 Let y(v) = t*o(v) - 2*r(v). Factor y(d).
-d**2*(d + 1)
Let g be (4 - 1 - 2)*(-1 + (-6 - -7)). Factor 1/10*k**5 + 1/5*k**3 + 0*k + 0*k**2 - 3/10*k**4 + g.
k**3*(k - 2)*(k - 1)/10
Factor t**4 + 42 - 41 - 2*t**2 + 0*t**4.
(t - 1)**2*(t + 1)**2
Let q(x) be the second derivative of 1/8*x**6 + x**3 - 1/4*x**4 - 9/40*x**5 - 1/56*x**7 - x + 0 + 0*x**2. Factor q(i).
-3*i*(i - 2)**3*(i + 1)/4
Let k(p) be the second derivative of -p**5/2 + 5*p**4/12 + 5*p**3/2 + 5*p**2/2 + 24*p. Let t(n) = n**3 - n - 1. Let d(m) = k(m) + 5*t(m). What is w in d(w) = 0?
-1, 0, 2
Factor 0*z**2 - 2/7*z**3 + 2/7*z**4 + 0 + 0*z.
2*z**3*(z - 1)/7
Suppose -2*b = -b - 4*k + 17, -2*b + 11 = k. Factor -6*u**2 + 7*u**2 + u + 0*u**3 - b*u**2 + u**3.
u*(u - 1)**2
Let d(b) be the second derivative of 0 + 1/6*b**3 + 0*b**4 - 1/180*b**6 + 5*b + 0*b**2 + 1/60*b**5. Let s(j) be the second derivative of d(j). Factor s(w).
-2*w*(w - 1)
Let a(p) = -10*p. Let t(j) = 13*j**3 - 5*j**3 - 7*j**3 - 31*j - 2*j**3. Let l(w) = 7*a(w) - 2*t(w). Factor l(d).
2*d*(d - 2)*(d + 2)
Let -414*b**3 - 60 + 818*b**3 - 409*b**3 + 65*b = 0. Calculate b.
-4, 1, 3
Let v(m) be the first derivative of m**4/20 + 22*m**3/15 + 78*m**2/5 + 72*m + 230. Factor v(q).
(q + 6)**2*(q + 10)/5
Let m be (-460)/69 + 2/(-6). Let v be 2/((-24)/m) + 105/(-420). Factor -v - 4/3*l + 1/3*l**2 + 4/3*l**3.
(l - 1)*(l + 1)*(4*l + 1)/3
Let c(w) = 11*w**5 - 8*w**4 - 3*w**3 - 7*w**2 - 7. Let d(p) = 10*p**5 - 8*p**4 - 2*p**3 - 6*p**2 - 6. Let b(x) = -6*c(x) + 7*d(x). What is n in b(n) = 0?
0, 1
Let i(l) = 8*l**2 - 5*l - 2. Let n be i(3). Suppose o + n = 6*o. Factor 6*s**2 + 2*s + 4*s**2 - o*s**2.
-s*(s - 2)
Let s be -5*6/(-45)*((-153)/(-18) + -6). Factor -5/3*a**4 + s*a**2 + 20/3*a + 0 - 20/3*a**3.
-5*a*(a - 1)*(a + 1)*(a + 4)/3
Factor -4*t**2 + 2/3*t**3 + 0 + 0*t.
2*t**2*(t - 6)/3
Factor 0 + 16/7*t - 2/7*t**2.
-2*t*(t - 8)/7
Let n(q) be the second derivative of 9*q**2 - 3/20*q**5 - q**4 + 0 + 20*q - 1/2*q**3. Suppose n(g) = 0. What is g?
-3, -2, 1
Factor 17/4*n + 5/4*n**3 + 3/2 + 4*n**2.
(n + 1)**2*(5*n + 6)/4
Let h(f) be the third derivative of 0*f + 1/30*f**6 + 0 + 1/30*f**5 + 0*f**4 + 0*f**3 + 2*f**2 + 1/105*f**7. Let h(r) = 0. Calculate r.
-1, 0
Let j(n) be the third derivative of 3*n**6/220 + 2*n**5/55 + n**4/33 - 7*n**2 - 2. Find f such that j(f) = 0.
-2/3, 0
Let f(l) be the third derivative of l**5/150 + 13*l**4/60 - 12*l**2. Factor f(o).
2*o*(o + 13)/5
Let t(j) = -5*j**2 + 33*j - 49. Let u(o) = 19*o**2 - 131*o + 197. Let n(b) = 22*t(b) + 6*u(b). Let n(r) = 0. Calculate r.
2, 13
Let t(g) = -2*g**3 - 6*g**2 - 24*g. Let i(k) = -2*k**2. Let y(h) = 20*i(h) - 2*t(h). Factor y(m).
4*m*(m - 4)*(m - 3)
Find t, given that -9/7 - 6/7*t - 1/7*t**2 = 0.
