e second derivative of -3*x + 1/8*x**2 + 1/12*x**3 + 1/48*x**4 + o. Factor d(c).
(c + 1)**2/4
Let c(h) = -3*h**3 - 6*h**2 + 44*h + 90. Let z be c(-2). Let -5/4*s + 5/2*s**z - 5/2 + 5/4*s**3 = 0. What is s?
-2, -1, 1
Let i(z) be the second derivative of 7/60*z**4 + 1/15*z**3 - 3*z + 0*z**2 - 1/25*z**5 + 0. What is y in i(y) = 0?
-1/4, 0, 2
Let z(w) be the first derivative of 7/12*w**2 - 1/9*w**3 + 4 - 7/24*w**4 + 1/3*w. Solve z(c) = 0.
-1, -2/7, 1
Let c(u) = 6*u**4 + 96*u**3 - 153*u**2 + 9*u - 9. Let z(r) = -r**4 - 24*r**3 + 38*r**2 - 2*r + 2. Let w(i) = -2*c(i) - 9*z(i). Solve w(f) = 0.
0, 2, 6
Let r(x) be the second derivative of x**7/14 + 3*x**6/10 + 3*x**5/10 - x**4/2 - 3*x**3/2 - 3*x**2/2 + 47*x. Factor r(c).
3*(c - 1)*(c + 1)**4
Let l(s) be the second derivative of 2/75*s**6 - 1/6*s**3 + 0 + 1/210*s**7 - 1/30*s**4 - 1/5*s**2 + 1/25*s**5 - 11*s. Determine u, given that l(u) = 0.
-2, -1, 1
Let c(g) be the third derivative of -g**6/1980 + g**5/220 + g**4/33 + 19*g**3/6 + 17*g**2. Let h(d) be the first derivative of c(d). Let h(s) = 0. What is s?
-1, 4
Let h = 3 + 0. Suppose 7 - 3 = n + 4*k, n - 5 = -h*k. Solve 2*z**2 + n*z + 2*z**2 + 5 + 3*z**4 - 8*z**3 - 3 - 9*z**4 = 0 for z.
-1, -1/3, 1
Let v(f) = -1 + 7 + 4 + f. Let r be v(-6). Factor -3*w**3 - w**2 + 79*w - w**5 - 3*w**r - 79*w.
-w**2*(w + 1)**3
Let d be (-32)/96 - (9/126)/(6/(-124)). Factor 0 - d*b**2 - 2/7*b**4 + 0*b - 8/7*b**3.
-2*b**2*(b + 2)**2/7
Let m(t) = -t**2 - 9*t - 4. Let n be m(-8). Find b, given that n*b**2 - 4 + 20*b + 8*b**2 - 7*b**2 - 21 = 0.
-5, 1
Let g(o) be the third derivative of o**5/270 - 23*o**4/54 + 529*o**3/27 - o**2 - 19. Factor g(p).
2*(p - 23)**2/9
Let k = 55/107 + -171/749. Factor -5/7*g**2 - 1/7*g**4 - k*g + 0 - 4/7*g**3.
-g*(g + 1)**2*(g + 2)/7
Suppose -x = -4*r + 16, -2*x + 2*r - r = 4. Let v(i) be the first derivative of 3/8*i**2 - 1/2*i**3 + x*i + 4. Determine c, given that v(c) = 0.
0, 1/2
Let w(q) be the third derivative of -2*q**7/35 - q**6/3 + 11*q**5/15 + 5*q**4/3 - 16*q**3/3 + 5*q**2 - 21*q. Suppose w(z) = 0. Calculate z.
-4, -1, 2/3, 1
Let d(v) = 6*v**5 - 28*v**4 + 9*v**3 + 4*v**2 - 3*v. Let t(s) = s**5 + s**4 + s**3 + s. Let n(f) = -d(f) - 3*t(f). Determine b, given that n(b) = 0.
-2/9, 0, 1, 2
Let m(a) be the second derivative of a**5/60 + a**4/24 - 11*a**2 - 11*a. Let t(d) be the first derivative of m(d). Find c such that t(c) = 0.
-1, 0
Let k be (6/(-78))/(2/(-4)). Let n be 6 - (1 - (-1 - 14/7)). Factor -k*d**n - 6/13*d - 4/13.
-2*(d + 1)*(d + 2)/13
Let z(p) = -19*p**3 - 283*p**2 - 693*p + 967. Let f(n) = 6*n**3 + 94*n**2 + 230*n - 322. Let x(w) = 7*f(w) + 2*z(w). Factor x(c).
4*(c - 1)*(c + 4)*(c + 20)
Suppose -2*o = -7 + 3. Let c be 1/((-1)/(-10)*o). What is l in -3*l**5 + 4*l**3 + 0*l**c - 2*l + l**5 = 0?
