*w + 9*w**2 + 3*w**3 + 2037 - 2046 - 144*w = 0 for w.
-3, -1, 1
Let h(b) be the first derivative of -170*b**2 - 205/4*b**4 + 100 + 5*b**5 + 415/3*b**3 + 100*b + 5/6*b**6. Factor h(t).
5*(t - 2)*(t - 1)**3*(t + 10)
Let q(v) be the third derivative of 0*v**5 - 1/1176*v**8 + 0*v**3 - 3*v - 2/735*v**7 + 19*v**2 + 0*v**4 + 0 + 1/140*v**6. Find r such that q(r) = 0.
-3, 0, 1
Factor 69/4*g**2 - 1491/8*g + 588 - 3/8*g**3.
-3*(g - 32)*(g - 7)**2/8
Let x be (-14)/1*3/(-8)*-148. Let p = x - -777. Let p*h + 0 + 1/2*h**4 + 1/2*h**5 - 1/2*h**2 - 1/2*h**3 = 0. What is h?
-1, 0, 1
Let w(o) = 8*o**2 - 649*o + 83. Let y be w(81). What is n in -64/7 + 32/7*n - 4/7*n**y = 0?
4
Let j(k) be the second derivative of 196/9*k**2 - 28/27*k**3 - 8*k + 1 + 1/54*k**4. Factor j(i).
2*(i - 14)**2/9
Let r be (3 - 1441/495)*(-1)/(-8). Let d(g) be the second derivative of -1/15*g**5 + 35*g + 0*g**2 - 1/9*g**3 + 5/36*g**4 + 0 + r*g**6. Factor d(s).
s*(s - 2)*(s - 1)**2/3
Let n be (-2)/(-5) - (-123)/960*-4. Let z = n - -863/560. Factor -2/7*h**2 + 12/7*h - z.
-2*(h - 5)*(h - 1)/7
Let v(m) = 2*m + 88. Let w(o) = -4*o**2 - 52*o - 928. Let q(c) = 10*v(c) + w(c). Suppose q(z) = 0. Calculate z.
-6, -2
Find j such that 2/7*j**2 - 128/7*j + 248/7 = 0.
2, 62
Suppose -9*l - 47 + 308 = 0. Let w = l - 26. Factor 1 + 8*r + 5*r**3 - 5 - 16*r**3 + w*r**3 + 4*r**4.
4*(r - 1)**3*(r + 1)
Let l(g) = 35*g**4 - 148*g**3 + 1229*g**2 + 12*g + 6. Let c(z) = -30*z**4 + 150*z**3 - 1230*z**2 - 10*z - 5. Let v(u) = 6*c(u) + 5*l(u). Solve v(p) = 0 for p.
0, 13, 19
Let m = 35 - -355. Find x such that -378*x**3 - 849 + 4484*x - 460*x**2 + m*x**3 - 595 = 0.
1/3, 19
Suppose f**5 - 20 + 1079205*f + f**5 + 4*f**4 - 1079179*f - 28*f**3 + 16*f**2 = 0. Calculate f.
-5, -1, 1, 2
Factor -583/4*c + 145*c**2 + 1/4*c**3 - 581/2.
(c - 2)*(c + 1)*(c + 581)/4
Let a be 1 + 11/(-3) + (-6 - -10). Let w = -696 + 699. Factor 5/3*s**4 - a*s**2 - 2*s**w - 1/3*s**5 + 8/3*s + 0.
-s*(s - 2)**3*(s + 1)/3
Let o(p) be the second derivative of -p**9/3780 - p**8/210 + p**7/630 + 2*p**6/45 + 15*p**4/2 - 20*p. Let g(u) be the third derivative of o(u). Factor g(y).
-4*y*(y - 1)*(y + 1)*(y + 8)
Suppose d = -2*s + 5, 4*d + 4 + 15 = 5*s. Suppose 40 - 50*g**2 + 8*g**5 + 14*g**4 - 4*g**5 - 25*g**s + 20*g - 4*g**4 + g**5 = 0. Calculate g.
-2, -1, 1, 2
Factor -828 + 570*u - 2*u**3 - 730*u**2 + 4*u**3 + 626*u**2.
2*(u - 46)*(u - 3)**2
Suppose 5*n = 3*b + 10*n + 10, -3*b + 40 = -5*n. Let y(v) be the second derivative of -8/21*v**4 + 33*v + 0 - 36/7*v**2 + 2*v**3 + 1/35*v**b. Factor y(r).
4*(r - 3)**2*(r - 2)/7
Let k(s) be the first derivative of s**5 - 195*s**4/4 + 775*s**3 - 8245*s**2/2 + 8670*s - 1404. Factor k(n).
5*(n - 17)**2*(n - 3)*(n - 2)
Let p(s) be the first derivative of 5*s**3/3 + 1080*s**2 + 233280*s - 550. Factor p(n).
