.
-9, 0
Suppose -993*t + 13 = 3*y - 991*t, 0 = 2*y - 5*t + 4. Factor 1/7*x**5 - 2/7*x - 5/7*x**2 + 1/7*x**4 - 3/7*x**y + 0.
x*(x - 2)*(x + 1)**3/7
Let b = -6 - 2. Let g be 2/b + 882/8. Determine y so that -3*y + 2*y**2 + 4*y - 112*y**4 - y**5 + g*y**4 = 0.
-1, 0, 1
Find g, given that -1434818/19 - 3388/19*g - 2/19*g**2 = 0.
-847
Let w(b) be the second derivative of b**4/42 - 6*b**3 + 369*b**2/7 + 1290*b + 2. Factor w(z).
2*(z - 123)*(z - 3)/7
Let x(q) be the second derivative of q**5/20 - q**4 - 5*q**3/2 + 13*q**2 + 1119*q. Factor x(i).
(i - 13)*(i - 1)*(i + 2)
Suppose -b - 2 = 0, -14*y + 5*b = -17*y - 10. Let z(q) be the first derivative of 0*q**3 + 0*q**4 + y*q - 1/20*q**5 - 1 - 1/24*q**6 + 0*q**2. Factor z(k).
-k**4*(k + 1)/4
Suppose 1/7*q**2 + 1536/7 + 88/7*q = 0. Calculate q.
-64, -24
Let c(m) be the first derivative of -m**4/12 - 452*m**3/9 - 25538*m**2/3 - 1184. Factor c(x).
-x*(x + 226)**2/3
Let u = 15 + -13. Suppose 4*k = k + u*k. Factor -2*m + 2*m**3 - 83 + 85 - 2*m**2 + k*m.
2*(m - 1)**2*(m + 1)
Suppose 0 = 4*c - 17 - 3. Factor -p**4 - 4*p**4 + c*p**3 + 152*p**2 - 127*p**2 + 15*p.
-5*p*(p - 3)*(p + 1)**2
Suppose -46 = 3*d - 5*v, -2*d + 7*d = 4*v - 55. Let c be 2/6 - 1/(-21)*d. Factor 0 - 3*m + 9/4*m**3 + c*m**2 - 3/4*m**4.
-3*m*(m - 2)**2*(m + 1)/4
Let v(o) be the third derivative of o**5/12 + 17*o**4/20 + 4*o**3/15 - 844*o**2. Factor v(f).
(f + 4)*(25*f + 2)/5
Let d(r) be the second derivative of -5*r**5/4 - 37*r**4/9 + 2*r**3/9 + 2*r + 5. Factor d(f).
-f*(f + 2)*(75*f - 2)/3
Let q(v) = v**3 - v + 1. Let f(z) = 10*z**3 - 188*z**2 - 198*z + 14. Let t(i) = -f(i) + 14*q(i). Find l, given that t(l) = 0.
-46, -1, 0
Let b = 5801 - 5801. Let y(r) be the third derivative of 0*r + b - 17*r**2 + 0*r**3 + 5/12*r**4 + 1/12*r**5 - 1/24*r**6. Solve y(f) = 0 for f.
-1, 0, 2
Let u(c) = 6*c**3 - c**2 - 257*c + 569. Let p(q) = 2*q**3 - 86*q + 190. Let w(r) = -7*p(r) + 2*u(r). Suppose w(h) = 0. Calculate h.
-8, 3, 4
Let j(n) be the second derivative of -9*n**6/10 - 171*n**5/2 + 383*n**4/4 - 32*n**3 + 84*n + 8. What is i in j(i) = 0?
-64, 0, 1/3
Suppose m - 13 = -l + 34, -5*l - 3*m + 237 = 0. Let g be 598/12 + -2 + 8/l. Factor 17*p**4 - 29*p**2 + 11*p**4 - 9*p - 71*p**2 - 15*p - g*p**3.
4*p*(p - 3)*(p + 1)*(7*p + 2)
Let h(m) be the first derivative of -2*m**4/3 - 26*m**3 + 40*m**2 + 152*m + 240. Let z(p) be the first derivative of h(p). Let z(b) = 0. What is b?
-20, 1/2
Let u = -112 + 117. Let n(c) = 4*c - 18. Let l be n(u). Suppose -14/3*t**2 - l*t**3 + 0*t + 8/3 = 0. Calculate t.
-2, -1, 2/3
Let g(j) = j**2 - 1 - 3*j - 3*j**3 + 4 + 24*j**3 - 4. Let l be g(4). Solve -1349*w + 2*w**3 + 3 + l*w - 3 = 0.
-1, 0, 1
Let k(i) be the first derivative of 3*i**4/2 + 298*i**3/3 - 362*i**2 + 208*i - 2139. Factor k(b).
