 - 45*x(l). Determine r so that t(r) = 0.
11
Let i(m) be the third derivative of -m**6/168 - m**5/60 + m**4/21 + 2*m**3/21 - 7*m**2. Factor i(d).
-(d - 1)*(d + 2)*(5*d + 2)/7
Let 0*g + 3/2*g**5 - 3/2*g**3 - 3/2*g**2 + 0 + 3/2*g**4 = 0. Calculate g.
-1, 0, 1
Let p(h) be the second derivative of 1/4*h**4 - 1/2*h**3 + 0 - 3*h**2 + 9*h. Factor p(u).
3*(u - 2)*(u + 1)
Suppose -5*o + 2*h - 12 - 11 = 0, -14 = -2*o - 5*h. Let r(p) = -2*p**2 - p + 4. Let g(w) = -2*w**2 - w + 3. Let y(q) = o*g(q) + 2*r(q). Factor y(z).
(z + 1)*(2*z - 1)
Factor -v**3 + 1/2 - 1/2*v**2 + v.
-(v - 1)*(v + 1)*(2*v + 1)/2
Let t(o) = 13*o**3 - o. Let u = 6 - 5. Let z be t(u). Find j, given that -4*j + 3*j**4 - 10*j - z*j**3 + 3 + 2*j + 18*j**2 + 0*j = 0.
1
Factor d**3 - 4*d**3 - 9*d**2 + 41*d + 6 + 3*d**4 - 38*d.
3*(d - 2)*(d - 1)*(d + 1)**2
Let t(q) = -q**3 + q**2 - 3. Let m(j) = -7*j**3 - 2*j**3 + 5*j**3 - 14 + 6*j**2. Let o be (-58)/4 - (-3)/6. Let z(x) = o*t(x) + 3*m(x). Factor z(a).
2*a**2*(a + 2)
Let r(k) = 13*k**3 - 5*k**2 + k. Let w be 56/(-21) - (-2)/3. Let g(l) = 3*l**3 - l**2. Let x(a) = w*r(a) + 9*g(a). Factor x(m).
m*(m - 1)*(m + 2)
Let k be (5 - (5 - 2)) + 0. Find g such that -4*g + 2*g + 3*g - 3*g**3 + 2*g + 6 - 6*g**k = 0.
-2, -1, 1
Let s(r) = r**2 - r - 1. Let n(l) = l**2 - 2. Let c(m) = n(m) - 2*s(m). Factor c(z).
-z*(z - 2)
Let -1/4 - 1/4*z**4 + 1/2*z**2 + 0*z**3 + 0*z = 0. What is z?
-1, 1
Let y(j) = -2*j**2 - 3*j + 2. Let i be y(-2). Factor 2/7*t**2 + i - 2/7*t.
2*t*(t - 1)/7
Let x = -88 - -88. Factor -1/4*u**4 + 0*u**3 + 0*u + 0*u**2 + x.
-u**4/4
Let p(z) be the first derivative of -81*z**4/2 + 48*z**3 - 21*z**2 + 4*z + 10. Solve p(h) = 0 for h.
2/9, 1/3
Let o be ((-6)/(-4) - -1)/(49 - 44). Factor -1/2*m**2 + o*m**3 - 1/2*m**5 + 0 + 0*m + 1/2*m**4.
-m**2*(m - 1)**2*(m + 1)/2
Let v(q) = 77*q**2 - 88*q + 29. Let z(h) = 540*h**2 - 615*h + 204. Let l(i) = -15*v(i) + 2*z(i). Solve l(n) = 0.
3/5
Factor -32/3 - 2/3*b**2 - 16/3*b.
-2*(b + 4)**2/3
What is f in -1 + 7*f + 59*f**2 + 11 - 58*f**2 = 0?
-5, -2
Factor 0 + 7/6*p**3 + 0*p + 1/6*p**2.
p**2*(7*p + 1)/6
Let z(h) be the second derivative of 1/24*h**3 - 8*h - 3/80*h**5 + 0 - 1/24*h**4 + 0*h**2. Find p such that z(p) = 0.
-1, 0, 1/3
Let t(r) be the third derivative of r**7/490 - 3*r**6/280 + r**5/140 + 3*r**4/56 - r**3/7 + 5*r**2. Factor t(q).
3*(q - 2)*(q - 1)**2*(q + 1)/7
Let y(d) = 5*d**5 - 3*d**4 - 8*d**3 - 2*d**2 - 3*d + 5. Let n(h) = h**5 - h**4 - h**3 - h + 1. Let f(l) = 6*n(l) - y(l). What is x in f(x) = 0?
-1, 1
Let q = 32 + -12. Let f be (-3)/(-15) + 6/q. Find p, given that -5/6*p**3 + 0 - f*p**2 + 1/3*p = 0.
-1, 0, 2/5
Let v(z) be the first derivative of -z**4/16 + 5*z**3/12 - z**2/2 + 6. What is x in v(x) = 0?
