z + 2)
Let x(r) be the third derivative of -r**7/105 - 3*r**6/20 - 29*r**5/30 - 13*r**4/4 - 6*r**3 + 198*r**2. Let x(z) = 0. Calculate z.
-3, -2, -1
Find g, given that 46*g**2 - 12*g**5 + 185*g**4 - 6*g**2 + 32*g**2 - 370*g**3 - 13*g**5 + 48*g**2 = 0.
0, 2/5, 3, 4
Let m(j) be the second derivative of j**5/2 - 175*j**4/36 - 40*j**3/3 - 35*j**2/6 + 14*j - 1. Factor m(a).
5*(a - 7)*(a + 1)*(6*a + 1)/3
Suppose 4*k + 3*c = 21, -4*c + 0*c + 3 = -3*k. Suppose 3*r**4 + 88*r**2 - 48*r**3 - 256*r - k*r**4 - 280*r**2 - 4*r**4 = 0. What is r?
-4, 0
Let g(m) be the first derivative of -5/3*m**3 + 0*m + 35/2*m**2 + 7. Let g(w) = 0. Calculate w.
0, 7
Let u be (-1*2)/(7/(-14)). Let q be 2/u + (-6)/(-4). Factor -15/7*r**3 + 0 - 3/7*r**4 - 12/7*r - 24/7*r**q.
-3*r*(r + 1)*(r + 2)**2/7
Let t(u) be the second derivative of u**7/42 - 3*u**6/5 - 19*u**5/20 + 4*u + 4. Factor t(r).
r**3*(r - 19)*(r + 1)
Let q = -621 - -625. Let f(s) be the first derivative of -9/35*s**5 + 0*s**2 - 1/7*s**3 + 0*s + 1/14*s**6 + 9/28*s**q - 4. Solve f(k) = 0.
0, 1
Let b(h) be the first derivative of 25/2*h**2 - 5/3*h**3 - 20*h + 41. Factor b(g).
-5*(g - 4)*(g - 1)
Determine i, given that -3/4*i + i**4 + 1/4*i**5 - i**2 + 1/2*i**3 + 0 = 0.
-3, -1, 0, 1
Let j(u) = 13*u**2 - 48*u + 35. Let x(p) = 6*p**2 - 24*p + 18. Let o(n) = -n**3 + n**2 + 2. Let q be o(0). Let z(l) = q*j(l) - 5*x(l). What is m in z(m) = 0?
1, 5
Let t(g) be the second derivative of 17/10*g**6 + 0 - 111/20*g**5 - 25*g + 6*g**2 - 3/14*g**7 + 39/4*g**4 - 10*g**3. Determine d so that t(d) = 0.
2/3, 1, 2
Let m(s) be the first derivative of -6*s**2 - 8*s - 4/3*s**3 + 7. Factor m(l).
-4*(l + 1)*(l + 2)
Factor -2 - 3*b - 1/4*b**3 - 3/2*b**2.
-(b + 2)**3/4
Suppose 53 - 5 = 3*w. Let s(i) = i**3 - 17*i**2 + 17*i - 12. Let v be s(w). Factor -v*y**4 + 18*y**2 - 10 - 3*y**2 - y**4 - 5*y**3 + 5*y.
-5*(y - 1)**2*(y + 1)*(y + 2)
Let k(c) be the second derivative of 5*c**7/42 + 5*c**6/6 + 3*c**5/4 - 25*c**4/12 - 10*c**3/3 - 183*c. Factor k(l).
5*l*(l - 1)*(l + 1)**2*(l + 4)
Determine l so that -7*l**4 - 3270*l**2 - 18522 + 5*l**4 + 954*l**2 - 21168*l - 456*l**2 - 128*l**3 = 0.
-21, -1
Let p = 3062 - 643019/210. Let c(q) be the third derivative of 0*q**4 + 0 + 0*q**3 + 0*q - 1/420*q**6 + p*q**5 + 5*q**2. Factor c(m).
-2*m**2*(m - 1)/7
Suppose 1040*h = 1033*h + 14. Factor -7/4*c**h + 0 + 5/4*c**3 + 1/2*c.
c*(c - 1)*(5*c - 2)/4
Let m be (-10)/8*((-2)/45)/1. Let j(p) be the third derivative of 0 + p**2 + 0*p - m*p**4 + 0*p**3 - 1/90*p**5. Factor j(g).
-2*g*(g + 2)/3
Let u(x) be the third derivative of x**7/90 - x**6/72 - 4*x**5/45 - x**4/18 + 115*x**2. Factor u(w).
w*(w - 2)*(w + 1)*(7*w + 2)/3
Let c(q) be the second derivative of -q**4/4 - 3*q**3 + 21*q**2/2 + 11*q. Solve c(z) = 0 for z.
