5*v(o). Let w be m(-3). Factor 11*g**2 + 9/2 - w*g - 4*g**3 + 1/2*g**4.
(g - 3)**2*(g - 1)**2/2
Determine i so that 77*i + 384/5*i**2 + 0 - 1/5*i**3 = 0.
-1, 0, 385
Let q(v) be the second derivative of -5*v**7/42 + 13*v**6/6 - 39*v**5/4 + 115*v**4/12 + 100*v**3/3 - 90*v**2 + 4*v - 123. Let q(x) = 0. Calculate x.
-1, 1, 2, 9
Let u(d) be the second derivative of d**4/24 + 73*d**3/4 + 945*d**2/2 + d + 3481. Determine y, given that u(y) = 0.
-210, -9
Let o = 2003 - 2000. Let m(k) be the second derivative of 0*k**o - 9*k + 0*k**2 + 0 + 0*k**5 - 1/12*k**4 + 1/30*k**6. Let m(w) = 0. Calculate w.
-1, 0, 1
Let q be 45/(-60)*(-1 + ((-104)/(-16) - 6)). Factor -3/2*z + 0*z**2 + 0 + q*z**3.
3*z*(z - 2)*(z + 2)/8
Let l = -5653/28 + 92/7. Let i = l - -2269/12. Let 3*n**2 + 0 + i*n**4 + 2*n**3 + 0*n = 0. What is n?
-3, 0
Let y(h) be the third derivative of h**5/210 - 5*h**4/7 + 300*h**3/7 - h**2 + 1. Suppose y(s) = 0. Calculate s.
30
What is f in 2 + 9/5*f - 7/5*f**2 = 0?
-5/7, 2
Let a(v) be the second derivative of 3*v**3 + 24*v**2 + 111*v - 1/4*v**4 + 0. Factor a(i).
-3*(i - 8)*(i + 2)
Suppose 220 - 78 - 88 - 29*r + r**2 = 0. What is r?
2, 27
Let t = 1/10933 + -31694772/54665. Let j = -579 - t. Find i such that 7/5*i**2 + 12/5*i - j = 0.
-2, 2/7
Let x(i) be the third derivative of 0*i - 1/180*i**6 + 7/36*i**4 + 0*i**3 - 1/15*i**5 + 2*i**2 + 41. What is n in x(n) = 0?
-7, 0, 1
Let m(c) be the first derivative of 2*c**3/3 + 1000*c**2 - 9088. Let m(s) = 0. What is s?
-1000, 0
Let r = -3086 + 1101703/357. Let x = r + 355/714. Find f such that 1/2*f + 1/6*f**2 - x*f**3 + 1/6 - 1/3*f**4 = 0.
-1, -1/2, 1
Suppose -3/8*z**2 - 3*z + 99/8 = 0. Calculate z.
-11, 3
Factor 109959 - 4284*z**2 - 54984 - 54979 + 4288*z.
-4*(z - 1)*(1071*z - 1)
Let x(r) be the third derivative of -4*r**2 + 277/105*r**5 + 2/735*r**7 - 130/7*r**4 + 0*r - 1/7*r**6 + 1352/21*r**3 + 2. Solve x(t) = 0.
2, 13
Let j be ((-6)/(-18) - 12/(-18)) + 371. Suppose 0 = -12*r - 348 + j. Suppose 8/3*f**3 + 0 + 4/3*f**4 + 0*f + 2/9*f**5 + 16/9*f**r = 0. What is f?
-2, 0
Suppose -4*g = 3*k - 117 - 15, -2*k = -4*g - 88. Find w, given that 50*w**4 - 5*w - 150*w**2 + 109*w**3 + 8*w**3 - 22*w**3 + 6*w + k*w = 0.
-3, 0, 1/2, 3/5
Let y = -2102 - -2105. Let b(n) be the second derivative of -n - 32/3*n**y - 1/3*n**4 - 128*n**2 + 0. Let b(u) = 0. What is u?
-8
Let i(l) be the first derivative of -l**7/21 - l**6/15 + 7*l**5/40 - l**4/12 + 2*l + 25. Let y(p) be the first derivative of i(p). Factor y(m).
-m**2*(m + 2)*(2*m - 1)**2/2
Let o(u) be the second derivative of -u**4/12 + 47*u**3/6 + 253*u**2 - 678*u. Let n be o(56). Factor -1/8*h**n - 1 - 3/4*h.
-(h + 2)*(h + 4)/8
Let c = -314259 - -314262. Factor 0*i + 18/7*i**5 - 3*i**4 + 15/7*i**2 - 12/7*i**c + 0.
