uch that j(d) = 0.
-1, -2/5, 0
Let g(r) be the third derivative of 0 + 2/9*r**4 + 23/90*r**6 - 1/36*r**8 - 29/45*r**5 + 2/63*r**7 + 0*r + 8/9*r**3 - 30*r**2. Let g(z) = 0. Calculate z.
-2, -2/7, 1
Let v = -3828 + 3828. Factor 26/3*z**2 - 2*z**3 - 8/3*z + v.
-2*z*(z - 4)*(3*z - 1)/3
Solve 0*z**3 + 16/3*z + 4*z**2 - 1/3*z**4 + 0 = 0.
-2, 0, 4
Let w(h) = 8*h**2 + 18*h + 13. Let z be w(-2). Let o(r) be the third derivative of -z*r**2 + 0*r + 4*r**3 + 1/2*r**4 + 0 + 1/40*r**5. Factor o(l).
3*(l + 4)**2/2
Let o(m) = -m**3 + 6*m**2 - 3*m - 8. Let d be o(5). Determine z so that -9 - 59*z + 29*z + 5*z**d + 27*z - z**3 = 0.
-1, 3
Suppose -12*l + 40 = l + 7*l. Factor -3/2*w**l + 0*w + 2 + 1/2*w**3.
(w - 2)**2*(w + 1)/2
Suppose 47 = 8*a - 1. Let j(p) be the first derivative of 3/4*p**2 + 3/8*p**4 + 0*p - a + p**3. Factor j(z).
3*z*(z + 1)**2/2
Let -2/7*x**2 + 0 - 4/7*x = 0. Calculate x.
-2, 0
Let k(h) be the first derivative of -3*h**4/4 - 5*h**3 - 12*h**2 - 12*h + 336. Factor k(i).
-3*(i + 1)*(i + 2)**2
Let w(x) be the second derivative of 1/20*x**6 - 1/8*x**4 + 0*x**5 + 0 + 0*x**2 + 23*x - 1/56*x**7 + 1/8*x**3. What is f in w(f) = 0?
-1, 0, 1
Let n be 1333/1419 + 12/(-44). Factor -n*u**2 + 1/2*u**3 - 5/6*u + 1/3.
(u - 2)*(u + 1)*(3*u - 1)/6
Let s(t) be the second derivative of -t - 20/3*t**3 + 0 + 5/12*t**4 + 40*t**2. Let s(l) = 0. Calculate l.
4
Let b**2 + b**2 + 2*b**2 + 16*b - 17*b - 39*b = 0. What is b?
0, 10
Let l be ((1 - -1) + 153/(-54))/(315/(-441)). Factor 8/3*o + 2/3 + l*o**2.
(o + 2)*(7*o + 2)/6
Let m(c) = -c**3 + 26*c. Let y be m(0). Let j(v) be the third derivative of 0*v - 1/8*v**4 + 1/30*v**5 - 1/3*v**3 + y + 7*v**2. Let j(g) = 0. Calculate g.
-1/2, 2
Let n be 30/20*4/9*15. What is j in -8 + 18 + 65*j**3 + 140*j**2 - n + 20*j = 0?
-2, -2/13, 0
Let r(u) = -u**4 - u**2 + u + 1. Let g(a) = -8*a**4 - 24*a**3 - 8*a**2 + 100*a - 60. Let t(f) = g(f) - 4*r(f). Factor t(h).
-4*(h - 1)**2*(h + 4)**2
Let j = -62 + 64. Solve 15*v - 6 - 12*v**3 - 14*v**3 - 12*v**j + 29*v**3 = 0 for v.
1, 2
Let l(i) = i**3 - 6*i + 9. Let a be l(-3). Factor 0 + 2/5*g**4 + 4/5*g**3 + 0*g - 6/5*g**5 + a*g**2.
-2*g**3*(g - 1)*(3*g + 2)/5
Suppose -12*h + 41 = -7. Factor 0*b + 0 + 0*b**2 - 5/2*b**3 - 5/2*b**h.
-5*b**3*(b + 1)/2
What is n in -3*n**2 + 2500 + 2*n**2 - 112*n - 98*n + 5*n**2 + 10*n = 0?
25
Let n(a) be the second derivative of -5*a**5/4 + 85*a**4/12 - 40*a**3/3 + 10*a**2 - a - 89. Factor n(h).
-5*(h - 2)*(h - 1)*(5*h - 2)
Let m(s) be the second derivative of -s**5/140 - s**4/21 - 5*s**3/42 - s**2/7 + 15*s + 2. Determine n so that m(n) = 0.
-2, -1
Let o(n) = -n**3 - 12*n**2 + 17. Let r be o(-12). Suppose -10*j = -r*j. Let -2/9*h**3 + 1/9 + j*h**2 + 2/9*h - 1/9*h**4 = 0. What is h?
