13)**3/8
Let r be ((-10)/(-30))/((-1)/21). Let g = 9 + r. Factor 10 + g*b**2 + 1 + 7 - 12*b.
2*(b - 3)**2
Suppose 3*x + 4*o + 2 = 0, 2*x = -3*o - 0*o - 2. Factor 0 + 2/5*z + 1/5*z**x.
z*(z + 2)/5
Let m be (5/(-10))/((-3)/6) - -3. Suppose 16/7*t + 46/7*t**2 - 2/7*t**5 - 2*t**3 - 32/7 - 2*t**m = 0. Calculate t.
-4, -1, 1
Let m(w) be the first derivative of 5*w**6/6 - 6*w**5 + 65*w**4/4 - 20*w**3 + 10*w**2 + 494. Determine k, given that m(k) = 0.
0, 1, 2
Let v(r) be the first derivative of 7*r + 1/30*r**4 - 1/50*r**5 - 1/5*r**2 + 1/15*r**3 + 6. Let p(c) be the first derivative of v(c). Factor p(j).
-2*(j - 1)**2*(j + 1)/5
Let j(l) = -516*l - 9. Let t be j(-4). Solve t*o + 10*o**3 - 5*o**5 - 2055*o - 5*o**4 = 0 for o.
-2, 0, 1
Let t(s) be the first derivative of -s**7/735 - s**6/420 + s**5/210 + s**4/84 - 7*s**2/2 - 1. Let j(w) be the second derivative of t(w). What is x in j(x) = 0?
-1, 0, 1
Let o(z) be the third derivative of 0*z + 3/70*z**5 - 1/42*z**4 + 0*z**3 - 1/60*z**6 + 0 - 3*z**2. Determine f so that o(f) = 0.
0, 2/7, 1
Let u(p) = -p**2 + 8*p + 13. Let k be u(9). Suppose 0 = -2*r - k*y - 6, -5*r - 2*y = -2 - 7. Factor -9*l**r + 6*l**5 + 5*l + 0*l**3 - l**3 - l**5.
5*l*(l - 1)**2*(l + 1)**2
Let p(d) be the first derivative of d**8/112 - d**7/70 - d**6/40 + d**5/20 + 15*d**2/2 - 7. Let j(t) be the second derivative of p(t). Factor j(o).
3*o**2*(o - 1)**2*(o + 1)
Let r(x) = 3*x**4 - 11*x**2 + 2*x + 2. Let o(y) = 48*y**4 + 3*y**3 - 177*y**2 + 33*y + 33. Let k(c) = 2*o(c) - 33*r(c). Let k(w) = 0. What is w?
-1, 0, 3
Let i(h) be the first derivative of 0*h**5 - 7*h - 1/60*h**6 + 1/168*h**7 + 0*h**2 + 0*h**4 + 0*h**3 + 6. Let x(o) be the first derivative of i(o). Factor x(d).
d**4*(d - 2)/4
Let p(d) = d. Let x(h) = h**2 - 5*h + 1. Let s(f) = 4*p(f) + x(f). Let v(y) = -12*y**2 + 4*y - 14. Let i(u) = 10*s(u) + v(u). Determine l so that i(l) = 0.
-2, -1
Let r(l) be the second derivative of -l**4/120 + 5*l**3/12 + 13*l**2/10 + l - 3. Factor r(h).
-(h - 26)*(h + 1)/10
Let q = 33 - 31. Let -29*z**2 + q*z + 15*z**2 + 2*z**3 + 0*z + 18*z**2 = 0. What is z?
-1, 0
Let m(h) be the second derivative of -h**6/40 - 3*h**5/20 - h**4/4 - 4*h**2 - 3*h. Let p(f) be the first derivative of m(f). Solve p(z) = 0 for z.
-2, -1, 0
Let d(k) = -2*k - 26. Let n be d(-15). Let 6*x**n - 3*x**2 - 2*x**3 - 3*x**3 + 5*x**2 - 5*x**3 + 2*x = 0. What is x?
-1/3, 0, 1
Suppose -76/5*j**4 - 12/5*j**5 - 168/5*j**3 - 76/5*j - 168/5*j**2 - 12/5 = 0. Calculate j.
-3, -1, -1/3
Let p = 14728 + -132401/9. Let f = -47/3 + p. Factor 4/9*b + 8/9*b**3 + 0 + 2/9*b**4 + f*b**2.
2*b*(b + 1)**2*(b + 2)/9
Let n(u) be the third derivative of u**5/180 - 2*u**4/9 + 51*u**2. Factor n(y).
y*(y - 16)/3
Let d(n) = -12*n**5 - 20*n**4 + 68*n**3 - 28*n**2. Let v(u) = -4*u**5 - 7*u**4 + 23*u**3 - 9*u**2. Let x(r) = 3*d(r) - 8*v(r). Factor x(h).
