*2
Let j(f) be the third derivative of f**5/12 + 85*f**4/12 + 55*f**3/2 + 50*f**2 - 12. Determine y so that j(y) = 0.
-33, -1
Let n be ((-2)/6)/((-2)/2*65/39). Factor -1/5*y**2 + 0 + n*y**3 + 1/5*y**4 - 1/5*y.
y*(y - 1)*(y + 1)**2/5
Suppose 4*u = 3*x + 3, -2*u - 16*x = -13*x + 3. Let q(y) be the second derivative of y**2 - 1/3*y**3 - 16*y + u + 1/24*y**4. Factor q(d).
(d - 2)**2/2
Let m(t) be the first derivative of -14/13*t**2 - 49 + 2/39*t**3 + 0*t. Factor m(z).
2*z*(z - 14)/13
Let n be 4*1/(-6) - 86/(-3). Let s be (-71)/n - 36/(-126) - -3. Determine w, given that 3/4*w - s*w**5 + 3/2*w**2 - 3/2*w**4 + 0*w**3 + 0 = 0.
-1, 0, 1
Suppose 4*d - 3*d = 3*o - 1, -2*d + 2*o = -2. Suppose 181*w**3 - 18*w - 24*w**d - 8*w - 179*w**3 = 0. What is w?
-1, 0, 13
Let j(m) be the second derivative of 0 + 1/4*m**3 + 9*m + 0*m**2 - 3/8*m**4 + 27/160*m**5. Find t such that j(t) = 0.
0, 2/3
Let l = 220 + -221. Let n(d) = -4*d**2 - 128*d + 156. Let t(i) = -i. Let h(k) = l*n(k) - 24*t(k). Factor h(f).
4*(f - 1)*(f + 39)
Suppose 2*b - 297 = -3*f + 5*b, 0 = 4*f - 3*b - 392. Factor 123*n**3 - 42*n**2 + f*n**2 - 126*n**3 - 17 - 33*n.
-(n - 17)*(n - 1)*(3*n + 1)
Suppose -4*j + 17 = -p, -11*j - 14 = -12*j + 10*p. Find v, given that 32/5*v**2 + 2/5*v**5 - 64/5*v + 32/5 + 8/5*v**3 - 2*v**j = 0.
-2, 1, 2
Let p(c) be the third derivative of c**5/150 + 11*c**4/30 + 121*c**3/15 - 86*c**2 - 5*c. Factor p(d).
2*(d + 11)**2/5
Let s be 100/60*(-44)/(-110). Find w, given that 0 + 2*w**3 + s*w**4 + 4/3*w**2 + 0*w = 0.
-2, -1, 0
Determine w, given that -65*w - w**3 + 38*w - 5*w**2 - w**2 + 3*w**3 + 224 - 81*w = 0.
-7, 2, 8
Let w(r) = -2*r**3 + 14*r**2 + 14*r + 15. Let v be w(8). Let t be v/((-35)/4 - -3). Factor -2/23*x**2 + 0 - t*x.
-2*x*(x + 2)/23
Let k(d) = -d**2 - 34*d + 394. Let i be k(9). Let z be -4 + i - 4 - -4. Factor 0*t + 0 - 2/11*t**2 - 1/11*t**z.
-t**2*(t + 2)/11
Let k(o) = o**3 + 9*o**2 - 93*o + 22. Let s be k(6). Let d(x) be the first derivative of -2/5*x**5 - 4*x - 6*x**3 + 7*x**2 + 7 + 5/2*x**s. Solve d(b) = 0.
1, 2
Let r be (-3 - -1)/(6/78)*-2. Factor 65*p**2 - 29*p**2 - 291*p + r*p**2 - 4*p**3 + 52*p + 288 - 65*p.
-4*(p - 18)*(p - 2)**2
Let x = -2190 + 4381/2. Let f(w) be the first derivative of 49 - x*w - 1/12*w**3 + 7/16*w**2 - 1/32*w**4. Suppose f(k) = 0. What is k?
-4, 1
Let y(c) = c**3 + 36*c**2 + 133*c - 110. Let s be y(-5). Let -2*f**5 + 0*f**2 + 0 + s*f + 0*f**3 - 2/3*f**4 = 0. Calculate f.
-1/3, 0
Let j(z) be the third derivative of 2/15*z**5 - 7 + 0*z**3 - 2*z**2 + 0*z + 1/540*z**6 + 0*z**4. Factor j(l).
2*l**2*(l + 36)/9
Factor -67*t**2 + 26*t**2 + 42*t**2 + 2*t + 6 - 20 - 10.
