is i?
1
Let y(b) = -2*b**2 + 3*b**2 + 0*b**2 - 1 + 0*b**2. Let f(a) = -4*a**3 - 9*a**2 - 8*a - 3. Let i(x) = f(x) - 3*y(x). Factor i(z).
-4*z*(z + 1)*(z + 2)
What is j in -115*j + 0*j - 3 + 350*j**2 - 7 = 0?
-1/14, 2/5
Let j(f) = -17*f - 82. Let i be j(-5). Let q(z) be the second derivative of 0 - 5*z + 4*z**2 + 0*z**i - 1/10*z**5 - 1/2*z**4. Factor q(r).
-2*(r - 1)*(r + 2)**2
Let a(x) be the first derivative of 2*x**4 - x**2 + 1/3*x**6 + 20 - 7/5*x**5 + x - 2/3*x**3. Find m, given that a(m) = 0.
-1/2, 1
Let n be -8 - (-19)/(57/30). Let r(b) be the first derivative of 1/2*b**4 - 32/21*b**3 + 0*b - 3 + 4/7*b**n. Suppose r(a) = 0. What is a?
0, 2/7, 2
Let q = -13 + 16. Suppose -3*k = -2*k - q. Let 8*x + 8*x + x + 12*x**2 + 4*x**k - 9*x = 0. Calculate x.
-2, -1, 0
Suppose 0 = 4*k - 66 + 50. Let y(h) be the first derivative of -2/5*h**5 + 0*h**2 + 0*h - h**k - 2/3*h**3 - 5. Suppose y(l) = 0. What is l?
-1, 0
Find m such that -15/4*m**4 + 0*m**2 + 3*m**3 + 0 + 3/4*m**5 + 0*m = 0.
0, 1, 4
Let y be -1 + (-121)/(-12) - 2322/3096. Determine g so that -15 + y*g**2 + 5/3*g**3 + 5*g = 0.
-3, 1
Factor -8/13*d + 8/13 + 4/13*d**3 + 2/13*d**4 - 6/13*d**2.
2*(d - 1)**2*(d + 2)**2/13
Let r(l) = -3*l**4 + 66*l**3 - 291*l**2 - 792*l - 430. Let f be ((-180)/45)/(1 + -2 - 1). Let o(s) = 1. Let v(c) = f*o(c) - r(c). Let v(w) = 0. What is w?
-1, 12
Let s be -10 + 1130/225 + 5. Let w(x) be the first derivative of -1/9*x**3 + 1/2*x**2 + 0*x - 5/36*x**4 - s*x**5 - 6. Determine p, given that w(p) = 0.
-3, 0, 1
Let k be (-171)/399 - (88/(-42) + 1). Suppose 6*u - 7*u + 2 = 0. Factor -1/3*n**u + 1/3*n + k.
-(n - 2)*(n + 1)/3
Factor 54/17 - 52/17*m - 2/17*m**2.
-2*(m - 1)*(m + 27)/17
Let u = 5450 + -5447. Find s, given that 1/3*s**u + 2/3*s**2 - 1/3*s**5 - 2/3*s**4 + 0 + 0*s = 0.
-2, -1, 0, 1
Let z(n) be the third derivative of n**8/672 + n**7/120 + n**6/160 - n**5/30 - n**4/24 + 83*n**2 - n. Find u, given that z(u) = 0.
-2, -1/2, 0, 1
Suppose 0 = -2*f + 4*f + 38. Let h = -17 - f. Solve -s**5 - 2 + 4 - h = 0 for s.
0
Let y = 56 - 58. Let l be ((-8)/(-10))/y*(-6)/3. What is x in -1/5 - l*x**2 - 4/5*x = 0?
-1/2
Let z be (-28)/(-13) + ((-268)/52 - -5). Suppose -72 - 24*b + b**z + 6*b**2 - 9*b**2 = 0. Calculate b.
-6
Let o(v) be the third derivative of v**6/420 + v**5/105 - v**2 - 121*v. Factor o(x).
2*x**2*(x + 2)/7
Let a be (-7)/((-105)/60) + (-3)/(-1). Let f(v) be the first derivative of 1/9*v**2 + 0*v - a - 2/45*v**5 + 2/27*v**3 - 1/18*v**4. What is x in f(x) = 0?
-1, 0, 1
Let x(p) be the second derivative of -p**4/48 + 5*p**3/4 + 31*p**2/8 - 24*p + 2. Solve x(d) = 0 for d.
-1, 31
Let w be 1/2 + ((-25)/(-10))/1. Let l(b) be the third derivative of -b**4 + 1/15*b**5 + 6*b**w + 5*b**2 + 0 + 0*b. Factor l(s).
