or x + 188 - 132*d + 4*d**2 - 95.
4*(d - 32)*(d - 1)
Let o(w) be the first derivative of -w**7/630 - w**6/270 + w**5/45 - 167*w**3/3 + 138. Let i(k) be the third derivative of o(k). Suppose i(h) = 0. What is h?
-2, 0, 1
Let x be 654/8 + (-4)/32*-2. Factor -14 - 20*n**2 - 98*n + 2*n + 8*n - x.
-4*(n + 2)*(5*n + 12)
Let s(g) be the third derivative of -g**10/136080 + g**9/22680 - g**7/2835 + g**4/12 + g**3 + 100*g**2. Let v(x) be the second derivative of s(x). Factor v(w).
-2*w**2*(w - 2)**2*(w + 1)/9
Let i(m) be the third derivative of 1/1050*m**7 + 0*m**4 + 0*m**6 + 0*m + 0*m**5 - 18*m**2 + 0*m**3 + 2. Find h such that i(h) = 0.
0
Let w(s) be the third derivative of 5*s**8/48 + 5*s**7/14 - 25*s**6/24 - 5*s**5/4 + 15*s**4/4 - 2*s**2 - 123*s + 2. Find t, given that w(t) = 0.
-3, -1, 0, 6/7, 1
Let k(n) be the third derivative of 1/210*n**7 + 0*n + 3*n**3 - 2 + 58*n**2 - 7/60*n**5 - 1/40*n**6 + 5/8*n**4. Find w such that k(w) = 0.
-2, -1, 3
Let v(o) be the first derivative of -o**4/4 - 9*o**3 + 2*o**2 + 108*o + 434. Factor v(t).
-(t - 2)*(t + 2)*(t + 27)
What is z in 53*z**4 - 9*z**3 - 6*z**5 + 15*z + 60*z**4 + 33*z**2 - 146*z**4 = 0?
-5, -1, -1/2, 0, 1
Let p be 3/(-6) - 14/(-4). Factor -1425 + 1425 + p*j + 2*j**2 - j.
2*j*(j + 1)
Determine f, given that -471/5*f - 3/5*f**3 + 48*f**2 + 234/5 = 0.
1, 78
Solve -1/4*b**3 + 0 + 0*b + 65/4*b**2 = 0.
0, 65
Let n(h) = 9*h**2 + 5*h - 11. Let m be n(1). Let p(q) be the first derivative of -m*q - 5/3*q**2 - 1/9*q**3 + 27. Let p(w) = 0. Calculate w.
-9, -1
Let y(l) be the second derivative of -l**6/20 + 33*l**4/8 - 7*l**3 - 45*l**2 - 5*l - 38. Find p, given that y(p) = 0.
-6, -1, 2, 5
Let u(v) be the third derivative of 0*v**3 - 15 + 0*v**5 - 1/735*v**7 - 1/21*v**4 + 2*v**2 + 1/140*v**6 + 0*v. Let u(j) = 0. What is j?
-1, 0, 2
Let f(m) = -918*m - 6424. Let r be f(-7). Factor 0*d - 1/2*d**r + 1/2.
-(d - 1)*(d + 1)/2
Let q(i) be the first derivative of -3*i**4/32 - 151*i**3/24 + 51*i**2/8 + 804. Factor q(c).
-c*(c + 51)*(3*c - 2)/8
Suppose -8*c = 4*x - 13*c - 57, -x = c + 6. Let b(h) be the first derivative of -1/2*h**4 - 44 + 10/3*h**x + 14*h + 13*h**2. Solve b(t) = 0.
-1, 7
Let y be (-3124)/1065 - ((-1)/(-3) - 30/9). Let x(s) be the first derivative of s**2 - y*s**3 - 26 - 5*s. Factor x(j).
-(j - 5)**2/5
Let b be ((-25)/(-15))/((-159)/(-18) - 8). Suppose -4*f - 5*n - 4 = 0, -n - 23 = -4*f - 3. Solve -2/11*h**f - 6/11*h**3 - 6/11*h**b - 2/11*h + 0 = 0 for h.
-1, 0
Let a(j) be the third derivative of j**6/30 + j**5 - 26*j**4/3 + 24*j**3 - 5*j**2 + 188*j. Determine s, given that a(s) = 0.
-18, 1, 2
Let j(b) be the second derivative of 3*b**2 + 2*b + 7/6*b**3 - 6 + 1/12*b**4. Factor j(d).
(d + 1)*(d + 6)
Factor -2*s**3 + 0*s**3 - 466*s**4 + 468*s**4.
