ve o(r) = 0 for r.
-2, 0, 1
Factor -2*a**2 - 1 + 5/2*a + 1/2*a**3.
(a - 2)*(a - 1)**2/2
Let a(o) be the second derivative of o**6/180 + 13*o**5/120 + 19*o**4/24 + 11*o**3/4 + 9*o**2/2 - 587*o. Solve a(i) = 0.
-6, -3, -1
Let n(r) = 3*r + 50. Let b(d) = d**3 - 16*d**2 - 15. Let m be b(16). Let a be n(m). Factor -8/5*j**4 - 2/5*j**3 + 0*j + 0*j**2 + 0 - 6/5*j**a.
-2*j**3*(j + 1)*(3*j + 1)/5
Let i = 22038/5 + -4407. Factor 0*f - i*f**4 - 9/5*f**2 - 12/5*f**3 + 0.
-3*f**2*(f + 1)*(f + 3)/5
Let z = 1396/623 - -4/89. Factor -32/7*n**3 + 12/7*n**4 + 0 + 0*n + z*n**2.
4*n**2*(n - 2)*(3*n - 2)/7
Let g = -2/63 - -8/9. Let k(x) be the first derivative of -7 - g*x**2 + 4/21*x**3 + 8/7*x. Find l such that k(l) = 0.
1, 2
Let i = 146912/11 - 13354. Factor -12/11 - i*t + 12/11*t**2.
6*(t - 2)*(2*t + 1)/11
Let f(b) = 25*b**3 - 23*b**2 + 25*b. Let l(t) = -6*t**3 + 6*t**2 - 6*t. Let x = 842 - 833. Let o = -1 - -3. Let m(r) = o*f(r) + x*l(r). Factor m(k).
-4*k*(k - 1)**2
Factor -x**2 + 3 + 12*x - 56 + 13 + 4.
-(x - 6)**2
Let q be 0/(15 - (3 + 7)). Factor 1/2*i**3 + 3/4*i**4 + q*i + 0*i**2 + 0 + 1/4*i**5.
i**3*(i + 1)*(i + 2)/4
Let x(g) = 7*g**4 + 178*g**3 + 179*g**2 - 172*g - 180. Let p(r) = 2*r**4 + r**2 + 2*r - 1. Let h(o) = -12*p(o) + 4*x(o). Factor h(d).
4*(d - 1)*(d + 1)**2*(d + 177)
Let r = -690 + 692. Factor 7/4*h**r + 9/4 - 1/4*h**3 - 15/4*h.
-(h - 3)**2*(h - 1)/4
Let n = 1502 - 10509/7. Let 1/7*h**3 + h + n*h**2 + 3/7 = 0. Calculate h.
-3, -1
Let j = 8 + -6. Let s be 15/3*j/(-2). Let a(z) = -4*z**2 - 5. Let i(x) = -6*x**2 - 8. Let v(m) = s*i(m) + 8*a(m). Suppose v(w) = 0. Calculate w.
0
Suppose -n + 0 = 1. Let b(f) = 15*f**4 + 10*f**3 + 20*f**2 - 10*f. Let d(o) = o**4 - o**3 - o. Let p(g) = n*b(g) + 10*d(g). Factor p(l).
-5*l**2*(l + 2)**2
Let s be 78/12 - (-52)/(-8). Solve 2/17*b**2 - 2/17*b**3 + s + 0*b = 0 for b.
0, 1
Let t(u) be the third derivative of -u**2 - 1/336*u**8 - 13/150*u**5 + 1/5*u**3 - 2/25*u**6 + 0 + 1/24*u**4 - 2/75*u**7 + 0*u. Determine c, given that t(c) = 0.
-3, -1, 2/5
Let n(k) be the third derivative of k**6/30 + 26*k**5/5 + 51*k**4/2 + 152*k**3/3 - 14*k**2 + 5*k. Suppose n(d) = 0. What is d?
-76, -1
Let l be (81/(-21))/(-9)*(-203)/(-58). Factor -1152*x - l*x**3 + 6144 + 72*x**2.
-3*(x - 16)**3/2
Let o(s) be the second derivative of s**5/5 - 7*s**4/3 - 16*s**3/3 + 49*s. Factor o(a).
4*a*(a - 8)*(a + 1)
Suppose -25*k = -19*k. Let b(w) be the third derivative of 0 + 5*w**2 + 5/6*w**4 - 1/3*w**3 - 5/6*w**5 + k*w. Factor b(r).
-2*(5*r - 1)**2
Factor 8/5*g**2 + 0 + 1/5*g**3 + 16/5*g.
g*(g + 4)**2/5
Let o(m) = -2*m**2 + 22*m + 486. Let n be o(22). Factor 0 - 1/2*y**3 + 0*y + y**n.
