(q) = -5*c(q) + 2*i(q). Find j, given that a(j) = 0.
-9, -1, 1/4
Let d(k) = -k**3 - 11*k**2 - k - 6. Let r be d(-11). Suppose 17 = 6*c + r. Factor -5 - 542*j - 5*j**4 + 10*j**c + 542*j.
-5*(j - 1)**2*(j + 1)**2
Let t(j) = 6*j + 9. Let p be t(-1). Suppose p*x = 0, 2*x - 12 = -5*i + i. Factor -3*b + b - i*b**3 - 4*b**2 + 19*b**2 - 10*b.
-3*b*(b - 4)*(b - 1)
Factor 0*g + 0 + 69/2*g**3 - 1/4*g**4 + 139/4*g**2.
-g**2*(g - 139)*(g + 1)/4
Let r(k) be the third derivative of -7/24*k**3 + 0 + 7/240*k**5 + 1/96*k**4 - 1/480*k**6 - 2*k + 47*k**2. Factor r(j).
-(j - 7)*(j - 1)*(j + 1)/4
Let d(s) be the second derivative of 11*s**5/12 - 35*s**4/6 + 125*s**3/18 + 5*s**2 + 397*s. Factor d(a).
5*(a - 3)*(a - 1)*(11*a + 2)/3
Determine f, given that 33/5*f - 78/5 - 33/5*f**3 - 3/5*f**4 + 81/5*f**2 = 0.
-13, -1, 1, 2
Suppose -39*w + 396 = 55*w + 5*w. What is r in 0*r - 12/7*r**w + 4/7*r**5 - 16/7 - 4/7*r**3 + 4*r**2 = 0?
-1, 1, 2
Let z(p) be the second derivative of -1/54*p**4 + 11 + 2/27*p**3 + 8/9*p**2 + 2*p. Suppose z(k) = 0. Calculate k.
-2, 4
Let n = -315 - -300. Let p(h) = -2*h**2 + h. Let v(f) = -27*f**2 + 123*f + 972. Let j(x) = n*p(x) + v(x). Factor j(z).
3*(z + 18)**2
Find z such that -2/5*z**3 + 12502350 + 378*z**2 - 119070*z = 0.
315
Suppose -5*a + 210 = 2*i, a + 2*a - 110 = 2*i. Factor -55*c**4 + 20*c**4 - 35*c**3 - a*c + 20*c**4 + 10*c**4 - 70*c**2.
-5*c*(c + 1)*(c + 2)*(c + 4)
Let s be (330/(-77))/(-1)*49/245. Factor 4/7 + 0*g**2 - s*g + 2/7*g**3.
2*(g - 1)**2*(g + 2)/7
Let s(i) be the third derivative of -1681/33*i**3 - 1/330*i**5 - 10*i**2 + 0*i + 41/66*i**4 + 5. Factor s(x).
-2*(x - 41)**2/11
Let l be (-24)/(-10)*(497/568 - 1/4). Determine g so that 0 - l*g**3 - 3*g**2 - 3/2*g = 0.
-1, 0
Let x be (-1700)/(-32) - (106 + -53). Factor -x*v**2 - 17/8 - 9/4*v.
-(v + 1)*(v + 17)/8
Determine w so that -17*w**2 - 225*w**2 + 63948 - 14235*w - 217*w**2 - 3*w**3 + 16*w**2 + 17*w**2 = 0.
-73, 4
Factor 4/7*n**2 - 288/7*n + 1340/7.
4*(n - 67)*(n - 5)/7
Let n be 2/42*343/98*30. Let -8*i**4 - 33/2*i**2 - 20*i**3 - 1/2 - n*i = 0. Calculate i.
-1, -1/4
Let l(m) be the second derivative of -m**7/84 + m**6/15 + 3*m**5/10 - 4*m**4/3 - 16*m**3/3 - 2*m - 359. Factor l(d).
-d*(d - 4)**2*(d + 2)**2/2
Let o be (-48)/40 - -3 - (-8 - -9). Let x(b) be the first derivative of -30 + 1/2*b**2 + o*b + 1/15*b**3. Factor x(h).
(h + 1)*(h + 4)/5
Suppose 652 = 7*a - 5970. Let z = a + -944. Let -64/7 - 564/7*w**z + 384/7*w - 10*w**3 + 96/7*w**4 + 18/7*w**5 = 0. Calculate w.
-4, 1/3, 2
Let j = -1/402167 - -1206505/1608668. Let m be (-6)/(-2)*3/6. Find a such that -3/4*a + j*a**3 + m - 3/2*a**2 = 0.
