be the third derivative of h(f). Factor v(m).
2*(m - 1)*(m + 1)*(3*m - 2)/3
Solve 29/3*l**3 + 1/3*l**2 - 1/3*l**4 + 0 - 29/3*l = 0 for l.
-1, 0, 1, 29
Let y(z) be the third derivative of -z**6/480 + 29*z**5/80 + 576*z**2. Factor y(o).
-o**2*(o - 87)/4
Let h(p) = -p**4 - p**3 + 2*p**2 - p + 1. Let z(u) = -2*u**4 - 2*u**3 + 2*u**2 - u + 1. Let c(w) = -h(w) + z(w). Factor c(o).
-o**3*(o + 1)
What is b in 2*b**4 + 64*b**4 - 363*b - 8*b**2 - 312*b**3 - 22*b**2 - 36*b**2 + 672*b**3 + 3*b**5 = 0?
-11, -1, 0, 1
Let h(n) = -n**2 - 570*n - 2261. Let j be h(-4). Factor s + 1/6*s**j + 0 + 7/6*s**2.
s*(s + 1)*(s + 6)/6
Let s(t) be the second derivative of t**5/60 + 5*t**4/12 + 25*t**3/6 - 15*t**2/2 + 3*t. Let k(m) be the first derivative of s(m). Find j such that k(j) = 0.
-5
Factor -1751 - 406*t + 7103 + 147*t + 4*t**2 - 157*t + 5464.
4*(t - 52)**2
Let r be (-12 - -22)/10*(-3)/(-1). Solve 24/11 - 24/11*f - 6/11*f**2 + 6/11*f**r = 0.
-2, 1, 2
Let h = -668 - -2018/3. Let d(g) be the second derivative of 0 - 5*g - 49/18*g**4 + h*g**3 - 3*g**2. Let d(v) = 0. What is v?
3/7
Let m(y) be the third derivative of y**7/35 + 13*y**6/60 + 13*y**5/30 + y**4/4 - y**2 - 32. Find i such that m(i) = 0.
-3, -1, -1/3, 0
Let u(g) be the second derivative of -g**6/75 - g**5/25 + 13*g**4/30 - 2*g**3/3 + 85*g. Factor u(l).
-2*l*(l - 2)*(l - 1)*(l + 5)/5
Let d be 2 - -1 - 3/(1 - 4). Factor 6*u**3 - 20*u + 12*u - d*u**2 + 0*u**5 + 5*u**4 + u**5.
u*(u - 1)*(u + 2)**3
Let n(l) = l**3 + 2*l**2 - 3*l - 5. Suppose 0 = -7*t + 10*t + 6. Let j be n(t). Find i such that -1/2*i**2 + 3/2*i - j = 0.
1, 2
Suppose 3*j - 45 = -0*j. Let r = -15 + j. What is f in 0*f**2 + 0 + 9*f - 6 + r - 3*f**2 = 0?
1, 2
Let g be 10/15 - (-20)/6. Suppose -5*f - g = 3*z, -3*f + 2 = -2*z + 12. Factor -2*k - 2 - 4*k**z + 6 - 3*k**3 + 5*k**3.
2*(k - 2)*(k - 1)*(k + 1)
Let l = -213937/50 + 4279. Let u = 6/25 + l. Suppose f - 3/4*f**2 + 1 + 1/4*f**4 - u*f**3 = 0. Calculate f.
-1, 2
Let v(s) be the first derivative of -12 + s**2 - 1/320*s**6 - 3/16*s**4 + 1/2*s**3 + 0*s + 3/80*s**5. Let x(y) be the second derivative of v(y). Factor x(h).
-3*(h - 2)**3/8
Suppose -5*y = 4*s - 273, 0*s = y - 3*s - 47. Solve -7*n**3 + 5*n**4 - y*n**2 + 37*n**3 - 33*n + 20 + 93*n + 118*n**2 = 0 for n.
-2, -1
Let y be ((-15)/(-10))/(3/6). Let f(v) = -11*v**3 + 7*v**2 - 24*v + 20. Let z(d) = -4*d**3 + 2*d**2 - 8*d + 7. Let g(h) = y*f(h) - 8*z(h). Factor g(a).
-(a - 2)**2*(a - 1)
Let a(u) = -14*u**2 + 16*u + 13. Let z(k) = -9*k**2 + 14*k + 14. Let t(x) = 2*a(x) - 3*z(x). Factor t(s).
-(s + 2)*(s + 8)
Let d(m) be the first derivative of m**3/6 - 5*m**2/4 + 2*m - 2. Factor d(v).
(v - 4)*(v - 1)/2
Let i(p) be the third derivative of p**6/40 - p**5/20 - p**4/2 + 2*p**3 + p**2 - 84*p. Factor i(v).
