 + 4*f - 235. Determine k so that g(k) = 0.
-4, -1, 4
Let s be 15 + (-54)/6 + -3 + 0. Factor 0 + 1/7*w - 3/7*w**2 + 3/7*w**s - 1/7*w**4.
-w*(w - 1)**3/7
Let b(m) be the second derivative of -m**7/168 + 9*m**6/8 - 1215*m**5/16 + 30375*m**4/16 + 206*m. Factor b(k).
-k**2*(k - 45)**3/4
Let k(f) be the first derivative of -3*f**5/20 - 9*f**4/16 + 21*f**3/2 - 75*f**2/2 + 54*f - 85. Factor k(i).
-3*(i - 2)**3*(i + 9)/4
Suppose -5928/5*m - 2/5*m**4 - 156/5*m**3 - 2888/5 - 3194/5*m**2 = 0. Calculate m.
-38, -1
Let g(l) be the first derivative of 0*l**2 - 1/5*l**3 + 0*l - 3/25*l**5 - 6 - 3/10*l**4. Suppose g(c) = 0. Calculate c.
-1, 0
Factor 0 - 1/3*p**2 - 14/3*p.
-p*(p + 14)/3
Factor 6/7*x**3 - 12/7*x - 22/7*x**2 + 16/7.
2*(x - 4)*(x + 1)*(3*x - 2)/7
Let p(r) be the second derivative of -15/8*r**4 + 10*r**3 + 0 + 1/8*r**5 - 25*r**2 - 44*r. Determine g so that p(g) = 0.
2, 5
Let p = -122 + 1103/9. Let l = 8/9 - p. Factor l*v + 1/3*v**2 + 0.
v*(v + 1)/3
Let g(k) = -k**2 + 2*k + 4. Let d be g(3). Let l be 3/1 + 3*d. Let -2*i**4 + 2*i**4 + 3*i**4 + l - 3*i**3 + 3*i - 9*i**2 = 0. Calculate i.
-1, 1, 2
Let y(d) be the third derivative of d**6/480 - 3*d**5/80 + 9*d**4/32 + 31*d**3/6 + 50*d**2. Let o(q) be the first derivative of y(q). Let o(v) = 0. Calculate v.
3
Let l(f) be the first derivative of 5/2*f**4 + 10/3*f**3 - 5/6*f**6 - 5/2*f**2 - 54 - 5*f - f**5. Factor l(d).
-5*(d - 1)**2*(d + 1)**3
Factor 2/3*h**3 + 0 + 4/3*h**2 + 0*h.
2*h**2*(h + 2)/3
Let w(h) be the second derivative of h**4/114 + 2*h**3/57 - 22*h. Factor w(u).
2*u*(u + 2)/19
Let f(u) = -14*u**2 - 3*u + 3. Let q be f(1). Let t be (-8)/q - (-2)/70. Factor -t + 1/5*c**2 - 2/5*c.
(c - 3)*(c + 1)/5
Let d(o) be the first derivative of 0*o**3 + 3 + 0*o**4 + 0*o**2 + 1/80*o**5 + 5*o. Let a(z) be the first derivative of d(z). What is m in a(m) = 0?
0
Let m(x) be the first derivative of -x**9/252 + 9*x**8/560 - x**7/140 - 44*x**3/3 + 21. Let q(w) be the third derivative of m(w). Let q(b) = 0. What is b?
0, 1/4, 2
Let g(f) be the second derivative of -2/9*f**4 + 0*f**2 + 0*f**5 - 4*f + 2/9*f**3 + 4/45*f**6 - 2/63*f**7 + 0. Factor g(d).
-4*d*(d - 1)**3*(d + 1)/3
Let l be (-3 + 5)/((-3)/24). Let w = l - -18. Suppose 3*j**4 - w*j**5 - 3*j**4 + 4*j**3 - 168*j + 166*j = 0. Calculate j.
-1, 0, 1
Let k = -1 + 3. Suppose 5*w = k*w. Factor -1/2*j**3 + w + 0*j + 1/2*j**2.
-j**2*(j - 1)/2
Let w be (3/(13 - -2))/1. Let f be (-82)/(-10) + (-1072)/134. Find h such that 0*h - w + f*h**2 = 0.
-1, 1
Let l(s) be the second derivative of 0 - 1/140*s**5 - 2*s + 1/21*s**3 + 0*s**2 - 1/84*s**4. Solve l(u) = 0.
-2, 0, 1
Let o be (-3)/(6/(-4)) - -2. Let i(p) = 4 + p**3 - 2 - p**2 - o*p**3. Let u(r) = -r**3 - r**2 + 1. Let f(a) = i(a) - 2*u(a). Factor f(h).
