= 0.
-1, 0, 1
Let c(w) be the third derivative of w**7/40 - w**6/20 - w**5/16 + 3*w**4/16 - 19*w**2 - 1. Solve c(l) = 0 for l.
-6/7, 0, 1
Factor 7/6*l - 4/3 + 1/6*l**2.
(l - 1)*(l + 8)/6
Let o(d) be the second derivative of -d**4/60 - d**3/6 - 3*d**2/5 - 6*d. Solve o(r) = 0 for r.
-3, -2
Let g be 4/6*5/(20/12). Let -n + 0*n - n - 7*n + 3*n**g + 6 = 0. Calculate n.
1, 2
Let r(i) be the third derivative of 0 + 14*i**2 + 8/21*i**3 + 0*i + 1/15*i**5 + 8/21*i**4. Find f, given that r(f) = 0.
-2, -2/7
Find a such that -10 + 1/3*a**4 - 9*a**3 - 29*a**2 - 89/3*a = 0.
-1, 30
Suppose c = -3*i - 11 + 34, 0 = -c + 3*i - 19. Factor 10/3*q + c + 14/9*q**2 + 2/9*q**3.
2*(q + 1)*(q + 3)**2/9
Let v = 169 + -97. Let q = -72 + v. Solve q*k - 2/7*k**3 + 0*k**2 + 2/7*k**4 + 0 = 0.
0, 1
Let x(d) be the second derivative of -d**5/20 - d**4/2 + 25*d**3/6 - 9*d**2 - 14*d + 3. Factor x(p).
-(p - 2)*(p - 1)*(p + 9)
Let v be 12/(-15) + (-1078)/(-385). Factor 0 - 2/11*y - 2/11*y**v.
-2*y*(y + 1)/11
Let n(d) = -2*d**3 + 1. Let r be n(-1). Find h, given that r*h**2 + 1829*h - 1844*h + 2*h**2 = 0.
0, 3
Solve -8/7*k**3 + 0 + 0*k + k**2 + 1/7*k**4 = 0 for k.
0, 1, 7
Suppose 13/5*l**2 + 11/5 - 23/5*l - 1/5*l**3 = 0. Calculate l.
1, 11
Let r(g) be the third derivative of -g**6/240 - g**5/20 - 11*g**4/48 - g**3/2 + 127*g**2. Determine n, given that r(n) = 0.
-3, -2, -1
Let j(o) be the second derivative of -o**6/60 - o**5/5 + 5*o**4/12 + 2*o**3/3 - 9*o**2/4 - 132*o. Suppose j(x) = 0. Calculate x.
-9, -1, 1
Find v, given that -35*v - 70*v - 61*v - 4*v**2 - 156*v + 22*v = 0.
-75, 0
Let w = 79 - 149/2. Let p(h) be the first derivative of 3*h**3 + 4 + 3*h + w*h**2 + 3/4*h**4. Factor p(g).
3*(g + 1)**3
Let c(p) be the third derivative of p**8/560 - 3*p**7/350 - p**6/40 + 27*p**5/100 - 4*p**4/5 + 6*p**3/5 + 164*p**2. Solve c(u) = 0 for u.
-3, 1, 2
Factor -3/2*h**3 + 0*h**2 + 0 - 1/2*h**4 + 0*h.
-h**3*(h + 3)/2
Let c be 18 + -16 - (0 - 0)/2. Suppose 5*k + 9 = 3*v, -3*k + v - 3 = c*k. Find s such that -4/7*s**2 + 0*s + k - 6/7*s**3 = 0.
-2/3, 0
Suppose -5 - 15 = -5*o. Determine d so that 5*d**o - 18*d**4 - 11*d**4 - 9*d**5 - 12*d**3 = 0.
-2, -2/3, 0
Let v(g) be the third derivative of g**6/270 - g**5/135 - 5*g**4/54 - 2*g**3/9 - 4*g**2 - 3*g. Find f, given that v(f) = 0.
-1, 3
Suppose 0 = -2*z + 6. Let d be -1 + 5 + 58/(-18) + z. Factor 22/9*y + 10/9*y**4 + d*y**3 + 4/9 + 14/3*y**2.
2*(y + 1)**3*(5*y + 2)/9
Suppose -8/11*q**3 + 0 + 126/11*q**2 + 32/11*q = 0. Calculate q.
-1/4, 0, 16
Factor 1/5*b**2 + 14/5*b + 13/5.
(b + 1)*(b + 13)/5
Let u(x) = -1. Let p(i) = -7*i + i - 4 - 6*i**2 - 2*i. Let q be 4 + (-6)/(-3 + 4). Let b(f) = q*u(f) + p(f). Suppose b(m) = 0. Calculate m.
