7*w**3 - 40/7*w + 39/7*w**2 + 0.
w*(w - 1)*(w + 40)/7
Suppose -361*v**3 - 4*v**4 + 73*v**3 - 9*v**3 - 2240*v - 175*v**3 - 2708*v**2 = 0. Calculate v.
-112, -5, -1, 0
Let v(o) be the first derivative of -105 - 6/7*o**3 + 0*o + 4/7*o**2 + 1/7*o**4. Let v(r) = 0. Calculate r.
0, 1/2, 4
Suppose 1347*a**3 + 0*a**2 - 7*a**2 + 44 + 13*a**2 - 5388*a - 68 = 0. Calculate a.
-2, -2/449, 2
Let n(u) be the third derivative of u**6/720 - 299*u**5/90 + 119599*u**4/48 - 39601*u**3/2 - 6*u**2 + 768*u. Factor n(v).
(v - 597)**2*(v - 2)/6
Let g = 290 - 554. Let y = 529/2 + g. Factor -y*a + 0 + 0*a**3 + a**2 + 1/2*a**5 - a**4.
a*(a - 1)**3*(a + 1)/2
Let m(i) be the second derivative of -i**6/180 - i**5/30 - i**4/12 - i**3/9 + 27*i**2/2 - 102*i. Let p(k) be the first derivative of m(k). Factor p(b).
-2*(b + 1)**3/3
Let g be 12 + 2 + (13 + -5 - 18). Let m(w) be the first derivative of 1/3*w**g - 2/15*w**5 + 0*w**3 + 0*w - 11 + 0*w**2. Factor m(u).
-2*u**3*(u - 2)/3
Let r(s) be the first derivative of 4*s - 52 - 1/12*s**4 + 7/9*s**3 - 8/3*s**2. Determine o so that r(o) = 0.
2, 3
Let c(x) be the second derivative of -5*x**4/4 - 953*x**3/2 + 573*x**2 - 5*x + 956. Factor c(b).
-3*(b + 191)*(5*b - 2)
Let r be (-44 - -44) + (164 - (-1)/1). Let s be 52/(-390) + 52/r. Factor 2/11*l + 0*l**2 + 0 - s*l**3.
-2*l*(l - 1)*(l + 1)/11
Suppose -123*s = -118*s + 4*i - 17, -3*s - 4*i + 7 = 0. Let m = 2/143 + 50/143. Factor 2/11 - m*u**2 - 2/11*u + 2/11*u**4 - 2/11*u**s + 4/11*u**3.
-2*(u - 1)**3*(u + 1)**2/11
Let y(u) = 974*u - 5842. Let k be y(6). Factor 6 - 15/4*p + 3/8*p**k.
3*(p - 8)*(p - 2)/8
Let d(a) = 4*a**4 - 101*a**3 + 50*a**2 + 166*a - 93. Let s(w) = 2*w**4 - 41*w**3 + 20*w**2 + 66*w - 37. Let j(f) = -5*d(f) + 13*s(f). Solve j(k) = 0 for k.
-1, 2/3, 1, 4
Let g(m) be the third derivative of -1/20*m**6 + 1/70*m**7 - 76*m**2 + 1/4*m**4 + 0*m**3 + 0 + 0*m - 1/20*m**5. Factor g(j).
3*j*(j - 2)*(j - 1)*(j + 1)
Let d be 4/(-88)*1/(13 + (-848)/64). Factor 0*i**2 - d*i**5 + 0 + 0*i - 4/11*i**4 + 0*i**3.
-2*i**4*(i + 2)/11
Let z be (8 - 2)*((2 - 5) + 4). Suppose -n + 2*b = -197, z*n + 3*b - 422 = 4*n. Factor -n - 60*q - 3*q**2 + 2 - 97.
-3*(q + 10)**2
Let x(q) be the first derivative of 1/12*q**4 + 0*q**2 - 1/18*q**6 - 1/15*q**5 + 0*q - 59 + 1/9*q**3. Factor x(s).
-s**2*(s - 1)*(s + 1)**2/3
Let z(a) be the second derivative of a**7/21 - 11*a**6/30 + 4*a**5/5 + a**4/6 - 3*a**3 + 9*a**2/2 + 653*a. What is k in z(k) = 0?
-1, 1, 3/2, 3
Let j(p) be the first derivative of 2*p**3/15 + 547*p**2/5 + 2865. What is q in j(q) = 0?
-547, 0
Let c(v) be the first derivative of -3*v**4/4 + 23*v**3 - 90*v**2 - 6334. Find a such that c(a) = 0.
