**3 - 1/2 = 0.
-1, 1/4, 2/7
Let r be 48/60 + 134/(-180). Let x(m) be the third derivative of 0 + r*m**4 + 0*m + m**2 + 1/90*m**5 + 1/9*m**3. Let x(g) = 0. Calculate g.
-1
Let f be (-4 - -2) + (0 - 0). Let d be (-45)/27*f/5. Factor 2/3*x + d*x**2 + 0.
2*x*(x + 1)/3
Let n(t) be the second derivative of 0 + 7*t + 0*t**2 - 1/5*t**5 + 4/3*t**3 + 1/3*t**4. Suppose n(y) = 0. What is y?
-1, 0, 2
Let a be ((-675)/10)/(-9) - (3 - 0). Solve 3/2*t**2 + 1/2 - a*t**3 + 5/2*t = 0.
-1/3, 1
Let a(u) be the third derivative of -1/240*u**5 + 0 + 1/480*u**6 + 0*u + 1/840*u**7 - 1/96*u**4 + 0*u**3 - u**2. Determine n so that a(n) = 0.
-1, 0, 1
Let c be -6*(-1)/(-2) + 53. Let c*y**3 - 12*y - 38*y**2 - 4 + 6 + 26*y + 8*y**5 - 32*y**4 - 4 = 0. Calculate y.
1/2, 1
Factor 3*x**2 - 3*x**4 - 7*x**2 + 9*x**4 - 2*x**4.
4*x**2*(x - 1)*(x + 1)
Let w(m) be the first derivative of m**6/10 + 3*m**5/20 - 3*m**4/4 - m**3/2 + 3*m**2 + 3*m - 4. Let x(b) be the first derivative of w(b). What is v in x(v) = 0?
-2, -1, 1
Let x be 0 + 0 + 6/3. Let c(h) be the first derivative of -1 + 1/12*h**3 + 0*h**x + 0*h. Factor c(w).
w**2/4
Solve 128/11 + 32/11*a + 2/11*a**2 = 0 for a.
-8
Let p = -29 + 59/2. Suppose -11 = -4*u + 1. Factor -n**4 - p*n**5 + 0*n**u + 1/2*n + n**2 + 0.
-n*(n - 1)*(n + 1)**3/2
Let t be ((-12)/(-20))/(4/20). Let w(c) be the second derivative of -1/15*c**t + 0*c**2 - 3*c + 1/30*c**4 + 0. Determine i, given that w(i) = 0.
0, 1
Find s, given that -15*s**2 - 2*s**4 + 4*s**4 + 13*s**4 - 5*s**3 + 5*s = 0.
-1, 0, 1/3, 1
Let z(p) be the second derivative of 1/6*p**3 + 0*p**2 - 1/60*p**6 + 0 + 1/3*p**4 + 1/15*p**5 - 2*p. Let v(l) be the second derivative of z(l). Factor v(d).
-2*(d - 2)*(3*d + 2)
Let h(b) be the second derivative of -b**7/252 - b**6/180 - 7*b. Factor h(a).
-a**4*(a + 1)/6
Let x(s) be the third derivative of s**6/420 - 2*s**5/105 - s**4/84 + 4*s**3/21 + 4*s**2 + s. Factor x(l).
2*(l - 4)*(l - 1)*(l + 1)/7
Let x be (-5 - -4)*2 + (-14)/(-6). Let f(t) be the first derivative of -1 + x*t**3 + 0*t + 0*t**2. Factor f(a).
a**2
Let h = 14/5 - 2. Determine b, given that 0*b**2 - 2/5*b**4 - 4/5*b**3 + 2/5 + h*b = 0.
-1, 1
Let d be 2*(-3)/(-9)*3. Let n be 3/6*(3 - d). Suppose 0*j - n*j**2 + 1/2 = 0. Calculate j.
-1, 1
Factor 2*i**4 + 2*i**5 + i**2 + 940*i**3 + 4*i - 946*i**3 - 3*i**2.
2*i*(i - 1)**2*(i + 1)*(i + 2)
Let r be (-7)/(7/2) + 4. Solve r*z - 2*z - 3*z + 3*z**3 = 0.
-1, 0, 1
Let a(i) be the third derivative of -i**7/280 + 7*i**6/480 - i**5/120 + i**2. Factor a(b).
-b**2*(b - 2)*(3*b - 1)/4
Let t be 0/10 - (-2)/1. Find w such that -6*w**3 - 3*w**5 + 4*w + 4*w + 10*w**2 - 4*w**4 + t*w**2 - 7*w**4 = 0.
-2, -2/3, 0, 1
Let d(i) be the third derivative of 32*i**7/35 - 44*i**6/15 + 17*i**5/5 - 2*i**4 + 2*i**3/3 + 5*i**2. Find t such that d(t) = 0.