-y**2*(y - 2)/2
Let w be 1/((-4)/(-20)) + -1. Let y(j) be the first derivative of -1/10*j**w - 12/5*j**2 + 16/5*j + 6 + 4/5*j**3. Factor y(q).
-2*(q - 2)**3/5
Let z(o) be the second derivative of 0*o**2 + 0*o**4 + 3/10*o**5 + 16*o + 0 + 1/10*o**6 + 0*o**3. Determine c, given that z(c) = 0.
-2, 0
Let r(z) be the third derivative of 0*z**4 + 1/24*z**6 - 1/12*z**5 + 7*z**2 + 0 + 0*z + 0*z**3. Solve r(h) = 0 for h.
0, 1
Let f(k) = -602*k + 2411. Let o be f(4). Determine c so that -3/8*c**o - c**4 + 0 - 3/8*c**5 + 1/4*c**2 + 0*c = 0.
-2, -1, 0, 1/3
Let r(z) be the second derivative of z**6/15 - 61*z**5/20 - 31*z**4/12 + z - 39. Find w such that r(w) = 0.
-1/2, 0, 31
Determine i so that -12/5 - 3/5*i**3 + 12/5*i + 3/5*i**2 = 0.
-2, 1, 2
Let p(u) = -u**2 - 4*u + 3. Let s be p(-4). Suppose -s + 0 = -o. Factor 3*c**2 + 3*c - o*c**2 - c**3 - 2*c**3.
-3*c*(c - 1)*(c + 1)
Let b(g) = -g - 4. Let j be b(-7). Factor 0*c**3 + 144 + 132*c + 27*c**2 + 13*c**2 + c**3 + j*c**3.
4*(c + 3)**2*(c + 4)
Let d(l) be the first derivative of -11*l**6/2880 + l**5/160 + 22*l**3/3 - 27. Let k(r) be the third derivative of d(r). Factor k(h).
-h*(11*h - 6)/8
Let v be (-6)/3 - (-7 + 2). Find a such that 314 + 2*a**v - 296 + 9*a**2 + 30*a + 5*a**2 = 0.
-3, -1
Let n(s) = s**2 - 6*s + 2. Let q be n(4). Let x be (3/(-2))/(2/q). Let -13/2*p - x*p**3 + 1 + 10*p**2 = 0. Calculate p.
2/9, 1
Let g(p) be the third derivative of 21*p**2 + 0*p - 1/120*p**6 + 0*p**3 + 1/210*p**7 + 0 + 1/24*p**4 - 1/60*p**5. What is m in g(m) = 0?
-1, 0, 1
Let y(l) be the first derivative of 8/3*l + 9 + 4/9*l**3 - 2*l**2. Factor y(k).
4*(k - 2)*(k - 1)/3
Let z = 2781/3220 - 3/460. Factor -16/7 - 4*t - z*t**2.
-2*(t + 4)*(3*t + 2)/7
Let u = -2416 + 7280/3. Factor 0*v + u*v**3 - 20/3*v**4 + 0 + 16/3*v**2.
-4*v**2*(v - 2)*(5*v + 2)/3
Suppose -b + 22 - 17 = 0. Let 3*c**2 - 16*c**2 + 2*c**5 + 10*c**4 + 6*c**3 - b*c**2 = 0. Calculate c.
-3, 0, 1
Let 4*v**2 + 16 + 19*v - 37*v + 0*v**2 - 2*v**2 = 0. What is v?
1, 8
Determine j, given that -1 + 5/3*j + 16/3*j**4 - 7*j**3 + 7/3*j**2 - 4/3*j**5 = 0.
-1/2, 1, 3/2
Let a(t) be the first derivative of -4*t - 1/2*t**2 + 7 - 1/8*t**4 - 7/12*t**3. Let c(f) be the first derivative of a(f). Factor c(k).
-(k + 2)*(3*k + 1)/2
Let u(f) = f**2 + 3. Let r(g) = 3*g**3 - 45*g**2 - 3*g + 21. Let d(i) = r(i) + 6*u(i). Factor d(m).
3*(m - 13)*(m - 1)*(m + 1)
Let s(g) be the first derivative of -g**6/8 - g**5/24 - 6*g**3 + 29. Let b(n) be the third derivative of s(n). Solve b(d) = 0.
-1/9, 0
Find a, given that 8*a + 3*a**3 + 18*a**3 - 4*a + 35*a - 3*a + 3*a**4 + 48*a**2 = 0.
-3, -2, 0
Let g(m) be the third derivative of -13*m**2 - 35/24*m**4 - 5/12*m**5 - 5/2*m**3 + 0*m - 1/24*m**6 + 0. Factor g(z).
-5*(z + 1)**2*(z + 3)
Let x be 1/(-2)*(-9 - (-5 + 6)). Suppose 3*f = 6*f - 6. Solve -h**x + 1 + 10*h**f + 4*h**4 + h**4 - 4*h - 10*h**3 - h = 0.
