 - a + 34*a**3 - p + a**2 - 13*a**3.
(a - 1)*(a + 1)**2
Let z(d) = -d**5 + 6*d**4 + 12*d**3 - 12*d**2 - d + 1. Let k(y) = 3*y**4 + 6*y**3 - 6*y**2. Let w(m) = 5*k(m) - 3*z(m). Factor w(h).
3*(h - 1)**3*(h + 1)**2
Suppose -167*f - 68 = -201*f. Suppose -1/3*p - 1/3*p**f - p**4 + 5/3*p**3 + 0 = 0. Calculate p.
-1/3, 0, 1
Let g(n) be the third derivative of -n**5/20 - 7*n**4/8 + 9*n**3 - 117*n**2. Solve g(t) = 0 for t.
-9, 2
Suppose -5*n - n = -0*n. Let g be 2/1 - (n - 0). What is f in -32/11 - 16/11*f - 2/11*f**g = 0?
-4
Let n(f) be the second derivative of -1/114*f**4 - 9/19*f**2 - 2/19*f**3 + 27*f + 0. Find j such that n(j) = 0.
-3
Let y(m) = m**3 + 32*m**2 - 119*m - 487. Let v be y(-35). Factor -3/7*i**v + 0 + 6/7*i - 3/7*i**2.
-3*i*(i - 1)*(i + 2)/7
Determine r so that -724/7*r**2 - 18/7*r**3 - 156/7 - 862/7*r = 0.
-39, -1, -2/9
Let o = -4884/5 - -977. Find n such that 1/5 - 1/5*n**2 - o*n + 1/5*n**3 = 0.
-1, 1
Let y(i) = 3*i. Suppose 0*l + 4 = 4*l. Let g be y(l). Solve -3*a - 2*a + 6 - g*a**2 + 2*a = 0 for a.
-2, 1
Let p(x) = 19*x**2 + 3. Let m(s) = 10*s**2 + 2. Let n be (-450)/(-42) + 2/7. Let z(i) = n*m(i) - 6*p(i). Factor z(t).
-4*(t - 1)*(t + 1)
Let j(n) be the second derivative of n**6/75 - 3*n**5/50 - n**4/10 + 7*n**3/15 + 6*n**2/5 - 28*n + 13. Factor j(s).
2*(s - 3)*(s - 2)*(s + 1)**2/5
Suppose -5*u + 15 = 0, 16 = 5*t + 4*u - 7*u. Suppose 5*h = t - 5. Factor h - 2/11*g**2 + 0*g.
-2*g**2/11
Let o be 22/4 - 5 - (-2)/4. Let a be (o/3)/(4/(-6))*0. Factor -4*s**3 + 1/2*s**2 + a + 8*s**4 + 0*s.
s**2*(4*s - 1)**2/2
Let b be 2/14*3*(492 - 488). Find l such that 6/7*l**2 + 15/7*l**3 + 0*l + b*l**4 + 0 + 3/7*l**5 = 0.
-2, -1, 0
Find i such that 166*i**4 - 7*i**3 - 11*i**3 - 328*i**4 + 46*i**2 + 164*i**4 - 30*i = 0.
0, 1, 3, 5
Suppose -408*x + 404*x = -12. Solve -32/5*a - 4/5*a**x - 16/5 - 4*a**2 = 0 for a.
-2, -1
Let c(x) = x**5 + x**4 - x**3 - x**2 - x. Let u(b) = 6*b**5 + 33*b**4 + 108*b**3 + 177*b**2 + 105*b. Let h(i) = 3*c(i) - u(i). Suppose h(d) = 0. Calculate d.
-3, -2, 0
Let q(o) be the third derivative of -3/16*o**4 + 9/8*o**3 - 1/10*o**5 + 0 - 1/280*o**7 + 3/80*o**6 + 0*o - 21*o**2. Solve q(g) = 0.
-1, 1, 3
Let x(o) = o**2 + 3*o + 17. Let l(q) = -q**2 - 2*q - 15. Let u(h) = 7*l(h) + 6*x(h). Let u(r) = 0. Calculate r.
1, 3
Let k(r) be the first derivative of 1/2*r**5 + 0*r**2 - 10/9*r**3 + 0*r**4 + 0*r + 19 + 5/36*r**6. Find i, given that k(i) = 0.
-2, 0, 1
Let l(a) = a**2 - 135*a - 131. Let h(j) = -68*j - 66. Let q(m) = -5*h(m) + 2*l(m). What is f in q(f) = 0?
-34, -1
Let n(h) be the first derivative of 5*h**4/4 - 20*h**3/9 - 5*h**2/6 + 10*h/3 - 83. Factor n(m).
5*(m - 1)**2*(3*m + 2)/3
Let n = 3871/7440 - 16/31. Let t(i) be the third derivative of 0*i**3 - n*i**5 + 1/840*i**7 + 0 + 2*i**2 + 0*i**4 + 0*i + 0*i**6. Solve t(v) = 0.
