 Find o such that 36/17 + 2/17*o**x - 18/17*o = 0.
3, 6
Let t(q) be the second derivative of q**5/70 - q**4/42 - 4*q**3/7 - 271*q + 12. Factor t(z).
2*z*(z - 4)*(z + 3)/7
Let j(o) be the first derivative of 8*o**5/25 - 41*o**4/10 + 4*o**3/5 + 41*o**2/5 - 4*o + 493. Let j(c) = 0. Calculate c.
-1, 1/4, 1, 10
Let k be (-3 + (-12)/(-8))/(1/242). Let v = 366 + k. Find r such that 4*r**2 - 6*r - 2/3*r**v + 8/3 = 0.
1, 4
Let y be (-8)/(1 - 113/111). Determine q so that 66*q - 444 - 3*q**2 + y = 0.
0, 22
Let y(f) be the first derivative of -f**4/6 + 4*f**3/3 + 19*f**2/3 - 16*f - 4568. Let y(s) = 0. Calculate s.
-3, 1, 8
Let c(y) = -2*y**2 + 4*y - 2. Let s be c(1). Suppose s = -4*z + p - 3*p + 10, -2*z = -4*p. Factor 78*a - 27*a - a - 5*a**z.
-5*a*(a - 10)
Let a be 177/(-295) + 1/(-5)*-53. Suppose 5*n + a - 10 - 17*n - 4*n**3 + 26*n**2 = 0. Calculate n.
0, 1/2, 6
Suppose -t = -4, -5*c = -3*t - 102 + 9. Let i be 16/4 - (-8 + 9). Factor 307*q**3 - 295*q**3 - c*q**5 + 36*q**4 + i*q - 3*q.
-3*q**3*(q - 2)*(7*q + 2)
Suppose 5*v - 33 = -5*p - 48, 0 = -3*p - 5*v - 19. Let o(t) be the first derivative of -25 + 1/7*t**p - 1/14*t**4 - 2/21*t**3 + 2/7*t. Factor o(u).
-2*(u - 1)*(u + 1)**2/7
Let n(y) be the second derivative of 32/3*y**3 + 1/10*y**5 - 58*y + 28*y**2 + 0 + 11/6*y**4. Factor n(t).
2*(t + 2)**2*(t + 7)
Factor 1/3*r**5 + 0*r + 0 + 0*r**2 + r**4 + 0*r**3.
r**4*(r + 3)/3
Let j(a) = -114*a - 18582. Let s be j(-163). Let c(g) be the third derivative of 1/55*g**5 + 0*g**3 + 34*g**2 - 1/660*g**6 + 0*g**4 + s + 0*g. Factor c(n).
-2*n**2*(n - 6)/11
Let f(b) be the second derivative of b**6/72 + b**5/8 - 65*b**3/6 - 3*b + 28. Let l(i) be the second derivative of f(i). Factor l(h).
5*h*(h + 3)
Let c = -119 - -119. Suppose 3*g = -3*w + 15, -g + 5*w - 19 + 6 = c. Suppose 33/2*a - 21/2*a**g + 3/2*a**3 - 15/2 = 0. What is a?
1, 5
Solve -146*o + 8366*o**2 + 228*o - 8*o**4 + 339*o + 130*o**3 - 112 + 169*o - 8966*o**2 = 0.
1/4, 1, 7, 8
Let y(h) be the second derivative of 7*h**7/2 - 84*h**6/5 - 81*h**5/5 - 4*h**4 + h + 96. Factor y(m).
3*m**2*(m - 4)*(7*m + 2)**2
Solve n**3 - 35*n**2 + 14*n**3 + 239*n**2 + 111*n + 66 - 144 = 0 for n.
-13, -1, 2/5
Suppose 20 = 5*b + d, -24*b + 28*b + d - 17 = 0. Factor -2/7 + 2/7*p**4 + 0*p**2 - 4/7*p + 4/7*p**b.
2*(p - 1)*(p + 1)**3/7
Let c(t) be the third derivative of 1/5*t**5 - 1/30*t**6 + 0*t + 10/3*t**3 - 206*t**2 + 3/2*t**4 + 0. Let c(d) = 0. Calculate d.
-1, 5
Suppose -3*a + 0*a + 1285 = -4*o, -304 = o + 5*a. Let n = o - -321. Determine x, given that -6/5*x**n + 2/5*x**3 + 0 + 0*x = 0.
0, 3
Factor -51/2*v + 114 - 3/4*v**2.
-3*(v - 4)*(v + 38)/4
Let s(b) be the first derivative of -b**3/12 - 1231*b**2/8 - 615*b/2 - 12145. Factor s(t).