-1, 1, 2
Let m = -1151 - -1157. Let v(s) be the third derivative of 1/600*s**5 + 17*s**2 + 0 + 3/700*s**7 + 1/840*s**8 + 0*s**4 + 1/200*s**m + 0*s**3 + 0*s. Factor v(u).
u**2*(u + 1)**2*(4*u + 1)/10
Let p(y) be the second derivative of 25*y**4/12 + 535*y**3/6 - y - 2521. Factor p(k).
5*k*(5*k + 107)
Let y(j) = j**3 - 5*j**2 - 3*j - 8. Let x be y(6). Let z be ((440/x)/11)/(-1 + 15). Factor 0 + 2/7*s**4 - z*s**3 - 4/7*s**2 + 0*s.
2*s**2*(s - 2)*(s + 1)/7
Let x(l) be the third derivative of -l**8/50400 - l**7/525 - 23*l**6/1800 + 27*l**5/20 - 148*l**2. Let a(j) be the third derivative of x(j). Factor a(u).
-2*(u + 1)*(u + 23)/5
Let g = 9521/12 - 793. Let h(m) be the first derivative of 3 + 125/4*m + g*m**3 - 25/4*m**2. Factor h(p).
5*(p - 5)**2/4
Let j(t) be the first derivative of -t**6/105 - 9*t**5/35 + 38*t - 212. Let l(r) be the first derivative of j(r). Solve l(g) = 0.
-18, 0
Let k(a) = -a**2 + 1. Let c(z) be the third derivative of -z**6/30 - 7*z**5/60 - z**4/3 - 5*z**3/6 + 64*z**2. Let d(f) = c(f) + 5*k(f). Factor d(u).
-4*u*(u + 1)*(u + 2)
Let h be 9177/(-1610)*(35/42)/(-1). Find t, given that 3/2*t + 0 + t**5 - 7/4*t**4 - 11/2*t**3 + h*t**2 = 0.
-2, -1/4, 0, 1, 3
Suppose -m = 5*v - 1, -4*v + 3*v = 2*m - 2. Let x(d) be the first derivative of -2/3*d**6 + 4/3*d**3 - 13 + 12/5*d**5 - 3*d**4 + 0*d**2 + v*d. Factor x(b).
-4*b**2*(b - 1)**3
Let g be -24 + 21 + -2 + 9. Let i(d) = d + 2. Let s(c) = -c**2 + 6*c - 8. Let m(w) = g*i(w) + 4*s(w). Find j, given that m(j) = 0.
1, 6
Let p be (-2688)/264 + 10 - 6/(-33). Let 20/3*m + 5*m**4 + 5/3*m**3 - 40/3*m**2 + p = 0. Calculate m.
-2, 0, 2/3, 1
Let r(v) be the second derivative of -1/20*v**5 + 0 - 10*v + 7/6*v**4 + 6*v**2 - 25/6*v**3. Factor r(o).
-(o - 12)*(o - 1)**2
Suppose 6*l - 77 - 13 = 0. Let t be (2*8/(-56))/((-8)/70). Factor t*s**4 + 15*s - 45/2 - l*s**3 + 20*s**2.
5*(s - 3)**2*(s - 1)*(s + 1)/2
Let f(g) be the first derivative of -g**6/30 - g**5/5 + g**4/10 + 8*g**3/5 - 1205. Suppose f(t) = 0. Calculate t.
-4, -3, 0, 2
Let r(i) be the first derivative of i**5/25 - 8*i**4/5 - 147*i**3/5 - 674*i**2/5 - 1204*i/5 - 1872. Determine j so that r(j) = 0.
-7, -2, 43
Suppose r + j = 13584, -8*r - 13584 = -9*r + 2*j. Find u, given that 8076*u**3 - r*u**2 - 1575*u**4 + 5952*u - 768 - 460*u**4 + 147*u**5 + 187*u**4 = 0.
2/7, 4
Let i(r) = -7*r**3 - 106*r**2 - 88*r + 186. Let n(o) = 20*o**3 + 316*o**2 + 264*o - 560. Let d(q) = -8*i(q) - 3*n(q). Factor d(w).
-4*(w - 1)*(w + 2)*(w + 24)
Suppose -2/11*x**5 + 7264/11*x - 1954/11*x**2 - 94/11*x**4 - 90*x**3 - 384 = 0. Calculate x.
-33, -8, 1
Let z(v) be the third derivative of 1/1512*v**8 + 0*v**3 - 1/189*v**7 + 0*v - 7/270*v**5 + 0 + 1/54*v**4 - 51*v**2 + 1/60*v**6. Let z(b) = 0. Calculate b.
0, 1, 2
Let r(f) be the first derivative of -f**3/3 + 55*f**2/2 - 624*f - 4867. Factor r(d).
-(d - 39)*(d - 16)
Let c(j) be the third derivative of -3*j**6/8 - 13*j**5/20 + 91*j**4/4 - 12*j**3 - 224*j**2 + 13*j. Factor c(t).
