1/14*a**4. Suppose t(r) = 0. What is r?
-1/3, 8
Let t(l) be the first derivative of l**4/4 - 10*l**3/3 + 19*l**2/2 + 30*l - 1077. Find v such that t(v) = 0.
-1, 5, 6
Let c be (548/(-411))/((-4)/((-4)/(-2))). Let x(j) be the second derivative of -1/3*j**3 + 29*j + c*j**2 + 1/18*j**4 + 0. Determine y so that x(y) = 0.
1, 2
Let j be 2/4 + (-5 - -5) - (-276)/184. Let z(x) be the first derivative of 1/11*x**j + 0*x + 40 - 2/33*x**3. Find r, given that z(r) = 0.
0, 1
Suppose 3*s = 2*z + 8, -4*z = -4*s + 359 - 351. Factor 0 + 0*n - 2*n**s + 2/3*n**5 - 2/3*n**2 + 2*n**3.
2*n**2*(n - 1)**3/3
Let d be -4*(-36)/16*2. Let l(v) be the third derivative of 0*v + 0 + 1/20*v**5 - 3/2*v**4 + d*v**3 - 9*v**2. Find z such that l(z) = 0.
6
Factor -1093*s**3 - 444048 - 32712*s - 1174*s**3 + 663*s**2 + 2264*s**3.
-3*(s - 116)**2*(s + 11)
Let t(z) be the third derivative of 3*z**7/70 - 5*z**6/8 + 29*z**5/20 - 7*z**4/8 + 2*z**2 + 17*z. Suppose t(j) = 0. Calculate j.
0, 1/3, 1, 7
Let n(r) be the first derivative of r**4/18 - 14*r**3/27 + 722. Determine i so that n(i) = 0.
0, 7
Let x(n) be the second derivative of n**6/210 + 3*n**5/140 - n**4/42 - 2*n**3/7 - 4*n**2/7 + 15*n - 12. Factor x(l).
(l - 2)*(l + 1)*(l + 2)**2/7
Let x(n) be the first derivative of n**6/9 + 14*n**5/15 + 5*n**4/2 + 2*n**3 + 564. Solve x(f) = 0 for f.
-3, -1, 0
Let l(p) be the third derivative of p**6/180 - 19*p**5/45 + 125*p**4/16 - 261*p**3/4 + 1677*p**2 - p. Factor l(z).
(z - 29)*(2*z - 9)**2/6
Let i(v) = -v**3 - 6*v**2 + 4*v - 14. Let s be i(-7). Suppose -4*a + 2*y = -14, -7*y = 4*a - 2*y - s. Factor -45*k - a*k**3 - 31*k**2 + k**2 - 30*k.
-3*k*(k + 5)**2
Let b(f) = -4*f**2 + 8. Let h(o) = 3*o**2 - o - 5. Suppose 10 = 5*x + 3*i, -4*i - i = 5*x. Let w(s) = x*b(s) + 8*h(s). Factor w(c).
4*c*(c - 2)
Find m such that 26*m**2 - 1/2*m**4 - 48 + 22*m + 1/2*m**3 = 0.
-6, -2, 1, 8
Let q(v) be the second derivative of v**5/30 + v**4/2 + 8*v**3/9 - 2071*v. Factor q(a).
2*a*(a + 1)*(a + 8)/3
Let s(y) = 12*y**4 + 152*y**3 - 158*y**2 - 152*y + 162. Let b(t) = 17*t**4 + 151*t**3 - 158*t**2 - 151*t + 165. Let a(w) = -4*b(w) + 6*s(w). Factor a(i).
4*(i - 1)**2*(i + 1)*(i + 78)
Let v(r) be the first derivative of -2/5*r**2 + 48/5*r - 2/15*r**3 + 29. Factor v(g).
-2*(g - 4)*(g + 6)/5
Let b(q) be the third derivative of -5*q**6/72 + 77*q**5/180 + 61*q**4/18 - 10*q**3/9 + 60*q**2 + 6. Factor b(x).
-(x - 5)*(x + 2)*(25*x - 2)/3
Let o(g) be the second derivative of -g**4/132 - 32*g**3/33 + 2069*g. Let o(i) = 0. What is i?
-64, 0
Suppose -13*q + 137 = -188. Let a be (30/35)/(5/(q/10)). Solve 6/7*v + 3/7 - a*v**4 + 0*v**2 - 6/7*v**3 = 0.
-1, 1
Suppose -y + 9*y = 0. Suppose 0 = -3*v - y*v + 9. Factor 20 + v*u + 5*u**3 + 10*u**2 - 24*u - 14*u.
