*u**2 - 60 + a*u + 138*u + u**2 = 0. Calculate u.
-6, 2/5
Suppose -y + 2*v + 1 = 6, -3*y + 25 = 2*v. Let j be (12/(-63)*-9)/((-5)/245*-7). Factor 7*m**5 + 60*m**3 + 8*m**2 + 45*m**4 + 2*m**y + m**5 + j*m**2.
5*m**2*(m + 2)**2*(2*m + 1)
Suppose -5*c - 38 = t, -3*t + 3*c - 24 = -t. Let v be (t/15)/((9/(-45))/1). Let -8/5*k**5 - v*k**4 + 0 - 32/5*k**3 - 6/5*k**2 + 4/5*k = 0. Calculate k.
-2, -1, 0, 1/4
Let u(c) = 334*c**2 + 1657*c - 60. Let a be u(-5). Factor -1/3*v + 3/2*v**3 - 1/6*v**2 + 0 + 13/6*v**4 + 5/6*v**a.
v*(v + 1)**3*(5*v - 2)/6
Let h(n) be the second derivative of n**6/30 - 4*n**5/5 + 13*n**4/2 - 24*n**3 + 81*n**2/2 + 2*n + 31. Factor h(u).
(u - 9)*(u - 3)**2*(u - 1)
Let i = -5467 + 16639/3. Let t = 1672/21 - i. Factor 2/21*v**2 + t - 8/21*v.
2*(v - 3)*(v - 1)/21
Let o(v) be the first derivative of -5*v**4/12 - 10*v**3/3 - 15*v**2/2 + 58*v + 8. Let s(k) be the first derivative of o(k). Let s(n) = 0. Calculate n.
-3, -1
Let i = 14 + -27. Let b = 13 + i. Let 8*v**2 + 2*v + 2*v**5 - 8*v**4 + 2*v**5 + b*v**4 - 6*v = 0. What is v?
-1, 0, 1
Let a(b) be the first derivative of -17/7*b**2 - 1/14*b**4 - 81 + 16/7*b + 20/21*b**3. Suppose a(z) = 0. Calculate z.
1, 8
Suppose 0 = 3*x + 20 - 35, 2*w - 5*x + 19 = 0. Let b be w*(-1)/2 - (-377)/174. Determine r, given that 8/3*r**2 + b*r**5 + 4*r**3 + 2/3*r + 8/3*r**4 + 0 = 0.
-1, 0
Let i(o) = -o**2 + 7*o - 8. Let d be i(4). Find t such that -32*t + 0*t**2 - 4 + 159*t**3 - t**2 + 76*t**3 - 300*t**4 - 19*t**d + 121*t**5 = 0.
-2/11, 1
Let l(v) be the third derivative of 1/420*v**7 + 0 + 334*v**2 + 0*v**4 + 0*v**3 + 1/40*v**6 + 0*v + 1/24*v**5. Let l(t) = 0. What is t?
-5, -1, 0
Let s(g) be the second derivative of 13*g**5/4 + 595*g**4/12 + 305*g**3/3 + 40*g**2 + g - 852. Factor s(l).
5*(l + 1)*(l + 8)*(13*l + 2)
Let y(b) = 3*b**4 + 41*b**3 - 234*b**2 + 571*b - 522. Let f(w) = 2*w**4 + 21*w**3 - 118*w**2 + 285*w - 262. Let a(o) = 15*f(o) - 9*y(o). Factor a(d).
3*(d - 8)*(d - 4)**2*(d - 2)
Factor -1/8*f**2 - 57/4 - 59/8*f.
-(f + 2)*(f + 57)/8
Let x(o) be the second derivative of -o**4/30 - 238*o**3/5 - 127449*o**2/5 + 543*o. Factor x(m).
-2*(m + 357)**2/5
Suppose -1/4*c**4 - 36*c**2 + 0 - 80*c - 21/4*c**3 = 0. What is c?
-8, -5, 0
Let h be (9/(-36))/(39/(-98228)). Let s = h - 627. Let -s*w**4 - 25/3*w**3 - 8/3 - 38/3*w**2 - 1/3*w**5 - 28/3*w = 0. What is w?
-2, -1
Let x(c) = -57*c**3 - 2160*c**2 + 9126*c - 9057. Let q(t) = -7*t**3 - 270*t**2 + 1140*t - 1132. Let g(i) = 33*q(i) - 4*x(i). Factor g(y).
-3*(y - 2)**2*(y + 94)
Find d such that -1/10*d**4 + 34/5*d**3 + 7*d**2 - 34/5*d - 69/10 = 0.
-1, 1, 69
Let a(w) be the third derivative of 1/900*w**6 + 0 + 0*w**5 + 0*w**3 - 1/45*w**4 - 39*w + 2*w**2. What is m in a(m) = 0?
