ird derivative of -2/5*n**3 + 1/525*n**7 + 5*n**2 + 0*n - 7/150*n**5 - 1 + 13/60*n**4 - 1/300*n**6. Determine t, given that c(t) = 0.
-3, 1, 2
Let c = -75986 + 151973/2. Solve 3/2*f - c*f**2 - 1 = 0 for f.
1, 2
Let w(r) be the first derivative of -r**7/70 - 3*r**6/20 - 3*r**5/5 - r**4 + 31*r**2 + 3. Let l(i) be the second derivative of w(i). Factor l(n).
-3*n*(n + 2)**3
Factor -4*i**4 - 42*i**2 + 56/3*i**3 + 45*i + 1/3*i**5 - 18.
(i - 3)**3*(i - 2)*(i - 1)/3
Let f(b) be the third derivative of 17*b**6/360 + 59*b**5/90 + 163*b**4/72 - 5*b**3/9 + 1531*b**2. Solve f(w) = 0.
-5, -2, 1/17
Let b(p) be the first derivative of -p**6/8 + 27*p**5/20 + 39*p**4/16 - 25*p**3/4 - 18*p**2 - 15*p + 980. Find s, given that b(s) = 0.
-1, 2, 10
Determine n so that -276*n - 3/5*n**4 + 1320 - 774/5*n**2 - 87/5*n**3 = 0.
-11, -10, 2
Let m = 181598/323 - 10680/19. What is j in 16/17*j - m*j**2 + 0 = 0?
0, 8
Let x(n) be the first derivative of -3*n**4/4 - 40*n**3 + 552*n**2 - 2304*n + 1047. Factor x(z).
-3*(z - 4)**2*(z + 48)
Let i be (-1 + (-26)/(-18))/((-2)/(-9)). Let f be -10 + (544/40 - 3). What is o in 0 - 3/5*o**4 + f*o**i + 6/5*o - 9/5*o**3 + 3/5*o**5 = 0?
-1, 0, 1, 2
Let f be 8/(-12) + 550/6. Let a(z) = 4*z**2 + 67*z - 14. Let u be a(-17). Determine o, given that 78*o - 30*o**4 - 30*o**2 - 154*o - 65*o**u + 10 + f*o = 0.
-1, -2/3, 1/2
Let s = -13 - -16. Find f such that -21*f**3 - 9*f**4 - 2*f**s - 73*f**2 - 19*f**3 + 6 - 56*f - 22 = 0.
-4/3, -1
Suppose -16174*t**2 - 27*t - 5*t**5 + 16156*t**2 - 9*t + 0*t**5 + 22*t**3 + 3*t**5 + 2*t**4 = 0. What is t?
-3, -1, 0, 2, 3
Let k = -37401/40 - -15549/8. Factor 3/5*m**2 - 246/5*m + k.
3*(m - 41)**2/5
Suppose 12 = -130*p + 136*p. Find m such that -20*m + 6*m + 16*m**3 - p*m**5 - 374 - 12*m**2 + 386 = 0.
-3, -1, 1, 2
Let x(b) be the first derivative of -32/7*b + 0*b**2 + 1/28*b**4 + 2/7*b**3 - 79. Solve x(g) = 0.
-4, 2
Let s(t) = t**2 + 37*t - 38. Let h(u) = -9*u**2 - 369*u + 378. Let j be 4*(44/8 + -6). Let d(c) = j*h(c) - 21*s(c). Factor d(y).
-3*(y - 1)*(y + 14)
Let g be (-2)/6 + 28095/450. Let q = g + -198/5. Find w, given that -q*w**5 - 36*w**2 - 6*w - 153/2*w**3 - 69*w**4 + 0 = 0.
-1, -2/3, -2/5, 0
Let x = -7697 - -76971/10. Let u(j) be the second derivative of 0*j**3 + 0*j**6 + 0*j**4 + x*j**5 + 0 + 0*j**2 - 1/21*j**7 + 10*j. Factor u(m).
-2*m**3*(m - 1)*(m + 1)
Let b = -517 + 519. Factor -b*p + p**4 - 3*p**2 - 2438 + 2438.
p*(p - 2)*(p + 1)**2
Let r(y) = 2*y**3 - 32*y**2 + 2*y - 30. Let d(m) = -m**2 - 25*m - 84. Let j be d(-20). Let g be r(j). Factor -2/9*f**g - 2/3*f + 8/9.
-2*(f - 1)*(f + 4)/9
Suppose 104*s = 56*s. Suppose -35 = -5*w - 4*t, -3*w - 5*t - 29 + 63 = s. Find q, given that 1/3*q**2 - 1/3*q**4 + 2/3*q**w - 2/3*q + 0 = 0.
