 + 2)
Let s be (-34)/(-8) - (-8)/(-2). Let z = -74 + 151/2. Factor q**2 + 0 - s*q + q**4 - 1/4*q**5 - z*q**3.
-q*(q - 1)**4/4
Let m(o) be the first derivative of o**6/21 - 2*o**5/35 - o**4/14 + 2*o**3/21 + 5. Solve m(g) = 0.
-1, 0, 1
Let j be 768/252 + (-2)/(-7). Let s = -13 + 16. What is f in 1/3*f**5 + 5/3*f**4 + 10/3*f**s + 5/3*f + 1/3 + j*f**2 = 0?
-1
Let p(m) be the third derivative of m**8/112 - m**7/70 - m**6/20 + m**5/10 + m**4/8 - m**3/2 + m**2. Factor p(g).
3*(g - 1)**3*(g + 1)**2
Let g be -7*-2*7/102. Let x = g + -5/17. Determine a so that 2/9*a**3 + x*a - 2/3*a**2 - 2/9 = 0.
1
Let h(g) be the first derivative of -g**5/10 - g**4/3 - 3*g + 1. Let n(k) be the first derivative of h(k). Factor n(f).
-2*f**2*(f + 2)
Let v(n) be the first derivative of -3/7*n**5 + 0*n + 3/14*n**2 + 5 - 2/7*n**6 + 9/28*n**4 + 5/7*n**3. Find y such that v(y) = 0.
-1, -1/4, 0, 1
Let z = 29/1560 - -3/130. Let d(b) be the third derivative of 0*b**5 + z*b**4 - 1/120*b**6 + 0*b**3 + 2*b**2 + 0*b + 0. Factor d(t).
-t*(t - 1)*(t + 1)
Let a be 28/21*6/(-4). Let y be ((-2)/16)/(a/12). Suppose 1/4 + y*z + 3/4*z**2 + 1/4*z**3 = 0. Calculate z.
-1
Let n(z) = 5*z**2 - 9*z + 4. Let s(t) = t**2 - t + 1. Let g(j) = -n(j) + 6*s(j). Let k be g(-3). Solve -6/7*u**4 + 8/7*u**k + 4/7*u**3 - 2/7 - 4/7*u = 0 for u.
-1, -1/3, 1
Let f be (-30)/(-5)*(-1)/(-3). Determine k, given that 56*k - 15 - 1 + 18*k**3 - 49*k**2 - 11*k**f = 0.
2/3, 2
Let k = -6 + 8. Let i(j) be the first derivative of -1/10*j**4 + 0*j + 0*j**2 + 8/25*j**5 + 0*j**3 - k. Factor i(o).
2*o**3*(4*o - 1)/5
Let c(b) be the second derivative of b**4/48 - b**3/12 + 2*b. Factor c(n).
n*(n - 2)/4
Let r(j) be the first derivative of -j**4/10 - 4*j**3/15 - 4. Factor r(n).
-2*n**2*(n + 2)/5
Suppose 41*i + 12*i = 0. Factor i + 15/2*k**4 + 0*k**2 + 3*k**3 - 21/2*k**5 + 0*k.
-3*k**3*(k - 1)*(7*k + 2)/2
Let l be (-2)/(-6) + 4*(-1)/(-60). Find j, given that 1/5 + 1/5*j**2 + l*j = 0.
-1
Factor 12/7*x**3 + 81/7 + 54/7*x**2 + 1/7*x**4 + 108/7*x.
(x + 3)**4/7
Let a(b) be the second derivative of b**5/60 + b**4/12 + b**3/6 - 5*b**2/2 + 3*b. Let z(k) be the first derivative of a(k). What is j in z(j) = 0?
-1
Let s(w) = -w**2 + 2*w. Let x be s(2). Let r(g) be the third derivative of 1/240*g**5 + 0*g**4 + 3*g**2 + x*g + 0*g**3 + 0. Factor r(l).
l**2/4
Let p(b) be the third derivative of 0*b**3 + 2/105*b**7 - 4*b**2 + 0 - 1/50*b**6 + 0*b**4 - 2/75*b**5 + 0*b. Factor p(y).
4*y**2*(y - 1)*(5*y + 2)/5
Let c(g) = 5*g**2 - 92*g - 55. Let u be c(19). Determine k, given that -k**3 - 1/6*k**4 - 13/6*k**u - 2/3 - 2*k = 0.
-2, -1
Suppose -n = n + n. Let a(q) be the first derivative of n*q + q**2 + 1/3*q**3 + 3. Find z such that a(z) = 0.
-2, 0
Find a such that 0 - 3/5*a**3 - 18/5*a**2 - 27/5*a = 0.
