 first derivative of c(w). Factor x(r).
(r - 1)*(r + 1)
Let t(x) be the second derivative of x**7/168 - x**6/120 - x**5/80 + x**4/48 - 13*x. What is b in t(b) = 0?
-1, 0, 1
Let z(g) = -99*g**4 - 155*g**3 - 63*g**2 - 9*g. Let l(q) = -q**4 - q**3 + q**2 - q. Let r(u) = l(u) - z(u). Factor r(a).
2*a*(a + 1)*(7*a + 2)**2
Let j be (42/7)/(2/(-21)). Let t be (-24)/j*(-1539)/(-12). Factor -16/7 - 54/7*k**5 - 104/7*k - 216/7*k**4 - t*k**3 - 268/7*k**2.
-2*(k + 1)**2*(3*k + 2)**3/7
Suppose -140*w + 140*w + 3 - 3*w**2 = 0. Calculate w.
-1, 1
Let d be ((-3)/162*4)/(8/(-12)). Suppose d*c**4 - 1/3*c**2 - 8/9*c + 2/9*c**3 - 4/9 = 0. Calculate c.
-2, -1, 2
Determine p so that 0 + 2/9*p + 8/9*p**3 - 10/9*p**2 = 0.
0, 1/4, 1
Let j(v) = -v**2 + 5*v + 17. Let s be j(7). Let p(u) be the third derivative of 0*u + 1/45*u**5 + u**2 - 1/36*u**4 + 0 + 0*u**s - 1/180*u**6. Solve p(r) = 0.
0, 1
Let t(m) = -2*m**2 - 2. Let z(n) = 5 - 10*n**2 + 13*n**2 - 1. Let u(j) = -7*t(j) - 4*z(j). Let u(r) = 0. What is r?
-1, 1
Factor l + 1/3*l**2 - 4/3.
(l - 1)*(l + 4)/3
Suppose -5*k - 16 = 64. Let u = -14 - k. Factor -1/2*f**3 + 0*f**4 + 1/2*f**5 + 0*f + 0*f**u + 0.
f**3*(f - 1)*(f + 1)/2
Factor 3*j + 21/4*j**3 - 12*j**2 + 0.
3*j*(j - 2)*(7*j - 2)/4
Let x(o) be the third derivative of o**10/151200 - o**8/16800 + o**6/3600 + o**4/6 - 4*o**2. Let f(t) be the second derivative of x(t). Factor f(b).
b*(b - 1)**2*(b + 1)**2/5
Let k(a) be the first derivative of 2*a**3/39 + 14*a**2/13 + 98*a/13 - 28. Factor k(p).
2*(p + 7)**2/13
Let a = 26 + -77/3. Solve -a*l**4 - l**3 - l**2 - 1/3*l + 0 = 0 for l.
-1, 0
Let m(w) be the third derivative of w**6/30 + w**5/3 + w**4/2 - 6*w**3 - 42*w**2. Solve m(d) = 0 for d.
-3, 1
Suppose 3 = 3*w - 0. Suppose -w - 7 = -4*k. Find o such that 3*o - 2/3 - 7/3*o**k = 0.
2/7, 1
Let f(z) be the second derivative of 3*z**5/100 + z**4/20 - z**3/10 - 3*z**2/10 + 14*z. Factor f(c).
3*(c - 1)*(c + 1)**2/5
Find l, given that -10*l**2 + 4*l + 7 - 14*l**2 + 25*l**2 - 12*l = 0.
1, 7
Let a be 2/3 - 55/132. Suppose 0 = 3*j - 4 - 5. Solve 3/4*s + a + 1/4*s**j + 3/4*s**2 = 0 for s.
-1
Let r(q) = 20*q**5 + 8*q**4 - 32*q**3 + 20*q - 8. Let f(d) = -7*d**5 - 3*d**4 + 11*d**3 - 7*d + 3. Let o(n) = 8*f(n) + 3*r(n). Suppose o(k) = 0. Calculate k.
-1, 0, 1
Let x(z) be the third derivative of 4*z**2 + 1/6*z**3 - 1/60*z**5 + 0 + 1/24*z**4 - 1/120*z**6 + 0*z. Factor x(w).
-(w - 1)*(w + 1)**2
Factor -12/7 - 40/7*v - 12/7*v**2.
-4*(v + 3)*(3*v + 1)/7
Suppose 12/5*u + 2/5 + 16/5*u**2 - 18/5*u**4 - 12/5*u**3 = 0. What is u?
-1, -1/3, 1
Let b = 75 - 8999/120. Let i(v) be the third derivative of 1/30*v**3 + b*v**4 + 0 + 0*v - 4*v**2 - 1/600*v**6 - 1/300*v**5. Let i(p) = 0. What is p?
-1, 1
Let t(d) = -d**2 - d - 1. Let c(z) be the third derivative of -z**5/12 - 7*z**4/12 - 11*z**3/6 - 5*z**2. Let o(b) = -c(b) + 2*t(b). What is v in o(v) = 0?
-3, -1
Let p be 1*3/(-6)*-4. Factor u**p + 0*u**3 + 45*u - 1 - u**3 - 44*u.
-(u - 1)**2*(u + 1)
Let w(i) be the second derivative of i**5/70 + i**4/42 - i**3/21 - i**2/7 + 12*i. Factor w(u).
