 derivative of -l**7/1155 + l**6/330 + 91*l**5/330 - 68*l**4/33 + 60*l**3/11 - 2*l**2 + 69*l - 3. Find k, given that a(k) = 0.
-10, 1, 2, 9
Let m(y) be the first derivative of -y**5/80 - y**4/12 + 59*y - 127. Let z(d) be the first derivative of m(d). Factor z(s).
-s**2*(s + 4)/4
Let j(o) be the third derivative of -o**6/40 - 11*o**5/5 + o**4/2 + 88*o**3 + o**2 + 15*o + 47. Factor j(y).
-3*(y - 2)*(y + 2)*(y + 44)
Let d(o) = -22*o**3 - 1700*o**2 + 16*o + 8384. Let s(b) = -10*b**3 - 872*b**2 + 8*b + 4192. Let c(m) = 4*d(m) - 9*s(m). Solve c(q) = 0.
-524, -2, 2
Let v(k) be the third derivative of -k**6/320 + 23*k**5/20 - 183*k**4/64 - 4448*k**2. Factor v(c).
-3*c*(c - 183)*(c - 1)/8
Factor 222 - 4*d**2 + 371 + 192 + 295 + 57*d + 27*d.
-4*(d - 30)*(d + 9)
Determine i so that -1287*i**3 + 432*i**3 + 419*i**3 + 980*i + 118*i**2 - 6*i**2 + 2600 + 440*i**3 = 0.
-13, -10, -5
Let y be (2 + -3 - -1)/(10 + -9). Let a be y - (-10 - 8/(-10)). Determine r, given that 28/5 + 6/5*r**2 + a*r = 0.
-7, -2/3
Suppose 41 = 4*z - 7. Factor -2006*a + 2*a**3 + 2106*a + 23*a**3 + 108*a**2 + z*a**2 + 5*a**4 + 20*a**3.
5*a*(a + 2)**2*(a + 5)
Let k(w) be the third derivative of 2/15*w**4 + 42*w**2 + 0*w + 0 + 17/30*w**3 - 1/300*w**5. What is s in k(s) = 0?
-1, 17
Let o(y) = -7*y - 16. Let p be o(-3). Suppose h - 4 = 1. Factor h*t**3 + 0*t**3 + 0*t - p*t.
5*t*(t - 1)*(t + 1)
Suppose 0 = -3*m + f - 20 + 30, 0 = f + 1. Suppose -d + 6 = 2*g, 2*g = -g + m*d. Determine b, given that -1 - 2/3*b + 1/3*b**g = 0.
-1, 3
Suppose 7*i = -2*i + 54. Factor -78*k**2 + 226*k**2 + i + 8*k - 73*k**2 - 73*k**2.
2*(k + 1)*(k + 3)
Let j(c) be the third derivative of c**5/270 + 67*c**4/108 + 22*c**3/9 + 630*c**2. Factor j(m).
2*(m + 1)*(m + 66)/9
Let q(u) be the first derivative of -4*u**3/3 + 150*u**2 + 304*u - 786. Solve q(h) = 0 for h.
-1, 76
Let v = 420 + -420. Let l be (-17)/(119/(-66)) + -9. Suppose v - l*y**2 - 3/7*y = 0. What is y?
-1, 0
Suppose 0 = p + 3*k - 17, -2175*k + 2176*k = 3*p - 1. Let h(y) be the second derivative of -2*y**p + 0 + 1/4*y**5 - 42*y + 2/3*y**3 + 13/12*y**4. Factor h(u).
(u + 1)*(u + 2)*(5*u - 2)
Let d(t) be the second derivative of -1/170*t**5 + 127*t - 2/51*t**3 - 1/34*t**4 + 0*t**2 + 0. Factor d(f).
-2*f*(f + 1)*(f + 2)/17
Suppose 0 = -11*h - 18 + 194. Factor x**3 + h*x**2 + x**3 + 24 + 2*x + 36*x.
2*(x + 1)*(x + 3)*(x + 4)
Let i(z) = -z**3 - z + 1. Let f(j) = 48*j**3 - 28*j**2 + 4*j - 12. Let l(c) = 7*c**2 - 20*c - 2. Let o be l(3). Let h(a) = o*f(a) + 12*i(a). Factor h(w).
4*w*(w - 1)*(9*w + 2)
Let y(f) be the second derivative of -3 - 1/32*f**4 + 5/48*f**3 - 1/240*f**6 + 1/4*f**2 - 1/32*f**5 + 29*f. Factor y(n).
-(n - 1)*(n + 1)**2*(n + 4)/8
Factor -3/8*l**2 - 1059/4*l - 373827/8.
