rivative of -2*h**5 + 79*h**4/8 + 245*h**3/6 + 2*h**2 - 6*h + 10749. Determine k, given that g(k) = 0.
-2, -1/4, 1/5, 6
Let h(f) = f**2 + 70*f - 195. Let w(z) = -3*z**2 - 211*z + 584. Let g(l) = 19*h(l) + 6*w(l). Find d, given that g(d) = 0.
-67, 3
Suppose -18*g - 28 = -17*g. Let b(r) = 40*r**2 + 12*r - 14. Let t(q) = 3*q**2 - 2*q - 1. Let n(o) = g*t(o) + 2*b(o). Factor n(z).
-4*z*(z - 20)
Let b(u) be the second derivative of 2*u**4/3 - 7*u**3/6 - u**2/2 - 8*u + 111. Find g, given that b(g) = 0.
-1/8, 1
Let a(y) be the first derivative of y**6/9 + 28*y**5/15 - 46*y**4/3 + 44*y**3/3 + 57*y**2 - 3358. Determine n so that a(n) = 0.
-19, -1, 0, 3
Suppose -17*p + 4*p - 45*p + 116 = 0. Suppose 64/11*w - 10/11*w**p + 42/11 = 0. What is w?
-3/5, 7
Let k = 49650 + -49645. Determine p, given that -100/11 + 190/11*p + 20/11*p**4 - 4*p**3 - 2/11*p**k - 64/11*p**2 = 0.
-2, 1, 5
What is k in 0 + 1262/5*k + 2/5*k**2 = 0?
-631, 0
Suppose 0 = 9*c - 21 + 3. Let p = -23608 + 23608. Factor p + 0*n + n**4 + 1/3*n**5 + n**3 + 1/3*n**c.
n**2*(n + 1)**3/3
Let b be (10/40 - (-189)/12) + -14. Determine t, given that -21/2 - 15/4*t + 3/4*t**b = 0.
-2, 7
Let f(b) be the first derivative of b**4/18 - 2686*b**3/3 + 5410947*b**2 - 14533803642*b - 8894. Determine y, given that f(y) = 0.
4029
Let a(f) be the second derivative of 3*f**5/20 - 99*f**4/4 + 2067*f**3/2 + 58989*f**2/2 - 12*f - 201. Determine z, given that a(z) = 0.
-7, 53
Suppose -5*p + 6 = -3*g, 5*p - 2*g + 0 = 4. Suppose 0 = 5*r - p*o + 5*o - 40, 2*o + 4 = 3*r. Factor 2/13*j**r + 0 + 24/13*j**2 + 16/13*j + 12/13*j**3.
2*j*(j + 2)**3/13
Suppose -5*a - 80 = 5*u, 40 - 216 = 2*a + 11*u. Let y be 3/2*(-4)/(-5). Factor -9/5*z**2 - y*z + 0*z**3 + a + 3/5*z**4.
3*z*(z - 2)*(z + 1)**2/5
Let s(x) = -3*x**2 + 17*x - 17. Let z = 3 + 2. Let r(f) = 93*f - 2*f**2 - f**2 - 18 - 179*f + 104*f. Let d(i) = z*r(i) - 6*s(i). Factor d(w).
3*(w - 2)**2
Let f(m) be the third derivative of -m**6/3 + 109*m**5/12 - 155*m**4/12 - 65*m**3/2 - 3472*m**2. Find o such that f(o) = 0.
-3/8, 1, 13
Let a(d) be the second derivative of d**8/10080 + d**7/945 + 37*d**4/3 - d**2 + 22*d. Let w(m) be the third derivative of a(m). What is x in w(x) = 0?
-4, 0
Let c(y) be the first derivative of y**6/15 - 16*y**5/25 - 67*y**4/10 + 484*y**3/15 - 168*y**2/5 + 1626. What is k in c(k) = 0?
-7, 0, 1, 2, 12
Determine j so that 1/4*j**3 + 89/4*j**2 + 0*j + 0 = 0.
-89, 0
Let a be (-4)/6*12*(-20)/32. Suppose j + g = -1, a*g - 6 = -2*j - 11. Determine n so that -1/7*n**3 + 3/7*n + j*n**2 + 2/7 = 0.
-1, 2
Let s = -20 + 32. Suppose 4*u + 4 = s. Let y(d) = 2*d**2 - 11*d - 5. Let m(o) = o + 1. Let v(g) = u*y(g) + 10*m(g). Suppose v(z) = 0. What is z?
0, 3
Let i(g) be the first derivative of 275684*g**4/7 + 228616*g**3/7 + 71094*g**2/7 + 9826*g/7 - 9740. Find r such that i(r) = 0.
