r t.
-2, 1
Let i be (2/(-6))/((-21)/27). Let g(r) be the first derivative of 1 + 2/7*r + 2/7*r**3 - i*r**2 - 1/14*r**4. Find h, given that g(h) = 0.
1
Suppose a - 19*a = -90. Let w(s) be the first derivative of 0*s + 0*s**2 + 3/2*s**4 - 7 - 4/3*s**3 + 0*s**a - 1/3*s**6. Factor w(g).
-2*g**2*(g - 1)**2*(g + 2)
Solve 37*i**2 + 50 - 25 + 2*i**3 + 56*i - i**3 + 15*i + 10 = 0 for i.
-35, -1
Let u(v) be the first derivative of -v**6/420 + v**4/84 - 16*v**2 - 3. Let z(g) be the second derivative of u(g). Factor z(d).
-2*d*(d - 1)*(d + 1)/7
Let a(c) be the second derivative of 3*c**5/5 + 233*c**4/3 + 2990*c**3 - 3042*c**2 + 3*c - 102. Factor a(p).
4*(p + 39)**2*(3*p - 1)
Let u(z) be the second derivative of 1/12*z**4 + 0*z**3 - 3/40*z**5 + 20*z + 0*z**2 + 0 + 1/60*z**6. Factor u(o).
o**2*(o - 2)*(o - 1)/2
Let r be (-1)/(-1 - 4/(-16)). Let b(o) = o**2 + 4*o - 10. Let p be b(-6). Determine m, given that -r*m**p - 5/3*m - 1/3*m**3 - 2/3 = 0.
-2, -1
Suppose 0 = r - p - 20, -5*r - 98 = -10*r + 4*p. Let q be (16 - r)*(-9)/2. Determine a, given that -2 + 0*a**2 + q*a - 7*a + 4*a**2 = 0.
-1, 1/2
Determine g so that -4/3 - 1/6*g**2 - 1/6*g**3 + 5/3*g = 0.
-4, 1, 2
Suppose -3*s**2 - 3*s**2 + 4*s**2 + 100*s + 4*s**2 - 6*s**2 = 0. What is s?
0, 25
Let b be -5 - -11*(0 + (-6)/(-12)). Let g(p) be the first derivative of -3 + 0*p + b*p**2 - 7/6*p**3. What is a in g(a) = 0?
0, 2/7
Let -63075 - 3178*d**2 + 6362*d**2 - 870*d - 3187*d**2 = 0. Calculate d.
-145
Let v(r) be the third derivative of r**5/120 - 15*r**4/2 + 2700*r**3 - 259*r**2. Solve v(l) = 0.
180
Let k = -1735 - -5207/3. Let 13/6*v**2 - 2/3 + 5/6*v**3 + k*v = 0. What is v?
-2, -1, 2/5
Find h, given that -3*h**4 - 30*h**2 - 4*h + 24*h**2 + 4*h + 69*h**2 + 12*h**3 = 0.
-3, 0, 7
Let c(n) = -n**2 - n - 1. Let j(q) = 5*q**3 + q**2 - 10*q - 8. Let x(v) = 40*c(v) - 5*j(v). Solve x(a) = 0.
-2, 0, 1/5
Let a(p) = 12*p - 24. Let r be a(2). Suppose -j + r = -u + 5, 3*j - 25 = -5*u. Suppose -10/3*w**3 + 5/3*w + 5/3*w**u + 0 + 0*w**4 + 0*w**2 = 0. What is w?
-1, 0, 1
Let r(j) be the third derivative of -j**5/240 - 4*j**4 - 1536*j**3 + 13*j**2. Factor r(w).
-(w + 192)**2/4
Suppose 10*m - 14 + 602*m**2 + 6 - 603*m**2 - m**3 = 0. Calculate m.
-4, 1, 2
Let m = -17/4 + 35/8. Let n(i) be the first derivative of -m*i**4 - 1/2*i**3 - 1/2*i - 3/4*i**2 + 6. Factor n(l).
-(l + 1)**3/2
Let f(k) be the third derivative of 0*k - 1/80*k**5 - 1/480*k**6 + 1/840*k**7 + 0 + 1/96*k**4 + 1/12*k**3 - 12*k**2. Find t such that f(t) = 0.
-1, 1, 2
Let z(g) be the second derivative of 1/150*g**6 - 8 + g - 7/30*g**4 - 3/50*g**5 - 3/10*g**2 + 1/210*g**7 - 11/30*g**3. Factor z(m).
(m - 3)*(m + 1)**4/5
Let x(l) be the third derivative of -l**6/1320 - l**5/330 + l**4/264 + l**3/33 - 60*l**2. Determine t, given that x(t) = 0.
