 p(o). Factor l(z).
-(z + 1)**2*(z + 2)/6
Let k(n) = -92*n**3 + 260*n**2 - 208*n + 28. Let t(y) = 37*y**3 - 104*y**2 + 83*y - 11. Let g(h) = -5*k(h) - 12*t(h). Determine f so that g(f) = 0.
1/4, 1, 2
Factor 5/3*b - 4/3*b**2 - 1/3.
-(b - 1)*(4*b - 1)/3
Let j(m) be the second derivative of m**7/63 - 14*m**6/15 + 98*m**5/5 - 1372*m**4/9 + 3*m. Factor j(x).
2*x**2*(x - 14)**3/3
Let y(n) be the first derivative of -n**7/126 + n**5/30 - n**3/18 + n + 5. Let p(o) be the first derivative of y(o). Solve p(s) = 0 for s.
-1, 0, 1
Let y(q) = 7*q**3 + 6*q**2 - 7*q - 6. Let x(f) = -8*f**3 - 6*f**2 + 8*f + 6. Let n(v) = -5*x(v) - 6*y(v). Let n(o) = 0. Calculate o.
-3, -1, 1
Let 2*c**4 - 2*c**3 + 0*c**4 + c**2 + 0*c**2 - c**3 = 0. Calculate c.
0, 1/2, 1
Let x(d) be the first derivative of -1/9*d**6 - 25/6*d**4 - 76/9*d**3 - 28/3*d**2 - 16/3*d + 1 - 16/15*d**5. Suppose x(s) = 0. What is s?
-2, -1
Factor -m**3 - 48*m - 8*m**3 + m**2 + 5*m**3 - 25*m**2 - 32.
-4*(m + 2)**3
Let j be 0/(0 - (-4)/(-2)). Suppose -2*c - c + 6 = j. What is t in 3*t**c + 2*t**3 - t**2 + 0*t**3 = 0?
-1, 0
Let j(a) be the second derivative of -a**4/12 + 2*a**3/3 + 5*a**2/2 + 16*a. Factor j(h).
-(h - 5)*(h + 1)
Let x(g) be the third derivative of -g**5/90 + g**4/12 - 2*g**3/9 + 5*g**2. Determine w, given that x(w) = 0.
1, 2
Find n such that 5/4*n**3 + 1/4*n**4 + 7/4*n**2 + 0 + 3/4*n = 0.
-3, -1, 0
Let l = -34 + 37. Let a(r) be the second derivative of 0*r**2 - 3*r + 0*r**l + 1/9*r**4 + 0 - 1/30*r**5. Factor a(q).
-2*q**2*(q - 2)/3
Let i = 50 - 47. Let b(l) be the first derivative of 3/2*l**2 - 1 - l**i - l + 1/4*l**4. Solve b(r) = 0 for r.
1
Suppose -d = 4*d + 110. Let x be 1*1*(-4)/d. Factor -2/11*m**2 + 2/11 + x*m - 2/11*m**3.
-2*(m - 1)*(m + 1)**2/11
Let u(x) be the third derivative of 0*x + 0*x**7 - 1/280*x**6 + 0*x**3 + 1/588*x**8 + 0 + 1/420*x**5 + 0*x**4 - 2*x**2. Let u(r) = 0. What is r?
-1, 0, 1/2
Let g(s) = 15*s**4 + 30*s**3 - 75*s**2 + 35*s. Let b(c) = -8*c**4 - 15*c**3 + 38*c**2 - 17*c. Let h(p) = -5*b(p) - 2*g(p). Solve h(u) = 0.
-3, 0, 1/2, 1
Solve 4/5*c**2 + 0*c**3 - 2/5*c**5 - 4/5*c**4 + 0 + 2/5*c = 0 for c.
-1, 0, 1
Let b = 35 + -35. Let h(x) be the third derivative of 1/105*x**7 - 1/30*x**5 - 1/12*x**4 + 0*x**3 - 3*x**2 + 0*x + 1/60*x**6 + b. Factor h(z).
2*z*(z - 1)*(z + 1)**2
Let k(w) = w**3 + w**2 - 2*w + 3. Let g be k(0). Find m such that 4 + g*m + 3*m**4 - 3*m + 6*m - 6*m**3 - 7 = 0.
-1, 1
Let 1/4*d**4 + 1/4*d**2 + 1/2*d**3 + 0*d + 0 = 0. Calculate d.
-1, 0
Let p(h) be the second derivative of -h**6/1080 + h**4/72 - 2*h**3/3 + h. Let g(r) be the second derivative of p(r). Find a such that g(a) = 0.
-1, 1
Let n = -1 + 3. Determine t, given that 3*t**2 + 2 + 4*t**2 - 6*t**n - 3 = 0.