5*(u - 1)**2*(u + 4)
Let s(h) = -25*h**3 + 800*h**2 - 158408*h - 8. Let j(a) = 56*a**3 - 1601*a**2 + 316817*a + 18. Let g(l) = 4*j(l) + 9*s(l). Let g(f) = 0. Calculate f.
0, 398
Let h = -141471/32 - -4421. Let q(l) be the first derivative of 3/4*l + h*l**4 + 42 - 7/16*l**2 + 0*l**3. Find w, given that q(w) = 0.
-3, 1, 2
Let b be 16/((-1280)/30) + 2 + 13/(-8). Let g(q) be the second derivative of b + 11/4*q**3 - 1/16*q**4 - 5*q - 363/8*q**2. Factor g(d).
-3*(d - 11)**2/4
Let l(s) be the first derivative of -12*s**3/5 + 28*s**2/5 - 4*s + 812. Let l(c) = 0. Calculate c.
5/9, 1
Let s(g) be the third derivative of -g**5/30 - 83*g**4/12 - 316*g**3/3 - 78*g**2 - g + 1. Factor s(r).
-2*(r + 4)*(r + 79)
Factor 3/2*x**3 + 1557/2*x - 162*x**2 - 618.
3*(x - 103)*(x - 4)*(x - 1)/2
Let c(m) be the second derivative of m**7/6 - 5*m**6/8 + m**5/6 - 8*m**2 + 75*m - 2. Let v(k) be the first derivative of c(k). Factor v(j).
5*j**2*(j - 2)*(7*j - 1)
Let l(r) be the first derivative of -4/3*r**3 + 12*r - 4*r**2 - 37. Factor l(f).
-4*(f - 1)*(f + 3)
Let f = 21701 - 21696. Factor 10/3*r**4 + 0*r + 0 - 2/3*r**f + 8/3*r**2 - 16/3*r**3.
-2*r**2*(r - 2)**2*(r - 1)/3
Let u(k) be the first derivative of k**9/1512 + k**8/420 - k**7/420 - k**6/90 + 91*k**3/3 - 50. Let p(w) be the third derivative of u(w). Solve p(v) = 0.
-2, -1, 0, 1
Suppose -h = -p - 10, 5*p = 9*h - 5*h - 35. Factor 61*i**2 - h*i**4 + 18*i + 4*i**5 - 38*i**4 + 13*i**4 + 47*i**3 - 18*i**3.
i*(i - 9)*(i - 2)*(2*i + 1)**2
Let g = 1548 - 1545. Let w(z) be the second derivative of 0 + 1/21*z**g - 1/84*z**4 - 1/14*z**2 - 8*z. Solve w(n) = 0.
1
Let q(y) be the third derivative of 0*y + 0*y**3 + 1/12*y**5 + 0 - 158*y**2 - 35/6*y**4. Let q(a) = 0. What is a?
0, 28
Suppose 1/11*l**2 - 46/11*l - 312/11 = 0. What is l?
-6, 52
Let 18/5*g**4 + 246/5*g**3 + 698/5*g**2 + 12 + 386/5*g = 0. Calculate g.
-10, -3, -1/3
Let h(t) be the first derivative of -8*t**5/5 - 51*t**4/2 - 358*t**3/3 - 96*t**2 + 72*t - 591. Solve h(q) = 0.
-6, -1, 1/4
Let k = 313527 + -313524. Suppose -38/3*w**2 - 1/3*w**5 - 7/3 + 22/3*w**k - w**4 + 9*w = 0. Calculate w.
-7, 1
Let z(l) be the second derivative of l**5/330 - 9*l**4/44 - 28*l**3/33 - 97*l**2/2 - 53*l - 1. Let f(b) be the first derivative of z(b). Factor f(a).
2*(a - 28)*(a + 1)/11
Let d(k) = -2*k**3 - 4*k**2 + k - 1. Let t(p) = 9*p**3 + 42*p**2 - 51*p - 477. Let q(m) = 3*d(m) + t(m). Find j, given that q(j) = 0.
-10, -4, 4
Let r = -7 + 11. Let k be (-4)/14*(r - 11). Factor 8*h**4 - 6*h**k - 5*h**4 - 6*h**3 - 2*h - 5*h**4.
-2*h*(h + 1)**3
Suppose 17*y + 4 = 21*y, 3*o - 5509 = 5*y. Let u = o - 1838. What is m in u*m + 0 + 2/9*m**2 + 2/9*m**3 = 0?
-1, 0
Let f(w) be the second derivative of -w**7/1680 + w**6/216 - w**5/80 + w**4/72 - 65*w**3/6 + 17*w. Let d(x) be the second derivative of f(x). Factor d(k).
