5
Suppose -722*v + 2614 + 794 = 385 + 135. Determine y, given that -13/4*y - 1/4*y**v - 1 - 7/4*y**3 - 15/4*y**2 = 0.
-4, -1
Suppose -205*b - 80*b + 570 = 0. Suppose -576/5*m - 184/5*m**b - 4/5*m**4 + 64/5*m**3 - 324/5 = 0. What is m?
-1, 9
Let i(x) = -x. Let s(h) = -4*h**2 - 229*h - 3364. Suppose 35*f - 24 = 43*f. Let t(u) = f*i(u) - s(u). Factor t(z).
4*(z + 29)**2
Let z(f) be the first derivative of -f**3 - 135*f**2 + 552*f - 187. Factor z(y).
-3*(y - 2)*(y + 92)
Solve 114/5*k**3 - 4/5*k**2 - 152/5*k + 0 - 1/5*k**5 - 7*k**4 = 0 for k.
-38, -1, 0, 2
Let n = 431861 - 431849. Factor x**2 + n*x**3 - 5/2 - 21/2*x.
(x - 1)*(4*x + 1)*(6*x + 5)/2
Let m = 658/2601 + 44782/28611. Solve -18/11 - 2/11*u**2 + m*u = 0 for u.
1, 9
Factor 170*h - 664*h - 694*h + 39*h**3 + 15*h**3 + 3*h**4 + 1105 + 111*h**2 + 347.
3*(h - 2)**2*(h + 11)**2
Let i(f) be the third derivative of -f**8/110880 - f**7/1386 - 5*f**6/198 + 26*f**5/15 + f**2 + f. Let u(x) be the third derivative of i(x). Factor u(y).
-2*(y + 10)**2/11
Let w(j) be the first derivative of 3*j**6/320 - 5*j**5/192 - j**4/96 - 11*j**3/3 - 20. Let h(s) be the third derivative of w(s). Factor h(b).
(b - 1)*(27*b + 2)/8
Factor -43*i**2 + 126*i - 61*i + 750 + 95*i + 45*i**2.
2*(i + 5)*(i + 75)
Suppose -103 - 55 + 86 = -24*j. Find t such that -9/4*t**2 - 1 + 11/4*t + 1/4*t**j + 1/4*t**4 = 0.
-4, 1
Suppose -19*m + 2 + 36 = 0. Determine b, given that -2*b + 28*b + 5*b**m - 6*b = 0.
-4, 0
Let z(a) be the first derivative of -2*a**6 - 9*a**5 + 6*a**4 + 15*a**3 - 6*a**2 - 591. Determine l, given that z(l) = 0.
-4, -1, 0, 1/4, 1
Let u(x) = 15*x + 1398. Let n be u(-93). Find c such that c + 3/4*c**2 + 0 - 5/4*c**4 - 3/2*c**n = 0.
-1, 0, 4/5
Let l(z) be the second derivative of -1 + 5/48*z**4 - 19/12*z**3 - 29*z - 2*z**2. Determine g so that l(g) = 0.
-2/5, 8
Let f(h) be the third derivative of -1/120*h**5 - 1/4*h**4 - 3*h**3 + 0*h + 0 - 124*h**2. Solve f(d) = 0 for d.
-6
Let l(a) be the third derivative of -2*a**3 + 0*a + 0 - 2/15*a**5 + 38*a**2 - 11/12*a**4. Factor l(t).
-2*(t + 2)*(4*t + 3)
Let o(g) be the first derivative of -2*g**3/33 + 1082*g**2/11 - 585362*g/11 - 260. Factor o(f).
-2*(f - 541)**2/11
Let b(l) be the third derivative of -l**6/150 + 32*l**5/25 + l**4/30 - 64*l**3/5 + l**2 - 62. Factor b(n).
-4*(n - 96)*(n - 1)*(n + 1)/5
Let t(w) be the first derivative of 1/12*w**2 + 1/3*w**3 + 1/36*w**6 - 1/2*w - 165 - 1/12*w**4 - 1/10*w**5. Suppose t(c) = 0. Calculate c.
-1, 1, 3
Let m(u) be the second derivative of 5/12*u**4 + 3*u - 17 + 0*u**2 - 3/4*u**5 - 1/6*u**6 + 5/42*u**7 + 5/3*u**3. Let m(b) = 0. Calculate b.
-1, 0, 1, 2
Let l(p) be the second derivative of -p**8/20160 + p**7/3780 - 235*p**4/12 + 27*p. Let b(v) be the third derivative of l(v). Factor b(c).
-c**2*(c - 2)/3
Let a(n) be the second derivative of -n - 3721/2*n**3 - 1/20*n**5 - 226981/2*n**2 - 61/4*n**4 + 1. Factor a(x).
