h that 6/13*i**4 - 4/13*i - 10/13*i**g + 8/13*i**3 + 0 = 0.
-2, -1/3, 0, 1
Factor 20 - 4*p**2 + 10 - 94 - 40*p.
-4*(p + 2)*(p + 8)
Let x(q) be the third derivative of -q**8/3360 + q**7/420 - q**5/15 - 13*q**4/24 + 9*q**2. Let b(i) be the second derivative of x(i). Factor b(c).
-2*(c - 2)**2*(c + 1)
Factor 16 - 15*j**2 - 15 - 122 + 11*j**2 - 91 - 216*j.
-4*(j + 1)*(j + 53)
Let s(g) be the second derivative of g**6/30 - g**5/10 - g**4/4 - 95*g + 2. Factor s(y).
y**2*(y - 3)*(y + 1)
Let t = 40 - 35. Let r be (3 + 1)*t/30. Factor r*j**3 - 8/9*j + 0*j**2 + 2/9*j**4 + 0.
2*j*(j - 1)*(j + 2)**2/9
Suppose -3*w + 246 = 12*h - 8*h, 3*h = 3*w - 225. Let n = w - 388/5. Let 2/5*o**4 + 6/5*o**3 - 4/5 - 6/5*o + n*o**2 = 0. Calculate o.
-2, -1, 1
Let t(n) be the third derivative of -n**5/90 + n**4/3 - 20*n**3/9 + 335*n**2. Factor t(y).
-2*(y - 10)*(y - 2)/3
Let r(a) be the third derivative of a**6/720 - a**5/240 - a**4/24 + a**3/2 + a**2. Let b(h) be the first derivative of r(h). Factor b(z).
(z - 2)*(z + 1)/2
Let x be 350/420 + (-38)/(-12). Determine b so that 0 + 0*b**2 - 3/7*b**5 + 6/7*b**x - 3/7*b**3 + 0*b = 0.
0, 1
Suppose -2777 + a**2 + 2787 + 0*a**2 - 7*a = 0. What is a?
2, 5
Let m(w) be the third derivative of 1/660*w**5 - 1/132*w**4 + 0 + 0*w + 1/66*w**3 - 17*w**2. Factor m(g).
(g - 1)**2/11
Factor 0 + 0*y - 4/3*y**2.
-4*y**2/3
Let s(g) be the third derivative of g**7/560 - 11*g**6/320 - 7*g**5/20 - 15*g**4/16 + 4*g**2 + 13*g. Find c, given that s(c) = 0.
-2, 0, 15
Let u be (0 - 0)*(8 + -3)/15. Let k be (u + 3)/((-6)/(-4)) + 0. Factor -12/7 - 4/7*j**k - 16/7*j.
-4*(j + 1)*(j + 3)/7
Let 0 + 1/2*u**2 + 3/2*u = 0. What is u?
-3, 0
Let y(h) = 5*h**3 - 46*h**2 - 115*h - 56. Let z(a) = -a**2 - 1. Let g(u) = y(u) + 4*z(u). Determine m so that g(m) = 0.
-1, 12
Let p(j) be the second derivative of j**7/1260 - j**6/120 - j**5/15 + 5*j**4/12 + 28*j. Let s(x) be the third derivative of p(x). Factor s(l).
2*(l - 4)*(l + 1)
Let b be (-540)/(-24)*(-8)/(-6). Factor 121 + 76*d + 3*d**3 + 9*d**2 - 13 + 68*d + b*d**2.
3*(d + 1)*(d + 6)**2
Let t = -415 - -415. Let y(n) be the third derivative of -1/2*n**4 + 1/20*n**5 + t*n + 0 - 5*n**2 + 2*n**3. Factor y(j).
3*(j - 2)**2
Let q(z) be the first derivative of -z**7/84 + z**5/40 + 14*z - 4. Let o(h) be the first derivative of q(h). Factor o(s).
-s**3*(s - 1)*(s + 1)/2
Let x(z) be the third derivative of 2*z - 32/21*z**3 + 26/21*z**4 - 7/60*z**5 + 1/280*z**6 + 7*z**2 + 0. Factor x(q).
(q - 8)**2*(3*q - 1)/7
Let g(r) be the third derivative of 16*r**2 + 0 - 10/3*r**3 + 1/12*r**5 - 5/8*r**4 + 0*r. Factor g(s).
5*(s - 4)*(s + 1)
Let i(a) be the third derivative of -a**7/1155 - 3*a**6/220 - 7*a**5/110 - 19*a**4/132 - 2*a**3/11 + 131*a**2 - 2. Factor i(u).