3*i**2*(i - 1)**2*(6*i + 5)/7
Let n be (-331)/(-7) + (-9729)/207. Factor -52/7 + n*q**2 - 22/7*q.
2*(q - 13)*(q + 2)/7
Let u(p) be the first derivative of -p**5/5 - 9*p**4/4 - 6*p**3 + 1906. Suppose u(y) = 0. What is y?
-6, -3, 0
Let f = 2193676/341 + -70744/11. Let b = -50/31 + f. Factor b*k**3 + 4/11*k**2 - 2/11*k**4 + 0*k + 0.
-2*k**2*(k - 2)*(k + 1)/11
Let 64/3*p - 320/3 + 2/3*p**3 + 44/3*p**2 = 0. Calculate p.
-20, -4, 2
Determine t so that -27/5*t**3 + 0 + 18/5*t**4 - 12/5*t**2 - 3/5*t**5 + 36/5*t = 0.
-1, 0, 2, 3
Let s(y) be the second derivative of -2*y**6/75 - 22*y**5/25 - 157*y**4/15 - 264*y**3/5 - 648*y**2/5 - 1269*y + 2. Let s(c) = 0. What is c?
-9, -2
Let b be 18/(0 + -6)*(6/3)/(-2). Let q(n) be the first derivative of 1/2*n**4 + 0*n**2 + 0*n + 2 + 8/3*n**b. Suppose q(h) = 0. What is h?
-4, 0
Let b(o) be the third derivative of -1/240*o**5 - 13/96*o**4 - 24*o**2 - 1/2*o**3 - 3*o + 0. Let b(k) = 0. What is k?
-12, -1
Let y(l) = -289*l**3 - 2290*l**2 + 5793*l - 3237. Let c(z) = 4*z**2 + z - 1. Let f(d) = 6*c(d) + 2*y(d). Factor f(v).
-2*(v + 10)*(17*v - 18)**2
Let i(z) be the first derivative of 4*z**5/5 - 29*z**4 + 196*z**3/3 + 282*z**2 - 648*z + 811. Determine d so that i(d) = 0.
-2, 1, 3, 27
Let u be (-44)/(-11) - 6 - 1*-2. Let a(r) be the first derivative of 1/2*r**2 - 4 + u*r + 1/3*r**3. Factor a(o).
o*(o + 1)
Let c(r) be the third derivative of -122*r**2 - 1/160*r**6 + 1/1680*r**7 + 0*r + 7/480*r**5 + 0 - 1/6*r**3 + 1/32*r**4. Let c(p) = 0. Calculate p.
-1, 1, 2, 4
Let m(o) be the first derivative of 2*o**5/5 + 35*o**4/2 - 186*o**3 + 621*o**2 - 756*o - 1895. What is g in m(g) = 0?
-42, 1, 3
Factor 766*p - 276*p - 216607 + 5*p**2 + 217092.
5*(p + 1)*(p + 97)
Factor -2/7*k**2 + 44/7 - 6*k.
-2*(k - 1)*(k + 22)/7
Factor 8/3*a**3 + 20*a + 124/3*a**2 + 0.
4*a*(a + 15)*(2*a + 1)/3
Let v(q) be the third derivative of q**8/1512 + q**7/105 - q**6/180 - 5*q**5/54 + q**4/6 + 458*q**2 + 1. Suppose v(t) = 0. What is t?
-9, -2, 0, 1
Let u = 36107/5 + -35318/5. Let x = -157 + u. Factor 1/5*d**2 + x + d.
(d + 1)*(d + 4)/5
Let m be (-42)/(-119) - (10 + 14272/(-408)). Let 136/3*f**2 + 2/3*f**5 + 38*f + 20/3*f**4 + m*f**3 + 12 = 0. Calculate f.
-3, -2, -1
Let b be (-4 - 0)*1*(5 - -1). Let d be 90/44 + b/44. Find m such that -d*m**2 - 1/2 + 3/2*m + 1/2*m**3 = 0.
1
Let w(c) be the third derivative of -c**6/80 + 253*c**5/120 + 107*c**4/12 + 43*c**3/3 - 360*c**2. Factor w(o).
-(o - 86)*(o + 1)*(3*o + 2)/2
Let w(q) be the first derivative of -36*q + 38 - 44/3*q**3 - q**4 - 38*q**2. Factor w(n).
-4*(n + 1)**2*(n + 9)
Suppose -390 - 4*d + 48*d**2 + 97*d + 30*d - 8*d - 28*d + 3*d**3 = 0. What is d?
-13, -5, 2
Let j be 294/45 + 50/(-375). Suppose -4*r - 2*t = -18, t + 29 = 2*r + 6*t. Factor -48/5*g + 18/5*g**r - 2/5*g**3 + j.