-7, 1
Let y(r) = -12*r**4 - 2*r**3 + 12*r**2 - 16*r - 12. Let d(o) = -o**4 - o**3 + o**2 - 2*o - 2. Let x(s) = 6*d(s) - y(s). Suppose x(u) = 0. Calculate u.
-1, 0, 2/3, 1
Let v(i) = 8*i**2 + 18*i - 14. Let f be v(-8). Factor 4*r - f + 354 - 10*r + 2*r**2.
2*r*(r - 3)
Let l(p) be the third derivative of p**6/60 - 2*p**5/15 - 11*p**4/12 - 2*p**3 + 3*p**2 + 8. Find d, given that l(d) = 0.
-1, 6
Determine p, given that -2*p**4 - 123*p**2 + 6*p**4 + 207*p**2 + 50*p**3 + 2*p**4 - 8*p - 48 = 0.
-6, -2, -1, 2/3
Suppose -10 = -156*w + 155*w - 4*p, 2*p - 12 = -4*w. What is y in 0 + 0*y**4 - 1/3*y**5 + 0*y**w - 1/3*y + 2/3*y**3 = 0?
-1, 0, 1
Let j(y) be the second derivative of -y**3/6 - 5*y**2 + 2*y. Let z be j(-12). Factor z*o + 4*o - o + 4*o**2 + 3*o.
4*o*(o + 2)
Let 0*d + 1/3*d**5 + 0 + 6*d**4 + 27*d**3 + 0*d**2 = 0. Calculate d.
-9, 0
What is w in -1/5*w**4 - 24/5*w + 34/5*w**2 + 0 - 9/5*w**3 = 0?
-12, 0, 1, 2
Let x be (-2 - (-1 - 3))*1. Suppose -u + 3 = -4*q, 2*q + x*u - 5 = 1. Suppose -1 - 2*a**2 + a**2 + 2*a + q = 0. Calculate a.
1
Factor -45*c - 5*c + 5*c**2 - 10*c.
5*c*(c - 12)
Let c(j) be the first derivative of -10*j**2 - 17 - j**5 - 25/4*j**4 - 40/3*j**3 + 0*j. Determine d so that c(d) = 0.
-2, -1, 0
Let s(m) be the third derivative of -m**7/280 - m**6/120 + m**5/40 + m**4/8 + m**3/2 + 12*m**2. Let n(r) be the first derivative of s(r). Factor n(y).
-3*(y - 1)*(y + 1)**2
Factor -10/17*v**2 - 32/17*v - 24/17.
-2*(v + 2)*(5*v + 6)/17
Let o(n) be the second derivative of 0*n**3 + 0*n**4 + 0 + 11*n + 0*n**2 + 0*n**5 - 3/70*n**7 + 1/75*n**6. Factor o(c).
-c**4*(9*c - 2)/5
Let m(i) be the second derivative of -i**7/147 - i**6/35 - i**5/35 + 124*i. Factor m(z).
-2*z**3*(z + 1)*(z + 2)/7
Let c = 588 - 7051/12. Let l(m) be the first derivative of 1/8*m**5 + 1 + 5/16*m**4 + c*m**3 + 5/16*m**2 + 1/48*m**6 + 1/8*m. Determine r, given that l(r) = 0.
-1
Let s(x) = -9*x**4 - 7*x**3 - 8*x**2 - 2*x. Let d(t) = 22*t**4 + 14*t**3 + 17*t**2 + 5*t. Let a(n) = -2*d(n) - 5*s(n). Find p such that a(p) = 0.
-6, -1, 0
Let r(a) be the second derivative of -a**6/135 + a**5/15 - 11*a**4/54 + 2*a**3/9 - 4*a - 6. Solve r(j) = 0 for j.
0, 1, 2, 3
Let b(o) = -11*o**3 - 6*o**2 + 14*o + 15. Let w be b(-1). Let 8/3*z**4 + w - 4*z + 8/3*z**3 - 22/3*z**2 = 0. Calculate z.
-3/2, 1
Let w(j) = -j**2 + 410*j + 42448. Let f(k) = -2*k**2 + 409*k + 42454. Let n(q) = 2*f(q) - 3*w(q). Suppose n(x) = 0. Calculate x.
-206
Let b(q) = 2*q**3 + 16*q**2 + 38*q + 28. Let z(c) = -4*c**3 - 32*c**2 - 76*c - 58. Let a(v) = 10*b(v) + 4*z(v). Let a(h) = 0. What is h?
-4, -3, -1
Let k(g) = -13*g + 65. Let z be k(5). Let b(h) be the second derivative of -1/60*h**6 - 1/80*h**5 + z + 1/24*h**4 + 1/24*h**3 - h + 0*h**2. Factor b(s).
