third derivative of -v**7/105 + 19*v**5/10 + 49*v**4/3 + 60*v**3 - 385*v**2. Determine p so that c(p) = 0.
-5, -2, 9
Let l(z) = -25*z**2 + 51*z**2 - 3*z**3 - 22*z**2 + 13*z + 8 + 1. Let x(i) = -i**3 - i + 1. Let d(w) = l(w) - x(w). Determine p, given that d(p) = 0.
-1, 4
Let l(k) be the third derivative of k**7/630 - 11*k**6/36 + 9*k**5/5 - 161*k**4/36 + 107*k**3/18 + 1357*k**2. Suppose l(i) = 0. What is i?
1, 107
Let y = 43066 + -43048. Suppose k - 59 = -3*v, -48 = -4*v + 2*v - 5*k. Determine q so that -v - 21*q**3 + 13 + 0 - 12*q**4 + 21*q + y*q**2 = 0.
-2, -1, 1/4, 1
Let v = 8297 - 8294. Let o(u) be the first derivative of 10*u**2 - 4/3*u**v - 24*u - 3. Suppose o(x) = 0. Calculate x.
2, 3
Suppose -y + 66 + 135 = 4*p, 0 = 2*y + 5*p - 417. Let q = 221 - y. Let 0*x - 3/7*x**2 + q = 0. What is x?
0
Suppose -2*k + 26 = -4*q, 0*k - 3*k + 21 = 3*q. Determine l, given that 100 + 3*l**4 + 60*l - k*l**2 - 53 - 83 - 18*l**3 = 0.
-2, 1, 6
Let t(u) be the third derivative of -u**6/200 + 53*u**5/100 - 13*u**4/10 + u**2 + 336*u. Suppose t(z) = 0. What is z?
0, 1, 52
Let t(p) = -1338*p + 14721. Let m be t(11). Factor 2/23*l**m + 12/23*l**2 + 12/23 + 22/23*l.
2*(l + 1)*(l + 2)*(l + 3)/23
Let m(w) = 4*w - 130. Let j be m(33). Factor -k**3 + 16*k**2 - 4*k - 13*k**j + 2*k**2.
-k*(k - 4)*(k - 1)
Factor 10*t**4 - 30*t**4 - 247*t**3 - 984*t**2 + 16*t**4 + 8*t**4 - 237*t**3.
4*t**2*(t - 123)*(t + 2)
Let w be 63 - 8/(16/18). Suppose 68*f = w*f. Factor -4/7*d + 2/7*d**3 - 2/7*d**2 + f.
2*d*(d - 2)*(d + 1)/7
Suppose 12 = 7*t - 3*t. Let k be 2/(((-8)/(-28))/(t/7)). Factor -4*v**2 - 4*v**4 + 0*v + 55*v**3 + 0*v - 47*v**k.
-4*v**2*(v - 1)**2
Let o(x) = -x**2 - 179*x - 7380. Let l be o(-114). Let g(u) be the first derivative of l*u - 93/2*u**2 + 3*u**3 - 38. Factor g(h).
3*(h - 10)*(3*h - 1)
Let h be (8/(-90))/((-6)/20*38/57). Let z(d) be the first derivative of -h*d**3 - 14/3*d**2 - 40/3*d - 7. Factor z(n).
-4*(n + 2)*(n + 5)/3
Let y = -34534 + 172678/5. Let 0 - 2/5*t**2 + y*t = 0. Calculate t.
0, 4
Let m(x) be the second derivative of -7/6*x**4 + 4 - 5*x - 20*x**2 + 1/10*x**5 - 28/3*x**3. Factor m(r).
2*(r - 10)*(r + 1)*(r + 2)
Let w be 4 + 4/(-1) - -3. Factor 0*f**2 + 15*f - 9 + 0*f**2 + 11*f**3 - 14*f**w - 3*f**2.
-3*(f - 1)**2*(f + 3)
Let u be (-1)/(((-49)/21)/7). Factor o**u - 48*o**2 - 4 - 4*o + 52*o**2 + 3*o**3.
4*(o - 1)*(o + 1)**2
Let u(s) = s**2 - 6*s + 5. Let n be u(5). Let q = -175/134 + 1195/402. Factor 1/3*d + n + 4/3*d**3 - q*d**2.
d*(d - 1)*(4*d - 1)/3
Let z(b) be the first derivative of 45 + 10/3*b**3 + 65/2*b**2 - 5/4*b**4 + 50*b. Factor z(k).
-5*(k - 5)*(k + 1)*(k + 2)
Let c(v) be the second derivative of 38/9*v**2 + 20/27*v**4 - 1/90*v**5 + 33*v + 0 - 77/27*v**3. Factor c(l).
