ird derivative of s**7/945 + s**6/540 - 11*s**5/135 - 10*s**4/27 + 3*s**2 + 11*s. Determine r, given that m(r) = 0.
-4, -2, 0, 5
Let o(k) be the third derivative of k**8/10080 + k**7/3780 - k**6/1080 - k**5/180 + k**4/2 + 13*k**2. Let b(f) be the second derivative of o(f). Factor b(z).
2*(z - 1)*(z + 1)**2/3
Let t(p) = 15*p**2 - 172*p. Let i(m) = -111*m**2 + 1203*m. Let q(g) = 2*i(g) + 15*t(g). Factor q(r).
3*r*(r - 58)
Let j(x) be the second derivative of x**8/2240 - 7*x**6/240 + 3*x**5/20 - 7*x**4/3 - 18*x. Let b(l) be the third derivative of j(l). Let b(v) = 0. What is v?
-3, 1, 2
Let r(q) be the second derivative of 0 + 8*q - 5/4*q**2 - 5/8*q**3 + 1/16*q**5 + 0*q**4. Factor r(y).
5*(y - 2)*(y + 1)**2/4
Let f(n) be the first derivative of -n**4/32 - 109*n**3/24 - 20*n**2 - 53*n/2 + 264. Factor f(s).
-(s + 1)*(s + 2)*(s + 106)/8
Let k(l) be the second derivative of -2*l**5/25 - 17*l**4/30 - 16*l**3/15 - 3*l**2/5 + 25*l - 2. Factor k(u).
-2*(u + 1)*(u + 3)*(4*u + 1)/5
Let g = 9 + -6. Solve -20*w**2 + 20*w**4 - 5*w + 0*w**g + 2*w**3 + 3*w**3 = 0.
-1, -1/4, 0, 1
Suppose -5*k + 124 - 29 = -3*o, 4*o + 2*k + 170 = 0. Let b = o + 42. Factor 4/9 - 10/9*j**3 - 2*j + 8/3*j**b.
-2*(j - 1)**2*(5*j - 2)/9
Let r(h) = 9*h**3 + 41*h**2 + 45*h + 10. Let v(q) = -17*q**3 - 81*q**2 - 89*q - 20. Let s(p) = -10*r(p) - 6*v(p). Solve s(j) = 0.
-5, -1, -1/3
Suppose -17*l - 23*l = -41*l. What is v in l - 5*v**2 + 0*v + 5/2*v**3 = 0?
0, 2
Let p(h) = h**2 - h + 3. Let n be p(0). Let y be (0 + 2 + -2)*(1218/42)/87. Suppose 6/5*w**4 + 4/5*w**2 + y*w - 2*w**n + 0 = 0. Calculate w.
0, 2/3, 1
Suppose -5*c + 23 = 4*x - 2*x, -3*x + 4*c = 0. Factor -1 - x + 24*d + 2*d**3 - 6 - 12*d**2 - 5.
2*(d - 2)**3
Let y be ((-6)/(-10) + 0)*(-625)/(-1125). Let l(z) be the second derivative of -4/3*z**3 + y*z**4 + 0 - 1/30*z**5 + 3*z + 8/3*z**2. What is q in l(q) = 0?
2
Suppose 4*d + 308 = 3*o, -3*d + d - 5*o - 154 = 0. Let q = -77 - d. Solve q*u + u**2 + 0 - 1/2*u**3 = 0 for u.
0, 2
Let z(p) be the second derivative of 5*p**4/12 + 85*p**3/2 + 153*p. Factor z(t).
5*t*(t + 51)
Let l(f) be the first derivative of -f**6/15 - 14*f**5/25 - 9*f**4/5 - 8*f**3/3 - 8*f**2/5 + 465. Let l(s) = 0. What is s?
-2, -1, 0
Suppose -2*v + 185 - 199 = -k, -k + 3*v = -20. Let 1/4*z**3 - 3/4*z**k + 0 + 1/2*z = 0. What is z?
0, 1, 2
Let y(h) be the second derivative of 0*h**2 + 0 + 0*h**3 - 2/15*h**4 + 6*h - 2/75*h**6 - 3/25*h**5. Factor y(m).
-4*m**2*(m + 1)*(m + 2)/5
Let l(m) be the third derivative of -m**5/30 - 8*m**4 - 768*m**3 + 86*m**2. Suppose l(d) = 0. Calculate d.
-48
Let d(z) = 25*z - 8. Let y be d(2). Let f be (-15)/12*y/(-35). Find b, given that 3/2*b - f*b**2 + 3/2 - 3/2*b**3 = 0.
-1, 1
Let k = -74 - -76. Determine v, given that -4*v**k + 5*v**4 + 6*v**2 - 7*v**2 = 0.
