rivative of -z**6/35 - 59*z**5/140 - 69*z**4/56 - 9*z**3/7 + 7717*z**2. Factor h(i).
-3*(i + 1)*(i + 6)*(8*i + 3)/7
What is q in -83*q**3 - 59*q**4 + 54*q**4 - 279*q**2 + 14*q**2 - 200*q + 13*q**3 = 0?
-8, -5, -1, 0
Let b(u) be the first derivative of -u**3 - 228*u**2 - 426*u - 164. Let f(n) = -n**2 - 114*n - 107. Let s(i) = 2*b(i) - 9*f(i). Suppose s(v) = 0. What is v?
-37, -1
Let v be (-23439)/130*5/(-2532). Let p = v + 4/211. Factor -p*h**3 - 3/4*h + 0 - 9/8*h**2.
-3*h*(h + 1)*(h + 2)/8
Suppose -95136 + 47567 - 12*b**3 - 3459*b**2 + 47569 - 864*b = 0. Calculate b.
-288, -1/4, 0
Let o(a) be the third derivative of -a**6/40 - 8*a**5/5 - 89*a**4/8 - 29*a**3 - 8*a**2 - 70. Factor o(r).
-3*(r + 1)*(r + 2)*(r + 29)
Let n(q) be the first derivative of -q**4/4 - 5*q**3/3 - q**2 + 8*q - 1174. Determine l, given that n(l) = 0.
-4, -2, 1
Let b(n) = 42*n**2 + n. Let c = -17 + 16. Let t be b(c). Factor -11*j**2 + j**2 - 25*j**3 - t*j**4 + 21*j**4 - 5*j**5.
-5*j**2*(j + 1)**2*(j + 2)
Let n(l) = l**3 - 2*l**2 + 150*l - 456. Let a be n(3). Let x(u) be the first derivative of -3/8*u**4 + 0*u - 1/2*u**a + 0*u**2 - 18. Factor x(f).
-3*f**2*(f + 1)/2
Let h = -61985 + 619857/10. Let o = -22 + 24. Suppose 9/10*d**o - 2/5 - h*d**3 + 6/5*d = 0. What is d?
-1, 2/7, 2
Let g(f) be the third derivative of -f**6/180 + 14*f**5/45 + 37*f**4/3 + 160*f**3 + 3*f**2 - 86*f + 1. What is c in g(c) = 0?
-6, 40
Let a = 153428 + -153425. Factor 0 - 96/7*h**2 - 576/7*h - 4/7*h**a.
-4*h*(h + 12)**2/7
Determine w, given that 5/6*w**4 + 0 + 45/2*w**2 - 15*w - 25/3*w**3 = 0.
0, 1, 3, 6
Let c(s) = -177*s - 2473. Let u be c(-14). Let k(p) be the first derivative of 0*p**3 + 0*p**4 + 0*p**2 - u + 2/55*p**5 + 0*p. Factor k(r).
2*r**4/11
Let d(y) = 3*y**2 + 6*y - 28. Let f(s) = -8 - 4 + 20 - 7. Suppose -u + 8 = -2*m - m, 5*m - 5 = -2*u. Let a(j) = m*d(j) - 4*f(j). Factor a(p).
-3*(p - 2)*(p + 4)
Let z be 4 + -3 + (1 - -5). Let m be z + -5 + 3/2*2. Solve 25*u**2 + 11 + 20*u + 12 + m*u**3 - 23 = 0.
-4, -1, 0
Let l(h) = -2*h**3 - 88*h**2 + 47*h + 5782. Let b be l(-43). Let 0 - 162/7*v - 3/7*v**5 - 59/7*v**4 - 335/7*v**3 - b*v**2 = 0. Calculate v.
-9, -1, -2/3, 0
Determine r so that -14*r**3 - 16052*r + 12*r**4 + 5 - 102*r**2 + 16421*r + 373 - 52*r**3 - 18*r**3 + 3*r**5 = 0.
-7, -2, -1, 3
Let l = 27261/140 + -1362/7. Let g(j) be the second derivative of -l*j**5 - 9*j + 0*j**3 + 0*j**2 + 0 - 1/30*j**6 + 1/3*j**4. Factor g(u).
-u**2*(u - 1)*(u + 4)
Suppose -2*a + 13 = 5*y - 2*y, 0 = -5*y - 2*a + 19. Let l = -578 - -605. Solve -2 + l*w**3 - 2*w - 22*w**y - 3*w + 9*w**2 + 4*w**4 - 11*w**4 = 0 for w.
-1, -2/7, 1
Let p(m) be the third derivative of 0 + 1/84*m**8 - 2/105*m**7 + 2*m - 1/10*m**6 - 10*m**2 + 1/15*m**5 + 1/3*m**4 + 0*m**3. Factor p(f).