1
Let d(m) be the third derivative of -m**7/70 + m**5/10 - m**3/2 + 306*m**2. Factor d(h).
-3*(h - 1)**2*(h + 1)**2
Let h be ((-26)/8 - -4)*4 + -1. Factor -12/5*q - 3 + 3/5*q**h.
3*(q - 5)*(q + 1)/5
Let b(v) = 4*v**3 + 10*v**2 + 15*v + 3. Let m(w) = 15*w**3 + 39*w**2 + 59*w + 11. Let z(o) = 22*b(o) - 6*m(o). Factor z(c).
-2*c*(c + 3)*(c + 4)
Let l(h) be the first derivative of -11*h**6/1080 + h**5/40 + h**4/36 + 10*h**3 + 17. Let g(a) be the third derivative of l(a). Let g(o) = 0. What is o?
-2/11, 1
Let u(n) = -5*n**4 - 85*n**3 - 471*n**2 - 863*n - 490. Let w(v) = -5*v**4 - 85*v**3 - 472*v**2 - 861*v - 490. Let m(f) = -7*u(f) + 6*w(f). Factor m(j).
5*(j + 1)*(j + 2)*(j + 7)**2
Factor 132*n**3 + 38*n**4 - 300*n**2 - 145*n**4 + 128*n**4 - 96*n.
3*n*(n - 2)*(n + 8)*(7*n + 2)
Let f(t) = t - 1. Let p(x) = x**2 - 33*x + 57. Let u(a) = 10*f(a) + 2*p(a). Factor u(o).
2*(o - 26)*(o - 2)
Let b(g) be the first derivative of -g**6/15 + 6*g**5/25 + 3*g**4/10 - 14*g**3/15 - 6*g**2/5 - 38. Solve b(x) = 0.
-1, 0, 2, 3
Let w(h) be the first derivative of 0*h**3 + 8 - 3/4*h**4 - 6*h + 9/2*h**2. Factor w(v).
-3*(v - 1)**2*(v + 2)
Let q(p) be the second derivative of -2*p**7/189 - 4*p**6/135 + p**5/45 + 2*p**4/27 - 6*p + 8. Determine m so that q(m) = 0.
-2, -1, 0, 1
Suppose -5*z + 5*i = -5, -2*z + 4*i - 7 = -i. Let l(q) be the first derivative of -2/3*q - 6 + 1/6*q**z + q**2 - 2/3*q**3. Factor l(m).
2*(m - 1)**3/3
Suppose 3*d = 2 + 4. Solve -36*a**2 - d*a**3 - 27*a - 10*a**3 + 2*a**3 - 2*a**3 = 0 for a.
-3/2, 0
Let b = -35 - -14. Let v = 23 + b. Factor -195*d**v - 9*d**3 - 3 + 201*d**2 + 3.
-3*d**2*(3*d - 2)
Let j(m) be the third derivative of -m**6/40 + 3*m**5/4 - 27*m**4/8 + 13*m**3/2 - 55*m**2. Find y such that j(y) = 0.
1, 13
Let n(m) be the second derivative of -m**5/45 - 137*m**4/54 - 68*m**3/27 - 472*m. Determine h, given that n(h) = 0.
-68, -1/2, 0
Let h(y) be the third derivative of -8*y**2 - 1/75*y**5 + 0*y + 0*y**4 + 0 + 0*y**3 + 1/100*y**6 - 1/525*y**7. Factor h(m).
-2*m**2*(m - 2)*(m - 1)/5
Let a be 25/10 + 13 + (4 - 19). Factor -a*b + 1/2*b**2 - 3.
(b - 3)*(b + 2)/2
Let i(y) be the third derivative of y**8/80640 - y**7/1680 + y**6/80 - 11*y**5/30 + 3*y**2 + 5*y. Let x(f) be the third derivative of i(f). Factor x(g).
(g - 6)**2/4
Factor 25*v**2 + 4*v**4 - 13*v**4 + 4*v - 3*v**3 - 17*v**2.
-v*(v - 1)*(3*v + 2)**2
Let u(c) be the second derivative of c**4/8 - 31*c**3/2 + 328*c + 1. Solve u(s) = 0.
0, 62
Let i(f) be the first derivative of 22*f**3/21 + 20*f**2/7 - 24*f - 475. Factor i(u).
2*(u - 2)*(11*u + 42)/7
Suppose 3*m + 3 = 4*m. Suppose 0 = t + 5*v + 2, m*t - 4*v + 11 = 8*t. Let -5*h - h + 2*h + h**3 + h**t + 2*h**2 = 0. Calculate h.
-2, 0, 1
Factor 72/7*w**2 - 10*w 