-2, 0, 2
Let g(z) be the second derivative of -2*z**7/21 - 52*z**6/5 - 2088*z**5/5 - 7632*z**4 - 73440*z**3 - 388800*z**2 - 2635*z. Find v, given that g(v) = 0.
-30, -6
Let z(a) be the third derivative of 8*a**7/105 - 9*a**6/10 + 18*a**5/5 - 9*a**4/2 + 2560*a**2. Solve z(u) = 0 for u.
0, 3/4, 3
Let y be 5/(-2)*2424/(-30). Suppose 0*h - y = -4*h - 3*a, -5*h - 2*a + 249 = 0. Determine w so that -h*w + 6*w**2 + w**2 + w**3 + 53*w - 3*w**2 = 0.
-2, 0
Let c(o) = 3042*o**3 + 1726*o**2 + 242*o - 5. Let z(b) = 3042*b**3 + 1724*b**2 + 242*b - 4. Let t(f) = -4*c(f) + 5*z(f). Suppose t(x) = 0. What is x?
-11/39, 0
Let k(v) be the first derivative of v**3/3 + 146*v**2 + 21316*v - 1920. Factor k(g).
(g + 146)**2
Find j, given that 20 + 100*j**3 - 165*j**2 - 56/3*j - 8*j**5 + 215/3*j**4 = 0.
-2, -3/8, 1/3, 1, 10
Let j(i) be the third derivative of -1/36*i**5 + 0 - 1/405*i**6 + 0*i + 7*i**2 + 13/6*i**3 + 1/27*i**4. Let m(t) be the first derivative of j(t). Factor m(q).
-2*(q + 4)*(4*q - 1)/9
Solve -40000 - 3*x**5 - 26800*x + 2*x**5 + 627*x**4 - 1194*x**4 + 605*x**4 - 73*x**3 - 5164*x**2 = 0.
-4, 25
Factor 130 + b**2 - 3*b**2 - 653 - 132*b - 1655.
-2*(b + 33)**2
Let k be (915 - 980) + 1371/21. Find d such that -318/7*d**2 + 16854/7*d + k*d**3 - 297754/7 = 0.
53
Let c(f) be the first derivative of 3*f**5/5 + 45*f**4/4 - 16*f**3 + 638. Let c(o) = 0. Calculate o.
-16, 0, 1
Let i be (25 + 1)/(947 - 945). Factor -133/4*u**2 - 1 - i*u.
-(7*u + 2)*(19*u + 2)/4
Let x(z) be the first derivative of 32*z**2 + 180 + 60*z + 4/3*z**3. Solve x(q) = 0 for q.
-15, -1
Find o such that -500*o**2 - 14252*o - 20244*o + 5*o**3 + 26010 + 46481*o = 0.
-2, 51
Let f be (-27)/(-2)*(-2)/(-18)*6. Let z = f - 3. Determine m so that z*m**4 + m**2 - 2*m**4 + m**5 - 20*m + m**3 - 15*m**2 + 0*m**3 - 8 = 0.
-2, -1, 2
Let m = 120565/2207 - 841481371/15649837. Let p = m + -2/1013. Factor 2/7*s**2 - p*s + 0.
2*s*(s - 3)/7
Let a(w) be the third derivative of w**7/280 - 569*w**6/160 - 1141*w**5/80 - 571*w**4/32 + 3674*w**2. Factor a(h).
3*h*(h - 571)*(h + 1)**2/4
Factor 936/7 + 102*q - 3/7*q**3 - 225/7*q**2.
-3*(q - 4)*(q + 1)*(q + 78)/7
Let p = 1665557/15 + -111037. Let m be ((-4)/(-30))/(2/4). Suppose -2/5*d - p*d**2 - m = 0. What is d?
-2, -1
Let b(l) be the second derivative of -1/165*l**6 - 36/11*l**2 + 63 + 7/55*l**5 + 28/11*l**3 - 61/66*l**4 - 2*l. What is k in b(k) = 0?
1, 6
Let j be 48/((-2)/1) - 107088/(-3864). Factor -4 - j*w + 2/7*w**2.
2*(w - 14)*(w + 1)/7
Let r(l) = 318*l**4 - 570*l**3 + 208*l**2 + 58*l + 4. Let c(v) = -v**4 + v**3 + 4*v**2 - v. Let n(b) = -6*c(b) + r(b). Factor n(i).
4*(i - 1)**2*(9*i + 1)**2
Let x = 31 + -29. Suppose -n + x*v = 0, -2*n - 9 = -4*n - 5*v. Find q such that -8*q + q**n + 6*q + 4*q + 0*q - 3 = 0.
