) - 3*s(b). Factor q(m).
2*m*(m + 5)
Let z(i) be the second derivative of 63*i**5/4 - 925*i**4/12 - 40*i**3/3 + 30*i**2 + 203*i. Determine l, given that z(l) = 0.
-2/7, 2/9, 3
Let u(r) be the first derivative of -r**4/10 + 4*r**3 - 197*r**2/5 + 336*r/5 - 248. Determine z so that u(z) = 0.
1, 8, 21
Let j(t) = -11*t**2 - 136*t - 246. Let f(i) = i**2 + i + 1. Let n(o) = -6*f(o) - j(o). Let n(s) = 0. What is s?
-24, -2
Let k(d) be the second derivative of -7/3*d**3 - 1/60*d**5 + 6*d + 1/900*d**6 + 0 + 1/15*d**4 + 0*d**2. Let x(h) be the second derivative of k(h). Factor x(l).
2*(l - 4)*(l - 1)/5
Let f = -437916 + 437919. Factor -10*z - 6*z**2 + 50/3 - 2/3*z**f.
-2*(z - 1)*(z + 5)**2/3
Let p(j) be the first derivative of j**3/8 + 147*j**2/16 - 159*j/2 - 1221. Suppose p(d) = 0. What is d?
-53, 4
Let t(d) be the second derivative of -2/27*d**3 + 8/9*d**2 - 45 - 1/54*d**4 + 2*d. Factor t(m).
-2*(m - 2)*(m + 4)/9
Let p(i) = -7*i**2 - 2828*i - 132508. Let u(s) = -40*s**2 - 16025*s - 750880. Let j(n) = -45*p(n) + 8*u(n). Factor j(m).
-5*(m + 94)**2
Let m = 638 - 632. Let g(j) be the third derivative of 1/30*j**m - 4/3*j**3 - 1/2*j**4 + 0*j**5 + 0 - 26*j**2 + 0*j. Find l, given that g(l) = 0.
-1, 2
Factor -4/7*t**3 - 9*t**2 + 4 - 96/7*t.
-(t + 2)*(t + 14)*(4*t - 1)/7
Factor q**2 - 1/5*q**5 + 0*q + 7/5*q**4 + 0 - 11/5*q**3.
-q**2*(q - 5)*(q - 1)**2/5
Let w(y) be the second derivative of 100 - 2*y - 1/30*y**4 - 1089/5*y**2 + 22/5*y**3. Factor w(p).
-2*(p - 33)**2/5
Let o(k) be the third derivative of 54/7*k**3 + 0*k**4 - 9/140*k**5 + 98*k + k**2 + 0 + 1/280*k**6. Suppose o(d) = 0. What is d?
-3, 6
Suppose 4*p + 2*u + 2*u = 0, -8*u = 3*p - u + 10*u. Solve -1/2*l**3 + 1/3*l**2 + 0 - 1/3*l**4 + p*l = 0 for l.
-2, 0, 1/2
Suppose 145*p - 1265 = 30*p. Let b(m) be the first derivative of -75/4*m - 15/4*m**2 - 1/4*m**3 + p. Find t such that b(t) = 0.
-5
Let l(v) be the third derivative of -2*v**7/105 + 79*v**6/30 + 7*v**5/15 - 559*v**4/6 + 316*v**3 - 185*v**2 + 15*v. Let l(h) = 0. What is h?
-3, 1, 2, 79
Let d(t) be the first derivative of 0*t**2 - 1/3*t**3 + 0*t - 1/5*t**5 + 96 - 1/2*t**4. Factor d(p).
-p**2*(p + 1)**2
Let c(p) = p**3 + 6*p**2 - 2*p - 9. Let w = -27 + 21. Let x be c(w). Determine n, given that -3*n**2 + x*n**2 + 2 + n - n**2 = 0.
-1, 2
Suppose -48 = -4*g - 3*d, -3*g + 0*g = -4*d - 11. Find u such that -g*u - 7*u - 28*u**2 + 65*u**2 - 36*u**2 = 0.
0, 16
Suppose 108/7*x**2 + 708/7 + 578/7*x - 2/7*x**3 = 0. Calculate x.
-3, -2, 59
Let f(v) = 111*v + 1115. Let z be f(-10). Let g(j) be the second derivative of -1/220*j**z + 0*j**2 - 5/66*j**3 - 12*j + 0 + 1/22*j**4. Solve g(a) = 0 for a.
0, 1, 5
Let i(v) be the third derivative of -v**7/168 + 11*v**6/120 - 2*v**5/15 - v**4/2 + 47*v**3/6 + 28*v**2. Let z(a) be the first derivative of i(a). Factor z(j).
