) be the third derivative of g(z). Factor d(o).
-o*(o - 3)*(o + 1)/4
Let r = 90 - 448/5. Let h be 8/(-12)*6/(-5). Suppose -h*q**3 + r*q**2 + 0 + 0*q + 2/5*q**4 = 0. Calculate q.
0, 1
Suppose 0 = -12*j + 181 - 133. Factor 0 - 1/3*k**5 - 4/3*k + 2*k**j + 4*k**2 - 13/3*k**3.
-k*(k - 2)**2*(k - 1)**2/3
Suppose 20*u = 41*u - 63. Let v(k) = k**2 + 4*k + 1. Let c be v(-5). Factor -5*f**3 + 8*f**3 - c*f + u*f.
3*f*(f - 1)*(f + 1)
Find n, given that -22 - 24 + n**2 + 3*n + 48 = 0.
-2, -1
Suppose -18 = -5*z + a, -z + 4*a - 8 + 23 = 0. Let x(i) = i**2 - i - 4. Let w be x(3). Solve -12*h**w + 3*h + 3*h**z + 30*h**2 - 12*h**2 = 0 for h.
-1, 0
Let v be ((-5)/40)/((-10)/160). Factor 4/3*x**3 + 0*x**v - 4*x + 8/3.
4*(x - 1)**2*(x + 2)/3
Let l be (-2 + 2)/(1/(-1)). Let d be -6*((-60)/(-135))/(18/(-3)). Find i such that d*i**2 + l + 0*i**3 - 4/9*i**4 - 2/9*i**5 + 2/9*i = 0.
-1, 0, 1
Let p be (10/((-330)/77))/(1 + (-10)/4). Factor -p*r - 4/9 - 4/9*r**2 + 2/3*r**3.
2*(r - 2)*(r + 1)*(3*r + 1)/9
Let m(w) be the first derivative of w**6/90 + w**5/6 + 2*w**4/3 - 14*w**3 - 8. Let l(d) be the third derivative of m(d). Suppose l(k) = 0. What is k?
-4, -1
Let p(q) be the first derivative of 1/4*q**2 + 1 + 0*q + 1/12*q**3. Factor p(c).
c*(c + 2)/4
Suppose 3*q - 8 = -q. Let -4*p**q - 3*p - 8*p + 3*p - 4 = 0. What is p?
-1
Let d(h) = 2*h**5 + 4*h**4 - 12*h**3 - 10*h**2 + 10*h. Let g(q) = -q**4 + q**2 + 1. Let z(p) = d(p) + 6*g(p). Suppose z(s) = 0. Calculate s.
-1, 1, 3
Let p be (-6)/3 - -28 - 1. Suppose -7*r**2 + 2*r**2 + 8*r + p*r**3 - 7*r**2 - 21*r**3 = 0. What is r?
0, 1, 2
Let x(z) be the third derivative of -6*z**2 + 5/36*z**4 + 0 + 0*z - 4/9*z**3 - 1/90*z**5. Factor x(g).
-2*(g - 4)*(g - 1)/3
Let j(c) be the first derivative of c**4 - 4*c**3/3 + 65. Solve j(u) = 0 for u.
0, 1
Let z = 171 - 171. Let k(f) be the third derivative of 1/10*f**6 + 0 + 2/15*f**5 + 0*f + 2/105*f**7 + 0*f**4 + z*f**3 + 4*f**2. Factor k(h).
4*h**2*(h + 1)*(h + 2)
Let u be 5/(-4) + (-5)/(5/(-2)). Let r = 3/4 + u. Factor r*j**2 - 5/2*j + 1.
(j - 1)*(3*j - 2)/2
Let q(m) be the second derivative of m**6/6 + 3*m**5/4 - 10*m**3/3 - 124*m. Suppose q(l) = 0. Calculate l.
-2, 0, 1
Let r(n) be the first derivative of -2*n**3/57 + 45*n**2/19 + 92*n/19 + 75. Find o, given that r(o) = 0.
-1, 46
Let u(j) be the second derivative of -j**4/96 + 11*j**3/24 - 21*j**2/16 - 36*j. Find n such that u(n) = 0.
1, 21
What is j in 8/7*j**3 + 144/7*j**2 + 102*j + 578/7 = 0?
-17/2, -1
Let l(y) = -10*y**2 - 180*y + 2. Let t be l(-18). Factor 468/5*h + 507/5*h**t + 108/5.
3*(13*h + 6)**2/5
Let z(q) = -34*q**4 - 23*q**3 + 3*q - 7. Let d(f) = 16*f**4 + 12*f**3 - 2*f + 3. Let b(c) = 7*d(c) + 3*z(c). Find x, given that b(x) = 0.