0, 1, 4
Let g(b) = -b**4 - 9*b**3 + 4*b + 4. Let w(c) = c**4 + 19*c**3 - 9*c - 9. Let d(a) = -9*g(a) - 4*w(a). Suppose d(r) = 0. Calculate r.
-1, 0
Suppose -4*p + 2 = -2. Let j be p - -1*(-3)/(-5). Determine r so that 6/5*r**3 + 0 + 8/5*r**2 - 8/5*r + 2/5*r**5 - j*r**4 = 0.
-1, 0, 1, 2
Factor 2 + 4/3*d - 8/3*d**2 + 2/3*d**4 - 4/3*d**3.
2*(d - 3)*(d - 1)*(d + 1)**2/3
Let p(z) be the second derivative of -z**4/126 + 2*z**3/63 - z**2/21 - 16*z. Factor p(c).
-2*(c - 1)**2/21
Let -2*q**4 - 2*q - 2*q**5 - q**4 + 3*q**4 + 4*q**3 = 0. Calculate q.
-1, 0, 1
Let r = 10 - 5. Let x be r/4*(-6)/(-15). Factor 0 - 1/4*t + x*t**2.
t*(2*t - 1)/4
Factor -2*t**2 + t**2 + 4 + t - 2.
-(t - 2)*(t + 1)
Let l(y) be the second derivative of -y**7/147 - 2*y**6/105 + y**5/35 + 4*y**4/21 + y**3/3 + 2*y**2/7 - 19*y. Let l(d) = 0. What is d?
-1, 2
Let s(n) be the third derivative of 2*n**7/105 - n**6/15 + n**5/15 - 13*n**2. Factor s(w).
4*w**2*(w - 1)**2
Suppose 5*c = 5*f + 15, 4*c + 0*f - 7 = 3*f. Let s = c + 4. Factor -5/4*z**s + 1/2 - 3/4*z.
-(z + 1)*(5*z - 2)/4
Find c such that -4 - 2/7*c**2 + 18/7*c = 0.
2, 7
Let k(t) be the first derivative of t**3/2 - 3*t/2 - 1. Factor k(m).
3*(m - 1)*(m + 1)/2
Suppose -2/9*w**2 + 8/9*w + 10/9 = 0. What is w?
-1, 5
Let -28/9*o**2 + 8/3*o**4 - 8/9*o**3 + 14/9*o**5 + 4/9 - 2/3*o = 0. Calculate o.
-1, 2/7, 1
Let z(h) be the second derivative of -5*h**4/12 + 10*h**3/3 - 10*h**2 + 4*h. Factor z(a).
-5*(a - 2)**2
Suppose -14*p = -p - 65. Find f, given that 14/5*f**4 + 0*f + 0 + 0*f**2 + 4/5*f**3 + 6/5*f**p = 0.
-2, -1/3, 0
Let w be (12/21)/((-16)/(-56)). Let 0*m - 2/7 + 2/7*m**w = 0. Calculate m.
-1, 1
Let m(p) be the first derivative of p**4/10 - 8*p**3/15 + p**2 - 4*p/5 + 8. Find z such that m(z) = 0.
1, 2
Let r(t) be the third derivative of 2*t**7/175 - 7*t**6/600 - 7*t**5/300 + t**4/60 - 11*t**2. What is g in r(g) = 0?
-2/3, 0, 1/4, 1
Let c(v) be the first derivative of v**3/18 + 7*v**2/12 - 4*v/3 + 47. Let c(k) = 0. What is k?
-8, 1
Suppose -3*n + 2 = v + 8, -4*v - 5*n = 3. Factor 3/2*g + 0 - 6*g**2 + 9*g**v - 6*g**4 + 3/2*g**5.
3*g*(g - 1)**4/2
Let j be 1 - (0 + -3 + 2). Find n, given that 6*n + 0 + 4 + 0*n + 2*n**j = 0.
-2, -1
Factor 4/7*d**2 + 16/7 - 16/7*d.
4*(d - 2)**2/7
Factor 4*j + 14 + 37*j**2 - 21 - 33*j**2 - 17.
4*(j - 2)*(j + 3)
Let s(a) be the first derivative of a**6/720 - a**4/144 - a**2 + 5. Let u(r) be the second derivative of s(r). Suppose u(f) = 0. Calculate f.
-1, 0, 1
Let h be (1 - -3)/(0 - -2). Let i(o) be the first derivative of 0*o + 0*o**h - 1 - 1/6*o**3. Factor i(q).
-q**2/2
Let f(c) = 5*c**2 + 32*c + 14. Let x be f(-6). Factor -1/2*q**x + 1/2*q + 0.
-q*(q - 1)/2
Determine z so that -14*z - 13*z**3 + 2*z - 3*z**4 + 16*z**3 + 12*z**2 = 0.