-3*(l + 353)**2/8
Let o = 21887 + -109434/5. Solve -16/5*l + o*l**2 + 64/5 = 0.
8
Suppose 6*k = 3*k + 6. Let p = 140 - 138. Find u, given that 7*u**2 - 3*u**5 + 11*u**p + 8*u**4 - 16*u**k - 7*u**3 = 0.
0, 2/3, 1
Let q(h) = h**2 - 6*h + 3. Let n(a) = -12*a**2 + 117*a - 297. Let o(b) = -n(b) - 9*q(b). Factor o(l).
3*(l - 15)*(l - 6)
Let c(t) be the first derivative of -4*t**5/5 + 2*t**4 + 80*t**3/3 - 132*t**2 + 180*t + 10981. Find r, given that c(r) = 0.
-5, 1, 3
Let u(q) be the first derivative of q**5/5 - q**4/4 - 2*q**3 + 1407. Suppose u(a) = 0. Calculate a.
-2, 0, 3
Let x(o) = 3*o - 16. Suppose -u - 3 = -4, 6 = i - u. Let m be x(i). Suppose -19*k**2 - 9*k**2 - 4*k**5 - 10*k**m + 32*k**4 + 22*k - 4 - 8*k**3 = 0. Calculate k.
-1, 2/7, 1
Let x be (2 - (-410)/(-180))/(-5). Let k(n) be the first derivative of 0*n - 24 + x*n**4 - 2/27*n**3 + 0*n**2. Factor k(f).
2*f**2*(f - 1)/9
Let j be 246/4 - 3/(-2). Suppose 105 = 6*z - j. Solve -4 + 84*h - z*h**2 - 24 - 4 - 204*h = 0.
-4, -2/7
Let l(g) be the first derivative of 2*g**5/45 - 32*g**4/9 - 130*g**3/27 + 956. Let l(t) = 0. What is t?
-1, 0, 65
Let s(k) be the first derivative of -k**6/240 + 17*k**5/80 + 9*k**4/8 + 17*k**3/3 - 5*k**2/2 + 56. Let l(o) be the third derivative of s(o). Factor l(h).
-3*(h - 18)*(h + 1)/2
Let v = 367570/117 + -28258/9. Suppose -v - 22/13*q + 2/13*q**2 = 0. What is q?
-1, 12
Let q be 6/(-24)*4*-3. Factor -4*i**2 + q*i**2 - 62*i + 30*i + 3*i**2.
2*i*(i - 16)
Let c(j) = -7*j**3 - j**2 - 10*j - 6. Let n(d) = -6*d**3 - 9*d - 5. Let w(a) = 2*a**2 - 13*a - 13. Let o be w(7). Let x(y) = o*n(y) + 5*c(y). Factor x(u).
u*(u - 4)*(u - 1)
Let p(c) be the third derivative of c**6/40 - 13*c**5/2 + 544*c**4 - 4096*c**3 + 2*c**2 - 2*c - 654. Find a such that p(a) = 0.
2, 64
Let j(b) be the first derivative of 2*b**6/3 + 128*b**5/5 - 103*b**4 + 280*b**3/3 + 2789. Determine i so that j(i) = 0.
-35, 0, 1, 2
Let j(b) be the first derivative of 0*b**2 + 40 + 7/2*b**5 + 25/8*b**4 + 0*b - 5/3*b**3. What is a in j(a) = 0?
-1, 0, 2/7
Let o(l) = 7645*l + 38234. Let f be o(-5). Determine b so that 3*b**3 + 0 - 21/4*b**5 + 0*b**2 - f*b**4 + 0*b = 0.
-2, 0, 2/7
Suppose -172 = 23*p - 27*p. Determine u, given that -63*u**2 + 6*u + 25*u**3 - 11*u + p*u**2 = 0.
-1/5, 0, 1
Let q be 40/(-6)*29/(870/(-6768)). Let p = q + -1499. Let -3/2*l**2 + 7/2*l**4 + 0 + 0*l - l**3 - l**p = 0. What is l?
-1/2, 0, 1, 3
Let t(f) be the first derivative of -5*f**3/3 - 7*f**2 - 5*f + 1493. Let g(q) = -q. Let c(s) = -s + 9. Let h be c(5). Let p(n) = h*g(n) - t(n). Factor p(b).
5*(b + 1)**2
Suppose -129*p + 26*p**2 + 173*p - 3*p**2 + 4*p**3 + 1108*p + 1024 + 109*p**2 = 0. Calculate p.
-16, -1
Let m(o) = o**2 - 6*o. Let s be m(-2). Suppose -2*f + 3*h + s = 0, h = -2*f - 0*h. Factor 2 + 2470*z**2 + 2 + z**3 - 2473*z**f.
