-75)/(-270)*918/170. Let v = -1/2 + 1. What is m in -v*m**2 + 2 + i*m = 0?
-1, 4
Let q be (31 + 1792/48 - 2/6)/18. Factor q*o - 2 + 4/9*o**2.
2*(o + 9)*(2*o - 1)/9
Solve -267*k**2 - 3*k**3 - 19968 - 11128*k + 3691*k - 41637 = 0 for k.
-37, -15
Let d(u) be the first derivative of -5*u**6/6 + 5*u**5 + 285*u**4/4 + 165*u**3 + 1092. Suppose d(x) = 0. What is x?
-3, 0, 11
Suppose 423*b - 425*b + 650 = 0. Let a be -1 - 0 - b/(-175). Factor a - 2/7*o**2 - 4/7*o.
-2*(o - 1)*(o + 3)/7
Let g be (20965/28)/((-5)/(-8)). Solve -12*z**2 - g*z + 33 + 2525*z - 1198*z = 0.
-1/4, 11
Let h(s) be the first derivative of s**6/48 - s**5/40 - 33*s**4/32 + 41*s**3/24 + 29*s**2/2 - 30*s + 6139. Determine k, given that h(k) = 0.
-5, -3, 1, 4
Let c be (9 - -6) + 28/4. Factor -36*j + 10*j**4 + 23*j**2 + c*j**2 + 3*j**5 + 8*j**4 - 39*j**2 - 24 + 33*j**3.
3*(j - 1)*(j + 1)*(j + 2)**3
Let n(w) be the first derivative of -w**6/6 - 3*w**5/4 + 83*w + 31. Let i(f) be the first derivative of n(f). Factor i(z).
-5*z**3*(z + 3)
Let q(i) be the second derivative of -i**5/10 - 53*i**4/6 - 200*i**3/3 - 196*i**2 - 575*i. Factor q(w).
-2*(w + 2)**2*(w + 49)
Let r = 13594/627 + -1066/19. Let v = -364/11 - r. What is s in 1/3*s**2 + 4/3 + v*s = 0?
-2
Let g be (382602/155)/34 - 45. Factor -g*x + 1587/5 + 3/5*x**2.
3*(x - 23)**2/5
Let k be 2/((-6 - -4)*(-54)/12). Let b(s) be the first derivative of 2/3*s - k*s**3 + 5 + 0*s**2. Determine c, given that b(c) = 0.
-1, 1
Determine g so that -88/3 - 2/3*g**3 + 34*g - 4*g**2 = 0.
-11, 1, 4
Solve 16/7*x**3 + 2/7*x**4 - 36/7*x + 0 - 22/7*x**2 = 0.
-9, -1, 0, 2
Let l(t) = -4*t + 25. Let i be l(6). Let o be (-1 + i)/(6 - 4). Solve o - 3/2*w - w**2 + 1/2*w**3 = 0.
-1, 0, 3
Let 223 + 3*i**3 + 8*i**2 - 276*i - 167 + 13*i**2 + 196 = 0. Calculate i.
-14, 1, 6
Let b(k) be the first derivative of 2/15*k**5 + 0*k - 4/15*k**4 + 43 - 8/45*k**3 + 0*k**2. Factor b(u).
2*u**2*(u - 2)*(5*u + 2)/15
Let k = 105 - 103. Factor k*w**3 - 25*w**5 - w**4 + 54*w**5 + 2*w**2 - w - 1 - 30*w**5.
-(w - 1)**2*(w + 1)**3
Let r(d) be the first derivative of 400*d**4 - 260*d**3/3 - 148*d**2 - 36*d + 6400. Factor r(p).
4*(5*p + 1)**2*(16*p - 9)
Let r be ((-22)/(-33))/((-3)/(-27)) - 3. Let c be r/5 + (-1744)/(-560). Determine d, given that -2*d**4 - c*d**2 + 8/7*d + 0 + 2/7*d**5 + 30/7*d**3 = 0.
0, 1, 4
Let h = -259/204 - -23/17. Let l(d) be the third derivative of 0*d + 0 + 5/2*d**3 + h*d**5 - 5/6*d**4 + 6*d**2. Find i such that l(i) = 0.
1, 3
Let 186*z + 258*z + 10404 + z**2 - 240*z = 0. Calculate z.
-102
Let x(i) be the second derivative of -i**7/28 - 122*i**6/5 - 2187*i**5/20 - 182*i**4 - 485*i**3/4 - 2409*i. Find g such that x(g) = 0.
-485, -1, 0
Let b = -240 + 312. Find o, given that b + 32*o**2 + 35*o - 9*o**2 + o - 19*o**2 = 0.
