 4/3*l**3 = 0.
-1, 2
Let h(r) be the third derivative of r**8/112 - 4*r**2 - 16*r. Solve h(x) = 0 for x.
0
Let n(b) be the first derivative of -25*b**6/3 + 11*b**5 + 165*b**4/2 - 55*b**3/3 - 110*b**2 - 60*b + 218. Suppose n(t) = 0. What is t?
-2, -1/2, -2/5, 1, 3
Let x(t) = 13*t**2 + 203*t + 396. Let l(z) = -6*z**2 - 102*z - 198. Let g(m) = -7*l(m) - 3*x(m). What is f in g(f) = 0?
-33, -2
Let a be (-304)/646*1*-2. Factor -2/17*w**2 - 32/17 - a*w.
-2*(w + 4)**2/17
Let j(m) = 4*m**2 - 20*m + 12. Let s(o) = -o**2 - 6. Let w(q) = -j(q) - 2*s(q). Determine v so that w(v) = 0.
0, 10
Let s(w) be the third derivative of -w**5/10 - 28*w**4/3 + 76*w**3/3 + 33*w**2 + 2*w. Factor s(c).
-2*(c + 38)*(3*c - 2)
Let l(k) be the third derivative of 7*k**2 - 1/480*k**5 + 0*k + 0 - 5/3*k**3 + 0*k**4 - 1/1440*k**6. Let i(r) be the first derivative of l(r). Factor i(b).
-b*(b + 1)/4
Let q(r) = 4*r + 29. Let h be q(-6). Let c(t) be the first derivative of 0*t - 3/8*t**4 - 1/20*t**5 + h + 0*t**2 - 3/4*t**3. Factor c(f).
-f**2*(f + 3)**2/4
Let d be 1/(-10 + 12)*(1 - -7). Let n(y) be the second derivative of 0*y**3 + 0 + 4*y - y**2 + 1/6*y**d. Factor n(l).
2*(l - 1)*(l + 1)
Find h, given that h**3 + 182*h**2 + 2*h**3 - 197*h**2 = 0.
0, 5
Let d be (-180)/(-75) - 4/10. Factor -13*v**2 + 2*v**5 + v**5 - v**3 - 2*v**5 + d*v**4 + 11*v**2.
v**2*(v - 1)*(v + 1)*(v + 2)
Let a(m) be the third derivative of m**7/7560 - m**5/360 - 7*m**4/8 + m**2. Let q(o) be the second derivative of a(o). Factor q(w).
(w - 1)*(w + 1)/3
Suppose 0*k - 3*k = -6. Find b such that 9*b + 11 - 314*b**2 - 5 + 317*b**k = 0.
-2, -1
Let k(u) = -5*u**2 + 36*u - 79. Let p(v) = 36*v**2 - 252*v + 552. Let b(j) = -15*k(j) - 2*p(j). Let b(g) = 0. What is g?
3, 9
Suppose -5*n + 2*i = 11 - 36, 2*i = 0. Suppose -5*h - 25 = -n*d, -d + 2*h = 4*h + 10. Suppose 1/2*r**2 + 0 + d*r = 0. Calculate r.
0
Suppose -2*d - 2 + 16 = 0. Suppose 5*j - d = 33. Find y, given that 3*y**4 + 3 - j*y**2 - 3*y**4 + 1 + 4*y**4 = 0.
-1, 1
Let o(j) be the second derivative of -1/9*j**4 + 0 + 8*j + 2*j**2 + 4/9*j**3. Factor o(v).
-4*(v - 3)*(v + 1)/3
Let p = 2514 + -2503. Let h(j) be the third derivative of 0 + 0*j**3 + 0*j - 1/45*j**5 + 0*j**4 + 1/180*j**6 + p*j**2. Factor h(u).
2*u**2*(u - 2)/3
Let o(n) be the third derivative of -8/105*n**5 + 2/21*n**4 + 0*n - 12*n**2 + 0*n**3 - 2/735*n**7 + 1/42*n**6 + 0. Suppose o(b) = 0. What is b?
0, 1, 2
Let b(s) = s**3 - 8*s**2 - 11*s + 20. Let j(a) = -a**3 - 15*a**2 - 13*a + 23. Let d be j(-14). Let y be b(d). Factor -1/3*i - 1/3*i**y + 0.
-i*(i + 1)/3
Factor -484/9*u - 29282/9 - 2/9*u**2.
-2*(u + 121)**2/9
Let c(w) be the third derivative of 0*w + 0*w**5 + 1/280*w**7 - 6*w**2 - 1/80*w**6 + 0 - 1/8*w**3 + 1/16*w**4. Factor c(m).