0, 3, 20
Let a(s) be the first derivative of -2*s**5/5 - 181*s**4/2 - 16556*s**3/3 - 7740*s**2 + 32400*s + 4651. Suppose a(t) = 0. What is t?
-90, -2, 1
Let w(v) be the second derivative of -v**5/5 + 71*v**4/3 - 544*v**3/3 + 536*v**2 + 3*v - 33. Let w(u) = 0. What is u?
2, 67
Suppose 108 = 219*a - 215*a. Factor -41*k - 21*k - 14*k - a*k - 11*k + 3249 + k**2.
(k - 57)**2
Let z(p) = -p**3 + p**2 - 3*p + 22. Let i be z(0). Factor -i*j - 24*j**2 - 7 + 54*j**4 - 46*j**4 + 3 + 2*j**3.
2*(j - 2)*(j + 1)**2*(4*j + 1)
Let t(w) be the second derivative of 5*w**7/42 - 11*w**6/3 + 18*w**5 + 895*w**4/6 + 2035*w**3/6 + 360*w**2 - 2694*w. Determine u so that t(u) = 0.
-1, 9, 16
Let y be (-4)/(-56)*-4*(-63)/18*(-179 + 179). Find b such that 12/7*b**3 + 12/7*b + y + 22/7*b**2 + 2/7*b**4 = 0.
-3, -2, -1, 0
Factor x**2 - 175/3 + 1/3*x**3 - 15*x.
(x - 7)*(x + 5)**2/3
Let p be 6/(-10) + 53*667/7685. Find q such that 48/7 + p*q + 2/7*q**2 = 0.
-12, -2
What is s in -2143 + 431071*s**3 - 3684*s + 473 - 2*s**4 - 2360*s**2 - 431419*s**3 = 0?
-167, -5, -1
Let m be (258/(-172))/(7*(-21)/700). Factor -m*i - 26/7 - 22/7*i**2 + 2/7*i**3.
2*(i - 13)*(i + 1)**2/7
Factor 660/7 - 2/7*c**2 - 326/7*c.
-2*(c - 2)*(c + 165)/7
Let a(k) = -3*k**2 + 4*k**2 + 3 + 5*k**2 - 5*k**2. Let t(c) = 2*c**2 - c + 6. Let o(i) = 9*a(i) - 4*t(i). Find b, given that o(b) = 0.
-3, -1
Let y(l) be the second derivative of -l**4/72 + 10*l**3/9 - 12*l**2 - 1700*l. Factor y(a).
-(a - 36)*(a - 4)/6
Let p(n) = -n**3 + 14*n**2 + 33*n - 13. Let t be p(16). What is f in 8*f**t - 201*f + 98*f + 99*f - 4*f**5 = 0?
-1, 0, 1
Let p(r) = 171*r. Let z be p(17). Find i, given that 2*i**3 + 18*i**2 + z - 2907 = 0.
-9, 0
Let o = 4827/7 + -4798/7. Find b, given that 1/7*b**2 - o*b + 0 = 0.
0, 29
Let b(j) = -j**3 - 45*j**2 - 47*j - 40. Let a be b(-44). Factor a*m**2 + 44 - 1104*m**3 + 6 + 2*m**4 + 120*m + 1128*m**3.
2*(m + 1)**2*(m + 5)**2
Let a be (11520/(-675) + 17)/(7/(-370)). Factor 74/21 - 2/21*w**3 + 2/21*w - a*w**2.
-2*(w - 1)*(w + 1)*(w + 37)/21
Let d = -20 - -23. Let z(p) = -3*p**2 - 7*p - 2. Let f(j) = -2*j**2 - 8*j - 3. Let s(y) = d*z(y) - 2*f(y). Factor s(k).
-5*k*(k + 1)
Let z(n) be the first derivative of 4*n**3/3 + 64*n**2 + 960*n - 3477. Let z(f) = 0. Calculate f.
-20, -12
Let w(m) = -m**2 - 9*m - 44. Let v(q) = q**2 + 8*q + 43. Suppose 15*c + 56 + 19 = 0. Let b(j) = c*v(j) - 6*w(j). Solve b(n) = 0.
-7
Suppose 9*s - 41 = -7*s + 23. Let i(j) be the third derivative of -1/450*j**5 + 0 + 1/45*j**3 + 5*j**2 + 0*j**s + 0*j. Factor i(u).
-2*(u - 1)*(u + 1)/15
Let t(d) = -2*d**3 - 215*d**2 - 3941*d + 588. Let l be t(-84). Determine i, given that 2/9*i**4 + 0*i**2 + 2/3*i**3 + l + 0*i = 0.
-3, 0
Let t(a) be the first derivative of a**3/12 - 66*a**2 + 17424*a + 1582. Determine o so that t(o) = 0.