-1, 0, 1
Let c = -146 - -146. Let y(g) be the third derivative of -1/360*g**6 + g**2 + 0*g**4 + c*g**3 + 0 + 1/180*g**5 + 0*g. What is o in y(o) = 0?
0, 1
Let u = 1118 - 1118. Let l(z) be the first derivative of u*z - 2/25*z**5 - 2 + 1/5*z**4 - 2/15*z**3 + 0*z**2. Factor l(w).
-2*w**2*(w - 1)**2/5
Factor -28/19*p + 0 - 10/19*p**2 + 2/19*p**3.
2*p*(p - 7)*(p + 2)/19
Let i = 112 + -110. Let z(n) be the first derivative of 0*n**3 - 5/16*n**4 + 3 + 1/2*n - 1/10*n**5 + 5/8*n**i. Suppose z(b) = 0. Calculate b.
-2, -1, -1/2, 1
Suppose 11*o - 14*o = -2*c - 7, 3*c = 12. Let z(x) be the third derivative of 1/12*x**o + 1/8*x**4 + 0*x + 0 - 1/3*x**3 - 3*x**2. Determine l so that z(l) = 0.
-1, 2/5
Let w(c) be the first derivative of -c**4/16 - c**3/12 + c**2/4 - 759. Factor w(h).
-h*(h - 1)*(h + 2)/4
Let w(c) be the first derivative of 8*c + 2*c**2 - 4/3*c**3 - 3. Let w(u) = 0. What is u?
-1, 2
Let s = 155 + 85. Let d be s/32*(-16)/(-50). Factor -d*w**2 + 8/5 - 4*w.
-4*(w + 2)*(3*w - 1)/5
Let p(x) be the first derivative of x**3 - 9*x**2 + 15*x + 96. What is w in p(w) = 0?
1, 5
Let b = -31 - -61. Factor 6*o**2 - 4*o**3 + 4 - 42*o + 6*o**2 + b*o.
-4*(o - 1)**3
Suppose -d - 3*d = -12. Let x be 2*(1 - d/(-6)). Factor 3 - x*z**2 + 5*z**2 + 5*z + 3*z**2 + 3*z.
(z + 1)*(5*z + 3)
Let -2/3*z**2 - 1/3*z**3 + 0 + z = 0. What is z?
-3, 0, 1
Let v(s) = s**3 + 5*s**2 - 2*s. Let f be v(-5). Let z = -8 + f. Let -40*m - 14*m**5 + 36*m - 54*m**3 + 12*m**4 + 34*m**4 + 26*m**z = 0. Calculate m.
0, 2/7, 1
Let a be 1/(-5) + ((-888)/(-15) - -1). Let -a*w**3 + 20*w + 103*w**3 - 5*w**4 - 53*w**3 + 15*w**2 - 11 - 9 = 0. Calculate w.
-2, 1
Let s(f) be the second derivative of -f**6/10 + 3*f**5/20 + f**4/4 - f**3/2 - 120*f. Suppose s(k) = 0. Calculate k.
-1, 0, 1
Let g(r) = r**2 - 3*r + 3. Let i be g(3). Let q = -3 + 5. Factor q*x**3 + x + i*x**2 - 3*x**3 - 1 + 3 - 5.
-(x - 3)*(x - 1)*(x + 1)
Let u(z) be the third derivative of z**6/720 + z**5/120 - z**4/6 + 7*z**3/9 + 10*z**2 - 2. Let u(h) = 0. Calculate h.
-7, 2
Let l(h) = h**3 + 23*h**2 + 124*h + 63. Let v be l(-15). Let 0*n + 0*n**2 + 0 + 5/3*n**5 - 10/3*n**4 + 5/3*n**v = 0. Calculate n.
0, 1
Let 25*j + 4*j - 3*j**2 - 13*j + 20 - j**2 = 0. Calculate j.
-1, 5
Let b be ((-105)/24 - -4) + 6/16. Let w(a) be the second derivative of b*a**2 - 8*a + 0 + 3/80*a**5 + 0*a**4 + 0*a**3. Solve w(o) = 0 for o.
0
Let 141/7*q**3 + 0 + 90/7*q**4 - 36/7*q**2 - 12/7*q - 75/7*q**5 = 0. Calculate q.
-1, -1/5, 0, 2/5, 2
Let z(m) = -3*m**4 - 4*m**3 + 16*m**2 + 4. Let w(v) = v**3 - v**2 - 1. Let f(i) = 4*w(i) + z(i). Determine y so that f(y) = 0.
-2, 0, 2
Solve d**2 - 58*d + 22*d + 36*d - 1 = 0 for d.