-3*(t - 3)*(t + 4)*(15*t - 2)
Let u = -203 + 202. Let l be -2 + (u - -1) + 5. Factor 4/9*d - 4/9*d**l + 0 + 4/9*d**4 - 4/9*d**2.
4*d*(d - 1)**2*(d + 1)/9
Let k be ((-432)/(-576) - 2/(-24))/(0 - 20/(-12)). Factor 2*q**3 + 3/2*q**2 - 4 - 5*q - k*q**4.
-(q - 4)*(q - 2)*(q + 1)**2/2
Let t(v) be the third derivative of -2*v**7/315 - 3*v**6/10 + 21*v**5/5 - 293*v**4/18 + 88*v**3/3 - 20*v**2 - v + 44. Let t(m) = 0. Calculate m.
-33, 1, 4
Let -9/4*g**4 - 63/4*g + 5/2 - 21/4*g**3 + 107/4*g**2 = 0. Calculate g.
-5, 1/3, 2
Let f be (-16652)/(-10002)*2/3. Let w = f + 2/1667. Factor -2*x**2 - 2/9*x**4 - w*x**3 - 14/9*x - 4/9.
-2*(x + 1)**3*(x + 2)/9
Let i(y) = -y**3 - y**2 - 2*y. Let w(o) = -8*o - 80*o**2 - 4*o + 68*o**2 - 9*o - 11. Let v(q) = -4*i(q) - 4*w(q). Let v(k) = 0. What is k?
-11, -1
Let k(z) be the second derivative of 2*z**6/9 + 51*z**5/20 - 121*z**4/18 + 5*z**3/6 + 9*z**2 - 1715*z. Solve k(y) = 0.
-9, -2/5, 3/4, 1
Let r(x) be the third derivative of 1/3*x**4 + 2/45*x**6 - 44*x**2 + 1/2016*x**8 + 4/9*x**3 + 0 + 1/140*x**7 + 7/45*x**5 + 0*x. Factor r(t).
(t + 1)*(t + 2)**4/6
Suppose 0 + 0*r + 1/6*r**4 + 0*r**2 - 5/3*r**3 = 0. What is r?
0, 10
What is o in 803*o**3 + 30752 + 31744*o - 6872*o**3 - 6688*o**2 - 1859*o**3 - 250*o**4 - 2*o**5 = 0?
-62, -2, -1, 2
Suppose 0 = 28*s - 26*s - 6. Factor -15*q**3 - 1543*q + 799*q - 9*q**2 + 771*q - s*q**4.
-3*q*(q - 1)*(q + 3)**2
Let j = 136889/4 - 34222. Find p, given that 5/4*p**2 - j*p**3 + 0 + 0*p = 0.
0, 5
Let n = 35699/4 - 8924. Let o(c) be the first derivative of 0*c - 3/8*c**4 - n*c**6 + 3/2*c**5 - 1/2*c**3 + 31 + 0*c**2. Factor o(i).
-3*i**2*(i - 1)**2*(3*i + 1)/2
Let b(c) = c**3 - c**2 - 4*c + 5. Let r be b(2). Suppose -2*p + 21 = r. Factor 12 + p + 3*d - 19 - 3*d**2 - 3*d**3.
-3*(d - 1)*(d + 1)**2
Suppose -2*u + 9 = 5. Let 6*r**2 - 2*r + u*r + 4*r + 2*r**3 = 0. Calculate r.
-2, -1, 0
Let o be (-2)/4*(-60)/15. Factor o*m**3 - 24*m - 22*m**2 + 22639 - 22639.
2*m*(m - 12)*(m + 1)
Suppose 63 = -12*d + 33*d. Let 4*r**2 - 2 - 6*r**d + 0*r**2 + 2*r**2 + 7*r**3 + 6 + 9*r = 0. What is r?
-4, -1
Let u(l) be the first derivative of 9/5*l**5 - 11*l**3 - 3/4*l**4 + 113 - 18*l**2 - 12*l + 1/2*l**6. What is q in u(q) = 0?
-2, -1, 2
Let r be (39 - 19799/507) + (-119)/(-39). Let o(k) be the second derivative of 0*k**2 - 4/15*k**r - 32*k + 0 + 1/15*k**4. Let o(b) = 0. What is b?
0, 2
Let s(h) be the second derivative of -1/20*h**5 + 0 - 41*h + 2/3*h**3 - 1/4*h**4 + 0*h**2. Factor s(x).
-x*(x - 1)*(x + 4)
Let q(i) be the second derivative of 1/5*i**5 + 8 + 1/3*i**3 - 9*i + 5/6*i**4 - 2*i**2. Let q(o) = 0. What is o?
-2, -1, 1/2
Find j, given that -30853*j + 3*j**2