-(j - 6)*(j - 1)*(5*j + 2)
Suppose 3333*y - 3*r + 11 = 3338*y, -3*r - 25 = -4*y. Determine q, given that -24/7*q**2 + 12/7*q**3 - 6/7 + 20/7*q - 2/7*q**y = 0.
1, 3
Suppose 0 = -24*g - 10 + 58. Factor 2*s**3 + 1705*s**2 - 3411*s**g + 1698*s**2 + 8 - 2*s.
2*(s - 4)*(s - 1)*(s + 1)
Let x(q) be the second derivative of q**6/210 + 9*q**5/70 + 23*q**4/21 + 4*q**3/7 - 288*q**2/7 + 67*q + 10. Factor x(v).
(v - 2)*(v + 6)**2*(v + 8)/7
Let q(t) be the third derivative of -t**7/1155 + 333*t**6/220 - 997*t**5/110 + 2989*t**4/132 - 332*t**3/11 + 2645*t**2. Find v, given that q(v) = 0.
1, 996
Let -38932 + 120*k - 9*k**2 - 3*k**3 + 38932 = 0. Calculate k.
-8, 0, 5
Solve -83/5 + 167/5*x - 17*x**2 + 1/5*x**3 = 0 for x.
1, 83
Let o(k) be the first derivative of -3*k**6/5 - 8*k**5/5 + 2*k**4/3 + 74*k + 17. Let l(a) be the first derivative of o(a). Determine n, given that l(n) = 0.
-2, 0, 2/9
Suppose -69 = -2*a - 17. Let m be ((-1)/3)/(a/(-936)). What is d in -9/2*d**2 + m*d - 6 + 3/2*d**4 - 3*d**3 = 0?
-2, 1, 2
Let f = 3/5 + -1/10. Let a = -181194 + 362391/2. Find j, given that 0 - 2*j - f*j**4 + 0*j**2 + a*j**3 = 0.
-1, 0, 2
Let d(l) be the second derivative of 8*l**7/189 + 7*l**6/135 - 7*l**5/6 - 187*l**4/54 - 71*l**3/27 + 4*l**2/3 + 5048*l. Determine i, given that d(i) = 0.
-3, -1, 1/8, 4
Suppose -4*w = -2*g + 12, -5*g - 3*w - 2*w = -75. Suppose g*o - 8*o = 0. Find z, given that -4*z**3 - 2*z**4 + o*z**4 - 2*z + 5*z**2 - 2*z**4 + 5*z**4 = 0.
0, 1, 2
Solve 6080*o**2 - 7038752 + 4742545*o + 4*o**3 - 1238177*o + 1416*o**2 = 0 for o.
-938, 2
Let q(u) be the second derivative of 1/5*u**3 + 218*u - 2/25*u**5 - 1/15*u**4 + 1/105*u**7 + 0*u**2 + 2/75*u**6 + 0. Suppose q(l) = 0. Calculate l.
-3, -1, 0, 1
Let j be (-164)/(-5) + -1 + 2/10. Suppose -j*s - 6 = -35*s. Suppose 9*y**s + 2*y + 1 - 7*y**2 - 2 - 3 = 0. Calculate y.
-2, 1
Suppose 168 = 7*z + 154. Factor 24*g**z + 23*g**2 - 70*g**2 + 740*g - 8068 - 19312 + 18*g**2.
-5*(g - 74)**2
Let d be 95/10*(-128)/(2 + -6). Let h be 19/(d/(-56))*2/(-14). Factor 1/4*f**2 + h*f + 0.
f*(f + 2)/4
Let i(m) be the third derivative of -m**8/3360 + 7*m**6/360 - m**5/10 - m**4/8 + 13*m**3/3 + 166*m**2. Let k(h) be the second derivative of i(h). Factor k(a).
-2*(a - 2)*(a - 1)*(a + 3)
Let b(l) be the first derivative of 5*l**4/4 + 45*l**3/2 - 595*l**2/4 - 3796. Factor b(v).
5*v*(v + 17)*(2*v - 7)/2
Let m(k) = 4*k**3 + 21*k**2 - 43*k + 7. Suppose -5 = -4*s - 21. Let z(p) = -p**3 - 7*p**2 + 14*p - 2. Let n(x) = s*m(x) - 14*z(x). Suppose n(y) = 0. What is y?
0, 3, 4
Let y(a) be the third derivative of -a**6/150 - 137*a**5/75 - 803*a**4/6 + 31974*a**3/5 + 62*a**2 - 24*a. Factor y(p).
