nd s, given that -20*s**2 + 34*s**2 - 12*s**2 + 4*s - 2*s**3 = 0.
-1, 0, 2
Let h(t) be the third derivative of t**5/160 - t**4/16 + 3*t**3/16 - 20*t**2. Determine x so that h(x) = 0.
1, 3
Let z(k) be the first derivative of -k**6/24 + k**5/10 - k**4/16 - 3. Let z(j) = 0. What is j?
0, 1
Let q(s) be the first derivative of -s**5/50 + s**4/30 - s - 3. Let u(x) be the first derivative of q(x). Factor u(z).
-2*z**2*(z - 1)/5
Let s = 37 - 36. Let o be s*4*2/4. Suppose 1/5*x + 1/5*x**o - 1/5 - 1/5*x**3 = 0. Calculate x.
-1, 1
Let x be -1 + 3 + -1 + 1. Solve -2*j - 5*j**4 + 4*j**2 + 2*j**5 + x*j**4 - 2*j**4 + j**4 = 0.
-1, 0, 1
Suppose 2*o - 20 = -m, -o - 5*m + 25 + 3 = 0. Let n = -5 + o. Factor -u**5 + u**2 - u - 5*u**2 + 0*u**3 + 2*u**4 + 2*u**n + 2.
-(u - 2)*(u - 1)**2*(u + 1)**2
Let a(r) be the third derivative of r**6/480 - r**5/240 + 8*r**2. Let a(c) = 0. What is c?
0, 1
Let q be (6 + -7)/(3/(-4)). Let k(z) be the first derivative of -7/2*z**4 + 32/9*z**3 + 6/5*z**5 + 2 + 0*z - q*z**2. Factor k(f).
2*f*(f - 1)*(3*f - 2)**2/3
Suppose -4/13*t**2 + 2/13*t**3 + 0 + 2/13*t = 0. Calculate t.
0, 1
Let p(i) be the third derivative of i**6/780 - i**4/52 - 2*i**3/39 - 23*i**2. What is t in p(t) = 0?
-1, 2
Let x be 4/36 - 2/(-9). Solve 0 + 1/3*l + x*l**2 = 0 for l.
-1, 0
Let h(g) = g**2 + 7*g - 6. Let c be h(-8). Solve p + 1/2*p**c + 0 = 0 for p.
-2, 0
Let a be 1/(((-35)/(-10))/7). Factor 24/7*k - 50/7*k**4 - 8/7 - 60/7*k**3 + 22/7*k**a.
-2*(k + 1)**2*(5*k - 2)**2/7
Factor -2*x**2 - 1/2*x**3 + 2*x**4 + 1/2*x**5 + 0 + 0*x.
x**2*(x - 1)*(x + 1)*(x + 4)/2
Let s = -2 - -4. Let h be 0 + s + 28/(-16). Let -1/2*f**2 + 1/2*f**3 + 1/4 - 1/4*f**5 - h*f + 1/4*f**4 = 0. What is f?
-1, 1
What is c in c - 2*c - 6 + 6 + c**2 = 0?
0, 1
Let d(g) be the second derivative of -2*g**5/15 - g**4/18 + 4*g**3/9 + g**2/3 - 8*g. Factor d(q).
-2*(q - 1)*(q + 1)*(4*q + 1)/3
Let t(m) = m**3 - m**2 + 1. Let v(j) = -j**2 + j + 1. Let k(u) = 4*t(u) - 4*v(u). Find c such that k(c) = 0.
-1, 0, 1
Factor 2*y**2 + 2*y**2 - 4*y + y - 5*y**2.
-y*(y + 3)
Suppose -4*i = -2*i - s - 8, -2*i = s. Let g = 2038/3 + -677. Let -1/3 + p**3 - g*p**i + 5/3*p = 0. What is p?
1/3, 1
Let d(c) = c**3 - 11*c**2 + 22*c + 19. Let z be d(8). Determine b so that 6/5 + 6/5*b**2 - 12/5*b**4 - 12/5*b**z + 3*b - 3/5*b**5 = 0.
-2, -1, 1
Let l(m) be the second derivative of m**5/150 - m**4/45 + m**3/45 + 2*m. Factor l(f).
2*f*(f - 1)**2/15
Let r(f) = -f - 6. Let m be r(-9). Let k = m - 0. Factor n - 3*n**3 - 2*n**3 - n**k + 5*n**3.
-n*(n - 1)*(n + 1)
Suppose 0 = 5*o - 0 + 15. Let z = o - -7. Solve 2/5*d**5 - 2/5*d**z + 2/5*d - 2/5 - 4/5*d**3 + 4/5*d**2 = 0 for d.