-(t + 1)*(t + 1230)/4
Let x be (-80)/180 + 1670/(-9). Let j = -554/3 - x. Factor -j*q + 2*q**2 + 0 - 2/3*q**3.
-2*q*(q - 2)*(q - 1)/3
Let n(g) be the third derivative of -g**7/2520 - g**6/270 + g**5/72 + 57*g**3/2 + 175*g**2. Let q(j) be the first derivative of n(j). Factor q(t).
-t*(t - 1)*(t + 5)/3
Suppose 0 = 516*s - 206*s - 2480. Factor -12*a - 1/2*a**3 - s - 9/2*a**2.
-(a + 1)*(a + 4)**2/2
Let j = 27 + -17. Suppose -16 = -j*x + 14. Suppose 2*y**3 + 36*y**2 + 3*y**x + 35*y + 5*y**3 - y**2 + 10 = 0. What is y?
-2, -1, -1/2
Let w(x) be the third derivative of -x**7/2100 + 137*x**6/1200 - 267*x**5/25 + 2628*x**4/5 - 14976*x**3 + x**2 + x + 1102. Suppose w(p) = 0. Calculate p.
24, 65
Let n(h) = 7*h**3 - 2*h**2 - 3*h + 2. Let x(f) = f**3 - f**2 + f + 1. Let w be 3/(-5) + 91/35 + -3. Let a(t) = w*n(t) + 2*x(t). Suppose a(g) = 0. What is g?
-1, 0, 1
Factor -281*k**2 + 877*k**2 - 290*k**2 - 305*k - 306*k**2 + 5*k**3 - 900.
5*(k - 9)*(k + 4)*(k + 5)
Let l(w) be the first derivative of -2/105*w**5 - 75 + 2/63*w**3 + 0*w**2 + 0*w**4 + 0*w. Solve l(f) = 0.
-1, 0, 1
Let d be (2/6)/((-2 - 136/(-64))*4). Let k(w) be the second derivative of 1/3*w**4 - 4*w**2 - d*w**3 - 8*w + 0. Suppose k(r) = 0. What is r?
-1, 2
Suppose -170*x - 80*x + 442 = -308. Let t(p) be the first derivative of -8/3*p - 5/6*p**4 - 2 + 26/9*p**x - 4/3*p**2. Let t(a) = 0. Calculate a.
-2/5, 1, 2
Suppose 20*f - 72 + 12 = 0. Let y(j) be the second derivative of 0 + 1/2*j**4 - 1/3*j**f - 15*j + 0*j**2 + 2/5*j**5. Factor y(m).
2*m*(m + 1)*(4*m - 1)
Suppose -15/4 + 1/4*z**4 - 4*z + 4*z**3 + 7/2*z**2 = 0. Calculate z.
-15, -1, 1
Let s(x) be the third derivative of -x**7/525 + 113*x**6/300 - 111*x**5/50 + 331*x**4/60 - 22*x**3/3 + 3*x**2 + 3*x - 38. Factor s(c).
-2*(c - 110)*(c - 1)**3/5
Let l(a) = a**5 + a**3 + a**2 + 2*a + 1. Let v(z) = -16*z**5 - 176*z**4 + 3444*z**3 - 22028*z**2 + 60392*z - 61452. Let s(b) = 12*l(b) + v(b). Factor s(h).
-4*(h - 4)**4*(h + 60)
Suppose -1189*h + 1255*h - 198 = 0. Let v(w) be the first derivative of 2/15*w**h + 0*w - 2/25*w**5 - 1/5*w**2 + 4 + 1/10*w**4. Factor v(o).
-2*o*(o - 1)**2*(o + 1)/5
Let p(i) be the third derivative of 1/48*i**4 + 0 + 0*i - 20*i**2 + 1/180*i**5 - 1/720*i**6 + 0*i**3. What is t in p(t) = 0?
-1, 0, 3
Suppose 6*v**4 + 212/7*v**2 - 2/7*v**5 - 148/7*v**3 - 138/7*v + 34/7 = 0. Calculate v.
1, 17
Let r be (26 - (-5957)/(-230))*-5*0*3/(-9). Factor 24/13*u + r + 2/13*u**2.
2*u*(u + 12)/13
Let r be (13 - -10 - 23)/(2*-2). Let s = 11/2 - 3. Determine l, given that 0*l + 1/2*l**2 + s*l**3 + r = 0.
-1/5, 0
Let y = 123343 + -123343. Factor 3/4*x**2 + 0*x + 27/8*x**3 + y + 3/2*x**4.
3*x**2*(x + 2)*(4*x + 1)/8
Let m(v) be the third derivative of -v**5/120 - 199*v**4/96 + 25*v**3/6 - 6632*v**2. Factor m(t).
