(i) be the third derivative of 0 - 14*i**2 + m*i + 1/40*i**6 + 0*i**3 + 1/20*i**5 + 0*i**4. Factor g(n).
3*n**2*(n + 1)
Let h(g) = -25931*g + 181520. Let l be h(7). Factor -8/5*q + 1/10*q**l + 0 + 3/2*q**2.
q*(q - 1)*(q + 16)/10
Let f(d) = 10*d**4 + 6*d**3 - 2*d**2. Let n(i) = i**4. Let c = -99 - -97. Let x(t) = c*n(t) + f(t). Suppose x(o) = 0. Calculate o.
-1, 0, 1/4
Suppose 10*o = -21*o + 19*o. Let y(c) be the third derivative of o - 1/30*c**5 - 7/300*c**6 + 20*c**2 + 1/30*c**4 + 0*c**3 + 0*c. Factor y(g).
-2*g*(g + 1)*(7*g - 2)/5
Find j, given that 147 + 3724*j**4 + 139 - 19976*j**3 - 1416*j**3 + 2112*j + 306 - 16 - 6080*j**2 = 0.
-2/7, 6/19, 6
Suppose -5*d - 9*b - 28 = -3, -b = -4*d + 21. Factor 9/10*i**2 + 3/10*i**d + i**3 + 1/5*i + 0.
i*(i + 1)*(i + 2)*(3*i + 1)/10
Let q(j) be the third derivative of -9*j**6/40 + 53*j**5/10 - 291*j**4/8 - 35*j**3 + 47*j**2 + 13*j - 4. Factor q(h).
-3*(h - 7)*(h - 5)*(9*h + 2)
Determine w so that -811*w - w**2 - 62506 - 6127 + 8117 + 319*w = 0.
-246
Factor 23*s - 25757*s**2 - 7*s + 240 + 25753*s**2.
-4*(s - 10)*(s + 6)
Let b(m) be the third derivative of 3/10*m**6 + 0*m + m**2 - 56/15*m**5 + 31/2*m**4 - 12*m**3 - 10. Factor b(i).
4*(i - 3)**2*(9*i - 2)
Let b be 20/(-2) - 869/22*(-42)/147. Determine m, given that b*m**3 + 6/7*m + 15/7*m**2 + 0 = 0.
-1, -2/3, 0
Let h(q) be the third derivative of -q**7/42 - 5*q**6/12 - 13*q**5/12 + 25*q**4/2 - 30*q**3 - 4*q**2 + 2*q. What is m in h(m) = 0?
-6, 1
Let t(v) be the first derivative of -4*v**5/5 + 5*v**4 + 16*v**3 - 88*v**2 - 320*v + 856. Determine r so that t(r) = 0.
-2, 4, 5
Suppose 5*y + 6 = 2*r, -y = 36*r - 37*r + 3. Let w(c) = 2*c**2 + 1030*c + 53042. Let m(z) = 7*z**2 + 3090*z + 159127. Let x(s) = r*m(s) - 8*w(s). Factor x(i).
5*(i + 103)**2
Let h = -64 - -64. Let 4*o**3 + 63*o + 3 + 2*o**4 + h*o**3 - 71*o - 6*o**2 + 5 = 0. What is o?
-2, 1
Factor 1109205 - 4309*v + 5*v**2 + 1905*v - 2306*v.
5*(v - 471)**2
Let s(j) be the third derivative of j**5/150 - 87*j**4/10 + 22707*j**3/5 + 635*j**2. Find d, given that s(d) = 0.
261
Let i(o) be the third derivative of -100*o**2 - o - 19/330*o**5 - 17/33*o**3 + 1/660*o**6 + 35/132*o**4 + 0. Find t such that i(t) = 0.
1, 17
Let o(p) be the first derivative of 3*p**5/20 + p**4 + 7*p**3/6 - 3*p**2 - 9*p/4 + 689. Factor o(k).
(k - 1)*(k + 3)**2*(3*k + 1)/4
Let m(v) be the first derivative of 5*v**4/26 - 86*v**3/39 - 9*v**2/13 + 990*v/13 + 10139. Find l, given that m(l) = 0.
-3, 5, 33/5
Let i(p) = p**3 - p**2 + p + 1. Let m(t) be the first derivative of -3*t**4/2 + 8*t**3/3 - 7*t**2/2 - 5*t - 1. Let w(z) = 5*i(z) + m(z). Factor w(q).
-q*(q - 2)*(q - 1)
Let m(f) = 7*f**2 + 1278*f - 2582. Let i(z) = 29*z**2 + 5111*z - 10329. Let r(c) = -2*i(c) + 9*m(c). Factor r(h).
5*(h - 2)*(h + 258)
Let a(r) be the third derivative of r**8/448 - 13*r**7/70 + 97*r**6/160 + 77*r**5/40 - 49*r**4/8 - 25*r**3 + 2*r**2 - 1367*r. Determine m so that a(m) = 0.
-1, 2, 50
Factor -10014 + 32837*m**2 - 32841*m**2 - 7996*m + 2022.
-4*(m + 1)*(m + 1998)
Let r = -115 - -126. Let x(a) = 25*a**3 - 16*a**2 + 83*a - 48. Let d(w) = 9*w**3 - 5*w**2 + 28*w - 16. Let p(v) = r*d(v) - 4*x(v). Factor p(g).
-(g - 4)**2*(g - 1)
Let b be (207 + -212 + (6 + -3 - 0))/(-13). Determine y so that -8/13*y**2 + 4/13 - b*y**5 - 2/13*y + 4/13*y**4 + 4/13*y**3 = 0.