4*(s - 3)**2
Let i(f) be the third derivative of -f**7/420 - f**6/180 + f**5/60 + f**4/12 - 10*f**3/3 - 14*f**2. Let o(c) be the first derivative of i(c). Factor o(m).
-2*(m - 1)*(m + 1)**2
Let q = -445 - -447. Let x(o) be the third derivative of 1/60*o**5 - 1/3*o**3 + 0*o - 9*o**q - 1/24*o**4 + 0. Let x(n) = 0. Calculate n.
-1, 2
Let i(w) be the second derivative of -w**4/48 - 14*w**3/3 + 113*w**2/8 - 3*w + 60. Solve i(a) = 0.
-113, 1
Let f(j) = -j**3 - 5*j**2 + 7*j + 11. Let v be f(-6). Suppose -12 = -v*l - l. Factor r**l + 1/3 + 7/6*r.
(2*r + 1)*(3*r + 2)/6
Let y = 7/180 + 1003/1980. Let o be 0/(2/(2/(-1))). Factor 2/11*n**2 + o - y*n.
2*n*(n - 3)/11
Let o(k) be the second derivative of k**5/4 - 25*k**4/6 + 35*k**3/2 - 690*k. Let o(n) = 0. Calculate n.
0, 3, 7
Suppose -13*t + 9 + 30 = 0. Let k be 32*(-3 - 64/(-20)). Solve 8/5*x**t + 34/5*x**2 + 6/5 + k*x = 0 for x.
-3, -1, -1/4
Suppose 13*p - 182 + 0 = 0. Suppose g = -2*k + p, -k - 3*g = 7 - 19. Suppose -10*m - k - 2/3*m**3 - 14/3*m**2 = 0. What is m?
-3, -1
Let k(m) be the first derivative of m**5/20 - 37*m**4/8 - 19*m**3 - 115*m**2/4 - 77*m/4 - 52. Let k(c) = 0. What is c?
-1, 77
Let s(d) = -7*d + 326. Let c be s(46). Let v(g) be the second derivative of 0*g**2 - 2/15*g**5 - g + 0 - 2/9*g**3 - 5/18*g**c - 1/45*g**6. Factor v(p).
-2*p*(p + 1)**2*(p + 2)/3
Let x(c) = -2*c**4 + 6*c**3 + 2*c**2 - 10*c - 8. Let w(k) = -k**4 - k**3 - k**2. Let y(d) = 4*w(d) - x(d). Factor y(t).
-2*(t - 1)*(t + 1)**2*(t + 4)
Suppose -4*n - b = -16, -3*n + 3 = 2*n - 3*b. Suppose -14*j - 8*j**2 - 6*j**5 - 2*j + 12*j**3 + n*j**4 - j**4 + 4*j**5 = 0. What is j?
-2, -1, 0, 2
Suppose -2 = 2*g + 4. Let p(q) = q**2 + 2*q. Let o be p(g). Factor 3*d + o*d**2 - 8*d + 2*d.
3*d*(d - 1)
Factor -32400*x - 3/4*x**3 - 1296000 - 270*x**2.
-3*(x + 120)**3/4
Let l = 1122 - 1122. Factor 16/15*d**4 + 2/15*d**2 + l + 0*d - 4/5*d**3.
2*d**2*(2*d - 1)*(4*d - 1)/15
Factor 230 - 138*o - 2*o**2 - 153*o + 407*o - 1912.
-2*(o - 29)**2
What is s in -2/9*s**3 + 62/9*s - 32/9 - 28/9*s**2 = 0?
-16, 1
Let t = 7 + -5. Suppose 0 = t*m + 9*m. Solve 0*p**3 + 7/6*p**5 + 0 + 1/3*p**4 + 0*p + m*p**2 = 0.
-2/7, 0
Let w = 616 - 616. Let s(o) be the third derivative of 0*o**3 - 1/240*o**5 + 1/840*o**7 + w*o**4 + 0*o**6 + 0 - 2*o**2 + 0*o. Let s(l) = 0. Calculate l.
-1, 0, 1
Let t = -610 - -615. Let s(h) be the first derivative of -1/5*h**t - h - 2*h**2 - h**4 - 5 - 2*h**3. Factor s(m).
-(m + 1)**4
Let g(c) be the first derivative of -c**6/90 + c**5/20 - c**4/36 - c**3/6 + c**2/3 + 15*c + 14. Let p(l) be the first derivative of g(l). Factor p(f).
-(f - 2)*(f - 1)**2*(f + 1)/3
Let f(d) = 6*d + 351. Let y be f(-58). Let q(r) be the first derivative of 1/15*r**4 + 2/45*r**y + 8 - 2/75*r**5 + 0*r - 2/15*r**2. Solve q(v) = 0 for v.
-1, 0, 1, 2
Let l(a) = -5*a**2 - 4*a - 7. Let x be l(-5). Let t = 225/2 + x. Factor 0 + 0*q - 1/4*q**3 + t*q**2.