4*f*(f - 2)*(f - 1)*(f + 1)**2
Suppose -13*m - 66 = -46*m. What is a in 0*a + 1/3*a**5 + 0 - 1/3*a**3 - 2/3*a**m + 2/3*a**4 = 0?
-2, -1, 0, 1
Let 20/11*m**3 - 20/11*m**4 - 2*m + 160/11*m**2 - 140/11 + 2/11*m**5 = 0. Calculate m.
-2, -1, 1, 5, 7
Suppose -43 = -3*l - c, l + 28 = 5*c + 21. Determine r, given that -17*r**2 + 6*r**2 + 71*r**3 + 18*r**5 - l*r**3 - 6*r - 59*r**4 = 0.
-2/9, 0, 1, 3/2
Let i(n) = 386*n - 4211. Let f be i(11). Suppose -f*c**3 - 115/3*c + 215/3*c**2 + 5/3 = 0. What is c?
1/21, 1
Let y(v) be the third derivative of -v**6/420 - 628*v**5/35 - 295788*v**4/7 + 5634*v**2. Factor y(a).
-2*a*(a + 1884)**2/7
Let o(p) = p**4 + p**3 - p**2 - 3*p + 4. Let u(x) = 5*x**4 + 4*x**3 - 3*x**2 - 15*x + 20. Let i(m) = 55*o(m) - 10*u(m). Find r such that i(r) = 0.
-4, -1, 1
Let y = 351984 - 351984. Factor -2/9*n**2 + 0*n + y.
-2*n**2/9
Let y(n) be the first derivative of 60*n + 3*n**5 - 25/3*n**3 - 43 - 25/2*n**4 + 50*n**2. Let y(z) = 0. What is z?
-1, -2/3, 2, 3
Suppose -15 = -4*o + x, -40*o + 41*o - 2*x - 2 = 0. Suppose -4/3*u**5 - 4*u**2 + 0 + 0*u - 28/3*u**3 - 20/3*u**o = 0. Calculate u.
-3, -1, 0
Let v(s) = 76*s + 8. Let r be v(0). Let o be 12/r + (-23)/(-230). Factor 7/5*k - o + 1/5*k**2.
(k - 1)*(k + 8)/5
Let f(l) be the second derivative of -l**5/70 - 29*l**4/42 - 100*l**3/21 + 1303*l. Suppose f(g) = 0. What is g?
-25, -4, 0
Let p = -3995082 - -395517424/99. Let z = -362/9 + p. Factor -16/11 - 40/11*r - 2/11*r**4 - 14/11*r**3 - z*r**2.
-2*(r + 1)*(r + 2)**3/11
Let f be (-62 + (-26158)/(-369))/(20/72). What is x in 10*x**2 - 128/3 - 2/3*x**3 - f*x = 0?
-1, 8
Let n be (56/3)/(6/(-72)*-8). Let z(c) = -2*c**3 + c**2 + c. Let k(x) = -13*x**3 + 9*x**2 - 8*x. Let m(b) = n*z(b) - 4*k(b). Find j, given that m(j) = 0.
-5, 0, 3
Let w(o) be the third derivative of 0 + 0*o + 167*o**2 + 1/80*o**6 - 11/20*o**5 - 47/16*o**4 - 6*o**3. Factor w(b).
3*(b - 24)*(b + 1)**2/2
Suppose 8*w - 10 = 13*w. Let p(c) = -c**3 - 3*c**2 - 4*c - 2. Let x be p(w). Determine a so that 17*a**2 + 19*a**2 + 14*a**x - 47*a**2 - 3 = 0.
-1, 1
Factor 16/5*l - 32/5 + 14/5*l**2 + 2/5*l**3.
2*(l - 1)*(l + 4)**2/5
Let b = 389888 - 779775/2. Find f, given that -3/2 - b*f**3 - 1/2*f**2 + 5/2*f = 0.
-3, 1
Let s(a) = -17*a**2 + 2*a + 7. Let o be s(3). Let d be o/(-40) + (-6)/4. Solve 3/5*g**4 - 3/5*g + 6/5 + 3/5*g**3 - 9/5*g**d = 0.
-2, -1, 1
Let n(k) be the first derivative of -7*k**5/40 - 33*k**4/16 - 3*k**3 + 4*k**2 - 4897. Suppose n(w) = 0. Calculate w.
-8, -2, 0, 4/7
Let w be 5*(-3)/(-75)*465. Let b = w + -89. Factor -1/2*s**3 - 5/2*s**b + 0 + 0*s**2 + 0*s.
-s**3*(5*s + 1)/2
Let t = -439 - -428. Let f(n) = -13*n**5 + 4*n**4 - 4*n**2 + 2*n - 22. Let y(i) = -7*i**5 + 2*i**4 - 2*i**2 + i - 12. Let s(m) = t*y(m) + 6*f(m). Factor s(q).
