erivative of -p**7/42 + p**6/24 + p**5/6 + 23*p**2. Factor l(u).
-5*u**2*(u - 2)*(u + 1)
Let o(k) = k**3 + 13*k**2 + 10*k - 16. Let b be o(-12). Let m be ((-2)/(-12))/(2/b). Factor 2/3*f**2 - m + 0*f.
2*(f - 1)*(f + 1)/3
Let v = 39/10 + 13/5. Let o = v - 6. Determine t so that -3/4*t + t**4 + 4*t**2 - 15/4*t**3 - o = 0.
-1/4, 1, 2
Let z(o) be the first derivative of -1/12*o**6 - 1/5*o**5 + 4/3*o**3 + 1/4*o**4 + 7/4*o**2 + 1 + o. Find a, given that z(a) = 0.
-1, 2
Let h(g) be the third derivative of g**9/60480 - g**8/26880 - g**7/10080 + g**6/2880 + g**4/12 - g**2. Let k(j) be the second derivative of h(j). Factor k(i).
i*(i - 1)**2*(i + 1)/4
Factor -11*l**2 - 2*l**2 - 6*l - 3*l**3 + 4*l**2.
-3*l*(l + 1)*(l + 2)
Suppose -6 = 2*b + 4*k + 8, -3*k + 7 = -2*b. Let c be ((-2)/8 + 0)*b. Factor 0 - 1/4*z**4 + c*z**3 + z - 2*z**2.
-z*(z - 2)**2*(z - 1)/4
Suppose 0*h = -2*h. Let t = h + 3. Let 4/9*b**t - 2/9*b**5 - 2/9*b**4 - 2/9 - 2/9*b + 4/9*b**2 = 0. What is b?
-1, 1
Find t, given that -2/3*t**2 - 8/3*t - 2 = 0.
-3, -1
Let t = -931524 + 423843617/455. Let w = -3/91 + t. Let w - 2/5*p - 2/5*p**2 + 2/5*p**3 = 0. Calculate p.
-1, 1
Factor 42/5*k - 3/5*k**2 - 39/5.
-3*(k - 13)*(k - 1)/5
Suppose 4 = -2*x + 2. Let j(a) = a + 2. Let b be j(3). Let t(g) = 7*g**2 + 6*g + 4. Let q(f) = f**2. Let c(u) = b*q(u) + x*t(u). Factor c(w).
-2*(w + 1)*(w + 2)
Let j(w) = 15*w**3 - w. Let u be j(-1). Let n = u - -16. Let 6/5*a + 2/5*a**3 + 2/5 + 6/5*a**n = 0. What is a?
-1
Let h(y) be the second derivative of -9*y**4/4 + 11*y**3/2 - 3*y**2 + 8*y. Factor h(t).
-3*(t - 1)*(9*t - 2)
Factor -25*c**3 + c**5 + 2*c**4 + 22*c**3 + 0*c**5.
c**3*(c - 1)*(c + 3)
Let k(y) be the third derivative of 0 - 1/18*y**3 - 1/72*y**5 + 4*y**2 + 7/144*y**4 + 0*y. Factor k(j).
-(j - 1)*(5*j - 2)/6
Let b(m) = -m**2 + m - 1. Let r(o) = -7*o**2 + 3*o + 1. Let p(d) = -3*b(d) + r(d). Solve p(a) = 0 for a.
-1, 1
Let j(y) be the third derivative of y**7/630 + y**6/360 - y**5/90 + 5*y**2. Factor j(q).
q**2*(q - 1)*(q + 2)/3
Let d(c) be the first derivative of -2*c**5/15 - c**4/6 + 2*c**3/9 + c**2/3 + 5. Suppose d(g) = 0. Calculate g.
-1, 0, 1
Let w(b) be the third derivative of b**6/360 + b**5/40 + b**4/12 - 2*b**3/3 + 11*b**2. Let r(h) be the first derivative of w(h). Factor r(f).
(f + 1)*(f + 2)
Let d(b) = -b**2 + b + 1. Let j(c) be the first derivative of -9*c + 2 + 1/4*c**4 + 8/3*c**3 - 9/2*c**2. Let y(t) = 18*d(t) + 2*j(t). What is z in y(z) = 0?
0, 1
Let f(x) = -x**3 - x**2 + x - 1. Let m(v) = -3*v**3 + 28*v**2 - 298*v + 998. Let l(d) = -2*f(d) + m(d). Factor l(q).
-(q - 10)**3
Let s(w) be the second derivative of -1/120*w**5 + w + 0 + 1/24*w**4 - 1/12*w**3 - 1/2*w**2. Let y(b) be the first derivative of s(b). What is c in y(c) = 0?