-6, -3
Find t such that -165/7*t - 82/7*t**3 - 9/7*t**5 - 25/7 + 75/7*t**4 - 306/7*t**2 = 0.
-1, -1/3, 5
Let h = 345 + -218. Let p = h + -72. Suppose 50*s**2 - 101*s**2 + p*s**2 = 0. What is s?
0
Factor 8/11*t**4 + 8/11*t**3 + 0 + 0*t**2 + 0*t + 2/11*t**5.
2*t**3*(t + 2)**2/11
Let f = 55242/7 + -55236/7. Let t be 1/(9 + (2 - 4)). Factor -4/7*r**4 - 4/7*r**2 + 0 - t*r**5 - f*r**3 - 1/7*r.
-r*(r + 1)**4/7
Let v be (180/54)/(2436/7830). Factor -3/7*t**5 - 24/7 - 24/7*t**4 - 12*t - v*t**3 - 114/7*t**2.
-3*(t + 1)**2*(t + 2)**3/7
Let s(u) = -5*u**2 - 57*u + 3083. Let c(n) = -10*n**2 - 145*n + 6165. Let g(v) = -3*c(v) + 5*s(v). Find t, given that g(t) = 0.
-44, 14
Factor 4*z**2 - 6*z**2 + 544 + 960*z + 4*z**2 + 5*z**2 + 7*z**2.
2*(z + 68)*(7*z + 4)
Let m = 165/956 - -6163/8604. Factor -8/9*b - 2/9*b**3 + 0 + m*b**2.
-2*b*(b - 2)**2/9
Let s(h) be the first derivative of -h**6/10 - 9*h**5/10 + 11*h**4/4 + 30*h**3 - 150*h**2 - 66*h + 34. Let v(d) be the first derivative of s(d). Factor v(y).
-3*(y - 2)**2*(y + 5)**2
Suppose 8*h - 405 = 3*h. Let v = h + -77. Factor 2*q - 35*q**2 + 23*q**2 + 14*q**2 - v.
2*(q - 1)*(q + 2)
Suppose 5794 = 2072*o + 825*o. Solve -2/13*d**o - 20/13*d - 32/13 = 0 for d.
-8, -2
Let i = 120/857 + 1354/2571. Solve 8*u**2 + 20/3*u + 2 + 4*u**3 + i*u**4 = 0 for u.
-3, -1
Let g(q) be the second derivative of -3*q**5/80 + 3*q**4/8 + 37*q**3/8 - 315*q**2/4 + 29*q - 64. Solve g(l) = 0.
-6, 5, 7
Let d(i) be the first derivative of -i**6/4 - 363*i**5/40 - 1395*i**4/16 - 225*i**3/8 - 1488. Solve d(c) = 0 for c.
-15, -1/4, 0
Let u(m) be the first derivative of 3*m**5/40 + 63*m**4/32 + 9*m**3/4 - 15*m**2/2 + 7048. Let u(h) = 0. What is h?
-20, -2, 0, 1
Factor -176*a - 15488 - 1/2*a**2.
-(a + 176)**2/2
Let z be (190 - 47 - 141)*(-4)/(-14). What is w in -3072/7*w**2 - 192/7*w**3 + 0 - 16384/7*w - z*w**4 = 0?
-16, 0
Let t(r) be the third derivative of 1/840*r**6 + 8*r**2 + 3/2*r**3 + 0 - 5/56*r**4 + 0*r + 1/70*r**5. Let s(f) be the first derivative of t(f). Factor s(i).
3*(i - 1)*(i + 5)/7
Let q(v) be the second derivative of -v**5/4 + 115*v**4/4 - 170*v**3/3 + 102*v - 1. Determine k so that q(k) = 0.
0, 1, 68
Let x be (-6 - -7)*(-64)/(-48). Let y(s) be the first derivative of -s**4 - 5 - x*s**3 + 2/3*s**6 + 4/5*s**5 + 0*s + 0*s**2. Factor y(z).
4*z**2*(z - 1)*(z + 1)**2
Let v(q) be the third derivative of -q**6/60 - 8*q**5/15 + 5*q**4/12 + 100*q**3 - 71*q**2 + q. Find j, given that v(j) = 0.
-15, -5, 4
Let n = -1438901 - -4316704/3. Factor -n*s**2 - 4/3*s + 0.
-s*(s + 4)/3
Let b(o) be the second derivative of o**6/180 - o**5/10 + 2*o**4/3 + 5*o**3/3 - 3*o + 2. Let x(r) be the second derivative of b(r). Let x(f) = 0. Calculate f.
2, 4
Let a = 21/76 - 1/38. Let u(y) be the second derivative of 0 - 2/3*y**2 - 6*y - 7/120*y**5 - 1/180*y**6 - 5/9*y**3 - a*y**4. Factor u(p).
