7*k + 2)
Factor 0*u - 2/3*u**2 + 8/9 + 2/9*u**3.
2*(u - 2)**2*(u + 1)/9
Let n(b) be the second derivative of b**4/28 + 5*b**3/14 + 6*b + 7. Solve n(h) = 0 for h.
-5, 0
Let f(h) be the third derivative of h**8/588 + 8*h**7/245 - 59*h**6/210 + 26*h**5/35 - 16*h**4/21 - 743*h**2. Find y such that f(y) = 0.
-16, 0, 1, 2
Let d = 61 - 66. Let o = -5 - d. What is v in -2/9*v**2 - 2/9*v + o = 0?
-1, 0
Let l(b) be the first derivative of b**4/18 + 2*b**3/9 - 4*b**2/9 - 76. Find v, given that l(v) = 0.
-4, 0, 1
Let b = -213 + 215. Let n(h) be the second derivative of 0*h**4 - 1/75*h**6 + 0*h**3 - 1/50*h**5 - 3*h + 0*h**b + 0. Factor n(m).
-2*m**3*(m + 1)/5
Let v = -4 + 7. Suppose -3*c - 12 = -5*o + 3, -3*c = -o + 3. Factor 27*x - 3*x - 6*x**v + 16 + 12*x**2 + 8*x**o.
2*(x + 2)**3
Let j = -21 + 23. Factor -5*s**2 - 2*s**j + 9*s**2.
2*s**2
Let y(u) be the third derivative of u**6/300 + u**5/75 + u**4/60 - 2*u**2 + 20. Solve y(q) = 0 for q.
-1, 0
Let p(u) be the second derivative of -2*u**4/45 - 11*u**3/45 - 2*u**2/5 - 197*u. Determine t, given that p(t) = 0.
-2, -3/4
Let p(w) = w - 1. Let a be p(7). Let v be ((-3)/a)/(1/(-2)). Factor 8*l - 2*l - 10 - l**2 + v.
-(l - 3)**2
Let m(x) = -x**2 + 3*x. Let z(k) = k**3 - 9*k**2 - k + 64. Let y(s) = -10*m(s) + 2*z(s). What is p in y(p) = 0?
-4, 4
Let t be 1 + 0 + 4/(6 - -2). Let i(p) be the second derivative of 0 - 7*p - 3*p**3 + t*p**2 + 9/4*p**4. Suppose i(o) = 0. Calculate o.
1/3
Suppose 11*d - 13*d - 12 = -4*p, -2*d = 4*p - 20. Suppose 32/9*j**p + 0*j**3 - 34/9*j**2 + 0*j + 2/9 = 0. Calculate j.
-1, -1/4, 1/4, 1
Factor -132*g - 4/3*g**3 + 484/3 - 28*g**2.
-4*(g - 1)*(g + 11)**2/3
Let i be 7 - (-5)/(15/(-9)). Suppose 53 = 7*j + 18. Determine m, given that 2/9*m**3 + 10/9*m**i - 2/3*m**j - 10/9*m**2 + 0 + 4/9*m = 0.
-1, 0, 2/3, 1
Let c = 2997/28 - 744/7. Suppose 5*y - 2*k = y - 6, -3 = -2*y - k. Factor -3*w**4 - 3/2*w**2 - c*w**5 + y*w - 15/4*w**3 + 0.
-3*w**2*(w + 1)**2*(w + 2)/4
Let c(g) be the third derivative of 0*g + 1/18*g**4 - 1/45*g**5 - 2*g**2 + 4/3*g**3 + 0. Factor c(d).
-4*(d - 3)*(d + 2)/3
Let h be (2/4 - -2)*432/405. Factor 0 - h*f**2 + 2*f + 2/3*f**3.
2*f*(f - 3)*(f - 1)/3
Let n(y) be the first derivative of y**6/45 + 4*y**5/75 + y**4/30 - 44. Determine t so that n(t) = 0.
-1, 0
Factor 3*h**3 - 2333*h - 4*h**4 + 2*h**2 + 2*h**4 + h**3 + 2330*h - h**5.
-h*(h - 1)**2*(h + 1)*(h + 3)
Factor 138/5*d**2 + 3/5*d**4 + 36/5*d - 216/5 + 39/5*d**3.
3*(d - 1)*(d + 2)*(d + 6)**2/5
Let k be (-3402)/(-15) + 12/(-15). Let r = -347/2 + k. Determine l so that 3/2*l**4 + 0 + 75/2*l + r*l**2 + 33/2*l**3 = 0.
-5, -1, 0
Let s(b) be the third derivative of -b**8/560 - 3*b**7/350 + b**6/200 + 7*b**5/100 - 2*b**3/5 + 43*b**2. Find r such that s(r) = 0.