1
Suppose -2*q + 3 = 3*m + q, 0 = 3*m + 2*q - 2. Let a(k) be the second derivative of -1/36*k**4 - 1/6*k**2 - 2*k + m - 1/9*k**3. Find s, given that a(s) = 0.
-1
Let b(o) be the second derivative of 0 - 2*o + 1/120*o**5 + 1/12*o**3 - o**2 - 1/24*o**4. Let c(a) be the first derivative of b(a). Find s such that c(s) = 0.
1
Determine z so that -z**4 - 1/3*z**2 + 4*z + 5/3*z**5 + 4/3 - 17/3*z**3 = 0.
-1, -2/5, 1, 2
Solve -6*u - 3*u**2 + 9/2*u**3 + 3/4*u**5 + 15/4*u**4 + 0 = 0 for u.
-2, 0, 1
Factor -2*v**2 + 0 + 0 + 0*v**2 + 2*v.
-2*v*(v - 1)
Let y(u) be the second derivative of u**4/30 - 5*u. Find d such that y(d) = 0.
0
Suppose -4*a + 24 = 4*l, 9 = 4*l - 3. Factor 2*u**2 + u**3 - 3*u - 3*u**a + 3*u.
-2*u**2*(u - 1)
Let p(d) be the second derivative of 0*d**2 + 3/20*d**5 + 0*d**3 + 1/2*d**4 - 3*d + 0. Determine l, given that p(l) = 0.
-2, 0
Let v be ((-1056)/(-462))/(22/7). Solve 4/11*j**2 + v*j**4 + 0 - 10/11*j**3 + 0*j - 2/11*j**5 = 0.
0, 1, 2
Let m be (2/7)/((-6)/(-14)). Let w = 2/49 - -190/147. Find p such that w*p**2 + 4/3*p**3 - 2/3*p**5 - 2/3*p**4 - m - 2/3*p = 0.
-1, 1
Let a = 6 + -4. Factor -s**3 + 27*s**2 - a*s**3 + 9*s - 6 - 27*s**2.
-3*(s - 1)**2*(s + 2)
Let w(a) be the second derivative of a**5/20 - 2*a**4/3 + 8*a**3/3 + 15*a. Factor w(d).
d*(d - 4)**2
Suppose 18 + 27 = -5*c - 3*r, 0 = -c - r - 9. Let b = c + 13. Let -5/4*w**2 + 5/4*w**b - 1/4*w**3 - 1/2*w + 3/4*w**5 + 0 = 0. Calculate w.
-1, -2/3, 0, 1
Let d(b) be the third derivative of b**8/560 - b**7/70 + b**6/30 - b**3/2 + 3*b**2. Let j(z) be the first derivative of d(z). Factor j(v).
3*v**2*(v - 2)**2
Suppose 0*f = v - f + 13, -v - f - 7 = 0. Let s = 12 + v. Suppose 0 + 1/4*h + 1/4*h**s = 0. Calculate h.
-1, 0
Let a(z) = 4*z**3 - 14*z**2 + 10*z - 2. Let o(f) = -8*f**3 + 29*f**2 - 21*f + 5. Let j(q) = 5*a(q) + 2*o(q). Factor j(g).
4*g*(g - 2)*(g - 1)
Suppose g - 3*g + 4*t - 38 = 0, -2*g = 5*t - 7. Let b = 9 + g. Factor b - 1/4*w - 1/4*w**2.
-w*(w + 1)/4
Let x(s) = 9*s**2 + 6*s + 4. Let w(c) = -17*c**2 - 13*c - 7. Let l(a) = -4*w(a) - 7*x(a). Factor l(k).
5*k*(k + 2)
Let x(o) = o**2 - o - 2. Let z be x(3). Let u = -1 + z. Factor 2/7*d**4 + 2/7*d**5 - 2/7*d**2 - 2/7*d**u + 0 + 0*d.
2*d**2*(d - 1)*(d + 1)**2/7
Let u(q) be the third derivative of -q**9/20160 - q**8/6720 + q**7/1680 + q**6/240 + q**5/15 + q**2. Let h(p) be the third derivative of u(p). Factor h(t).
-3*(t - 1)*(t + 1)**2
Suppose 5*i = 3 + 2. Suppose 3 = y + i. Factor -y*k + 0*k + 2*k**2 - 2*k.
2*k*(k - 2)
Let i = 17 + -13. Suppose 8*h - i*h = 32. Factor 4*g**2 + 0 - h*g**3 - 1/2*g.
-g*(4*g - 1)**2/2
Let z(r) be the first derivative of 45*r**4/4 - 14*r**3 - 9*r**2/2 + 6*r - 4. Factor z(l).
