i be (-17 - l)*(-2 - 0). Solve -8*m**4 - 7*m + 20*m**2 - 8*m**5 - i*m**3 + 3*m + 5*m**4 + 31*m**4 = 0.
0, 1/2, 1
Suppose -3*t + 9*y - 63 = 0, 439*y + 30 = 2*t + 442*y. Factor 3/5*r**2 - 336/5 + 24*r - 3/5*r**t.
-3*(r - 4)**2*(r + 7)/5
Let c = -679 - -699. Let s(z) be the third derivative of 1/400*z**6 + 1/2100*z**7 + 0*z**5 + 0*z**3 + 0*z - c*z**2 + 0*z**4 + 0. Factor s(w).
w**3*(w + 3)/10
Let l = 5327/31908 - 3/10636. Let u(o) be the first derivative of 0*o**5 + 2/3*o**3 + 0*o + 0*o**2 - l*o**6 + 3/4*o**4 + 7. Factor u(y).
-y**2*(y - 2)*(y + 1)**2
Let q(c) = 301*c**2 - 9*c. Let n(p) = 299*p**2 - 10*p. Let b(z) = 4*n(z) - 5*q(z). Factor b(i).
-i*(309*i - 5)
What is u in 10*u**2 - u**5 - 16328 + 7*u**3 - 4*u**4 + 16328 = 0?
-5, -1, 0, 2
Determine g so that 4604/3*g - 2/3*g**2 - 2649602/3 = 0.
1151
Let m(k) be the first derivative of k**6/15 + 3*k**5/5 - 7*k**4/6 - 36*k - 216. Let j(u) be the first derivative of m(u). Factor j(n).
2*n**2*(n - 1)*(n + 7)
Let s(x) be the second derivative of 3/140*x**5 + 66*x + 9/14*x**2 + 0 - 1/14*x**3 - 3/28*x**4. Factor s(p).
3*(p - 3)*(p - 1)*(p + 1)/7
Suppose 7*n = 51 - 37. Find z, given that 0*z**n - 18*z - z**3 + 0*z**3 - 1 + z**2 + 19*z = 0.
-1, 1
Let l(r) = -4*r**2 - 4*r + 2. Let f(b) = 6*b**2 + b**2 + 2676*b - 2668*b - 4. Let x(p) = -6*f(p) - 11*l(p). Solve x(y) = 0.
1
Let c be (16/(-40))/((-3)/(-20)*-4). Let m(d) be the first derivative of 2*d + 10 + c*d**3 + 2*d**2. Find b such that m(b) = 0.
-1
Let j = 7071/4036 - 2/1009. Let h(a) = -14*a**2 - 672*a - 658. Let u be h(-47). Factor -j*z + 1/4*z**3 + u*z**2 - 3/2.
(z - 3)*(z + 1)*(z + 2)/4
Let w(s) be the first derivative of -2*s**5/55 - 10*s**4/11 - 84*s**3/11 - 196*s**2/11 + 686*s/11 + 1061. Factor w(r).
-2*(r - 1)*(r + 7)**3/11
Let u(q) be the second derivative of 1/4*q**5 + 5/4*q**4 - 6 + 0*q**2 - 3*q + 0*q**3. Factor u(j).
5*j**2*(j + 3)
Let t be (2/(-3))/(6/(252/(-119)) + 9/6). Let x be -1*(1 - 1)/(-2). Find g such that 1/2*g**2 + x*g - t = 0.
-1, 1
Solve -10/13*a**4 + 2*a**2 + 54/13*a**3 + 96/13 - 2/13*a**5 - 164/13*a = 0.
-8, -2, 1, 3
Let f = -25156 + 25158. Let h(k) be the second derivative of 0*k**f + 32*k - 8/3*k**3 + 0 + 1/3*k**4. Factor h(l).
4*l*(l - 4)
Let d be (-2)/5 + 37/((-2183)/(-944)). Factor -3/5*v**2 + d + 33/5*v.
-3*(v - 13)*(v + 2)/5
Let b(a) be the second derivative of -a**7/7560 + 7*a**6/1080 - 29*a**4/6 - 2*a + 3. Let o(i) be the third derivative of b(i). Find u such that o(u) = 0.
0, 14
Let f(b) = -b**3 - 1. Let r(z) = 15*z**3 + 10*z**2 + 15*z + 20. Suppose 0 = -8*m + 5*m + 75. Suppose m = 4*c - 55. Let l(t) = c*f(t) + r(t). Solve l(h) = 0.
-1, 0, 3
Let s(m) be the first derivative of 3/20*m**5 + 72 - 15/4*m**3 + 0*m - 27/2*m**2 + 3/8*m**4. Determine t, given that s(t) = 0.