-1, 0, 1
Solve -720*n + 32400 - 178*n**2 + 546*n**2 - 178*n**2 - 186*n**2 = 0 for n.
90
Let r be (50/15)/((-1)/(-3)). Suppose -13*a = r*a - 69. Factor -96/5*x**2 - 256/5 + 256/5*x - 1/5*x**4 + 16/5*x**a.
-(x - 4)**4/5
Solve -11/5*j**3 + 0 - 24/5*j**2 + 36/5*j - 1/5*j**4 = 0 for j.
-6, 0, 1
Suppose 1226 - 1386 = -80*r. Determine q so that -10/13*q**r - 8/13 - 2/13*q**3 - 16/13*q = 0.
-2, -1
Let x(m) be the second derivative of -m**4/3 + 85*m**3/3 - 42*m**2 + 35*m. Factor x(s).
-2*(s - 42)*(2*s - 1)
Factor 32/5 + 2/5*v**2 + 16/5*v.
2*(v + 4)**2/5
Let s = 2407/25674 + -7/389. Let i = s + 19/330. Determine z so that -i*z**4 + 4/15 - 2/15*z**2 + 2/5*z**3 - 2/5*z = 0.
-1, 1, 2
Let h(o) be the third derivative of -3*o**2 + 0*o - 13 + 1/225*o**5 + 2/9*o**3 + 1/900*o**6 - 13/180*o**4. Solve h(y) = 0 for y.
-5, 1, 2
Let o = 12 + -10. Let t = o - -3. Suppose 0*i**t + 5*i - 4*i**5 + 10*i**3 + 10*i**2 + 5*i**4 + 0*i**5 + 5*i**5 + 1 = 0. Calculate i.
-1
Factor -14*o + 11/2*o**2 + 6.
(o - 2)*(11*o - 6)/2
Suppose 62/3*b - 961/3 - 1/3*b**2 = 0. Calculate b.
31
Let k(w) be the third derivative of w**6/180 + w**5/10 + 3*w**4/4 + 3*w**3 - 58*w**2. Factor k(y).
2*(y + 3)**3/3
Let x(k) be the third derivative of k**8/90720 - k**7/11340 - k**6/1080 - k**5/30 + 7*k**2. Let i(t) be the third derivative of x(t). Factor i(j).
2*(j - 3)*(j + 1)/9
Let m(h) be the third derivative of 23*h**2 + 0*h**3 + 1/390*h**5 + 0*h - 1/52*h**4 + 0. Find i, given that m(i) = 0.
0, 3
Let w(g) = -2*g**2 + 62*g - 12. Let m(h) = h - 1. Let a(z) = -12*m(z) + w(z). Factor a(q).
-2*q*(q - 25)
Let l(k) be the second derivative of 0 - 343/2*k**2 + 49/2*k**3 - 7/4*k**4 + 1/20*k**5 - 17*k. Let l(q) = 0. Calculate q.
7
Suppose 5*n - 9 = 2*n. Suppose 2*o = 4*r + 10, -n*r + 0*r + 9 = 4*o. Factor 0*v**o + 0 + 1/3*v**4 - 1/3*v**2 + 0*v.
v**2*(v - 1)*(v + 1)/3
Let o = -7/590 + 2381/1770. Factor -o*w**2 - 2/3*w**3 + 8/3*w + 1/3*w**4 + 0.
w*(w - 2)**2*(w + 2)/3
Let v(c) be the third derivative of c**6/40 - 9*c**5/5 + 81*c**4/2 + 29*c**2 - 6*c. Factor v(k).
3*k*(k - 18)**2
Let f be (3 - 92/28)/(20 - 8450/420). Factor f + 2/5*u**2 + 14/5*u.
2*(u + 1)*(u + 6)/5
Let p(d) be the second derivative of d**4/72 + 5*d**3/18 + 25*d**2/12 + 6*d + 2. Suppose p(m) = 0. Calculate m.
-5
Suppose 0 = 2*a - 5*t - 278, 0*t + 695 = 5*a + 4*t. Factor -2*f + 283*f**3 - 2*f**5 - 140*f**3 - a*f**3.
-2*f*(f - 1)**2*(f + 1)**2
Let r = -471 + 476. Let c(o) be the first derivative of 1/5*o**2 - r - 1/15*o**3 + 3/5*o. Factor c(a).
-(a - 3)*(a + 1)/5
Let i(r) = -r**4 - r**3 + 56*r**2 + 144*r + 80. Let m(f) = -10*f**4 - 10*f**3 + 505*f**2 + 1295*f + 720. Let v(y) = -35*i(y) + 4*m(y). Solve v(b) = 0 for b.
-2, -1, 4
Let s(u) be the third derivative of -u**6/30 + 43*u**5/15 - 133*u**2. Factor s(z).
-4*z**2*(z - 43)
Factor 0*y + 11/2*y**4 + 128/3*y**2 - 1/6*y**5 + 0 - 48*y**3.