264
Let d(k) = k**3 + 10*k**2 + 16*k + 65. Let a be d(-9). Let j be 66/84 - 0 - 2/4. Let 8/7 + 4/7*z**a - 2*z + j*z**3 = 0. What is z?
-4, 1
Let z(a) = a**2 - 1. Let w(i) = -5*i**2 + 7*i - 14. Let t(r) = w(r) + 4*z(r). Let q(v) = -2*v**2 + 13*v - 37. Let h(l) = 6*q(l) - 13*t(l). Factor h(y).
(y - 12)*(y - 1)
Find i such that -5*i**3 + 47*i - 84*i + 37*i - 168*i**2 - 132*i**2 = 0.
-60, 0
Let r(s) be the first derivative of -219 - 1/3*s**4 + 0*s**3 + 0*s**2 + 0*s + 1/63*s**6 + 26/105*s**5. Determine z, given that r(z) = 0.
-14, 0, 1
Factor 1473*s**3 + 920*s**2 - 595*s**3 - 724*s**3 - 24*s.
2*s*(s + 6)*(77*s - 2)
Factor -31*d - 28*d + 0*d**2 + 2860 - d**2 - 2540.
-(d - 5)*(d + 64)
Let t(w) be the second derivative of -w**6/255 + 231*w**5/170 - 5929*w**4/34 + 456533*w**3/51 + 3293*w - 2. Suppose t(d) = 0. Calculate d.
0, 77
Let a(p) be the third derivative of p**7/350 + 11*p**6/100 + 7*p**5/5 + 5*p**4 - 3*p**2 + 132*p. Find v, given that a(v) = 0.
-10, -2, 0
Let o(v) be the second derivative of v**7/147 - 13*v**6/105 - 29*v**5/7 - 131*v**4/21 + 289*v**3/21 + 275*v**2/7 - 3262*v + 1. What is q in o(q) = 0?
-11, -1, 1, 25
Let m be (7 - (-172)/(-24)) + (-213)/18. Let i be (m/(-10))/(-3*126/(-675)). Let i + 36/7*t**2 - 3/7*t**4 + 6/7*t**3 + 6*t = 0. Calculate t.
-1, 5
Let y = 64793/6435 + -367/715. Determine c, given that 4/9 - 2*c - 10/3*c**4 - y*c**3 - 26/3*c**2 = 0.
-1, 2/15
Let w(s) be the second derivative of s**5/4 + 25*s**4/6 + 155*s**3/6 + 75*s**2 - 8*s - 101. Find q such that w(q) = 0.
-5, -3, -2
Suppose 6*f + 538 = 7*f - 3*g, -3*f - 2*g = -1636. Let f*i**2 - 36*i - 52 - 541*i**2 + 13 = 0. What is i?
-1, 13
Let m(q) be the third derivative of -q**5/300 - 413*q**4/120 + 83*q**3/3 + 1540*q**2 + 2*q + 2. Determine a, given that m(a) = 0.
-415, 2
Let g = -972767 + 7782139/8. What is b in 3/2 + 15/8*b**3 + 3/8*b**2 - 3/8*b**4 - g*b**5 - 3*b = 0?
-2, 1
Let t(o) be the third derivative of -7/90*o**5 + 1/315*o**7 + 0*o + 68*o**2 + 1/180*o**6 - 2/3*o**3 + 0 - 13/36*o**4. Factor t(c).
2*(c - 3)*(c + 1)**2*(c + 2)/3
Let b(l) be the third derivative of -l**6/600 - l**5/150 + 109*l**4/120 + 11*l**3/3 + 11*l**2 - 61*l - 2. Determine x, given that b(x) = 0.
-11, -1, 10
Let 4136/5*t + 6/5*t**4 - 1176 + 8218/5*t**2 - 1792/5*t**3 = 0. What is t?
-1, 2/3, 5, 294
Let d = 363/2 + -2477/14. Let y = 14535 + -14531. Solve 0*f**2 - d*f**3 + 16/7*f**y + 0 - 2/7*f**5 + 0*f = 0 for f.
0, 4
Let a be (-15)/1584*7486/(-190). Let h = a - -1/528. Let -3/8*k**2 + h*k + 3/4 = 0. What is k?
-1, 2
Let n(l) be the third derivative of 13*l**6/600 - l**5/25 - l**4/120 - 1266*l**2. Suppose n(m) = 0. What is m?
-1/13, 0, 1
Suppose 10*u = 9082 + 7638. Let k = u + -15046/9. Determine g, given that k*g**3 - 2/3*g**2 + 0 + 4/9*g = 0.
0, 1, 2
Let u(l) be the first derivative of 0