4)/9
Let o be (-689 - -629) + 4400/56. Factor o - 2/7*h**2 + 128/7*h.
-2*(h - 65)*(h + 1)/7
Find t, given that 344*t + 106/3*t**3 - 246*t**2 + 40/3 = 0.
-2/53, 2, 5
Let u(d) be the first derivative of d**5/20 + 13*d**4/16 + 35*d**3/12 - 49*d**2/8 - 595. Factor u(m).
m*(m - 1)*(m + 7)**2/4
Let p(k) = -8*k**2 + 19*k - 53. Let w(i) = -15*i**2 + 39*i - 105. Let f(m) = -7*m + 187. Let x be f(26). Let o(d) = x*w(d) - 9*p(d). Solve o(g) = 0.
4
Let s = 4184 - 4150. Let m(z) be the second derivative of 0 - 1/12*z**4 + 1/60*z**6 + 0*z**3 + 0*z**2 + s*z - 1/40*z**5. Solve m(f) = 0.
-1, 0, 2
Let o be (17 - 2)*176/48. Let z(s) = 95*s**2 - 2380*s - 4590. Let d(w) = -7*w**2 + 170*w + 328. Let r(k) = o*d(k) + 4*z(k). Factor r(x).
-5*(x + 2)*(x + 32)
Factor -94/3*p**2 - 100/3*p + 64 + 2/3*p**3.
2*(p - 48)*(p - 1)*(p + 2)/3
Let k = 1923772/2244417 - -2/320631. Let l = 1 + 4. Determine o, given that -k*o**3 + 0 - 6/7*o**4 - 2/7*o**l - 2/7*o**2 + 0*o = 0.
-1, 0
Let w(p) = -5*p - 53. Let l be w(-11). Suppose -2*o**3 - 2*o + o - 72*o**4 + 2*o**l + 70*o**4 + 3*o = 0. Calculate o.
-1, 0, 1
Let 1136/17*g**3 + 52/17*g**4 - 14/17*g**5 + 0 + 768/17*g + 3008/17*g**2 = 0. Calculate g.
-4, -2/7, 0, 12
Suppose 18*q + 12 = 48. Let y(u) be the third derivative of -3/5*u**3 + 0*u + 0 + 1/100*u**5 + 17*u**q + 1/8*u**4. Factor y(f).
3*(f - 1)*(f + 6)/5
Let a = -73 - -149/2. Let w(v) be the first derivative of 0*v + a*v**4 + 8/3*v**3 + v**2 - 49. Determine k, given that w(k) = 0.
-1, -1/3, 0
Solve -2304/5 + 384/5*d + 44/5*d**2 + 1/5*d**3 = 0.
-24, 4
Let d(b) be the third derivative of b**6/40 + 33*b**5/20 + 4*b**4 + 3077*b**2. Factor d(w).
3*w*(w + 1)*(w + 32)
Let p(s) = 723*s**2 - 360*s - 15. Let v(m) = -18*m**2 - m + 1. Let g(r) = p(r) + 33*v(r). Determine k, given that g(k) = 0.
2/43, 3
Let h(i) be the first derivative of 0*i + 1/4*i**4 + 1/6*i**3 - 35 + 0*i**2 - 3/10*i**5. Find w such that h(w) = 0.
-1/3, 0, 1
Let k(i) = -13*i**2 - 4*i. Let m(v) = 7*v**2 + 2*v. Let w = 34 + 2. Let y = 30 - w. Let q(f) = y*k(f) - 11*m(f). Factor q(x).
x*(x + 2)
Let x(f) = -f**2 - 6*f - 2. Let r = 111 - 116. Let d be x(r). Let 2/3*w + 0 + 22/3*w**4 + 4*w**5 - 2/9*w**d - 26/9*w**2 = 0. What is w?
-3/2, -1, 0, 1/3
Let t = -6/17 - -29/34. Let h be (-423)/1128 - (138/(-48) - -2). Suppose -1/2*k**5 + 1/2*k**3 + 0 + 0*k + t*k**2 - h*k**4 = 0. What is k?
-1, 0, 1
Solve -15*p**2 - 7 - 16*p + 14*p**2 - 9 - 3*p**2 = 0 for p.
-2
Find v such that -496 + 112*v**3 + 24341*v - 4*v**4 - 972*v**2 - 21749*v - 1232 = 0.
1, 3, 12
Let n be 38/(-12)*100/(-475). Let m(f) be the third derivative of 16*f**3 + 1/90*f**5 - 35*f**2 + 0 - n*f**4 + 0*f. Suppose m(k) = 0. Calculate k.
12
Factor -80174 - 2895*x + 156749 - 5*x**2 - 79465.