-2, -1, 1
Let b(p) = p**2 - 59*p - 64. Let f(g) = 60*g + 63. Let o(w) = 3*b(w) + 4*f(w). Factor o(q).
3*(q + 1)*(q + 20)
Let u(h) = -10*h**4 + 961*h**3 - 23041*h**2 + 22090*h - 55. Let i(r) = -5*r**4 + 481*r**3 - 11521*r**2 + 11045*r - 30. Let d(c) = 11*i(c) - 6*u(c). Factor d(g).
5*g*(g - 47)**2*(g - 1)
Let a(k) = k**4 + k**3 - k**2 + 1. Let g(q) = 2*q**3 - 4*q**2 - 16*q - 10. Let c(u) = 2*a(u) + g(u). Factor c(i).
2*(i - 2)*(i + 1)**2*(i + 2)
Let x(p) be the second derivative of -p**6/105 - 3*p**5/70 + p**4/14 + 11*p**3/21 + 6*p**2/7 - 2*p + 117. Solve x(t) = 0.
-3, -1, 2
Let h(o) = -o**5 + 4*o**4 + o**3 - 4*o - 4. Let n(v) = v**5 - 2*v**4 - 2*v**3 + 3*v + 3. Let r(c) = 3*h(c) + 4*n(c). Factor r(u).
u**3*(u - 1)*(u + 5)
Let i = 69 - 61. Determine y, given that -i*y**3 - 3*y**2 + 5*y**2 + 6*y**3 = 0.
0, 1
Let x(a) = 4*a**5 + 6*a**4 + 5*a**3 - 13*a**2 - 16*a + 7. Let d(g) = g**5 + 2*g**4 + 2*g**3 - 4*g**2 - 5*g + 2. Let z(w) = 7*d(w) - 2*x(w). Factor z(f).
-f*(f - 3)*(f - 1)*(f + 1)**2
Let z(r) be the third derivative of -3*r**8/280 + 11*r**7/525 - r**6/150 + 115*r**2. Factor z(l).
-2*l**3*(l - 1)*(9*l - 2)/5
Let q = -4309/2 - -2155. Factor 1/2*h**3 + q*h + 0 - h**2.
h*(h - 1)**2/2
Let q(g) = -21*g**2 + 251*g + 158. Let h(m) = 20*m**2 - 250*m - 160. Let c(r) = -6*h(r) - 5*q(r). Determine a, given that c(a) = 0.
-2/3, 17
Let c be ((-9)/(63/(-49)))/(1/(-5)). Let x be (80/c)/8 - 9/(-7). Determine o, given that -5*o + 19/4*o**2 + x + 13/4*o**3 + 7/4*o**5 - 23/4*o**4 = 0.
-1, 2/7, 1, 2
Let k be (0*(-12)/(-156))/(-2). Let -1/5*r**2 + 1/5 + k*r = 0. Calculate r.
-1, 1
Let m be 4/26 - (-7595)/12740. Factor -m*a**2 + 0 - 3/4*a**3 - 1/4*a - 1/4*a**4.
-a*(a + 1)**3/4
Let g be 3 - (3 + (0 - 3)). Solve 3*h**5 + 8*h**4 - 4*h - 32*h**3 - 13*h**2 + 33*h**g + 5*h**2 = 0 for h.
-2, -1, -2/3, 0, 1
Let a = -162 + 323. Let u = a + -643/4. Find h, given that 1/2 - u*h**2 - 1/4*h = 0.
-2, 1
Let n = 9/38 + 11/114. Let y(b) be the third derivative of n*b**4 - 1/15*b**5 - 11*b**2 + 0*b**3 + 0 + 0*b. Suppose y(s) = 0. Calculate s.
0, 2
Let a = 44/25 + -1031/600. Let s(d) be the third derivative of -a*d**4 + 0 - 7*d**2 - 1/180*d**5 + 2/9*d**3 + 0*d. Factor s(k).
-(k - 1)*(k + 4)/3
Determine u, given that 1/3*u**3 + 575/3*u + 47/3*u**2 + 529/3 = 0.
-23, -1
Let d(o) be the third derivative of -o**5/20 - 4*o**4 - 128*o**3 - 86*o**2. Factor d(n).
-3*(n + 16)**2
Let y(b) be the third derivative of b**5/90 + 23*b**4/18 - 47*b**3/9 + 116*b**2 + 4*b. Find r, given that y(r) = 0.
-47, 1
Determine h, given that 6 - 36/7*h - 6/7*h**2 = 0.
-7, 1
Let x be 77/(-22)*4/(-7). Suppose 0 = -x*b + 3 + 3. Factor -2/3*z**b + 2/3*z**4 - 2*z**2 - 4/3 + 10/3*z.
