2/15*m**3 - 1/150*m**6 + 0. Solve u(c) = 0.
-1, 1, 5
Let u(w) be the second derivative of w**6/540 + 2*w**5/45 + w**4/3 - 24*w**2 - w + 3. Let o(q) be the first derivative of u(q). Find l such that o(l) = 0.
-6, 0
Factor 4/5*w**2 + 28*w - 456/5.
4*(w - 3)*(w + 38)/5
Let s(i) be the first derivative of -5*i**4 + 0*i - 2/3*i**6 - 20/3*i**3 + 4*i**5 + 12*i**2 + 124. Determine l, given that s(l) = 0.
-1, 0, 1, 2, 3
Let y(i) be the second derivative of 0 - 8/11*i**2 - 2/11*i**3 + 3/55*i**5 + 7/66*i**4 + 85*i + 1/165*i**6. Solve y(g) = 0.
-4, -2, -1, 1
Let l(h) be the first derivative of 5*h**4/4 + 3205*h**3/3 - 6425*h**2/2 + 3215*h - 2531. Factor l(w).
5*(w - 1)**2*(w + 643)
Let r(y) = -3*y**4 - 33*y**3 - 93*y**2 + 285*y + 892. Let w(h) = -3*h**2 - 1. Let z(a) = -r(a) + 8*w(a). Suppose z(g) = 0. What is g?
-5, -4, 3
Factor -1/5*z**2 - 1/5*z**3 + 2*z - 8/5.
-(z - 2)*(z - 1)*(z + 4)/5
Let k be -3 - 27*(-112)/960. Let i(l) be the second derivative of -3/25*l**5 + 0*l**2 + 6*l + 1/10*l**3 + 0 - k*l**4. Factor i(q).
-3*q*(q + 1)*(4*q - 1)/5
Let q(x) be the second derivative of -x**5/20 + 35*x**4/12 + 416*x**3/3 - 14848*x**2 + 4*x - 817. Factor q(s).
-(s - 32)**2*(s + 29)
Let y(m) = m**2 + 32*m - 40. Let j(l) = 2*l**2 + 96*l - 96. Let r(d) = 5*j(d) - 14*y(d). Determine p so that r(p) = 0.
-2, 10
Suppose -15 = 5*y - 10*y. Factor 9*v**3 - 9*v**y + 22*v - 2*v**3 - 8*v**2 - 12.
-2*(v - 1)**2*(v + 6)
Let a(n) be the third derivative of n**5/72 + 5*n**4/8 + 85*n**3/36 + 690*n**2. Solve a(t) = 0.
-17, -1
Let n = 3510 - 2340. Let y = 1413 - n. Find r, given that -825*r**3 - y*r - 675*r**2 - 162/5 - 375*r**4 = 0.
-3/5, -2/5
Let q = 1307/5 + -35194/135. Let z = q - 79/189. Determine g, given that z + 2/7*g**2 - 4/7*g = 0.
1
Let i(f) = f**2 + 25*f + 156. Let o be i(-12). Let v(w) be the second derivative of 1/14*w**3 - 8*w - 1/28*w**4 + 0 + o*w**2. Let v(r) = 0. Calculate r.
0, 1
Suppose u + 3*u = -11*u. Factor -12*s + 6*s + 6*s**3 - 48*s + u*s**3 - 20*s**2 + 20.
2*(s - 5)*(s + 2)*(3*s - 1)
Let h(w) = -2*w**3 + 52*w**2 - 118*w + 113. Let n(i) = 9*i**3 - 217*i**2 + 474*i - 451. Let q(x) = 26*h(x) + 6*n(x). Factor q(t).
2*(t - 2)**2*(t + 29)
Let g(c) be the second derivative of c**9/83160 + c**8/18480 + c**7/13860 + c**4/2 + 19*c**2/2 - c - 37. Let l(d) be the third derivative of g(d). Factor l(w).
2*w**2*(w + 1)**2/11
Let a(j) be the first derivative of 7*j**6/18 + 26*j**5/15 - 7*j**4/4 - 64*j**3/9 + 26*j**2/3 - 4032. Let a(y) = 0. Calculate y.
-26/7, -2, 0, 1
Let f(s) = 9*s**3 + s**2 + s + 1. Let q(d) = 44*d**3 - 63*d**2 + 440*d - 661. Let w(a) = -5*f(a) + q(a). Factor w(x).
-(x - 3)**2*(x + 74)
Suppose -5*w + 5*p + 34 = -3*w, 5*p = -20. Find g, given that 15 - 10*g**4 - 5*g**3 - 15 + 16*g**2 - 2*g**5 + w*g**3 - 6*g**2 = 0.
