z.
-5, -2, 0, 2
Factor 0 - 2/3*g**2 - 2/15*g**3 + 0*g.
-2*g**2*(g + 5)/15
Factor -1022530 - 1537470 + 1205*a**3 - 5*a**4 - 82189*a**2 + 2656000*a - 15011*a**2.
-5*(a - 80)**3*(a - 1)
Let k(j) = -j**2 + 16*j - 14. Let b be k(14). Factor -4*g**3 + 2*g**4 - 2*g**3 - 6*g**2 + 12 + b*g + 0*g**4.
2*(g - 3)*(g - 2)*(g + 1)**2
Let n(d) be the second derivative of d**5/4 - 5*d**4/12 - 5*d**3/3 + 49*d. Determine s, given that n(s) = 0.
-1, 0, 2
Suppose 0 = 2*g + 2*k - 16, -5*g + 5*k = 4*k - 10. Suppose -2*t = g*z - 8, -4*z - z + t = -9. Determine n so that -11 + 4 + 3 - 2*n**z + 6*n = 0.
1, 2
Suppose 147 = 12*q + 37*q. Let d(b) be the first derivative of 0*b**2 - q + 2/17*b - 2/51*b**3. Suppose d(k) = 0. Calculate k.
-1, 1
Let v(c) be the second derivative of c**6/30 - c**5/10 - c**4/3 + c**3/3 + 3*c**2/2 + 2*c - 3. Factor v(l).
(l - 3)*(l - 1)*(l + 1)**2
Let y(b) = 3*b + 2. Suppose -3*i + 1 + 2 = 0. Let w be y(i). Suppose -w*g**2 - 2*g**2 + 4 - 3*g**2 + 11*g**2 - 4*g = 0. Calculate g.
2
Let i(q) be the first derivative of -q**5/15 + 8*q**4/3 - 128*q**3/3 - 3*q**2 - 7. Let u(k) be the second derivative of i(k). Let u(d) = 0. What is d?
8
Factor -4*d + 2/5*d**3 + 6/5*d**2 - 48/5.
2*(d - 3)*(d + 2)*(d + 4)/5
Let n(p) be the third derivative of -1/20*p**5 - 10*p**2 + 0*p**3 + 0*p + 0 - 1/8*p**4. Factor n(v).
-3*v*(v + 1)
Let o(h) be the first derivative of 0*h**2 - 24/35*h**5 + 9/14*h**4 + 0*h - 4/21*h**3 + 5/21*h**6 - 24. Suppose o(g) = 0. What is g?
0, 2/5, 1
Factor 1/3*n**2 + 36*n + 972.
(n + 54)**2/3
Let i(h) = 9*h**3 - 41*h**2 - 5. Let k(j) = j**2 - 5. Let d be k(0). Let s(v) = -4*v**3 + 20*v**2 + 2. Let g(a) = d*s(a) - 2*i(a). Factor g(f).
2*f**2*(f - 9)
Suppose 0*j + j + 12 = 0. Let p be 1 + j/8 - (-55)/70. Factor -p*t**2 - 2/7*t + 0.
-2*t*(t + 1)/7
Let l(q) be the first derivative of 3*q**5/25 - 3*q**4/4 + 7*q**3/5 - 9*q**2/10 - 40. Factor l(y).
3*y*(y - 3)*(y - 1)**2/5
Suppose -5*h + u = -77, -4*h + 35 = -3*u - 20. Let x be (4 + h/(-4))/(-1). Factor 4*t + 16/3*t**2 + x + 4/3*t**3.
4*t*(t + 1)*(t + 3)/3
Let a = 19 - 14. Let p(x) = -4*x**3 + 5*x**2 + 13*x - 1. Let k(o) = 5*o**3 - 5*o**2 - 14*o + 2. Let v(h) = a*k(h) + 6*p(h). Suppose v(y) = 0. What is y?
-2, -1
Let h be 2*(9/(-3))/(-3). Suppose y = -h*y + 12. Let -4*m**2 + 4*m + 2*m**4 - 18*m**3 + 20*m**3 - y*m = 0. What is m?
-2, 0, 1
Let m(p) be the second derivative of -p**6/360 - p**5/120 + 3*p**3 - 7*p. Let w(f) be the second derivative of m(f). Factor w(v).
-v*(v + 1)
Suppose -2*s = t + 8, s + 3 = -t - 0. Let m be (55/154)/(t/7). Find b, given that -m*b**2 - 3*b - 1 = 0.
-2, -2/5
Let k = 341177/24878 + 1/3554. Find z, given that -48/7*z - 24/7*z**4 - 3/7*z**5 + 0 - 72/7*z**3 - k*z**2 = 0.