-1, 0, 1, 2
Let r be (-31)/(62/4) + (16 - 0). Suppose 9*g + 2 = -n + 8*g, 2*n + r = -4*g. Solve 1/2*c**n + 0 - 1/6*c**4 - 1/2*c + 1/6*c**2 = 0 for c.
-1, 0, 1, 3
Let y(a) = 35*a**3 - 110*a**2 + 35*a - 10. Let m(k) = -16*k - 159. Let o be m(-10). Let u(l) = l**3 - l**2 + 3*l. Let t(z) = o*y(z) + 10*u(z). Factor t(b).
5*(b - 2)*(3*b - 1)**2
Let s = -721 - -725. Suppose 5 - 2 = b. Determine t, given that -t**2 + 5*t**2 + 11*t**5 - s*t**4 + 4*t**b - 15*t**5 = 0.
-1, 0, 1
Find t, given that 1/8*t**2 - 5 + 39/8*t = 0.
-40, 1
Let y = 647 + -746. Let n be (-4)/16*44/y. Factor -n*x**5 + 7/9*x**3 + 0 + 0*x + 2/9*x**4 + 4/9*x**2.
-x**2*(x - 4)*(x + 1)**2/9
Factor -2/5*y**2 - 208/5*y + 42.
-2*(y - 1)*(y + 105)/5
Let w(r) = 11 + r + 0 - 8 + 11. Let l be w(-12). Factor 4*x + 6*x**4 - 27 - 5*x**4 + 31 - l*x**3 - 3*x**2.
(x - 2)**2*(x + 1)**2
Let i = 3236 + -29120/9. Let 0 + 4/9*p**2 - 2/9*p**5 + 0*p**3 - i*p**4 + 2/9*p = 0. What is p?
-1, 0, 1
Let t(j) = -2*j + 9. Let h be t(0). Suppose 4*q = h*q - 15. Solve -4*m**q + 17*m + 28*m + 64 + 3*m = 0 for m.
-2, 4
Let j = 18937 + -18894. Let v(c) be the first derivative of 2*c + c**2 + 1/6*c**3 - j. Factor v(f).
(f + 2)**2/2
Let g(x) be the second derivative of x**6/120 - 7*x**5/20 + 221*x**4/48 - 169*x**3/12 - 162*x + 1. Find k, given that g(k) = 0.
0, 2, 13
Suppose 48*m - 90*m**2 + 615 - 78*m**2 + 290*m**2 + 232*m - 97*m**2 = 0. What is m?
-41/5, -3
Suppose 111/2*x**3 - 57/2*x**4 + 1/2*x**5 + 0*x - 55/2*x**2 + 0 = 0. Calculate x.
0, 1, 55
Suppose -h + 1363 = -1275. Solve 2635*p**2 + 1 - 15*p - h*p**2 - 13 = 0 for p.
-4, -1
Factor -31*i - 90*i - 63*i + 870 + 0*i**2 - 2*i**2 + 4*i**2.
2*(i - 87)*(i - 5)
Let b(w) = -20*w**2 + 101*w - 37. Let s(i) = -21*i**2 + 99*i - 36. Let u(x) = -17*x + 107. Let t be u(6). Let l(v) = t*s(v) - 6*b(v). Factor l(o).
3*(o - 7)*(5*o - 2)
Determine l so that 7573*l + 16*l**2 - 9361*l - 13*l**2 + 266412 = 0.
298
Let c(r) = 3*r**3 - 347*r**2 + 1062*r + 258. Let a(m) = -13*m**3 + 1736*m**2 - 5309*m - 1289. Let i(s) = 6*a(s) + 29*c(s). Factor i(v).
(v - 3)*(v + 42)*(9*v + 2)
Let h(x) be the first derivative of 3*x**4/4 + 40*x**3 + 117*x**2/2 - 909. Find c, given that h(c) = 0.
-39, -1, 0
Let a be -1*36/14 - (-8)/14. Let c be (a/15)/((-65)/390). Determine w, given that 0*w + c*w**2 - 4/5 = 0.
-1, 1
Factor 8/9 + 2/9*l**2 - 8/9*l.
2*(l - 2)**2/9
Let g be (-4170)/360 + 12 - 2/(-6). Let n(m) be the first derivative of 0*m - g*m**4 - 9*m**2 - 7*m**3 + 9. Suppose n(p) = 0. What is p?
-6, -1, 0
Let t(q) = 875*q**2 - 3505*q + 23. Let k be t(4). Let n be (-3)/8*(-4)/6. Let 1/4*f**5 + 1/4*f**2 - n*f**k + 0*f + 0 - 1/4*f**4 = 0. What is f?
-1, 0, 1
Let g be (-12405)/20 - 3 - (-1)/4. Let a = g + 5608/9. Factor -4/9 - 5/9*n**3 + 1/9*n**4 + 8/9*n - 1/9*n**2 + a*n**5.
