(r). Solve g(o) = 0 for o.
-1, 3
Let g(u) be the second derivative of -3*u**5/20 - 3*u**4 + 30*u**3 + 1200*u**2 + 32*u - 1. Find q such that g(q) = 0.
-10, 8
Suppose 5*u = -2*m + 16, -u = m + 2 - 4. Let d(x) be the second derivative of -x**3 - 9/4*x**2 - 8*x + 0 - 1/8*x**u. Let d(h) = 0. Calculate h.
-3, -1
Let i(q) = 15*q**3 - 45*q**2 + 45*q - 39. Let x(w) = w**3 - 2*w**2 - 1. Let z(n) = i(n) - 12*x(n). Solve z(s) = 0.
1, 3
Let m be (0/((-1 + -4)*-1))/1. Let y(h) be the second derivative of m - 1/10*h**5 - 6*h + h**3 - 1/3*h**4 + 0*h**2. Factor y(q).
-2*q*(q - 1)*(q + 3)
Find l, given that -1600/3 + 2240/3*l + 236/3*l**2 - 2/3*l**5 - 794/3*l**3 - 80/3*l**4 = 0.
-20, -2, 1
Let w(h) be the first derivative of h**3/3 + 315*h**2 + 99225*h - 1040. Find d such that w(d) = 0.
-315
Let i = -1369 + 184816/135. Let g(o) be the second derivative of -3*o + 1/9*o**2 - i*o**6 + 0 + 1/45*o**5 + 0*o**4 - 2/27*o**3. Suppose g(y) = 0. What is y?
-1, 1
Let b(p) be the first derivative of -14/57*p**3 + 11/19*p**2 + 43 - 10/19*p + 1/38*p**4. Solve b(n) = 0.
1, 5
Let b(n) = -n**4 + n**3 - 1. Let h(i) = 3*i**4 - 3*i**3 - 5*i**2 + 5*i - 2. Let z(t) = t + 1. Let d be z(-2). Let p(c) = d*h(c) + 2*b(c). Factor p(y).
-5*y*(y - 1)**2*(y + 1)
Factor 6/7*z**3 + 1/7*z**5 + 0 - 4/7*z**4 - 4/7*z**2 + 1/7*z.
z*(z - 1)**4/7
Factor -260100*t**3 + 66325500*t**2 + 431281563750 - 8456501250*t + 510*t**4 - 2/5*t**5.
-2*(t - 255)**5/5
Let q(c) be the second derivative of c**5/4 + 3*c**4/2 - 11*c**3/2 + 5*c**2 - 5*c + 3. Factor q(b).
(b - 1)*(b + 5)*(5*b - 2)
Let d be -1*(-534)/99 + -4. Let w = d + -8/11. Factor 2/3*c**3 - 2/3*c**2 + 2/3 - w*c.
2*(c - 1)**2*(c + 1)/3
Let s(b) be the second derivative of -3*b**5/20 + 13*b**4/2 - 46*b**3 + 132*b**2 + 285*b. Determine a, given that s(a) = 0.
2, 22
Let p(x) = x**2 + x + 6. Let r(u) = u**2 + u + 12. Suppose -4*v - 2*z = z + 16, -4 = z. Let m = v + -3. Let y(f) = m*r(f) + 7*p(f). Let y(k) = 0. What is k?
-2, 1
Let s = 8452 - 25352/3. Let -1/3*k**2 - s - 5/3*k = 0. What is k?
-4, -1
Let i(r) be the second derivative of 1/12*r**4 - 32*r + 5/3*r**3 + 0 + 0*r**2. Determine v so that i(v) = 0.
-10, 0
Let o(w) be the third derivative of 0*w + 12*w**2 + 1/6*w**4 + 0 + 0*w**3 + 1/15*w**5. Factor o(l).
4*l*(l + 1)
Let j(h) be the first derivative of h**6/2 + 9*h**5/5 - 4*h**3 - 141. Determine a, given that j(a) = 0.
-2, 0, 1
Let c(x) be the first derivative of -4/15*x**3 + 0*x + 1/5*x**2 + 4 + 1/10*x**4. Determine b, given that c(b) = 0.
0, 1
Let f(x) be the third derivative of -2/105*x**7 + 2/15*x**6 - 2/3*x**3 + 0 - 2/5*x**5 + 0*x + 2/3*x**4 - 4*x**2. Determine c so that f(c) = 0.
1
Let d(g) be the first derivative of 3/2*g**2 - 1 + 0*g**4 + 1/600*g**6 + 0*g**5 + 0*g**3 + 0*g. Let w(m) be the second derivative of d(m). Factor w(x).
x**3/5
Let h = 7216/5 - 1436. Let 0*u + 8/5*u**2 + 48/5*u**4 - h*u**3 - 4*u**5 + 0 = 0. What is u?