3*(m - 1)**3*(m + 1)/4
Let w(g) = 8*g**2 - 53*g - 21. Let x(j) = 8*j**2 - 53*j - 21. Let o(i) = 3*w(i) - 2*x(i). Let o(q) = 0. Calculate q.
-3/8, 7
Suppose 5*z + 2*p + 540 = 4*p, z + 108 = 4*p. Let n be 4/(-12)*z/4. Suppose -3*k**2 - k - k + 5*k + 15 - n = 0. Calculate k.
-1, 2
Let -7 + 160*f - 7 + f**3 + f**3 + 51 + 91 + 34*f**2 = 0. What is f?
-8, -1
Let b(c) = -5*c**4 + 4*c**3 - 21*c**2 - 33. Let v(h) = h**4 - h**3 + 4*h**2 + 6. Let z(y) = -4*b(y) - 22*v(y). Determine t, given that z(t) = 0.
0, 1, 2
Let m(g) be the third derivative of -g**9/3024 - g**8/448 - g**7/252 - g**4/12 - 36*g**2. Let z(i) be the second derivative of m(i). Factor z(c).
-5*c**2*(c + 1)*(c + 2)
Let a be 1/2 - (-35)/2. Suppose -3*q - 15 = -2*g - 0*g, 2*g = 4*q + a. Factor -4/5*m**2 - 2/5*m + 0 - 2/5*m**g.
-2*m*(m + 1)**2/5
Let y = -689/190 - -392/95. Solve 2*k**2 + 0*k + y*k**3 + 0 = 0 for k.
-4, 0
Let x(o) be the first derivative of o**5/5 + 3*o**4/2 + 5*o**3/3 - 6*o**2 - 154. What is i in x(i) = 0?
-4, -3, 0, 1
Let c be (7 + 1 - (-78)/(-21))/3. Factor -c*s + 4/7 + 6/7*s**3 - 8/7*s**2.
2*(s - 2)*(s + 1)*(3*s - 1)/7
What is d in -10/3*d + 1/3*d**2 + 25/3 = 0?
5
Let s(v) = v**3 - v - 1. Let o(w) = 2*w**3 - 25*w**2 - 2*w + 22. Let r(q) = -o(q) + 3*s(q). Factor r(l).
(l - 1)*(l + 1)*(l + 25)
Let v(m) = m**4 + 96*m**3 - 271*m**2 + 198*m + 8. Let l(n) = -33*n**3 + 90*n**2 - 66*n - 3. Let f(j) = 8*l(j) + 3*v(j). Factor f(w).
3*w*(w - 2)*(w - 1)*(w + 11)
Factor 5/4*k**3 - k**4 + 0 + 1/4*k**5 - 1/2*k**2 + 0*k.
k**2*(k - 2)*(k - 1)**2/4
Let f(b) be the third derivative of b**8/504 + b**7/315 - b**6/60 - b**5/90 + b**4/18 + 67*b**2. Suppose f(g) = 0. Calculate g.
-2, -1, 0, 1
Let f be 2/((-7)/(-2) + -3). Let n be (-2 - -3)*f/2. Find i, given that 0*i + 3*i + 0*i**2 - 2*i**n - i**2 = 0.
0, 1
Let k(r) be the second derivative of -r**6/72 + r**5/12 + 19*r**3/6 - 8*r. Let p(t) be the second derivative of k(t). Let p(o) = 0. What is o?
0, 2
Let 27 - 85*g - 188*g**2 + 13 + 238*g**2 - 5*g**3 = 0. What is g?
1, 8
Let t(l) be the second derivative of -3*l**5/40 + 59*l**4/8 + 121*l**3/4 + 183*l**2/4 + 2*l - 24. Let t(j) = 0. Calculate j.
-1, 61
Let s(t) be the second derivative of t**5/50 - 37*t**4/30 - 77*t**3/15 - 39*t**2/5 + 4*t + 56. Factor s(v).
2*(v - 39)*(v + 1)**2/5
Let v be 8/4 + (7 - 3). Factor -10*c**5 - 3*c + c - c + 7*c**5 + v*c**3.
-3*c*(c - 1)**2*(c + 1)**2
Let j(b) be the third derivative of b**6/360 + b**5/60 - 5*b**4/36 - 39*b**2 + 3*b. Factor j(h).
h*(h - 2)*(h + 5)/3
Let j = -524 + 1574/3. Factor -2*y**2 + 2*y**3 + 0 + j*y - 2/3*y**4.
-2*y*(y - 1)**3/3
Factor -9/2*i + 45/2*i**3 - 87/2*i**2 - 24*i**5 + 36*i**4 + 27/2.
-3*(i - 1)**3*(4*i + 3)**2/2
Let x = -9 - -12. Let j be -7*(23/(-7) + x). Suppose -7 + 3 + 0*u**j - 4*u - u**2 = 0. What is u?