-2, -1, 1
Let a(k) be the third derivative of -k**8/6720 - k**7/504 - 7*k**6/720 - k**5/40 - 19*k**4/24 + 2*k**2. Let j(t) be the second derivative of a(t). Factor j(g).
-(g + 1)**2*(g + 3)
Let f(s) = -7 + 2*s + 12 - 6 + 4*s**2 + s**3. Let g be f(-2). Factor 0 - 3/4*j**5 - 3/4*j**4 + 3/4*j**2 + 3/4*j**g + 0*j.
-3*j**2*(j - 1)*(j + 1)**2/4
Let k = -4506 + 4508. Factor -4/3*i + 2/3 + 2/3*i**k.
2*(i - 1)**2/3
Factor -4*i - 3*i + 20*i**2 + 4*i**4 + 16*i**3 + 0*i + 15*i.
4*i*(i + 1)**2*(i + 2)
What is x in 111/2*x**2 - 9/2 - 33/4*x + 117/4*x**3 = 0?
-2, -3/13, 1/3
Factor -72/7 - 69/7*g + 3/7*g**2.
3*(g - 24)*(g + 1)/7
Let c(k) = -2*k**2 + 2*k - 4. Let l(n) = n. Suppose 4 = -2*o, m = 2*o + 7 - 0. Suppose 0 = m*t - 0*t - 12. Let u(r) = t*l(r) + c(r). Factor u(w).
-2*(w - 2)*(w - 1)
Let p be 2 + (-45)/(-30)*(-38)/12. Let u = -39/20 - p. Factor 4/5*l - 8/5 + u*l**2.
4*(l - 1)*(l + 2)/5
Let w(n) be the second derivative of n**4/36 - 2*n**2/3 - 2*n - 35. Factor w(t).
(t - 2)*(t + 2)/3
Let y(h) be the first derivative of -5*h**6/27 - 8*h**5/45 + 11*h**4/3 - 16*h**3/27 - 61*h**2/9 + 8*h/3 - 93. Find c such that y(c) = 0.
-4, -1, 1/5, 1, 3
Let m(g) be the third derivative of -11*g**2 + 10/3*g**4 + 0 + 0*g + 1/5*g**5 + 8*g**3. Solve m(r) = 0.
-6, -2/3
Let l(u) be the first derivative of 300*u**4 + 340*u**3 + 144*u**2 + 27*u + 29. Factor l(t).
3*(4*t + 1)*(10*t + 3)**2
Determine v, given that -110*v - 25*v**4 - 1553*v**3 - 2*v**2 + 1663*v**3 - 13*v**2 + 40 = 0.
-1, 2/5, 1, 4
Let q(b) = -b**2 - 91*b + 171. Let d(y) = -y + 5. Let w be d(-6). Let f(h) = h**2 + 46*h - 86. Let o(v) = w*f(v) + 6*q(v). Factor o(m).
5*(m - 4)**2
Let a = 11 + 1. Suppose 8*d - a*d + 68 = 0. Factor -4*m + 25 - d + 4*m**3 - 8*m**2 + 0*m.
4*(m - 2)*(m - 1)*(m + 1)
Solve 8/3*n**2 + 0 + 16/9*n + 4/9*n**3 - 2/9*n**5 - 2/3*n**4 = 0.
-2, -1, 0, 2
Let r = -3226 + 3231. Suppose 58/15*n**4 + 0 + 6/5*n**r - 24/5*n**2 - 16/15*n + 4/5*n**3 = 0. Calculate n.
-2, -2/9, 0, 1
Let z be (-8)/(-336)*6 + 11/21. Factor 4/3*x + 0 - z*x**2.
-2*x*(x - 2)/3
Let k(o) be the first derivative of -2*o**5/35 + 38*o**4/7 - 1300*o**3/7 + 2500*o**2 - 31250*o/7 + 11. Factor k(x).
-2*(x - 25)**3*(x - 1)/7
Let y(j) = 35*j**3 - 10*j**2 - 138*j + 42. Let z = -8 - -1. Let t(h) = 105*h**3 - 30*h**2 - 413*h + 127. Let w(i) = z*y(i) + 2*t(i). Let w(v) = 0. What is v?
-2, 2/7, 2
Factor 0*g**2 + 3*g**2 - 72*g + 220 - 151.
3*(g - 23)*(g - 1)
Let p(q) = -3*q**3 + 2*q**2 + 4*q + 1. Let a be p(-1). Let h be a*(-3 - 36/(-8)). Find g, given that 0*g - 2/7*g**h + 2/7*g**2 - 2/7*g**4 + 0 + 2/7*g**5 = 0.
-1, 0, 1
Let k be (-1302)/(-2142) - 3/(-51). What is n in 2 + 8/3*n + k*n**2 = 0?
-3, -1
Let u(n) be the first derivative of 17*n**2 - 6*n - 243/40*n**5 - 73/3*n**3 + 18 + 9/16*n**6 + 18*n**4. Factor u(w).