-s*(s - 1)*(s + 1)*(2*s + 1)/4
Let v(a) be the first derivative of -a**6/90 - a**5/30 + a**4/12 - 20*a + 18. Let p(k) be the first derivative of v(k). Solve p(q) = 0 for q.
-3, 0, 1
Let q(d) = 11*d**4 - 26*d**3 + 40*d**2. Let m(x) = -39*x**4 + 90*x**3 - 141*x**2. Let r(f) = 5*m(f) + 18*q(f). Find u, given that r(u) = 0.
0, 1, 5
Find s such that -22558*s**5 + 19*s**4 + 22562*s**5 + 172*s**3 + 33*s**4 + 60*s**2 - 288*s = 0.
-8, -3, 0, 1
Let k(v) be the first derivative of v**4 + 1108*v**3/9 + 12880*v**2/3 + 8464*v/3 - 384. Factor k(q).
4*(q + 46)**2*(3*q + 1)/3
Suppose 0 = -10*r + 5*r + 10. Solve -62*l**2 + 30*l**2 + 31*l**r + 2*l = 0.
0, 2
Let p be 14/98 + 799/(-5691). Let v = p - -3230/8943. Factor -2/11*z**2 - v + 6/11*z.
-2*(z - 2)*(z - 1)/11
Let n(u) be the second derivative of u**4/42 - 2*u - 38. Factor n(t).
2*t**2/7
Solve -9/2 - 25/2*k**2 + 57/4*k - 1/2*k**4 + 17/4*k**3 = 0.
1/2, 2, 3
Suppose 2/5*b**2 - 4/5*b - 6/5 = 0. What is b?
-1, 3
Let c(r) = -4*r + 9. Let b be c(-4). Let k = b + -23. Solve -9*n + 4 - 2*n**2 - 4*n**4 + n**3 + k*n**4 + 5*n**3 + 3*n = 0.
-1, 1, 2
Find i such that 1/4*i**4 + 0 + 25*i + 51/2*i**3 + 201/4*i**2 = 0.
-100, -1, 0
Let s be -5 + 0 + 25 + -21. Let m be s/2 + 10/4. Determine v, given that 111/4*v**4 - 3/2*v + 15*v**5 + 0 + 9*v**3 - 21/4*v**m = 0.
-1, -1/4, 0, 2/5
Solve -1/2*s**4 + s**2 + 1/6*s**5 + 1/6*s - 1/3*s**3 - 1/2 = 0 for s.
-1, 1, 3
Let v(y) be the third derivative of -1/30*y**6 + 0*y**3 + 0*y**7 + 0*y + 0 + 1/12*y**4 + 6*y**2 + 1/168*y**8 + 0*y**5. Factor v(c).
2*c*(c - 1)**2*(c + 1)**2
Factor 3/4*o**2 - 99/4 - 6*o.
3*(o - 11)*(o + 3)/4
Let x(h) = -3*h - 19. Let m be x(-8). Factor -m*g**4 - 10 + 14*g - 49*g - 25*g**3 - 17*g**2 + 0*g**4 - 28*g**2.
-5*(g + 1)**3*(g + 2)
Let r(f) be the first derivative of 0*f + 0*f**2 + 0*f**4 + 14 + 0*f**3 - 3/10*f**5. Solve r(d) = 0.
0
Suppose 8*m = -34 - 30. Let a be 14/49*(-42)/m. Factor -1/2*d**2 - a*d + 0.
-d*(d + 3)/2
Factor -33/4*h - 35/4 + 3/4*h**2 + 1/4*h**3.
(h - 5)*(h + 1)*(h + 7)/4
Let z(t) be the first derivative of 4/3*t**6 + 0*t**2 - 5*t**4 + 0*t - 7 - 8/3*t**3 - 4/5*t**5. Solve z(q) = 0.
-1, -1/2, 0, 2
Let u be (1 - 2) + 8/8. Let j be (-30)/(-70)*42/9. Factor 1/8*p**j - 3/8*p + u.
p*(p - 3)/8
Let f(g) = -g**2 - g - 3. Let j(v) = -v - 3. Let m(a) = 2*a + 5. Let q(b) = 5*j(b) + 3*m(b). Let d(i) = -f(i) - 5*q(i). Factor d(r).
(r - 3)*(r - 1)
Let m(x) = -14*x - 95. Let b be m(-7). Let d(u) be the second derivative of -13*u - 2/15*u**b - 1/15*u**4 + 4/5*u**2 + 0. Factor d(y).
-4*(y - 1)*(y + 2)/5
Let p(c) be the first derivative of -c**6/3 - 6*c**5/5 - c**4/2 + 2*c**3 + 2*c**2 - 223. Suppose p(u) = 0. What is u?
-2, -1, 0, 1
Suppose 2*b - 4*b + 6 = 0. What is u in -3*u - u + 4*u**b - 3*u**4 + 2*u**4 + 2