3*(v - 2)*(v - 1)*(v + 2)
Let z = -1 - -6. Suppose 23 = z*d - 2*r, 0*d - 5 = d + 2*r. Factor 3*t**d + 2*t**2 + 3*t**3 + t**2 - 3*t**4 - 6*t**2.
-3*t**2*(t - 1)**2
Let f(o) be the second derivative of o**5/15 - 13*o**4/12 - 3*o**3 - 11*o**2/6 - 327*o + 1. Factor f(v).
(v - 11)*(v + 1)*(4*v + 1)/3
Let t be (-15)/(-15)*(-6)/(-42). Let z(r) be the second derivative of t*r**3 + 0 + 1/42*r**4 - 9*r + 2/7*r**2. Factor z(f).
2*(f + 1)*(f + 2)/7
Suppose -71 + 32*r - 9 - 10*r**2 + 8*r**2 + 24 = 0. What is r?
2, 14
Suppose -8*u + 78 = 30. Let a(n) be the third derivative of -1/80*n**u + 0*n**3 + 0*n**4 - 1/420*n**7 - 1/60*n**5 - 10*n**2 + 0 + 0*n. Factor a(r).
-r**2*(r + 1)*(r + 2)/2
Let i = -23429 - -93793/4. Factor -32 + i*t**3 + 5/4*t**4 - 56*t + 135/2*t**2.
(t - 1)*(t + 8)**2*(5*t + 2)/4
Let n(d) be the third derivative of -d**5/30 - 68*d**4/15 - 36*d**3/5 - 12*d**2 + 12*d. Factor n(i).
-2*(i + 54)*(5*i + 2)/5
Let i(r) be the first derivative of -r**5/20 + r**4/8 + r**3/12 - r**2/4 + 96. Factor i(q).
-q*(q - 2)*(q - 1)*(q + 1)/4
Let h(k) = -k**3 - 11*k**2 + k + 11. Let p be h(-11). Suppose -2*r + 20 = -4*l, -15 = -p*r + 5*r + 3*l. Factor 0 + 2/5*b**2 + r*b.
2*b**2/5
Let r(f) be the second derivative of 0*f**2 + 0*f**3 + 9*f + 0 - 2/5*f**5 - 2/15*f**6 + 0*f**4. Determine b so that r(b) = 0.
-2, 0
Let n = 6780 - 6777. Find p such that 3*p**4 + 5/3 + 7*p + 34/3*p**2 + 26/3*p**n + 1/3*p**5 = 0.
-5, -1
Let d(u) be the second derivative of -u**7/42 - 7*u**6/30 - u**5/4 + 7*u**4/12 + u**3 + 2*u + 10. What is t in d(t) = 0?
-6, -1, 0, 1
Let t(p) be the first derivative of 0*p**5 + 0*p - 3 - 1/120*p**6 - 1/280*p**7 + 0*p**4 + 0*p**2 + p**3. Let c(u) be the third derivative of t(u). Factor c(x).
-3*x**2*(x + 1)
Let u(n) = n**5 - n**3 - n. Let w = 19 + -20. Let z(g) = -4*g**5 + g**4 + 6*g**3 - g**2 + g. Let b(a) = w*z(a) - 3*u(a). Find p, given that b(p) = 0.
-1, 0, 1, 2
Let s(q) be the first derivative of 1/3*q**6 + 0*q - 4 + 2/5*q**5 + 0*q**2 + 0*q**3 + 0*q**4. Factor s(z).
2*z**4*(z + 1)
Suppose 4*i - 3 = i. Let d be 4 - (i - 2*(-4)/(-16)). Let -1/2*b**4 - 9/2*b**2 - 5/2*b**3 - 1 - d*b = 0. Calculate b.
-2, -1
Let s(m) = -m**3 - m**2 - m + 2. Let a(f) = -23*f**2 + f - 2. Let h(y) = a(y) + s(y). Factor h(b).
-b**2*(b + 24)
Let n(h) = -28*h**2 - 56*h + 224. Let x(q) = 4*q**2 + 8*q - 32. Let s(j) = -j - 12. Let k be s(8). Let g(u) = k*x(u) - 3*n(u). Factor g(c).
4*(c - 2)*(c + 4)
Let p(j) be the second derivative of j**4/48 + 71*j**3/24 + 2*j - 88. Let p(w) = 0. Calculate w.
-71, 0
Suppose 4*f = f + 9. Let z = -2498/3 + 2578/3. Factor z*s + 8/3 + 78*s**2 + 54*s**f.
2*(s + 1)*(9*s + 2)**2/3
Let n(g) be the third derivative of -343*g**6/40 - 49*g**5/4 - 231*g**4/32 - 9*g**3/4 - 6*g**2 + g. Factor n(w).