-2*(u + 1)**3*(u + 6)/11
Let t(v) be the first derivative of -10*v**2 + 15 + 265/4*v**4 - 28*v**5 + 25/6*v**6 - 170/3*v**3 + 40*v. Determine w so that t(w) = 0.
-2/5, 1, 2
Let n(b) be the third derivative of -b**5/140 - b**4/28 + 4*b**3/7 + 8*b**2 + 7. Factor n(l).
-3*(l - 2)*(l + 4)/7
Let h(q) = q**4 - 2*q**2 - 1. Let n(z) = -7*z**4 + 18*z**3 - 4*z**2 - 18*z + 21. Let i(m) = -5*h(m) - n(m). Factor i(k).
2*(k - 8)*(k - 1)**2*(k + 1)
Let j = 10231/5 - 2055. Let o = j - -9. Factor -1/5*i**2 + 1/5*i**3 + 1/5 - o*i.
(i - 1)**2*(i + 1)/5
Find a, given that -1161/4*a**2 + 381/8*a**3 + 1215/2*a - 21/8*a**4 - 81 = 0.
1/7, 6
Let o(j) be the second derivative of 5*j**4/12 + 230*j**3/3 + 455*j**2/2 - 35*j + 1. Factor o(h).
5*(h + 1)*(h + 91)
Let b(f) be the first derivative of 1/3*f**2 - 2/9*f**3 - 9 + 0*f. Suppose b(i) = 0. Calculate i.
0, 1
Let j(l) be the first derivative of l**2 - 19*l - 3. Let o be j(11). Factor 2 + h**2 + 2 - o - 3*h + h.
(h - 1)**2
Let c(k) = -k**2 + 2. Let x(m) = 3*m**2 - 4*m - 12. Let v(f) = -5*c(f) - x(f). Find z, given that v(z) = 0.
-1
Let o(c) be the third derivative of c**5/30 - c**4/3 + c**3 - 81*c**2. Determine i so that o(i) = 0.
1, 3
Let m be (-374)/110*4/(-34). Factor 0*a**3 - 1/5 + 0*a + m*a**2 - 1/5*a**4.
-(a - 1)**2*(a + 1)**2/5
Let y(n) be the second derivative of n**7/98 + 11*n**6/140 + n**5/5 + n**4/7 - n**2 + 21*n. Let f(j) be the first derivative of y(j). Factor f(v).
3*v*(v + 2)**2*(5*v + 2)/7
Factor 24/13*u + 74/13*u**2 + 6*u**3 + 0 + 2/13*u**5 + 30/13*u**4.
2*u*(u + 1)**3*(u + 12)/13
Let q = 221/2 + -110. Suppose -5*p = -4*y + 6, 2*y = -0*y - 4*p + 16. Factor -m**2 + 1/2*m**5 + 1/2 + q*m - m**3 + 1/2*m**y.
(m - 1)**2*(m + 1)**3/2
Suppose 10*v - 86 + 6 = 0. Let b(x) be the third derivative of 1/360*x**6 + 0*x**3 + 0*x**4 + 0*x**7 + 0 - 1/1008*x**v - 5*x**2 + 0*x + 0*x**5. Solve b(n) = 0.
-1, 0, 1
Let b(n) be the second derivative of -2*n**7/21 + 4*n**6/15 + 3*n**5/5 - 4*n**4/3 - 8*n**3/3 - 337*n. Factor b(u).
-4*u*(u - 2)**2*(u + 1)**2
Suppose 0 = 2*j - 7 + 3. Factor -5 + 17*x**3 - 11*x**3 + 5*x + 5*x**j - 11*x**3.
-5*(x - 1)**2*(x + 1)
Let w(j) be the third derivative of 1/42*j**5 + 0*j + 1/42*j**4 - 4*j**2 + 1/735*j**7 + 0*j**3 + 1/105*j**6 + 0. Factor w(h).
2*h*(h + 1)**2*(h + 2)/7
Let t(u) be the third derivative of 7*u**8/72 - 7*u**7/45 - u**6/45 + 2*u**5/45 + 145*u**2. Determine r so that t(r) = 0.
-2/7, 0, 2/7, 1
Suppose 17*d - 110 + 22 = -27*d. Solve 8/11 + 1922/11*a**d - 248/11*a = 0 for a.
2/31
Let b be -10 + 2 - (2 - -1). Let t = -52/5 - b. Factor 4/5*a**3 + t*a**2 + 1/5*a**4 - 4/5 - 4/5*a.
(a - 1)*(a + 1)*(a + 2)**2/5
Factor -6/5*z**2 - 2/5*z**5 + 0*z - 2*z**4 + 0 - 14/5*z**3.
-2*z**2*(z + 1)**2*(z + 3)/5
Let i(f) be the first derivative of 2*f**3/51 + 42*f**2/17 + 882*f/17 + 86. Factor i(v).