-5, -1, 0, 1
Let i be (-2)/(-6 + 14/((-728)/(-169))). Factor -232/11*b - i - 1682/11*b**2.
-2*(29*b + 2)**2/11
Find x, given that -16/11*x + 8/11 - 2/11*x**4 + 4/11*x**3 + 6/11*x**2 = 0.
-2, 1, 2
Let k be (-581 + -8 + -6)/((-6)/21). Let u = k + -2078. Let 39/2*p**2 + 9/2 - u*p**3 - 39/2*p = 0. Calculate p.
1/3, 1, 3
Let s(l) = 4*l**3 - 163*l**2 + 895*l + 1044. Let k(w) = -12*w**3 + 494*w**2 - 2686*w - 3132. Let t(i) = 3*k(i) + 10*s(i). Factor t(z).
4*(z - 29)*(z - 9)*(z + 1)
Let c(u) be the third derivative of 0 + 0*u**4 + 1/1008*u**8 - 1/180*u**6 + 1/630*u**7 + 0*u**5 + 0*u**3 - 31*u - 3*u**2. Determine x so that c(x) = 0.
-2, 0, 1
Let d(a) be the third derivative of a**7/42 + 3*a**6/4 - a**5/4 - 65*a**4/6 + 30*a**3 + 837*a**2. Determine n so that d(n) = 0.
-18, -2, 1
Let y(c) be the third derivative of c**8/1680 - c**7/315 - 125*c**4/24 + c**3/3 - 25*c**2 - 7*c. Let f(w) be the second derivative of y(w). Factor f(g).
4*g**2*(g - 2)
Let 225 + 15*l**3 - 10*l**3 - 263*l**2 - 334*l + 10*l**4 - 6*l**2 + 34*l**2 + 329*l = 0. What is l?
-5, -1, 1, 9/2
Suppose -4/3*b**4 + 0*b**3 + 104/3*b**2 + 0*b - 100/3 = 0. What is b?
-5, -1, 1, 5
Let h(u) be the first derivative of -u**6/8 - 7*u**5/20 + 19*u**4/16 - 5*u**3/12 - u**2/2 + 2677. Solve h(l) = 0.
-4, -1/3, 0, 1
Let x = -179 - -181. Factor -4*f**3 + 14*f**x + 4*f - f**2 + 16*f + 3*f**2.
-4*f*(f - 5)*(f + 1)
Let u(q) = 3*q**2 + 2*q + 2. Let o be u(-1). Suppose 5 = o*b + a - 1, 0 = 2*b + a - 3. Factor -6 - k**4 - b*k**4 - 4*k**3 - k**5 + 2*k**2 + 3*k + 8 + 2*k.
-(k - 1)*(k + 1)**3*(k + 2)
Let t = 2781990/6491359 + 3/927337. Find k, given that t*k**2 + 19/7*k - 1/7*k**4 - 2 - k**3 = 0.
-7, -2, 1
Let m(x) be the first derivative of 38*x**3/9 + 67*x**2/3 - 11567. Solve m(l) = 0.
-67/19, 0
Let b be 5/(-2)*(5 - 222/30). Solve -12*k**4 + 9*k**3 - b*k - 33*k - 60*k**3 - 8 + 2 - 72*k**2 = 0 for k.
-2, -1, -1/4
Suppose -t = -0*t - 4. Factor -62*s**2 + 173*s**2 + 324*s + t*s**4 + 141*s**2 - 68*s**3.
4*s*(s - 9)**2*(s + 1)
Let o = -227/105 - -99/35. Let b(y) be the first derivative of -o*y**3 - 3 - 2*y - 2*y**2. Solve b(n) = 0.
-1
Factor -47*y + 65 + 3*y**2 - 19*y + 21*y**2 - 33*y**2 + 10*y**2.
(y - 65)*(y - 1)
Let u(w) = -12*w**2 - 78*w - 126. Let i(j) = 3*j**2 + 20*j + 32. Let p(h) = -9*i(h) - 2*u(h). Let p(r) = 0. Calculate r.
-6, -2
Find s, given that 99*s**2 + 4*s**3 - 3645*s - s**3 + 3645*s = 0.
-33, 0
Suppose -18 = -2*k - 4*i, -2*i + 0*i = -2*k + 12. Suppose -109 = -k*j + 38. Find b, given that 2*b - j*b + 7*b + 2*b**2 - 14 = 0.
-1, 7
Let p be -1*4/1*(-10 + (-147)/(-15)). Suppose 1/5*v**2 + 3/5 - p*v = 0. Calculate v.
1, 3
Factor 538*v**3 - 247*v**3 - 266*v**3 - 40*v**2 - 5*v**4 + 20*v.