-1, 1, 2
Let t(v) be the third derivative of v**5/240 - 5*v**4/16 - 1965*v**2. Suppose t(a) = 0. Calculate a.
0, 30
Let x(z) be the third derivative of -z**8/504 + 2*z**7/315 + z**6/5 - 11*z**5/45 - 355*z**4/36 - 100*z**3/3 + 158*z**2 + 2*z - 5. Suppose x(w) = 0. What is w?
-4, -3, -1, 5
Suppose -156 = 2*v - 160. Determine c so that -25*c + 25*c + 32*c**4 + 20*c**5 + 4*c**3 - 8*c**v = 0.
-1, 0, 2/5
Let v be (3/(18/20))/((11925/30)/159). What is f in 0*f - 2/3*f**5 - v*f**2 + 2/3*f**3 + 4/3*f**4 + 0 = 0?
-1, 0, 1, 2
Let f(i) be the third derivative of -i**8/2940 + i**7/980 - i**5/420 - 89*i**3/6 - 2*i**2. Let b(a) be the first derivative of f(a). Solve b(z) = 0.
-1/2, 0, 1
Factor 444*c + 5*c**4 - 420*c - 1200 - 26*c**2 + 736*c - 30*c**3 - 49*c**2.
5*(c - 4)**2*(c - 3)*(c + 5)
Let i(x) = 29*x**3 - 1489*x**2 - 37500*x + 33. Let z(r) = 5*r**3 - 298*r**2 - 7500*r + 6. Let g(y) = 2*i(y) - 11*z(y). Find q, given that g(q) = 0.
-50, 0
Let p(y) be the third derivative of y**7/210 - 35*y**6/96 - 103*y**5/60 - 23*y**4/24 + 313*y**2 + 2. Factor p(u).
u*(u - 46)*(u + 2)*(4*u + 1)/4
Factor 0 + 2/5*l**3 + 4/5*l + 1/5*l**4 - 7/5*l**2.
l*(l - 1)**2*(l + 4)/5
Let b(s) be the first derivative of 0*s + 49/5*s**2 - 2/15*s**3 - 150. Factor b(j).
-2*j*(j - 49)/5
Let n be 54/480*-5*(-22 - -16). Let -3/8*t**4 - 21/8*t**3 + 0 + 51/8*t**2 - n*t = 0. Calculate t.
-9, 0, 1
Let l(i) be the third derivative of -i**5/130 + 872*i**4/39 + 1163*i**3/39 + 478*i**2 + 4*i. Solve l(c) = 0 for c.
-1/3, 1163
Let i(z) be the third derivative of 39/20*z**5 + 1/4*z**6 - 7*z**2 + 1 - z**4 - 8*z**3 + 0*z - 5/14*z**7. Determine s so that i(s) = 0.
-4/5, 1
Let u(c) be the third derivative of c**5/20 + 161*c**4/4 + 25921*c**3/2 + 34*c**2. Let u(b) = 0. What is b?
-161
Let y be 6720/(-768) - ((-11 - 2) + 3). Find n, given that 10 + 25/2*n**2 - 85/4*n - y*n**3 = 0.
1, 8
Let f = 483929 - 483925. Solve 14/9*q + 2/9*q**5 - 16/9*q**3 - 8/9 + 4/9*q**f + 4/9*q**2 = 0.
-4, -1, 1
Let k be (1 + 0)*-3 + 35/10. Let n be 240/64 - (105/(-10))/(-3). Factor -k*l**2 - n + 9/8*l.
-(l - 2)*(4*l - 1)/8
Let p = 47 - 42. Suppose 0 = -d + p - 3. What is q in 2*q**3 - 11*q**2 + 38*q**2 - 15*q**d + 8 + 18*q = 0?
-4, -1
Let s(z) = 11*z**2 - 1849*z + 859344. Let t(l) = 13*l**2 - 1848*l + 859347. Let i(u) = -6*s(u) + 5*t(u). Let i(a) = 0. Calculate a.
927
Factor -2*f**4 - f**3 + 3*f**4 - 34*f**2 + 873 - 873 - 10*f**2 + 84*f.
f*(f - 6)*(f - 2)*(f + 7)
Let j(m) be the first derivative of m**6/12 - 12*m**5/5 + 79*m**4/8 + 106*m**3 + 187*m**2 + 3219. Suppose j(w) = 0. Calculate w.
-2, 0, 11, 17
Factor 175 + 321 + 1354*d + 44 + 879363*d**2 - 879353*d**2.
2*(d + 135)*(5*d + 2)
Let o(j) = 27*j**2 - 176*j - 2. Let q(d) = 42*d**2 - 177*d - 3. Let x(g) = 3*o(g) - 2*q(g). Suppose x(b) = 0. What is b?
-58, 0
Let r be 3/(-2)*(-2 + (-8)/(-6)). Suppose 2*x - r = 3. What is j in 14*j**4 - 16*j**3 + j**3 - 24*j**x - 6*j - 6*j - 17*j**4 = 0?
-2, -1, 0
Let h(t) be the first derivative of 0*t**2 - 43 + 4/3*t**3 + 0*t - 1/5*t**5 + 1/6*t**6 - t**4. Determine r so that h(r) = 0.
-2, 0, 1, 2
Factor -34/3*l - 13*l**2 - 8/3*l**3 - 8/3 + 5/3*l**4.
(l - 4)*(l + 1)**2*(5*l + 2)/3
Let w be ((-16)/60)/(14/(-3)) + 10/70. Find h, given that w*h**2 - 5*h + 0 = 0.
0, 25
Let l(k) be the first derivative of -k**5/120 + 13*k**4/24 - 169*k**3/