-4*(p - 9)*(p + 73)**2/5
Let l(i) = i**4 + i**3 + 2*i**2 + 3. Let u(g) = 17*g**4 + 89*g**3 + 151*g**2 + 57*g - 12. Let b(j) = -2*l(j) + u(j). Suppose b(p) = 0. What is p?
-3, -2, -1, 1/5
Let b = 16 + -11. Suppose -13 = -2*s - b*m - 1, -5*s + 3*m + 61 = 0. Factor -8 - s*x + 5*x**2 + 3 + 11*x.
5*(x - 1)*(x + 1)
Let r be ((-1)/4)/((-2848)/71200). Factor -51/4*i - 1/4*i**3 - 27/4*i**2 - r.
-(i + 1)**2*(i + 25)/4
Let y = -289 + 217. Let s be (-1372)/(-42)*(-81)/y. Solve -s + 21/2*l - 3/4*l**2 = 0 for l.
7
Let j be 3515/(-1406) + (1 - (-252)/40). Factor 8/5*a - 6/5*a**2 + j - 2/5*a**3.
-2*(a - 2)*(a + 2)*(a + 3)/5
Let c(s) be the second derivative of -s**7/273 - s**6/13 - 77*s**5/130 - 55*s**4/26 - 42*s**3/13 + 24*s. Solve c(v) = 0 for v.
-7, -3, -2, 0
Let n(v) be the third derivative of 5/12*v**4 + 2/3*v**3 + 2/15*v**5 + 0*v - 53*v**2 + 0 + 1/60*v**6. Solve n(j) = 0 for j.
-2, -1
Let p(i) be the first derivative of -3*i**4/20 + 134*i**3/5 - 6528*i**2/5 - 27744*i/5 + 829. Factor p(v).
-3*(v - 68)**2*(v + 2)/5
Let d(p) be the first derivative of -2*p**5/65 - p**4/13 + 62*p**3/39 + 92*p**2/13 + 120*p/13 + 2076. Determine b, given that d(b) = 0.
-5, -2, -1, 6
Let j = 7536/29 + -22550/87. Factor 12*c - j*c**2 + 38/3.
-2*(c - 19)*(c + 1)/3
Factor -30*w**5 + 25461*w**2 - 10082*w + 90*w**4 + 43*w**5 - 5581*w**2 - 370*w**4 - 15*w**5 - 9516*w**3.
-2*w*(w - 1)**2*(w + 71)**2
Let x = 6168 + -6163. Let a(f) be the second derivative of 2*f**2 + 1/5*f**4 + 15*f + 0 + 1/25*f**x - 6/5*f**3. Factor a(b).
4*(b - 1)**2*(b + 5)/5
Let f = -1626021 - -1626023. Factor 8/15*j - 2/15 - 8/15*j**f.
-2*(2*j - 1)**2/15
Let t = 3643 + -3638. Let d(l) be the second derivative of -32*l**2 - 9*l + 1/20*l**t - l**4 + 8*l**3 + 0. Determine n, given that d(n) = 0.
4
Let x = 0 - -2. Let v be ((4/(-5))/2)/((-890)/6675). Determine n so that -8/7*n**x + 36/7 + 2/7*n**v - 6/7*n = 0.
-2, 3
Factor 3*q**2 + 3395 - q**2 + 24*q**3 - 11*q**2 + 5*q**2 - 3407 - 26*q + 2*q**5 + 16*q**4.
2*(q - 1)*(q + 1)**3*(q + 6)
Let c(z) be the first derivative of -z**2 + 12*z - 19. Let s be c(5). Factor 3*i**2 - i**2 - 15*i + 20 - 7*i**s.
-5*(i - 1)*(i + 4)
Determine o, given that 6*o**4 + 100*o**2 + 2*o**4 + 131*o**5 - 66*o**5 + 110*o**3 - 67*o**5 = 0.
-5, -1, 0, 10
Factor -5/4*j**2 + 0 - 9/4*j.
-j*(5*j + 9)/4
Let j(k) be the third derivative of -k**5/27 + 7*k**4/36 - 2*k**3/27 + 8*k**2 - 21*k. Factor j(r).
-2*(r - 2)*(10*r - 1)/9
Let q be (-2 - (-2 - -4)) + (-304)/(-38). Factor 45*r**q - 360*r - 206*r**3 + 10 + 435*r**2 + 22 + 76 - 19*r**3 - 3*r**5.
-3*(r - 6)**2*(r - 1)**3
Let b = 4905 + -4902. Let o(n) be the first derivative of 3/2*n**b - 3/8*n**2 + 0*n**4 + 0*n - 24/5*n**5 - 13. Let o(y) = 0. Calculate y.
-1/2, 0, 1/4
Let d be (-33512)/(-4248) + (3 + 18)*3/(-9). Factor -d*z + 20