 14*v**3 + 4*v**2 - 12*v**r + v.
2*v*(v + 1)**2
Suppose 3*u + 5*a - 8*a = 3, 2*u + 7 = 5*a. Let t(p) be the first derivative of -5/6*p**6 - 5/2*p**2 + 10/3*p**3 - 5*p + 5/2*p**u + 8 - p**5. Factor t(r).
-5*(r - 1)**2*(r + 1)**3
Let h(i) be the second derivative of -i**4/48 - 217*i**3/12 - 47089*i**2/8 - 7*i - 38. Determine m, given that h(m) = 0.
-217
Let r(s) be the third derivative of -s**7/735 + 2*s**6/105 - s**5/105 - 20*s**4/21 + 25*s**3/7 - 9*s**2 + s. What is i in r(i) = 0?
-3, 1, 5
Let h(l) be the first derivative of 76/3*l**3 - 11 - 12*l**2 + 0*l - 15*l**4. Factor h(j).
-4*j*(3*j - 2)*(5*j - 3)
Find s such that 34*s**4 - 3872/5 - 670*s**3 - 2/5*s**5 - 2218*s**2 - 2288*s = 0.
-1, 44
Suppose 3*t - 298 = 2*p + 7*t, -t = 2*p + 289. Let v be p/(-195) - 2/6. Factor -v*b**2 + 0*b + 8/5.
-2*(b - 2)*(b + 2)/5
Suppose -15 = -4*z + s, 4*z = 3*z - 4*s + 8. Suppose -6 = l - z*l. Solve 0*t**4 - l*t**3 - 5*t**4 + 0*t**3 = 0 for t.
-2/5, 0
Let x(q) be the first derivative of -q**4/48 + 13*q**3/12 - 169*q**2/8 - 19*q - 33. Let b(h) be the first derivative of x(h). Find t such that b(t) = 0.
13
Suppose -48 - 1478 = -479*y - 89. Determine z so that 6/5 + 2/5*z - 6/5*z**2 - 2/5*z**y = 0.
-3, -1, 1
Let d(z) be the first derivative of -z**4/30 + 28*z**3/45 - 5*z**2/3 + 8*z/5 + 31. Determine m, given that d(m) = 0.
1, 12
Let o be 16/9*((-236)/(-32) + -7). Factor -o*k**2 - 1/9*k**4 - 1/9 - 4/9*k - 4/9*k**3.
-(k + 1)**4/9
Determine j, given that 0*j**4 - 27/2*j + 0*j**2 + 15*j**3 - 3/2*j**5 + 0 = 0.
-3, -1, 0, 1, 3
Factor -1/2*k**3 - 2*k**2 - 2*k + 0.
-k*(k + 2)**2/2
Let i(g) = -3*g**2 - 34*g - 27. Let n(d) = 30*d**2 + 342*d + 270. Let w(m) = 21*i(m) + 2*n(m). Factor w(f).
-3*(f + 1)*(f + 9)
Let g be (18/12)/(6/((-96)/(-20))). Factor 2/5*m**2 + g*m + 0.
2*m*(m + 3)/5
Let o(d) = 139*d - 1248. Let p be o(9). Determine l, given that -1/2*l**4 - 1 + 7/2*l - 9/2*l**2 + 5/2*l**p = 0.
1, 2
Let n be (-3)/(-1785)*329 - ((-12)/15 - -1). Factor -2/17 + 8/17*x**2 + n*x.
2*(x + 1)*(4*x - 1)/17
Let w(o) be the third derivative of o**8/896 - o**7/112 + o**6/64 + o**5/32 - 3*o**4/32 - 2*o**2 - 11*o. Suppose w(i) = 0. Calculate i.
-1, 0, 1, 2, 3
Let t = -82 - -186. Let u = 106 - t. Factor -2/9 - 2/3*f**u - 2/9*f**3 - 2/3*f.
-2*(f + 1)**3/9
Suppose 5*u + 15 = 5*g, -12 = -5*g + 20*u - 16*u. Factor -1/2*m**4 - 1/2*m**3 + 1/2*m + 1/2*m**2 + g.
-m*(m - 1)*(m + 1)**2/2
Let m(w) be the second derivative of w**6/60 - w**5/8 + 7*w**4/24 - w**3/4 + 30*w. Determine z so that m(z) = 0.
0, 1, 3
Suppose -1 = -5*j + 4. Suppose 0 = -2*p + 3*u + 16, 3*u + j + 9 = -p. Factor 3*r + 4*r**2 + 5*r**2 - 13*r**p - 11*r.
-4*r*(r + 2)
Let y(g) be the third derivative of g**7/140 - 3*g**6/80 + g**5/20 + 86*g**2. Factor y(h).
3*h**2*(h - 2)*(h - 1)/2
Let b = 32807 + -65609/2. Factor -1/2*i**3 + b*i + 3 - i**2.
