 3*l = 0.
-1, 16
Let a(f) be the first derivative of -3*f**5/25 - 3*f**4/2 - 12*f**3/5 + 108*f**2/5 + 160. Factor a(g).
-3*g*(g - 2)*(g + 6)**2/5
Let c(x) be the first derivative of x**8/420 - x**7/70 + 2*x**5/15 - 11*x**3/3 - 11. Let p(d) be the third derivative of c(d). Find h such that p(h) = 0.
-1, 0, 2
Let s(g) be the first derivative of -1/30*g**5 + 0*g**3 - 1/135*g**6 - 5 + 0*g**2 - 1/27*g**4 + g. Let b(i) be the first derivative of s(i). Factor b(m).
-2*m**2*(m + 1)*(m + 2)/9
Suppose -3*a + 27*a - 3432 = 0. Let i = a - 425/3. Let 4/3*g**4 - i*g - 4/3*g**2 - g**5 + 0 + 7/3*g**3 = 0. What is g?
-1, -2/3, 0, 1, 2
Let w(d) = -3*d**2 - 30*d + 77. Let c(n) = 3*n**2 + 27*n - 76. Let s(j) = 5*c(j) + 4*w(j). Determine g so that s(g) = 0.
-8, 3
Suppose 0 + 0*g - 5/2*g**3 + 5*g**2 = 0. What is g?
0, 2
Let y(v) be the second derivative of -3*v**5/50 + 3*v**4/10 + 24*v**3/5 + 84*v**2/5 + 255*v. Factor y(c).
-6*(c - 7)*(c + 2)**2/5
Suppose -46*b = -37*b - 27. Solve -h - 6*h - 4*h**2 + 0*h + 5*h - 2*h**b = 0 for h.
-1, 0
Let k(j) be the first derivative of j**4/42 - 8*j**3/21 + 12*j**2/7 + 23*j + 38. Let p(n) be the first derivative of k(n). Let p(b) = 0. Calculate b.
2, 6
Let r(o) = o + 29. Let a be r(-17). Let -w + 4*w**2 - 2*w - w + a*w + 4 = 0. Calculate w.
-1
Let d(g) be the third derivative of g**8/10080 - g**7/1680 - g**6/2160 + g**5/240 + 9*g**3/2 - 46*g**2. Let i(j) be the first derivative of d(j). Factor i(k).
k*(k - 3)*(k - 1)*(k + 1)/6
Find t such that 9*t**2 + 0*t**2 - 108*t**5 + 2*t - 126*t**4 + 9*t**2 - t**3 - 4*t**2 - 5*t**3 = 0.
-1, -1/3, -1/6, 0, 1/3
Let q(n) = -n**2 - 16*n - 42. Let y be q(-6). Let 11*m**2 - 24*m - y*m**3 + 22*m**2 + 7*m**4 - 4*m**4 + 3*m**2 = 0. Calculate m.
0, 2
Let o be (-150)/2*(-73 - -1). Factor -55*d**4 - 67*d**3 - 5*d**5 - o*d**2 - 70*d**4 - 1445 - 1133*d**3 - 5035 - 10800*d.
-5*(d + 1)*(d + 6)**4
Let f(i) be the second derivative of -i**7/280 - i**6/120 + 8*i**3/3 + 14*i. Let l(t) be the second derivative of f(t). Factor l(p).
-3*p**2*(p + 1)
Let x(g) be the first derivative of -g**3/12 - 7*g**2/8 + 9*g/2 + 107. Factor x(k).
-(k - 2)*(k + 9)/4
Suppose z + 5 = -2*h + 16, -h + 10 = -4*z. Let w(b) be the first derivative of h + 1/4*b**3 - 3/16*b**4 + 0*b + 1/20*b**5 - 1/8*b**2. Factor w(k).
k*(k - 1)**3/4
Let x(j) be the third derivative of 0*j + 0 - 1/120*j**5 + 0*j**4 + 0*j**3 - 33*j**2 + 1/480*j**6. Factor x(k).
k**2*(k - 2)/4
Let n(a) = -a**4 + 3*a**3 + 4*a**2 - 8*a - 4. Let h(y) = y**2 - y - 1. Suppose 4 = 17*q - 13*q. Let t(p) = q*n(p) - 4*h(p). What is l in t(l) = 0?
-1, 0, 2
Factor 6*w**3 - 13*w**5 - 6*w**2 + 3 + 3*w**4 + 6*w + 10*w**5 - 9*w.
-3*(w - 1)**3*(w + 1)**2
Let s(i) be the second derivative of -i**5/30 - i**4/6 + 16*i**3/9 - 4*i**2 + 9*i - 6. Factor s(t).