-1, 0, 1/2
Let r(t) = t**4 - t**3 + 10*t**2 + 9*t + 3. Let l(d) = -10*d**2 - 8*d - 2. Let g(f) = -3*l(f) - 2*r(f). Factor g(s).
-2*s*(s - 3)*(s + 1)**2
Let -3034*l**2 - l**3 + 3038*l**2 + 4*l + 2*l**3 = 0. Calculate l.
-2, 0
Let d(l) be the third derivative of -l**5/20 - 151*l**4/8 - 149*l**3 - 74*l**2 - 6*l. Factor d(w).
-3*(w + 2)*(w + 149)
Let p(c) be the second derivative of -c**7/63 - 2*c**6/45 + c**5/10 - 104*c + 1. Factor p(u).
-2*u**3*(u - 1)*(u + 3)/3
Suppose 48/5*k**4 - 3/5*k**5 - 15*k**3 + 348/5*k - 30*k**2 - 168/5 = 0. Calculate k.
-2, 1, 2, 14
Let o(i) = 3*i**4 + 32*i**3 + 80*i**2 + 86*i + 40. Let u(q) = -15*q**4 - 159*q**3 - 399*q**2 - 429*q - 198. Let d(v) = -24*o(v) - 5*u(v). Factor d(h).
3*(h + 1)**2*(h + 2)*(h + 5)
Let j(b) be the first derivative of 5*b**3/2 + 57*b**2/4 - 6*b - 263. Factor j(n).
3*(n + 4)*(5*n - 1)/2
Factor 0*v**4 + 4*v**4 - 5*v**4 - 105804492 + 6740636*v + 191*v**3 - 94729429 - 84966*v**2 + 285*v**3.
-(v - 119)**4
Let p(n) = 8*n**2 - 85*n - 93. Let a(s) = -12*s**2 + 127*s + 139. Let q(u) = -5*a(u) - 7*p(u). Suppose q(k) = 0. Calculate k.
-1, 11
Let d = 317/6 + -1537/30. Factor 2/5*f**2 - 8/5*f - d + 2/5*f**3.
2*(f - 2)*(f + 1)*(f + 2)/5
Let t = -1200/7 - -172. Let n = -2331 + 2333. What is p in t*p + 1/7*p**n + 0 = 0?
-4, 0
Let d(u) be the second derivative of 5/8*u**4 + 9/40*u**5 + 1/4*u**3 + 0 - 3/4*u**2 + 8*u. Solve d(b) = 0.
-1, 1/3
Suppose 18*s - 925 = 263. Let w = s - 66. Factor 3/2*k + 3/2*k**5 + 6*k**2 + 6*k**4 + 9*k**3 + w.
3*k*(k + 1)**4/2
Suppose -22 + 20 = -2*a. Let z be a/(1 + (-4)/8). Determine l, given that -3/4 - 9/4*l + 3*l**z = 0.
-1/4, 1
Determine p so that -7*p**5 + 28*p**2 - 36*p**3 + 13*p**4 - 10*p**5 + 13*p**5 + 2*p + 7*p**4 - 10*p = 0.
0, 1, 2
Let t(g) be the first derivative of -g**4/20 + 9*g**2/10 - 14. Solve t(q) = 0.
-3, 0, 3
Find j, given that 14/15*j - 2/15*j**3 - 4/3 + 8/15*j**2 = 0.
-2, 1, 5
Suppose 5*w + 46 + 29 = 0. Let q = w + 19. Factor -10*p**4 - 16*p**4 + 7*p**5 - 2*p**3 + 21*p**q.
p**3*(p - 1)*(7*p + 2)
Let -61/4*i**2 + i**5 + 7/2*i + 3*i**3 + 31/4*i**4 + 0 = 0. What is i?
-7, -2, 0, 1/4, 1
Let o be (-2)/(-4) + 428/224. Let k = o + -17/8. Find q, given that k*q + 6/7*q**2 - 2/7*q**3 - 4/7 - 2/7*q**4 = 0.
-2, -1, 1
Determine p, given that 168/11*p + 178/11*p**2 + 0 + 8/11*p**3 - 2/11*p**4 = 0.
-7, -1, 0, 12
Let o(p) = -15*p**2 - 188*p + 203. Let i(k) = 10*k**2 + 125*k - 135. Let f(j) = 7*i(j) + 5*o(j). Factor f(y).
-5*(y - 1)*(y + 14)
Suppose -16 = 2*l, 2*x + 53*l = 49*l - 32. Factor 1/10*z**2 + 1/5*z**3 + 0 + 1/10*z**4 + x*z.
z**2*(z + 1)**2/10
Let q(c) be the third derivative of -c**7/490 - c**6/20 - 5*c**5/28 - 3*c**4/14 - 451*c**2. Factor q(d).
-3*d*(d + 1)**2*(d + 12)/7
Let n = 37 + -35. Solve -v - v + 2*v + 6*v - 2*v**n = 0.