1/4, 1/3, 1
Let x = -991 + 34619/35. Let f = x + 16/7. Solve 0*w**4 - f*w + 4/5*w**3 + 0*w**2 + 0 - 2/5*w**5 = 0.
-1, 0, 1
Let b(w) be the third derivative of -w**5/390 - w**4/78 - w**3/39 - 10*w**2. Let b(j) = 0. What is j?
-1
Let d = 75774/77 - -3286869/385. Let s = d + -9409. Let 253/5*j**2 - s*j**3 + 553/5*j**4 - 196/5*j**5 + 4/5 - 52/5*j = 0. What is j?
1/4, 2/7, 1
Suppose -5*j + 23 = 13. Let n be j + -4 - (-35)/14. Let -1/2*p**2 + 0 - n*p = 0. What is p?
-1, 0
Let a(b) = -4*b**2 + 10*b - 9. Let n(u) = u**2 - u + 1. Let l(m) = a(m) + 3*n(m). Let j be l(6). Solve 6*p - 4*p + p**2 + j*p**2 + 1 = 0 for p.
-1
Let a be -2 - 2/3*3. Let i be (-1 - a)*(-30)/(-9). Determine l, given that -10*l**3 + 25/2*l**4 - 2 - 21/2*l**2 + i*l = 0.
-1, 2/5, 1
Suppose 3/2*k**3 + 5/6*k**5 + 0*k - 2*k**4 - 1/3*k**2 + 0 = 0. Calculate k.
0, 2/5, 1
Let t(w) be the first derivative of -2*w**3/45 + w**2/15 - 50. Suppose t(f) = 0. What is f?
0, 1
Let z be (-36)/10 - 10/25. Let r(s) = s**2 + 5*s. Let q(b) = 2*b**2 + 11*b. Let h(o) = z*q(o) + 9*r(o). Suppose h(l) = 0. Calculate l.
-1, 0
Let a(l) be the third derivative of -l**10/15120 + l**8/3360 + l**4/24 - l**2. Let r(w) be the second derivative of a(w). Factor r(t).
-2*t**3*(t - 1)*(t + 1)
Let o = -4/31 + 103/558. Let u(y) be the second derivative of 1/27*y**6 + 2*y - 7/27*y**3 + 7/90*y**5 + 0 - o*y**4 - 2/9*y**2. Suppose u(f) = 0. What is f?
-1, -2/5, 1
Let v be (-6)/(-3)*(-6)/(-4). Factor -1/4*m**v + 0*m**4 + 0*m + 0*m**2 + 0 + 1/4*m**5.
m**3*(m - 1)*(m + 1)/4
Let h = -7 - -7. Suppose z - 9*z + 7*z + h*z + z**3 = 0. What is z?
-1, 0, 1
Determine l, given that 0 - 4/3*l + 1/3*l**3 + 0*l**2 = 0.
-2, 0, 2
Let j(w) be the second derivative of 0*w**2 - 1/45*w**6 + 0 + 2*w - 1/9*w**4 + 0*w**3 - 1/10*w**5. Factor j(v).
-2*v**2*(v + 1)*(v + 2)/3
Solve 2/11*x**2 + 0 + 0*x = 0.
0
Factor -d - 8/3*d**2 + 2/3 - d**3.
-(d + 1)*(d + 2)*(3*d - 1)/3
Let w(h) be the third derivative of 1/30*h**5 - 2/3*h**3 + 1/4*h**4 + 1/105*h**7 - 1/20*h**6 + 2*h**2 + 0 + 0*h. Determine k, given that w(k) = 0.
-1, 1, 2
Let h(c) be the third derivative of 0*c - 1/175*c**7 + 0 + 0*c**3 + 3*c**2 + 1/40*c**4 + 0*c**6 - 1/560*c**8 + 1/50*c**5. Solve h(a) = 0 for a.
-1, 0, 1
Let i(y) be the second derivative of y**7/28 - 3*y**5/40 + y. Factor i(s).
3*s**3*(s - 1)*(s + 1)/2
Let d(v) be the second derivative of v**4/90 - 4*v**3/45 + 14*v. Factor d(z).
2*z*(z - 4)/15
Let w(p) be the third derivative of 0*p**3 + 1/24*p**4 + 0*p + 0 - 1/20*p**5 - 6*p**2. Factor w(v).
-v*(3*v - 1)
Let a(b) be the second derivative of b**4/3 - 2*b**3 + 4*b**2 + 21*b. Factor a(p).
4*(p - 2)*(p - 1)
Let c = -14 + 17. Let p(q) be the second derivative of -3*q + 0*q**c - 1/42*q**4 - 3/70*q**5 + 0*q**2 - 1/35*q**6 - 1/147*q**7 + 0. Solve p(f) = 0 for f.
