 f**2 + f**2 + 0*f**2 + 6 - 3*f - 5*f**h = 0.
-2, 1
Let p(l) be the second derivative of 11*l - 1/9*l**6 - 16/3*l**2 - 16/15*l**5 - 64/9*l**3 + 0 - 4*l**4. Determine r, given that p(r) = 0.
-2, -2/5
Let x be (0/6*(2 + -1))/(42/21). Factor 2/9*r**5 + 0 + x*r**2 - 2/9*r**4 + 0*r + 0*r**3.
2*r**4*(r - 1)/9
Let r(c) = -12*c**2 - 2*c. Let j = 139 + -111. Let k(u) = -u**2 + u - 1. Let d(s) = j*k(s) - 2*r(s). Factor d(x).
-4*(x - 7)*(x - 1)
Factor 5/3*h**2 + 13/3*h + 2.
(h + 2)*(5*h + 3)/3
Let l(v) = -2*v**3 - 9*v**2 + 79*v - 16. Let k be l(-9). Factor -4/5*p + 6/5*p**k - 2/5*p**3 + 0.
-2*p*(p - 2)*(p - 1)/5
Suppose -3*t - 38*t + 138 = 5*t. What is n in -2/13*n**4 + 0 + 6/13*n**2 - 4/13*n + 0*n**t = 0?
-2, 0, 1
Determine b, given that 17/2*b**3 + 0 + 40*b**2 + 32*b + 1/2*b**4 = 0.
-8, -1, 0
Let h(s) be the first derivative of 3*s**4/4 - s**3 - 6*s**2 + 12*s - 124. Suppose h(m) = 0. Calculate m.
-2, 1, 2
Let u = -156 - -156. Let o(g) be the first derivative of 6/25*g**5 + 2/5*g**4 + 5 + u*g + 0*g**2 + 2/15*g**3. Let o(b) = 0. What is b?
-1, -1/3, 0
Let v = -6067/3 + 2023. Let j(q) be the first derivative of v*q**3 + 1/2*q**6 + 0*q**2 + 9/4*q**4 + 2*q**5 - 12 + 0*q. Factor j(i).
i**2*(i + 1)*(i + 2)*(3*i + 1)
Solve 594*t**4 + 9025*t - 4044*t**2 - 593*t**4 + 191*t**3 + 13259*t**2 = 0 for t.
-95, -1, 0
Let v(q) = 3*q**3 - 6*q**2 + 3*q - 8. Let s(c) = -c**3 + c + 2. Let m(t) = 4*s(t) + v(t). Suppose m(a) = 0. What is a?
-7, 0, 1
Let y(a) = -80*a**2 - 207*a - 111. Let l(h) = -h + 2. Let t(b) = -7*l(b) + y(b). Let t(c) = 0. Calculate c.
-5/4
Let r = -1734 + 1734. Factor -1/4*t**3 + 0*t + r*t**2 - 1/2*t**4 - 1/4*t**5 + 0.
-t**3*(t + 1)**2/4
Let y(s) = s**2 - 3*s - 2. Let m be y(4). Find j such that 0 + 7*j**3 - m*j - 4*j**2 + 6*j**2 - 2 - 5*j**3 = 0.
-1, 1
Determine d, given that 3/2*d**2 - 9/2 - 13*d = 0.
-1/3, 9
Suppose -1/2*r**2 + 1/2*r**4 + 0 - r**3 + r = 0. What is r?
-1, 0, 1, 2
Let r be 3*(-2)/6*-2. Suppose 2*p + 5*x = -15, -r*p - 2*x - 2*x = 12. Factor -16/3*s**4 + p + 0*s**2 - 2/3*s + 4*s**3 + 2*s**5.
2*s*(s - 1)**3*(3*s + 1)/3
Let b(c) be the first derivative of c**8/3780 - c**7/945 - c**6/810 + c**5/135 + 9*c**3 - 48. Let h(r) be the third derivative of b(r). Factor h(i).
4*i*(i - 2)*(i - 1)*(i + 1)/9
Let s(i) = 7*i**3 + 37*i**2 - 8*i + 4. Let z(f) = -36*f**3 - 184*f**2 + 40*f - 22. Let n(t) = 11*s(t) + 2*z(t). Factor n(l).
l*(l + 8)*(5*l - 1)
Factor 312*m - 5351 - 12*m**2 + 2495 + 9*m**2 - 5256.
-3*(m - 52)**2
Let z(y) = 6*y**2 + 36*y + 5. Let c be z(-6). Suppose -4*b + 2 = c*a + 19, -5 = -5*b - a. Let -8/9*f**b - 2/9 - 10/9*f = 0. What is f?
-1, -1/4
Suppose 70*b + 4*b + 95 = 317. Let 0 + 0*z + 1/3*z**b - z**2 = 0. What is z?
