 third derivative of i(h). Let p(b) = 0. Calculate b.
-1, 2
Let a(l) be the first derivative of 1/36*l**4 + 2 + 0*l**3 + 0*l**2 + l. Let u(c) be the first derivative of a(c). Factor u(m).
m**2/3
Suppose -12*m - 6 = -13*m + 2*n, -5*n - 15 = 2*m. Determine w, given that 1/9*w**5 - 1/9*w + 0 + 2/9*w**4 + m*w**3 - 2/9*w**2 = 0.
-1, 0, 1
Let x(r) = -r**2. Let p(l) = -4*l**2 + 22*l - 4. Let v(c) = -p(c) - 6*x(c). Factor v(a).
2*(a - 2)*(5*a - 1)
Let b be 27/18 + 32/(-6). Let y = -7/2 - b. Factor -2/3*w**2 + y*w + 1/3.
-(w - 1)*(2*w + 1)/3
Let d(l) = -8*l**2 - 15*l + 17. Let q(h) = -105*h**2 - 195*h + 220. Let x(v) = 40*d(v) - 3*q(v). Factor x(m).
-5*(m - 1)*(m + 4)
Let 1/8 + 3/4*d - 9/8*d**4 - 3/4*d**3 + d**2 = 0. What is d?
-1, -1/3, 1
Let l(z) be the second derivative of -z**4/54 - 7*z**3/27 - 10*z**2/9 + 65*z. Suppose l(h) = 0. What is h?
-5, -2
Let u = -14/53 - -706/265. What is d in u*d**3 - 9/5 + 6/5*d**2 - 12/5*d + 3/5*d**4 = 0?
-3, -1, 1
Let p(g) be the third derivative of 0 + 0*g - 1/9*g**4 + 4/9*g**3 + 2*g**2 + 1/90*g**5. Factor p(i).
2*(i - 2)**2/3
Suppose -4*m + 17 = -63. Suppose m - 4 = 4*b - 4*x, 5*x = -3*b - 20. Let b + 2/9*p**3 + 2/9*p + 4/9*p**2 = 0. Calculate p.
-1, 0
Let v be ((-1)/2)/(2/(-12)). Find q such that q**2 + 2*q**2 + v*q + 7*q - 4*q = 0.
-2, 0
Let f(q) = q**3 - 8*q**2 + 3. Let m be f(8). Factor -13*n**3 - 4*n + 6*n**4 + 10*n**3 + 2 + 7*n**m - 8*n**2.
2*(n - 1)*(n + 1)**2*(3*n - 1)
Let t = -2 - 0. Let p = 4 + t. Factor -1 - c + c**2 + c**3 - p*c**3 + 2*c.
-(c - 1)**2*(c + 1)
Let k be 21/12*(-4)/(-14). Let b(w) be the first derivative of 1/8*w**4 - 1/4*w**2 + 1/6*w**3 - k*w - 2. Factor b(p).
(p - 1)*(p + 1)**2/2
Let y = -73 - -77. Factor 9/2*z**4 - 2*z - y*z**2 + 3/2*z**3 + 0.
z*(z - 1)*(3*z + 2)**2/2
Let v(g) = g**2 + 6*g + 7. Let r be v(-5). Let n(c) be the first derivative of -2/9*c**3 + 0*c**2 - r + 2/3*c. Let n(s) = 0. Calculate s.
-1, 1
Let p(t) be the first derivative of -4*t**3/3 - 18*t**2 - 32*t - 2. What is q in p(q) = 0?
-8, -1
Let u(a) be the third derivative of -1/30*a**5 + 0 - 1/60*a**6 + 1/105*a**7 + 0*a + 0*a**4 + 0*a**3 + 1/168*a**8 + 5*a**2. Factor u(n).
2*n**2*(n - 1)*(n + 1)**2
Let g be 5/15 - (2/6 - 0). Let p(r) be the first derivative of g*r + 0*r**3 + 1/4*r**2 - 1/4*r**4 - 1 + 0*r**5 + 1/12*r**6. Solve p(k) = 0 for k.
-1, 0, 1
Let a(l) be the third derivative of l**6/150 + 7*l**5/300 - l**4/60 + 5*l**2. Factor a(p).
p*(p + 2)*(4*p - 1)/5
Let r(j) be the third derivative of -j**5/8 + j**4/16 + j**3 + 13*j**2. Find s, given that r(s) = 0.
-4/5, 1
Let d(i) = -i**2 - 7*i + 4. Let c be d(-7). Let x be (-3)/(-15) + 21/45. Factor 2/3*y**c + 0 + 0*y**2 + x*y**3 + 0*y.