(w - 6)*(w - 1)*(3*w - 2)**3/8
Factor -1458 - 1/2*s**2 - 54*s.
-(s + 54)**2/2
Let m(t) = -12*t**4 + 44*t**3 - 8*t**2 - 8*t - 8. Let n(p) = 8*p**4 - 29*p**3 + 6*p**2 + 5*p + 5. Let z(l) = -5*m(l) - 8*n(l). Factor z(h).
-4*h**2*(h - 2)*(h - 1)
Let z be ((-10)/(-16))/((-6)/(-10)*200/144). Solve -3/4*j - z*j**3 + 0 - 3/2*j**2 = 0 for j.
-1, 0
Let x(o) be the first derivative of -o**3 - 27*o**2 + 120*o + 98. Factor x(n).
-3*(n - 2)*(n + 20)
Let h = 717 - 30109/42. Let v(r) be the third derivative of 1/6*r**4 - h*r**7 + 5*r**2 + 3/8*r**6 - 2/5*r**5 + 0 + 0*r**3 + 0*r. Factor v(d).
-d*(d - 1)*(5*d - 2)**2
Suppose 4*v - 86 = 174. Let o = v - 62. Determine p, given that 0 - 8/7*p**2 + 8/7*p**o - 2/7*p**4 + 0*p = 0.
0, 2
Let f(c) = -3*c**4 + 16*c**3 + 24*c**2 - 2*c. Let t(j) = 10*j**4 - 49*j**3 - 68*j**2 + 7*j. Let i(q) = 7*f(q) + 2*t(q). Factor i(d).
-d**2*(d - 16)*(d + 2)
Let v be -3*(-5)/(-120)*(2 + -4). Let f(i) be the first derivative of v*i**4 + 0*i**3 + 0*i**2 + 0*i + 1/5*i**5 + 4. Factor f(d).
d**3*(d + 1)
Let a(c) be the second derivative of c**6/240 - c**4/12 + 9*c**2 - 13*c. Let y(r) be the first derivative of a(r). Factor y(h).
h*(h - 2)*(h + 2)/2
Let q(s) = 39*s**2 + 227*s + 51. Let n(c) = -79*c**2 - 455*c - 103. Let k(v) = -3*n(v) - 7*q(v). Let k(f) = 0. What is f?
-6, -2/9
Suppose 1/6*s**2 + 85/6*s + 0 = 0. What is s?
-85, 0
Let b(r) be the second derivative of 4/3*r**2 + 1/9*r**4 - 1/30*r**5 + 0 + 7/9*r**3 - 4*r. Find v, given that b(v) = 0.
-1, 4
Let h = 911/1113 - 180/371. Factor p**3 + 6 + h*p**4 - 7/3*p**2 - 5*p.
(p - 2)*(p - 1)*(p + 3)**2/3
Suppose -4*q + 20 = d, -20 = -3*q + d - 3*d. Let v(b) = b - 4. Let a be v(4). Factor 8*w**3 + 12*w**q - 10*w**2 - 4 + 2*w**2 + 3*w**5 + w**5 - 12*w + a*w.
4*(w - 1)*(w + 1)**4
Let p(r) be the third derivative of 31*r**2 + 0 - 8/315*r**7 + 0*r**4 + 0*r + 0*r**3 + 11/1512*r**8 + 1/36*r**6 - 1/135*r**5. Factor p(w).
2*w**2*(w - 1)**2*(11*w - 2)/9
Let i = 117/352 - -37197/2464. Suppose -4/7*s**3 - i*s + 108/7 + 36/7*s**2 = 0. Calculate s.
3
Let o be (-7)/(-2) - (28/(-8) - -4). What is i in -1 + 3 + i**2 - i**o - 3 + i = 0?
-1, 1
Suppose 2*w**2 + 0 - 12/5*w - 2/5*w**5 - 2*w**4 + 14/5*w**3 = 0. Calculate w.
-6, -1, 0, 1
Let w(n) be the first derivative of -4*n**5/45 - 2*n**4/3 + 4*n**3/27 + 4*n**2/3 + 143. Suppose w(d) = 0. Calculate d.
-6, -1, 0, 1
Let q(f) be the second derivative of -f**6/45 - 2*f**5/15 + 11*f**4/18 - 2*f**3/3 - f - 28. Factor q(l).
-2*l*(l - 1)**2*(l + 6)/3
Suppose 0 = -17*a + 29*a - 24. Let o = -219 + 1099/5. Factor -o + 6/5*u - 2/5*u**a.
-2*(u - 2)*(u - 1)/5
Suppose g + 3 = 13. Suppose 1 + 2*x + 0 - 4*x**2 - g*x + 11 = 0. Calculate x.
-3, 1
Let l(p) be the third derivative of -p**7/1050 - p**6/200 +