0, 3
Let z(m) = -m. Let k be z(-2). Suppose 4*a + k = 5*a. Factor 1/2*y - 1/4 - 1/4*y**a.
-(y - 1)**2/4
Factor -1063*i**3 - 78*i + 20 + 22*i**2 - 8*i + 1071*i**3.
2*(i - 2)*(i + 5)*(4*i - 1)
Factor -172/7*d**2 - 1008 + 2/7*d**3 + 552*d.
2*(d - 42)**2*(d - 2)/7
Solve -1871 - 779 - 4*i**2 - 1566 - 8156 - 624 + 456*i = 0.
57
Let h(r) be the first derivative of -r**4/40 + 4*r**3/15 - 19*r**2/20 + 6*r/5 - 51. Factor h(q).
-(q - 4)*(q - 3)*(q - 1)/10
Let -p**3 - 2*p**3 + 3*p + 3*p**2 - 3*p - 24 + 3*p + 21*p**2 = 0. What is p?
-1, 1, 8
Let z be (-6)/(-15) + 772/20. Suppose -5*u - z + 14 = -r, -5*u = 4*r. Find n such that 5*n**5 - 3*n**5 - 3*n**4 - 2*n**5 + 3*n**r = 0.
0, 1
Let z be 6/(-51) + (-1011)/(-7293). Let a = 581/429 - z. Suppose -4/3 + a*s - 1/3*s**2 = 0. Calculate s.
2
Let s(u) = -9*u**2 - 9*u + 11. Let v(k) = -4*k**2 - 20*k - 30*k + 9*k**2 + 55*k - 6. Let j = -22 - -15. Let r(p) = j*v(p) - 4*s(p). Solve r(w) = 0 for w.
-2, 1
Let m(k) be the second derivative of 0*k**3 - 1/30*k**6 + 0*k**2 + 1/12*k**4 + 0 - 1/42*k**7 + 1/20*k**5 - 6*k. Determine d so that m(d) = 0.
-1, 0, 1
Let u(y) = -3*y**3 + y**2 - y. Let i(g) = 56*g**3 - 36*g**2 + 66*g - 40. Let f(m) = 2*i(m) + 36*u(m). Factor f(w).
4*(w - 5)*(w - 2)**2
Let m(a) be the first derivative of a**4/20 - 11*a**3/15 - 28*a**2/5 - 12*a - 245. Factor m(z).
(z - 15)*(z + 2)**2/5
Let u(m) = -m - 13. Let b(w) = w + 9. Let k(t) = 7*b(t) + 5*u(t). Let x be k(3). Factor 1/3*s**x + 2/3*s**3 - 1/3*s**2 + 0 - 2/3*s.
s*(s - 1)*(s + 1)*(s + 2)/3
Let m be (6/(-4) + 1)/((-2)/4). Solve 1 + 3*j**3 - m - 5*j - 7*j = 0.
-2, 0, 2
Solve 2288/5*i**2 + 1536/5*i + 10*i**4 + 288/5 + 128*i**3 = 0 for i.
-6, -2/5
Let u be ((-36)/7)/((-12)/336). Let b be (12/48)/((-105)/u - -1). Determine j, given that 58/13*j - 18/13*j**2 - b = 0.
2/9, 3
Let v(g) be the second derivative of g**8/6720 - g**7/840 + g**6/240 - g**5/120 - 7*g**4/12 - 14*g. Let s(i) be the third derivative of v(i). Solve s(f) = 0.
1
Suppose -10 - 67 = -7*u. Determine w so that 18*w + 0 + u*w**2 + 29*w**2 + 5 + 12*w = 0.
-1/2, -1/4
Let y(u) be the second derivative of -13*u**5/150 - 53*u**4/90 - 43*u**3/45 - u**2/5 + 452*u. Determine w, given that y(w) = 0.
-3, -1, -1/13
Suppose -7*h + 3*h = -16. Suppose z + z = h. Factor t**2 - t + z - 2 - t.
t*(t - 2)
Let b(u) be the first derivative of -u**4/8 - 5*u**3/6 + 3*u**2/2 - 598. What is d in b(d) = 0?
-6, 0, 1
Let w(i) be the second derivative of -i**4/12 + 25*i**3 - 5625*i**2/2 - 535*i. Let w(a) = 0. Calculate a.
75
Let k(y) be the third derivative of 0*y**4 + 1/6*y**3 + 0 - 1/60*y**5 + 0*y - 4*y**2. Factor k(s).
-(s - 1)*(s + 1)
Let t(p) be the second derivative of -p**6/405 + p**5/108 - p**4/108 + p**3 - 8*p. Let f(j) be the second derivative of t(j). Determine h, given that f(h) = 0.
