(i) - 3*u(i). Factor g(a).
3*(a - 1)*(5*a - 2)*(9*a + 1)
Let q(d) = 2*d**2 - 4*d + 2. Let h be q(2). Suppose -10 - h = -3*y. Solve -2*s**3 + s**4 - 6*s**4 + 3*s**y = 0.
-1, 0
Let t(w) be the first derivative of -4/5*w**5 - 32*w**3 - 3 - 64*w - 64*w**2 - 8*w**4. Solve t(m) = 0.
-2
Let i(z) = -z - 1. Let w be i(-2). Let h be -3 - (7 + 203/(-14)). Factor w - 11/2*g**3 - h*g + 15/2*g**2 + 3/2*g**4.
(g - 1)**3*(3*g - 2)/2
Let d(c) be the third derivative of -c**7/210 + 3*c**6/160 + 13*c**5/240 - 3*c**4/32 - 3*c**3/8 - 334*c**2. Let d(n) = 0. What is n?
-1, -3/4, 1, 3
Suppose o - 2 = 0, 2*j - 2*o = 7 - 11. Factor 2/7*d**5 + 4/7*d**4 + 0 - 4/7*d**2 - 2/7*d + j*d**3.
2*d*(d - 1)*(d + 1)**3/7
Let y(u) be the first derivative of -3*u**5/5 + 11*u**3 - 27*u**2 + 24*u + 12. Factor y(q).
-3*(q - 2)*(q - 1)**2*(q + 4)
Let g = 0 - -3. Let c be (8/(-16))/((-25)/40). Let 0*r + 2/5*r**g + c*r**2 + 0 = 0. Calculate r.
-2, 0
Let i = 27 - 25. Factor 4 - 28*s**3 + 4 - 20*s**i + 8*s - 8.
-4*s*(s + 1)*(7*s - 2)
Let l be 6/51 - (-83)/17. Suppose -4*u**l + 12*u**4 + 10*u**2 + 8*u**3 - 34*u**2 - 7 + 19 - 4*u = 0. Calculate u.
-1, 1, 3
Let w = 3/15961 + 574575/111727. Determine s, given that w*s**2 + 0 - 2/7*s**5 - 12*s**3 + 0*s + 25/7*s**4 = 0.
0, 1/2, 6
Let w(k) be the first derivative of -2*k**5/45 + 14*k**4/9 + 20*k**3/3 + 92*k**2/9 + 62*k/9 + 90. Factor w(c).
-2*(c - 31)*(c + 1)**3/9
Let t(x) = -10*x**2 - 35*x - 35. Let c(l) be the second derivative of -11*l**4/12 - 35*l**3/6 - 18*l**2 + 15*l. Let b(m) = 5*c(m) - 6*t(m). Factor b(z).
5*(z + 1)*(z + 6)
Let r be (10 - 6) + 9 + -1. Solve -r - 2*s**3 - 8*s + 28*s**2 - 3*s**3 - 3*s**3 = 0.
-1/2, 1, 3
Let r(q) be the first derivative of 3*q**5/5 + 3*q**4 + 4*q**3 - 97. Let r(u) = 0. Calculate u.
-2, 0
Let h(f) = 6*f**4 - 2*f**3 - f**2 + 2*f. Let s(t) = -t**4. Let d(q) = -2*h(q) - 10*s(q). Factor d(l).
-2*l*(l - 2)*(l - 1)*(l + 1)
Let s = 787/6 - 131. Let w(o) be the second derivative of 0 - s*o**4 + 7/15*o**3 + 4*o - 2/5*o**2. Factor w(d).
-2*(d - 1)*(5*d - 2)/5
Let m(y) be the second derivative of 5*y**7/42 - 2*y**6/3 + y**5/4 + 25*y**4/6 - 10*y**3/3 - 20*y**2 - 51*y. Find o, given that m(o) = 0.
-1, 2
Let s(q) be the first derivative of -q**3/4 - 3*q**2 - 45*q/4 - 108. Let s(r) = 0. What is r?
-5, -3
Let u be (-2 - 0)/(1*-5). Factor 1/5*a**2 - u + 1/5*a.
(a - 1)*(a + 2)/5
Suppose -2/11*t**3 + 16/11*t**2 + 12/11 - 26/11*t = 0. What is t?
1, 6
Let q(u) be the third derivative of 0*u**3 + 0*u**6 + 1/24*u**4 + 1/420*u**7 + 7*u**2 + 0*u - 1/40*u**5 + 0. Factor q(j).
j*(j - 1)**2*(j + 2)/2
Let n be (-5)/50*-16 + (198/55)/9. Factor -15/4*z - 3/4*z**n - 3.
-3*(z + 1)*(z + 4)/4
Suppose -14/3*b + 0 + 2/3*b**2 = 0. Calculate b.