2*s**3*(s - 1)
Let s = 763646/5 + -152727. Suppose 0*y + 0 - 1/5*y**3 - s*y**2 = 0. Calculate y.
-11, 0
Let i(s) be the first derivative of 0*s + 0*s**2 - 9/2*s**4 + 61 - 9*s**3 - 3/5*s**5. Factor i(x).
-3*x**2*(x + 3)**2
Let t(l) be the second derivative of -3*l**5/40 + 293*l**4/8 + l**3/4 - 879*l**2/4 - 392*l - 1. Find u such that t(u) = 0.
-1, 1, 293
Let d be (-2232)/3627 + (-593657)/(-442). Suppose d*t**2 + 2523/4*t**5 - 177*t + 6 - 1815/4*t**3 - 2697/2*t**4 = 0. Calculate t.
-1, 2/29, 1, 2
Find x such that 14758 + 14740 + 132*x**2 - 29498 + x**3 = 0.
-132, 0
Let v(l) be the third derivative of 1/735*l**7 + 8/21*l**3 + 3/35*l**5 - 70*l**2 + 0 + 0*l - 5/21*l**4 - 1/60*l**6. Let v(z) = 0. Calculate z.
1, 2
Let d be (4/14)/((28482250/25410)/(-59) - -19). What is u in -63/2*u**2 + d + 3/2*u**3 + 297/2*u = 0?
-1, 11
Suppose -2*n + 3*z - 3 = 0, 0 = 2*n - 11*z + 14*z - 15. Suppose 0 = n*m + 7*r - 8*r - 8, -5*m + 36 = 4*r. Factor -4/3*g**3 - g + 0 - 5/6*g**m + 19/6*g**2.
-g*(g - 1)*(g + 3)*(5*g - 2)/6
Let b(s) be the second derivative of -4*s**7/21 + 73*s**6/15 - 45*s**5 + 530*s**4/3 - 826*s**3/3 + 147*s**2 - 119*s - 3. Find z such that b(z) = 0.
1/4, 1, 3, 7
Let g(q) be the second derivative of -3/2*q**3 + 1/4*q**4 + 0 - 12*q + 3*q**2. Find j, given that g(j) = 0.
1, 2
Let t(d) = -15*d**2 - 128*d + 327. Let m(w) be the first derivative of 5*w**3/3 + 21*w**2 - 108*w + 145. Let y(i) = 11*m(i) + 4*t(i). Factor y(f).
-5*(f - 2)*(f + 12)
Let m(y) be the third derivative of y**6/120 + 23*y**5/60 + 11*y**4/12 + y**3/2 - 9*y**2. Let b be m(-22). Factor -11*d**b + 4*d**2 - d**4 - d**2 + 9*d**3.
-d**2*(d - 1)*(d + 3)
Let n(i) = 23*i**3 + 13*i**2 + 480*i + 1536. Let r(h) = -42*h**3 - 29*h**2 - 960*h - 3074. Let s(u) = 11*n(u) + 6*r(u). Factor s(b).
(b - 43)*(b + 6)**2
Let c = 55983 + -55979. Suppose -2/11*y**c + 8/11*y**2 + 0*y**3 + 0*y + 0 = 0. What is y?
-2, 0, 2
Let z(k) be the second derivative of 0*k**3 - 4/11*k**2 - 2*k - 1/110*k**5 + 1/22*k**4 - 19. Find g, given that z(g) = 0.
-1, 2
Let t = 3335/3 - 1109. Let l(x) be the first derivative of -2*x**3 - t*x + 2/15*x**5 - 1/6*x**4 - 11/3*x**2 + 22. Solve l(v) = 0 for v.
-1, 4
Suppose 105 = -620*k + 613*k, 5*k + 81 = 2*f. Factor 0*v + 0 - 4/3*v**2 - 5/3*v**f.
-v**2*(5*v + 4)/3
Solve 10/3*p**5 + 108 - 88*p**3 + 36*p**2 + 16/3*p**4 + 234*p = 0.
-6, -1, -3/5, 3
Let v(s) = -72*s**3 + 144*s**2 - 10*s + 23. Let f be v(2). Solve 22/7*p - 2*p**2 + 18/7*p**4 - 22/7*p**f - 4/7 = 0.
-1, 2/9, 1
Suppose 1711*z - 1720*z = -45. Let w(k) be the second derivative of 0*k**2 + 0 + 1/3*k**3 - 1/12*k**4 - 1/6*k**6 + 20*k - 2/5*k**z. Factor w(u).
-u*(u + 1)**2*(5*u - 2)
Let g = -143235/2 - -71628. Let 45/2*r + 3/2*r**3 - g - 27/2*r**2 = 0. What is r?