-1, 1
Suppose 0 = 5*w - 724 + 714. Let a(y) be the second derivative of w*y**2 - 4/3*y**3 + 1/3*y**4 + 0 + 3*y. Factor a(i).
4*(i - 1)**2
Let g = -875 - -877. Let o(n) be the second derivative of 3*n**g + 2*n + 0 - 1/2*n**4 + 3/20*n**5 - 1/2*n**3. Factor o(d).
3*(d - 2)*(d - 1)*(d + 1)
Let v(h) be the first derivative of -2*h**3 + 3*h**2 + 8*h + 37. Let z(x) = x**2 - x - 2. Let r(c) = -v(c) - 4*z(c). Solve r(b) = 0 for b.
0, 1
Let a(b) be the first derivative of -b**6/150 - b**5/50 - b**4/60 - 7*b + 4. Let v(x) be the first derivative of a(x). Suppose v(m) = 0. What is m?
-1, 0
Let c(d) = -7*d**2 + 34*d + 372. Let a(j) = 20*j**2 - 104*j - 1113. Let k(b) = -4*a(b) - 11*c(b). Determine q, given that k(q) = 0.
-6, 20
Let y = -7 + 4. Let n(p) = -p**3. Let i(c) = -3*c**3 + 2*c**2 + 3*c. Let g(r) = y*i(r) + 6*n(r). Factor g(h).
3*h*(h - 3)*(h + 1)
Let f(k) be the first derivative of 5*k**6/21 - 2*k**5/5 - 11*k**4/14 + 2*k**3/3 + 6*k**2/7 + 169. Solve f(a) = 0 for a.
-1, -3/5, 0, 1, 2
Let f(j) be the second derivative of j**4/8 - 27*j**3/4 + 75*j**2/2 - 49*j. Suppose f(d) = 0. Calculate d.
2, 25
Suppose -18 - 37 = -11*b. Factor 2*p**3 - b - 4 + 4 - 3 + 6*p**2.
2*(p - 1)*(p + 2)**2
Let x be (-22)/(-12) - 69/46. Solve -x*s**2 - 1/3*s + 1/3*s**3 + 1/3 = 0 for s.
-1, 1
Let v(j) = 2*j**5 + 2*j**4 - 5*j**3 - 15*j**2 + 23*j. Let n(r) = -r**5 - r**4 + 3*r**3 + 7*r**2 - 11*r. Let o(x) = -7*n(x) - 3*v(x). Find m such that o(m) = 0.
-2, 0, 1, 2
Suppose -3*j + 5*p - 4 = 0, 3*j + 3*p - 18 = -6. Let n be (4/8)/(1/4). Let j*y**4 - y**n - 2*y**3 - y**2 + 3*y - y = 0. Calculate y.
-1, 0, 1
Let k be (252/154 + (-4)/(-11))/((-10)/(-4)). Determine r, given that k*r + 18/5*r**2 + 2*r**4 + 24/5*r**3 + 0 = 0.
-1, -2/5, 0
Let q = -990 - -994. Determine w so that 5/2*w**3 - 5/2*w - 1/2*w**2 + 3/2*w**q - 1 = 0.
-1, -2/3, 1
Let h(s) be the first derivative of -s**6/90 - 2*s**5/45 + s**4/6 + s**2 + 8. Let i(v) be the second derivative of h(v). Let i(o) = 0. What is o?
-3, 0, 1
Let a be 26/3 + (-11)/(66/48). Factor 2/3*x**2 - 2/3*x**4 + 0 + 2/3*x - a*x**3.
-2*x*(x - 1)*(x + 1)**2/3
Let z be (-32)/(-7) - (-5 + (-39)/(-7)). Let c(l) = -21*l + 15. Let u(i) = -i**2 - 22*i + 15. Let q(t) = z*c(t) - 3*u(t). Determine x so that q(x) = 0.
1, 5
Let o = -43 - -31. Let q = o - -15. Factor -4 - 2*k**2 - 4*k + 1 + q.
-2*k*(k + 2)
Let d(w) be the first derivative of -w**7/4200 - w**6/1800 + w**3/3 + 8. Let v(g) be the third derivative of d(g). Solve v(l) = 0 for l.
-1, 0
Let g = 20 - 18. Suppose -3*i + 3 = -3*y - 3, g*i - 4 = -y. Let 11*k - 3*k**2 - 3*k**3 - 5*k - k**i + k**2 = 0. Calculate k.
-2, 0, 1
Let a(p) be the first derivative of 2*p**3/33 - 4*p**2/11 + 6*p/11 - 62. Find y, given that a(y) = 0.
1, 3
Let h(f) = -5*f**2 - 10*f - 10. Let r(v) = v + 1. Suppose -15 = u + 3*u + 5*d, 50 = -4*u + 2*d. Let a(w) = u*r(w) - h(w). Factor a(k).