-3, 0
Let q(l) be the second derivative of l**4 + 2*l**3/3 - 3*l. Factor q(c).
4*c*(3*c + 1)
Let u(f) = 4*f**2 - 2*f + f - 3 - 36*f**3 + 35*f**3. Let l be u(3). Factor l*i + 0*i - 2*i**3 - 2*i**2 + 0*i**2 - i + 2.
-2*(i - 1)*(i + 1)**2
Let h(m) = m**3 + m**2 + m - 1. Let p(k) = -6*k**4 + 8*k**3 - 6*k**2 - 2*k + 2. Let c(r) = 2*h(r) + p(r). Determine s so that c(s) = 0.
0, 2/3, 1
Determine t so that -8/7*t**3 + 4/7*t**2 - 8/7*t**4 - 2/7*t**5 + 4/7 + 10/7*t = 0.
-2, -1, 1
Let t(i) = -3*i**2 - 46*i - 14. Let l be t(-15). Let c(q) be the first derivative of -3/2*q**2 - 6*q + 2*q**3 + 3/4*q**4 - l. Let c(j) = 0. What is j?
-2, -1, 1
Let a(b) be the first derivative of -1/16*b**4 - 3/8*b**2 - 2 - 1/4*b - 1/4*b**3. Factor a(u).
-(u + 1)**3/4
Let f(x) be the third derivative of 1/24*x**3 - 1/240*x**5 - 1/96*x**4 - 2*x**2 + 0 + 0*x + 1/480*x**6. Let f(l) = 0. Calculate l.
-1, 1
Let d(w) = w**4 + w + 1. Let o(i) = 3*i**4 - i**3 + 3*i**2 + 5*i + 2. Let n(h) = 4*d(h) - o(h). Factor n(s).
(s - 1)**2*(s + 1)*(s + 2)
Let w = -2/9 - -28/45. Factor 0 - w*p - 6/5*p**4 - 2*p**2 - 14/5*p**3.
-2*p*(p + 1)**2*(3*p + 1)/5
Let n be ((-4)/(-8))/((-1)/(-4)). Suppose -n + 4 = k. Factor 0 + 2/3*h**3 + 2/3*h - 4/3*h**k.
2*h*(h - 1)**2/3
Factor 1/2 + 1/4*m - 1/4*m**2.
-(m - 2)*(m + 1)/4
Let s(c) be the third derivative of -c**8/60480 - c**7/2520 - c**6/240 + c**5/15 - 6*c**2. Let f(l) be the third derivative of s(l). Factor f(y).
-(y + 3)**2/3
Let k(i) = -2*i - 4. Let n be k(-4). Let m be 6*(-1)/((-6)/n). Factor 1/2*f**5 + 3/2*f**2 + 0 - 3/2*f**m - f + 1/2*f**3.
f*(f - 2)*(f - 1)**2*(f + 1)/2
Let w(u) = -8*u**2 + 2*u. Let r(i) = -23*i**2 + 7*i - 1. Let a(h) = -6*r(h) + 17*w(h). Factor a(t).
2*(t - 3)*(t - 1)
Let z(w) = -155*w**2 + 395*w + 550. Let h(j) = -7*j**2 + 18*j + 25. Let r(k) = 45*h(k) - 2*z(k). Factor r(d).
-5*(d - 5)*(d + 1)
Suppose 4*p - 89 = 99. Let u = p - 43. Factor 2/5*s**u + 0*s + 0 + 2/5*s**2 - 4/5*s**3.
2*s**2*(s - 1)**2/5
Let u be 2/11 + 106/22. Factor 4*i - 8*i**2 + 4*i**4 - 3*i**3 + 4*i**2 - i**u + 0*i.
-i*(i - 2)**2*(i - 1)*(i + 1)
Let b(d) be the second derivative of 1/3*d**6 - 5/8*d**4 - 11/12*d**3 + 0 + 1/5*d**5 + 4*d - 1/2*d**2. Solve b(l) = 0.
-1/2, -2/5, 1
Let l(p) = p**2 + 2*p - 4. Let j be l(-3). Let w be 6/((-9)/(-3)) - j. Find o, given that o**2 + 2*o + 0 - 1 + 1 - o**w = 0.
-1, 0, 2
Let v(k) be the first derivative of -2*k**3/3 + 2*k + 2. What is m in v(m) = 0?
-1, 1
Suppose 0 = -j - 3*j + 8. Let b(h) be the first derivative of -j - 2/27*h**3 - 8/9*h + 4/9*h**2. Factor b(n).
-2*(n - 2)**2/9
Let z = -1 + 3. Let c(u) be the first derivative of 0*u + 2/5*u**5 + u**4 - 1/2*u**6 - 1/2*u**z - 2 - 2/3*u**3. Find n, given that c(n) = 0.
