/2*p**2 = 0.
-237, 2
Let i = -813 - -792. Let a be -69*i/(-171) - -9. Let a*w**3 - 2/19*w**4 + 0 + 0*w - 8/19*w**2 = 0. Calculate w.
0, 1, 4
Factor 3/5*o**4 + 408/5*o**3 + 16752/5*o**2 + 138240 + 39168*o.
3*(o + 8)**2*(o + 60)**2/5
Find h such that 565/2*h**2 - 30 - 505/2*h = 0.
-12/113, 1
Suppose 4*v - 23*u - 1 = -20*u, 4*v + 2*u - 26 = 0. Let x(f) be the second derivative of 0 + 0*f**2 - 5/48*f**v + 15*f + 5/12*f**3. Factor x(y).
-5*y*(y - 2)/4
Let v(n) be the second derivative of 16428*n**4/5 - 148*n**3/5 + n**2/10 - 2147*n. Suppose v(t) = 0. What is t?
1/444
Let q be ((-68)/8 + 4)/(9/(-24)). Let g(l) = 14*l**4 + 6*l**2 + 8*l + 12. Let j(o) = o**4 + o**2 + o + 1. Let h(d) = q*j(d) - g(d). Suppose h(f) = 0. What is f?
-1, 0, 2
Let x(k) = 11*k**3 - 159*k**2 + 1407*k - 3403. Let j(m) = 124*m**3 - 1750*m**2 + 15476*m - 37434. Let d(t) = 6*j(t) - 68*x(t). Determine b, given that d(b) = 0.
5, 68
Let p(h) = h**3 + 18*h**2 - 18*h + 22. Let j be p(-19). Suppose m + 5 = j*g, 0*g = g + 3*m - 5. Factor 3*n**g + n**3 - 5*n + 1085 - 1088 + n + 3*n.
(n - 1)*(n + 1)*(n + 3)
Let -144 + 4/5*v**2 + 164/5*v = 0. What is v?
-45, 4
Let v be (5/(-4))/(9/8568). Let o = v - -13091/11. Factor o*u - 1/11*u**2 + 1/11 - 1/11*u**3.
-(u - 1)*(u + 1)**2/11
Let n(k) be the first derivative of -k**4/10 - 4*k**3/5 + 5*k**2 - 36*k/5 + 130. Determine c, given that n(c) = 0.
-9, 1, 2
Let o(z) be the second derivative of 0*z**2 + 1/15*z**6 + 86*z - 12*z**3 - 13/10*z**5 + 0 + 8*z**4. Factor o(u).
2*u*(u - 6)**2*(u - 1)
Let 1/6*u**4 - 1/2*u**2 + 23/6*u**3 - 23/3 - 71/6*u = 0. What is u?
-23, -1, 2
Factor 2/7*q**2 + 656/7*q + 654/7.
2*(q + 1)*(q + 327)/7
Let k(s) be the second derivative of s**4/12 - 7*s**3/6 - 9*s**2 + 2*s - 260. Factor k(d).
(d - 9)*(d + 2)
Let a(l) = -16*l**2 - 542*l + 1679. Let n(h) = -5*h**2 - 181*h + 560. Let x(t) = -12*a(t) + 39*n(t). Suppose x(w) = 0. Calculate w.
-188, 3
Let q(v) be the first derivative of -5*v**3/3 + 50*v**2 - 95*v - 811. Let q(b) = 0. What is b?
1, 19
Let s = -6028/9 + 12065/18. Determine h so that -3 - s*h**3 - 3*h**2 - 11/2*h = 0.
-3, -2, -1
Let l(k) be the first derivative of -k**3/2 + 1401*k**2/4 - 6279. Solve l(x) = 0.
0, 467
Suppose -26*j + 93 = -37. Suppose 4*t - 2 = 3*n + 3, 0 = -j*n - t + 30. What is c in -188/5*c**4 + 174/5*c**3 + 0 + 8/5*c + 14*c**n - 64/5*c**2 = 0?
0, 2/7, 2/5, 1
Let r be 5/(5/(-28)) - (706 - 737). Let x = 315 - 615/2. Find l such that -3*l**2 - r - 6*l**3 + x*l - 3/2*l**5 + 6*l**4 = 0.
-1, 1, 2
Let i = 410507 + -410492. Suppose 9/2*b**2 + i*b + 1/4*b**3 + 14 = 0. Calculate b.
-14, -2
Let l(m) = 3*m**5 + 11*m**4 + m**3 - 11*m**2 + 16*m + 20. Let c(f) = -2*f**5 - 10*f**4 + f**3 + 13*f**2 - 16*f - 20. Let w(s) = 4*c(s) + 3*l(s). Factor w(d).
