*d(p) + 2*l(p). Find r, given that i(r) = 0.
0, 1, 3, 8
Let d = -941 - -941. Let n(s) be the third derivative of 1/7*s**7 + 0*s**3 + 7*s**2 + 2/15*s**5 + d + 0*s + 3/10*s**6 + 0*s**4 - 25/336*s**8. Factor n(f).
-f**2*(f - 2)*(5*f + 2)**2
Suppose 3*z + 2*z - 5 = 0. Let i = z - 2/3. Determine s, given that -i*s**3 + 2/3*s - 1/3*s**5 + s**4 + 0 - s**2 = 0.
-1, 0, 1, 2
Find c such that -1/5*c**3 - 25000 - 1500*c - 30*c**2 = 0.
-50
Let u be 5932/14 + 14/49. Let s = -1261/3 + u. Solve -s*l**2 + 2/3 - 4/3*l**3 - 5/3*l = 0.
-2, -1, 1/4
Let o(v) be the second derivative of v**6/36 - v**5/3 - 5*v**4/8 - 61*v. Find g such that o(g) = 0.
-1, 0, 9
Suppose 57 - 63 = -3*q. Determine j so that 0*j**3 + 83*j**2 + 3*j**3 + 3*j - 89*j**q = 0.
0, 1
Let -57*o - 90 - 32/5*o**2 - 1/5*o**3 = 0. Calculate o.
-15, -2
Let h = -2335/153 + 267/17. Determine t, given that 4/9*t + 0 + h*t**2 = 0.
-1, 0
Let g(s) be the second derivative of s**4/54 - 47*s**3/27 - 16*s**2/3 - 2*s + 129. Factor g(z).
2*(z - 48)*(z + 1)/9
Let t(j) be the second derivative of 0*j**4 + 7*j + 0*j**3 + 2/55*j**5 + 1/231*j**7 - 1/33*j**6 + 0*j**2 + 0. Find z, given that t(z) = 0.
0, 1, 4
Suppose 46*j - 6*j - 96 + 52*j**2 + 6*j**3 - 2*j**3 = 0. Calculate j.
-12, -2, 1
Let t = 967 - 965. Solve -v + 1/5*v**t + 6/5 = 0.
2, 3
Factor 28/3 - 74/15*p + 2/15*p**2.
2*(p - 35)*(p - 2)/15
Let a(q) be the second derivative of -q**4/24 + 13*q**3/2 - 1521*q**2/4 - 10*q + 1. Factor a(b).
-(b - 39)**2/2
Let g(x) = 2*x**2 - 2. Let h(m) = 9*m**2 + 53*m + 44. Let y(i) = 20*g(i) - 4*h(i). Factor y(j).
4*(j - 54)*(j + 1)
Find b such that 0 - 10*b**4 - 83/3*b**3 - 18*b**2 + 0*b - 1/3*b**5 = 0.
-27, -2, -1, 0
Factor 2/15*h**3 - 8/3*h**2 + 0 + 24/5*h.
2*h*(h - 18)*(h - 2)/15
Let p(w) be the second derivative of -w**9/3024 + w**8/224 - w**7/56 + w**6/36 - 7*w**4/12 + 20*w. Let v(u) be the third derivative of p(u). Solve v(k) = 0.
0, 1, 4
Suppose 10*q - 13*q + 12 = 0. Determine o, given that -3 - 6 + 5 + q*o**2 = 0.
-1, 1
Let g(i) = i**3 + i**2 + 7. Let u be ((-1 - 0) + 0)*0. Let a be g(u). Factor 1 - 8 - 5*m**3 + 5*m**2 + a.
-5*m**2*(m - 1)
Solve -40/11*v**3 + 2/11*v**4 - 324/11*v + 234/11*v**2 + 0 = 0 for v.
0, 2, 9
Let r be (-1 - (-111)/135)/(232/(-290)). Find h such that 2/9*h**4 + 2/9 - 4/9*h**2 + 2/9*h**5 + r*h - 4/9*h**3 = 0.
-1, 1
Factor 0*t + 0 + 0*t**2 - 3/10*t**3 + 1/10*t**4.
t**3*(t - 3)/10
Factor 5*p**3 + 162*p - 11*p**2 - 33*p**3 - 15*p**4 - 160*p.
-p*(p + 1)**2*(15*p - 2)
Suppose -3*a + 3 + 0 = 0. Let c(j) = j**3 - j - 1. Let h(d) = 3*d**3 + 6*d**2 + 5*d + 1. Let u(n) = a*h(n) - c(n). Determine z, given that u(z) = 0.
-1
Let p be 10/3 + ((-10)/3 - -3). Let v(f) be the first derivative of 8/5*f**2 + 8/5*f - 2/25*f**5 - 1/5*f**4 - 3 + 2/5*f**p. Find g such that v(g) = 0.