-h**2*(h - 1)
Let u be ((-14)/70)/((-1)/10). Suppose 4*j = -u*r, -3*r + 5*j = -5 - 17. Factor 0 - 1/4*y**r + 1/4*y**5 - 1/4*y**3 + 0*y + 1/4*y**2.
y**2*(y - 1)**2*(y + 1)/4
Suppose 2*r = -2*r - 4. Let p be 2 + (r - -2)*2. What is b in -2*b**3 - 2/5*b - 8/5*b**2 - 4/5*b**p + 0 = 0?
-1, -1/2, 0
Let s(o) be the second derivative of -o**5/10 + o**4/6 + o**3/3 - o**2 - 28*o. Factor s(c).
-2*(c - 1)**2*(c + 1)
Let w(b) be the second derivative of -b**6/45 - b**5/15 + 2*b**3/9 + b**2/3 + 79*b - 1. Factor w(d).
-2*(d - 1)*(d + 1)**3/3
Find d, given that 58/3*d**2 + 16/3 - 52/3*d - 2/3*d**4 + 2/3*d**5 - 22/3*d**3 = 0.
-4, 1, 2
Let d(p) be the third derivative of -p**5/60 + 5*p**4/12 + 2*p**3/3 - 3*p**2. Let k be d(10). Factor -8*y**2 + k*y**2 + 9*y**3 - 7*y**3 + 2*y.
2*y*(y - 1)**2
Let i(k) be the third derivative of k**8/560 - 2*k**7/175 + 7*k**5/50 - 17*k**4/40 + 3*k**3/5 - 4*k**2 + 7*k. Suppose i(o) = 0. What is o?
-2, 1, 3
Let j(f) be the first derivative of 2*f**3 + 65*f**2/3 + 28*f/3 + 54. Factor j(d).
2*(d + 7)*(9*d + 2)/3
Let v(m) be the second derivative of m**7/84 - 2*m**6/15 + 11*m**5/20 - m**4 + 3*m**3/4 + 31*m + 2. Determine d so that v(d) = 0.
0, 1, 3
Let m be 7 - ((-17)/((-68)/(-24)) - -8). Solve 1 - 23/4*c**4 - c - c**m - 35/4*c**2 - 23/2*c**3 = 0.
-2, -1, 1/4
Let m(x) be the second derivative of -x**4/54 - 2*x**3/9 + 16*x**2/9 + x + 34. Factor m(k).
-2*(k - 2)*(k + 8)/9
Let f(i) = 3*i**4 - 36*i**3 - 30*i**2 + 804*i - 723. Let b(l) = 2*l**4 - 37*l**3 - 31*l**2 + 805*l - 724. Let p(m) = -6*b(m) + 5*f(m). Factor p(g).
3*(g - 3)*(g - 1)*(g + 9)**2
Suppose -2*p + 1 = 3. Let c(q) = q**4 + q**3 - q**2 + q + 1. Let h(a) = 5*a**4 + 8*a**3 - 7*a**2 + 6*a + 6. Let m(k) = p*h(k) + 6*c(k). Factor m(t).
t**2*(t - 1)**2
Let v(z) = 149*z**2 + 596*z. Let w be v(-4). Find n, given that -20/3*n**4 + 5/3*n**5 + 0 - 10/3*n**2 + w*n + 25/3*n**3 = 0.
0, 1, 2
Let n = 1622 + -1616. Let a(s) be the second derivative of 6*s + 0*s**4 - 1/105*s**n + 0*s**3 + 0 + 0*s**2 - 1/70*s**5. Factor a(v).
-2*v**3*(v + 1)/7
Let b(c) be the second derivative of 6*c + 0 - c**3 + 1/40*c**5 - 1/2*c**4 - 2*c**2 + 1/40*c**6. Let i(r) be the first derivative of b(r). Factor i(z).
3*(z - 2)*(z + 2)*(2*z + 1)/2
Let w(j) = -6*j**4 + 8*j**3 - 14*j**2. Let u(o) = -13*o**4 + 16*o**3 - 29*o**2 - o. Suppose -60*c + 51*c - 81 = 0. Let z(g) = c*w(g) + 4*u(g). Factor z(m).
2*m*(m - 2)*(m - 1)**2
Let f(l) be the second derivative of l**4/9 + 32*l**3/9 + 10*l**2 + 66*l. Find p, given that f(p) = 0.
-15, -1
Let v(b) be the first derivative of 0*b**6 - 4*b - 1/21*b**7 - 1/3*b**3 + 1/5*b**5 + 2 + 0*b**2 + 0*b**4. Let j(s) be the first derivative of v(s). Factor j(m).
-2*m*(m - 1)**2*(m + 1)**2
Let y(r) = -r**2 + 9*r - 18. Let u be (12/9)/(10/30). Let a be y(u). Factor 16/3 + 32/3*w + 4/3*w**3 + 20/3*w**a.