1/4, 1
Let t(h) be the first derivative of 2*h**3/9 + 110*h**2 + 18150*h - 373. What is j in t(j) = 0?
-165
Let k = 3 - 3. Let w(r) = 3*r**2 + 31*r + 13. Let s be w(-10). Factor -1/4*p**2 - 1/4*p**s + k + 1/4*p + 1/4*p**4.
p*(p - 1)**2*(p + 1)/4
Let r(z) = -z**3 - 11*z**2 - 10*z + 4. Let x be r(-10). Let j(l) be the second derivative of 0 - 3*l**3 - 7/6*l**x + 8*l - 2*l**2. Factor j(p).
-2*(p + 1)*(7*p + 2)
Let a(x) = -x**3 + 5*x**2 - 5*x - 3. Let k be a(4). Let s = 9 + k. Let 13*m**3 - 6*m**5 - 4*m**s + 4*m**4 - 2*m - 5*m**3 + 0*m = 0. Calculate m.
-1, -1/3, 0, 1
Let n(b) be the third derivative of b**8/5880 - 2*b**7/735 + b**6/70 - 9*b**4/28 + 5*b**3/6 + 6*b**2. Let c(f) be the first derivative of n(f). Factor c(z).
2*(z - 3)**3*(z + 1)/7
Let i be (1 - (-52)/20)/((-3)/70). Let h be (-1 + 11/9)/((-14)/i). What is p in -2/9*p**4 - 8/3*p - h*p**3 - 26/9*p**2 - 8/9 = 0?
-2, -1
Let f(q) be the first derivative of q**5/12 + 25*q**4/24 - 2*q**2 + 8. Let c(u) be the second derivative of f(u). Factor c(l).
5*l*(l + 5)
Let u(b) = -2*b**3 + 28*b**2 - 29*b - 226. Let z be u(12). Factor 16/11 + 684/11*r**z - 184/11*r - 810/11*r**3.
-2*(5*r - 2)*(9*r - 2)**2/11
Let q = 27 - 11. Let w = 5 + q. Factor -6 - 12*i**3 + 3*i**2 + 5*i**4 - 2*i**4 + w*i**3 - 9*i.
3*(i - 1)*(i + 1)**2*(i + 2)
Factor 31*z**2 - 4*z**3 - 36*z + 3*z**2 + 0*z**3 + 2*z**2 - 88 + 12*z**2.
-4*(z - 11)*(z - 2)*(z + 1)
Let u(j) = -7*j + 72. Let n be u(-25). Let r = -247 + n. Factor 2/9*a**5 + r*a**4 + 0 + 0*a**3 + 0*a + 0*a**2.
2*a**5/9
Let j(x) be the second derivative of 0*x**2 + 0*x**3 + 0 + 0*x**4 + 0*x**6 + 7*x - 1/84*x**7 + 1/40*x**5. Factor j(k).
-k**3*(k - 1)*(k + 1)/2
Suppose -4*z + 36 = -28. Determine x so that 2*x - 10*x + x - 11*x - z - 2*x**2 = 0.
-8, -1
Let f(y) be the first derivative of -13 - 9/14*y**2 - 1/7*y**3 + 0*y. Let f(d) = 0. Calculate d.
-3, 0
Let t = -691304/7 - -98943. Let h = t - 184. Factor -3/7*g - h*g**2 - 9/7*g**3 - 3/7*g**4 + 0.
-3*g*(g + 1)**3/7
Find i, given that -4*i**3 + 71*i - 16 - 20 - 147*i - 44*i**2 = 0.
-9, -1
Find v, given that 0*v + 4/7*v**3 + 8/7*v**2 + 0 = 0.
-2, 0
Let f(q) be the second derivative of 0 - 1/5*q**5 - 9*q - 3*q**4 + 2/15*q**6 - 8*q**2 - 22/3*q**3. Factor f(i).
4*(i - 4)*(i + 1)**3
Let p be (46 + -1)/((-225)/40 + 6). Let f be (750/p)/(2 - (-1 + 1)). Determine j, given that 1/8 - 5/4*j + f*j**2 = 0.
1/5
Let l(h) be the second derivative of h**7/280 + h**6/480 - h**5/120 + 5*h**2/2 - 9*h. Let y(p) be the first derivative of l(p). Factor y(b).
b**2*(b + 1)*(3*b - 2)/4
Find b, given that -2784/5*b**4 + 96/5 + 4038/5*b**2 + 3912/5*b**3 + 1104/5*b + 384/5*b**5 = 0.
-1/4, 4
Let q(r) be the second derivative of r**4/3 + 176*r**3/3 + 3872*r**2 - 171*r. Suppose q(f) = 0. What is f?
-44
Let s(o) = -o**3 + 