2*y**3*(y + 1)/3
Let z(n) be the third derivative of -n**5/90 - 7*n**4/18 - 49*n**3/9 + 26*n**2. What is l in z(l) = 0?
-7
Let b be (-6)/(-3) + (-290)/(-6). Let x = b - 49. What is p in -x*p + 6*p**2 + 0 - 14/3*p**3 = 0?
0, 2/7, 1
Let c(n) be the first derivative of n**4/10 - n**2/5 - 15. Factor c(b).
2*b*(b - 1)*(b + 1)/5
Let i(t) be the second derivative of 1/18*t**4 + 2/9*t**3 - 2/15*t**5 - 1/6*t**2 - 1/90*t**6 + 2/63*t**7 - 3*t + 0. Solve i(l) = 0 for l.
-1, 1/4, 1
Let w(o) be the second derivative of -o**4/24 - o**3/6 + 19*o. Factor w(j).
-j*(j + 2)/2
Let g(t) be the first derivative of t**6/36 + 3*t**5/10 + 5*t**4/8 - 25*t**3/18 + 24. Factor g(a).
a**2*(a - 1)*(a + 5)**2/6
Let t be 2/3*49/42. Let a = -5/9 + t. Factor 2/9 + 4/9*b + a*b**2.
2*(b + 1)**2/9
Suppose 6*q + 15/2 - 3/2*q**2 = 0. Calculate q.
-1, 5
Let i(n) be the first derivative of n**3/6 + n**2/4 + 7. Factor i(k).
k*(k + 1)/2
Suppose -4*d - 20 = -3*d - 5*z, 0 = -d - 4*z + 16. Let k(f) be the second derivative of 1/2*f**4 - 2/3*f**3 - 2*f + d - 1/10*f**5 + 0*f**2. Factor k(o).
-2*o*(o - 2)*(o - 1)
Let j = -249 + 249. What is k in -2/11*k**4 + 0*k + j*k**3 + 4/11*k**2 - 2/11 = 0?
-1, 1
Let u(l) be the first derivative of -l**2 - 3 + 0*l + 4/3*l**3 - 1/2*l**4. Determine h so that u(h) = 0.
0, 1
Solve 4*q**4 - 36*q**3 - q**4 + 18*q + q**4 + 11*q**4 - 33*q**2 = 0.
-1, 0, 2/5, 3
Find o such that 1/3*o**5 - 2/9*o**2 + 0 - 1/9*o**3 + 4/9*o**4 + 0*o = 0.
-1, 0, 2/3
Let x(r) be the first derivative of r**6/15 + r**5/5 - r**4/6 - 2*r**3/3 + r + 3. Let k(l) be the first derivative of x(l). Determine q so that k(q) = 0.
-2, -1, 0, 1
Let p be ((-70)/21)/(4/(-6)). Let w(q) be the third derivative of 0*q + 1/3*q**3 - 1/30*q**p + 0 - 2*q**2 + 0*q**4. Determine k, given that w(k) = 0.
-1, 1
Let h = 5 - 3. Suppose 0 = z - 4*v - 21, -2*z - 2*z + 2*v = -56. Let z*k - 13*k - h*k**2 + 2 = 0. What is k?
-1, 1
Let x be 3 + (3 - 6)/(-1). Let u be 2 - (x/(-1))/(-3). Factor 1/5*j**2 + 1/5*j + u.
j*(j + 1)/5
Let i(o) be the third derivative of -2*o**2 + 0 + 1/84*o**4 + 0*o + 0*o**3 + 1/210*o**5. Find n, given that i(n) = 0.
-1, 0
Find d, given that -8/3*d - 2/3*d**2 - 8/3 = 0.
-2
Let c(w) be the first derivative of -2 + w**2 + 10/3*w**3 + 0*w + 2*w**4. Find i such that c(i) = 0.
-1, -1/4, 0
Let b be (3/9)/(1/2). Let h = 89/3 - 29. Solve -b*y + 2/3*y**3 - h + 2/3*y**2 = 0.
-1, 1
Let k(q) be the first derivative of -140*q**5 + 45*q**4/4 + 455*q**3/3 + 90*q**2 + 20*q + 7. Suppose k(d) = 0. What is d?
-2/5, -2/7, -1/4, 1
Let t(o) be the first derivative of -o**4/60 + o**3/30 + o**2/5 + 4*o + 3. Let h(u) be the first derivative of t(u). Determine z, given that h(z) = 0.
-1, 2
Let a(f) be the second derivative of -f**5/30 - f**4/2 - 3*f**3 - 9*f**2 + 20*f. What is u in a(u) = 0?
-3
Let w = -8 - -10. Factor -r + w*r + 2*r**3 + 4*r**2 + r.
