1)**2/17
Let a(w) = -w**3 + 8*w**2 + 8*w + 2. Let j be a(7). Suppose -335 = -2*o - 5*l, o + 4*l - j = 62. What is u in -26*u + 61*u + 36 + 133*u - 75*u**3 + o*u**2 = 0?
-2/5, 3
Find d, given that -10648/21*d - 2/21*d**4 - 836/7*d**2 - 152/21*d**3 + 13310/21 = 0.
-55, -11, 1
Let u(q) = 3*q**3 - 14*q**2 + 9*q + 14. Let a be ((112/12)/(-7))/((-8)/30). Let i(f) = -f**3 - 2*f. Let y(w) = a*u(w) + 20*i(w). Factor y(t).
-5*(t - 1)*(t + 1)*(t + 14)
Let b(f) be the third derivative of 0*f**4 + 1/300*f**6 + 0 - 1/150*f**5 + 0*f**3 + 0*f + 38*f**2. Factor b(j).
2*j**2*(j - 1)/5
Let r(b) = b**3 - 37*b**2 - 34*b + 79. Let x be r(38). Let z be ((-253)/x)/(-23)*3*2. Determine g so that 0 - 2/7*g**4 - 4/7*g**3 + z*g**5 + 0*g**2 + 0*g = 0.
-1, 0, 2
Let p = -1145 + 1151. Let d(b) be the second derivative of -4/3*b**3 - 1/3*b**4 + 0 + 8*b + p*b**2. Factor d(s).
-4*(s - 1)*(s + 3)
Let y be -10 - (39 - 0)*11/(-33). Factor -34/3*m - 2/3*m**y - 20/3 - 16/3*m**2.
-2*(m + 1)*(m + 2)*(m + 5)/3
Let r(s) be the first derivative of 5*s**3/3 + 465*s**2 - 935*s - 2708. Factor r(k).
5*(k - 1)*(k + 187)
Let i(u) be the first derivative of -u**8/840 + u**6/36 - u**4/3 - u**3 + 4*u + 267. Let r(l) be the third derivative of i(l). Find v, given that r(v) = 0.
-2, -1, 1, 2
Let 255*h - 119*h + 7*h**2 - 6*h**2 - 111*h = 0. Calculate h.
-25, 0
Let k(x) be the third derivative of x**8/1176 - x**7/147 + x**6/70 + 281*x**2. Factor k(l).
2*l**3*(l - 3)*(l - 2)/7
Let q be (-2)/6 + -16*2/(-6). Suppose q*r = 0, -3*r + 3 = -2*o + 13. Factor 5*c**3 + 4*c**4 - 29*c**2 + 0*c**4 + c**o + 31*c**2.
c**2*(c + 1)**2*(c + 2)
Suppose 12 = s + 16, -3*m + 8 = 4*s. Suppose 2*l = -5*u + 3*u, -40 = -4*l + 4*u. Factor -360*z**2 - 410*z - 108 - 52*z**4 + 86*z - 4*z**l + m*z**4 - 184*z**3.
-4*(z + 1)**2*(z + 3)**3
Let l(s) be the second derivative of -s**6/105 + 3*s**5/10 - 20*s**4/7 + 100*s**3/21 + 381*s + 1. Let l(h) = 0. What is h?
0, 1, 10
Suppose -4*i + 6 = o, 4 = o - 3*o. Let n(x) be the first derivative of 3*x**i + 0*x + 20*x**4 - 46/3*x**3 + 32/5*x**5 + 4. Suppose n(q) = 0. What is q?
-3, 0, 1/4
Let g(m) be the second derivative of -m**4 + 188*m**3/3 + 330*m**2 - 10*m - 3. Factor g(w).
-4*(w - 33)*(3*w + 5)
Let n(c) be the first derivative of c**4/6 + 988*c**3/9 - 1988*c**2/3 + 1328*c + 643. Suppose n(g) = 0. Calculate g.
-498, 2
Let z be (0 - 8/(-6))/((-46)/(31 - 77)). Let y = 29 + -86/3. Let 1/3*w**4 + 0 + z*w - 4/3*w**2 - y*w**3 = 0. What is w?
-2, 0, 1, 2
Let q(p) be the second derivative of 1681/2*p**2 + 0 + 1/48*p**4 + 110*p + 41/6*p**3. Factor q(d).
(d + 82)**2/4
Let r(y) be the first derivative of -4*y**3/21 - 412*y**2/7 + 4220*y/7 - 2759. Factor r(q).