-q**2*(q - 2)/4
Let -56/5 + 14/5*c**2 + 2/5*c**3 - 8/5*c = 0. What is c?
-7, -2, 2
Let d(h) be the first derivative of -25/3*h**3 - 25 + 30*h**2 - 20*h. Find x such that d(x) = 0.
2/5, 2
Let t = 20/239 + -39475/478. Let d = t - -84. Suppose -d*g + 0 - 1/2*g**2 = 0. Calculate g.
-3, 0
Let f = -72/67 + 638/469. Factor -f*c**2 + 2/7*c**3 - 2/7*c + 2/7.
2*(c - 1)**2*(c + 1)/7
Suppose 161/5*l - 9/5*l**4 + 6 + 111/5*l**2 - 29/5*l**3 = 0. What is l?
-5, -1, -2/9, 3
Solve -540/11 + 738/11*w - 96/11*w**2 + 60/11*w**4 - 156/11*w**3 - 6/11*w**5 = 0.
-2, 1, 3, 5
Let v = 118 + -116. Let x be (2*(-3)/(-6))/2. Factor -m + x*m**v + 0.
m*(m - 2)/2
Let n(s) be the first derivative of s**6/21 - 4*s**5/35 - 3*s**4/7 + 40*s**3/21 - 19*s**2/7 + 12*s/7 + 54. Factor n(o).
2*(o - 2)*(o - 1)**3*(o + 3)/7
Let s = 40 - 37. Determine i, given that 16*i**3 + 5*i + 6*i**s - 21*i + 4*i**4 - 10*i**3 = 0.
-2, 0, 1
Let m be -10 + (32 - 10) - 8. Find o, given that o**2 - 4/5 - 1/5*o**m + 8/5*o + 2/5*o**5 - 2*o**3 = 0.
-2, -1, 1/2, 1, 2
Let i(d) be the third derivative of 0*d**4 + 0*d + 1/80*d**5 + 19*d**2 + 0 - 1/6*d**3 - 1/480*d**6. What is g in i(g) = 0?
-1, 2
Let v be ((-30)/(-25))/(2/10). Let i be ((-4)/(-6))/((-2)/v*-1). Factor 2/9*o**i - 4/9*o + 2/9.
2*(o - 1)**2/9
Let m(n) = -2*n - 2. Suppose 1 = -4*t - s, 2*t = -0*t - 5*s - 23. Let z(k) = -k**2 + k + 1. Let u(v) = t*m(v) + 2*z(v). Factor u(c).
-2*c**2
Let r(b) = 9*b**2 + 13. Let m = 72 + -78. Let z(o) = 2*o**2 + 3. Let q(x) = m*r(x) + 26*z(x). Factor q(k).
-2*k**2
Let k = -52/9 + 35/6. Let v(c) be the first derivative of 2/15*c**5 - 2/9*c**3 - 1/6*c**2 - 2 + 0*c + k*c**6 + 0*c**4. Suppose v(f) = 0. What is f?
-1, 0, 1
Let s(l) be the second derivative of -4/3*l**4 + 0 - 2/21*l**6 - 22/35*l**5 - 16/21*l**3 - 4*l + 0*l**2. Factor s(m).
-4*m*(m + 2)**2*(5*m + 2)/7
Let g(n) be the third derivative of n**6/360 - n**5/90 - n**4/24 - 83*n**2. Solve g(r) = 0.
-1, 0, 3
Factor -76/5*z + 16/5*z**2 + 56/5 + 4/5*z**3.
4*(z - 2)*(z - 1)*(z + 7)/5
Determine c, given that 36/7*c + 0 + 2/7*c**4 + 24/7*c**3 + 58/7*c**2 = 0.
-9, -2, -1, 0
Factor -222*n - 4107 - 12*n**2 + 9*n**2 + 0*n**2.
-3*(n + 37)**2
Let n(m) = -m**2 + 9*m - 2. Let r(s) = -2*s**2 + 22*s - 4. Let x(g) = 7*n(g) - 3*r(g). Factor x(h).
-(h + 1)*(h + 2)
Let f be (0 - -2) + 37 + 15. Let c = 54 - f. Find g such that -g**4 + 0 + 1/3*g**5 + 0*g + 4/3*g**2 + c*g**3 = 0.
-1, 0, 2
Let o be (14/6)/(2/(-12)). Let m = o + 17. Suppose 7*j**3 + 2*j**m - j**3 - 5*j**3 = 0. What is j?
0
Factor -27/4*n**2 + 0 + 27/4*n - 3/4*n**3 + 3/4*n**4.
3*n*(n - 3)*(n - 1)*(n + 3)/4
Let v(w) = 3*w**4 + 14*w*