0, 3
Let o be 5/(80/168)*2/12. Find j such that -21/4*j**2 + 1/2*j**3 + o*j**4 - 5*j - 1 = 0.
-1, -2/7, 2
Let r = -275/12 + 23. Let z(t) be the second derivative of -1/24*t**4 + r*t**3 + 2*t + 0*t**2 + 0. What is n in z(n) = 0?
0, 1
Let k(r) be the first derivative of 4/15*r**2 - 36 + 0*r**3 + 0*r + 2/75*r**5 - 1/10*r**4. Factor k(c).
2*c*(c - 2)**2*(c + 1)/15
Solve -296/9*b + 2/9*b**2 + 10952/9 = 0.
74
Let u(c) = -13*c - 2. Let n be u(-1). Let b = -6 + n. What is r in 0 - b*r + r**2 - 7*r**2 + 2*r**2 - 2 - r**3 = 0?
-2, -1
Let l(i) be the third derivative of -i**6/10 + 73*i**5/15 - 31*i**4/2 + 46*i**3/3 + 21*i**2 - 13*i. Factor l(q).
-4*(q - 23)*(q - 1)*(3*q - 1)
Let l(i) = -i**3 - 9*i**2 + 10*i. Let d be l(-10). Find z, given that -5*z**3 + 6*z**2 + 5*z + 11*z**2 - 2*z**2 - 15*z**4 + d*z**2 = 0.
-1, -1/3, 0, 1
Let o(w) be the first derivative of 0*w**3 - 5 + 0*w**4 - 1/270*w**5 - 7/2*w**2 + 0*w. Let f(a) be the second derivative of o(a). Let f(p) = 0. What is p?
0
Solve 40*w - 2*w**2 - 41*w + 12 + w**3 - 10*w = 0 for w.
-3, 1, 4
Let y(o) be the second derivative of o**9/7560 - o**8/840 + o**7/420 + 7*o**4/12 + 9*o. Let h(x) be the third derivative of y(x). Factor h(b).
2*b**2*(b - 3)*(b - 1)
Let c be (-1)/(-4) + (-270)/(-72). Suppose -22*s - 20 + 75*s**3 + c*s + 25*s**2 - 42*s - 5*s**4 - 15*s**5 = 0. Calculate s.
-2, -1, -1/3, 1, 2
Let u be (-98)/392 - (-2 + 27/20). Factor 3/5*j**2 + 2/5*j**3 + u*j + 1/10 + 1/10*j**4.
(j + 1)**4/10
Let z(x) be the second derivative of 1/15*x**4 - x**2 + 0 + 2*x + 4/15*x**3 + 1/150*x**5. Let t(l) be the first derivative of z(l). Find g, given that t(g) = 0.
-2
Let l(r) be the third derivative of 26/105*r**7 - 2*r**6 + 0*r**3 - 32/3*r**4 - 1/84*r**8 + 112/15*r**5 + 0*r + 47*r**2 + 0. Suppose l(z) = 0. Calculate z.
0, 1, 4
Suppose 6*l = 73 + 5. Let 4 + 28*u**2 - 32*u - l - 4*u**3 - 22 - 33 = 0. Calculate u.
-1, 4
Let u(r) be the first derivative of -2*r**5/5 - r**4/2 + 20*r**3/3 - 8*r**2 - 205. Let u(p) = 0. What is p?
-4, 0, 1, 2
Let k(v) = 3*v**2 + 17*v - 58. Let i(c) = 15*c**2 + 84*c - 291. Let l(n) = -5*i(n) + 24*k(n). Find z such that l(z) = 0.
-7, 3
Let 52/21*q**2 + 2/7*q + 10/7*q**3 + 0 - 16/21*q**4 = 0. What is q?
-1, -1/8, 0, 3
Factor 2/3*c**4 + 14/3*c**3 + 28/3*c**2 + 16/3*c + 0.
2*c*(c + 1)*(c + 2)*(c + 4)/3
Let r be -4 - (-10 + (-3 - -6)). Factor 2*c**3 - 18*c - 3*c**2 - 14*c**2 + r*c**2 - 16*c - 18.
2*(c - 9)*(c + 1)**2
Let c(v) = -v - 1. Suppose -3 = -3*b + 4*y + 3, -4*y = b - 2. Let x(o) = -o**2 + 15*o + 7. Let g(w) = b*x(w) + 22*c(w). Factor g(j).
-2*(j - 2)**2
Let y(q) = -13*q**2 - 691*q - 19508. Let c(n) = -4*n**2 - 230*n - 6502. Let w(o) = -7*c(o) + 2*y(o). Factor w(t).
2*(t + 57)**2
Let d = 206 + -346. Let x = d + 142. Factor -3*t + 0 + 3/2*t**