(t - 4)*(t + 6)
Let t be (30 + -15)/(0 - 0 - -1). Let r(h) = -18*h**2 + 228*h - 15. Let k(q) = 5*q**2 - 57*q + 4. Let m(o) = t*k(o) + 4*r(o). Solve m(i) = 0 for i.
-19, 0
Let r(h) be the second derivative of -1/42*h**7 + 3*h + 6*h**3 - 6 + 1/3*h**4 - 27/20*h**5 - 2/5*h**6 + 0*h**2. Let r(k) = 0. Calculate k.
-9, -2, 0, 1
Let y(h) be the third derivative of 1/36*h**3 + 1/720*h**6 + 1/48*h**4 - 3*h + 2*h**2 + 1/120*h**5 + 0. Solve y(x) = 0.
-1
Suppose -4*d - 35 = -3*z + 33, -5*z = -5*d - 80. Let c be ((-45)/d)/((-9)/(-24)). What is s in 0 - 4*s - s**2 - c - 5*s + 2*s = 0?
-6, -1
Suppose -13 = -2*t - 85. Let q = -35 - t. Find f such that 2 + 12*f**2 - 3*f**3 + 17*f + q - 32*f + 3 = 0.
1, 2
Let x(d) be the third derivative of d**7/42 - 187*d**6/24 - 377*d**5/12 - 315*d**4/8 + 259*d**2. Find i, given that x(i) = 0.
-1, 0, 189
Let m = -363 + 402. Find i such that -9 - 12*i**2 + 29 + 44*i**2 - 16*i**4 - 44*i**3 + 124*i**2 + m*i - 155*i = 0.
-5, 1/4, 1
Factor 78/5*n - 32/5 + n**2.
(n + 16)*(5*n - 2)/5
Let u be 641/1923*(-2)/(-8). Let s(p) be the first derivative of 1/2*p**2 + u*p**3 + 0*p - 45. Find w, given that s(w) = 0.
-4, 0
Let t(w) be the second derivative of w**7/5040 + w**6/480 + w**5/120 + w**4/12 + 8*w**2 - 2*w + 28. Let m(a) be the third derivative of t(a). Factor m(q).
(q + 1)*(q + 2)/2
Determine z, given that -2654208000 + 4147200*z + 3/8*z**3 - 2160*z**2 = 0.
1920
Let m(f) be the second derivative of 5 - 1/14*f**7 + 3/40*f**5 + 0*f**2 + 0*f**4 - 7*f - 7/40*f**6 + 0*f**3. Solve m(h) = 0.
-2, 0, 1/4
Let r(t) be the second derivative of -t**4/48 + 37*t**3/24 - 35*t**2/4 - 3*t - 54. Factor r(n).
-(n - 35)*(n - 2)/4
Let s(c) = -11*c - 251. Let t be s(-23). Find j, given that -32*j - 41 - j**2 - 10*j - 57 - j**t + 14*j = 0.
-7
Factor 1055*b - 4*b**2 - 3138*b + 1068*b + 1063*b - 80.
-4*(b - 10)*(b - 2)
Suppose -2112*a + 2097*a = -360. Let t be a/(75/6 + (-6)/(-4)). Solve -16/7*b**2 - 2/7*b**4 + 18/7 + t*b - 12/7*b**3 = 0.
-3, -1, 1
Suppose -10*p**2 + 1/3*p**3 - 1/6 - 16/3*p + 61/6*p**4 + 5*p**5 = 0. Calculate p.
-1, -1/30, 1
Let l(h) = 26*h**3 - 3*h**2 - 33*h. Let m(a) = 34*a**3 - 2*a**2 - 32*a. Let s(f) = 4*l(f) - 3*m(f). Find d, given that s(d) = 0.
-3, 0, 6
Suppose 732 - 389 = 7*o. Let d be (-2)/(14/o + (-74)/14). Determine m, given that 1/5*m**4 - 2/5*m + 0*m**2 + d*m**3 - 1/5 = 0.
-1, 1
Find v such that -494 + 2975 + 3413 + 7396*v**2 + 5770 + 18576*v = 0.
-54/43
Let b(r) = -13*r**3 - 1483*r**2 + 852*r - 7. Let y(h) = -6*h**3 - 742*h**2 + 380*h - 4. Let j(l) = 4*b(l) - 7*y(l). Factor j(c).
-2*c*(c - 1)*(5*c + 374)
Let c be 39/(-273) - -2*11/22. Suppose -16/7 + 2*z**3 - 2/7*z**5 - c*z**4 - 12/7*z + 22/7*z**2 = 0. What is z?
-4, -1, 1, 2
Let d(j) be the second derivative of 44/3*j**3 - 242*j**2 - 34*j + 0 - 1/3*j**4. Determine o so that d(o) = 0.