0, 2/5, 1
Let k(w) be the first derivative of 4*w**3/15 + 82*w**2/5 - 168*w/5 + 813. Determine s, given that k(s) = 0.
-42, 1
Suppose -14*j - 390 = -418. Let t(h) be the first derivative of 1/35*h**5 + 0*h + 0*h**j + 0*h**3 + 0*h**4 - 5. Factor t(q).
q**4/7
Let i(a) be the first derivative of -a**3/6 - a**2 - 95. Factor i(z).
-z*(z + 4)/2
Let t = 25 + -4. Let w = t + -16. Factor 3*c**w + 6*c**2 + 3*c**3 + 0*c**4 - 6*c**3 - 6*c**4.
3*c**2*(c - 2)*(c - 1)*(c + 1)
Let y(k) be the first derivative of -k**3/12 + k - 10. What is j in y(j) = 0?
-2, 2
Let c(o) be the third derivative of o**6/6 + 8*o**5/15 - 2*o**4/3 + o**2 - 16. Let c(f) = 0. What is f?
-2, 0, 2/5
Suppose 3*v = m - 10 - 8, -3*v - 12 = m. Factor -16*l**5 - 4*l**m + 16*l**4 + 3*l + 4*l**4 - 3*l.
-4*l**3*(l - 1)*(4*l - 1)
Let t(r) be the second derivative of -r**6/135 + 23*r**5/45 - 143*r**4/18 - 2300*r**3/27 - 2500*r**2/9 - 87*r + 1. Find k such that t(k) = 0.
-2, 25
Let m(k) be the first derivative of k**6/15 + k**5/10 - k**4/2 - 5*k**3/3 - 2*k**2 + 12*k + 7. Let o(d) be the first derivative of m(d). Factor o(h).
2*(h - 2)*(h + 1)**3
Let p(g) = 32*g**4 - 25*g**3 - 54*g**2 + 121*g. Let d(i) = 15*i**4 - 12*i**3 - 27*i**2 + 60*i. Let f(s) = 13*d(s) - 6*p(s). Factor f(o).
3*o*(o - 3)*(o - 2)*(o + 3)
Let l(x) = -3*x - 7. Let u(d) = -2*d - 3. Let w(z) = 3*l(z) - 5*u(z). Let h be w(6). Factor 1/2*t**2 + 0*t + 0 + h*t**3 - 1/2*t**4.
-t**2*(t - 1)*(t + 1)/2
Let b = 7939/6 + -1323. Suppose 7/6*a + 0*a**2 - b*a**3 - 1 = 0. Calculate a.
-3, 1, 2
Let m(p) = -2*p**3 - 101*p**2 - 9. Let g(v) = 2*v**3 + 102*v**2 + 6. Let s(l) = 3*g(l) + 2*m(l). Factor s(j).
2*j**2*(j + 52)
Let j(r) be the third derivative of 0*r + 0*r**3 - 3*r**2 + 2/15*r**5 + 0*r**4 + 2/15*r**6 + 0 - 1/21*r**7. Solve j(u) = 0 for u.
-2/5, 0, 2
Let v(s) be the third derivative of 15*s**2 + 0*s - 11/105*s**6 + 0 - 17/168*s**4 + 32/735*s**7 + 1/21*s**3 - 1/147*s**8 + 2/15*s**5. Factor v(u).
-(u - 2)*(2*u - 1)**4/7
Let y = -3461 - -13845/4. Find n, given that y*n**2 + 3/4 + n = 0.
-3, -1
Let x = -6069 - -6071. Determine z so that -10/7*z**3 - 6/7*z - 16/7*z**x + 0 = 0.
-1, -3/5, 0
Let n(d) be the third derivative of 9*d**8/224 - 78*d**7/35 - 431*d**6/80 - 19*d**5/20 + 9*d**4/2 - 117*d**2 + 2. Find j, given that n(j) = 0.
-1, -2/3, 0, 1/3, 36
Suppose -28 = -2*d - 2*d. Factor 13 - 7*r**2 - d - 4*r + 5*r**2.
-2*(r - 1)*(r + 3)
Let n be (4 - 1)/(390/(-273) - (-229)/28). Solve 8/9*r**3 + n*r**4 + 4/9 - 4/9*r**5 - 8/9*r**2 - 4/9*r = 0 for r.
-1, 1
Let b(c) = c**4 + 4*c**3 - 16*c + 5. Let z(t) = 13*t**3 - 25*t + 15 - 58*t + 2*t**4 + 36*t. Let s(k) = 17*b(k) - 6*z(k). Factor s(u).