5*k**2
Suppose -15*h + 34*h - 37*h = 66*h. Solve h + 4/7*c - 2/21*c**2 = 0.
0, 6
Let p(i) = -3*i**2 - 4*i + 3. Let x(n) = 7*n**2 + 8*n - 6. Let j be 5 - 6/9*-6. Let l(t) = j*p(t) + 4*x(t). Factor l(s).
(s - 3)*(s - 1)
Let t be -8 - (66/(-88))/((-3)/(-50)). Find i such that 0 + i**5 + 7*i**3 - 9/2*i**4 + i - t*i**2 = 0.
0, 1/2, 1, 2
Let z(x) be the first derivative of -7*x**6/6 + 22*x**5/5 - 23*x**4/4 + 8*x**3/3 - 726. Factor z(w).
-w**2*(w - 1)**2*(7*w - 8)
Let -6/5*x - 6/5*x**2 + 12/5*x**5 + 6*x**4 + 18/5*x**3 + 0 = 0. Calculate x.
-1, 0, 1/2
Factor 21632/5*r - 8762/5*r**2 - 17576/5 - 86/5*r**4 + 1334/5*r**3 + 2/5*r**5.
2*(r - 13)**3*(r - 2)**2/5
Let a(f) be the third derivative of 0 + 3/20*f**5 + 1/3*f**3 + 0*f + 1/210*f**7 + 7/24*f**4 + 41*f**2 + 1/24*f**6. Let a(g) = 0. What is g?
-2, -1
Let p be -14*(-4)/(-12) - -5. Let k(r) be the third derivative of 0*r**3 + 2*r**2 - p*r**4 - 1/15*r**5 + 0*r + 1/30*r**6 + 0. Find z, given that k(z) = 0.
-1, 0, 2
Suppose -11 = t - 3*j, 0*t + j - 9 = -t. Factor -t*u**4 - 4 - 24*u**3 - 18*u**2 + 4 - 18*u**2.
-4*u**2*(u + 3)**2
Suppose 4*k - 15 = 5. Suppose -6*h = -k*h - 10. Factor -h*x**3 + 16/3*x**2 + 0 - 8/9*x + 50/9*x**4.
2*x*(x - 1)*(5*x - 2)**2/9
Suppose 67*s - 6 = 64*s. Factor 5*o**s + 4*o**2 - 4*o**2 + 10*o + 15*o.
5*o*(o + 5)
Let y(u) be the second derivative of 961*u**4/36 + 31*u**3/9 + u**2/6 - 19*u. Factor y(d).
(31*d + 1)**2/3
Suppose -12*d + 17*d = -2*w + 24, 2*w = d. Factor -w*g + 9/5 + 1/5*g**2.
(g - 9)*(g - 1)/5
Suppose 4 - 16 = -4*z, -a + 3*z = -1. Suppose -s**2 + 2 + s + 6 + 2*s - a = 0. Calculate s.
1, 2
Let g(v) be the first derivative of -1/14*v**4 + 16/7*v + 4/7*v**2 - 4/21*v**3 + 14. Factor g(l).
-2*(l - 2)*(l + 2)**2/7
Let j(z) = z**4 - z**3 + z**2 + z - 2. Let u(s) = 2*s**4 - 23*s**3 + 65*s**2 - 73*s + 29. Let c(q) = j(q) + u(q). Factor c(l).
3*(l - 3)**2*(l - 1)**2
Let a = 56385/5788 + 12/1447. Solve -a*q**3 + 9/2 - 33/4*q**2 + 39/4*q + 15/4*q**4 = 0.
-1, -2/5, 1, 3
Let b(q) be the first derivative of -q**3/21 + 5*q**2/14 - 149. Factor b(r).
-r*(r - 5)/7
Factor -2/9*o**2 + 2/3*o + 0.
-2*o*(o - 3)/9
Suppose h = -h + 12. Suppose p = -2 + h. Factor 2 + 3*i - 4*i + p*i + 2*i**2 + i.
2*(i + 1)**2
Let p(f) be the third derivative of -243*f**7/14 + 1053*f**6/8 + 387*f**5/2 + 665*f**4/6 + 100*f**3/3 + 2*f**2 - 12. Suppose p(i) = 0. Calculate i.
-2/9, 5
Let q(a) be the first derivative of -a**6/180 - a**5/60 - a**4/48 - 13*a**3/3 - 1. Let j(z) be the third derivative of q(z). Solve j(d) = 0 for d.
-1/2
Suppose 0 = -4*t + 3*d - 1 + 12, -5*t + d = -22. Let q be (36/20)/(4/t). Solve 1/2 + 23/4*p**2 + 3/4*p**3 - q*p**4 + 13/4*p = 0 for p.
-1, -1/