1, 7
Let w(a) be the third derivative of -25*a**8/84 + 239*a**6/30 + 102*a**5/5 + 10*a**4/3 - 48*a**3 - 2267*a**2. Suppose w(l) = 0. What is l?
-2, -1, 2/5, 18/5
Let a(m) be the first derivative of -104 - 98/3*m + 1/6*m**4 + 21*m**2 - 10/3*m**3. Factor a(j).
2*(j - 7)**2*(j - 1)/3
Let s(a) be the first derivative of a**6/480 + 3*a**5/80 + 5*a**4/32 + 71*a**3/3 + 84. Let q(u) be the third derivative of s(u). Factor q(f).
3*(f + 1)*(f + 5)/4
Determine g, given that 548*g**3 - 254*g + 690*g**2 - 1926*g**2 + 1162*g - 200 - 20*g**4 = 0.
2/5, 1, 25
Let y(d) be the third derivative of 0*d - 65*d**2 - 3/4*d**4 - 1/20*d**5 + 0*d**3 + 0. Factor y(j).
-3*j*(j + 6)
Let q = 1/1324 - -11253/1324. Let n(k) be the first derivative of q*k**2 - k**3 - 10*k - 2. What is o in n(o) = 0?
2/3, 5
Let y(p) = -74*p + 4220. Let j be y(57). Let c(a) be the second derivative of 5/13*a**j - 1/78*a**4 - 28*a + 0 - 4/39*a**3. Factor c(v).
-2*(v - 1)*(v + 5)/13
Let c(z) be the second derivative of z**7/84 - 1111*z**6/15 + 1234321*z**5/10 + 62*z + 32. Factor c(j).
j**3*(j - 2222)**2/2
Suppose -c**2 - 160 + 38*c - 2 - 78 + 3*c**2 = 0. Calculate c.
-24, 5
Let x(r) be the second derivative of 3*r**5/160 - r**4/16 - 3*r**3/16 + 11*r + 49. Determine y so that x(y) = 0.
-1, 0, 3
Let l be -5 + (-80)/(-10) - (-167)/(-70). Let j = l + -3/14. Factor 0 + j*i**2 - 16/5*i.
2*i*(i - 8)/5
Let u(k) be the first derivative of k**3/4 + 8*k**2 - 11*k - 3781. Factor u(g).
(g + 22)*(3*g - 2)/4
Let l(s) be the third derivative of -s**5/75 - 60*s**4 - 108000*s**3 + 6*s**2 - 23. Let l(n) = 0. What is n?
-900
Let s(r) = -3*r + 7. Let l(u) = -u - 1. Let g(p) = -6*l(p) - s(p). Let h be g(1). Factor -8*i**2 - 12*i**3 + h*i - 6*i**2 + 3*i**2 + 4 - 3*i**3.
-(i + 1)*(3*i - 2)*(5*i + 2)
Let j(q) be the third derivative of -q**6/45 + q**5/6 - 106*q**2 - 4. Factor j(t).
-2*t**2*(4*t - 15)/3
Let i(w) = 19*w**2 + w + 1. Let x(g) = -44*g**2 + 1021*g + 28. Let m(b) = 20*i(b) + 5*x(b). What is d in m(d) = 0?
-32, -1/32
Let l = 275564 - 3030880/11. Solve -13122/11 - 2/11*t**2 + l*t = 0 for t.
81
Let z(t) be the third derivative of 53*t**7/665 - 97*t**6/1140 - 59*t**5/570 - t**4/76 - t**2 - 215*t + 4. Suppose z(f) = 0. Calculate f.
-1/3, -3/53, 0, 1
Let j(p) be the first derivative of -p**6/30 + 29*p**5/25 - 123*p**4/20 + 21*p**3/5 + 108*p**2/5 + 10106. What is a in j(a) = 0?
-1, 0, 3, 24
Let y = 545871 + -545868. Factor 1/5*w**5 + 6/5*w**y + 3/5 - 7/5*w - w**4 + 2/5*w**2.
(w - 3)*(w - 1)**3*(w + 1)/5
Factor 10/11 - 7/11*u**3 - 29/11*u + 27/11*u**2 - 1/11*u**4.
-(u - 1)**3*(u + 10)/11
Let q = 553 + -541. Suppose q = 298*y - 294*y. Suppose o + 0 + 5/2*o**2 + o**y = 0. What is o?
-2, -1/2, 0
Solve -23*s - 2300 + 3*s**2 + 5421 - 2221 - 22*s - 66*s = 0 for s.
12, 25
Let i(u)