-4*(q - 5)*(q + 211)/7
Let l(m) be the third derivative of m**7/210 + m**6/40 - 5*m**5/12 + 7*m**4/8 - 39*m**2 + 2. Factor l(q).
q*(q - 3)*(q - 1)*(q + 7)
Let c(w) be the first derivative of -8*w**5/5 - 3*w**4 + 64*w**3/3 - 30*w**2 + 16*w + 1286. Determine l, given that c(l) = 0.
-4, 1/2, 1
Suppose -5*p + 16 = -14*y + 15*y, 2*y - 2 = 0. Let -6*f**5 + f**5 + 3*f**p + 6*f**5 - 4*f**3 = 0. Calculate f.
-1, 0, 1
Find z, given that 441/2*z**5 - 96 - 651/2*z**4 + 144*z - 432*z**3 + 354*z**2 = 0.
-1, -2/3, 4/7, 2
Let a(l) be the third derivative of -l**9/15120 + l**8/1680 - l**5/60 + 2*l**4 + 44*l**2. Let s(q) be the third derivative of a(q). Factor s(m).
-4*m**2*(m - 3)
Let q be ((-1)/5 - 68496/120) + 1. Let w = q + 1145/2. Factor 0 - 1/2*r**2 - w*r.
-r*(r + 5)/2
Let l(u) be the third derivative of u**7/14 + 1053*u**6/40 + 55753*u**5/20 + 32655*u**4/8 - 11025*u**3 - 71*u**2 + 2*u - 14. Find j, given that l(j) = 0.
-105, -1, 2/5
Let x(d) be the third derivative of d**7/1400 + d**6/40 - 9*d**3 - 203*d**2. Let g(j) be the first derivative of x(j). What is y in g(y) = 0?
-15, 0
Let y(h) be the second derivative of 16*h + 1/8*h**4 + 1 - 9*h**3 + 243*h**2. Factor y(k).
3*(k - 18)**2/2
Suppose 4*c + 0*c = 2*b + 296, 4*c + b - 296 = 0. Let r = c - 72. Factor -32*h**5 - 4*h**3 + h**2 - 15*h**4 - 11*h**3 - 6*h**r + 27*h**5.
-5*h**2*(h + 1)**3
Suppose -2*n - 2*w = -0*w, -3*n + 16 = -w. Let z = n + -2. Find f such that 3*f**3 + f**4 + 487*f**z - 484*f**2 + 0*f**4 + f + 0*f = 0.
-1, 0
Let f be (2*(-1 + -1))/((-20 + 17)/1). Let z(s) be the first derivative of -4/15*s**5 + f*s**4 - 20/9*s**3 + 0*s + 4/3*s**2 + 2. Solve z(t) = 0 for t.
0, 1, 2
Let l(d) = d**3 - d**2 + d - 20. Let v(u) = -u**4 - 205*u**3 - 15129*u**2 - 342135*u + 746316. Let x(y) = 18*l(y) - 2*v(y). Suppose x(f) = 0. Calculate f.
-72, 2
Let f = 28 + -26. Let i be ((-1)/f)/((-2)/4 - 0). Let r(o) = -o**2 + o + 1. Let b(p) = -10*p**2 - 2*p + 24. Let n(z) = i*b(z) - 12*r(z). Factor n(h).
2*(h - 6)*(h - 1)
Let v be 6/8 - (-1394)/328. Let u(h) be the first derivative of -1/13*h**4 + 0*h - 2/13*h**3 + 0*h**2 + 2/65*h**v + 10. Factor u(m).
2*m**2*(m - 3)*(m + 1)/13
Let d(p) = -17*p**4 + 6*p**3 + 8*p**2 - 16*p - 1. Let q(f) = 58*f**4 - 21*f**3 - 27*f**2 + 55*f + 3. Let h(x) = 17*d(x) + 5*q(x). Suppose h(z) = 0. What is z?
-1, 1, 2
Suppose -4*t - 1 = -5*j, -2*j + 14 = 45*t - 50*t. Let m be ((-3)/(45/6))/(t/8). Solve 2/5*r**4 + 0 + m*r**2 + 6/5*r**3 + 0*r = 0.
-2, -1, 0
Let v be (22620/(-1092) - -19)/((-6)/7). Determine c so that 6/11 - c - 28/11*c**v + 52/11*c**3 = 0.
-6/13, 1/2
Let d = 2049052/2945 + 48852/155. Factor -2/19*z**2 + 392/19*z - d.
-2*(z - 98)**2/19
Let i(s) = s**3 - 2*s**2 + 2*s - 1. Let q(d) = -2*d**5 + 101*d**4 - 1069*d**3 - 5333*d**2 + 2930*d - 7. Let w(n) = 21*i(n) - 3*q(n). Solve w(v) = 0.