-2*(l - 38)*(l - 1)**2/9
Let m = 194243/4 + -48559. Determine t so that -3 - 8*t + 39/4*t**2 + 3*t**3 - m*t**4 = 0.
-2, -2/7, 1, 3
Suppose -2*n - m + 59 = 4*m, 0 = 5*n + m - 182. Let i = -190 + 193. Suppose -3*d**3 + 0 + 6 - 46*d**2 + i*d**4 + n*d**2 + 3*d = 0. Calculate d.
-1, 1, 2
Let q(a) be the second derivative of -8*a**5/5 - 2956*a**4/3 - 2953*a**3/3 - 369*a**2 - 616*a - 2. What is t in q(t) = 0?
-369, -1/4
Factor 1/7*o**2 + 99/7*o + 288/7.
(o + 3)*(o + 96)/7
Let g(i) be the first derivative of -27 + 1/12*i**3 + 15/8*i**2 - 17/2*i. What is h in g(h) = 0?
-17, 2
Let z = -103774 + 103778. Find r such that 1/2*r**5 + 0 - 2*r**2 + 0*r**3 + 3/2*r**z + 0*r = 0.
-2, 0, 1
Suppose 5*p + 4*z = 40, -z = -9*p + 4*p + 15. Factor 438*x**4 + 28*x**3 + x + 8*x**2 - x - 454*x**p.
-4*x**2*(x - 2)*(4*x + 1)
Let n(l) = -l**2 + 5*l - 2. Let y(h) = -18*h + 130. Let q(w) = -5*n(w) + 5*y(w). Factor q(i).
5*(i - 12)*(i - 11)
Let c = -35 - -35. Let r be (-14 + 14 - 6)*1*4/(-16). Solve 3/4*o**2 + c - r*o = 0 for o.
0, 2
Let k(y) be the third derivative of -2*y**5/15 + 61*y**4/6 - 126*y**3 - 582*y**2 - y. Determine g so that k(g) = 0.
7/2, 27
Factor 4*a**3 + 10*a - 58*a + 90 - 28*a - 210.
4*(a - 5)*(a + 2)*(a + 3)
Let l be 1/(-20)*72/(-153). Let m = l - -326/595. Factor -9/7*z + 2/7*z**3 + m*z**4 - 12/7*z**2 + 0 - 1/7*z**5.
-z*(z - 3)**2*(z + 1)**2/7
Let i(z) be the third derivative of -z**8/336 - z**7/105 + z**6/60 + z**5/15 - z**4/24 - z**3/3 - 18*z**2 + 28. Let i(x) = 0. Calculate x.
-2, -1, 1
Suppose -3*v = -6*x + x - 27, 2*v - 23 = 5*x. Suppose 3*u + 6*h - 20 = h, -v*u + 25 = 5*h. Factor -5*n**3 + 10*n**2 + u*n + 0*n**4 - 5*n**4 - 5*n.
-5*n**2*(n - 1)*(n + 2)
Suppose -91*j = 5*q - 88*j - 243, -3*q - 5*j + 181 = 0. What is c in -21/2*c**3 - 108 - 3/2*c**4 + 33*c**2 + q*c = 0?
-9, -2, 2
Let j(n) be the third derivative of n**8/168 + 3*n**7/5 + 61*n**6/20 + 181*n**5/30 + 5*n**4 - 232*n**2. Factor j(k).
2*k*(k + 1)**3*(k + 60)
Let u(j) be the third derivative of j**7/1680 + j**6/160 - 121*j**5/160 + 163*j**4/12 - 100*j**3 - 90*j**2 + j + 3. Suppose u(f) = 0. What is f?
-25, 3, 8
Let j(o) = -3*o - 6. Let s = -49 + 59. Let h(x) = -2*x**2 - 12 - s*x + x**2 - 8 + 3. Let c(p) = 3*h(p) - 8*j(p). Let c(t) = 0. What is t?
-1
Suppose -9*t - 200 + 62 = -60*t + 5*t. Solve -4/3*s**t - 8/3 + 16/3*s**2 + 2/3*s - 8/3*s**4 + 2/3*s**5 = 0 for s.
-1, 1, 4
Let l(j) = -2*j**3 - 7*j**2 + 79*j + 60. Let o be l(-8). Factor 0*n**3 + n**2 - 1/3*n**o + 0 + 2/3*n.
-n*(n - 2)*(n + 1)**2/3
Let s(m) = -1. Let d(n) = -n**2 + 6*n + 23. Let w(a) = 3*d(a) - 12*s(a). Factor w(l).
-3*(l - 9)*(l + 3)
Let q(r) = 5*r**3 + 10450*r**2 + 2724855*r - 2735295. Let j(c) = 8*c**3 + 15675*c**2 + 4087280*c - 4102942. Let h(l) = 5*j(l) - 7*q(l). Factor h(s).
