) be the second derivative of r(a). Factor t(w).
-4*(w - 1)*(w + 2)
Suppose 10*z + 20 = 14*z, -2*p = 4*z - 26. Let t(a) be the second derivative of -2*a**2 - 2/3*a**4 - 1/10*a**5 + 4*a - 5/3*a**p + 0. Factor t(q).
-2*(q + 1)**2*(q + 2)
Let h(g) be the third derivative of -6*g**2 + 0 - 25/24*g**4 + 1/12*g**5 + 0*g**3 + 0*g. Factor h(o).
5*o*(o - 5)
Let u(d) be the first derivative of -d**6/3 - 2*d**5 - 4*d**4 - 8*d**3/3 - 148. Factor u(j).
-2*j**2*(j + 1)*(j + 2)**2
Let i(h) be the third derivative of h**6/60 + 2*h**5/15 + 5*h**4/12 + 2*h**3/3 + 146*h**2. Solve i(z) = 0.
-2, -1
Let m(v) be the first derivative of -v**6 + 22*v**5/15 + 25*v**4/6 - 34*v**3/3 + 28*v**2/3 - 8*v/3 - 145. Determine t so that m(t) = 0.
-2, 2/9, 1
Let l(a) = 23*a + 325. Let i be l(-14). Let t(p) be the third derivative of 0*p**5 + 0*p - 2*p**2 + 1/36*p**4 + 0 - 1/180*p**6 + 0*p**i. Factor t(y).
-2*y*(y - 1)*(y + 1)/3
Let h(d) be the second derivative of -d**9/30240 - d**8/6720 + d**7/5040 + d**6/720 - 19*d**4/12 + 15*d. Let c(b) be the third derivative of h(b). Factor c(y).
-y*(y - 1)*(y + 1)*(y + 2)/2
Let o(n) = 6*n**3 + 28*n**2 + 58*n + 31. Let h(a) = -5*a**3 - 28*a**2 - 57*a - 30. Let l(g) = 5*h(g) + 4*o(g). Determine c so that l(c) = 0.
-26, -1
Let y be (-10)/(-3) - (-7)/42*-8. Let c(o) be the first derivative of 2/7*o**3 - 3/35*o**5 + 1/14*o**6 + 3/14*o**y - 3/14*o**4 - 3/7*o + 1. Factor c(w).
3*(w - 1)**3*(w + 1)**2/7
Let l = 125 - 122. Let r(o) be the second derivative of 3/4*o**5 + 0*o**2 + 1/2*o**l + 1/5*o**6 + o**4 - o + 0. Factor r(u).
3*u*(u + 1)**2*(2*u + 1)
Let n be (-10)/(-4)*(-3)/((-15)/4). Let -10*g**4 + 0*g**5 - 15 - 2*g**5 - 3 - 5*g**3 + 28*g**n + 6*g + g**3 = 0. Calculate g.
-3, -1, 1
Let d(k) be the first derivative of -k**4 - 3 + 2*k - 2/3*k**3 + 2*k**2. Suppose d(w) = 0. What is w?
-1, -1/2, 1
Let u(f) = -18*f**2 - 4*f - 4. Let j(g) = -2*g**3 + 54*g**2 + 10*g + 11. Let z(k) = 4*j(k) + 11*u(k). Factor z(o).
-2*o*(o - 2)*(4*o - 1)
Let z(u) = u**3 - 15*u**2 - 17*u + 19. Let k be z(16). Factor -13*f**k + f - 7*f**5 + 4*f**5 + 3*f**2 - 7*f**4 + f + 10*f**3.
-f*(f + 1)**3*(3*f - 2)
Solve 213*i**2 + 5*i**3 + 51005*i + 403*i**2 + 394*i**2 = 0.
-101, 0
Let o(m) be the second derivative of -m**4/12 + 25*m**3/6 + 13*m**2 - 11*m - 1. Factor o(w).
-(w - 26)*(w + 1)
Let h(y) be the first derivative of y**5/45 - y**4/36 - 2*y**3/9 + 2*y**2/9 + 8*y/9 - 25. Factor h(w).
(w - 2)**2*(w + 1)*(w + 2)/9
Suppose 121*j + 282*j = 77*j + 1304. Factor -4/3*f + 1/3*f**3 - 1/3*f**j + 0 + 4/3*f**2.
-f*(f - 2)*(f - 1)*(f + 2)/3
Let i = -66 + 52. Let s be 4/(1 - (1 + i)). Factor 0 - 2/7*q**4 + 2/7*q**2 - 2/7*q**3 + s*q.
-2*q*(q - 1)*(q + 1)**2/7
Factor -2*u**3 + 3*u**4 - u**4 + 114*u**2 - 225*u**2 + 109*u**2 + 2*u.