-2, 0, 1, 2
Let n(o) be the third derivative of -o**6/60 - o**5/10 - o**4/4 - o**3/3 + 4*o**2. Factor n(u).
-2*(u + 1)**3
Let w be -1*3/(-3) + 1. Factor 0*u**w - 2*u**2 + 0*u**2 + u**3.
u**2*(u - 2)
Let t(l) be the second derivative of -l**3/3 - 3*l**2/2 - l. Let p be t(-3). Factor 2*n**2 + 0*n**5 + 4*n**p - 1 - 2*n**3 - n - n**4 - n**5.
-(n - 1)**2*(n + 1)**3
Let u(y) be the first derivative of -y**6/45 + 2*y**5/25 - y**4/15 - 9. Suppose u(s) = 0. What is s?
0, 1, 2
Suppose -x + 0*x = -3. Suppose j - 1 = 4. Let -8/3*m**4 + 0 + 2/3*m**j + 8/3*m**2 + 2*m**x - 8/3*m = 0. Calculate m.
-1, 0, 1, 2
Let s(t) be the second derivative of 0*t**4 + 0 - 3/14*t**7 + 1/5*t**6 + 0*t**3 + 8*t + 3/20*t**5 + 0*t**2. Factor s(j).
-3*j**3*(j - 1)*(3*j + 1)
Let p(j) be the first derivative of 0*j - 3/2*j**2 - 1/360*j**5 - 1/18*j**3 - 1/48*j**4 + 1. Let m(w) be the second derivative of p(w). Let m(d) = 0. What is d?
-2, -1
Factor 1/3*b**3 + 0 - 2/3*b + 1/3*b**2.
b*(b - 1)*(b + 2)/3
Let s(y) be the first derivative of 1 - 3/5*y - 3/4*y**4 + 3/2*y**2 + 12/25*y**5 - 3/5*y**3. Suppose s(n) = 0. What is n?
-1, 1/4, 1
Let x(v) = -v**3 + v + 1. Let n(l) = -l**3 + l. Let b be n(-2). Let d(z) = -54*z**4 - 114*z**3 - 72*z**2 - 14*z + 4. Let q(f) = b*x(f) - d(f). Factor q(r).
2*(r + 1)*(3*r + 1)**3
Let g = 1/20 + 1/5. Solve 1/2 - 1/4*o**2 + g*o = 0.
-1, 2
Let b(v) be the second derivative of v**7/2520 - v**6/180 + v**5/30 - 5*v**4/6 - 9*v. Let l(g) be the third derivative of b(g). Factor l(d).
(d - 2)**2
Let m(z) be the first derivative of 0*z**2 + 1/16*z**4 + 1/12*z**3 + 0*z + 2. Factor m(k).
k**2*(k + 1)/4
Factor -4 - 13*m**2 + 8*m + 9*m**2 + 0.
-4*(m - 1)**2
Let h = 13 + -205/16. Let x(m) be the first derivative of 1/20*m**5 - 1 - h*m**4 + 1/4*m**3 - 1/8*m**2 + 0*m. Let x(n) = 0. What is n?
0, 1
Let s(h) be the first derivative of 2*h**5/35 - h**4/14 - 2*h**3/7 + h**2/7 + 4*h/7 - 6. Let s(m) = 0. Calculate m.
-1, 1, 2
Factor 0*q**2 + 46 - 21 + 5*q**3 + 15*q**2 - 45*q.
5*(q - 1)**2*(q + 5)
Find v, given that 18*v**2 - 3*v**5 - 3724*v**4 + 24*v**3 - 21*v - 18 + 3724*v**4 = 0.
-2, -1, 1, 3
Let k(r) = r - 4 - 248*r**2 + 250*r**2 - 5*r. Let l be (-22)/6 - 4/(-6). Let f(y) = 2*y**2 - 3*y - 3. Let b(d) = l*k(d) + 4*f(d). Factor b(a).
2*a**2
Factor 3/2*b**4 - 3*b**2 + 3/2*b**5 - 3*b**3 + 3/2 + 3/2*b.
3*(b - 1)**2*(b + 1)**3/2
Let j(z) be the second derivative of 2*z**7/63 - 7*z**6/90 - z**5/30 - 45*z. Determine i so that j(i) = 0.
-1/4, 0, 2
Suppose 4*h = -4 - 4, 0 = 2*m - h + 22. Let r be m/(-30) - 4/10. Let 2/5*z**3 + 2/5*z**2 + r - 2/5*z - 2/5*z**4 = 0. Calculate z.
-1, 0, 1
Suppose 8/3*j - 24*j**2 - 12*j**4 + 170/3*j**3 - 70/3*j**5 + 0 = 0. What is j?
-2, 0, 1/5, 2/7, 1
Suppose 96 + 9 = 3*j. Let u be (-2)/5 + 24/j. Suppose 0 + 2/7*z**2 - u*z = 0. Calcul