-3, 0, 4
Let 450/17*o**2 - 154/17*o**3 + 148/17 - 446/17*o + 2/17*o**4 = 0. Calculate o.
1, 74
Suppose 68*x - 90 = 23*x. Find d, given that -5*d**5 + d - 45*d**3 - 12*d - 15*d**x + 25*d**4 + 50*d**2 + d = 0.
0, 1, 2
What is f in 50/3*f**4 + 1006*f**2 + 2072/3*f + 740/3*f**3 + 392/3 = 0?
-7, -2/5
Let o(s) = 5*s**2 - 540*s + 14592. Let b(a) be the second derivative of 5*a**4/12 - 90*a**3 + 14595*a**2/2 + 171*a. Let l(y) = 4*b(y) - 5*o(y). Factor l(f).
-5*(f - 54)**2
Let w = -296 + 298. Solve 5 + 25 + 6 + 10*j**2 - 14*j - 12*j**w - 20 = 0.
-8, 1
Let i(a) be the third derivative of a**8/16800 + a**7/6300 - 7*a**4/24 + 12*a**2 + 2*a. Let u(r) be the second derivative of i(r). Factor u(l).
2*l**2*(l + 1)/5
Let u = -356696/5 + 71340. Determine w, given that 108/5*w - u*w**2 + 0 = 0.
0, 27
Let v be (411/(-12))/(3/(-12)). Suppose -2*o - 5*i = o - v, 3*i - 223 = -5*o. Factor 10*s**4 + o*s**2 - 20*s**3 + 46*s**2 - 100*s**2 + 15*s + 5*s**5.
5*s*(s - 1)**2*(s + 1)*(s + 3)
Factor -570*n + 0 - 332/3*n**2 + 2/3*n**3.
2*n*(n - 171)*(n + 5)/3
Let z(t) be the third derivative of -t**7/70 - 7*t**6/80 + 7*t**5/20 - 5*t**4/16 - 3*t**2 + 302. Let z(o) = 0. What is o?
-5, 0, 1/2, 1
Let c(j) be the second derivative of 28*j**2 + 1/3*j**4 + 0 - 47*j - 10*j**3. Factor c(p).
4*(p - 14)*(p - 1)
Let m(c) be the second derivative of -c**4/42 + 7*c**3/3 - 42*c**2 - 3969*c. Factor m(t).
-2*(t - 42)*(t - 7)/7
Let l(f) be the third derivative of f**6/540 + 3*f**5/10 + 81*f**4/4 + 49*f**3/6 - f**2 - 2. Let s(j) be the first derivative of l(j). Solve s(u) = 0 for u.
-27
Let p(u) = u**2 + 8*u + 127. Let f be p(-12). Let g be ((-4)/(-21))/(50/f). Factor -16/15*k - 8/15 + g*k**2.
2*(k - 2)*(5*k + 2)/15
Let n = 440977/8 - 55122. Suppose n*k**2 - 5/2 + k = 0. Calculate k.
-10, 2
Let w = -56383 + 338299/6. Solve -w*i**5 + 0 + 1/6*i**3 + 0*i + 0*i**2 + 0*i**4 = 0.
-1, 0, 1
Let t(l) be the first derivative of 42*l + l**3 - 99 - 45/2*l**2. Find s such that t(s) = 0.
1, 14
Let c(j) = -14*j - 431. Let k be c(-31). Find y, given that -78 - 132 + k*y**2 + 201*y - 102*y = 0.
-35, 2
Let t(s) be the third derivative of 2*s**7/945 - 4*s**6/135 + s**5/9 + 2*s**4/27 - 40*s**3/27 + 595*s**2. Suppose t(j) = 0. What is j?
-1, 2, 5
Let i(b) be the second derivative of -19/9*b**3 + 116*b - 10/3*b**2 - 4/9*b**4 - 2 + 1/30*b**5. Factor i(c).
2*(c - 10)*(c + 1)**2/3
Let t(v) = -5*v**2 + 57*v - 20. Let k be t(11). Let 45*w**k + 188*w**3 - 30*w - 11*w**2 + 21*w**2 + 5*w**4 - 218*w**3 = 0. What is w?
0, 1, 2, 3
Let r(i) be the third derivative of -i**6/40 + 823*i**5/20 - 410*i**4 + 1638*i**3 + 7*i**2 - 32. Determine f, given that r(f) = 0.
2, 819
Let l(g) be the first derivative of 32*g**2 + 80*g**4 + 0*g + 20*g**5 - 304/3*g**3 - 133. Solve l(d) = 0.