-(i - 2)*(i + 1)*(i + 3)/2
Suppose 62*h - 208 = -84. Factor -k**4 + 0 - 1/3*k**5 - 2/3*k**3 + 0*k + 0*k**h.
-k**3*(k + 1)*(k + 2)/3
Let k be (-1)/2*6 - -3 - -15. What is a in k*a**3 - 13*a + 25*a**4 + 13*a = 0?
-3/5, 0
Let n be 11 - 22 - (-713)/62. Let c = 89/2 - 43. Determine r so that 2*r**2 + c*r**3 - n*r - 1 = 0.
-1, 2/3
Let i(b) be the first derivative of -2*b**4 + 0*b**2 + 11 - 4/3*b**3 - 4/5*b**5 + 0*b. Solve i(g) = 0 for g.
-1, 0
Let p(v) be the second derivative of -5*v**4/12 + 45*v**3 - 3645*v**2/2 + 7*v - 14. Find t, given that p(t) = 0.
27
Let m be 1/(-2)*2*13. Let h = -23/2 - m. Factor -h + 9/4*i**2 - 3/4*i.
3*(i - 1)*(3*i + 2)/4
Let t(k) be the first derivative of -7*k**6/90 - k**5/10 + 2*k**4/3 - 5*k**3/3 + 49. Let d(z) be the third derivative of t(z). Solve d(s) = 0 for s.
-1, 4/7
Let a(r) be the first derivative of r**3/12 + r**2/8 - 3*r/2 - 491. Factor a(x).
(x - 2)*(x + 3)/4
Let p(q) be the third derivative of -q**5/270 + 17*q**4/54 - 64*q**3/27 - 5*q**2 + 4*q. Factor p(m).
-2*(m - 32)*(m - 2)/9
Let s be 36/864*(4 + 77). Solve 9/4*p**2 - s*p - 3/8*p**3 + 0 = 0.
0, 3
Let s be -14 + 24*(-660)/(-1125). Let 0 - s*h**2 + 6/25*h = 0. Calculate h.
0, 3
Let m = 1/3935 + 106241/15740. Let -9/2*p**2 - m*p - 3/4*p**3 + 0 = 0. What is p?
-3, 0
Let m(x) = 2*x**2 - 4*x - 3. Let l be m(5). Solve 15*i**2 - 16 - 6*i**2 - l*i - 25*i + 5*i**2 = 0.
-2/7, 4
Let c be (20/(-9 + 4))/2 - -4. Let f be -25*(4/2 + -3). Factor -f*x**2 + 2 + 6*x + 7 + 22*x**c.
-3*(x - 3)*(x + 1)
Let c be 0 + 2 - (3 + -4). What is g in -68*g + 20*g**2 - 10*g**c - 15 - 3*g**4 - 2*g**4 + 78*g = 0?
-3, -1, 1
Let -1/5*t**2 + 12/5 + 1/5*t = 0. Calculate t.
-3, 4
Let k(x) = 4*x**2 + 29. Let f(h) = h**2 - 2*h + 1. Let c(n) = -15*f(n) + 3*k(n). Solve c(o) = 0.
-2, 12
Let v(z) be the third derivative of 0*z + 0 + 0*z**5 + 0*z**3 + 0*z**4 + 1/480*z**6 + 15*z**2. Factor v(r).
r**3/4
Suppose -8*j = 211 - 147. Let w be (2/j - (-1)/4)/1. Solve w + 0*g**4 - 2/3*g**5 + 0*g + 0*g**2 + 2/3*g**3 = 0.
-1, 0, 1
Let l(q) be the second derivative of -q**5/5 - 2*q**4 - 10*q**3/3 + 59*q. Factor l(u).
-4*u*(u + 1)*(u + 5)
Determine w so that -84 + 3/4*w**5 + 180*w - 45/4*w**4 + 60*w**3 - 150*w**2 = 0.
2, 7
Factor -88/5*j**3 + 288/5*j**2 - 4/5*j**4 - 296/5*j + 20.
-4*(j - 1)**3*(j + 25)/5
Suppose -13*h - 167 = -88*h - 17. Suppose -4*u = -3*u. Find x such that 2/13*x**h + u + 4/13*x = 0.
-2, 0
Suppose 18 = -0*b + 6*b. Find p, given that 3 - 119*p + 128*p + 3 - 3*p**b = 0.
-1, 2
Factor -2/21*h**2 - 10/21*h - 8/21.
-2*(h + 1)*(h + 4)/21
Let u be (-54)/(-15) + 8/20. Suppose 2*l**3 - 3*l**4 + 31*l**u - 2*l**3 - 8*l**3 = 0. What is l?