3*(l - 1)*(3*l - 1)*(5*l + 2)
Let q be 5 - 4/6*-3. Let r be 12/(-20) + (-33)/(-5). Factor -m**2 + q*m**4 + 5*m**2 - 4*m**3 - r*m**4.
m**2*(m - 2)**2
Solve 3*c**2 - 4*c**2 - 2*c**2 - 108 - 36*c = 0 for c.
-6
Suppose 1/3*m**5 + 0*m - m**4 + 0 + 0*m**2 + 2/3*m**3 = 0. Calculate m.
0, 1, 2
Suppose -10*o + 75 = 5*o. Let k(f) be the third derivative of 0 - 1/200*f**6 + 0*f**o + 4*f**2 - 1/5*f**3 + 0*f + 3/40*f**4. Factor k(s).
-3*(s - 1)**2*(s + 2)/5
Let m be (-247)/65 - -4*1. Factor 0*a - m*a**3 + 1/5*a**2 + 0.
-a**2*(a - 1)/5
Let b = 13 + -10. Let q(s) be the third derivative of 0*s + 1/90*s**5 + 0 + 1/9*s**b - s**2 - 1/18*s**4. Determine d, given that q(d) = 0.
1
Let p(q) be the second derivative of q**4/12 - q**3 + 9*q. Factor p(o).
o*(o - 6)
Let v = -1604 - -1607. Factor 0 - v*z**2 + 3/2*z + 3/2*z**3.
3*z*(z - 1)**2/2
Let j be (15/(-2))/(-3) + -1. Let a(p) = p**3 + 4*p**2 - 19*p + 16. Let x be a(-7). Let 1/2*q**3 + 0*q**x - j*q - 1 = 0. What is q?
-1, 2
Let s(c) be the third derivative of -1/108*c**4 + 0 - 7*c**2 - 1/270*c**5 + 2/27*c**3 + 0*c. Suppose s(n) = 0. Calculate n.
-2, 1
Let m(i) be the first derivative of 2*i**6 - 7*i**5/5 - 19*i**4/4 + 3*i**3 + 7*i**2/2 - 2*i - 24. Find o such that m(o) = 0.
-1, -2/3, 1/4, 1
Suppose -7*j + 4 = -5*j. Factor 0 + 2/3*q**j - 2/3*q.
2*q*(q - 1)/3
Let z(a) be the third derivative of a**6/240 - a**5/120 - a**4/24 - a**2 - 23. Factor z(k).
k*(k - 2)*(k + 1)/2
Let j(a) = a**2 - 10*a + 9. Let n(u) = u - 1. Let d = 4 + -3. Let g(w) = d*j(w) + 6*n(w). Factor g(x).
(x - 3)*(x - 1)
Let l(x) be the third derivative of -x**8/33600 + x**7/12600 + 7*x**4/24 + 4*x**2. Let w(u) be the second derivative of l(u). Factor w(s).
-s**2*(s - 1)/5
Let f(a) be the third derivative of -2*a**2 + 1/60*a**6 + 0*a - 1/105*a**7 + 0 + 0*a**3 - 1/12*a**4 + 1/30*a**5. Find n such that f(n) = 0.
-1, 0, 1
Let k be 1/15 - (-1)/3. Suppose 2*w - 5*p = -1, 5*p - 5 = -3*w + 6*p. Factor -k*m**w + 2/5 + 0*m.
-2*(m - 1)*(m + 1)/5
Let v be 8/(-3 + 2 + 3). Suppose r + 0*r = 2. Let -2*t**r - t - v - 3*t + t**2 = 0. What is t?
-2
Let d(o) = o + 10. Let k be d(-6). Determine a, given that -a**5 - 2*a**4 + 2*a**5 + 3*a**k = 0.
-1, 0
Let b(f) be the first derivative of -3*f**5/5 + 9*f**4/4 - 2*f**3 + 25. Solve b(a) = 0.
0, 1, 2
Let p be 6/4 + 1 - (-2)/(-4). Find l such that 4/9*l + 2/9*l**p + 2/9 = 0.
-1
Factor -4/13*n**2 + 2/13*n**3 - 2/13*n + 4/13.
2*(n - 2)*(n - 1)*(n + 1)/13
Let z(y) be the second derivative of 7*y**4/9 - 8*y**3/3 - 8*y**2/3 + 5*y. Solve z(t) = 0 for t.
-2/7, 2
Let r be (-32)/(-14) + 4/(-14). Suppose 2*v = v + r. Let 1 - z**4 - 6*z**2 + 4*z**2 + v*z**4 = 0. What is z?
-1, 1
Let w(k) be the third derivative of -k**4/12 - k**3 + k**2. Let x be w(-4). Factor -1/3*o**3 + 0*o**x + 0*o + 0.
-o**3/3
Let s(h) = -11*h**3 + 20*h**2 - 15*h + 2. Let x(q)