-1, 1
Suppose -w = -5*o + 27, 3*w = 4*o - 31 + 5. Let 5/3*z**3 + 2/3*z**2 + 0*z - 2/3*z**4 + 0 - 5/3*z**o = 0. Calculate z.
-1, -2/5, 0, 1
Let c(r) be the third derivative of r**8/840 - r**7/105 + r**6/36 - r**5/30 - 2*r**3/3 - 6*r**2. Let d(y) be the first derivative of c(y). Factor d(u).
2*u*(u - 2)*(u - 1)**2
Let x be -3 + 3 + (-9)/(-3). Factor w**4 - 4*w**x - 8*w + 1 + 6*w**2 + 0*w**4 + 4*w.
(w - 1)**4
Let z(m) be the second derivative of m**7/378 - m**6/90 - m**5/90 + m**4/9 - 4*m**3/27 + 4*m. Let z(g) = 0. What is g?
-2, 0, 1, 2
Let c = -3 + 2. Let x(z) = -z**3. Let j(v) = 3*v**3 + 3*v**2 + 2*v. Let y(h) = h**3. Let r(g) = j(g) + 4*y(g). Let p(f) = c*r(f) - 6*x(f). Factor p(a).
-a*(a + 1)*(a + 2)
Suppose 0 = 4*d - 0*d. Suppose d = -3*g + 5*g - 6. Solve -14*m**2 + 2*m + 5*m + g*m + 4 = 0.
-2/7, 1
Let s(a) = 2*a + 17. Let j be (-10 + 3)*(-1 + 2). Let m be s(j). Factor -2/7*n**2 + 0*n - 2/7*n**m + 0.
-2*n**2*(n + 1)/7
Let m = 71/4 - 141/8. Factor -m*q**4 + 7/8*q + 5/8*q**3 - 9/8*q**2 - 1/4.
-(q - 2)*(q - 1)**3/8
Let f(g) = 1 + 11*g**2 - g**3 + 6*g**4 + 2*g + g + 15 - 2*g. Let s(b) = -b**4 - 2*b**2 - 3. Let t(l) = 4*f(l) + 22*s(l). Solve t(m) = 0 for m.
-1, 1
Let s(h) = -8*h + 50. Let i be s(6). Let v(r) be the first derivative of 1/5*r**5 - r**2 + 0*r + 5/3*r**3 - i - r**4. What is k in v(k) = 0?
0, 1, 2
Let v(f) be the second derivative of -9*f**7/560 - f**6/40 - f**5/80 - f**3/2 + 3*f. Let d(i) be the second derivative of v(i). Find w, given that d(w) = 0.
-1/3, 0
Let w = 21 + -18. Let i(s) be the second derivative of 1/9*s**w + s - 1/36*s**4 + 0 - 1/6*s**2. Determine v so that i(v) = 0.
1
Factor 15*b + 23 + 37 - 69 - 3*b**2 - 3*b**3.
-3*(b - 1)**2*(b + 3)
Let 0*r - 6/5*r**3 - 2/5*r**5 - 8/5*r**4 + 0*r**2 + 0 = 0. What is r?
-3, -1, 0
Let p(w) be the second derivative of 0*w**3 + 0 - 1/18*w**4 + 5*w + 0*w**2 + 1/15*w**5. Factor p(r).
2*r**2*(2*r - 1)/3
Let l(r) = r - 1. Let x be l(3). Suppose -2 - 2 = -x*b. Factor 0*y**2 + 2*y**5 - 2*y**2 + 4*y**2 - b*y**4 - 2*y**3.
2*y**2*(y - 1)**2*(y + 1)
Let u(k) be the third derivative of 2*k**7/105 + k**6/10 - k**5/15 - k**4/2 + 12*k**2. Determine y so that u(y) = 0.
-3, -1, 0, 1
Let x be (16/180)/((-28)/(-6)). Let l(n) be the third derivative of -2*n**2 + 0 + 0*n**3 + x*n**5 + 0*n - 1/84*n**4. Let l(s) = 0. What is s?
0, 1/4
Suppose -r = 2, 4*r + 4 = -o - 0*r. Suppose -15*t**3 - 21*t + 6*t**2 + 6 + 3*t**4 - o*t**2 + 25*t**2 = 0. Calculate t.
1, 2
Factor 104*h**2 - 99*h**2 - 8 - 7 + 10*h.
5*(h - 1)*(h + 3)
Suppose m = -4*m + 15. Let k(w) be the second derivative of 0 + 0*w**2 - 1/6*w**3 + 0*w**4 + 1/20*w**5 - m*w. Find q such that k(q) = 0.
-1, 0, 1
Let b(m) be the second derivative of -2/27*m**3 - 5/189*m**7 + 0 + 7/90*m**5 + 1/45*m**6 + 0*m**2 - 3*m - 1/18*m**4. What is i in b(i) = 0?