-(p + 1)*(p + 2)**3/6
Suppose 62*b = 64*b - 70. Let n be 40/b*(-21)/6 - -102. Factor 2/7*i**3 + 42*i - 6*i**2 - n.
2*(i - 7)**3/7
Suppose 2*f - 7*f + 350 = 0. Let a(u) = u**2 + 24*u - 23. Let v be a(1). Factor 65*s**2 + 114 + f*s - 102 + 31*s**v - 18*s**3.
-2*(s - 6)*(3*s + 1)**2
Suppose 52/3*z**2 - 2*z**3 - 6*z**4 + 56/3*z + 16/3 = 0. Calculate z.
-1, -2/3, 2
Let r(z) = 2*z**2 + 10*z - 3. Let i(a) = -47*a + 25*a + 1 + 20*a. Let t(m) = 3*i(m) + r(m). Suppose t(q) = 0. Calculate q.
-2, 0
Let u(y) be the first derivative of 29*y**5/10 + 7*y**4 - 2*y**3/3 + 518. Factor u(b).
b**2*(b + 2)*(29*b - 2)/2
Let t(b) be the third derivative of 1/140*b**5 + 1/28*b**4 - 21*b + 0 - 2*b**2 - 1/140*b**6 - 1/490*b**7 + 0*b**3. Factor t(v).
-3*v*(v - 1)*(v + 1)*(v + 2)/7
Let x(u) be the first derivative of 19 - 9/2*u**2 + 0*u - u**3. Factor x(b).
-3*b*(b + 3)
Let k = 395 + -385. Let x(s) be the second derivative of 0 + 2*s - 208/9*s**3 - 64/3*s**2 - 47/30*s**5 + 4/45*s**6 + k*s**4. Factor x(n).
2*(n - 4)**3*(4*n + 1)/3
Let z(x) = -2*x**3 + 12*x**2 - 4*x - 36. Let r be z(5). Let i be (-15)/(-85)*80/r*-2. Factor 32/17*l**4 + 66/17*l**2 - 20/17*l - i*l**3 + 2/17.
2*(l - 1)**2*(4*l - 1)**2/17
Let a be 1/(-3) - 942/(-558). Let f = 440/279 - a. Factor 2/9*p - f*p**3 + 0*p**2 + 0.
-2*p*(p - 1)*(p + 1)/9
Factor -1/7*q**2 - 1532/7*q - 586756/7.
-(q + 766)**2/7
Let n(b) be the second derivative of 3*b**5/80 - 9*b**4/8 - b**3/8 + 27*b**2/4 + b + 32. Factor n(s).
3*(s - 18)*(s - 1)*(s + 1)/4
Let t(j) be the first derivative of -21/4*j**2 + 19 + 3/8*j**4 - 6*j - j**3. Suppose t(k) = 0. Calculate k.
-1, 4
Let b(v) be the third derivative of -v**5/150 - 16*v**4/15 + 13*v**3/3 - 799*v**2 + 2. Factor b(p).
-2*(p - 1)*(p + 65)/5
Let s(d) be the second derivative of d**7/294 + d**6/210 - d**5/14 - 5*d**4/42 + 3*d**3/14 + 9*d**2/14 + 8416*d. Solve s(x) = 0 for x.
-3, -1, 1, 3
Let d be (20/(-60))/(-3 - ((-180)/(-8))/(-9)). Let a(u) be the first derivative of u**2 - 4*u + 11 + d*u**3. Factor a(z).
2*(z - 1)*(z + 2)
Suppose -5*a - 3*r - 8 = 0, 4*a = -987*r + 980*r - 57. Find s such that 4/3*s**2 + 0*s**3 - 4/15 - 16/15*s**4 - 2/5*s + 2/5*s**a = 0.
-1, -1/3, 1, 2
Let x be 8503/(-55)*-1 - (-2)/(-2). Suppose -3/5*a**2 + 96/5*a - x = 0. Calculate a.
16
Let o = 388 + -383. Factor -150*p**3 - 400*p**2 + 350*p**3 + 400*p - 3*p**4 - 47*p**4 - 160 + 5*p**o.
5*(p - 2)**5
Let b(i) = 39*i + 48. Let k be b(-1). Suppose 0 = -t + x + 3, -3*t + 4*x + k = 7*x. Let 0 - 1/7*u**2 - 1/7*u**t + 1/7*u + 1/7*u**4 = 0. Calculate u.
-1, 0, 1
Let u(i) = -3*i**2 + 212*i - 207. Let h(r) = 10*r**2 - 637*r + 620. Let g(m) = -2*h(m) - 7*u(m). Factor g(