-5*(x + 1)*(x + 578)
Let c be (870/(-145))/(243/(-9)). Factor 14/9*a - c*a**3 - 4/3 + 0*a**2.
-2*(a - 2)*(a - 1)*(a + 3)/9
Let z(l) = -l + 0*l - 4*l + 179 + 10*l. Let r be z(-34). What is v in 0*v - 6*v**3 + r*v**4 + 4/3*v**2 + 0 - 9/2*v**5 = 0?
0, 2/3
Let n(w) be the second derivative of 0 + 15*w**3 - 93*w - 1/4*w**5 + 0*w**2 + 85/12*w**4. Factor n(q).
-5*q*(q - 18)*(q + 1)
Let r(s) be the second derivative of 1/5*s**5 - 8 + 2*s + 6*s**2 - 10/3*s**3 + 1/3*s**4. Factor r(i).
4*(i - 1)**2*(i + 3)
Let r = 16712 - 16707. Let a(o) be the second derivative of -17*o + 0 + 1/12*o**4 + 7/6*o**3 + r*o**2. Factor a(v).
(v + 2)*(v + 5)
Factor 54389*j**2 + 11530*j**2 - 3720*j**2 + 60492 + 858*j**3 + 3*j**4 + 121836*j.
3*(j + 1)**2*(j + 142)**2
Suppose -212*q + g - 6 = -216*q, -2*q = -7*g - 18. What is k in 1/2*k + 3/2*k**3 + 3/2*k**q + 1/2*k**4 + 0 = 0?
-1, 0
Suppose 129/11 - 40/11*g - 1/11*g**2 = 0. Calculate g.
-43, 3
Let r be (3/(-45)*-3)/((-3)/(-1329)). Let t = 2663/30 - r. Factor -1/6*m - t*m**2 + 1/6*m**3 + 1/6.
(m - 1)**2*(m + 1)/6
Let o(m) = 38*m**2 + 1507*m - 8886. Let i(n) = -100*n**2 - 4520*n + 26656. Let z(c) = 3*i(c) + 8*o(c). Factor z(r).
4*(r - 370)*(r - 6)
Let r(o) = -25*o**3 - 70*o**2 - 720*o - 1940. Let i(z) = -z**3 - 10*z**2 - z + 1. Let v(u) = 20*i(u) - r(u). Factor v(b).
5*(b - 14)**2*(b + 2)
Suppose 0 = c + 9*s - 12*s - 69, 0 = 3*c + 4*s + 79. Let -3/2*u**2 + 6 - 3/4*u**3 + c*u = 0. What is u?
-2, 2
Factor -1448*n**3 - 120 - 1661*n**3 + 3284*n**3 + 740*n - 1170*n**2.
5*(n - 6)*(5*n - 2)*(7*n - 2)
Suppose -2 = 3*w + 5*o - 0*o, 3 = -2*w - 3*o. Let z(f) = -f**3 - 9*f**2 + f + 18. Let y be z(w). Factor -t**3 + t**3 + 4*t**4 - t**4 - 9*t - 3*t**2 + y*t**3.
3*t*(t - 1)*(t + 1)*(t + 3)
Let h be -18 + (-240)/(-48) - (-309)/21. Find p such that -6/7*p**3 + 6/7*p - 3/7*p**4 - 9/7 + h*p**2 = 0.
-3, -1, 1
Let p(g) = -7*g**2 + 16*g - 1. Let y be 1 - (-8 - (-44 - 5)). Let s(a) = -a**2 + a - 1. Let j(l) = y*s(l) + 5*p(l). Factor j(h).
5*(h + 1)*(h + 7)
Let t(o) be the first derivative of -2*o**3/21 - 15*o**2/7 - 5957. Find z, given that t(z) = 0.
-15, 0
Let x(u) be the third derivative of u**8/112 - u**7/5 - 9*u**6/20 + 2*u**5 + 73*u**4/8 + 15*u**3 - 115*u**2 + 18. Factor x(m).
3*(m - 15)*(m - 2)*(m + 1)**3
Let y(l) be the second derivative of l**6/15 - l**5/12 - l**4/36 - 18*l + 5. Factor y(h).
h**2*(h - 1)*(6*h + 1)/3
Let d(w) be the first derivative of -1/7*w**3 + 201 + 0*w - 6/7*w**2. Find a, given that d(a) = 0.
-4, 0
Let g(j) be the third derivative of -j**6/240 + 43*j**5/60 - 1632*j**2. Factor g(x).
-x**2*(x - 86)/2
Let v be (-10)/(-4) + 1/((-6)/9). Let s be ((19 - v)/(-3))/(-3). Suppose 10*a**2 - 18*a**s + 5*a**2 + 6*a**2 - 6 - 3*a = 0. Calculate a.