-1, -1/3, 0, 1
Let 6/5*j**3 + 1/5*j**4 + 0 + 12/5*j**2 + 8/5*j = 0. Calculate j.
-2, 0
Suppose n + 20 = 6*n. Suppose -n*w - w = 0. Factor s - 1 - 4*s + w*s - s**3 - 3*s**2.
-(s + 1)**3
Let k(j) = 2*j - 3. Let y be k(2). Let m be (-3)/(6 - 0) + 10/4. Factor 2 - 3*a - a + y + a**m.
(a - 3)*(a - 1)
Let k be (-1386)/(-330) + -2 + -2. Factor -3/5*u**2 - 1/5 + 3/5*u + k*u**3.
(u - 1)**3/5
Let p be (6/(-8))/(260/(-208)). Suppose 0*o + 0 - p*o**2 = 0. What is o?
0
Let s = 56 + -52. Let c(o) be the first derivative of -3/4*o**s + 0*o - 3 - 3/2*o**2 + 2*o**3. Let c(d) = 0. Calculate d.
0, 1
Let k = 2/15115 + 1889363/90690. Let a = 73/3 - k. What is m in 0 + a*m**2 + m = 0?
-2/7, 0
Let g(t) be the second derivative of t**5/40 + t**4/24 - t**3/12 - t**2/4 + 8*t. What is j in g(j) = 0?
-1, 1
Let z(x) be the second derivative of x**8/672 - x**7/210 + x**5/60 - x**4/48 - x**2 - 3*x. Let y(l) be the first derivative of z(l). Solve y(b) = 0 for b.
-1, 0, 1
Let l(d) be the first derivative of -d**8/3360 + d**7/672 - d**6/360 + d**5/480 - 7*d**3/3 - 1. Let x(f) be the third derivative of l(f). Factor x(m).
-m*(m - 1)**2*(2*m - 1)/4
Let t be (-4 + 3 - -3)/1. Factor w + 7*w + 0*w**2 - 6 - 5*w + 3*w**t.
3*(w - 1)*(w + 2)
Let r(p) be the second derivative of -4*p + 0*p**2 + 0 - 1/54*p**4 + 0*p**3. Factor r(s).
-2*s**2/9
Let p(d) be the first derivative of -2*d**5/25 - 3*d**4/10 + 2*d**3/15 + 3*d**2/5 - 24. Factor p(n).
-2*n*(n - 1)*(n + 1)*(n + 3)/5
Let b(t) be the first derivative of t**7/2520 + t**6/1080 - t**3/3 + 2. Let m(g) be the third derivative of b(g). Factor m(u).
u**2*(u + 1)/3
Factor 0 + 0*i**2 - 3/5*i**5 - 9/5*i**4 - 6/5*i**3 + 0*i.
-3*i**3*(i + 1)*(i + 2)/5
Let p(f) be the first derivative of -2*f**5 - 1/2*f**4 + f**6 + 0*f - 2*f**2 - 2 + 10/3*f**3. What is w in p(w) = 0?
-1, 0, 2/3, 1
Let w(b) = -3*b - 9. Let q be w(-4). Let k(f) be the first derivative of 2/3*f**q - 4*f**2 + 8*f + 2. Let k(i) = 0. Calculate i.
2
Let n(v) be the third derivative of -v**7/945 + v**6/180 - v**5/90 + v**4/108 - 7*v**2. Factor n(w).
-2*w*(w - 1)**3/9
Let u(o) be the first derivative of -2/9*o + 1/9*o**4 + 6 - 2/9*o**2 + 0*o**3 + 2/45*o**5. Factor u(w).
2*(w - 1)*(w + 1)**3/9
Let l(z) be the second derivative of z**5/100 + z**4/15 + z**3/10 + 11*z + 2. Suppose l(a) = 0. Calculate a.
-3, -1, 0
Let z(m) be the third derivative of -m**7/70 - m**6/20 + m**5/20 + m**4/4 - 5*m**2. Suppose z(x) = 0. What is x?
-2, -1, 0, 1
Let d(j) = -j + 16. Let w be d(0). Suppose 3*p + 0*p = l - 16, 4*p + w = 0. Factor -8*t**4 + 4*t**l - 4*t**3 - 2*t**5 + t**5.
-t**3*(t + 2)**2
Let o(h) = h**3 - h**2 - 1. Let d(v) = -12*v**3 + 2*v**2 + 18*v + 6. Let r(f) = -2*d(f) - 28*o(f). Factor r(k).
-4*(k - 4)*(k - 1)**2
Let k(d) = 7*d**2 - 6*d + 5. Let b(y) be the third derivative of