-3
Let g(p) be the third derivative of p**7/210 + 5*p**6/96 + 7*p**5/40 + 3*p**4/32 + 36*p**2 - 3. Find s such that g(s) = 0.
-3, -1/4, 0
Let q be (-27)/(2187/6)*-3. Factor -2/9*k**2 + 2/9 - q*k**3 + 2/9*k.
-2*(k - 1)*(k + 1)**2/9
Let u(y) be the first derivative of 1/18*y**4 + 3 + 0*y - 10/27*y**3 + 4/9*y**2. Determine p so that u(p) = 0.
0, 1, 4
Let s(v) = 2*v**3 - 8*v**2 + v - 1. Let h be s(4). Factor 73*b + 3*b**h + 2 - 2 - 76*b.
3*b*(b - 1)*(b + 1)
Suppose 6 = 2*h + h. Suppose -h*r**4 + 0*r**2 + 2 + 0*r**2 + 7*r - r**3 + 0*r**4 + 6*r**2 = 0. What is r?
-1, -1/2, 2
Solve 3/8*g**4 + 69/8*g - 27/8*g**2 - 9/8*g**3 - 9/2 = 0.
-3, 1, 4
Let y(u) be the third derivative of u**6/48 - 7*u**5/12 + 10*u**4/3 + 160*u**3/3 - 31*u**2 - 2. What is k in y(k) = 0?
-2, 8
Suppose 0 = w + 4*w - 110. Suppose 0 = 11*z - 0*z - w. Determine n, given that 0*n**z + 0 + 0*n + 1/5*n**3 + 0*n**4 - 1/5*n**5 = 0.
-1, 0, 1
Let j(w) = 8*w**5 + 32*w**4 - 36*w**3 - 68*w**2 + 4*w - 8. Let b(m) = m**5 + m**4 + m**3 - m**2 + m - 2. Let x(n) = 4*b(n) - j(n). Suppose x(q) = 0. What is q?
-8, -1, 0, 2
Let b(i) be the second derivative of -i**6/20 - 59*i**5/40 - 23*i**4/6 - 3*i**3 + 350*i. Let b(q) = 0. Calculate q.
-18, -1, -2/3, 0
Let w be (-1 + 1)/(-11 + 12). Let b(i) be the third derivative of 0*i + 0*i**4 - 1/20*i**5 - 1/40*i**6 + 0 + i**2 + w*i**3. Let b(u) = 0. Calculate u.
-1, 0
Let w be 1*(-1 - (-4 + -2)). Suppose -5*i - 10 = -5*z, -z - 1 = -w*i + 1. Factor 12 - 14*q**2 - q**2 - 6*q**z + q**2 - 4.
-2*(q + 1)*(q + 2)*(3*q - 2)
Let n(j) be the second derivative of 41/18*j**4 + 2/3*j**2 + 0 - 27*j + 29/45*j**6 - 17/10*j**5 - 2/21*j**7 - 5/3*j**3. Determine p, given that n(p) = 0.
1/3, 1/2, 1, 2
Let n(m) be the second derivative of m**4/20 + 17*m**3/15 + 11*m**2/10 - 140*m. Factor n(z).
(z + 11)*(3*z + 1)/5
Suppose 259 = 78*m + 103. Factor -8/3*n**m + 0 - 2/3*n**3 + 0*n.
-2*n**2*(n + 4)/3
Let a(z) be the second derivative of z**6/10 - 3*z**5/10 - z**4 + z**3 + 9*z**2/2 - z - 1. Determine b so that a(b) = 0.
-1, 1, 3
Let g(v) = -v**4 + v**3 + v + 1. Let k(x) = 13*x**4 - 36*x**3 - 12 - 5*x**4 + 8*x**3 - 12*x - 16*x**2. Let u(t) = -12*g(t) - k(t). Factor u(l).
4*l**2*(l + 2)**2
Let h(j) be the third derivative of j**8/53760 + j**7/10080 - 5*j**4/12 + 7*j**2. Let s(i) be the second derivative of h(i). Let s(l) = 0. What is l?
-2, 0
Let c(z) be the second derivative of z**5/8 + 15*z**4/8 + 10*z**3 + 25*z**2 + 44*z. Factor c(f).
5*(f + 2)**2*(f + 5)/2
Let u be -4*((-14)/(-4))/(-7). Let r(c) = -5 - c - 3*c**u + c + 0*c. Let g(n) = 1. Let s(j) = 5*g(j) + r(j). Factor s(d).
-3*d**2
Suppose 2*z - 15 = -5. Determine d, given that 6*d**3 - 3*d**3 - 100*d**4 + 106*d**4 - 3*d**z - 6*d**2 = 0.
-1, 0, 1, 2
What is n in 2*n**3 - 2*n + 2/3*n**2 - 4/3 + 2/3*n**4 = 0?