-1, 0
Suppose 32 = -29*y + 31*y + 2*a, -40 = -3*y - a. Suppose -y*b + 3/2*b**2 + 24 = 0. Calculate b.
4
Let l(i) be the second derivative of i**9/60480 - i**7/10080 + i**4/6 + i. Let h(k) be the third derivative of l(k). Factor h(v).
v**2*(v - 1)*(v + 1)/4
Let n(h) be the third derivative of -h**7/210 - h**6/15 - 2*h**5/5 - 4*h**4/3 - 8*h**3/3 + 16*h**2. Suppose n(k) = 0. What is k?
-2
Let a(w) be the second derivative of -w**7/210 + w**6/120 - 3*w**2/2 - 4*w. Let p(y) be the first derivative of a(y). Suppose p(b) = 0. What is b?
0, 1
Suppose -3*x = -x - 5*x. Let o(l) be the first derivative of 4/3*l**3 + 4/5*l**5 + 1/2*l**2 + 1/6*l**6 + x*l + 3/2*l**4 - 2. Let o(n) = 0. Calculate n.
-1, 0
Suppose 0 = v - 14 + 14. Solve v + 1/2*i**2 + 1/2*i = 0.
-1, 0
Let m(p) be the first derivative of 3/2*p**4 - 3 - 9/5*p**5 + 2/3*p**6 + 0*p - 1/3*p**3 + 0*p**2. Factor m(b).
b**2*(b - 1)**2*(4*b - 1)
Factor -16*c - 5 - 2*c**3 + 8 - 6 - 10*c**2 - 5.
-2*(c + 1)*(c + 2)**2
Let c(a) = -4*a**3 - 2*a**2 + 2*a. Let h(b) = -11*b**3 - 5*b**2 + 6*b. Let k(q) = 6*q**3. Let w be k(1). Let s(l) = w*h(l) - 17*c(l). Let s(f) = 0. What is f?
-1, 0
Let u(z) = -z**5 - 26*z**4 - 61*z**3 - 56*z**2 - 24*z. Let k(q) = 2*q**5 + 27*q**4 + 62*q**3 + 57*q**2 + 23*q. Let i(f) = 4*k(f) + 3*u(f). Factor i(w).
5*w*(w + 1)**2*(w + 2)**2
Let u(b) be the second derivative of b**5/10 + b**4/6 - b**3/3 + b**2/2 - b. Let n be u(1). Suppose -a + a**3 - 3*a**2 + a**3 - a + n*a**4 = 0. What is a?
-1, -2/3, 0, 1
Factor 20 - 39*k**3 + 25*k + 2*k**2 - 2*k**2 - 15*k**2 - 5*k**4 + 14*k**3.
-5*(k - 1)*(k + 1)**2*(k + 4)
Let f(u) be the first derivative of -5*u**6/4 - 4*u**5 + 25*u**4/8 + 5*u**3 + 29. Solve f(t) = 0.
-3, -2/3, 0, 1
Determine k, given that -2/3*k + 4/9 + 2/9*k**2 = 0.
1, 2
Let l = 3 + 1. Suppose -l*x = -2*x - 4. Factor 8*y**3 + 3*y + 7*y**x + 9/2*y**4 + 1/2 + y**5.
(y + 1)**4*(2*y + 1)/2
Suppose -56*i + 55*i = 0. Factor i*y - 3/4*y**2 + 3.
-3*(y - 2)*(y + 2)/4
Let m(l) be the second derivative of -2*l**6/3 - 9*l**5/4 - 5*l**4/2 - 5*l**3/6 + 25*l. Factor m(h).
-5*h*(h + 1)**2*(4*h + 1)
Let w(u) = -u**2 - 10*u + 1. Suppose 2*k = -4*s - 14 - 24, 37 = -4*s - 3*k. Let m be w(s). Suppose -1 - 5*a**2 - 2*a + 2*a**2 + m + a**4 = 0. What is a?
-1, 0, 2
Let b(m) = -13*m - 26. Let w be b(-2). Let 2/9*f + w + 2/9*f**2 = 0. Calculate f.
-1, 0
Let n(m) = 19*m**2 - 14*m - 1. Let h be n(1). Suppose 0*x - 3/4*x**5 + 0 - 9/4*x**h + 0*x**2 - 3/2*x**3 = 0. What is x?
-2, -1, 0
Let v = 5 - 3. Find c, given that -v*c**3 + 0*c**2 + 3*c**2 - 2*c**2 = 0.
0, 1/2
Let l(n) be the second derivative of -6*n**7 + 93*n**6/5 - 74*n**5/5 - 11*n**4/2 + 8*n**3 + 4*n**2 - 24*n + 2. Determine h, 