-2*(t - 2)*(t - 1)*(t + 6)/3
Find n such that -28*n + 22 - 33*n**2 - 8 + 4*n**3 - 4 - 1 = 0.
-1, 1/4, 9
Let l(q) be the third derivative of -q**8/420 - 12*q**7/175 - 5*q**6/6 - 412*q**5/75 - 104*q**4/5 - 128*q**3/3 - 324*q**2. Determine m so that l(m) = 0.
-5, -4, -1
Let k(u) be the first derivative of -u**3/9 + u**2/6 + 2*u/3 - 7. Solve k(x) = 0 for x.
-1, 2
Solve -2/7*d**2 - 2/7 + 4/7*d = 0 for d.
1
Let a(s) be the first derivative of 2*s**3/3 + 17*s**2 - 36*s - 90. Factor a(q).
2*(q - 1)*(q + 18)
Let a = 20 + -18. Let t be 10/4*a*4. What is y in 8 + 3*y + t*y**2 + y - 24*y**2 = 0?
-1, 2
Let b be 5 - (4 + 6*1/(-2)). Let x(f) be the third derivative of -1/3*f**3 + 0*f + 1/8*f**4 - 1/60*f**5 - b*f**2 + 0. Factor x(y).
-(y - 2)*(y - 1)
Let s(v) be the second derivative of v**6/150 - 19*v**5/100 + 7*v**4/30 + 38*v**3/15 - 36*v**2/5 + 294*v. Find n, given that s(n) = 0.
-2, 1, 2, 18
Let g(l) = -l**3 - 24*l**2 + 34*l - 2. Let v(j) = -3*j**3 - 24*j**2 + 33*j - 3. Let u(p) = -3*g(p) + 2*v(p). Factor u(y).
-3*y*(y - 6)*(y - 2)
Let x = 59 + -41. Suppose 4*l = -z - x, 5*z + 3*l + 0 = -5. Suppose 0*p**3 - 2*p - 6*p**3 - 3*p**4 + 5*p**4 + 6*p**z = 0. Calculate p.
0, 1
Factor 6/23 + 14/23*z**4 + 36/23*z**3 + 2/23*z**5 + 26/23*z + 44/23*z**2.
2*(z + 1)**4*(z + 3)/23
Let b be (-2)/(-22) + (-196)/(-1232). Let f(s) be the first derivative of 3/4*s**2 - 3/4*s - 8 - b*s**3. Factor f(v).
-3*(v - 1)**2/4
Let a be (-15850)/(-450) - (-2)/(-9). Let m be 0/a*(-1)/2. Suppose m*q**2 - 2/19*q + 4/19*q**3 - 2/19*q**5 + 0 + 0*q**4 = 0. What is q?
-1, 0, 1
Let a(i) be the first derivative of -1/15*i**6 + 0*i**2 + 10 - 2/25*i**5 + 0*i + 1/5*i**4 + 0*i**3. Factor a(p).
-2*p**3*(p - 1)*(p + 2)/5
Determine m, given that -144/25*m**2 + 2/25*m**3 - 28/5 + 282/25*m = 0.
1, 70
Let g(i) = 4*i**2 + 13*i + 3. Let a be g(-5). Factor 6*h**3 + 41 - a - 3*h**4 - 9*h + 3*h.
-3*(h - 1)**3*(h + 1)
Let 27*r**2 + 0*r + 3/4*r**4 + 0 + 9*r**3 = 0. What is r?
-6, 0
Let y(v) = v**3 + 7*v**2 + 3*v - 7. Let n be y(-6). Let h be (6/(-4))/(n/(-22)). Let -4*s**4 + s**2 - 21 + 8*s**h - s**2 + 25 - 8*s = 0. What is s?
-1, 1
Let f(n) be the second derivative of 0 + 0*n**3 + 1/12*n**4 - 1/2*n**2 + 7*n. Factor f(w).
(w - 1)*(w + 1)
Let l(m) be the third derivative of -m**6/200 - 23*m**5/100 - 17*m**4/5 - 24*m**3 + 137*m**2. Factor l(k).
-3*(k + 4)**2*(k + 15)/5
Let t(p) be the third derivative of p**6/360 + p**5/20 + 5*p**4/18 + 2*p**3/3 - 118*p**2. What is s in t(s) = 0?
-6, -2, -1
Let 268 + 1778*o + 96*o**4 + 2008*o**2 + 382*o + 345 + 740*o**3 + 187 + 4*o**5 = 0. What is o?
-10, -2, -1
Let v(j) be the third derivative of 0 - 1/15*j**6 - 11/18*j**4 - 22*j**2 + 2/315*j**7 - 14/45*j**5 + 0*j + 1/252*j**8 - 2/3*j**3. Factor v(f).