2*r*(r + 1)**2
Factor 0*y - 2/5*y**2 - y**4 + 7/5*y**3 + 0.
-y**2*(y - 1)*(5*y - 2)/5
Let l(v) be the third derivative of -v**8/1176 + 19*v**7/735 - 127*v**6/420 + 361*v**5/210 - 16*v**4/3 + 28*v**3/3 - 22*v**2. Let l(x) = 0. What is x?
1, 2, 7
Let u be (4/(-4) - 3)/(-2). Let h(r) be the third derivative of 0*r - u*r**2 + 0 + 7/108*r**4 + 1/60*r**6 + 1/27*r**3 + 1/18*r**5. Suppose h(p) = 0. What is p?
-1, -1/3
Let y be 14/(-4)*16/(-28). Suppose -2*x - 4 = -2*t, -t - t + x + y = 0. Determine n, given that 0*n + t + 0*n**2 + 1/3*n**3 = 0.
0
Let v(y) be the first derivative of y**6/48 - y**5/40 - y**4/32 + y**3/24 + 5. Factor v(i).
i**2*(i - 1)**2*(i + 1)/8
Let x be -1 + ((-15)/(-1) - 2). Let j be 4/x + 2/(-42). Factor 2/7 - 2/7*c**3 + j*c - 2/7*c**2.
-2*(c - 1)*(c + 1)**2/7
Let g(q) be the third derivative of q**7/1155 - q**5/165 + q**3/33 - 9*q**2. Factor g(k).
2*(k - 1)**2*(k + 1)**2/11
Let j(c) be the first derivative of -2*c**5/25 - 2*c**4/5 + 2*c**3/3 + 16. Find q such that j(q) = 0.
-5, 0, 1
Let a(v) be the third derivative of -v**7/2520 - v**6/360 - v**4/12 + v**2. Let p(k) be the second derivative of a(k). Factor p(m).
-m*(m + 2)
Let n(l) be the second derivative of -l**7/231 - l**6/33 - l**5/55 + 7*l**4/33 + l**3/11 - 9*l**2/11 - 6*l. Suppose n(r) = 0. What is r?
-3, -1, 1
Let 4*v**3 - 4*v**2 - 6*v**2 - 19*v**3 + 5*v**5 = 0. Calculate v.
-1, 0, 2
Let h(i) be the third derivative of -i**6/660 - i**5/330 + i**4/33 + 4*i**3/33 - i**2. Find x such that h(x) = 0.
-2, -1, 2
Let m be (-60)/15 - -2*3. Suppose 5*l - 5*u - 22 = 18, -l + 14 = -3*u. Factor -m*n**4 - n**2 + 2*n**5 - 2*n**2 + l*n**2 - 2*n**3.
2*n**2*(n - 1)**2*(n + 1)
Factor -4/7*o - 2/7*o**2 + 6/7.
-2*(o - 1)*(o + 3)/7
Let z(o) be the first derivative of 4*o**3/3 + 10*o**2 + 49. Solve z(r) = 0 for r.
-5, 0
Let j(p) = -4*p**2 - 7*p - 7. Let c(n) = 7*n**2 + 13*n + 13. Let m(u) = 3*c(u) + 5*j(u). Factor m(x).
(x + 2)**2
Let a = 154/5 + -422/15. Let h(d) be the second derivative of 7/10*d**5 + a*d**4 + 2*d + 2*d**2 + 11/3*d**3 + 0. Factor h(p).
2*(p + 1)**2*(7*p + 2)
Let y(h) = 12 - 5 - 1 - 8 + h. Let q be y(4). Factor 1/3*o**q + 0*o - 1/3.
(o - 1)*(o + 1)/3
Factor -4/5*x + 8/5 - 4/5*x**2.
-4*(x - 1)*(x + 2)/5
Let b(c) = c - 1 + 1. Let x(s) = -10*s**2 + 4*s + 2. Let f(l) = -5*b(l) + x(l). Let y(w) = -9*w**2 - 2*w + 2. Let u(g) = 5*f(g) - 6*y(g). Factor u(t).
(t + 2)*(4*t - 1)
Let t = -97 + 199/2. Determine h so that -4*h - 1/2*h**3 + 2 + t*h**2 = 0.
1, 2
Let g be 29/58 + (-2)/(-12). Solve -g*t - 1/3*t**2 + 0 = 0.
-2, 0
Suppose 7*w - 5*w - 14 = 0. Let t be w/2 - (1 + 1). Factor 3/2*l**3 + 0 + t*l**2 + 1/2*l + 1/2*l**4.
l*(l + 1)**3/2
Suppose 0 = -34*m + 33*m. Factor 3/4*o**2 + 3/2*o + m.
3*o*(o + 2)/4
Let x = 1 + 2. 