-1, -1/3
Let s(b) be the second derivative of 0 - 1/2*b**2 - 1/4*b**4 - 1/2*b**3 + 6*b - 1/20*b**5. Factor s(q).
-(q + 1)**3
Let u(m) be the second derivative of -3*m**5/10 - m**4/8 - 5*m**2/2 + 10*m. Let i(w) be the first derivative of u(w). Let i(k) = 0. What is k?
-1/6, 0
Suppose -6 = -3*z + 2*i, -2*i - 6 = 2*z - 20. Suppose 0*d + 3*f = d - 50, -4*d = f - 135. Solve -32*u + 21*u**4 + 72*u**3 - d*u**z + 50*u**4 - 16 + 20*u**2 = 0.
-1, -2/3, 2/3
Let p be 10/80 - 7/(-56). Let r(y) be the second derivative of p*y**4 + 0 - y - y**3 + 3/2*y**2. Let r(f) = 0. Calculate f.
1
Let f(z) = 2*z**2 + 19*z + 22. Let k(c) = c - 2. Let m(q) = 2*f(q) + 22*k(q). Factor m(t).
4*t*(t + 15)
What is l in -100/7 - 410/7*l - 18/7*l**3 + 176/7*l**2 = 0?
-2/9, 5
Let x(d) be the third derivative of d**9/1680 - d**8/320 + d**6/60 + 7*d**4/24 - 18*d**2. Let m(j) be the second derivative of x(j). Factor m(z).
3*z*(z - 2)*(z - 1)*(3*z + 2)
Let w = -2 - -24. Determine q, given that 13*q**3 + 5*q**3 + 9 - w*q**2 - 4*q**4 - 1 = 0.
-1/2, 1, 2
Let r(x) be the first derivative of -x**6/33 - 12*x**5/55 - 5*x**4/11 + x**2 + 12*x/11 + 65. Solve r(c) = 0 for c.
-3, -2, -1, 1
Let b be (-230)/50 + ((-16)/(-10) - 2). Let f(y) = 4*y + 20. Let v be f(b). Factor 2/9*n**5 + 0*n**4 + 0 + v*n**2 - 4/9*n**3 + 2/9*n.
2*n*(n - 1)**2*(n + 1)**2/9
Let z(f) be the third derivative of -f**7/15 - 8*f**6/45 - 43*f**5/270 - f**4/18 - 254*f**2. Factor z(p).
-2*p*(3*p + 1)**2*(7*p + 6)/9
Let h(w) = -w**2 + 18*w - 72. Let l be h(12). Suppose 2 = i - l*i. Determine p, given that -2/5*p**i + 0 + 0*p**3 + 0*p + 2/5*p**4 = 0.
-1, 0, 1
Let t(l) be the third derivative of -l**7/1155 + l**6/220 + 3*l**5/110 + 5*l**4/132 - 242*l**2. Factor t(v).
-2*v*(v - 5)*(v + 1)**2/11
Factor 4/3*z + 2/3*z**2 - 10.
2*(z - 3)*(z + 5)/3
Factor 30/7*t**3 + 6/7*t**2 + 0 - 6/7*t**4 - 30/7*t.
-6*t*(t - 5)*(t - 1)*(t + 1)/7
Let s(l) be the first derivative of -l**6/900 - l**5/75 + 8*l**3/3 - 6. Let n(p) be the third derivative of s(p). Determine r, given that n(r) = 0.
-4, 0
Let u(b) be the first derivative of 1/60*b**4 + 1 + 0*b**3 + 1/120*b**6 - 1/2*b**2 + 0*b + 7/300*b**5. Let c(z) be the second derivative of u(z). Factor c(y).
y*(y + 1)*(5*y + 2)/5
Let w = 23 + 4. Factor -10 - 53*v**2 - 47*v**2 - 46*v**2 + w*v + 141*v**2.
-(v - 5)*(5*v - 2)
Let d(h) be the third derivative of -h**6/1020 - h**5/170 + 185*h**2. Factor d(t).
-2*t**2*(t + 3)/17
Let l(h) be the first derivative of 1/2*h**4 - 2*h**2 - 4 + 3*h - 7/3*h**3. Let n(u) = 3*u**3 - 8*u**2 - 4*u + 4. Let t(q) = 4*l(q) - 3*n(q). Factor t(j).
-j*(j + 2)**2
Let o(w) = -8*w**2 - 60*w - 256. Let g(f) = f**2 + 8*f + 8. Let c be g(-6). Let p(n) = 7*n**2 + 61*n + 256. Let y(s) = c*p(s) - 3*o(s). Factor y(d).
-4*(d + 8)**2
Let r = -29 - -33. Factor -84*v**3 - 14*v**2 + 79*v**3 + 15*v + r*v**2.
-5*v*(v - 1)*(v + 3)
Let w(o) be the second derivative of o**5/30 + o**4/12 - 2*o**2 - 10*o. Let k(i) be the first derivative of w(i). Factor k(t).