-5*v*(v - 2)**2*(v - 1)
Let r(n) = 5*n**2 + 1550*n + 302651. Let g(z) = -14*z**2 - 4652*z - 907950. Let q(p) = -3*g(p) - 8*r(p). Let q(h) = 0. What is h?
-389
Let r(b) be the first derivative of -b**4/16 + 87*b**3/4 - 1539*b**2/8 + 2295*b/4 + 1799. Find i such that r(i) = 0.
3, 255
Let u be (-252)/(-14 + 0) - 16. Let w(k) be the third derivative of 7/240*k**6 + 0*k**3 + 0 + 0*k + 30*k**u - 1/24*k**5 - 1/24*k**4. Find q such that w(q) = 0.
-2/7, 0, 1
Let a(n) be the second derivative of -n**7/7560 + n**6/540 - n**5/90 - 5*n**4 - 2*n - 61. Let k(r) be the third derivative of a(r). Factor k(l).
-(l - 2)**2/3
Suppose -149*x = -164*x + 51510. Let -3491*l - 453011 + 141542 - 423*l**2 - 2*l**3 - 12956*l - l**3 - x*l = 0. Calculate l.
-47
Suppose 11 - 219 = -13*f. Let f*c**2 - 7*c + 5*c - 15*c**2 - c**3 + 2*c**3 = 0. What is c?
-2, 0, 1
Suppose 25*x = 29*x - 8. Factor 5*u**x - 21*u**2 + 11*u**2 + 15*u.
-5*u*(u - 3)
Let m(s) = -7*s**5 - 35*s**4 - 8*s**3 - 2. Suppose 3*h + 3 = -5*k + 2*k, 2*k = 2*h - 18. Let d(z) = z**4 + z**3 - 1. Let c(t) = k*m(t) + 10*d(t). Factor c(x).
5*x**3*(x + 5)*(7*x + 2)
Let o(g) be the first derivative of -685*g**4 - 8240*g**3/3 - 6225*g**2/2 - 45*g - 1409. Suppose o(h) = 0. Calculate h.
-3/2, -1/137
Solve 2/5*p**2 + 32/5 - 34/5*p = 0 for p.
1, 16
Suppose 61*j - 84*j + 46 = 0. Let a(x) be the first derivative of 1/4*x**3 + 9/4*x - 4 - 3/2*x**j. Suppose a(m) = 0. Calculate m.
1, 3
Let w(t) = 30*t**2 - 70*t - 668. Let h(s) = 52*s**2 - 142*s - 1338. Let n(f) = -4*h(f) + 7*w(f). Determine c so that n(c) = 0.
-26, -13
Let r(l) = l**3 - 13*l**2 - 13*l - 11. Let f be r(14). Let q be 0/1 + -4 + 6. Factor 3 + 4*y**2 + 12*y**3 + 5*y**q - y**3 - 8*y**f + 9*y.
3*(y + 1)**3
Let q(o) be the first derivative of -o**4/36 - 5*o**3/9 - 25*o**2/6 - 21*o + 2. Let t(v) be the first derivative of q(v). Find f such that t(f) = 0.
-5
Let g(q) be the third derivative of -172*q**2 - 14/135*q**5 + 0*q**3 + 0 - 1/270*q**6 + 0*q + 16/27*q**4. Factor g(j).
-4*j*(j - 2)*(j + 16)/9
Let d(w) be the first derivative of -2*w**3/15 - 81*w**2/5 + 504*w/5 - 4328. Let d(g) = 0. Calculate g.
-84, 3
Let q(z) = -z**3 + 43*z**2 - 10. Let j be q(43). Let i be 4/(-8*j/40). Factor 3/2*v**3 + 4*v + 11/2*v**2 - i.
(v + 2)**2*(3*v - 1)/2
Let x(z) be the third derivative of -40*z**2 + 0*z + 0*z**3 + 0 + 1/10*z**5 + 0*z**4 + 1/504*z**8 + 1/45*z**7 - 17/180*z**6. Suppose x(n) = 0. Calculate n.
-9, 0, 1
Let c(r) be the third derivative of 2*r**7/35 + 8*r**6/15 - 4*r**5/5 + 3*r**2 - 59. Suppose c(u) = 0. What is u?
-6, 0, 2/3
Let j(w) be the first derivative of -58 + 2/15*w**3 - 3/5*w**2 + 4/5*w. Factor j(n).
2*(n - 2)*(n - 1)/5
Let m(q) be the first derivative of -2*q**5/45 + 19*q**4/18 - 34*q**3/9 + 49*q**2/9 - 32*q/9 - 125. Let m(a) = 0. Calculate a.
1, 