-17/82
Let l = -197/61 + 4/549. Let b = -49/18 - l. Suppose d + 0 - b*d**3 - 1/2*d**2 = 0. Calculate d.
-2, 0, 1
What is h in 4*h**3 + 40/3*h**2 - 276*h - 280/3 = 0?
-10, -1/3, 7
Factor 85*k**2 + 5*k**5 - 29*k**2 + 129*k**2 + 171*k**3 + 204*k**3 + 195*k**4.
5*k**2*(k + 1)**2*(k + 37)
Suppose 144 = -443*y + 461*y. Let q(f) be the third derivative of 0 - 1/180*f**5 + 1/18*f**3 - y*f**2 + 0*f + 0*f**4. Determine o, given that q(o) = 0.
-1, 1
Find g such that 0 + 0*g - 4*g**2 + 62/5*g**3 + 4/5*g**5 - 46/5*g**4 = 0.
0, 1/2, 1, 10
Let u(l) be the first derivative of -l**3/6 - 3373*l**2/12 + 375*l - 8894. Factor u(d).
-(d + 1125)*(3*d - 2)/6
Let o be (3/2)/((-387)/(-86)). Let w(a) be the first derivative of -4/9*a**3 + a + 1/15*a**5 + o*a**2 - 1/6*a**4 - 2. Suppose w(p) = 0. What is p?
-1, 1, 3
Let b(g) be the first derivative of g**6/6 + 3*g**5/5 - 3*g**4/4 - 11*g**3/3 - 3*g**2 + 422. Determine c, given that b(c) = 0.
-3, -1, 0, 2
Let w be -20 - (14 + -31) - -5. Let x(r) be the first derivative of -2*r**w + 3/2*r**4 - 6 + 0*r - 10/3*r**3. Factor x(k).
2*k*(k - 2)*(3*k + 1)
Let n(q) = q**3 - 7*q**2 + 8*q - 7. Let y be n(6). Suppose 44 = y*d - d. Let -6*c + 21*c**4 - 9*c**3 - d*c**4 + 11*c**4 - 21*c**2 + 15*c**5 = 0. What is c?
-1, -2/5, 0, 1
Let d(m) be the second derivative of m**4/54 - 47*m**3/27 + 10*m**2 + 2*m + 510. Let d(g) = 0. What is g?
2, 45
Suppose 50*p - 57*p = -10584. Let f = p - 34770/23. Find y such that -54/23*y**4 - 32/23*y + 8/23 + 72/23*y**3 + f*y**2 = 0.
-2/3, 1/3, 2/3, 1
Factor 4/7*w**3 + 2112/7*w - 2304/7 + 188/7*w**2.
4*(w - 1)*(w + 24)**2/7
Suppose -8*s + 79 = 47. Suppose -4*w + 2*n - 159 + 197 = 0, -4*w - s*n + 32 = 0. Factor -1/4*d**4 + 15*d - 5/2*d**3 - w - 13/4*d**2.
-(d - 1)**2*(d + 6)**2/4
Factor 496*a + 0*a**4 + 4*a**4 - 136*a**3 + 45637*a**2 - 45281*a**2.
4*a*(a - 31)*(a - 4)*(a + 1)
Let z(c) be the first derivative of 35*c**2 + 44*c**2 - 3 - 8*c**4 - c**3 - 4*c**5 - 16*c - 63*c**2 + 13*c**3. Find d, given that z(d) = 0.
-2, -1, 2/5, 1
Let x(p) = -278*p**3 - 278*p**2 + 29*p + 5. Let w(y) = 3618*y**3 + 3612*y**2 - 376*y - 66. Let o(v) = 6*w(v) + 76*x(v). Determine a so that o(a) = 0.
-1, -4/29, 1/5
Let f = -8096/3 + 2700. Let j(s) be the first derivative of f*s**3 + 3 + 0*s - 8*s**2. Factor j(y).
4*y*(y - 4)
Suppose 0 = 3*g + 15, -d = 4*d + 2*g - 15. Suppose 2*l = d*l. Factor -15*x + l*x - 26*x - 64 - 4*x**2 + 9*x.
-4*(x + 4)**2
Let u(h) = -h**2 + 23*h + 126. Let j be u(27). Suppose -b = -j*b + 34. Suppose x**4 + 1/3*x**5 + 1/3*x - b*x**2 + 1 - 2/3*x**3 = 0. What is x?
-3, -1, 1
Let c be (-5)/6 - (-2726)/564. Suppose -r = -4*z + 17, 18 = c*z - 3*r + r. Find h, given that -8/5*h - 2/5*h**z + 0 + 6/5*h**3 + 0*h**2 = 0.