(d - 5)*(d - 2)**2*(d + 1)**2
Let j be 6/(-40) - -12*(-20)/(-960). Let z(u) be the first derivative of 0*u - j*u**4 - 16 - 2/25*u**5 + 1/5*u**2 + 2/15*u**3. Determine g, given that z(g) = 0.
-1, 0, 1
Let h = 271/435 + 1817/435. Find g such that 2/5*g**3 - 16/5*g - h + 2/5*g**2 = 0.
-2, 3
Let u(m) = -672*m**3 + 6720*m**2 - 16665*m - 147. Let a(g) = -g**3 + 12*g**2 + 1. Let j(s) = 3*a(s) - u(s). Factor j(p).
3*(p - 5)**2*(223*p + 2)
Determine v, given that 4/9*v**2 + 440/9*v - 148/3 = 0.
-111, 1
Let q(j) be the second derivative of j**6/225 - j**5/150 - 19*j**4/90 + 49*j**3/45 - 2*j**2 - 539*j. Let q(i) = 0. Calculate i.
-5, 1, 2, 3
Let w(g) be the third derivative of -g**6/180 + g**5/45 + 13*g**4/36 + 10*g**3/9 - 6*g**2 - 14*g. Factor w(j).
-2*(j - 5)*(j + 1)*(j + 2)/3
Factor 452*h - 23 - 2970*h**2 + 4*h**3 + 247 + 3202*h**2.
4*(h + 1)**2*(h + 56)
Let m be 67753/63 + (-1)/((-3)/12). Let z = m + -1079. Determine s so that -4/9*s**4 + 0 - 2/9*s**2 - z*s + 10/9*s**3 = 0.
-1/2, 0, 1, 2
Let l be (-9)/(36/(-16)) - 0. Let z(g) = g**2 - 2*g + 5. Let y be z(-3). Factor 16*q**4 - l*q**2 - 4*q + 24*q**3 - y*q**3 - 12*q**4.
4*q*(q - 1)*(q + 1)**2
Let d(p) be the third derivative of -p**8/784 + p**7/70 + p**6/8 - 47*p**5/140 - 17*p**4/28 + 20*p**3/7 - 861*p**2. Solve d(l) = 0.
-4, -1, 1, 10
Suppose -25788 = 11*r - 25832. Let w(z) be the third derivative of -1/8*z**r - 19*z**2 + 0 + 1/40*z**6 + 1/70*z**7 + 0*z - 1/20*z**5 + 0*z**3. Factor w(j).
3*j*(j - 1)*(j + 1)**2
Let n(v) be the second derivative of -v**5/300 - v**4/15 - v**3/2 + 148*v**2 + 322*v. Let s(g) be the first derivative of n(g). Find l such that s(l) = 0.
-5, -3
Let w(h) = -2 + 4 - 214*h**3 - h**2 + 213*h**3. Let m(u) = -4*u**3 + 37*u**2 - 400*u + 6. Let p(f) = -m(f) + 3*w(f). Factor p(n).
n*(n - 20)**2
Suppose -2*i = -2*q - 30, -26 = 5*i - 3*q - 91. Suppose 7*n + i = 45. Let -2/9*t**n - 14/9*t**2 - 4/9*t + 0 - 2*t**3 - 10/9*t**4 = 0. Calculate t.
-2, -1, 0
Let c(r) be the third derivative of -r**6/360 + 5*r**5/36 - r**4/3 - 1507*r**2. Let c(b) = 0. What is b?
0, 1, 24
Let j = 173 - 171. Factor 1568*s + 2*s**4 + s**4 - 5*s**4 + 48*s**3 - 591*s**j - 2058 + 171*s**2.
-2*(s - 7)**3*(s - 3)
Let q(z) = -3*z**2 + 202*z + 136. Let l be q(68). Let r(y) be the second derivative of l - 11*y**3 + 12*y**2 + y + 5/4*y**4. Factor r(u).
3*(u - 4)*(5*u - 2)
Let w(v) = -73*v**3 + 363*v**2 + 9*v + 7. Let a be w(5). Let 8/9 - 2/9*k**4 + 2/3*k**a + 16/9*k - 4/9*k**3 = 0. Calculate k.
-2, -1, 2
Let h(m) be the second derivative of -289*m**6/18 + 255*m**5/4 - 280*m**4/3 + 490*m**3/9 + 787*m. Solve h(i) = 0 for i.
0, 14/17, 1
Let p(v) be the third derivative of -v**5/480 - 7*v**4/24 + 29*v**3/12 + 15*v**2 - 47. Factor p(c).