-4, 0, 2/5
Let u be -3 + (1 - -4)/(7 - (2 + 4)). Let q(w) be the second derivative of 23/60*w**4 + 7*w + 2/3*w**3 + 7/100*w**5 + 0 + 2/5*w**u. Let q(n) = 0. Calculate n.
-2, -1, -2/7
Let y(l) be the third derivative of -2*l + 1/30*l**5 + 0 + 34/3*l**3 + 24*l**2 + 19/12*l**4. Find s, given that y(s) = 0.
-17, -2
Suppose -5*q = k + 766 - 3311, 0 = -k. Let s = q - 506. Solve -2*o**s - 10/3*o + 2/3 + 14/3*o**2 = 0 for o.
1/3, 1
Suppose 2*c = -0*c + 4*c. Suppose x - 5*r + 7 = c, 5*r - 4 - 12 = -2*x. Factor -9*d**2 - 54*d + 12 - 6*d**3 + 28*d**3 + 5*d**x + 30*d.
3*(d + 1)*(3*d - 2)**2
Let o(n) be the third derivative of -n**5/12 + 105*n**4/8 - n**2 - 195. Let o(y) = 0. Calculate y.
0, 63
Let l(z) = z**2 - z + 2. Let u(w) = -w**2 + 3*w + 1. Let t(c) = 6*c**2 - 8*c + 22. Let r(f) = t(f) - 4*u(f). Let q(n) = 12*l(n) - r(n). Factor q(j).
2*(j + 1)*(j + 3)
Let n(k) be the second derivative of -k**6/420 - k**5/105 + k**4/12 - 4*k**3/21 + 7*k**2/2 - k + 3. Let x(i) be the first derivative of n(i). Solve x(w) = 0.
-4, 1
Factor 2164/9*o + 4/9*o**2 + 2864/3.
4*(o + 4)*(o + 537)/9
Let w be ((-184)/(-828) + 184/630)/((-4)/(-30)). Let 12/7 + 31/7*z**3 - 40/7*z + 9/7*z**5 + w*z**2 - 39/7*z**4 = 0. What is z?
-1, 2/3, 1, 3
Let c be (18*3/84)/(24/28). Let l be 1/3*-2 - 1271/(-246). Find x, given that c*x**2 - l + 15/4*x = 0.
-6, 1
Let u(j) be the second derivative of -j**7/210 - j**6/40 - 45*j**2/2 + 16*j - 2. Let i(p) be the first derivative of u(p). Solve i(x) = 0 for x.
-3, 0
Let i = -383363 - -383369. Suppose 3/4*r**2 - 99/4 - i*r = 0. Calculate r.
-3, 11
Let r(m) be the third derivative of -23/5*m**3 + 91/40*m**4 + 0 - 114*m**2 + 0*m - 1/200*m**6 - 11/25*m**5. Factor r(o).
-3*(o - 1)**2*(o + 46)/5
Let m(g) = 89*g**2 + 415*g - 829. Let i(o) = 38*o**2 + 208*o - 415. Let q(k) = -7*i(k) + 3*m(k). What is v in q(v) = 0?
2, 209
Let n(l) be the third derivative of l**7/42 + l**6/3 - 163*l**5/12 + 745*l**4/12 - 120*l**3 + 2*l**2 + 739*l. Factor n(k).
5*(k - 8)*(k - 1)**2*(k + 18)
Let c = -1254467 + 1254470. Factor 1/3*d**c + 0 - 4/3*d + 0*d**2.
d*(d - 2)*(d + 2)/3
Solve 275/3*n**4 + 5*n**3 + 10*n - 275/3*n**2 + 0 - 15*n**5 = 0 for n.
-1, 0, 1/9, 1, 6
Let r = -547978/3 - -182660. Factor -242/3 + 44/3*k - r*k**2.
-2*(k - 11)**2/3
Let k(i) be the first derivative of -i**6/720 - 5*i**5/24 + i**3 - 16*i + 291. Let d(z) be the third derivative of k(z). Solve d(v) = 0 for v.
-50, 0
Let m(n) be the first derivative of n**6/18 + 14*n**5/15 - 17*n**4 - 138*n**3 - 279*n**2/2 + 756*n + 4365. Find u, given that m(u) = 0.
-21, -3, 1, 12
Let 272 + 30*m**3 - 2/3*m**4 + 196*m**2 + 1208/3*m = 0. Calculate m.
-2, 51
Let m(b) be the second derivative of b**4/84 - 40*b**3/21 + 177*b**2/2 + 10553*b. Factor m(i).
(i - 