2*(b - 2)*(b + 52)*(3*b - 1)
Suppose 8*w + 148 = 9*w. Solve -181*s + 36*s**5 + 39 + 9 + 28*s**3 - w*s**2 + 149*s + 132*s**4 = 0 for s.
-3, -1, 2/3
Factor -190*n - 2/9*n**3 + 1050 + 34/3*n**2.
-2*(n - 21)*(n - 15)**2/9
Let g(a) be the third derivative of -1/195*a**6 + 1/78*a**5 + 1/1365*a**7 + 0*a**3 + 0 - 1/78*a**4 + 11*a**2 + 0*a. Find u, given that g(u) = 0.
0, 1, 2
Let 64/3*w + 40 - 6*w**3 - 82/3*w**2 + 2/3*w**5 + 10/3*w**4 = 0. What is w?
-5, -3, -1, 2
Let s be (-1 + 0)*5402/(-15111) - (-10)/115. Suppose -3 = -f - 1. Factor 0 - 8/9*o**f - s*o**3 - 4/9*o.
-4*o*(o + 1)**2/9
Let r(l) be the third derivative of -l**9/120960 - l**8/3360 + l**7/224 - 56*l**5/15 + l**2 - 1. Let g(d) be the third derivative of r(d). Factor g(y).
-y*(y - 3)*(y + 15)/2
Let j(k) = -23*k**3 + 43*k**2 - 12*k - 3. Let t(f) = 3*f - 9*f + 0*f**3 + 38 + 22*f**2 - 12*f**3 - 40. Let h(s) = -2*j(s) + 5*t(s). Let h(p) = 0. What is p?
-2/7, 1
Let i(x) be the third derivative of x**6/360 + 5*x**5/12 - 73*x**3/2 + 94*x**2 - 2*x. Let c(h) be the first derivative of i(h). Find k such that c(k) = 0.
-50, 0
Let h = 1734558/5 + -346910. Factor -126/5*w**3 + 8/5*w + h*w**2 + 0.
-2*w*(7*w - 2)*(9*w + 2)/5
Let c = -386 - -346. Let x(q) = q**3 - 2*q**2 - q + 1. Let j(r) = -9*r**3 + 4*r**2 + 9*r + 4. Let n(o) = c*x(o) - 5*j(o). Suppose n(b) = 0. What is b?
-12, -1, 1
Let x be (7 - (7 + -5)) + 5. Factor x - 13580*t - 26 + 13568*t + 4*t**2.
4*(t - 4)*(t + 1)
Let z(v) be the first derivative of -v**6/27 - 152*v**5/45 + 155*v**4/18 - 52*v**3/9 + 2577. Factor z(j).
-2*j**2*(j - 1)**2*(j + 78)/9
Factor -24*m**3 - 2*m**3 - 355*m**2 + 832*m + 4569 - 4645 + 5*m**3.
-(m - 2)*(m + 19)*(21*m - 2)
Let z be 12*(-33)/2376 + (-152)/(-48). Let 86/7*d + 72/7*d**z - 24/7 + 2/7*d**5 - 116/7*d**2 - 20/7*d**4 = 0. Calculate d.
1, 3, 4
Let o be (-49)/6*390/(-910) - 2/4. Factor 1/3*w**4 - 4*w + 4*w**o + 0 - 1/3*w**2.
w*(w - 1)*(w + 1)*(w + 12)/3
Let p(w) = -w**3 - 15*w**2 + 34*w + 2. Let b(v) = -3*v**2 + v - 3. Let d be b(-2). Let u be p(d). Factor -10*a**2 - 26 + 8 + 8*a**u - 12*a.
-2*(a + 3)**2
Let j be 5 + ((-87)/(-145))/((-2)/(-10)). Factor -3*p**2 - 3*p**4 - 17*p**3 - 104 + 56 + 72*p + j*p**3 - 9*p**3.
-3*(p - 1)**2*(p + 4)**2
Suppose 102*d - 104*d = 4*g - 56, 4*g - 72 = -6*d. Factor -1/10*f**d + 0 + 4/5*f**3 - 13/10*f**2 + 3/5*f.
-f*(f - 6)*(f - 1)**2/10
Let h(y) be the second derivative of y**6/90 - 21*y**5/20 + 121*y**4/36 + 7*y**3/2 - 61*y**2/3 + 151*y + 7. Let h(c) = 0. What is c?
-1, 1, 2, 61
Let u(v) be the second derivative of v - 8/11*v**2 - 31/33*v**3 + 2/33*v**4 + 31. Factor u(r).
2*(r - 8)*(4*r + 1)/11
Let g(i) be the first derivative of -i + 1/3*i**3 - 1/4*i**4 + 1/2*i**2 - 95. Factor g(u).
-(u - 1)**2*(u + 1)
Factor -441*p**2 + 3*p**4 + 85 + 501*p**2 - 14*p**3 + 158*p - 4*p**4.