-(x + 61)**3
Let r(l) be the third derivative of l**8/840 + 3*l**7/14 - 19*l**6/100 - 113*l**5/300 + 4592*l**2. Find h such that r(h) = 0.
-113, -1/2, 0, 1
Let q(w) be the second derivative of 5/24*w**4 + 108*w + 0 + 1/24*w**6 + 0*w**3 + 0*w**2 + 3/16*w**5. Factor q(d).
5*d**2*(d + 1)*(d + 2)/4
Let b be 4/(19 + (-950)/57). Let 48/7*r**2 - b*r**4 + 0 - 16/7*r - 16/7*r**5 + 68/7*r**3 = 0. What is r?
-2, -1, 0, 1/4, 2
Let i(j) be the first derivative of j**6/24 - 139*j**5/5 + 77283*j**4/16 + 139*j**3/3 - 19321*j**2/2 - 9964. Determine x so that i(x) = 0.
-1, 0, 1, 278
Let d(h) = 7*h + 0*h - 4*h - 138 + 129. Let t be d(4). What is j in 1634*j - 1629*j + 9*j**3 - 2*j**3 + 15*j**2 + 3*j**t = 0?
-1, -1/2, 0
Let w(v) be the first derivative of v**5/15 - v**4/3 + 5*v**3/9 - v**2/3 - 792. Solve w(t) = 0 for t.
0, 1, 2
Let s(z) be the third derivative of 1/10*z**4 + 0 + 72*z**2 + 0*z + 0*z**3 - 1/175*z**7 + 1/25*z**5 + 1/560*z**8 - 3/200*z**6. Determine x so that s(x) = 0.
-1, 0, 2
Let g(i) = i - 3 - 293*i**2 + i**3 + i + 145*i**2 + 145*i**2. Let h be g(3). Factor 108*s**h - 109*s**3 - 4*s + 2*s - 3*s**2.
-s*(s + 1)*(s + 2)
Suppose 8*m = 36*m - 56. Suppose -6*s**4 + 1747*s**m + 8*s**5 - 8*s**3 - 2*s**3 + 2*s - 1741*s**2 = 0. Calculate s.
-1, -1/4, 0, 1
Find p such that 285*p**3 + 516*p + 150542*p**2 + 166*p**4 - 54 - 151386*p**2 - 21*p**3 - 36 - 12*p**5 = 0.
-3, 1/3, 1/2, 1, 15
Let c(f) = 21*f**2 - 1172*f - 1425. Let r be c(57). Find u such that -2*u**2 + r + 0*u + 2/11*u**3 = 0.
0, 11
Let r be (8/(-12) + (-84)/9)/(-1). Suppose -2*o + 3*v = 5, -o + 3*v - r = -v. Factor 2*p**2 - 7*p**o + 0*p + 2*p**2 - 9*p.
-3*p*(p + 3)
Factor 11*u**2 + 0*u**4 + 8*u**4 - 2*u**5 + 6*u**3 - 11*u**2 - 36*u**2.
-2*u**2*(u - 3)**2*(u + 2)
Let s be (-6)/(25/((-700)/24)). Factor 25*d**2 - 32*d - 9*d**2 - 22 - 5*d**2 - s*d**2 - 14.
4*(d - 9)*(d + 1)
Suppose 3*x = -o + 21, 5*o - 313*x = -318*x + 45. Let c(i) be the first derivative of 7 + 10*i**o + 75/2*i**2 + 3/4*i**4 + 0*i. Factor c(s).
3*s*(s + 5)**2
Let i(o) = -o**2 - 6*o + 55. Let w be i(-8). Determine g so that -47*g**2 + 99*g**4 + 58*g**2 - 123*g**3 + 18 - 104*g**2 + 108*g**5 + w*g = 0.
-1, -1/3, 2/3, 3/4
Let a(r) be the third derivative of 0*r**3 + 1/595*r**7 - 25 + r**2 + 1/510*r**5 - 1/340*r**6 - 1/2856*r**8 + 0*r + 0*r**4. Solve a(t) = 0.
0, 1
Let s = 1274 + -1202. Let j be (-4)/(s/105)*(-16)/14. Suppose -j*r**2 + 13/3*r + 3*r**3 - 2/3 = 0. What is r?
2/9, 1
Suppose 998*i - 9 = -5*n + 997*i, -4*n = -3*i - 30. Factor 46/5*z - 4 - 2*z**2 - 4/5*z**n.
-2*(z - 2)*(z + 5)*(2*z - 1)/5
Factor -9522/13 - 9798/13*d - 2/13*d**3 - 278/13*d**2.