-1, 0, 1
Let x = -3130/589 + 168/31. Suppose 2/19*o**3 - x*o**4 + 4/19*o**2 + 0*o + 0 = 0. Calculate o.
-1, 0, 2
Let z(h) be the first derivative of 3*h**2 + h**3 - 2*h**3 + 0*h**2 - 30 - 12*h**2. Find d such that z(d) = 0.
-6, 0
Let s(i) be the second derivative of 0*i**2 - i**3 + 0 - 6*i + 1/4*i**4. Factor s(f).
3*f*(f - 2)
Factor 31240*z**3 + 21136*z**2 + 4096*z - 1389*z**4 + 1952*z**5 + 1259*z**5 + 256 - 549*z**5 - 18455*z**4.
2*(z - 4)**2*(11*z + 2)**3
Let j = 552 - 1574. Let p be j/(-140) + 2/(-4). Factor 26/5*w**4 - 1/5*w - 2/5 + 7/5*w**5 + p*w**3 + 16/5*w**2.
(w + 1)**4*(7*w - 2)/5
Let n(t) = t + 3. Let i be n(0). Suppose 9*y - i = 8*y. Factor -7*z**2 - z**3 - 4 - z**2 - z**y - 10*z.
-2*(z + 1)**2*(z + 2)
Factor -54*l - 45*l + 63*l - 3*l**2.
-3*l*(l + 12)
Let w(u) be the second derivative of u**7/168 - u**6/24 + u**5/12 + 9*u**3/2 - 19*u. Let y(c) be the second derivative of w(c). Factor y(i).
5*i*(i - 2)*(i - 1)
Let c = 6 - 4. Let d = 1566 + -1566. Solve d*r + 5/2*r**3 + 5/2*r**c + 0 = 0.
-1, 0
Let x(b) be the second derivative of -b**4/96 + b**3/48 - 59*b. Let x(i) = 0. What is i?
0, 1
Let b be 2/(-8)*14*2. Let s(t) = 109*t**2 - 95*t - 6. Let r(f) = -217*f**2 + 190*f + 13. Let a(o) = b*s(o) - 4*r(o). Factor a(c).
5*(c - 1)*(21*c + 2)
Let x(k) = 10*k**2 - 21*k + 2. Let f be x(2). Suppose 4*u = -2*w + 14, 0*w + 2*w + 3*u - 12 = f. Determine h so that 6*h - 6 + 2/9*h**w - 2*h**2 = 0.
3
Suppose 2*z - 3 = z. Let k(r) = r**2 - r - 2. Let b(c) = c**2 - c - 7. Let o(x) = -1. Let m(l) = -b(l) + 5*o(l). Let u(j) = z*k(j) + 4*m(j). Factor u(q).
-(q - 2)*(q + 1)
Let c(w) = -w**3 - 8*w**2 - 11*w - 4. Let o be c(-7). Determine a, given that -4*a**4 - o*a**3 + 0*a**4 - 21*a**3 + 47*a**3 + 2*a**5 = 0.
0, 1
Factor 3*m**4 - 18*m**5 + 40*m**5 - 4*m**4 - 3*m**4 + 0*m**4.
2*m**4*(11*m - 2)
Factor -21*x + 66*x**2 + 10 - 35*x**2 - 17*x**2 - 3*x**3.
-(x - 2)*(x - 1)*(3*x - 5)
Let h(b) be the second derivative of -b**8/2240 + b**7/210 + b**6/240 - b**5/10 + 5*b**4/12 - 6*b. Let p(s) be the third derivative of h(s). Factor p(u).
-3*(u - 4)*(u - 1)*(u + 1)
Let p(j) be the third derivative of 1/270*j**5 + 5*j**2 + 0*j - 1/108*j**4 + 0 - 2/27*j**3. Factor p(z).
2*(z - 2)*(z + 1)/9
Let v(k) be the second derivative of -k**5/4 - 5*k**4/3 - 5*k**3/6 + 15*k**2 - 43*k. Let v(j) = 0. Calculate j.
-3, -2, 1
Suppose -1232*x + 1202*x + 90 = 0. Find a such that -2*a**2 - 8/3*a**x - 2/3*a**4 + 8/3 + 8/3*a = 0.
-2, -1, 1
Suppose 313*h - 336*h = -46. Solve -1/6*j + 1/6*j**h - 1/6 + 1/6*j**3 = 0.
-1, 1
Let v(r) be the first derivative of -r**4/22 - 2*r**3/33 + 143. Factor v(c).
-2*c**2*(c + 1)/11
Let s(z) = -z**4 - 2*z**2 + 2. Let d(v) = 2*v**4 + 2*v**3 + 2*v**2 - 2*v - 3. Let a(i) = -d(i) - s(i). Factor a(r).