-2, 0
Let q(y) be the third derivative of -y**5/300 + 101*y**4/120 + 61*y**2. Factor q(m).
-m*(m - 101)/5
Suppose 73 = -5*u + 723. Let b = 135 - u. Suppose 0*g + 0*g**4 + 2/5*g**b + 0*g**2 - 8/5*g**3 + 0 = 0. What is g?
-2, 0, 2
Let l(y) be the third derivative of y**5/390 - 35*y**4/78 + 1225*y**3/39 - 104*y**2. Factor l(h).
2*(h - 35)**2/13
Suppose 2*a - 2*t = 12, -5*a + 14 = -0*t + 3*t. Suppose 2 + 6 = a*b. What is f in 0*f - 3*f**b - 10*f**2 + 10*f**2 + 6*f = 0?
0, 2
Let a(z) = z**3 + 6*z**2 + 2*z + 12. Let b be a(-6). Let r(u) be the third derivative of -1/12*u**4 + b + 3*u**2 - 1/60*u**5 + 0*u + 0*u**3. Factor r(i).
-i*(i + 2)
Let -352/3 - 2/3*t**4 - 472/3*t - 38/3*t**3 - 72*t**2 = 0. Calculate t.
-11, -4, -2
Let q(y) = 5*y + 20 - 12 - 10 + 3*y**2 - 6. Let d(h) = h - 1. Let g(w) = 2*d(w) - q(w). Factor g(k).
-3*(k - 1)*(k + 2)
Let s(v) = 6*v**4 + 4*v**3 + 6*v**2 + 4. Let u(o) = 12*o**4 + 9*o**3 + 11*o**2 + 7. Let a(d) = -7*s(d) + 4*u(d). Suppose a(z) = 0. Calculate z.
-1, -1/3, 0
Let x(q) = 652*q + 3262. Let t be x(-5). Find j such that 0*j + 3/7*j**3 - 12/7 + 9/7*j**t = 0.
-2, 1
Let j(h) = -2*h**2 + h + 1. Let k(w) = 3*w**4 - 14*w**3 - 14*w**2 + 39*w + 18. Let c(p) = -18*j(p) + 2*k(p). Factor c(o).
2*(o - 3)**2*(o + 1)*(3*o + 1)
Let k be (-216)/396*22/(-45). Factor -2/5*w + k + 2/15*w**2.
2*(w - 2)*(w - 1)/15
Let o(i) be the third derivative of -i**7/945 - 2*i**6/135 - 2*i**5/27 - 4*i**4/27 - 7*i**2. Suppose o(v) = 0. What is v?
-4, -2, 0
Let k = 12785/29 + -441. Let m = 45/116 + k. Suppose -m*c**4 + c - c**3 - 3/4*c**2 + 1 = 0. What is c?
-2, -1, 1
Let f(d) be the first derivative of -7*d**2 - 54*d + 55. Let c be f(-4). Factor -1/3 - 2/3*x - 1/3*x**c.
-(x + 1)**2/3
Suppose 16*m + 2/11*m**2 + 352 = 0. What is m?
-44
Let i(j) be the first derivative of 3*j**5/5 + 21*j**4/4 - 8*j**3 - 25. Determine p, given that i(p) = 0.
-8, 0, 1
Let p = 2786 - 19490/7. Factor 8/7 + 4/7*t**2 + p*t.
4*(t + 1)*(t + 2)/7
Let v(b) be the first derivative of 3*b**5/5 + 93*b**4/2 + 1260*b**3 + 11907*b**2 - 27783*b - 45. Solve v(d) = 0 for d.
-21, 1
Let p(n) be the first derivative of -20*n**3 - 28*n**2 + 4*n - 372. Factor p(j).
-4*(j + 1)*(15*j - 1)
Let d(b) be the first derivative of b**4 + 11/3*b**3 - 25 + 1/10*b**5 + 6*b**2 + 9/2*b. What is y in d(y) = 0?
-3, -1
Let o = 320 + -315. Let u(c) be the third derivative of 7/30*c**5 - 4/3*c**3 + c**4 + o*c**2 + 0*c + 0. Suppose u(s) = 0. Calculate s.
-2, 2/7
Let t = 11 + -8. Suppose -2*p = 5*s - 27, t*s + 3*p - 13 = p. Factor s + n**2 + 5 - 11 - 2*n.
(n - 1)**2
Let z be 1/(2*3/(-60)*-5). Let s(n) be the third derivative of 1/10*n**5 + 0 + 0*n**4 - 4*n**z + 0*n**3 + 0*n - 1/40*n**6. Determine t, given that s(t) = 0.
0, 2
Suppose u + 8 = -4*h, u = -135*h + 137*h + 10. Determine x so that 0 - 4/17*x + 2/17*x**2 + 4/17*x**3 - 2/17*x**u = 0.