2*u*(u - 1)**2*(u + 1)
Let h(j) be the second derivative of j**6/35 - 9*j**5/35 + 11*j**4/14 - 6*j**3/7 + 246*j. Factor h(m).
6*m*(m - 3)*(m - 2)*(m - 1)/7
Suppose 0 = -5*g - 0*g + 50. Factor -3*z + 3*z**3 + 11 - 5*z**2 - 3 + 1 - g*z**2 + 6*z**4.
3*(z - 1)**2*(z + 1)*(2*z + 3)
What is x in 12*x + 6*x - 8*x**2 - 12*x + 3*x**3 - x**2 = 0?
0, 1, 2
Let s = 44 + -39. Let -2 - s*i**2 + 7 + 0 = 0. What is i?
-1, 1
Find r, given that 12*r**3 + 82*r + 20 - 21*r - 68*r**2 - 25*r = 0.
-1/3, 1, 5
Let m(p) be the third derivative of p**7/840 + 3*p**6/160 + 23*p**5/240 + 5*p**4/32 - 344*p**2. Factor m(v).
v*(v + 1)*(v + 3)*(v + 5)/4
Let x(q) be the second derivative of 17*q**7/84 + 3*q**6/5 - 23*q**5/8 - 59*q**4/4 - 61*q**3/3 - 6*q**2 - 258*q. Determine f, given that x(f) = 0.
-2, -1, -2/17, 3
Let q(j) be the second derivative of 5/4*j**3 - 2*j + 3/4*j**2 + 7/8*j**4 + 0 + 9/40*j**5. Factor q(s).
3*(s + 1)**2*(3*s + 1)/2
Let c(f) = -f**2 - 13*f - 27. Let n be c(-10). Let w be 2 + (0 + -2)/1. Factor 0*a + 4*a + 2*a**3 + 4*a**2 + w*a**n - 10*a**2.
2*a*(a - 2)*(a - 1)
Factor 4/11*y**2 - 26/11*y + 20/11 + 2/11*y**3.
2*(y - 2)*(y - 1)*(y + 5)/11
Let u(l) = -30*l**4 - 33*l**3 + 351*l**2 - 294*l. Let k(f) = f**5 + 61*f**4 + 64*f**3 - 704*f**2 + 588*f. Let n(j) = 3*k(j) + 5*u(j). Let n(p) = 0. Calculate p.
-7, 0, 1, 2
Let t(u) be the third derivative of 0 + 0*u - 1/30*u**5 - 1/3*u**3 - 1/6*u**4 - 10*u**2. Factor t(h).
-2*(h + 1)**2
Let g(x) = x**3 + 11*x**2 - 13*x + 13. Let u be g(-10). Let c be (u/7 - -1) + 2*-1. Factor c*p**2 - 120/7*p - 120/7*p**3 + 18/7 + 18/7*p**4.
2*(p - 3)**2*(3*p - 1)**2/7
Factor -1/2*t**3 + 15/2 + 13/2*t**2 + 29/2*t.
-(t - 15)*(t + 1)**2/2
Let v = 253 - 249. Let o(b) be the third derivative of 0 - 1/30*b**5 - 3*b**2 + 0*b**3 - 1/12*b**v + 0*b. What is k in o(k) = 0?
-1, 0
Let r(n) be the third derivative of 2*n**7/105 + 7*n**6/30 + 8*n**5/15 - 8*n**4/3 - 31*n**2. Determine z so that r(z) = 0.
-4, 0, 1
Let k(o) be the first derivative of -3*o**4/28 + 48*o**3/7 - 279*o**2/14 + 138*o/7 - 224. Factor k(x).
-3*(x - 46)*(x - 1)**2/7
Let a(s) be the second derivative of -s**6/10 + 3*s**4/2 - 4*s**3 + 9*s**2/2 + 17*s. Find l, given that a(l) = 0.
-3, 1
Let y(r) = r**3 - 4*r**2 + 2. Let x be y(4). Let p = -139/3 + 47. Factor 2/3*w**4 + p*w**x + 2*w**3 - 4/3 - 2*w.
2*(w - 1)*(w + 1)**2*(w + 2)/3
Find p, given that -58*p - 84*p - 85*p - 120*p**2 + 112*p - 5*p**3 = 0.
-23, -1, 0
Let h(t) = -12*t**4 + 12*t**3 + 6*t**2 - 18*t + 3. Let p(u) = -35*u**4 + 37*u**3 + 17*u**2 - 53*u + 10. Let q(y) = 8*h(y) - 3*p(y). Solve q(k) = 0.
-1, 2/3, 1
Let o(j) be the third derivative of j**6/40 - 3*j**5/20 + 2*j**3 - 5*j**2 - 2. Factor o(d).