-(c - 2)*(c + 58)/8
Suppose -3*z + 6 = 0, -513 = -j + 5*z - 520. Let w(i) be the third derivative of 0*i + 1/6*i**5 + 19*i**2 + 0*i**j - 5/24*i**4 - 1/24*i**6 + 0. Solve w(q) = 0.
0, 1
Let o(b) = 2*b**2 - 9*b + 2. Let u(i) = i**2 - 8*i + 1. Let z be 8*1*9/(-18). Let g(j) = z*u(j) + 3*o(j). Let g(d) = 0. What is d?
-2, -1/2
Suppose -315*q + 2580 = 1950. Determine b so that 15/2*b**3 + 25*b**q + 5/4*b**5 - 15/2*b**4 - 195/4*b + 45/2 = 0.
-2, 1, 3
Let v(i) be the third derivative of -i**7/630 + i**6/5 + 5*i**5/12 - 73*i**4/36 - 207*i**2. Suppose v(d) = 0. What is d?
-2, 0, 1, 73
Factor 1/4*s**2 - 115*s + 13225.
(s - 230)**2/4
Factor 562/7 - 80*i - 2/7*i**2.
-2*(i - 1)*(i + 281)/7
Let 6/5*k**2 - 708/5 + 702/5*k = 0. What is k?
-118, 1
Let d(y) be the third derivative of 2*y**7/105 - 11*y**6/30 + 34*y**5/15 - 4*y**4 - 516*y**2. Factor d(z).
4*z*(z - 6)*(z - 4)*(z - 1)
Let p(w) be the second derivative of 10*w**7/27 - 127*w**6/135 - 2*w**5/3 + 121*w**4/27 - 146*w**3/27 + 7*w**2/3 - 6*w - 89. Suppose p(y) = 0. Calculate y.
-7/5, 3/14, 1
Let i(q) be the first derivative of q**4/8 - 16*q**3/3 + 84*q**2 - 576*q - 712. Factor i(l).
(l - 12)**2*(l - 8)/2
Let b(p) be the third derivative of -p**6/780 + 7*p**5/130 - 33*p**4/52 + 45*p**3/13 + 103*p**2 - 12. Factor b(f).
-2*(f - 15)*(f - 3)**2/13
Let p(b) be the first derivative of 2*b**5/65 - 11*b**4/26 + 44*b**3/39 + 60*b**2/13 - 144*b/13 + 1171. Let p(j) = 0. Calculate j.
-2, 1, 6
Let q(x) be the second derivative of -x**4/18 + 3100*x**3/9 - 2402500*x**2/3 + 5610*x. Factor q(r).
-2*(r - 1550)**2/3
Determine p, given that -19492*p**2 - 64*p**4 + 5185*p**3 + 1429*p**3 - 4278*p**3 - 33288*p - 12996 = 0.
-3/4, 19
Let l(d) be the first derivative of -d**4 + 120*d**3 - 4050*d**2 + 591. Solve l(c) = 0 for c.
0, 45
Let a(u) be the third derivative of 5*u**6/228 - 299*u**5/114 + 296*u**4/57 - 236*u**3/57 - 79*u**2 + 2. Find i, given that a(i) = 0.
2/5, 59
Let j = -36 - -38. Suppose -16 = -j*w + 5*p, 2*p - p = 5*w - 17. Factor -24*l**w - 11*l**2 + l**2 + 29*l**3.
5*l**2*(l - 2)
Let 19/3*a**2 - 7/6 - 31/6*a**4 - 10/3*a + 2/3*a**5 + 8/3*a**3 = 0. Calculate a.
-1, -1/4, 1, 7
Let w(p) = 4*p**2 - 52*p. Suppose -4*a + 3*a = 5*h - 24, 4*a = -2*h + 6. Let d(k) = 3*k**2 - 35*k. Let g(f) = h*w(f) - 8*d(f). Determine x so that g(x) = 0.
0, 5
Let p(n) be the first derivative of 1/4*n**4 - 17*n - 1/2*n**2 + 17/3*n**3 + 15. Factor p(d).
(d - 1)*(d + 1)*(d + 17)
Let c(z) be the second derivative of -25*z + 0*z**2 + 7/6*z**3 - 1/20*z**5 + 0 - 1/2*z**4. Let c(a) = 0. What is a?
-7, 0, 1
Let s(w) be the third derivative of -4*w**4 + 1/10*w**6 + 0*w - 1/14*w**7 - 30 + 1/112*w**8 + 4/5*w**5 + 8*w**3 - w**2. Find p, given that s(p) = 0.
-2, 1, 2
Let w = -23807/69 + 683321/2070. Let c = -147/10 - w. Find g, given tha