-1, 2
Let j = -473 - -477. Determine q so that -j*q**2 - 4 + 4210*q - 4238*q - 20 = 0.
-6, -1
Let q(y) be the first derivative of y**7/42 - y**6/15 + y**5/20 + 109*y - 76. Let d(r) be the first derivative of q(r). Factor d(h).
h**3*(h - 1)**2
Suppose 904 + 656*u + 4*u**2 + 161 + 231 = 0. Calculate u.
-162, -2
Suppose 11*k + 15150 = 15172. Let d(n) be the third derivative of -12*n**k - 1/24*n**6 + 5/24*n**4 - 1/42*n**7 + 1/12*n**5 + 0 + 0*n**3 + 0*n. Factor d(c).
-5*c*(c - 1)*(c + 1)**2
Let i(j) be the second derivative of j**6/10 - 3*j**5/2 + 9*j**4/4 + 54*j**3 - 162*j**2 + 4739*j. Solve i(v) = 0.
-3, 1, 6
Let t be (-9 + 585/70)*63/(-27). Factor 0 + 1/2*j**3 - t*j**2 + 5/6*j + 1/6*j**4.
j*(j - 1)**2*(j + 5)/6
Let s(b) = -b**4 - 92*b**3 - 270*b**2 - 277*b - 89. Let f(x) = 2*x**4 + 94*x**3 + 270*x**2 + 278*x + 88. Let p(m) = 3*f(m) + 4*s(m). Factor p(c).
2*(c - 46)*(c + 1)**3
Factor -3/2*u**2 - 1197*u - 477603/2.
-3*(u + 399)**2/2
Let l(i) be the third derivative of -i**6/10 - 71*i**5/20 - 55*i**4/4 + 16*i**3 + 2090*i**2 - 2. Suppose l(y) = 0. What is y?
-16, -2, 1/4
Factor 112*d + 29792 + 2/19*d**2.
2*(d + 532)**2/19
Suppose 14 = 2*o - 3*r, 0 = -5*o + 11*r - 6*r + 45. Factor -o*j - 5*j**2 - 19*j + 9*j**2.
4*j*(j - 8)
Suppose 29*p**4 - 48*p + 0*p**5 + 104*p**2 + 31*p**4 + 44*p**2 - 156*p**3 - 3*p**5 - p**5 = 0. Calculate p.
0, 1, 12
Let b(x) = 69*x + 71. Let q be b(-1). Let d(z) be the first derivative of 0*z + 15 + 1/4*z**4 - 1/15*z**5 - 1/3*z**3 + 1/6*z**q. Let d(f) = 0. What is f?
0, 1
Let f(k) = 17*k**3 + 361*k**2 - 26*k - 433. Let i(g) = 4*g**3 + 92*g**2 - 6*g - 108. Let p(v) = 2*f(v) - 9*i(v). Find j such that p(j) = 0.
-53, -1, 1
Suppose 58 = 21*t + 55*t - 94. Factor -1/6*c**t - 1/2*c + 3.
-(c - 3)*(c + 6)/6
Let v be (0 - 474)*(-1890)/504. Let o = -1777 + v. Suppose -9/2*l - o*l**2 + 3/2*l**4 + 13/2*l**3 - 2*l**5 - 1 = 0. What is l?
-1, -1/4, 1, 2
Determine w so that 235/3*w - 15*w**5 - 20/3 + 410/3*w**3 - 40/3*w**4 - 180*w**2 = 0.
-4, 1/9, 1
Let 7/3*a - a**2 - 2/3 = 0. Calculate a.
1/3, 2
Let i be (-5)/15 + 85/(-15) + -34. Let s be (i/(-16) + -4)*-2. Find j, given that -2*j**2 - 2/3*j**s + 1/3*j + 1 + j**4 + 1/3*j**5 = 0.
-3, -1, 1
Let -1750329*x - 1323*x**2 - 771895089 - 1/3*x**3 = 0. What is x?
-1323
Let p(m) be the third derivative of -m**5/12 - 275*m**4/24 + 250*m**3 + 3247*m**2. Factor p(s).
-5*(s - 5)*(s + 60)
Suppose 5*s = i + 6, -5*s = 5*i + 11 - 41. Find h, given that -160 + 8*h**3 + 51*h**s + 37*h**2 + 22*h**2 + 37*h**3 + 5*h**4 = 0.
-4, -2, 1
Let x(v) be the second derivative of -v**6/72 - v**5/24 + 5*v**4/12 - 17*v**3/6 + 35*v. Let i(z) be the second derivative of x(z). Factor i(m).
-5*(m - 1)*(m + 2)
Let g = 986 + -984. Let z(t) be the second derivative of -17*t + 0*t**g + 0 - 1/40*t**5 + 0*t**3 + 0*t**4. Determine r so t