2*t*(t + 1)
Let -48/11*j**2 - 2*j**3 - 2/11*j**4 + 72/11*j + 0 = 0. What is j?
-6, 0, 1
Let n(b) = -2*b**4 + 46*b**3 - 97*b**2 + 86*b - 11. Let q(s) = -s**2 + 4*s - 1. Let a(t) = 2*n(t) - 22*q(t). Factor a(w).
-4*w*(w - 21)*(w - 1)**2
Let q(v) = v**2 - 36*v + 203. Let w be q(29). Determine y, given that -3/2*y**5 + w - 9/2*y**2 - 3/2*y**3 + 9/2*y**4 + 3*y = 0.
-1, 0, 1, 2
Let v(m) be the first derivative of 4*m**3/3 - 480*m**2 + 57600*m + 144. Factor v(l).
4*(l - 120)**2
Suppose -a + 6*a = 20. Factor -60*f - a*f**3 + 40 - 2*f**2 - 19 + 30*f**2 + 15.
-4*(f - 3)**2*(f - 1)
Let v(x) be the third derivative of x**5/30 + 4*x**4/3 - 172*x**2. Let v(o) = 0. Calculate o.
-16, 0
Let i be 12/54 - 16/(-9). Factor 5*p**2 + p - 9*p + 8*p**3 + i*p**4 - 8 + p**2.
2*(p - 1)*(p + 1)*(p + 2)**2
Let q = 125/2 - 1371/22. Let r be 0 + 26/22 + (-1 - 0). Factor q*f**2 + 2/11*f**3 + 0 - 2/11*f**4 + 0*f - r*f**5.
-2*f**2*(f - 1)*(f + 1)**2/11
Suppose -5*z + z = 0. Suppose -k + z*k + 20 = 0. Solve -43*o + k*o + 20*o + o**2 = 0.
0, 3
Let p = 93 - 48. Let x be 16/(-4) - (-198)/p. Find a, given that 0 + x*a**5 - 6/5*a**3 + 2*a**2 - 2/5*a**4 - 4/5*a = 0.
-2, 0, 1
Suppose -19*q - 19262 + 19300 = 0. Factor 12/7 + 2/7*y**2 - q*y.
2*(y - 6)*(y - 1)/7
Suppose 3*h = 5*c - 15, 11*c - 6 = h + 9*c. Let p(r) be the second derivative of 0 - 1/3*r**4 - 2/3*r**3 + 2/15*r**6 + 8*r + h*r**2 + 1/5*r**5. Factor p(m).
4*m*(m - 1)*(m + 1)**2
Suppose -9*g + 2*g = 14. Let v be (25/10)/(g/(-4)). Find r such that -2*r + 0 - 14*r**4 - 45/2*r**3 + 14*r**2 + 49/2*r**v = 0.
-1, 0, 2/7, 1
Let b(c) = 58*c**3 + 177*c**2 + 183*c + 32. Let n(o) = 14*o**3 + 44*o**2 + 46*o + 8. Let j(w) = 4*b(w) - 18*n(w). Suppose j(p) = 0. Calculate p.
-2, -1/5
Let i(c) be the second derivative of 1/6*c**4 + 0 + 0*c**5 - 20*c + 0*c**3 + 0*c**2 - 1/15*c**6. Factor i(u).
-2*u**2*(u - 1)*(u + 1)
Suppose 4*n - 4*h = -8 + 88, -2*h + 23 = n. Let a = n - 18. Solve 6/7 + 3/7*y**a + 0*y**2 - 9/7*y = 0 for y.
-2, 1
Let r(c) = -c**4 + 8*c**3. Let h(k) = 15*k**4 - 30*k**3 - 280*k**2. Let o(m) = h(m) + 10*r(m). Factor o(z).
5*z**2*(z - 4)*(z + 14)
Let t be 1/(-3)*9/(-6). Let d = -2199 + 2203. Factor 5/2*m**3 + 3/2*m**d - 9/2*m**5 + t*m**2 + 0 + 0*m.
-m**2*(m - 1)*(3*m + 1)**2/2
Solve 3/7*u**2 + 4800/7 + 240/7*u = 0 for u.
-40
Factor -5*q**2 - 1/3*q**3 + 11*q - 17/3.
-(q - 1)**2*(q + 17)/3
Let j(p) = -p**3 + 22*p**2 + 32*p - 10. Let d be j(24). Let s = d + 1976/5. Factor 2/5*u**3 + 2/5 + s*u + 6/5*u**2.
2*(u + 1)**3/5
Let m(h) = -4*h - 19. Let j be m(-9). Factor -32*b + 1 - j*b**2 + 6*b**2 - 3*b**2 - 9.
-2*(b + 2)*(