2*(z - 1)**3*(z + 2)/3
Let j = -193 - -198. Let c(u) be the second derivative of 0 + 0*u**2 - 1/42*u**4 + 3*u + 1/70*u**j - 2/21*u**3. Determine x, given that c(x) = 0.
-1, 0, 2
Let h be (((-8)/(-2))/(-4))/(-1). Let i be h*(-4)/(-6)*3. Let 4/11*a**i - 2/11*a**4 + 0*a**3 - 2/11 + 0*a = 0. Calculate a.
-1, 1
Let f = 4846 + -19267/4. Let k = f - 27. What is l in 3/2*l**5 - 3/4*l + 9/4*l**2 - 3/4*l**3 + 0 - k*l**4 = 0?
-1, 0, 1/2, 1
Let r(c) = 22*c**5 + 5*c**4 + 5*c**3 + 13*c**2 - 9*c - 9. Let z(u) = -5*u**5 - u**4 - u**3 - 3*u**2 + 2*u + 2. Let j(w) = 2*r(w) + 9*z(w). Factor j(p).
-p**2*(p - 1)**2*(p + 1)
Suppose 0 = 2*j - 2*l - l - 9, j = 5*l + 15. Factor -2/3*r**2 - r**3 + j - 1/6*r - 1/6*r**5 - 2/3*r**4.
-r*(r + 1)**4/6
Let n(o) be the second derivative of -o**5/30 - o**4/3 - 5*o**3/9 + 23*o. Factor n(i).
-2*i*(i + 1)*(i + 5)/3
Let v(k) be the second derivative of k**5/100 + k**4/12 - k**3/5 - 224*k. Factor v(b).
b*(b - 1)*(b + 6)/5
Let f(q) = -4*q**2 - 6*q + 18. Let m(k) = -9*k**2 - 8*k + 37. Let g(n) = 10*f(n) - 4*m(n). Find t such that g(t) = 0.
-8, 1
Suppose 2*r = -4*v - 4, 3 + 7 = 3*r + 2*v. Suppose 3*l = -4*a + 2, -4*l = -5*a + 12 + r. Solve i**2 + a*i**3 + i**4 - 52*i + 52*i = 0.
-1, 0
What is k in 17*k**5 + 10*k**2 + 7*k**4 - 37*k**3 + 25*k**4 - 22*k**5 = 0?
0, 2/5, 1, 5
Let f(y) be the third derivative of y**8/2520 + y**7/252 + y**6/90 + 7*y**5/30 - 20*y**2. Let r(k) be the third derivative of f(k). Factor r(a).
4*(a + 2)*(2*a + 1)
Factor 71/3 - 1/3*j**2 - 70/3*j.
-(j - 1)*(j + 71)/3
Let s(i) be the second derivative of 169*i**6/180 - 13*i**5/15 + i**4/3 - 13*i**3/6 - 4*i. Let r(m) be the second derivative of s(m). Let r(z) = 0. What is z?
2/13
Let u(w) = -2*w**2 - 22*w - 54. Let t be u(-7). Factor 3/5*i**3 - 9/5*i - 6/5*i**t + 0.
3*i*(i - 3)*(i + 1)/5
Let p(f) be the second derivative of -f**4/12 - f**3/3 + 3*f**2/2 + 2*f - 13. Let d be p(1). What is s in d*s + 4/7*s**2 + 4/7*s**3 + 0 = 0?
-1, 0
Let k = 15 + -15. Suppose -h - h + 96 = k. What is g in -38*g + 14*g - h + 4*g**2 - 4*g**2 - 3*g**2 = 0?
-4
Let i be 8/7*4/80. Let v(l) be the first derivative of 1 + 2/7*l**3 + i*l**5 - 8/7*l - 2/7*l**4 + 4/7*l**2. Find k, given that v(k) = 0.
-1, 1, 2
Let t(u) be the second derivative of 1/30*u**3 + 0 + 0*u**2 - 1/100*u**5 - 29*u + 0*u**4. Factor t(z).
-z*(z - 1)*(z + 1)/5
Let q(i) be the third derivative of 0 + 0*i - 1/84*i**4 - 1/35*i**6 + 13/420*i**5 + 3/490*i**7 + 0*i**3 + 4*i**2. Factor q(z).
z*(z - 2)*(3*z - 1)**2/7
Let t = 1517/2 + -797. Let i = 157/4 + t. Solve -1/4*v + 1/4*v**4 - i*v**3 + 3/4*v**2 + 0 = 0.
0, 1
Let z(t) = t**2 + 2*t + 1. Let i be z(-3). Suppose 5*r - i*h = 0, -45 = -5*r - h - 4*h. Factor -3*s**3 + s**2 + r*s**3 - 2*s**2 + 4 - 2*s**2.
(s - 2)**2*(s + 1)
Let y(d) = 4*d**2 + 8*d. Let f be (27/(