-2, -1, 1
Let n(b) be the second derivative of b**6/15 + 7*b**5/2 + 66*b**4 + 432*b**3 - 1728*b**2 + 2*b + 2. Factor n(v).
2*(v - 1)*(v + 12)**3
Let r(u) be the second derivative of 11*u - 4/5*u**5 + 0 - 128/3*u**2 - 2/45*u**6 - 64/3*u**3 - 52/9*u**4. Factor r(x).
-4*(x + 2)**2*(x + 4)**2/3
Factor -x**3 - 81 - 12*x**2 - 7*x**2 + 81*x + 18*x + 2*x**3.
(x - 9)**2*(x - 1)
Let f = 109 - 106. Let c(x) = -160*x**2 + 40*x + 8. Let b(g) = 81*g**2 - 20*g - 4. Let a(r) = f*c(r) + 5*b(r). Find m, given that a(m) = 0.
-2/15, 2/5
Let f(b) = -1 - 92*b**2 + 89*b**2 - 2*b - 5 + 3. Let y(r) = r + 3. Let m be y(-7). Let a(q) = q**2 + q + 1. Let v(z) = m*a(z) - f(z). Factor v(d).
-(d + 1)**2
Solve 8 + 36*d**2 - 49*d**4 - 60*d + 18*d**2 + 41*d**2 + 27*d**2 - 21*d**3 = 0 for d.
-2, 2/7, 1
Let p(d) be the third derivative of 0 + 0*d**4 - 1/2352*d**8 + 1/840*d**6 - 1/1470*d**7 + 0*d + 1/420*d**5 + 0*d**3 - 22*d**2. Let p(h) = 0. What is h?
-1, 0, 1
Let t(l) = l**2 - 3*l - 4. Let r = 4 - -7. Let i(s) = r*s - 3*s**2 + 0 + 2*s**2 + 8 - 4*s. Let v(b) = -3*i(b) - 5*t(b). Factor v(x).
-2*(x + 1)*(x + 2)
Let c(i) be the first derivative of 3/20*i**5 + 0*i**3 + 4 + 0*i + 0*i**2 + 0*i**4. Suppose c(v) = 0. What is v?
0
Suppose -4 = -2*u + 2*d, -5*d + 4 = 4*u - 4. Solve -24*g**4 - 6*g**3 + 18*g**u + 3*g + 15*g**4 - 6 + 3*g**5 - 3 = 0.
-1, 1, 3
Let -15*t - 7*t**2 - 13*t**2 - 4*t**2 - 18*t + 30 + 27*t**2 = 0. Calculate t.
1, 10
Let -2*m**2 - 24*m**3 + 88*m - 12 - 63*m - 92*m**4 - m**5 + 106*m**4 = 0. Calculate m.
-1, 1, 12
Determine z so that -353*z**5 + 350*z**5 - 9*z**4 + 6*z + 7*z**2 + 2*z**2 - 3*z**3 = 0.
-2, -1, 0, 1
Let u(v) be the third derivative of 23*v**2 + 1/39*v**4 + 1/390*v**5 + 0*v - 4/13*v**3 + 0. Factor u(l).
2*(l - 2)*(l + 6)/13
Let z(s) be the second derivative of 1/6*s**4 + 7*s + 0 - 10/3*s**3 + 25*s**2. Determine n, given that z(n) = 0.
5
Let p(g) be the third derivative of g**8/144 - 41*g**7/1260 + 29*g**6/720 - g**5/60 - 2*g**2 + 184. Find q such that p(q) = 0.
0, 3/7, 1/2, 2
Let h(z) be the third derivative of 0*z + 0*z**3 - 32*z**2 - 1/30*z**5 + 3/4*z**4 + 0. Factor h(g).
-2*g*(g - 9)
Let f(b) = -4*b**3 + 8*b**2 - 10*b - 22. Let j(c) = 3*c**3 - 5*c**2 + 7*c + 15. Let n(x) = -5*f(x) - 7*j(x). Determine o so that n(o) = 0.
-5, -1, 1
Let n be (-31846)/(-70) - (1 - (-30)/(-25)). Let m = n - 454. Determine s so that 24/7*s + 2*s**2 - m = 0.
-2, 2/7
Let q(r) be the third derivative of r**7/4284 - r**6/765 - r**5/255 - r**4/6 + 34*r**2. Let b(v) be the second derivative of q(v). Factor b(t).
2*(t - 2)*(5*t + 2)/17
Let y(i) = 5*i**3 - 16*i**2 + 116*i - 105. Let q(d) = d**3 - 4*d**2 + 29*d - 26. Let h(x) = 9*q(x) - 2*y(x). Suppose h(a) = 0. What is a?
-8, 1, 3
Let f be 1 - (-30)/(-26) - 6/(-39). Let p