-1, 1
Let i be (-2)/4*4 - -2. Suppose -2*v = -i*v. Find j, given that v + 8/3*j - 8*j**2 - 4*j**4 + 2/3*j**5 + 26/3*j**3 = 0.
0, 1, 2
Let a(d) = d + 1. Let j(w) be the first derivative of w**3 + 11*w**2/2 + 5*w + 2. Let c(t) = -5*a(t) + j(t). Factor c(x).
3*x*(x + 2)
Let q(c) be the second derivative of -c**6/15 - c**5/10 + c**4/2 + 5*c**3/3 + 2*c**2 - 8*c. Suppose q(p) = 0. Calculate p.
-1, 2
Suppose 2/7*n**2 + 0 + 0*n = 0. Calculate n.
0
Let w(r) be the first derivative of r**7/840 - r**6/180 + r**5/120 - r**3 - 4. Let s(u) be the third derivative of w(u). Factor s(x).
x*(x - 1)**2
Let w = -1/372 + 559/372. Factor -5/2*j**2 + 9/2 - 1/2*j**3 - w*j.
-(j - 1)*(j + 3)**2/2
Suppose 2 - 26 = -3*l. Let g = -5 + l. Solve -13*m**g - 3/2*m**5 + 7*m**4 + 12*m**2 + 1 - 11/2*m = 0 for m.
2/3, 1
Let r(p) = 4*p**2 + 44*p + 3. Let g be r(-11). Factor -12 + 6*q - 3/2*q**g + 3*q**2.
-3*(q - 2)**2*(q + 2)/2
Suppose -p = -5*p - 8, -6 = -3*a + 3*p. Let 0*u + a + 0*u**2 - 2/7*u**3 = 0. Calculate u.
0
Let y be (2/(-4))/(-5 + (-203)/(-42)). Solve 1/3*p**5 + 1/3*p**y + 0*p**2 + 0 + 0*p + 2/3*p**4 = 0 for p.
-1, 0
Suppose -2*h = -c + 11, 3*h - 19 = -5*c - 3. Let u(f) be the third derivative of 0 - f**2 - 1/3*f**3 + 0*f + 0*f**4 + 1/30*f**c. Let u(g) = 0. What is g?
-1, 1
Let f = 10 - 6. Factor 2*r**3 - 2*r**3 - 5*r**2 + 3*r**f - 3*r**5 + 2*r**2 + 3*r**3.
-3*r**2*(r - 1)**2*(r + 1)
Let m(w) = w**4 + w**3 + w**2. Let g(s) = 7*s**4 - 3*s**3 + 11*s**2 + 8*s - 8. Let y(l) = g(l) - 5*m(l). Determine d so that y(d) = 0.
-1, 1, 2
Determine f, given that 5*f + 3*f - 3 - f**2 + f**5 - 5*f**3 - 1 + f**4 = 0.
-2, 1
Let y(h) be the first derivative of -h**3/9 - 5*h**2/3 - 25*h/3 + 16. Factor y(n).
-(n + 5)**2/3
Let g be 3 + 17/(-15) + (-12)/(-90). Suppose -4/5*a + 14/5*a**g + 8/5*a**3 + 0 = 0. Calculate a.
-2, 0, 1/4
Let j(c) be the third derivative of -2*c**7/105 - c**6/6 - 3*c**5/5 - 7*c**4/6 - 4*c**3/3 - 7*c**2. Suppose j(s) = 0. What is s?
-2, -1
Suppose -h - 3 = -4*h. Factor 2*b + h - 12*b**3 - 1 - 4*b**2 + 14*b**3.
2*b*(b - 1)**2
Let u(z) = 7*z**4 - 3*z**3 - 11*z**2 - 10*z - 4. Let a(q) = -3*q**4 + q**3 + 5*q**2 + 5*q + 2. Let v(l) = -10*a(l) - 4*u(l). Factor v(p).
2*(p - 2)*(p + 1)**3
Let h = -127 - -509/4. Let m(j) be the first derivative of 1 + 1/5*j**5 + 0*j - h*j**4 + 0*j**2 + 0*j**3. Factor m(w).
w**3*(w - 1)
Let x(f) be the first derivative of 0*f**3 + 1/30*f**5 + 1/24*f**6 + f**2 + 3 + 0*f**4 + 0*f. Let q(m) be the second derivative of x(m). Factor q(a).
a**2*(5*a + 2)
Let m(q) = -3*q**2 + q. Let h = -5 + 3. Let i(j) = 10*j**2 - 3*j. Let w = 3 + -10. Let t(p) = h*i(p) + w*m(p). Let t(s) = 0. Calculate s.
0, 1
Let c(k) be the first derivative of 2*k**5/5 + 3*k**4/2 + 2*k**3 + k**2 - 2. Let c(s) = 0. Calculate s.