-4*h**2*(h - 1)**2*(h + 3)
Let q(m) = -m**3 - 4*m**2. Let o be q(-4). Let j be -4*(o + -2)/4. Suppose -3 + s - 4*s**3 + 5*s**3 + 3 - j*s**2 = 0. What is s?
0, 1
Let q(x) be the third derivative of -x**5/90 - x**4/9 - x**3/3 + x**2 + 29. Factor q(t).
-2*(t + 1)*(t + 3)/3
Let x(i) = i**2 - 12*i + 23. Let y be x(10). Suppose 3*m - 9 = -5*w, 0*w + 15 = -y*w + 5*m. Suppose 0 + 2/7*v**4 + w*v + 8/7*v**2 - 8/7*v**3 = 0. Calculate v.
0, 2
Let m be 1/(-3)*9*28/(-21). Solve m*i**2 - 3*i**2 - 3*i**3 + 2*i**2 = 0 for i.
0, 1
Let s = 2415 + -2413. Let m(q) be the first derivative of 38/3*q**3 + 14*q**s + 25/4*q**4 + 8/5*q**5 - 6 + 1/6*q**6 + 8*q. Factor m(y).
(y + 1)**2*(y + 2)**3
Let f(m) be the first derivative of -m**4/16 - m**3/2 - 3*m**2/2 - 2*m + 100. Factor f(p).
-(p + 2)**3/4
Let y = 0 + 6. Let g be (y - 2)/((-2)/(-1) + 0). Find o, given that 0 + 2/13*o + 2/13*o**g = 0.
-1, 0
Find c such that 83*c**2 + 5*c**4 - 69*c**3 - 25*c - 28*c**2 + 34*c**3 = 0.
0, 1, 5
Let w be 4 - (4 + -3)*-1. Factor -4*b**2 + 14*b - 4*b - w - b**2.
-5*(b - 1)**2
Let y(x) be the third derivative of 0*x**3 + 1/120*x**4 + 0 + 0*x - 1/600*x**6 - 4*x**2 + 0*x**5. Let y(k) = 0. What is k?
-1, 0, 1
Let n(a) be the third derivative of a**7/630 + a**6/720 + a**4/3 - 5*a**2. Let r(m) be the second derivative of n(m). Factor r(x).
x*(4*x + 1)
Suppose 0 = 3*a + 4*p + 6, 0*p + 1 = -4*a - 3*p. Let x = a - -2. Let -4*f**3 - x*f**2 + 3*f**3 + f**3 - 2*f**3 = 0. Calculate f.
-2, 0
Let u = 142 - 140. Let q = 1049/390 - 3/130. Factor -q*i**3 - 24*i - 2/9*i**4 - 18 - 12*i**u.
-2*(i + 3)**4/9
Let l be -20 + (24 - (-56)/(-35)). Find a such that -4/5*a**3 - l*a**2 - 4 + 36/5*a = 0.
-5, 1
Let a(v) = v**3 - 29*v**2 - 27*v + 786. Let b be a(29). Factor 2/9*n - 2/9 + 2/9*n**2 - 2/9*n**b.
-2*(n - 1)**2*(n + 1)/9
Let u(g) be the first derivative of -g**6/360 - g**5/30 - g**4/6 - 4*g**3/9 - 7*g**2/2 - 7. Let v(s) be the second derivative of u(s). Factor v(x).
-(x + 2)**3/3
Let j(y) = y**3 - 6*y**2 - 2*y. Let v(m) = m**3 - 5*m**2 - 2*m. Let s(w) = -w - 6. Let b be s(0). Let o(k) = b*j(k) + 7*v(k). Determine n so that o(n) = 0.
-2, 0, 1
Let k be ((-2)/(-10))/((24/108)/((-240)/(-54))). Factor 1/2*g**k + 1/2 - 2*g**3 + 3*g**2 - 2*g.
(g - 1)**4/2
Let q(h) be the second derivative of -h**5/80 - h**4/4 - 7*h**3/8 + 49*h**2/4 + h - 133. Factor q(i).
-(i - 2)*(i + 7)**2/4
Let v(c) be the first derivative of -2*c**5/35 + 3*c**4/14 + 107. Factor v(i).
-2*i**3*(i - 3)/7
Suppose -86 = 8*d - 118. Let a(g) be the first derivative of 0*g + 0*g**2 - 4/15*g**3 - 1/15*g**6 + 3/10*g**d + 11 + 0*g**5. Factor a(q).
-2*q**2*(q - 1)**2*(q + 2)/5
Suppose -9*u = 37*u. Determine a, given that -4/17*a**2 + 0 - 14/17*a**4 - 4/17*a**5 + u*a - 14/17*a**3 = 0.