3*(d - 2)**2*(d + 1)
Let p(j) be the second derivative of j**7/21 - 2*j**6/3 + 4*j**5 - 40*j**4/3 + 80*j**3/3 - 32*j**2 + 2*j + 5. Find h such that p(h) = 0.
2
Let x(m) be the second derivative of m**6/30 + 3*m**5/4 - m**4/12 - 5*m**3/2 - 596*m. Determine i, given that x(i) = 0.
-15, -1, 0, 1
Let p(g) = -7*g**3 - 9*g**2 + 315*g - 967. Let d(y) = 13*y**3 + 18*y**2 - 630*y + 1936. Let b(k) = -4*d(k) - 7*p(k). Solve b(i) = 0 for i.
-13, 5
What is h in 23*h - 48 + 1/2*h**2 = 0?
-48, 2
Let p be ((-8)/20)/(1/(-20)). Let b(k) = k**2 - 7*k - 6. Let d be b(p). Determine u so that -4 + 20*u**3 + 28*u - d*u**4 + 13*u**2 - 4 - 2*u**4 - 49*u**2 = 0.
1, 2
Let v(t) = t + 20. Let r be v(3). Solve 4*h**4 - 10 + 60*h**2 + r - 13 + 100*h - 36*h**3 = 0 for h.
-1, 0, 5
Suppose 0 = 2*n - 87 + 33. Suppose -n = -6*s - 9. What is l in 4/7*l**4 + 4/7*l**s - 2/7*l**5 - 8/7*l**2 + 4/7 - 2/7*l = 0?
-1, 1, 2
Let l(d) be the first derivative of d**4/14 - 110*d**3/21 - 51*d**2 - 1098*d/7 - 111. Suppose l(f) = 0. Calculate f.
-3, 61
Let z(a) be the first derivative of -a**8/336 - a**7/56 - a**6/36 + a**3 - 2*a**2 - 29. Let s(y) be the third derivative of z(y). Factor s(l).
-5*l**2*(l + 1)*(l + 2)
Let i = 34 + -58. Let g be -1*26/i + 3/(-9). Suppose 0*w**4 - g*w + w**3 - 1/4*w**5 + 1/2*w**2 - 1/2 = 0. Calculate w.
-1, 1, 2
Factor -4080 - 2*a**3 - 3520*a + 172*a**2 - 1209 - 2455.
-2*(a - 44)**2*(a + 2)
Let i(t) be the second derivative of t**7/504 + t**6/36 + t**4/2 + 6*t. Let z(d) be the third derivative of i(d). Solve z(s) = 0.
-4, 0
Let p(i) be the third derivative of -i**5/3 + 85*i**4/8 + 65*i**3/6 - 18*i**2 + 1. Factor p(g).
-5*(g - 13)*(4*g + 1)
Let c(o) be the first derivative of 0*o**2 + 0*o - 2/9*o**3 - 1/4*o**4 - 1/15*o**5 + 5. Let c(h) = 0. What is h?
-2, -1, 0
Suppose -4*k - 22/5 + 2/5*k**2 = 0. What is k?
-1, 11
Let l(d) be the second derivative of -5*d**7/14 + 9*d**6/5 + 39*d**5/20 - 9*d**4/2 - 4*d**3 - 180*d. Determine z, given that l(z) = 0.
-1, -2/5, 0, 1, 4
Let u = -64 + 82. Let h be ((-10)/(-25))/(u/20). Determine o so that 0*o + h*o**2 - 2/9*o**3 + 0 = 0.
0, 2
Determine x so that 99*x**2 + 97*x**2 - 84*x**2 + 140*x**3 + 44*x**4 + 16*x = 0.
-2, -1, -2/11, 0
Let f be (-258)/(-24) - ((-2)/4)/1. Let m = -11 + f. Factor -m*o**4 - 2*o**2 + 0 + 5/4*o**3 + o.
-o*(o - 2)**2*(o - 1)/4
Let l(c) be the first derivative of -4*c**6/15 - 14*c**5/25 + 9*c**4/10 + 58*c**3/15 + 23*c**2/5 + 12*c/5 + 138. Find i, given that l(i) = 0.
-1, -3/4, 2
Let u(q) be the second derivative of -2/15*q**5 + 0 + 4*q + 0*q**3 - 1/12*q**4 - 3/2*q**2. Let z(v) be the first derivative of u(v). Factor z(l).
-2*l*(4*l + 1)
Let z(d) be the second derivative of -d**4/12 - 13*d**3/2 - 54*d**2 - 286*d - 2. Let z(t) = 0. What is t?
-36, -3
Let s(a) = 13*a**3 - 21*a**2 + 42*a - 76. Let n be s(2). Find u, given 