(z - 2)**2*(z + 1)
Solve 288/19 + 6/19*m**2 - 2/19*m**4 + 436/19*m - 144/19*m**3 = 0 for m.
-72, -1, 2
Let y(g) be the third derivative of -g**8/1008 - g**7/630 + 7*g**6/360 + g**5/180 - g**4/12 + 3028*g**2. Find j, given that y(j) = 0.
-3, -1, 0, 1, 2
Let h(z) be the second derivative of 0 - 2/9*z**2 + 43*z + 5/108*z**4 - 1/270*z**6 + 0*z**3 + 0*z**5. Let h(q) = 0. What is q?
-2, -1, 1, 2
Let q(k) = 3*k**2 + k - 2. Let h be q(-3). Suppose 19*w - h*w + 396 = 0. Let w*y**2 + 64 - 3*y**4 + 4*y**4 - 43*y - 40*y**3 + 3*y**4 - 117*y = 0. Calculate y.
1, 4
Let p(f) = -2*f**4 + 69*f**3 - 83*f**2 - 144*f - 5. Let y(n) = 2*n**4 - 68*n**3 + 78*n**2 + 140*n + 4. Let h(i) = -4*p(i) - 5*y(i). Factor h(z).
-2*z*(z - 31)*(z - 2)*(z + 1)
Let a(v) = -v**3 - 9*v - 1. Let f(y) = 20*y**3 - 4*y**2 + 256*y + 82. Let j(g) = 44*a(g) + 2*f(g). Factor j(k).
-4*(k - 5)*(k + 1)*(k + 6)
Let h be 2 + (-3 - -3) - -7. Suppose h = 4*q - 11. Suppose 8*b**4 - 6*b**3 - 3*b**3 - 4*b**q + 5*b**3 = 0. Calculate b.
0, 1
Let b(y) be the first derivative of 4*y**5/5 - 12*y**4 + 164*y**3/3 - 84*y**2 - 4711. Solve b(q) = 0.
0, 2, 3, 7
Let r be (1260/150 - 22) + 1 + 15. Solve -r*o**2 + 36/5*o - 27/5 = 0 for o.
3/2
Let t(c) be the second derivative of -c**5/90 - 5*c**4/54 + 17*c**3/27 + 7*c**2/3 + 728*c. Solve t(u) = 0 for u.
-7, -1, 3
Let x(z) be the third derivative of z**7/2520 + z**6/360 - z**5/5 + 35*z**4/8 + 23*z**2. Let v(b) be the second derivative of x(b). Solve v(f) = 0.
-6, 4
Let c(f) be the third derivative of f**6/300 + 29*f**5/50 - 22*f**4/15 - 927*f**2. Determine k, given that c(k) = 0.
-88, 0, 1
Let d(z) be the first derivative of z**8/420 - 4*z**7/105 + 2*z**6/9 - 8*z**5/15 + 118*z**3/3 - 129. Let u(i) be the third derivative of d(i). Factor u(o).
4*o*(o - 4)*(o - 2)**2
Factor 2/19*b**2 + 60/19*b + 208/19.
2*(b + 4)*(b + 26)/19
What is l in 18/11*l - 2/11*l**2 + 0 = 0?
0, 9
What is x in 118/3*x**4 + 14/3*x**5 - 232/3*x**3 - 40*x**2 + 0*x + 0 = 0?
-10, -3/7, 0, 2
Let d(a) = a**4 - a**3 - a - 1. Let u(o) = -5*o**5 - 30*o**4 - 240*o**3 + 65*o**2 + 175*o - 35. Let k(z) = 35*d(z) - u(z). Solve k(v) = 0.
-7, -6, -1, 0, 1
Suppose 1 = -5*s - 3*m - m, 4*s + 2*m - 4 = 0. Factor -4*o + 8*o - 7*o**2 - s*o**2 - 22*o + 4.
-2*(o + 2)*(5*o - 1)
Solve 10*b**3 - 4*b**5 - 160*b**4 - 73*b**3 - 93*b**3 = 0.
-39, -1, 0
Let x(t) be the second derivative of -t**6/30 + t**5/20 + 7*t**4/4 - 41*t**3/6 + 10*t**2 + 13*t - 1. Factor x(d).
-(d - 4)*(d - 1)**2*(d + 5)
Let t(u) be the first derivative of u**3 - 3*u**2 - 9*u + 1389. Let t(b) = 0. What is b?
-1, 3
Let t(n) be the third derivative of n**7/84 - n**6/30 - 13*n**5/15 - 10*n**4/3 - 4*n**3 + 3*n**2 - 78. Factor t(c).
(c - 6)*(c + 2)**2*(5*c + 2)/2
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