5*(n + 216)**2
Suppose 10 = d + d, 3*y - 3*d = -24. Let a be 2/(-1 - y)*(9 - 9). Factor 10*m**5 - 2*m**4 - 8/5*m**2 + a + 0*m - 32/5*m**3.
2*m**2*(m - 1)*(5*m + 2)**2/5
Let c = -650 - -654. Let n(r) be the third derivative of -1/2*r**c + 0 + 1/15*r**5 + 0*r + 4/3*r**3 + 19*r**2. Factor n(d).
4*(d - 2)*(d - 1)
Let g = 4953 - 4953. Let u(n) be the third derivative of 16*n**2 - 1/196*n**8 + 0*n**6 + 0 + 1/490*n**7 + 0*n**4 + 0*n**5 + 0*n + g*n**3. Factor u(i).
-3*i**4*(4*i - 1)/7
Suppose 138/5*f + 8*f**2 - 108/5 - 12/5*f**4 - 12*f**3 + 2/5*f**5 = 0. Calculate f.
-3, -2, 1, 9
Suppose -3*c - 32 = 5*f - 45, 0 = -38*f + 3*c + 73. Find q, given that 0*q + 1/5*q**3 + 4/5 - 3/5*q**f = 0.
-1, 2
Let n(d) be the first derivative of 14/5*d**2 - 181 - 2/3*d**3 - 3*d + 1/25*d**5 - 1/5*d**4. Factor n(p).
(p - 5)*(p - 1)**2*(p + 3)/5
Let y(d) be the first derivative of 16*d**5/15 + 85*d**4/3 + 1652*d**3/9 + 196*d**2/3 - 213. Find c such that y(c) = 0.
-14, -7, -1/4, 0
Suppose -44 = -32*o + 1044. Let k = o - 230/7. Factor 4/7*d**2 - 3*d**4 + 0 + 0*d + k*d**3.
-d**2*(3*d - 2)*(7*d + 2)/7
Let d = -648 + 710. Suppose 25*l + 12 - d = 0. Let -48/17*t - 32/17 - 18/17*t**l - 2/17*t**3 = 0. Calculate t.
-4, -1
Let w(a) = 5*a**2 - 70*a + 1225. Let o(c) = 12*c**2 - 140*c + 2450. Let h be (-30)/(-3 + 9) + 1 - -6. Let s(j) = h*o(j) - 5*w(j). Find u, given that s(u) = 0.
35
Factor -110342 - 43009 + 1880*x - 23369 - 5*x**2.
-5*(x - 188)**2
Let r = 2/118231 + 13951012/14542413. Let s = -12/41 + r. Let 0*l - s*l**3 + 2/3*l**5 + 0*l**4 + 0 + 0*l**2 = 0. What is l?
-1, 0, 1
Suppose 0 = 6*x - 3*s + 387, -4*s + 158 = -3*x - 43. Let j be (-145)/(-420) - -2 - (-6)/x. Factor -5/2 + 1/4*d**2 + j*d.
(d - 1)*(d + 10)/4
Factor -56/9*b + 2/9*b**2 + 392/9.
2*(b - 14)**2/9
Determine l, given that 2597*l + 6*l**2 + 0*l**2 + 1588*l - 1190*l - l**2 = 0.
-599, 0
Factor 2122/3*k - 708 + 2/3*k**2.
2*(k - 1)*(k + 1062)/3
Let u be (14/(-42))/(1/(-6)). Suppose 4*t + 5*p = 15, -13*t + 12*t + 6 = u*p. Find c, given that -2/19*c**2 + 2/19*c**4 + 0 + 0*c**3 + t*c = 0.
-1, 0, 1
Suppose -5*z + 3*b = 5, -10*z + 12*z + 2*b - 14 = 0. Solve -54 + 280 + 2*i**z + 166 + 7*i - 63*i = 0 for i.
14
Let x(m) be the third derivative of 9*m**2 - 25/3*m**3 + 35/24*m**4 + 0*m + 0 - 1/12*m**5. Find t such that x(t) = 0.
2, 5
Let q be ((120 + -120)/(-3 + 1))/(2/(-1)). Factor q*r - 8/11*r**2 + 6/11*r**4 + 0*r**3 + 2/11*r**5 + 0.
2*r**2*(r - 1)*(r + 2)**2/11
Let u(b) be the second derivative of -b**7/2520 + b**6/1080 + b**3/6 + 5*b**2/2 + 16*b. Let z(f) be the second derivative of u(f). Solve z(i) = 0.
0, 1
Let x(q) = -12*q**4 - 92*q**3 + 100*q**2 + 1344*q - 2856. Let i(a) = -4*a**4 - a**3 + 6. Let w(t) = 4*i(t) - x(t). Factor w(v).