5*(s - 1)*(s + 523)**2
Let o(x) be the third derivative of -x**5/180 + 137*x**4/18 - 547*x**3/18 - x**2 - 7*x + 97. Suppose o(m) = 0. Calculate m.
1, 547
Factor 2552*i - 4/5*i**2 - 2035220.
-4*(i - 1595)**2/5
Let f(m) = -2*m - 3. Let p be f(-3). Let l = -1 + p. Let 4*b**4 + b**4 + 2*b - 2*b**l - 2*b**3 - 6*b**4 + 3*b**4 = 0. What is b?
-1, 0, 1
Determine m, given that 5691938 + 19*m**2 + 12*m**2 - 58*m**2 + 13*m**2 + 16*m**2 - 6748*m = 0.
1687
Let k = 274515/2 + -137255. Factor -k*h**2 + 0*h + 10.
-5*(h - 2)*(h + 2)/2
Let t = 3430471/4 - 857617. Find l such that 15*l + 9 + 3/4*l**5 - 27/4*l**3 - t*l**4 + 3/4*l**2 = 0.
-2, -1, 2, 3
Let f(q) = q**2 + 4*q + 59. Let w(v) = -3*v**2 - 7*v - 120. Let l(t) = -5*f(t) - 2*w(t). Find r such that l(r) = 0.
-5, 11
Let q = -22/3 + 29/3. Suppose -5*i + 5*k - 72 + 112 = 0, -2*k = 10. Suppose 0 + q*a**5 - 3*a**i + 5/3*a**2 - 5/3*a**4 + 2/3*a = 0. Calculate a.
-1, -2/7, 0, 1
Let h(j) be the second derivative of 0 + 6/25*j**5 - 1/10*j**4 + 0*j**2 - 7/75*j**6 - 2/15*j**3 - 109*j. Solve h(s) = 0.
-2/7, 0, 1
Let x(c) be the third derivative of c**5/75 + 487*c**4/30 - 976*c**3/15 - 2*c**2 - 588. What is k in x(k) = 0?
-488, 1
Let l(h) be the first derivative of -7*h**8/160 + 13*h**7/80 - 17*h**6/80 + 9*h**5/80 + 107*h**3/3 + 26. Let p(o) be the third derivative of l(o). Factor p(r).
-3*r*(r - 1)*(7*r - 3)**2/2
Let j(m) = 34 + 10*m - 4*m + 19*m - 9*m**2. Let w(b) = 2*b**2 + 3*b + 5. Let g be w(0). Let d(c) = 10*c**2 - 25*c - 35. Let y(z) = g*j(z) + 4*d(z). Factor y(k).
-5*(k - 6)*(k + 1)
Let m(g) be the first derivative of g**5 - 65*g**4 - 815*g**3/3 - 275*g**2 - 4787. Let m(n) = 0. Calculate n.
-2, -1, 0, 55
Suppose -39*u - 8*u = -14*u - 24*u - 18. Let -28/11*z - 2/11*z**u + 0 = 0. What is z?
-14, 0
Let k(g) be the first derivative of -2*g**3/3 + 121*g**2/2 + 61*g + 3724. Factor k(c).
-(c - 61)*(2*c + 1)
Factor 47041*n**2 - 43*n**3 + 4*n**4 + 5266*n**2 - 752*n - 16967*n**2 - 35344 + 795*n**3.
4*(n - 1)*(n + 1)*(n + 94)**2
Factor 48*s**3 - 42*s**4 - 104*s + 60*s**2 - 3*s**4 + 41*s**4.
-4*s*(s - 13)*(s - 1)*(s + 2)
Let d(m) = -5*m**3 - 67*m**2 - 46*m + 139. Let l(s) = -s**3 - s**2 + 4*s + 5. Let t(q) = d(q) - 3*l(q). Let t(i) = 0. What is i?
-31, -2, 1
Let t(b) be the first derivative of 3*b**5/100 + 7*b**4/20 + 3*b**3/2 + 27*b**2/10 - 93*b + 180. Let h(p) be the first derivative of t(p). Factor h(q).
3*(q + 1)*(q + 3)**2/5
Let w(i) = -239*i - 951. Let r be w(-4). Let m(k) be the third derivative of 29*k**2 + 0*k - 15/4*k**4 - 1/12*k**r + 0 - 135/2*k**3. Factor m(f).
-5*(f + 9)**2
Let r be 0 - -5 - (1 - (-1 + 1)). Let l(o) be the first derivative of 3*o**2 + r*o**3 + 25 - o**3 - 2*o**3. Factor l(t).
3*t*(t + 2)
Factor -189*w**3 - 37561/2*w**2 - 173880*w - 423200 