-2
Let k = 50/27 + -196/135. Let y be ((-8)/12)/(10/(-3)). Factor k*x**2 - 2/5*x**4 - y*x**3 + 0*x + 1/5*x**5 + 0.
x**2*(x - 2)*(x - 1)*(x + 1)/5
Suppose 1 = -y, q + 9 = 2*q - 5*y. Factor 5*j**3 + 0*j**3 - 9*j**2 + q*j**2.
5*j**2*(j - 1)
Factor 1 + 4 - 6*i**2 - 19 + 5 + 21*i.
-3*(i - 3)*(2*i - 1)
Let x = 6458 - 19369/3. Suppose -x*t**2 + 5 + 10/3*t = 0. What is t?
-1, 3
Let x(k) = 5*k - 46. Let g be x(11). Let f be (-40)/(-90) - (-2)/g. Factor 2/3 + 4/3*l + f*l**2.
2*(l + 1)**2/3
Factor -2/3 + 2/3*v**2 - 2/9*v + 2/9*v**3.
2*(v - 1)*(v + 1)*(v + 3)/9
Let n be ((-14)/(-15) + -1)/(44/(-220)). Let -n*i**2 - 2*i - 5/3 = 0. What is i?
-5, -1
Let s(r) be the third derivative of r**8/336 - 2*r**7/35 + 7*r**6/15 - 32*r**5/15 + 6*r**4 - 32*r**3/3 + 210*r**2. Suppose s(m) = 0. What is m?
2, 4
Let p(m) = -11*m**2 - 1 - 15*m**2 + 24*m**2. Let h(f) = -5*f**2 + 5*f - 8. Let y(d) = -5*h(d) + 10*p(d). Factor y(n).
5*(n - 3)*(n - 2)
Factor 77*z + 3*z**2 - 263*z - 153 + 684.
3*(z - 59)*(z - 3)
Let p = -1935 + 1938. Factor 2/5 - 2/5*c + 1/10*c**p - 1/10*c**2.
(c - 2)*(c - 1)*(c + 2)/10
Factor -40/3 - 2/9*k**2 - 64/9*k.
-2*(k + 2)*(k + 30)/9
Suppose 18 = -11*u + 5*u. Let w(t) = -t**2 - 2*t + 5. Let x be w(u). Factor 1/6*v**x + 1/6*v - 1/6 - 1/6*v**3.
-(v - 1)**2*(v + 1)/6
Let c(h) be the second derivative of 5*h**4/12 - 65*h**3/6 - 75*h**2 + 233*h. Determine j so that c(j) = 0.
-2, 15
Let s = 78961/105 + -752. Let m(q) be the second derivative of 0 - q - 1/50*q**5 - 1/75*q**6 + s*q**7 + 1/30*q**4 + 0*q**2 + 0*q**3. Factor m(b).
2*b**2*(b - 1)**2*(b + 1)/5
Let i(d) be the second derivative of d**7/168 - d**6/20 - d**5/8 + d**4/3 + 11*d**3/8 + 7*d**2/4 - 349*d. Let i(y) = 0. Calculate y.
-1, 2, 7
Let p(j) be the third derivative of -j**9/80640 + j**8/8960 - j**6/240 - j**5/60 + 11*j**2. Let i(w) be the third derivative of p(w). Factor i(b).
-3*(b - 2)**2*(b + 1)/4
Let z = 763 - 763. Let r(p) be the third derivative of 1/1008*p**8 + 0*p + 0 + z*p**4 + 0*p**5 - 1/180*p**6 + 7*p**2 - 1/630*p**7 + 0*p**3. Factor r(t).
t**3*(t - 2)*(t + 1)/3
Let n = -48029/16 + 3002. Let v(t) be the first derivative of -9/4*t - 5/4*t**3 - 1 - 21/8*t**2 - n*t**4. Suppose v(k) = 0. What is k?
-3, -1
Let x(d) be the third derivative of 0*d**3 - 1/96*d**4 + 1/840*d**7 + 29*d**2 + 1/480*d**6 + 0*d - 1/240*d**5 + 0. Solve x(l) = 0.
-1, 0, 1
Let s(w) be the first derivative of w**6/18 - 32*w**5/15 - 103*w**4/12 - 70*w**3/9 - 368. Let s(z) = 0. Calculate z.
-2, -1, 0, 35
Suppose 4 = -2*a - 2*z + 16, 0 = a - 2*z + 3. Factor -298 + 148 - 147*k**a - 189*k**2 - 45*k + 147.
-3*(k + 1)*(7*k + 1)**2
Let q(u) be the third derivative of u**10/50400 - u**9/5040 + u**8/1344 - u**7/840 + u**5/5 + 16*u**2. Let a(l) be the 