-(k - 2)*(k - 1)*(3*k - 1)/6
Let a(l) be the second derivative of -l**4/30 - 71*l**3/15 + 72*l**2/5 - 1430*l + 1. Factor a(t).
-2*(t - 1)*(t + 72)/5
Let c(v) = -21*v**3 - 21*v**2 + 24*v - 72. Let r(j) = -j**3 - 2*j**2 + j. Let x(z) = c(z) - 18*r(z). Let x(m) = 0. What is m?
-2, 3, 4
Let p(r) be the third derivative of -7/9*r**3 - 4/9*r**4 - 2/45*r**5 + 0*r + r**2 - 60. Suppose p(l) = 0. What is l?
-7/2, -1/2
Let c(y) be the second derivative of -46*y + 0 + 0*y**2 + 1/5*y**5 - 10/3*y**3 + 4/3*y**4. Factor c(z).
4*z*(z - 1)*(z + 5)
Let x(p) be the second derivative of -16*p**6/135 - 4*p**5 + 61*p**4/18 - 23*p**3/27 + 1000*p. Factor x(k).
-2*k*(k + 23)*(4*k - 1)**2/9
Let t(m) = 18*m - 99. Let n be t(6). Factor 5*b + 10*b**3 + b - 3*b**4 + 9*b**2 - b**3 - n*b**3.
-3*b*(b - 2)*(b + 1)**2
Let w be ((-231)/55 - -5)*(52/(-8))/13*-5. Solve 37/3*z**4 - 13/3*z**w - z**5 + 0*z + 9*z**3 + 0 = 0.
-1, 0, 1/3, 13
Let s(f) = -55*f**2 + 244*f - 237. Let z(h) = 110*h**2 - 476*h + 473. Let w(v) = 7*s(v) + 3*z(v). Factor w(u).
-5*(u - 4)*(11*u - 12)
Find l such that -190 - 97/2*l - 1/4*l**2 = 0.
-190, -4
Let x = -2961 + 2964. Let w(j) be the third derivative of 0*j - 10*j**2 - 1/270*j**5 + 1/27*j**4 - 1/9*j**x + 0. Factor w(z).
-2*(z - 3)*(z - 1)/9
Let x(r) be the first derivative of 3*r**5/5 + 21*r**4/4 - 40*r**3 - 150*r**2 - 1464. Factor x(l).
3*l*(l - 5)*(l + 2)*(l + 10)
Let p = -1244582/7 - -178232. Factor -156/7*h + p + 2/7*h**2.
2*(h - 39)**2/7
Let m(z) be the second derivative of 2*z**7/21 + 4*z**6/5 + 2*z**5/5 - 20*z**4/3 - 18*z**3 - 20*z**2 - 803*z. Determine n so that m(n) = 0.
-5, -1, 2
Let u = -341/295 + 80/59. Let g be (-10)/(-4)*24/15. Solve 0 - 4/5*b**5 + 1/5*b**g + 4/5*b**3 + 0*b - u*b**2 = 0.
-1, 0, 1/4, 1
Let a = 215 - 212. Suppose -3*l + 6 = a*v, 0 = 15*v - 13*v - 4. Factor 2/13*j**2 + l + 10/13*j.
2*j*(j + 5)/13
Let l be ((-6)/(-10))/(1422/6320) + 64. Factor -40/3*s - l - 2/3*s**2.
-2*(s + 10)**2/3
Let i(u) be the second derivative of 0 + 3/10*u**6 - 245*u - 3*u**4 + 0*u**2 - 8*u**3 - 1/14*u**7 + 6/5*u**5. Solve i(t) = 0.
-2, -1, 0, 2, 4
Let b(f) be the second derivative of 0*f**2 - 9*f - 7/72*f**6 + 47/24*f**5 + 19/3*f**3 + 35/12*f**4 + 0. Let g(i) be the second derivative of b(i). Factor g(v).
-5*(v - 7)*(7*v + 2)
Let q(g) be the second derivative of 9/16*g**4 - 15/8*g**3 - 75/8*g**2 + 156*g - 3/80*g**5 + 0. What is t in q(t) = 0?
-1, 5
Let p be ((-28640)/56 - -5) + -10. Let u = -516 - p. Determine c so that u*c**3 - 45/7*c**2 - 375/7 + 225/7*c = 0.
5
Suppose -5*q = -4*n - 709, 11*q - 138 = 10*q - 3*n. Factor 140*o - 2*o**2 + 0*o**2 - o**3 - q*o.
-o*(o + 1)**2
Suppose -193*a + 565 = -400. Let d(f) be the second derivative 