-(r - 1)*(r + 1)**3
Let w be (2 - 7) + (9 - 168/60). What is q in -3/5*q + w*q**2 - 6/5 + 3/5*q**3 = 0?
-2, -1, 1
Let t be 6 - 9 - (-1 + -5). Let a(s) be the second derivative of 1/10*s**6 - s**t + 0 + 0*s**2 - 1/4*s**4 + 3/10*s**5 + 10*s. Factor a(r).
3*r*(r - 1)*(r + 1)*(r + 2)
Let h(r) = -7*r**4 + 37*r**3 - 128*r**2. Let n(c) = -3*c**4 + 18*c**3 - 64*c**2. Let w(p) = 4*h(p) - 10*n(p). Factor w(i).
2*i**2*(i - 8)**2
Let r be (213/142 - 8/10)*(-8)/(-28). Let r*d**2 + 0 + 2/5*d = 0. What is d?
-2, 0
Let d(i) be the third derivative of i**6/360 - 23*i**5/180 - 13*i**4/9 - 6*i**3 - i**2 - 152*i. Determine n, given that d(n) = 0.
-2, 27
Let o(s) be the third derivative of 0*s + 23*s**2 + 0*s**3 + 0 - 1/40*s**6 - 3/4*s**4 + 1/4*s**5. Find f, given that o(f) = 0.
0, 2, 3
Let b = 5 - 13. Let j(u) = -7*u**2 - 4*u - 3. Let i = 29 + -32. Let v(k) = 20*k**2 + 12*k + 8. Let x(d) = b*j(d) + i*v(d). Suppose x(y) = 0. What is y?
-1, 0
Suppose 0 = 82*m - 21*m. Solve m - 3/2*x**3 + 9/4*x + 15/4*x**2 = 0.
-1/2, 0, 3
Factor -1/4*k**2 - 45/2 + 23/4*k.
-(k - 18)*(k - 5)/4
Let o(q) be the second derivative of q**6 + 14/5*q**5 + 0*q**2 + 11/6*q**4 + 0 - 2/3*q**3 - 6*q. Find u such that o(u) = 0.
-1, 0, 2/15
Suppose -k + 5*d + 13 = 0, -d = 6*k - 3*k - 7. Find a such that -14*a**3 - 14*a**k - 25*a**2 + 2*a - 7*a + 8*a**3 = 0.
-1, -1/4, 0
Let o(t) be the second derivative of -t**9/7560 + t**8/672 - t**7/210 - 8*t**4/3 - 21*t. Let b(c) be the third derivative of o(c). Factor b(f).
-2*f**2*(f - 3)*(f - 2)
Let u(n) = -n**2 + 36*n + 117. Let b be u(39). Solve 3/4*v**5 + 0*v - 3/2*v**4 + 3/4*v**3 + 0*v**2 + b = 0 for v.
0, 1
Find z, given that 2/17*z**4 + 30/17*z**3 + 0 - 128/17*z + 96/17*z**2 = 0.
-8, 0, 1
Let -228/17*v - 114/17*v**2 + 8/17*v**3 + 64/17 = 0. What is v?
-2, 1/4, 16
Let v = -4061/8 + 4075/8. Factor v*f + 3/2 + 1/4*f**2.
(f + 1)*(f + 6)/4
Let q(f) = f**2 - 2*f + 2. Let n be (-3)/6 + (-2)/(-4). Let y be q(n). Solve 4*k + 9 + 8*k + 3*k**y + 0*k = 0 for k.
-3, -1
Let a be (-16)/((-125)/60 - 3/(-12)). Let d = -55 - -57. Solve 128/11 + 2/11*w**3 + a*w + 24/11*w**d = 0 for w.
-4
Let m(y) be the third derivative of -1/30*y**5 + 0 + 12*y**2 + 0*y**3 + 1/4*y**4 + 0*y. Determine q so that m(q) = 0.
0, 3
Factor -95*f**2 - 28*f**3 - 129*f**2 - 55*f + 7*f + 36*f**4.
4*f*(f - 3)*(f + 2)*(9*f + 2)
Find c such that -2/23*c**5 + 0*c + 8/23*c**4 + 38/23*c**3 + 28/23*c**2 + 0 = 0.
-2, -1, 0, 7
Let s(g) be the third derivative of -g**5/180 + g**4/3 + 25*g**3/18 + 30*g**2 + 2. Find m, given that s(m) = 0.
-1, 25
Find s, given that -60*s**5 - 26*s**4 + 12 - 115*s**4 - 63*s**3 + 58*s**2 + 108*s + 15*s**5 + 71*s**2 = 0.
-2, -1, -2/15, 1
Let z be (32/(-12))/(3/(-9)). Solve 10*l**2 - 3*l - l**2 -