-4, 0, 1/2, 27
Let s(x) be the third derivative of x**5/45 + 7*x**4/6 - 260*x**3/9 + 747*x**2. Solve s(p) = 0 for p.
-26, 5
Let -101 - 5*l**2 - 959 + 119*l - 39*l + 985*l = 0. Calculate l.
1, 212
Let y(q) be the second derivative of -q**4/48 + 103*q**3/6 - 1227*q**2/8 - 9503*q. Let y(z) = 0. Calculate z.
3, 409
Find a such that 14/5 + 101/5*a**2 + 709/5*a = 0.
-7, -2/101
Let i(n) be the second derivative of -10*n**4 + 25/3*n**3 + 1/21*n**7 + 11*n + 0*n**2 + 23/5*n**5 + 3 - 4/5*n**6. Find l, given that i(l) = 0.
0, 1, 5
Suppose -14*k + 2 = -13*k, -i - 5*k = -20. Factor -124*c**2 + 26*c + 100*c**2 + 4*c**3 + i*c.
4*c*(c - 3)**2
Let o(w) be the third derivative of -w**6/720 - 191*w**5/360 + 97*w**4/72 + 32*w**3/3 - 12*w**2 + 161. Solve o(t) = 0.
-192, -1, 2
Let -153/2*g + 1/4*g**2 + 23409/4 = 0. Calculate g.
153
Let n(y) be the third derivative of -13/180*y**5 - 1/180*y**6 - 1/4*y**3 + 1/420*y**7 + 0 - 30*y**2 + 0*y + 1/4*y**4. Determine l so that n(l) = 0.
-3, 1/3, 1, 3
Let q = 387718/155087 - 1/310174. Factor q*s**3 + 49/6*s + 1/6*s**4 + 21/2*s**2 + 0.
s*(s + 1)*(s + 7)**2/6
Let y(h) be the third derivative of 0*h**3 + 1/64*h**4 + 9*h + 4*h**2 + 0 - 1/160*h**5. Factor y(m).
-3*m*(m - 1)/8
Let w(v) = 2*v**3 + 26*v**2 - 3*v - 29. Suppose 0 = 2*s + 9*s + 143. Let i be w(s). Find r such that -i*r**2 - 4*r**3 + 23/4*r - 3/4 = 0.
-3, 1/4
Let w = 5576 + -5572. Let h(c) be the third derivative of 14*c**2 - 5/3*c**3 + 0 + 1/2*c**5 + 0*c + 35/24*c**w - 2/21*c**7 - 7/24*c**6. Solve h(x) = 0.
-2, -1, 1/4, 1
Suppose 4*p = -2*r + 20, 4*p - 4*r + 10 = 6*p. Let s be 6/4*((-3)/p - -1). Factor 0*z**3 - s*z**2 - 2/5*z + 1/5*z**4 + 0.
z*(z - 2)*(z + 1)**2/5
Solve 5*t - 239/2*t**3 + 12 - 157/2*t**2 - 87/2*t**4 + 9/2*t**5 = 0.
-1, -2/3, 1/3, 12
Suppose -5*h = 5*l - 3715, 35*h - 32*h + 2*l - 2230 = 0. Factor 1356*o**2 + 1936 + 239*o**2 - 5456*o + 36*o**4 + 1721*o**2 + h*o**3.
4*(o + 11)**2*(3*o - 2)**2
Determine b, given that -86*b**2 - 308 - 2*b**3 - 9*b - 639*b - 29*b**2 - 204 - 23*b**2 = 0.
-64, -4, -1
Let x(a) be the second derivative of -5*a**4 + 38*a**3/3 - 8*a**2 - 936*a. Solve x(i) = 0.
4/15, 1
Let z = 2120134/883385 - 2/176677. Factor -z*c**3 - 3/5*c + 6/5*c**4 + 2*c**2 - 1/5*c**5 + 0.
-c*(c - 3)*(c - 1)**3/5
Let c(j) be the first derivative of 4*j**5/35 - 12*j**4/7 + 16*j**3/21 + 384*j**2/7 + 1024*j/7 - 3125. Find n such that c(n) = 0.
-2, 8
Let n(p) be the second derivative of -p**6/1800 + 3*p**5/50 - 27*p**4/10 + p**3/3 - 33*p**2/2 + 52*p. Let z(l) be the second derivative of n(l). Factor z(b).
-(b - 18)**2/5
Let x(o) = 16 - 28 + 6 - 54 + 23*o**2 - 26*o**2 - 17*o. Let u(k) = 4*k**2 + 18*k + 56. Let w(f) = -5*u(f) - 6*x(f). Factor w(l).
-2*(l - 10)*(l + 4)
Let f(p) = -p**3 - 33*p**2 - 31*p + 33. Let i be f(-32). 