-2*(g - 4)**2*(g - 1)/5
Let -152/3*j**2 - 4/3*j**4 - 368*j + 28*j**3 - 288 = 0. Calculate j.
-2, -1, 6, 18
Suppose 158 - 113 = 19*t - 4*t. Let b(g) be the third derivative of -1/48*g**4 + 13/240*g**5 + 21*g**2 + 0*g + 0 + 0*g**t. Factor b(y).
y*(13*y - 2)/4
Let m be (3 + (-168)/70)/((9/(-15))/(-3)). Determine i, given that -m*i**3 + 3*i + 3/2*i**4 + 0*i**2 - 3/2 = 0.
-1, 1
Let c(h) be the first derivative of 5*h**6/6 + h**5 - 45*h**4/4 - 15*h**3 + 4924. Factor c(s).
5*s**2*(s - 3)*(s + 1)*(s + 3)
Let z be ((-6)/12 + 2)*2. Suppose -10*s**z + 6*s**3 - 36*s**3 + 11*s**4 - 3*s**5 + 2*s**5 + 48*s**2 + 0*s**5 = 0. What is s?
0, 3, 4
Let k = -418 + 418. Suppose k = -22*o - 8*o. Factor 0 - 3*d + 9/2*d**2 + o*d**3 - 3/2*d**4.
-3*d*(d - 1)**2*(d + 2)/2
Let z(g) be the second derivative of g**6/270 - 49*g**5/180 + 43*g**4/9 + 1118*g**3/27 - 1352*g**2/9 + 4*g + 65. Factor z(h).
(h - 26)**2*(h - 1)*(h + 4)/9
Let q(w) be the first derivative of 11*w**4/16 - 43*w**3/6 - 115*w**2/8 - 9*w/2 - 4424. Factor q(t).
(t - 9)*(t + 1)*(11*t + 2)/4
Let m(f) be the third derivative of -f**5/90 + 17*f**4/72 - 7*f**3/6 + 2306*f**2. Determine q, given that m(q) = 0.
3/2, 7
Let i(r) = -11*r**4 + 50*r**3 - 42*r**2 + 10*r - 2. Let x(t) = -44*t**4 + 202*t**3 - 163*t**2 + 41*t - 9. Let b(a) = -18*i(a) + 4*x(a). Factor b(o).
2*o*(o - 2)**2*(11*o - 2)
Let w(i) = 19*i**2 + 7*i. Let d be w(-9). Suppose 2*l = 7*l - 7380. Determine k so that 5*k**3 + l*k**2 - d*k**2 - 5*k = 0.
-1, 0, 1
Let l(f) be the first derivative of f**6/6 - 9*f**4/4 - 4*f**3/3 + 6*f**2 + 2427. Solve l(v) = 0.
-2, 0, 1, 3
Let p(n) be the first derivative of 1/2*n**4 - 8*n + 8*n**2 - 10/3*n**3 + 14. Suppose p(d) = 0. What is d?
1, 2
Let j(z) be the second derivative of 3*z**5/80 + 9595*z**4/48 + 2557867*z**3/8 + 2556801*z**2/8 + 1581*z. Find n, given that j(n) = 0.
-1599, -1/3
Let k(b) = b - 8. Let m be k(12). Suppose o = 2*c + 5, o - 6 - 1 = m*c. Factor 12*i**2 + 6*i**o - 9*i**3 + 5*i**3 + 16 + 24*i.
2*(i + 2)**3
Let p(u) = -3688*u - 36878. Let a be p(-10). Find f, given that 12/7 - 2/7*f - 2/7*f**a = 0.
-3, 2
Let n(h) be the first derivative of -4/15*h + 1/2*h**4 + 4/45*h**3 - 22 - h**2. Suppose n(w) = 0. Calculate w.
-1, -2/15, 1
Let w(s) be the second derivative of -21*s**5/100 - 46*s**4/5 - 1123*s**3/10 - 459*s**2/5 - 2*s + 4061. Suppose w(x) = 0. Calculate x.
-17, -9, -2/7
Let z(n) = 11*n**3 + 2*n**2 + 30*n + 24. Let c(r) = -20*r**3 - 6*r**2 - 61*r - 48. Let m(p) = -5*c(p) - 9*z(p). Find g, given that m(g) = 0.
-8, -3, -1
Let c(n) be the first derivative of -75*n**2 + 5/3*n**3 + 0*n + 23. Factor c(d).
5*d*(d - 30)
Let v(o) be the second derivative of -11552*o**4/51 + 1520*o**3/51 - 25*o**2/17 - 5451*o. Factor v(c).
-