-1, 0, 2
Let z(b) be the third derivative of 29*b**2 + 0*b**3 - 1/720*b**6 - 17/360*b**5 - 1/9*b**4 + 0 + b. Factor z(k).
-k*(k + 1)*(k + 16)/6
Suppose -4*y + 242 + 22 = 0. What is h in 13*h**2 + 48 - 21*h**2 + 14*h + 12*h**2 - y*h = 0?
1, 12
Suppose -2*v**5 + 480*v - 61*v**3 - 12*v**2 + 48*v**2 - 20*v**4 + 168*v + 6*v**5 - 95*v**3 = 0. Calculate v.
-3, 0, 2, 9
Let w(j) be the second derivative of j**5/20 + j**4/4 - 19*j**3 + 104*j**2 - 1207*j. Factor w(h).
(h - 8)*(h - 2)*(h + 13)
Suppose -4*a + 2*d - 5 = -3, -21 = -3*a - 3*d. Let w be (25/5 - 5) + (-4)/(-2). Factor w*c**2 + 7*c**4 + 20*c - a*c**2 - 12*c**4 - 15*c**3.
-5*c*(c - 1)*(c + 2)**2
Find d such that -105 + 5/4*d**4 + 10*d**3 + 185*d - 365/4*d**2 = 0.
-14, 1, 2, 3
Let b(q) be the third derivative of -q**6/660 + 51*q**5/22 - 48641*q**4/44 - 146689*q**3/33 + 1271*q**2. Factor b(m).
-2*(m - 383)**2*(m + 1)/11
Let z(f) be the third derivative of -f**6/480 - f**5/4 - 19*f**4/32 + 59*f**3/12 + 3972*f**2. Suppose z(g) = 0. Calculate g.
-59, -2, 1
Let l(h) = 3*h**5 + 2*h**3 + 5*h**2. Let k(g) = -4*g**5 - 3*g**3 - 7*g**2. Let q(s) = -s**3 + 2*s + 5. Let f be q(0). Let b(z) = f*k(z) + 7*l(z). Factor b(y).
y**3*(y - 1)*(y + 1)
Let z(y) be the third derivative of y**7/24 + y**6/18 - y**5/6 + 47*y**4/8 - 215*y**2. Let b(g) be the second derivative of z(g). Factor b(m).
5*(3*m + 2)*(7*m - 2)
Let m(l) = -13*l**2 + 22*l - 11. Let n(f) = -11 + 29 - 19 + f**2 + 2*f**3. Let c(b) = 2*m(b) + 2*n(b). Factor c(o).
4*(o - 3)*(o - 2)*(o - 1)
Let 0 + 7/4*z**5 - 3/2*z**2 - 3*z**4 + 0*z - 25/4*z**3 = 0. What is z?
-1, -2/7, 0, 3
Let v(c) = 35*c**2 + 18*c - 35. Let x(a) = 48*a**2 + 16*a - 36. Let z(b) = -4*v(b) + 3*x(b). Find p such that z(p) = 0.
2, 4
Let o(n) = -n + 1. Let g be 12/10*(2 - 3 - 4). Let f(i) = -5*i + i + 3 + 0*i**2 - i**2. Let j(m) = g*o(m) + 2*f(m). Factor j(x).
-2*x*(x + 1)
Let j = -421967/3 + 140656. Factor 16/3 - j*l**2 + 0*l.
-(l - 4)*(l + 4)/3
Let y(o) = 3*o**2 - 5*o + 1. Let s be y(2). Suppose 2*j**3 - j**3 - 4*j**s + 22*j**5 - 21*j**4 + 2*j**5 = 0. Calculate j.
-1/8, 0, 1
Let p(y) = -y + 18. Let x be p(13). Suppose 5*i**5 + i**4 - 6*i - 4*i**x + 9*i**3 - 4*i**5 + 2*i**4 - 3*i**2 = 0. Calculate i.
-1, 0, 1, 2
Let h(f) be the first derivative of f**5/70 - f**4/21 - 5*f**3/21 + 6*f**2/7 - 210*f - 208. Let u(m) be the first derivative of h(m). Find k such that u(k) = 0.
-2, 1, 3
Let i be ((-5593)/235 + 24)*20. Suppose -3*j**3 + 6 + 3*j - 45/8*j**2 - 3/8*j**i = 0. What is j?
-4, -1, 1
Let b be (-28)/(-10) - 96/120. Suppose 0 = 4*w + b*s - 10, 115*w - 114*w = 2*s. Factor 4/3 - w*f + 2/3*f**2.
2*(f - 2)*(f - 1)/3
Let g(q) be the third derivative of q**7/7560 - q**6/360 + q**5/45 + q**4/12 - 11*q**3/6 + 12*