-2, -1, 2
Let q(u) be the third derivative of u**6/120 - 7*u**5/10 - 133*u**4/24 - 15*u**3 + 56*u**2 - 2. Find k, given that q(k) = 0.
-2, -1, 45
Let p(s) = -s**2 + 5*s - 4. Let v be p(3). Find x, given that -x**2 - v + 2*x**2 - 2*x**2 + 0 - 3*x = 0.
-2, -1
Let a(h) be the third derivative of h**7/105 - h**6/60 - 3*h**5/10 - 11*h**4/12 - 4*h**3/3 + 6*h**2 + 8. Let a(p) = 0. Calculate p.
-1, 4
Let -4 + 256*v**3 - 118*v**2 + 19*v**2 + 48*v - 93*v**2 = 0. Calculate v.
1/4
Suppose -3*q - 15 = 0, 0*q = -4*p + 3*q + 31. Let g = 3355 - 10061/3. Factor g*u**3 - p*u + 2/3*u**2 - 3 - 1/3*u**4.
-(u - 3)**2*(u + 1)**2/3
Let u(f) be the third derivative of 2*f**5/15 + f**4/8 + 34*f**2. Let p(x) = x**2 + x. Let n(a) = 3*p(a) - u(a). What is b in n(b) = 0?
0
Let c(j) be the third derivative of -j**6/960 + j**5/120 - j**4/64 - 591*j**2. Let c(w) = 0. Calculate w.
0, 1, 3
Suppose 0*c = -3*c + 6. Factor -6*o**2 + o**4 + 4*o**4 + o**c - 5*o + 5*o**3.
5*o*(o - 1)*(o + 1)**2
Let m(u) be the third derivative of -1/270*u**5 - 22*u**2 + 0 + 0*u - 1/27*u**4 + 0*u**3. Let m(z) = 0. What is z?
-4, 0
Let n = 367/921 + -20/307. Factor v + 2/3*v**2 - n*v**5 + 1/3 - 2/3*v**3 - v**4.
-(v - 1)*(v + 1)**4/3
Let x(s) be the first derivative of -2*s**6/3 - 48*s**5/5 + 42*s**4 - 176*s**3/3 + 30*s**2 - 124. Let x(w) = 0. Calculate w.
-15, 0, 1
Let b(u) be the first derivative of 2*u**5/15 - 14*u**4/3 - 58*u**3/9 - 172. Find m, given that b(m) = 0.
-1, 0, 29
Let z(v) be the first derivative of -v**6/6 - 12*v**5/5 - 27*v**4/4 + 4*v**3/3 + 18*v**2 - 776. Suppose z(j) = 0. What is j?
-9, -2, 0, 1
Let r(n) = 2*n - 8. Let y be (72/42)/(4/14). Let k be r(y). Suppose -q**2 - 3*q + k*q + 2*q**2 + 0*q = 0. Calculate q.
-1, 0
Let l(p) be the third derivative of -5*p**6/56 + p**4/56 + 125*p**2. Factor l(w).
-3*w*(5*w - 1)*(5*w + 1)/7
Let r(b) = b**4 + 6*b**3 - 15*b**2 + 12*b. Let g(o) = -o**3 + 2*o**2 + o. Let w(n) = -6*g(n) + 3*r(n). Factor w(l).
3*l*(l - 1)**2*(l + 10)
Let t be (0/(0 - 1))/(4 + (-32)/16). Factor 2/3*j**4 + 0 + 0*j**2 + t*j - 2/3*j**3.
2*j**3*(j - 1)/3
Let y(f) be the first derivative of -13 + 0*f + 1/30*f**5 - 1/18*f**3 + 0*f**4 + 0*f**2. Factor y(w).
w**2*(w - 1)*(w + 1)/6
Let q(y) be the second derivative of y**4/72 + 9*y**3/4 - 41*y**2/6 - 138*y. Factor q(s).
(s - 1)*(s + 82)/6
Let o(j) be the first derivative of -1/3*j**3 + 2*j**2 - 4*j - 4. Solve o(a) = 0 for a.
2
Suppose -4/15*u + 0*u**2 + 4/15*u**3 + 2/15 - 2/15*u**4 = 0. Calculate u.
-1, 1
Let q(p) be the first derivative of 7*p**6/135 + p**5/45 - 35*p + 55. Let a(m) be the first derivative of q(m). Suppose a(u) = 0. What is u?
-2/7, 0
Let l be ((-4)/(-18))/((-2316)/556 + 4). Let i = -2/207 - l. Factor 8/3*k - i*k**2 + 0.