-3*(7*w + 2)*(14*w + 3)**2/4
Let i(r) be the second derivative of -50/3*r**3 + 0 + 155/12*r**4 + 10*r**2 - 15/4*r**5 - r. Factor i(x).
-5*(x - 1)*(3*x - 2)*(5*x - 2)
What is k in 8162*k**3 - 112 - 1345*k**4 - 686*k**5 - 5108*k**2 - 2207*k**4 + 782*k**4 + 1272*k - 1832*k**4 + 1074*k**4 = 0?
-7, 2/7, 1
Suppose 2*h = -145 + 89. Let f be (7/(-49))/(-6*(-2)/h). Factor 2/9 - 1/9*x**3 - f*x**2 + 1/9*x**4 + 1/9*x.
(x - 2)*(x - 1)*(x + 1)**2/9
Factor 16*r**3 - 18688 - 4*r**4 - 12*r**2 + 18688.
-4*r**2*(r - 3)*(r - 1)
Suppose -i = 3*c - 17, 0*i - c = i - 7. Factor 0 + 2/3*j**3 + 0*j - 2/3*j**i.
2*j**2*(j - 1)/3
Let q(y) be the third derivative of -y**4/6 - 85*y**3/6 - 17*y**2 - 3. Let o be q(-22). Factor 3/4 + 1/4*z**o + 5/4*z**2 + 7/4*z.
(z + 1)**2*(z + 3)/4
Let x(h) = -2*h - 29. Let k be (5 - (11 - 2))*(-17)/(-4). Let p be x(k). Find r, given that -30*r**3 - 51/7*r - 27/7*r**p - 156/7*r**2 - 18*r**4 - 6/7 = 0.
-2, -1, -1/3
Let l(d) = 155*d**2 - 2075*d + 11660. Let k(w) = -11*w**2 + 148*w - 833. Let y(z) = -85*k(z) - 6*l(z). Solve y(a) = 0 for a.
13
Suppose -18 + 2 = -4*t. Suppose t*l = 18 - 10. Factor 2 - 2*k - 2*k**2 + 0 - l.
-2*k*(k + 1)
Solve -5*p**2 - 16*p + 19*p**3 + 7*p**2 + 14*p**2 + 8*p**2 - 4 - 20*p**4 - 3*p**3 = 0 for p.
-1, -1/5, 1
Let z(o) be the first derivative of o**7/294 - o**6/35 + 2*o**5/35 + 4*o**4/21 - 31*o**3/3 + 40. Let h(u) be the third derivative of z(u). Factor h(b).
4*(b - 2)**2*(5*b + 2)/7
Let k(p) be the first derivative of -2*p**3/39 + 10*p**2/13 - 42*p/13 + 194. Solve k(v) = 0 for v.
3, 7
Suppose 0*r + 18 = -4*r + i, -16 = 5*r + 2*i. Let z be r/(-28) - 26/(-14). Factor 4*c**z + 6*c + 3 + 1 - 2*c**2.
2*(c + 1)*(c + 2)
Let f(r) be the second derivative of r**6/180 - r**3/6 - 19*r. Let n(j) be the second derivative of f(j). Factor n(g).
2*g**2
Let d(n) be the second derivative of n**6/45 + n**5/24 + n**4/72 - 15*n - 4. Let d(p) = 0. What is p?
-1, -1/4, 0
Let q(u) be the second derivative of -1/3*u**4 - 38*u - 1/10*u**5 - 1/42*u**7 + 0*u**2 + 1/2*u**3 + 0 + 2/15*u**6. Factor q(y).
-y*(y - 3)*(y - 1)**2*(y + 1)
Let m be -6 + 115*6/105. What is i in -m*i - 6/7 + 2/7*i**2 = 0?
-1, 3
Let l be 0 - (21/(-6) + 2). Suppose 13*r - 16 = 9*r. Factor -3/2 + l*f**r + 0*f**2 - 3*f + 3*f**3.
3*(f - 1)*(f + 1)**3/2
Let n(y) = -y**3 - 109*y**2 + 690*y + 3. Let a be n(-115). Factor 68/7*k**2 + 0 + 20/7*k**a + 24/7*k.
4*k*(k + 3)*(5*k + 2)/7
Let m be ((52/16)/13)/((-10)/(-88)). Let v = -29/20 + m. Determine w, given that 1/4*w**5 + 0*w - v*w**4 + 3/4*w**3 + 0 - 1/4*w**2 = 0.
0, 1
Let j be 116/(-290) - (-38)/20. Factor -j*u**2 + 3*u - 3/2.
-3*(u - 1)**2/2
Solve -2*q**2 - 8/3 - 16/3*q + 4/3*q**3 + 2/3*q**4 = 0 for q.
-2, -1, 2
Suppose -45*z - 55*z - 23*z = -246. Solve 1/2*