-2, -1, -1/2, 0
Let p = 27 + -23. Let f(s) = s**5 + 2*s**2 - s - 2. Let d(t) = -3*t**5 - t**4 - 4*t**2 + 3*t + 5. Let j(h) = p*d(h) + 10*f(h). Factor j(c).
-2*c*(c - 1)*(c + 1)**3
Let 19*x**3 - 8*x**3 - 2*x**3 - 9*x**3 - 52*x**2 - 4*x**3 = 0. What is x?
-13, 0
Let x(s) be the first derivative of -s**4/10 + 4*s**2/5 - 56. Let x(u) = 0. What is u?
-2, 0, 2
Let -2/21*j**5 + 46/7*j**3 + 4/3*j**4 + 0*j + 36/7*j**2 + 0 = 0. Calculate j.
-3, -1, 0, 18
Let f be (-966)/(-3726)*12/14. What is b in -4*b + 18 + f*b**2 = 0?
9
Let c(y) be the second derivative of y**4/32 - 17*y**3/16 + 3*y**2 + 37*y + 2. Suppose c(r) = 0. What is r?
1, 16
Factor -170 - 5*u - 12*u + 66*u + 26*u + 5*u**2.
5*(u - 2)*(u + 17)
Let v(m) be the first derivative of -15*m**4/4 - 130*m**3/3 - 100*m**2 - 397. Determine l, given that v(l) = 0.
-20/3, -2, 0
Let f(n) be the first derivative of n**7/42 - n**6/6 - n**5/2 + 5*n**4/6 + 25*n**3/6 + 12*n**2 - 28. Let a(t) be the second derivative of f(t). Factor a(k).
5*(k - 5)*(k - 1)*(k + 1)**2
Let w(i) = 7*i**4 + 37*i**3 - 7*i**2 - 37*i + 3. Let q(s) = -8*s**4 - 36*s**3 + 8*s**2 + 36*s - 4. Let o(a) = -3*q(a) - 4*w(a). Solve o(d) = 0.
-10, -1, 0, 1
Let m(u) = 25*u**2 + 73*u - 21. Let c(s) = -124*s**2 - 364*s + 104. Let f = 83 - 80. Let v(w) = f*c(w) + 16*m(w). Solve v(k) = 0 for k.
-3, 2/7
Let w(z) be the second derivative of -1/16*z**4 - 9/80*z**5 + 0*z**2 - 1/56*z**7 - 7 - 5*z - 3/40*z**6 + 0*z**3. Factor w(p).
-3*p**2*(p + 1)**3/4
Suppose -2*n - 36*k - 21 = -33*k, -14 = -n + 2*k. Factor n + o**2 + 2/3*o - 5/3*o**3.
-o*(o - 1)*(5*o + 2)/3
Let l(j) = -9*j**5 - 3*j**4 - j**3 + 8*j**2 - 5*j - 5. Let c(o) = 8*o**5 + 4*o**4 - 8*o**2 + 4*o + 4. Let r = 0 - -4. Let n(x) = r*l(x) + 5*c(x). Factor n(s).
4*s**2*(s - 1)*(s + 1)*(s + 2)
Let o(q) be the third derivative of 27*q**6/20 + 69*q**5/10 - 26*q**4/3 + 4*q**3 + 119*q**2. Suppose o(b) = 0. What is b?
-3, 2/9
Let j be 1/2*(14 + 1 + -14) + 0. Factor 0 + 2*i**2 - 1/2*i**4 + 0*i + j*i**5 - 2*i**3.
i**2*(i - 2)*(i - 1)*(i + 2)/2
Let z = 10 - -29. Find l such that -19*l**2 - 8*l**3 - 30*l**2 + 2*l**4 + z*l**2 = 0.
-1, 0, 5
Let m be -12 + -369*(-36)/1134 + (-4)/(-14). Suppose 0*s + 5*s**4 - 5/3*s**5 - 5*s**3 + 5/3*s**2 + m = 0. What is s?
0, 1
Let k be ((-9)/((-36)/8))/(2/6). Factor 4 - 2*d + 98*d**2 - 94*d**2 - k*d.
4*(d - 1)**2
Let i = -36610 - -36620. Suppose 14/3*y**3 + 26/3*y + i*y**2 + 2/3*y**4 + 8/3 = 0. Calculate y.
-4, -1
Let p(z) be the second derivative of -z**5/4 + 5*z**4/6 + 25*z**3/6 - 15*z**2 + 5*z + 2. Factor p(t).
-5*(t - 3)*(t - 1)*(t + 2)
Factor 5/2*c**3 - 10 + 15/2*c**2 + 0*c.
5*(c - 1)*(c + 2)**2/2
Suppose 27/2 - 39/4*p + p**2 + 1/4*p*