-1, 0
Let t(z) = 22*z**3 - 18*z**2 - 72*z - 24. Let v(q) = -7*q**3 + 6*q**2 + 24*q + 8. Let a(l) = -3*t(l) - 8*v(l). Find d such that a(d) = 0.
-1, -2/5, 2
Let p(u) = 3*u + 2. Let w be p(-1). Let h be w/4 + 91/28. What is z in 60/7*z**2 - 50/7*z**h + 16/7 + 72/7*z = 0?
-2/5, 2
Let s(d) be the third derivative of -d**5/30 + d**4/3 - 4*d**3/3 + 10*d**2. Determine h so that s(h) = 0.
2
Let p(j) = -j - 1. Let q be p(-3). Factor s**3 - s**4 - 3*s**q + 3*s**2.
-s**3*(s - 1)
Let l(b) be the third derivative of b**10/16800 + b**9/10080 - b**5/60 - b**2. Let g(m) be the third derivative of l(m). Factor g(v).
3*v**3*(3*v + 2)
Let c(s) be the first derivative of -1/10*s**4 + 1/50*s**5 + 2/15*s**3 + 0*s**2 + s + 1. Let f(o) be the first derivative of c(o). Factor f(t).
2*t*(t - 2)*(t - 1)/5
Let l(y) be the second derivative of y**7/5040 + y**6/1440 - y**5/120 - y**4/6 - 5*y. Let w(q) be the third derivative of l(q). Suppose w(o) = 0. What is o?
-2, 1
Let w(q) be the first derivative of -q**6/3 - 8. Factor w(v).
-2*v**5
Factor 1/5*d**5 + 2/5*d**2 + d**3 + 0*d + 4/5*d**4 + 0.
d**2*(d + 1)**2*(d + 2)/5
Factor -10*u**2 + 3*u**2 + 10*u**4 + 36*u**3 - 8 + 41*u**2.
2*(u + 1)**2*(u + 2)*(5*u - 2)
Suppose 27*x = -32*x + 51*x. Let 0*y + 2/7*y**3 + 2/7*y**4 + 0 + x*y**2 = 0. What is y?
-1, 0
Suppose -4*x = x. Suppose 0*b + 4*b - 4 = x. Determine t, given that -b - 2*t**2 - 2 - 1 + 6*t = 0.
1, 2
Let n(h) be the first derivative of -2*h**6/21 - 4*h**5/7 - h**4 - 4*h**3/7 + 5. Determine i, given that n(i) = 0.
-3, -1, 0
Let g be 6/18 - 2/(-3). Let d(n) be the first derivative of -g + 1/5*n**2 - 2/15*n**3 + 0*n. Find v such that d(v) = 0.
0, 1
Let c(m) be the first derivative of m**4/6 + 8*m**3/9 - 19*m**2/3 + 28*m/3 + 48. Factor c(a).
2*(a - 2)*(a - 1)*(a + 7)/3
Let i be (0 - 9/3)/(-1). Find l such that -l**2 - 7*l + 10*l - i*l = 0.
0
Let z(c) be the first derivative of c**7/2520 - c**5/360 + c**3/3 + 2. Let w(a) be the third derivative of z(a). Factor w(p).
p*(p - 1)*(p + 1)/3
Let i = 1 + -5. Let m be (i/(-50))/((-10)/(-100)). Determine x so that m + 2/5*x**2 + 6/5*x = 0.
-2, -1
Let u be 72/(-48) + (-19)/18 + 3. Factor -2/9*d**4 - 4/9*d**3 + 2/9 + u*d + 0*d**2.
-2*(d - 1)*(d + 1)**3/9
Let t(j) be the second derivative of -2*j**6/75 + 4*j**5/25 - j**4/3 + 4*j**3/15 + 3*j. Let t(r) = 0. Calculate r.
0, 1, 2
Let w be 110/(-1540)*1/((-2)/24). Factor 2/7 + 6/7*q**2 + 2/7*q**3 + w*q.
2*(q + 1)**3/7
Let r = -12 + 16. Let o(q) be the second derivative of 0 - 1/6*q**r - 1/2*q**3 - 1/2*q**2 + 2*q. Factor o(g).
-(g + 1)*(2*g + 1)
Let j(b) be the first derivative of b**6/12 - 4*b**5/5 + 11*b**4/4 - 4*b**3 + 9*b**2/4 + 7. Determine w so that j(w) = 0.
0, 1, 3
Solve -9 - 14 + 8 - 12 - 18*p - 3*p**2 = 0.
-3
Let u be (-3)/(-21) + (-83)/(-7). Suppose 0 = -g - 5*g + u. Find b such that 0 + 2*b**4 - 6/5*b**5 + 4/5*