-y**2*(y - 16)**2*(y - 1)/6
Let h be ((-2)/(-7))/(-21 + 4256/196). Factor 0 - h*c**2 - 6/5*c.
-2*c*(c + 3)/5
Let s(b) = -b**2 - 92*b + 2786. Let y be s(24). Factor 4/3*m + 5/3 - 1/3*m**y.
-(m - 5)*(m + 1)/3
Let s(u) = -u**2 + 5*u. Let f be s(6). Let g = 8 + f. Let 2*b + 2*b**3 - 2 - 3 + 7 - 4*b - g*b**2 = 0. What is b?
-1, 1
Let l = 33 - 23. Factor a**2 - 10*a + 21*a - l*a.
a*(a + 1)
Factor 3*p - 24*p**2 - 3*p**3 - 22*p**2 + 6 + 40*p**2.
-3*(p - 1)*(p + 1)*(p + 2)
Let r(t) = 5*t**5 + 10*t**3 - 5*t. Let c(g) = -2*g**5 - g**3 + g. Let y(q) = -5*c(q) - r(q). Factor y(z).
5*z**3*(z - 1)*(z + 1)
Let q(m) = 12*m**5 - 26*m**4 + 94*m**3 - 46*m**2 - 96*m + 82. Let l(v) = -v**5 + 5 - 4 - 2. Let g(x) = 10*l(x) + q(x). Determine a so that g(a) = 0.
-1, 1, 6
Factor 0*k - 2/3*k**2 + 2/3.
-2*(k - 1)*(k + 1)/3
Let r be (-4)/8 + (-3)/2. Let o(i) = 3*i**3 + 18*i**2 + 22*i. Let p(m) = m**3 + m**2 - m. Let f(u) = r*p(u) - o(u). Factor f(j).
-5*j*(j + 2)**2
Suppose -2*r + v - 46 = 0, -4*r - v + 0*v - 86 = 0. Let c = r + 26. Let -2*m + 4*m**2 - 4*m**3 + 5*m - 3*m**4 - m**c + m = 0. Calculate m.
-1, 0, 1
Factor 41*l**2 - 61*l - 149*l - 46*l**2 - 2205.
-5*(l + 21)**2
Solve 65*x**2 - 60*x**3 - 2145*x**4 + 2140*x**4 + 7*x - 7*x = 0 for x.
-13, 0, 1
Factor -51*v**2 - 39*v**2 - 13*v + 89*v**2 - 8*v.
-v*(v + 21)
Factor 665*u**2 + 20*u + 658*u**2 - 1321*u**2 - 2*u**3 + 16.
-2*(u - 4)*(u + 1)*(u + 2)
Suppose -56/15*w - 16/15*w**3 + 2/15*w**4 + 8/5 + 46/15*w**2 = 0. What is w?
1, 2, 3
Let b(m) be the second derivative of -5/3*m**4 + 0 + 3*m + 8*m**3 - 8*m**2. Suppose b(u) = 0. What is u?
2/5, 2
Let w(l) be the first derivative of -3/5*l**5 + 6*l**2 + 8*l + 7 - 2*l**3 - 11/4*l**4. Suppose w(p) = 0. Calculate p.
-2, -2/3, 1
Let b be 2 + 3 - 12/4. Let q = 0 + b. Solve -7*s**3 + 5*s**4 + 4*s**2 + 0 - 2*s**q + 0 = 0 for s.
0, 2/5, 1
Let w = -7851/14 - -561. Let m(h) be the first derivative of 2/35*h**5 + 1/21*h**6 - 2/7*h**2 - w*h**4 + 0*h - 3 - 10/21*h**3. Factor m(v).
2*v*(v - 2)*(v + 1)**3/7
Let i = -28 + 33. Let -17*y**i + 4*y**2 + 21*y**5 + 9*y**4 + 3*y**4 + 12*y**3 = 0. What is y?
-1, 0
Factor 744*u**2 - 5600*u + 2*u**4 + 2201 + 216*u**2 - 72*u**3 + 320 + 7546 + 1933.
2*(u - 10)**3*(u - 6)
Solve 0 + 4/3*i**4 + 2/9*i**3 + 0*i - 4/3*i**2 - 2/9*i**5 = 0.
-1, 0, 1, 6
Let j(q) be the first derivative of -5*q**5 - 5*q**4/2 + 64*q**3/3 - 16*q**2 + 665. Solve j(k) = 0.
-2, 0, 4/5
Let b(t) = -1. Let z be (-5 + 0)*(-23 - -22). Let x(y) = -y - 2 - z*y + 5*y**2 - 2*y + 10. Let s(j) = 15*b(j) + 3*x(j). What is n in s(n) = 0?
3/5, 1
Let s(t) be the second derivative of 0*t**2 - 2/7*t**3 - 3/70*t**5 + 0