11
Let c(p) be the first derivative of 4*p**5/35 + 5500*p**4/7 + 10090664*p**3/7 + 30239000*p**2/7 + 30228004*p/7 - 11059. Factor c(a).
4*(a + 1)**2*(a + 2749)**2/7
Let n(u) be the third derivative of u**7/630 + 31*u**6/180 + 92*u**5/15 + 529*u**4/36 - 85169*u**3/18 + 2501*u**2. Factor n(r).
(r - 7)*(r + 23)**3/3
Let b(i) be the second derivative of i**5/24 + 35*i**4/18 + 125*i**3/9 + 40*i**2 + 120*i. Factor b(d).
5*(d + 2)**2*(d + 24)/6
Let a(k) be the second derivative of -5*k**4/12 + 340*k**3 + 2045*k**2/2 + 52*k + 25. What is i in a(i) = 0?
-1, 409
Suppose 138*z - 142*z = -8. Determine g, given that -45361*g**4 - 3 - 28*g**z - 56*g + 46*g**3 + 45405*g**4 + 10*g**5 - 13 = 0.
-2, -1, -2/5, 1
Let q(b) be the first derivative of -7/2*b + 15/4*b**2 + 1/8*b**4 - 3/2*b**3 + 133. Factor q(f).
(f - 7)*(f - 1)**2/2
Let h(p) be the second derivative of 0*p**4 - 1/135*p**6 + 1 - 1/30*p**5 + 4/27*p**3 - p + 0*p**2. Suppose h(r) = 0. What is r?
-2, 0, 1
Solve 264*d - 3872/5 + 2/5*d**3 - 96/5*d**2 = 0.
4, 22
Find h such that -8/3 - 160/3*h**5 - 200/3*h**2 + 74/3*h + 208/3*h**4 + 86/3*h**3 = 0.
-1, 1/4, 4/5, 1
Let z = 7302/11 + -255548/385. Let t(w) be the second derivative of -10*w - 1/14*w**4 - 1/21*w**3 + z*w**5 + 0*w**2 + 0. Factor t(m).
2*m*(m - 1)*(4*m + 1)/7
Let v = 418 - 424. Let n be ((-66)/(-11) - 12)/(v/2). Determine y, given that 11/3*y - n + 1/3*y**3 - 2*y**2 = 0.
1, 2, 3
Suppose 1332*i**2 + 9*i**5 + 680*i + 222*i**4 + 96 + 7*i**5 + 4*i**5 + 16*i**5 + 1044*i**3 + 110*i**4 = 0. What is i?
-4, -3, -1, -2/9
Suppose -727 + 420 + 306 - z + z**2 + z**3 = 0. Calculate z.
-1, 1
Suppose -p - g = 3*p + 17, -3*g - 9 = -2*p. Let s be (30/(-8) - p) + 186/24. Factor 1 + 17*d**4 - 4*d**3 - 1 - s*d**4 - 6*d**5.
-2*d**3*(d - 1)*(3*d - 2)
Factor -200/17 - 28/17*s**2 - 230/17*s + 2/17*s**3.
2*(s - 20)*(s + 1)*(s + 5)/17
Factor -1044 + 1/2*b**2 - 521*b.
(b - 1044)*(b + 2)/2
Let v be ((-206)/46)/((-70)/(-63)). Let c = -72/23 - v. Let c - 3/10*t - 1/2*t**2 - 1/10*t**3 = 0. Calculate t.
-3, 1
Let i be (-6)/(-10) - 3/5. Suppose 9*k = 36*k - 54. Find a such that i*a - 2*a + a**3 + 16*a**k - 15*a**2 = 0.
-2, 0, 1
Let u(o) be the third derivative of -1/4*o**4 - 11/20*o**5 + 2*o**2 + 0 + 50*o + 0*o**3. Suppose u(d) = 0. What is d?
-2/11, 0
Let c(n) = -5*n**4 - 102*n**3 + 9*n**2 + 292*n - 206. Let f(k) = -21*k**4 - 408*k**3 + 36*k**2 + 1164*k - 825. Let t(o) = -9*c(o) + 2*f(o). Factor t(s).
3*(s - 1)**2*(s + 2)*(s + 34)
Suppose -7*r + 125 + 127 = 0. Suppose -r*z + 20 = -35*z. Factor 13*o + z + 8*o**2 + 5*o - 3*o**2 + 7*o.
5*(o + 1)*(o + 4)
Suppose 8*u - 2*u = -24. Let q(w) = -w**3 + 1. Suppose 1 = 2*k + 3. Let g(r) = -8*r**3 - 45*r**2 + 12*r - 4. Let b(a) = k*g(a) + u*q(a). Factor b(c).
3*c*(c + 4)*(4*c - 1)
Let u = -6138 + 6143. Let h(t) be the third derivati