-1, 0, 1, 2
Suppose 22951*o**2 - 19*o + 108 + 4*o - 22954*o**2 = 0. What is o?
-9, 4
Let l(w) be the second derivative of w**6/60 + 71*w**5/40 + 1295*w**4/24 + 1225*w**3/12 + 55*w. Determine m so that l(m) = 0.
-35, -1, 0
Let m be 1*3 - (-8 + 6). Suppose u - 2*d = 4, 0 = -m*u + 2*d + 19 - 7. Factor 12 + 2*z - 9 - 7 + 2*z**u.
2*(z - 1)*(z + 2)
Factor -t**4 - 700*t**3 + t**5 + 697*t**3 - t**4.
t**3*(t - 3)*(t + 1)
Factor -287169 - 1441*o**2 - 792831 + 54000*o + 541*o**2 + 5*o**3.
5*(o - 60)**3
Let d(r) be the first derivative of -r**3/7 + 9*r**2/14 + 12*r/7 + 596. Let d(b) = 0. Calculate b.
-1, 4
Let v(d) be the first derivative of -29*d**4/10 + 62*d**3/15 + 56*d**2/5 - 8*d/5 - 165. Suppose v(p) = 0. Calculate p.
-1, 2/29, 2
Suppose -8/5*l + 2/5*l**2 + 6/5 = 0. Calculate l.
1, 3
Let d(s) be the second derivative of s**4/30 + s**3/5 - 2*s**2 + 121*s. Factor d(x).
2*(x - 2)*(x + 5)/5
Let q = 6672 + -26687/4. Factor -q*d**4 + 0 - 3/4*d**3 - 1/2*d**2 + 0*d.
-d**2*(d + 1)*(d + 2)/4
Factor -8/17*a**2 + 2/17*a**4 - 6/17*a**3 + 0 + 0*a.
2*a**2*(a - 4)*(a + 1)/17
Let q be 88/(-24)*108/(-198). Determine a, given that 4/5*a - 2/5*a**q + 6/5 = 0.
-1, 3
Let p(i) be the first derivative of i**3 + 123*i**2 - 249*i - 35. Solve p(l) = 0.
-83, 1
Let t(y) be the first derivative of 2*y**5/35 + y**4/14 - 8*y**3/21 - 4*y**2/7 - 116. Suppose t(q) = 0. What is q?
-2, -1, 0, 2
Let u be -2*((-28)/(-8) - 3). Let q be 18 - (u + 3 + 1). Factor -24*y**2 - 3*y - 27 - q*y + 21*y**2.
-3*(y + 3)**2
Let l(n) = -2*n**3 + 10*n**2 - 56*n - 43. Let g(j) = -4*j**3 + 16*j**2 - 84*j - 64. Let h(s) = 5*g(s) - 8*l(s). Factor h(i).
-4*(i - 3)*(i + 1)*(i + 2)
Let t be (0 - (1 - 1268/1260))*6. Let u(q) be the third derivative of -5/42*q**4 + 0*q + t*q**5 - 7*q**2 - 1/210*q**6 + 4/21*q**3 + 0. Factor u(a).
-4*(a - 2)*(a - 1)**2/7
Let f(a) = -32*a**2 - 36*a + 109. Let l(u) = -5*u**2 - 6*u + 18. Let z(i) = 6*f(i) - 39*l(i). Suppose z(r) = 0. What is r?
-8, 2
Let r(k) be the first derivative of -4*k**5/5 - 11*k**4 + 4*k**3 + 62*k**2 - 88*k - 230. Solve r(q) = 0.
-11, -2, 1
Let u be 0 - (8/(-2) + (10 - 10)). Factor -186*d**4 + 2 + 184*d**u + d - 5*d + 4*d**3.
-2*(d - 1)**3*(d + 1)
Let h be ((-14)/3)/(3*(466/54 + -9)). Find j, given that -21/5*j**3 + 6/5 - 6/5*j**2 + h*j = 0.
-1, -2/7, 1
Suppose -8*u = -22 - 10. Let a(n) be the first derivative of 4/21*n**3 + n**2 - 4 + 8/7*n - 1/14*n**u. Find s, given that a(s) = 0.
-1, 4
Factor -793 + 14*v + 793 + 3*v**2 + 31*v.
3*v*(v + 15)
Factor -14*r - 8*r**2 - 20/3 - 2/3*r**3.
-2*(r + 1)**2*(r + 10)/3
Let r = 2 - -1. Let f(x) = x**2 + 13*x - 25. Let q be f(-15). Factor -31*v**3 - v**5 + 15*v**r - 12*v**4 + q*v**5.
4*v**3*(v - 4)*(v + 1)
Let p be 2/(-7) + 