0, 7
Suppose 21*b = 29*b + 16. Let c be (b/14)/(1/(-1)). Factor 2/7*q - c - 1/7*q**2.
-(q - 1)**2/7
Let k(l) = 4*l - 16. Let h(t) = -11*t + 48. Let y(o) = 6*h(o) + 17*k(o). Let m be y(-7). Factor -2*d + 4*d**2 - 48 - 22*d - 7*d**m.
-3*(d + 4)**2
Let w be (-40)/(-15)*675/18. Suppose w = -6*r + 118. Factor -6/11*a**r - 2/11*a + 0 + 2/11*a**4 + 6/11*a**2.
2*a*(a - 1)**3/11
Let x(c) be the second derivative of -c**7/21 - 2*c**6/5 - c**5 + 11*c**3/3 + 6*c**2 - 81*c. Find z such that x(z) = 0.
-3, -2, -1, 1
Factor 0 + 48/7*w**3 + 3*w**4 + 6/7*w + 33/7*w**2.
3*w*(w + 1)**2*(7*w + 2)/7
Suppose 4*p = 0, 3*p = -b + 5*b - 432. Let c = -195/2 + b. Factor -9/2 - 3/2*j**3 - c*j - 15/2*j**2.
-3*(j + 1)**2*(j + 3)/2
Let f be (6/32)/(-13 + (-16 - (-819)/28)). Factor 15/4*s + 3*s**2 + 3/2 + f*s**3.
3*(s + 1)**2*(s + 2)/4
Let d be ((136/(-102))/((-30)/(-9)))/(3/(-125)). Find p such that 10/3*p - d - 1/6*p**2 = 0.
10
Let j be 4 - -93*1/(-24). Let h(m) be the second derivative of 5*m - j*m**4 + 0 + 1/4*m**3 + 0*m**2. Factor h(c).
-3*c*(c - 1)/2
Let f(o) be the first derivative of -4*o**5/15 + 7*o**4/6 + 4*o**3/3 + 7*o**2/2 - 4. Let d(j) be the second derivative of f(j). Determine b so that d(b) = 0.
-1/4, 2
Let x(h) be the second derivative of 3*h**5/160 + 9*h**4/32 - 21*h**3/16 + 33*h**2/16 - 251*h. Suppose x(t) = 0. Calculate t.
-11, 1
Suppose -2*n - 2*g = 350, 524 = -3*n - 3*g - g. Let i = -699/4 - n. Solve m**3 - 1/4*m**4 - i*m**2 + 1/2*m + 0 = 0.
0, 1, 2
Suppose 0*w**4 + 2*w**5 - 4*w**4 - 2*w**3 + 7*w**2 - 4*w**4 + w**2 = 0. What is w?
-1, 0, 1, 4
Let g(b) be the first derivative of -1 - 4/3*b**2 + 2/3*b**4 - 2/15*b**5 - 4/9*b**3 + 2*b. Solve g(c) = 0.
-1, 1, 3
Let d(k) be the first derivative of 0*k**3 + 0*k + 5/2*k**2 + 23 + 0*k**5 - 5/2*k**4 + 5/6*k**6. Factor d(n).
5*n*(n - 1)**2*(n + 1)**2
Let b(f) = -3*f**3 + 20*f**2 + 11*f - 4. Let n(r) = -12*r**3 + 78*r**2 + 45*r - 15. Let o(c) = 15*b(c) - 4*n(c). Determine p, given that o(p) = 0.
-1, 0, 5
Suppose -54 = -14*w + 23*w. Let z(l) = -10*l**3 - l**4 - l + 2*l**4 - 15*l**2 - 6 + 25*l**3. Let i(y) = -y**4 + y + 1. Let n(m) = w*i(m) - z(m). Factor n(h).
5*h*(h - 1)**3
Let o be 4 - ((-52)/(-8))/13. Let c(s) be the first derivative of -2 + 8/3*s**3 + 2*s + 3/4*s**4 + o*s**2. Let c(a) = 0. What is a?
-1, -2/3
Let z(o) = o + 17. Let d be z(-15). Determine f so that f + 2 - 2*f**2 - 3*f + 7*f**3 + 0*f**d - 5*f**3 = 0.
-1, 1
Let c(u) be the first derivative of 0*u - 1/18*u**5 - 1 - 1/3*u**4 + 1/2*u**2 - 4/9*u**3. Let y(b) be the second derivative of c(b). Factor y(m).
-2*(m + 2)*(5*m + 2)/3
Suppose 2*r - 5*r - x + 344 = 0, -4*r + 457 = 3*x. Let j = r + -91. What is q in -1/2*q**3 - 32 - 6*q**2 - j*q = 0?
-4
Let w be ((-14)/(-91))/((-2484)/312 + 8). Let -8/7*q**2 + 0*q + 18/7*q**3 - 12/7*q**w + 0 + 2/7*q**5 = 0. Calculate q.