-1, -2/5, 0, 1
Let r(w) = w + 13. Let x be r(-12). Let l be (x/1 + -1)/2. Factor 0 + 2/3*d**2 + l*d.
2*d**2/3
Let m(y) = -2*y**2 + 15*y - 5. Let a be m(7). Suppose 2*b**3 + 4/7 + 32/7*b**a + 22/7*b = 0. What is b?
-1, -2/7
Suppose -21*y = -12*y. Solve -2/7*i**2 + y*i + 2/7 = 0 for i.
-1, 1
Let q(t) be the first derivative of -t**6/200 + 13*t**5/300 - 13*t**4/120 + t**3/10 + 3*t**2/2 + 3. Let g(j) be the second derivative of q(j). Factor g(r).
-(r - 3)*(r - 1)*(3*r - 1)/5
Let n(o) be the second derivative of 0 + 1/4*o**4 - 4*o + 1/18*o**3 - 1/3*o**2 - 13/60*o**5 + 1/18*o**6. Factor n(r).
(r - 1)**3*(5*r + 2)/3
Let h(p) be the first derivative of 5/2*p**4 - 14/3*p**3 + 3 + 0*p + 2*p**2. Factor h(v).
2*v*(v - 1)*(5*v - 2)
Factor 2/5 - 4/5*n**2 + 2/5*n.
-2*(n - 1)*(2*n + 1)/5
Let n be (-6)/(-4) + (-35)/30. Let u be 20/42 - (-5)/(-35). Determine d so that -2/3 + n*d + u*d**2 = 0.
-2, 1
Let j(y) be the second derivative of y**7/2520 + y**6/1080 + 2*y**3/3 - 7*y. Let z(b) be the second derivative of j(b). Factor z(u).
u**2*(u + 1)/3
Factor 81/5*i**4 + 108/5*i**2 + 0 - 24/5*i - 162/5*i**3.
3*i*(3*i - 2)**3/5
Let g be 1/4 + 175/20. Factor -q**3 + g*q**3 - 6*q + 13*q**3 - 15*q**2.
3*q*(q - 1)*(7*q + 2)
Let n(g) be the first derivative of -4/3*g**3 + 11 - 3/10*g**4 + 16/5*g - 4/5*g**2. Factor n(s).
-2*(s + 2)**2*(3*s - 2)/5
Let h(z) = -4*z**2 - 3. Let c(f) = 3*f**2 + 2. Let b(g) = 6*c(g) + 4*h(g). Factor b(k).
2*k**2
Let s(b) = 0*b + 8*b**3 - 1 + b**4 - b**2 - 2*b - 9*b**3 + 3*b. Let d(n) = -6*n**4 + n**3 + 20*n**2 - 19*n + 11. Let p(q) = 2*d(q) + 14*s(q). Factor p(l).
2*(l - 2)**2*(l - 1)**2
Let t be 3 - 30/(-100)*(-44)/6. Let a(s) be the first derivative of -1 - 1/5*s**2 + 2/5*s**3 - t*s. Suppose a(r) = 0. Calculate r.
-2/3, 1
Let p(z) = -z**3 + z**2 + z. Let d(m) = -8*m + 1. Let i(t) = -d(t) - 3*p(t). Let s(c) = -c**3 - c. Let y(q) = 2*i(q) + 4*s(q). Let y(l) = 0. Calculate l.
1
Let h = 73 - 43. Let z be ((-8)/h)/((-2)/3). Let -2/5*y**2 + z + 2/5*y - 2/5*y**3 = 0. Calculate y.
-1, 1
Factor -2/5*t**3 - 2/5*t + 12/5 - 8/5*t**2.
-2*(t - 1)*(t + 2)*(t + 3)/5
Let z(q) be the first derivative of 0*q**2 - 2/3*q**3 + 2*q - 3. Factor z(c).
-2*(c - 1)*(c + 1)
Find t such that 3*t**3 + 0*t + 0 + 9/2*t**4 + 3/2*t**5 + 0*t**2 = 0.
-2, -1, 0
Let s(p) be the third derivative of 0*p - p**2 + 1/24*p**4 + 0 - 1/240*p**5 + 1/6*p**3 - 1/720*p**6. Let m(i) be the first derivative of s(i). Factor m(q).
-(q - 1)*(q + 2)/2
Let x be 6/9*13/((-52)/(-24)). Let l(t) be the second derivative of 27/10*t**2 + 3/20*t**x - 2*t - 9/10*t**3 - 1/100*t**5 + 0. Find k such that l(k) = 0.
3
Suppose -4*y - 5*c + 12 = 4, -2*y = -c - 4. Determine n so that 27 + 0*n**2 + 5*n**y - 18*n - 2*n**2 = 0.
3
Let h(l)