-4*(v - 20)*(v - 3)**2*(v + 4)
Let l(z) be the second derivative of 4/15*z**3 + 1/20*z**4 - 17/2*z**2 + 32*z - 1/150*z**5 + 0. Let f(u) be the first derivative of l(u). Factor f(m).
-2*(m - 4)*(m + 1)/5
Let r(v) = -4*v**5 - 3*v**3 - 9. Let y(o) be the third derivative of -o**8/42 - o**6/24 - 5*o**3/2 + 8*o**2 - 7*o. Let u(b) = 5*r(b) - 3*y(b). Factor u(m).
4*m**5
Let q(u) be the first derivative of -3*u**4/32 + 7*u**3/8 + 21*u**2/4 - 60*u + 1811. Factor q(t).
-3*(t - 8)*(t - 4)*(t + 5)/8
Factor -73/3*q + 13*q**2 - 112/3.
(q + 1)*(39*q - 112)/3
Let 2*f**2 - 2830494 + 3664*f + 7896*f + 2*f**2 - 2328*f + 8157358 = 0. What is f?
-1154
Factor 0 + 22/9*h**2 - 2/9*h**4 - 8/3*h + 4/9*h**3.
-2*h*(h - 4)*(h - 1)*(h + 3)/9
Let t(o) be the first derivative of 338*o - 13*o**2 + 37 + 1/6*o**3. Factor t(p).
(p - 26)**2/2
Let q = -150968 + 150972. Suppose 22/5*n**3 + 14/5*n**2 + 2/5*n**q - 4*n - 16/5 - 2/5*n**5 = 0. What is n?
-2, -1, 1, 4
Factor 10*w - 8317*w**3 - 126 + 5*w + 24966*w**3 - 8325*w**3 + 22*w**2 - 8323*w**3.
(w - 2)*(w + 3)*(w + 21)
Let j be 1/18 - (-75 - (-125114)/1692). Factor -2/9*n**2 - j*n - 8/9.
-2*(n + 1)*(n + 4)/9
Let o be (-3 + 765/8)*-7 + 3. Let b = o + 646. Factor -1/4*u + b*u**2 + 0 - 1/8*u**4 + 1/8*u**5 - 3/8*u**3.
u*(u - 1)**3*(u + 2)/8
Suppose 0 = -3*c + 5*n + 31, 3*c - 3 + 7 = -2*n. Let o be 4*((-3)/5 + (-22)/(-20)). Factor -11*j**o + 12*j**c + 2*j - 8 + 9.
(j + 1)**2
Let i be 0*(-30)/(-36)*1/15*9. Solve 2/7 - 2/7*k**4 + i*k**2 - 4/7*k + 4/7*k**3 = 0.
-1, 1
Let h = 88366/206759 - -35/29537. Factor -12/7 + h*o**2 - 1/7*o**3 + 4/7*o.
-(o - 3)*(o - 2)*(o + 2)/7
Let r be (7/14)/((-10)/(-650))*(-8)/(-60). Let 13/3*b**2 - r - 1/3*b**3 + 1/3*b = 0. What is b?
-1, 1, 13
Let x = -27502/11 - -2490. Let n = -538/55 - x. Let -n*b**3 - 4/5*b**2 + 0 - 2/5*b = 0. What is b?
-1, 0
Let r(c) = -22*c**4 + 12*c**3 + 317*c**2 - 1280*c + 175. Let n(p) = 3*p**4 + 2*p**3 - p**2 + 2*p. Let j(b) = -5*n(b) - r(b). Let j(s) = 0. Calculate s.
-7, 1/7, 5
Let 27294*s**2 + 480*s - 9260 - 2260 - 27299*s**2 = 0. Calculate s.
48
Let r be (-1)/(1302/(-98) - -13). Find h such that 10/3*h + 1/6*h**2 - r = 0.
-21, 1
Factor -153*s**3 + 33*s**4 + 2468 + 6384*s + 2763 - 519 + 1624 + s**5 + 2387*s**2 + 564*s**3.
(s + 3)**2*(s + 8)**2*(s + 11)
Let x be ((-27)/(-6))/(10/(-20)). Let y be 100/(-40) - -6*x/(-12). Suppose 0 + 2/3*d - 1/3*d**y = 0. What is d?
0, 2
Let i be ((-1)/(-2))/((7/(-56))/(74/(-16))*2). Factor 37/4*n**2 - i - 1/4*n + 1/4*n**3.
(n - 1)*(n + 1)*(n + 37)/4
Let u(r) = r**2 + 4*r - 3. Let a be ((-40)/(-8))/(-3 + 2). Let z be u(a). Factor -3 + 6*o**3 - z*o**2 - 3*o**3 - 3*o + 5.
(o - 1)*(o + 1)*(3*o - 2)
Suppose 2839*l + 4393 = -601*l + 7040 + 7673. Factor 0*r - 48/7*r**2 - 2/7*r**l + 0.