0, 2/7
Let y(u) be the third derivative of 0*u + 0*u**3 + 1/273*u**7 + 0*u**5 + 1/1092*u**8 + 0*u**4 - 16*u**2 + 0 + 1/260*u**6. Factor y(t).
2*t**3*(t + 1)*(2*t + 3)/13
Solve 0*r**4 + 240*r**2 + r**3 + 31*r**3 - 65*r + 16*r**3 + 321*r - 4*r**4 = 0 for r.
-2, 0, 16
What is n in 19*n + 4*n**2 + 17*n + 19*n - 19*n + 8*n = 0?
-11, 0
Let i(w) be the second derivative of -w**5/20 - w**4 - 41*w**3/6 - 15*w**2 - 6*w - 7. Factor i(a).
-(a + 1)*(a + 5)*(a + 6)
Determine r, given that -48/5 - 16/5*r**3 - 2*r**4 + 118/5*r**2 + 76/5*r = 0.
-4, -1, 2/5, 3
Let v = 341 - 338. Let m(f) be the third derivative of 0*f**6 + 1/1848*f**8 - 1/165*f**5 + 0*f + 0*f**3 + 2/1155*f**7 + 0 - v*f**2 - 1/132*f**4. Factor m(p).
2*p*(p - 1)*(p + 1)**3/11
Let l(v) be the first derivative of 64/5*v - 4/5*v**4 + 3 - 4/25*v**5 + 0*v**3 + 32/5*v**2. Factor l(z).
-4*(z - 2)*(z + 2)**3/5
Let d(s) be the first derivative of 3*s**6 - 78*s**5/5 + 67*s**4/2 - 38*s**3 + 24*s**2 - 8*s + 646. Factor d(j).
2*(j - 1)**3*(3*j - 2)**2
Determine b, given that 3/7*b**4 + 0 + 0*b - 12/7*b**2 + 0*b**3 = 0.
-2, 0, 2
Let a be 3/5 + (-2)/(-10)*-3. Solve a + 2*i + 9 + 2*i**3 + 4*i**2 - 9 = 0.
-1, 0
Let x(d) be the first derivative of 0*d**2 + 0*d + 3/20*d**5 - 3/8*d**4 + 3 - 1/4*d**3 + 1/4*d**6. What is b in x(b) = 0?
-1, -1/2, 0, 1
Let w(x) be the third derivative of -x**7/525 + 13*x**6/300 + x**5/10 - 13*x**4/60 - 14*x**3/15 + 96*x**2. Let w(m) = 0. Calculate m.
-1, 1, 14
Let f = -69 - -65. Let l be 6 + -6 + (45/(-12) - f). Factor -2*s + 4 + l*s**2.
(s - 4)**2/4
Let b(j) be the first derivative of j**5/15 - 11*j**4/3 - 46*j**3/3 - 70*j**2/3 - 47*j/3 - 122. Find f such that b(f) = 0.
-1, 47
Let j be -2*(-2 + (-5)/(-10)). Determine r, given that -12*r - r**2 - 4*r - 73 + 77 - j*r**2 + 16*r**3 = 0.
-1, 1/4, 1
What is j in 0 - 78 + 12 - 54 - 27*j**4 - 678*j**2 - 333*j**3 - 492*j = 0?
-10, -1, -2/3
Let h(p) be the first derivative of 6*p + 27/2*p**2 + 4*p**3 + 24. Factor h(t).
3*(t + 2)*(4*t + 1)
Let y(j) = -j**2 - j. Let u(z) = 6*z - 11*z**2 + 2*z**4 - 10*z - 5*z. Let g(v) = u(v) - 5*y(v). Factor g(a).
2*a*(a - 2)*(a + 1)**2
Let d be 4*2/(-2) - (-306)/76. Let t = d - -605/114. Solve 0*u**4 - t*u**3 - 8/3*u**2 + 4/3*u**5 + 4*u + 8/3 = 0 for u.
-1, 1, 2
Let v be 4/(-8) - 62/(-4). Suppose -2*r + 7*r = v. Solve 2*u - 2*u - 4*u + u + r*u**2 = 0 for u.
0, 1
Factor -1/4*j - 5/4 + 1/4*j**3 + 5/4*j**2.
(j - 1)*(j + 1)*(j + 5)/4
Let f be 202/3*645/344. Let h = f - 124. Factor -h*s**2 - 1/2*s + 0 - 7/4*s**3.
-s*(s + 1)*(7*s + 2)/4
Suppose 2*p + 3*p = -4*g + 85, 36 = 2*g - 4*p. Suppose 0 = -t - 5*d + 17, -7*t + g = -3*t + 4*d. Factor 15*n**3 - 8*n**4 - t*n**4 - n**5 - 4*n**5.
-5*n**3*(n - 1)*(n + 3)
Suppose 0 = 15*v + 12*v - 81. Let g(s) be the third derivative of 1/30*s**5 + 0 + 0*s - 3*s**2 