-4*k*(k - 2)/3
Let y(h) be the third derivative of 0*h - 5/24*h**4 - 1/12*h**5 + 0*h**3 - 7*h**2 + 0. What is t in y(t) = 0?
-1, 0
Let r(c) be the second derivative of -c**5/20 + c**4/6 - c**3/6 - 5*c + 8. Suppose r(a) = 0. What is a?
0, 1
Let m(h) be the third derivative of -8/15*h**7 - 49/60*h**6 + 0*h + 11/12*h**4 + 2/15*h**5 - 2/3*h**3 - 6*h**2 - 2/21*h**8 + 0. Let m(i) = 0. What is i?
-2, -1, 1/4
Let l(d) be the first derivative of -3/2*d - 1/6*d**3 + 5 - d**2. Factor l(i).
-(i + 1)*(i + 3)/2
Let j = -73 + 73. Let p(n) be the second derivative of 0*n**2 + 0*n**4 + 1/10*n**5 - 1/30*n**6 + 5*n + 0*n**3 + j. Factor p(v).
-v**3*(v - 2)
Let n be 28/(-7)*(7 + 213/(-30)). What is s in n*s + 4/15 + 2/15*s**2 = 0?
-2, -1
Suppose -4*u - 22 = 5*p - 10, -5*p = 20. Find j, given that -6*j**3 + 6*j - 4/3 + 4/3*j**u = 0.
-1, 2/9, 1
Let s = 101 - 83. Factor 16*w**3 + 26*w + s*w**3 + 59 - 30 - 25 + 48*w**2 + 8*w**4.
2*(w + 1)**2*(w + 2)*(4*w + 1)
Suppose -12/7*b**2 + 2/21*b**3 - 32/21 + 22/7*b = 0. What is b?
1, 16
Let d(c) be the first derivative of c**4 - 9*c - 2*c**2 + 8 - 1/3*c**3. Let a(n) = 20*n**3 - 4*n**2 - 20*n - 44. Let b(t) = -5*a(t) + 24*d(t). Factor b(s).
-4*(s - 1)*(s + 1)**2
Let c = 790 - 787. Determine d, given that 3/4*d**4 - 1/4 + 3/4*d - 1/2*d**c - 1/2*d**2 - 1/4*d**5 = 0.
-1, 1
Solve 11*k**2 + 56 - 5*k**2 - 4798*k + 4846*k - 2*k**3 = 0.
-2, 7
Let a = -1556 - -10898/7. Solve -a*z**3 - 3/7*z**5 + 9/7*z - 9/7*z**4 + 6/7*z**2 + 3/7 = 0.
-1, 1
Let o(w) = 2*w + 43. Let t be o(-18). Suppose -28 + 10 = -3*i. Factor 2*n**4 + 1 - 4 + i*n**2 + 2*n**4 - t*n**4.
-3*(n - 1)**2*(n + 1)**2
Let w(y) = 2*y**2 - 61*y + 279. Let o be w(25). Let l(h) be the second derivative of 6*h + 0*h**2 + 0 + h**3 + 1/4*h**o. Determine j so that l(j) = 0.
-2, 0
Let n be ((-7830)/203)/9*(-16)/2. Factor -192/7*o**4 - 90/7*o + n*o**3 - 27/7 + 69/7*o**2.
-3*(o - 1)**2*(8*o + 3)**2/7
Let z(f) be the third derivative of -f**6/80 + f**5/8 - 7*f**4/16 + 3*f**3/4 + 10*f**2 - 2. Find p such that z(p) = 0.
1, 3
Let g(p) be the first derivative of 50*p**6/3 + 104*p**5 - 116*p**4 + 32*p**3 + 283. Factor g(u).
4*u**2*(u + 6)*(5*u - 2)**2
Suppose 0 = d - l - 1, -4*d - 4 = 2*l - 14. Suppose 5*n = d*n + 2*q + 2, 2*q = 4*n - 2. What is m in -2 + n*m**3 + m**4 + 2 + m**3 = 0?
-1, 0
Let l(c) be the third derivative of -c**5/30 + c**4/4 + 6*c**3 - 19*c**2 - 1. Factor l(s).
-2*(s - 6)*(s + 3)
Let n(t) be the third derivative of 9*t**2 + 1/15*t**6 + 0*t + 11/30*t**5 + 3/2*t**3 + t**4 + 1/210*t**7 + 0. Let n(q) = 0. Calculate q.
-3, -1
Let s(j) be the third derivative of -j**5/60 + 12*j**4 - 3456*j**3 - 410*j**2. Let s(c) = 0. What is c?
144
Let g be 5/45*(-2)/(-81). Let f = 2906/3645 + g. Factor f*j + 2/5 + 2/5*j**2.
2*(j + 1)**2/5
Solve 0 - 5/6