0, 1, 4
Let p be (0 - 0)/(211 + -206). Let c(l) be the first derivative of -13 + 0*l**4 + 0*l - 1/7*l**3 + 3/5*l**5 + p*l**2 - 3/7*l**6. Solve c(i) = 0.
-1/3, 0, 1/2, 1
Let d be (((-64)/(-18))/2)/(434/21 + -20). Factor d*r + 2/3*r**3 + 0 - 8/3*r**2.
2*r*(r - 2)**2/3
Suppose -2*j - 23 = -29. Factor -1 + 9*l - j*l**2 + 3 + 0 + 10.
-3*(l - 4)*(l + 1)
Let g(q) be the second derivative of -2*q**6/75 + 9*q**5/25 - q**4 - 10*q**3/3 - 2*q + 3. Factor g(s).
-4*s*(s - 5)**2*(s + 1)/5
Suppose -3*z + z = -8, -4 = -2*g + z. Suppose 19 + 10*f + 6*f - g*f**2 - 19 = 0. What is f?
0, 4
Let m(j) be the second derivative of -j**6/6 + 5*j**4/12 - 2*j + 1. Let m(n) = 0. Calculate n.
-1, 0, 1
Let y(k) = 5*k**4 + 25*k**3 - 50*k**2 - 40*k + 45. Let m(g) = -2*g**4 - 12*g**3 + 25*g**2 + 21*g - 23. Let w(c) = 5*m(c) + 3*y(c). Find i, given that w(i) = 0.
-4, -1, 1
Let j(a) = 2*a**2 - 3*a + 3. Let t be j(5). Factor 63*i**3 - 30*i**3 - 10*i**2 - 5*i - t*i**3.
-5*i*(i + 1)**2
Let q(f) be the second derivative of f**5/20 - f**4/6 - 33*f - 2. Find i, given that q(i) = 0.
0, 2
Let u = 1092/55 + -3166/165. Suppose 2/3*l**2 + 4/3*l + u = 0. What is l?
-1
Suppose 0 = 2*h - 4 - 4. Let v be ((-72)/(-35) - 2)/((-2)/(-10)). Determine u, given that 0*u - 4/7*u**3 - v*u**h - 2/7*u**2 + 0 = 0.
-1, 0
Suppose -3*m + o = -7*m - 13, 0 = 5*m + 4*o + 30. Let j be m*(-2)/8*6. Solve 9/2*p + 3/2 - 3/2*p**5 + j*p**2 - 3*p**3 - 9/2*p**4 = 0 for p.
-1, 1
Let m = -4156/3 - -1397. Let q = m - 61/6. Solve -q + 3*r**2 + 0*r - 3/2*r**4 + 0*r**3 = 0 for r.
-1, 1
Let r = -48367 + 48371. Factor -288/5 + 16/5*t**3 - 2/5*t**r + 16/5*t**2 - 192/5*t.
-2*(t - 6)**2*(t + 2)**2/5
Suppose 3*y = h + 4, h = -2*h - 2*y + 10. Factor -3*i + 3*i - 2 - 4*i + i**h + 3*i.
(i - 2)*(i + 1)
Let o(p) be the second derivative of -1/12*p**4 + 0 - 25*p - 2/3*p**3 + 0*p**2. Let o(i) = 0. Calculate i.
-4, 0
What is r in -2825/4*r**3 + 4505/2*r**2 + 55*r**4 - 5/4*r**5 - 2600*r + 1000 = 0?
1, 2, 20
Let s(v) be the second derivative of -1/70*v**5 - 1/6*v**4 + 0 - 5/7*v**3 - 9/7*v**2 - 10*v. Find c, given that s(c) = 0.
-3, -1
Suppose 3*q = -14 + 35. Factor -6*y**2 - 20 + q - 8*y + 10 + 11.
-2*(y + 2)*(3*y - 2)
Factor 2*m**2 - 635 + 36*m + m**2 + 596.
3*(m - 1)*(m + 13)
Let c(z) be the first derivative of 2*z**3/33 + 23*z**2/11 + 84*z/11 + 566. Factor c(x).
2*(x + 2)*(x + 21)/11
Suppose 0 = g + 155 - 159. Let p(x) be the first derivative of 15/4*x**2 + 25/4*x**3 - g + 3/4*x. Solve p(t) = 0 for t.
-1/5
Let d(g) be the first derivative of -1/11*g**4 + 0*g**5 + 1/33*g**6 + 0*g + 19 + 0*g**3 + 1/11*g**2. Solve d(j) = 0.
-1, 0, 1
Let x = -42016/187 + 3832/17. Find n, given that -x*n - 9/11 + 1/11*n**2 = 0.
-1, 9
Let l(y) be the third derivative of -4/1