-1, 1
Suppose 0 = -3*i - 5*n - 5, 3*i - 6*n + n - 5 = 0. Factor 9*a + 6*a + i*a**2 + 5*a**2.
5*a*(a + 3)
What is a in 25*a + 26*a**5 + 84*a**2 - 22*a**5 + 4*a**3 - 97*a - 20*a**4 = 0?
-2, 0, 1, 3
Let s = -702 - -1405/2. Let j(i) be the second derivative of 0 - 3/2*i**2 - 6*i - s*i**3 + 1/4*i**4 + 3/20*i**5. Solve j(p) = 0 for p.
-1, 1
Let a be (-96)/(-256) - 129/360. Let t(d) be the third derivative of 1/210*d**7 + 0*d + 0*d**4 + a*d**5 + 0*d**3 - 2*d**2 + 0 + 1/60*d**6. Solve t(q) = 0.
-1, 0
Find v, given that 30*v - 13*v**3 - 5*v**4 - 42*v**3 + 0*v + 65*v**2 - 100 + 25*v + 40 = 0.
-12, -1, 1
Let w = -527 + 529. Solve 0 + 3/2*r**w + 9/2*r = 0 for r.
-3, 0
Determine o, given that 0*o**2 + 0 + 1/8*o**4 - 1/4*o**5 + 0*o**3 + 0*o = 0.
0, 1/2
Let h(c) = 11*c**2 + 108*c + 113. Let r(n) = 13*n**2 + 108*n + 115. Let s(t) = -5*h(t) + 4*r(t). Factor s(o).
-3*(o + 1)*(o + 35)
Let r(m) = 12*m**2 + 86*m - 32. Let i(k) = -37*k**2 - 258*k + 94. Let v(s) = -6*i(s) - 17*r(s). Solve v(j) = 0.
-5, 2/9
Let u = 130 - 72. Factor u*y**2 - 33*y**2 - 27*y**2.
-2*y**2
Let w(h) = -3*h**2 + 5*h + 2. Let s be w(2). Let u(b) be the third derivative of 0*b**3 + 4*b**2 + 1/45*b**5 + s + 0*b - 1/72*b**4. Solve u(o) = 0 for o.
0, 1/4
Let k(p) = p**4 - 5*p**3 + 3*p**2 + 7*p - 2. Let q(l) = l**4 - l**3 - l**2 - l - 2. Let x(i) = -k(i) + 3*q(i). Factor x(y).
2*(y - 2)*(y + 1)**3
Let c(h) = -17*h**4 + 6*h**3 - 41*h**2 - 25*h. Let p(q) = 4*q**4 - q**3 + 10*q**2 + 6*q. Let w(m) = 6*c(m) + 26*p(m). What is o in w(o) = 0?
-3, -1, 0
Suppose -29*y = 2 - 2. Factor -6/13*o + y - 2/13*o**2.
-2*o*(o + 3)/13
Let b(q) be the second derivative of -q**4/36 - 5*q**3/18 - 2*q**2/3 + q + 26. Factor b(x).
-(x + 1)*(x + 4)/3
Suppose -3*n - 3*n + 36 = 0. Suppose -n = -f - 4. Factor -2 + 2 + z**3 + 2*z**2 - z**f.
z**2*(z + 1)
Let u(r) be the third derivative of -r**5/360 + 37*r**4/72 - 1369*r**3/36 - 15*r**2 - r. Factor u(i).
-(i - 37)**2/6
Let r(u) be the first derivative of -10*u**2 - 9 - 25/12*u**4 - 1/4*u**5 - 3*u - 20/3*u**3. Let q(x) be the first derivative of r(x). Factor q(h).
-5*(h + 1)*(h + 2)**2
Let u(b) be the first derivative of 33*b**3/2 - 303*b**2/4 + 9*b + 35. Factor u(n).
3*(n - 3)*(33*n - 2)/2
Suppose 2*n + 2*n**2 + 1/2*n**3 + 0 = 0. Calculate n.
-2, 0
Let c(x) be the third derivative of x**7/105 + x**6/30 - 19*x**5/30 + 7*x**4/3 - 4*x**3 - 719*x**2. Determine t so that c(t) = 0.
-6, 1, 2
Let o = -373 - -377. Let y(g) be the third derivative of -1/9*g**3 + 0 + 4*g**2 - 1/24*g**o - 1/180*g**5 + 0*g. Solve y(a) = 0 for a.
-2, -1
Let j(u) be the first derivative of 3*u**5/35 - 3*u**4/28 - 4*u**3/7 + 6*u**2/7 + 203. Factor j(b).
3*b*(b - 2)*(b - 1)*(b + 2)/7
Let u(a) = a**4 + 50*a**3 - 8*a**2 - 48*a + 9. Let b(g) = 12*g**3 - 2*g**2 - 12*g + 2. Let j(k) = -9*b(