2*(v + 21)**2/17
Let v(c) be the second derivative of 0*c**5 + 0*c**2 + 0 + 7*c - 1/12*c**4 + 1/30*c**6 + 1/12*c**3 - 1/84*c**7. Factor v(g).
-g*(g - 1)**3*(g + 1)/2
Factor 4/3*z**2 - 8/3 - 2/9*z**3 - 10/9*z.
-2*(z - 4)*(z - 3)*(z + 1)/9
Let v(z) be the first derivative of -z**4/8 - 4*z**3/3 - 5*z**2/4 + 7*z + 39. Determine x, given that v(x) = 0.
-7, -2, 1
Let w(r) be the third derivative of r**9/151200 - r**7/12600 + r**5/5 + 30*r**2. Let l(x) be the third derivative of w(x). Factor l(a).
2*a*(a - 1)*(a + 1)/5
Determine s so that 1568/11*s - 420/11*s**2 + 48/11*s**3 - 2058/11 - 2/11*s**4 = 0.
3, 7
Suppose 4*u = 8, -m + 2 = 2*u - 5. Let x(v) be the second derivative of -3/2*v**4 + v - 1/15*v**6 + 1/2*v**5 + 0 - 2*v**2 + 7/3*v**m. Let x(h) = 0. Calculate h.
1, 2
Let j(f) = 11*f**2 - f. Let k be j(0). Let i(q) be the second derivative of q + 1/9*q**3 - 2/3*q**2 + 1/18*q**4 + k. Factor i(p).
2*(p - 1)*(p + 2)/3
Let m(a) = -a**2 - 2*a - 1. Let g(r) = 5*r**4 - 50*r**3 - 20*r**2 + 70*r + 35. Let q(u) = g(u) + 35*m(u). What is t in q(t) = 0?
-1, 0, 11
Let m(s) be the first derivative of -4*s**5/5 + 14*s**4 - 64*s**3 - 28*s**2 + 196*s + 107. Determine g, given that m(g) = 0.
-1, 1, 7
Solve 3/2*x**3 - x + 0 + 1/2*x**2 = 0.
-1, 0, 2/3
Suppose -9*o - 4*f = -4*o - 66, 5*f + 61 = 4*o. Let z be o/4*(-22)/121 + 1. Determine d, given that -z*d**3 + 0*d - 2/11 + 6/11*d**2 = 0.
-1/2, 1
Let y(t) = t**3 - 5*t**2 + 7*t - 1. Suppose 0 = 7*x + 5 - 26. Let m be y(x). Let 8/9*h - 2/9*h**m - 8/9 = 0. Calculate h.
2
Let x be (-1071)/119 - (-111)/12. Factor -3/4 - 1/2*h + x*h**2.
(h - 3)*(h + 1)/4
Suppose -8*l - 1/2*l**5 - 1/2*l**3 - 3*l**4 + 12*l**2 + 0 = 0. Calculate l.
-4, 0, 1
Let t(p) be the second derivative of p**5/20 + p**4/12 - p**3/3 + 19*p + 1. Factor t(o).
o*(o - 1)*(o + 2)
Let -3*w + 9/5 - 1/5*w**3 + 7/5*w**2 = 0. Calculate w.
1, 3
Solve 28*h**4 - 16*h**4 + 5*h**5 - 40*h - 20*h**2 + 30*h**3 + 13*h**4 = 0 for h.
-2, 0, 1
Let c(u) be the third derivative of 0*u + 0 + 1/15*u**5 - 4/3*u**3 + 1/6*u**4 + 10*u**2. Determine m so that c(m) = 0.
-2, 1
Let f(b) be the second derivative of 2*b**7/21 + 13*b**6/10 + 13*b**5/10 - 3*b**4/4 + 364*b. Determine v so that f(v) = 0.
-9, -1, 0, 1/4
Find x, given that -15*x + 5*x**4 + 30*x**2 - 18*x**3 - 40 - 7*x**3 + 35*x = 0.
-1, 2
Let q be (1 - -5) + -1 + 1. Factor n - 4*n - 4*n**3 + 2 + q*n - 2*n**4 + n.
-2*(n - 1)*(n + 1)**3
Factor 233*t**4 + 12*t**3 + 9*t**2 - 17*t**2 - 237*t**4.
-4*t**2*(t - 2)*(t - 1)
Let m(z) be the third derivative of -z**6/80 - 7*z**5/60 - 5*z**4/12 - 2*z**3/3 + 214*z**2. Suppose m(s) = 0. What is s?
-2, -2/3
Let u = 16802 - 16798. Solve -2 - 7/3*i**3 - 17/3*i**2 - 17/3*i - 1/3*i**u = 0 for i.
-3