(n - 1)**3*(n + 2)**2/9
Let -60*j**3 + 144 - 956/9*j**2 - 4/9*j**5 + 32*j - 28/3*j**4 = 0. Calculate j.
-9, -2, 1
Let k(r) = r**2 + 16*r + 64. Let p be k(-10). Suppose 0*o + 252*o**2 - 1 + 17*o - 84*o**p - 171*o**3 + 4*o - 17 = 0. Calculate o.
-3, -2/7, 1/4, 1
Factor -188/9*j + 2/9*j**3 + 0 + 10*j**2.
2*j*(j - 2)*(j + 47)/9
Let u = -2570033/4 - -642509. Determine w, given that -u*w**2 - 27/4*w + 3/4*w**3 + 27/4 = 0.
-3, 1, 3
Suppose 12*t = 292601 - 292577. Let -4/5*n + 0 - 2/5*n**t = 0. Calculate n.
-2, 0
Let d(r) be the first derivative of -r**4/22 - 20*r**3/33 - 28*r**2/11 - 48*r/11 + 4499. Find q, given that d(q) = 0.
-6, -2
Let q = 6 - 94. Let u = q - -91. Determine x, given that -2*x**u - 4556*x + 4556*x - 4*x**2 = 0.
-2, 0
Let q(n) be the first derivative of -n**3 - 177*n**2 - 10443*n - 1809. Solve q(v) = 0 for v.
-59
Suppose -673*y - 361*y - 22*y + 5280 = 0. Suppose 8/3*r**3 + 0 - 8/9*r**2 + 2/9*r**y + 14/9*r**4 - 32/9*r = 0. What is r?
-4, -2, 0, 1
Let s(g) = -2*g**2 - 16*g - 21. Let o be s(-6). Factor -54*c**o + 56*c**3 - 339*c**5 + 337*c**5.
-2*c**3*(c - 1)*(c + 1)
Let b(w) = w**3 - 8*w**2 - 6*w - 21. Let h be b(9). Let s be (h/(-9))/(-2 + (-35)/(-18)). Find q, given that 2*q**2 - 4*q**2 + 5*q**2 - s*q = 0.
0, 4
Let q be 46/2 - 189/(-21). Suppose -78 = -58*t + q*t. Factor 21/8 + 3/8*a**2 + t*a.
3*(a + 1)*(a + 7)/8
Let f(r) be the third derivative of 0 - 16/105*r**5 - 22*r**2 + 2/21*r**4 - 1/42*r**3 + 0*r. What is a in f(a) = 0?
1/8
Let 84*f**3 - 14*f**3 - 23 - 9 - 20*f**2 - 74*f**3 - 32 + 88*f = 0. What is f?
-8, 1, 2
Let f(q) be the third derivative of 5*q**8/672 - 41*q**7/420 + 53*q**6/120 - 29*q**5/60 - 37*q**4/16 + 33*q**3/4 + 985*q**2. Suppose f(n) = 0. Calculate n.
-1, 1, 11/5, 3
Factor 7*d**2 + 13*d**2 - 1260 - 118*d - 19*d**2 - 3*d**2.
-2*(d + 14)*(d + 45)
Let g(m) be the second derivative of 2*m**7/21 - 62*m**6/15 + 339*m**5/5 - 1489*m**4/3 + 4160*m**3/3 - 1800*m**2 + 2163*m. What is s in g(s) = 0?
1, 9, 10
Let p = -487962 - -487964. Solve 3*u - 3*u**3 + 18/5 - 3*u**p - 3/5*u**4 = 0.
-3, -2, -1, 1
Let l(c) be the third derivative of -c**5/80 - 9*c**4/16 + 11*c**3 - 84*c**2 - 3*c. Factor l(j).
-3*(j - 4)*(j + 22)/4
Let -244 + 1691*s + 64*s**2 - 995*s - 875*s - s**3 = 0. What is s?
-1, 4, 61
Let m(f) = -5*f**3 + 250*f**2 - 968*f + 960. Let x(c) = 36*c**3 - 1749*c**2 + 6774*c - 6720. Let p(r) = 15*m(r) + 2*x(r). Factor p(s).
-3*(s - 80)*(s - 2)**2
Solve 2888/5*x - 988/5*x**2 + 816/5 - 40*x**4 - 1594*x**3 + 150*x**5 = 0 for x.
-3, -2/5, 2/3, 17/5
Let l(w) = 2*w**3 - 44*w**2 - 20*w + 128. Let v(b) = -6*b**3 + 135*b**2 + 63*b - 384. Let s(a) = 13*l(a) + 4*v(a). Factor s(f).
2*(f - 16)*(f - 2)*(f + 2)
Let j(a) be the second derivative of 94*a + 1/42*a**4 + 2/3*a**