-2*(d + 1)*(d + 69)**2/13
Suppose -3503*y + 9059 + 1936 - 486 = 0. Let 19/2*t**4 + 3*t**2 + 0*t - 2*t**5 + 0 + 29/2*t**y = 0. Calculate t.
-1, -1/4, 0, 6
Factor 3199 - 8408*n - 110560 + 28462*n - 1315*n**2 - 107169*n - 5*n**3 + 21556.
-5*(n + 1)*(n + 131)**2
Let y(i) = -4*i**3 + 68*i**2 - 53*i + 19. Let q(t) = -t**3 - t**2 - 7*t - 1. Let a(k) = 6*q(k) + 2*y(k). Factor a(v).
-2*(v - 8)*(v - 1)*(7*v - 2)
Let z(t) be the first derivative of -t**7/45 - t**6/20 - t**5/45 + t**2 - 2*t - 84. Let f(o) be the second derivative of z(o). Find p such that f(p) = 0.
-1, -2/7, 0
Let r(l) be the third derivative of l**6/40 - 19*l**5/4 + 221*l**4 + 12168*l**3 + 5*l**2 - 21*l + 7. Find m such that r(m) = 0.
-9, 52
Factor t**4 - 2*t**3 + 896*t + 792585*t**2 + 0*t**4 - 792745*t**2.
t*(t - 8)**2*(t + 14)
Suppose -25*w + 800 = -5*w. Factor 33*m - 15*m**2 + w + 8*m - 11*m - 5*m**3.
-5*(m - 2)*(m + 1)*(m + 4)
Let r(i) = i**2 - 20. Let h be r(-4). Let p be (-172)/(-96) + h/6. Determine w so that p*w + 3/8*w**2 + 0 = 0.
-3, 0
Let t = -7604 + 7769. Let q(w) be the first derivative of -12*w**2 - 68*w**3 - 16 - t*w**5 - 125/2*w**6 + 0*w - 315/2*w**4. Let q(z) = 0. What is z?
-1, -2/5, 0
Suppose -6142 + 1766 = -1132*b + 38*b. Factor 81/2*y**2 + 45/2*y**3 + 1/2*y**5 + 0 + 27*y + 11/2*y**b.
y*(y + 2)*(y + 3)**3/2
Let j(u) be the second derivative of 1/60*u**4 + 0*u**2 - 16*u + 0 + 1/15*u**3. Let j(s) = 0. What is s?
-2, 0
Let j(b) be the third derivative of b**5/180 - 83*b**4/9 + 221*b**3/6 + 3*b**2 - 2510*b. Find p such that j(p) = 0.
1, 663
Let v(w) be the second derivative of w**5/5 + 35*w**4/3 + 64*w**3/3 - 136*w**2 + 4*w. Factor v(c).
4*(c - 1)*(c + 2)*(c + 34)
Let u(a) = -71*a**2 + 164*a + 6724. Let y(c) = 47*c**2 - 164*c - 6724. Let z(q) = -2*u(q) - 3*y(q). Factor z(k).
(k + 82)**2
Let w(d) be the second derivative of -5/36*d**4 + 0 - 148*d + 1/60*d**5 + 0*d**2 - 1/3*d**3. Suppose w(f) = 0. What is f?
-1, 0, 6
Let u(d) be the second derivative of 1/9*d**4 - 2/3*d**2 + 40*d + 0 + 0*d**3. Determine k so that u(k) = 0.
-1, 1
Let g(l) be the second derivative of 4*l**7/189 - 353*l**6/135 + 716*l**5/45 - 56*l**4/9 - 4*l - 435. Solve g(d) = 0.
0, 1/4, 4, 84
Let p(j) be the first derivative of -192*j - 3/4*j**4 + 63 - 120*j**2 - 17*j**3. Let p(m) = 0. Calculate m.
-8, -1
Let x = 81924 - 81924. Factor 0*s + x*s**2 + 0 - 1/2*s**3.
-s**3/2
Let d(l) be the third derivative of -l**5/15 + 31*l**4/3 + 42*l**3 + 529*l**2. Factor d(n).
-4*(n - 63)*(n + 1)
Solve 12*z + 67/3*z**3 - 88/3*z**2 - 1/3*z**5 + 0 - 14/3*z**4 = 0 for z.
-18, 0, 1, 2
Find g, given that -33/4*g**4 - 9*g**2 + 279/4*g**3 - 72 - 159*g = 0.
-1, -6/11, 2, 8
Let x = -116 + 120. Determine q so that 25*q**3 - 2*q + 19*q**3 - 50*q**x + 32*q**4 + 10