4*(w + 1)*(w + 2)**2/3
Let f = 89 + -87. Factor -24*j**2 - 1227 + 1237 + 25*j + 9*j**f.
-5*(j - 2)*(3*j + 1)
Let m = -123 + 102. Let n = m + 23. Find h, given that 0 - 1/3*h**4 - 2/3*h**3 - 1/3*h**n + 0*h = 0.
-1, 0
Determine o so that 2/13*o**2 + 2*o - 60/13 = 0.
-15, 2
Let n = 80 - 263. Let r = n - -186. Determine t so that 1/6*t - 1/3*t**r + 0 + 1/6*t**2 = 0.
-1/2, 0, 1
Let q be (-6)/(-4) - (3/2 - 1). Let y = q + -1. Solve 0*x**2 + y*x - 2/5*x**4 - 1/5*x**3 - 1/5*x**5 + 0 = 0.
-1, 0
Let k = 146 + -146. Let f(j) be the second derivative of 2*j - 1/70*j**6 + 0 - 1/14*j**3 + 3/140*j**5 + k*j**2 + 1/28*j**4. Solve f(r) = 0.
-1, 0, 1
Let o(q) = -1 + 3*q - q + q**3 + 0*q**2 + q**4 - q**2 - 3*q. Let t(u) = u**5 + 8*u**4 + 15*u**3 + 10*u**2 + 2*u - 2. Let r(l) = -2*o(l) + t(l). Factor r(p).
p*(p + 1)**2*(p + 2)**2
Find p, given that 10/3*p**2 - 344/3*p + 136/3 = 0.
2/5, 34
Let r(j) be the first derivative of -j**3/15 - 6*j**2/5 - 11*j/5 - 92. Factor r(t).
-(t + 1)*(t + 11)/5
Suppose 19 = 6*r + 5*l, -2*l = 4*r - 53 + 39. Let n be (-2 - (-6)/4)/(-1). Determine d so that -d**3 + 0*d + 0 + n*d**r + 1/2*d**2 = 0.
0, 1
Let x = 38 - 36. Find s such that 11*s + 0*s**2 - 5*s**2 - x*s**3 + 2*s**4 + s**2 - 10*s + s**5 + 2 = 0.
-2, -1, 1
Suppose 10*d - 3*k - 29 = 5*d, -4*k = 12. Let q(x) be the second derivative of 6*x - 1/6*x**5 + 0*x**2 + 2/9*x**3 + 0 + 1/6*x**d. Factor q(a).
-2*a*(a - 1)*(5*a + 2)/3
Determine f so that 64/5 + 4/5*f**4 + 42/5*f**3 + 192/5*f + 148/5*f**2 = 0.
-4, -2, -1/2
Let b be (7 + 0 + -7)/(-1). Let k(x) be the third derivative of -6*x**2 - 2/39*x**3 + 0*x**5 + b - 1/52*x**4 + 1/780*x**6 + 0*x. Factor k(c).
2*(c - 2)*(c + 1)**2/13
Let p(l) be the second derivative of l**10/166320 + l**9/41580 + l**8/36960 - 13*l**4/12 - 10*l. Let a(f) be the third derivative of p(f). Factor a(d).
2*d**3*(d + 1)**2/11
Let o = -76/41 + 1000/451. Suppose 2/11*q**4 + 6/11*q - 6/11*q**3 - o + 2/11*q**2 = 0. What is q?
-1, 1, 2
Let d be ((-66)/(-18))/((-1)/(-3)). Factor d*n**2 - 3*n - 26*n**2 + 12*n**2.
-3*n*(n + 1)
Let o(z) be the second derivative of 5*z**7/63 + 22*z**6/45 + z**5/10 - 41*z**4/9 - 92*z**3/9 - 8*z**2 + 2*z - 56. Let o(j) = 0. What is j?
-3, -2, -1, -2/5, 2
Factor 2*y - 2/5*y**2 + 12/5.
-2*(y - 6)*(y + 1)/5
Let w(s) be the third derivative of -s**7/1260 + s**6/72 - 7*s**4/24 + 29*s**2. Let d(y) be the second derivative of w(y). Suppose d(x) = 0. Calculate x.
0, 5
Let u = 13153/52644 + 2/13161. Factor -1/4 + 1/4*t**2 + u*t**3 - 1/4*t.
(t - 1)*(t + 1)**2/4
Let a(l) be the third derivative of l**9/30240 - l**8/5040 - l**7/315 + 7*l**5/60 - l**2. Let i(p) be the third derivative of a(p). Suppose i(u) = 0. What is u?
-2, 0, 4
Le