4*(f - 3)*(f + 1)**4/3
Let d = 4 - 2. Suppose -7*r - 3*r**d - 2*r + 6*r = 0. Calculate r.
-1, 0
Let p be (0 - (-6)/220)/(-99 + 108). Let n(b) be the third derivative of 0*b**4 + 0 - p*b**5 - 12*b**2 + 1/33*b**3 + 0*b. Let n(w) = 0. Calculate w.
-1, 1
Let j be 2 - (0/1 + 0). Factor -4*f**2 + 4*f**j - 2*f**3 + 2*f.
-2*f*(f - 1)*(f + 1)
Let q(m) be the second derivative of m**4/66 + 3*m**3/11 - 109*m. Let q(p) = 0. Calculate p.
-9, 0
Let o(h) be the first derivative of -10/3*h**3 - 5/6*h**6 + 14 + 0*h + 0*h**2 - 4*h**5 - 25/4*h**4. Factor o(f).
-5*f**2*(f + 1)**2*(f + 2)
Let y(l) = -11*l**2 + 580*l - 27664. Let o(h) = 13*h**2 - 581*h + 27668. Let r(w) = 4*o(w) + 5*y(w). Factor r(s).
-3*(s - 96)**2
Let s(w) be the third derivative of -w**11/887040 - w**10/134400 - w**9/80640 + 11*w**5/60 + 3*w**2. Let m(t) be the third derivative of s(t). Factor m(p).
-3*p**3*(p + 1)*(p + 2)/8
Let p(b) be the first derivative of -b**6/42 + b**5/7 - b**4/4 - b**3/21 + 4*b**2/7 - 4*b/7 + 206. Solve p(c) = 0 for c.
-1, 1, 2
Factor 98/3 - 2/9*i**2 + 292/9*i.
-2*(i - 147)*(i + 1)/9
Suppose p + 28 = 3*p - 5*z, -3*p + 4 = 2*z. Let k be -4*p/((-208)/2). Factor k*l**2 - 4/13*l + 0.
2*l*(l - 2)/13
Factor 4/5*f**5 + 0*f + 48/5*f**3 - 24/5*f**4 + 0 - 32/5*f**2.
4*f**2*(f - 2)**3/5
Let w(s) be the second derivative of s**4/54 + 4*s**3/27 + 4*s**2/9 - 5*s + 22. Determine a so that w(a) = 0.
-2
Let h(r) be the first derivative of 1/10*r**2 + 0*r**5 + 1/30*r**6 + 18 + 0*r - 1/10*r**4 + 0*r**3. Suppose h(k) = 0. Calculate k.
-1, 0, 1
Let c = -965186/3135 + 16/285. Let i = 308 + c. Factor -i*v**2 + 0*v + 2/11.
-2*(v - 1)*(v + 1)/11
Let w be (1 - 0)/(26/26)*2. Factor p**2 + w + 11/3*p.
(p + 3)*(3*p + 2)/3
Let d(s) = -s**3 - 2*s**2 + 4*s + 4. Let p be d(-3). Let m be ((-14)/4 - p)*(-4)/8. Suppose -m*j**2 + 0 - 3/4*j = 0. Calculate j.
-1/3, 0
Let r be 20/144*(-15)/(-50)*1. Let g(i) be the third derivative of r*i**6 + 5/12*i**4 + 0*i + 0*i**3 + 0 - 1/4*i**5 + i**2. Determine s so that g(s) = 0.
0, 1, 2
Suppose -4*h + 6 = -h. Let t(z) = 2*z**2 + 8*z - 12. Let w(k) = 3*k**2 + 16*k - 24. Let x(y) = h*w(y) - 5*t(y). Solve x(f) = 0.
-3, 1
Let o(a) be the first derivative of -a**5/10 - a**4/16 + a**3/12 + 337. Find j such that o(j) = 0.
-1, 0, 1/2
Let h(b) be the first derivative of b**5/12 + 25*b**4/12 + 125*b**3/6 - 5*b**2/2 + 10. Let w(n) be the second derivative of h(n). Factor w(v).
5*(v + 5)**2
Let m = -7137/20 - -2558/5. Let r = 157 - m. Factor 1/2 - 11/4*c**2 - r*c.
-(c + 1)*(11*c - 2)/4
Suppose 69*s = 50*s. Find h, given that 2/15*h**5 + 0*h**2 + s*h + 2/15*h**3 + 0 + 4/15*h**4 = 0.
-1, 0
Let l(o) be the second derivative of o**4/3 - 72*o**3 + 5832*o**2 + 31*o - 3. Find y, given that l(y) = 0.
54
Let w(n) be the fi