-(p - 5)*(p + 1)**2*(p + 17)
Suppose -4*t = 2*w + 4, w + 41*t = 40*t. Let j(r) be the first derivative of -3/2*r**w + 2/3*r + 4/9*r**3 - 18. Factor j(k).
(k - 2)*(4*k - 1)/3
Let w(h) be the third derivative of -h**6/480 + 11*h**5/60 - 85*h**4/96 + 7*h**3/4 - h**2 + 9*h. Factor w(i).
-(i - 42)*(i - 1)**2/4
Solve 39/7*c**2 + 1/7*c**4 + 0 + 13/7*c**3 + 27/7*c = 0.
-9, -3, -1, 0
Let o(d) = -d**3 - 35*d**2 + 64*d - 368. Let c be o(-37). Factor 0*a**c + 0 + 0*a - 2/17*a**3.
-2*a**3/17
Find z such that 0 + 3/5*z**2 + 141/5*z**3 - 141/5*z - 3/5*z**4 = 0.
-1, 0, 1, 47
Let b = 70 - -14. Factor -72 + 3*n**4 + 6*n**2 + b*n - 8*n**2 - 9*n**3 - 5*n**2 - 11*n**2.
3*(n - 2)**3*(n + 3)
Let r(o) = 4*o**2 - 3*o - 11. Let s be r(-4). Find a, given that -32*a - 32 + 2*a**4 + 60*a**3 - 174*a**3 + s*a**3 + 57*a**3 = 0.
-2, 2
Let z(f) = -f**2 - 28*f - 154. Let g be z(-20). Let s be (-1)/g - 25/(-78). Factor -s*p + 12/13 - 2/13*p**2.
-2*(p - 2)*(p + 3)/13
Factor -102*j + 55*j**2 + 268*j - 2*j - 44*j + 5*j**3 - 180.
5*(j - 1)*(j + 6)**2
Suppose 6*l - 154 + 172 = 0. Let o(m) = -4*m**3 + 24*m**2 + 62*m + 32. Let c(y) = 5*y**3 - 22*y**2 - 62*y - 32. Let b(k) = l*o(k) - 2*c(k). Factor b(z).
2*(z - 16)*(z + 1)**2
Let j(o) be the third derivative of -203*o**2 - 4/5*o**3 + 5/24*o**4 + 0*o + 0 - 1/300*o**5. Factor j(l).
-(l - 24)*(l - 1)/5
Let y(l) be the second derivative of l + 1/3*l**3 + 1/120*l**5 + 1/12*l**4 + 0 + 2/3*l**2. Determine n, given that y(n) = 0.
-2
Let a(f) = -2*f**4 + 80*f**3 + 798*f**2 + 2656*f + 1944. Let c(z) = -z**4 - 2*z. Let j(o) = -a(o) + 4*c(o). Factor j(h).
-2*(h + 1)*(h + 6)**2*(h + 27)
Let y(n) be the third derivative of n**6/120 - 49*n**5/15 + 3135*n**4/8 + 3267*n**3 + 697*n**2. Factor y(q).
(q - 99)**2*(q + 2)
Let g(i) = i**3 - 425*i**2 - 2061*i - 3003. Let d(f) = f**3 - 10*f**2 - f + 2. Let h(s) = -6*d(s) + g(s). Factor h(x).
-5*(x + 3)**2*(x + 67)
Let b(v) be the second derivative of 0*v**4 + 84*v - 3/10*v**6 + 0 + 3/10*v**5 + 1/14*v**7 + 0*v**3 + 0*v**2. Factor b(q).
3*q**3*(q - 2)*(q - 1)
Let u(r) = -r**2 - 5*r + 19. Let l be u(-7). Let m(k) = -3*k**2 - 74*k. Let b(s) = s. Let n(g) = l*b(g) + m(g). Find x such that n(x) = 0.
-23, 0
Let r(g) be the first derivative of -29 - 1/30*g**4 + 2/5*g + 2/9*g**3 - 7/15*g**2. Factor r(c).
-2*(c - 3)*(c - 1)**2/15
Suppose -2*k - 25 = 5*o, 0 = 60*k + 3*o - 472 - 101. Find c, given that -k + 200*c**4 - 75*c - 165/4*c**3 + 375/4*c**5 - 335/2*c**2 = 0.
-2, -2/5, -1/3, 1
Let c(i) = i**4 + 6. Let y(s) = -7*s**4 + 42*s**3 - 33*s**2 - 78*s - 24. Let a(f) = -4*c(f) - y(f). Factor a(w).
3*w*(w - 13)*(w - 2)*(w + 1)
Let f(a) = 2*a**3 - 2*a - 6. Let j(o) = -3*o**3 + o**2 + 2*o + 8. Let q = -118