5*(u - 1)**3*(u + 1)
Let q(h) be the third derivative of h**6/90 - h**5/30 - h**3/3 + 5*h**2. Let r(l) be the first derivative of q(l). Factor r(z).
4*z*(z - 1)
Let y(b) be the first derivative of 27*b**3 - 3*b**2 + 154. Factor y(j).
3*j*(27*j - 2)
Factor 16/7*f + 8/7*f**2 - 2/7*f**5 - 12/7*f**3 + 0 - 10/7*f**4.
-2*f*(f - 1)*(f + 2)**3/7
Let w(o) be the third derivative of -o**7/105 + o**6/12 - o**5/15 - 2*o**4/3 - 13*o**2 - 2. Factor w(c).
-2*c*(c - 4)*(c - 2)*(c + 1)
Let k be 123/6 - 4/8. Suppose 3*h + 2*h - k = 0. Find v such that -24*v + 3*v**5 - 54*v**3 + 60*v**2 - 10*v**h + 31*v**4 - 6*v**5 = 0.
0, 1, 2
Let k be ((-17)/(-255)*0)/((-4)/2). Factor k + i**2 - 1/2*i**3 - 1/2*i.
-i*(i - 1)**2/2
Let i = 10192 + -40757/4. Factor -9/4*a**2 + 0 + 1/2*a - i*a**3.
-a*(a + 1)*(11*a - 2)/4
Let x(k) be the third derivative of 0*k - 14*k**2 - 25/24*k**4 + 5/3*k**3 - 1/24*k**6 + 0 + 1/3*k**5. Factor x(d).
-5*(d - 2)*(d - 1)**2
Let l(r) be the second derivative of -r**5/5 - 4*r**4/3 - 305*r. Suppose l(o) = 0. What is o?
-4, 0
Let x(y) = -y**2 - 5*y - 3. Let t be x(-2). Factor -2*f**t + 2*f**5 + 135*f**2 + 17*f**3 - 15*f**4 - 5*f**5 - 324.
-3*(f - 2)**2*(f + 3)**3
Let j(t) be the third derivative of -t**6/360 + 7*t**5/60 - 106*t**2. Factor j(w).
-w**2*(w - 21)/3
Let j be (-2 + (-1)/(-1))*(-197 + 195). Find w, given that 0 + 0*w**j + 10*w - 5/2*w**3 = 0.
-2, 0, 2
Suppose -3*j + 11 + 1 = 0. Solve 36*r**3 + 11*r**2 - 8*r - 5*r**5 - 20*r**j + 7*r**2 - 23*r**5 + 2*r**2 = 0.
-1, 0, 2/7, 1
Let b(s) be the second derivative of 1/50*s**6 - 3/20*s**4 - 6*s - 3/5*s**2 - 3/100*s**5 + 0 + 1/2*s**3. Determine q, given that b(q) = 0.
-2, 1
Let o(n) be the second derivative of -2*n**4/21 + 67*n**3/21 + 17*n**2/7 + n - 49. Suppose o(j) = 0. What is j?
-1/4, 17
Let j(g) be the third derivative of g**7/315 - g**6/90 - 7*g**5/90 - g**4/9 + 39*g**2 + 3. Factor j(c).
2*c*(c - 4)*(c + 1)**2/3
Let p(g) be the third derivative of g**7/1470 + g**6/504 - g**5/420 - g**4/6 + 8*g**2. Let z(h) be the second derivative of p(h). Let z(l) = 0. Calculate l.
-1, 1/6
Let f = 13/10 - 19/30. Suppose -3*s + 149 = 4*n + 155, 2*s = 5*n - 27. Suppose 0*w**2 + 2*w + 4/3 - f*w**n = 0. What is w?
-1, 2
Let u(c) = c**3 + 17*c**2 + 17*c + 19. Let t be u(-16). Suppose 10 = -t*i + 136. Let -10 - 5*b**4 - i*b**2 - 25*b**3 - 3*b**2 - 13*b - 22*b = 0. Calculate b.
-2, -1
Let h(b) be the first derivative of b**6/72 + 3*b**5/4 + 135*b**4/8 - 10*b**3/3 - 17. Let u(j) be the third derivative of h(j). Solve u(k) = 0.
-9
Let a(p) = 4*p**2 + 14*p - 22. Let o be a(-8). Determine j, given that 111*j**3 + 24*j**2 - 53*j**5 - o*j**4 + 116*j**5 - 12*j - 64*j**4 = 0.
-1/3, 0, 2/7, 1, 2
Factor -12/5*w**2 + 18/5 - 4/3*w*