-(t + 100)*(2*t - 1)/4
Let n be -2*66/(-1188)*(-30)/(-28). Let k(l) be the second derivative of 10/3*l**4 - 12*l + 5*l**2 + 35/6*l**3 + 0 - 1/3*l**6 + 1/2*l**5 - n*l**7. Factor k(h).
-5*(h - 2)*(h + 1)**4
Let h(p) be the third derivative of p**6/60 - 3*p**5/5 - 189*p**4/4 + 3528*p**3 + p**2 - 1038. Find b, given that h(b) = 0.
-24, 21
Let t(m) be the first derivative of -8/39*m**3 + 1/26*m**4 + 3/13*m**2 + 5 + 0*m. Suppose t(y) = 0. What is y?
0, 1, 3
Let g be 8/(-4)*(-4 - (7 - 2 - 8)). Factor 2/3*n**g - 16/3 + 4/3*n.
2*(n - 2)*(n + 4)/3
Let a(f) = -f**2 - 11*f + 14. Let c be a(-12). Suppose -4*w + w = 3*q, 3*w = c*q - 15. Solve -6*k**2 + 2*k**2 - 2*k + 9*k**q - 11*k**3 = 0.
-1, 0
Factor -2*a**3 - 256*a + 3*a**3 - 177*a + 137*a**2 + 327 - 32*a**2.
(a - 3)*(a - 1)*(a + 109)
Factor 3466*a - 10471*a - 13*a**2 + 3488*a - a**3 + 3477*a.
-a*(a + 5)*(a + 8)
Determine b, given that -5*b**2 - 162 + 277 - 20*b + 185 = 0.
-10, 6
Let d be -1 - -2 - -2 - (-5 - -3). Suppose -s + 4 = 0, -d*r + s + 4*s - 10 = 0. Factor -8*u**r - 4 - 6*u + 9*u**2 - 3*u**2.
-2*(u + 1)*(u + 2)
Let v(g) = g**3 - 13*g**2 + 14*g + 23. Let a be v(11). Let l be 2/(((-30)/a)/3). Determine c so that 6*c**3 + 13*c + 4*c**4 + 2*c**3 - l*c = 0.
-2, 0
Let p = 16343 - 16343. Let z(t) be the second derivative of 16*t + 28*t**2 + 1/42*t**4 + p + 4/3*t**3. Find d such that z(d) = 0.
-14
Let p(v) = -v**3 + 2*v**2 - v + 1. Let x(m) be the first derivative of -7*m**4/4 + 10*m**3/3 + 9*m**2/2 + 17*m - 35. Let g(c) = 5*p(c) - x(c). Factor g(h).
2*(h - 3)*(h + 1)*(h + 2)
Let t(b) be the second derivative of b**4/15 - 1018*b**3/15 - 204*b**2 - 2112*b. Factor t(q).
4*(q - 510)*(q + 1)/5
Let d = 23635/4 + -5907. Let r(z) be the second derivative of -3/20*z**5 - d*z**4 - 27/2*z**2 - 21*z + 0 - 15/2*z**3. Find m such that r(m) = 0.
-3, -1
Suppose -5*p + 99 + 81 = 0. Let c be (-54)/(-42)*p/27. Factor -2/7*h**2 + c + 2/7*h.
-2*(h - 3)*(h + 2)/7
Let u be (8 - 1 - 1) + -5. What is s in -219*s - 330*s**4 - 14 - u + 198*s**3 - 75 + 420*s**2 + 21*s**5 = 0?
-1, -2/7, 1, 15
Factor -5*w + 26/5 - 1/5*w**2.
-(w - 1)*(w + 26)/5
Suppose 4 = -2*t, 4*t = -0*s + s - 14. Let u(r) = 4*r**2 + 38*r + 78. Let v(b) = -12*b**2 - 115*b - 233. Let o(y) = s*v(y) + 17*u(y). What is a in o(a) = 0?
-9, -2
Let s be ((-54)/8)/((-87)/1740). Factor -42 - 12 + 18*h**2 + 112 + 192 - 13*h**2 - s*h.
5*(h - 25)*(h - 2)
Let n(j) be the third derivative of -j**8/84 - 2*j**7/21 - 4*j**6/15 - 4*j**5/15 + 149*j**2 + 2*j. Factor n(r).
-4*r**2*(r + 1)*(r + 2)**2
Suppose t - 5*o - 135 + 115 = 0, 0 = 4*t + 5*o + 20. Let r be t/(-6 + 20 + -8). Factor -1/8*i**3 - 1/2 + 3/8*i**2 + r*i.
-(i - 2)**2*(i + 1)/8
Let c be 1100/(-187) - (8/17)/4. Let f be (-18)/c*1 - 9/(-21). Determine s, given that 72/7 - f*s + 