-q*(q - 1)**3*(q + 1)
Let q(l) be the second derivative of 10*l + 0 - 2*l**2 - 11/6*l**4 + 4*l**3 - 21/10*l**5 - 49/120*l**6. Let q(m) = 0. Calculate m.
-2, 2/7
Let f(n) = 7*n**2 + 17*n + 42. Let d(k) = -5*k**2 - 20*k - 30. Let w(t) = 6*d(t) + 5*f(t). Factor w(y).
5*(y - 6)*(y - 1)
Suppose 3*h + 12 = 0, -445*p + 446*p = h + 7. Let q(f) be the first derivative of 2/5*f**5 - 3*f**4 + 8*f - 27 + 26/3*f**p - 12*f**2. Factor q(t).
2*(t - 2)**2*(t - 1)**2
Let z(q) be the first derivative of -24 + 7/2*q**2 + 5/4*q**4 - 1/5*q**5 - 2*q - 3*q**3. Suppose z(g) = 0. What is g?
1, 2
Let g(b) be the first derivative of -b**6/24 - b**5/6 + 15*b**4/8 + 15*b**3 + b**2/2 + 8*b - 204. Let x(r) be the second derivative of g(r). Solve x(u) = 0.
-3, -2, 3
Let k(l) = 12*l**2 + 32*l + 52. Let z(u) = -5*u**2 - 11*u - 18. Let d be 21/(-49) - ((-12)/(-21) + -4). Let g(q) = d*k(q) + 8*z(q). Suppose g(i) = 0. What is i?
-1, 3
Suppose 4*t + 160 = 168. Find s such that -5*s**3 + 3*s**3 - 5*s**3 - 10*s**2 - s**5 + 8*s + 9*s**t - 4 + 5*s**4 = 0.
-1, 1, 2
Suppose -3 - 7 = -5*b - 4*h, -h + 8 = 4*b. Suppose 12 - 202*z**2 + 16*z + 100*z**2 + 98*z**b - 6*z**3 - 2*z**3 = 0. What is z?
-1, 3/2
Solve 6965*s - 247 - 7115*s - 401 + s**2 + 2*s**2 = 0 for s.
-4, 54
Let x(l) be the second derivative of l**7/5460 + l**6/260 + l**5/52 + 7*l**4/156 - 209*l**3/6 - 8*l - 1. Let q(k) be the second derivative of x(k). Factor q(d).
2*(d + 1)**2*(d + 7)/13
Let f = 98 - 101. Let g(j) = -4*j**3 + 8*j**2 + 93*j + 3. Let i(s) = 4*s**3 - 8*s**2 - 94*s - 2. Let m(z) = f*i(z) - 2*g(z). Factor m(n).
-4*n*(n - 6)*(n + 4)
Factor -77*n**2 + 0 + 1/4*n**3 - 155*n.
n*(n - 310)*(n + 2)/4
Suppose -4*m + 3 = 4*s + 11, -5*s = 3*m. Suppose 2*c - 3 = 3*w, -c = w - s*c + 5. Factor -w + 1 - 4*x**4 - 16*x + 12*x**3 + 0*x**3.
-4*x*(x - 2)**2*(x + 1)
Let z(t) be the first derivative of 0*t - 1/6*t**3 - 1/2*t**2 + 92. Let z(y) = 0. What is y?
-2, 0
Suppose 0 = -n - 5*f - 30, n - 7142*f = -7146*f - 23. Factor w**2 - 1/2*w**4 - w - 1/4*w**n + 3/4*w**3 + 0.
-w*(w - 1)**2*(w + 2)**2/4
Let h(y) be the third derivative of -y**8/1008 + y**7/105 + y**6/24 - 11*y**5/45 - 7*y**4/6 - 707*y**2 - 2*y. Let h(l) = 0. Calculate l.
-2, 0, 3, 7
Let c be (-15 + 30 - 12)*7/3. Let h(w) be the second derivative of 0*w**2 + 0 - 2/3*w**3 - 7/15*w**6 + 3/10*w**5 + 1/2*w**4 + 1/7*w**c - w. Solve h(n) = 0.
-2/3, 0, 1
Let n = 2324 + -2324. Let m(a) be the third derivative of -5/24*a**4 + 0 + 15*a**2 + n*a - 1/12*a**5 + 5/3*a**3. Determine g, given that m(g) = 0.
-2, 1
Let h(d) be the first derivative of 5*d**4/4 + 98*d**3/3 - 145*d**2/2 + 42*d + 1724. Factor h(n).
(n - 1)*(n + 21)*(5*n - 2)
Let k(f) be the second derivative of f**4/3 - 3224*f**3/3 + 1299272*f**2 - 2*f