-3, 1
Let i(s) be the first derivative of 0*s**2 + 4*s + 0*s**5 + 4/27*s**3 - 4 + 2/135*s**6 - 1/9*s**4. Let g(j) be the first derivative of i(j). Factor g(n).
4*n*(n - 1)**2*(n + 2)/9
Let r be -4 + (-64)/(-12) - 6/(-9). Let w be (-8)/(r + -6)*(-48)/(-2). Factor w*x - 34*x**2 + 16*x**2 + 288 + 20*x**2.
2*(x + 12)**2
Let k be (14/(-56))/((-8)/96). Let y(h) be the first derivative of 3 - 2/9*h**k - 1/6*h**2 - 1/12*h**4 + 0*h. Factor y(o).
-o*(o + 1)**2/3
Let r(i) be the second derivative of 0*i**2 - 27/80*i**5 + 1/6*i**3 - 1 - 1/4*i**4 + 3/56*i**7 - 1/60*i**6 - 10*i. Determine j, given that r(j) = 0.
-1, 0, 2/9, 2
Let z(o) = -20*o**2 + 740*o + 790. Let l(d) be the first derivative of -d**3 + 53*d**2 + 113*d + 92. Let j(b) = -15*l(b) + 2*z(b). Factor j(h).
5*(h - 23)*(h + 1)
Let x(v) = v**2 - v + 2. Let q(h) = h**2 + 216*h + 223. Let o(a) = 5*q(a) - 10*x(a). Suppose o(b) = 0. What is b?
-1, 219
Suppose 360/7*g + 0 - 2/7*g**4 - 18/7*g**3 + 344/7*g**2 = 0. What is g?
-18, -1, 0, 10
Let f = 339 - 93. Let k = 246 - f. Factor -u**2 - 1/2*u + u**4 + 1/2*u**5 + k*u**3 + 0.
u*(u - 1)*(u + 1)**3/2
Factor 72/13*b**2 + 76/13 - 150/13*b + 2/13*b**3.
2*(b - 1)**2*(b + 38)/13
Let x(b) be the first derivative of 4*b**3/3 - 972*b**2 + 236196*b - 225. Suppose x(k) = 0. Calculate k.
243
Let u(t) = t**2 + 44*t + 19. Let s be u(-40). Let m = -421/3 - s. Let -2/3*n + 0 + m*n**2 = 0. What is n?
0, 1
Let m(p) be the third derivative of 0 + 1/72*p**4 + 0*p + 1/108*p**5 - 1/1890*p**7 + 0*p**3 + 1/1080*p**6 + 53*p**2. What is u in m(u) = 0?
-1, 0, 3
Find k, given that 656/11*k**4 + 568/11*k**2 - 984/11*k + 42/11*k**5 + 1878/11*k**3 - 288/11 = 0.
-12, -3, -1, -2/7, 2/3
Let o(i) be the third derivative of i**8/504 - 2*i**7/105 - 89*i**6/180 - 49*i**5/15 - 95*i**4/9 - 56*i**3/3 - 7756*i**2. Suppose o(f) = 0. Calculate f.
-3, -2, -1, 14
Let t = -695 - -698. Let y be t/(-15*2)*-3. Suppose -y*j**2 + 1/10 + 2/5*j**4 + 2/5*j**3 - 1/5*j = 0. What is j?
-1, 1/2
Let o(z) be the third derivative of -5/21*z**3 + 0 + z + 81*z**2 + 19/84*z**4 + 2/105*z**5. Let o(q) = 0. What is q?
-5, 1/4
Factor 8 - 64/5*k + 26/5*k**2 - 2/5*k**3.
-2*(k - 10)*(k - 2)*(k - 1)/5
Let h(j) be the third derivative of -j**6/300 + 433*j**5/50 - 140833*j**4/20 + 421201*j**3/15 - 425*j**2. Let h(s) = 0. What is s?
1, 649
Let v(u) = -u**2 + 28*u + 380. Let k be v(36). Factor -89*g**2 - g**3 + 6*g + 1 - 9*g + k*g**2.
-(g - 1)**3
Let f be (-2)/(-5) - 144/(-70) - 3152/(-7880). Suppose -4/7*w**5 + 16/7*w + f*w**2 - 12/7*w**3 + 0 - 20/7*w**4 = 0. What is w?
-4, -1, 0, 1
Let l = -9 + 13. Determine s, given that 5*s**l - s**4 + 0*s**4 - 6*s**4 + 2*s**2 = 0.
-1, 0, 1
Let 120*w**2 + 90*w + 15*w**3 + 65*w**2 - 80*w**2 + 172*w**2 - 2*w**2 = 0. Calculate w.
-18, -1/3, 0
Let r(m) be the