2*(u - 1)*(u + 1)**2/7
Let y(q) be the first derivative of q**3 - q**2 - 1. Factor y(m).
m*(3*m - 2)
Let k be -4 - -1 - -3 - -4. Find z such that -1 + 5*z**4 - 2*z**k - 6*z**3 + 1 + 3*z**2 = 0.
0, 1
Let m(f) be the first derivative of 0*f - 1/12*f**6 - 1/6*f**3 + 0*f**2 + 1/10*f**5 + 1/8*f**4 + 4. Find q such that m(q) = 0.
-1, 0, 1
Find p such that 24*p - 38 - 39 + 4*p**2 + 109 = 0.
-4, -2
Suppose -2*j + 14 = -5*i, 0 = -j - j + i + 6. Determine w so that 2/7*w**j - 2/7*w - 4/7 = 0.
-1, 2
Suppose -12 = -3*j - g + 4*g, -4*j + 18 = -5*g. Factor -1/3*x**j + 1/3 - 1/3*x**3 + 1/3*x.
-(x - 1)*(x + 1)**2/3
Let j be (-10)/(-6)*-1*6/(-4). Factor -4*i + 2 + j*i**2 - 1/2*i**3.
-(i - 2)**2*(i - 1)/2
Suppose 2/13*r + 0 + 4/13*r**2 + 2/13*r**3 = 0. Calculate r.
-1, 0
Suppose -1 + 7 = 2*f. What is q in -1/3 + 0*q + 0*q**f - 1/3*q**4 + 2/3*q**2 = 0?
-1, 1
Suppose -t = -2*l + 2, 0 = t - 8*l + 4*l + 8. Let n be 3/t + (-145)/(-180). Factor -4/9 - n*j - 2/9*j**4 - 10/9*j**3 - 2*j**2.
-2*(j + 1)**3*(j + 2)/9
Let -1/2*q**3 - 1/2 + 1/2*q + 1/2*q**2 = 0. Calculate q.
-1, 1
Let q = -11/18 - -10/9. Let n be (-2)/5 - 2/(-5). Factor -1/2*w**2 + n - q*w.
-w*(w + 1)/2
Let p be (-60)/330*(-22)/8. Determine j so that -p*j**2 - j + 0 = 0.
-2, 0
Suppose 6*v - 3 = 9. Factor o + 0 - 1/4*o**v.
-o*(o - 4)/4
Let g(o) be the second derivative of -o**6/2 + 51*o**5/20 - 4*o**4 + 2*o**3 - 4*o. Factor g(r).
-3*r*(r - 2)*(r - 1)*(5*r - 2)
Let r(p) = -p**2 + 12*p + 23. Let j(h) = -3 + 16 - 8*h**2 + 6*h + 7*h**2 - 2. Let t(x) = -5*j(x) + 2*r(x). Determine n, given that t(n) = 0.
-1, 3
Let r(x) be the first derivative of -x**4 + 8*x**3/3 + 2*x**2 - 8*x - 6. Factor r(s).
-4*(s - 2)*(s - 1)*(s + 1)
Factor 1/4*o + 1/4*o**4 + 3/4*o**2 + 3/4*o**3 + 0.
o*(o + 1)**3/4
Let k(m) = -6*m**2 - 6*m + 3. Let q(r) = 7*r**2 + 7*r - 4. Let f(i) = 4*k(i) + 3*q(i). Determine a, given that f(a) = 0.
-1, 0
Let r(t) = 6*t**2 - 6*t + 5. Let k(q) = 3*q**2 - 3*q + 2. Let o(b) = 5*k(b) - 2*r(b). What is f in o(f) = 0?
0, 1
Let b = -4 + 4. Let t(v) = -31*v - 183. Let d be t(-6). Factor b*x**4 - 2/3*x - 2/3*x**5 + 0*x**2 + 0 + 4/3*x**d.
-2*x*(x - 1)**2*(x + 1)**2/3
Suppose -16 = -t - 16. Let l(m) be the third derivative of -1/1512*m**8 + 0*m**7 + 0*m + 0*m**6 + m**2 + t + 0*m**5 + 0*m**4 + 0*m**3. Factor l(o).
-2*o**5/9
Let v(r) be the second derivative of 0 - 1/80*r**5 + 2*r + 1/24*r**4 + 0*r**2 + 1/3*r**3 + 1/720*r**6. Let m(y) be the second derivative of v(y). Factor m(h).
(h - 2)*(h - 1)/2
Let v = 4 - 20. Let y = 16 + v. Factor y - 2/5*w**2 + 2/5*w.
-2*w*(w - 1)/5
Let o = 2 + 1. Suppose 11 = o*h - 4. Let 2*x + 0*x - 4*x**3 - 2*x**h + 4*x**5 = 0. What is x?
-1, 0, 1
Let k(q) be the first derivative of 5*q**3/3 + 20*q**2 + 60*q + 37. What is s in k(s) = 0?
-6, -2
Let m(q) be the first derivative of 2*q**3/9 - q**2/3 - 4. Factor m(l).
2*l*(l - 1)/3
Let s be (-1)/1 - 5*-1. Let r = -3 - -7. Factor u - u**2 + r*u**s - 3*u**2 + u + 0*u - 2*u**5.
-2*u*(u - 1)**3*(u + 1)
Determine t so that 195*t**2 - 107 - 14*t**3 - 125*t**4 + 50*t - 10*t + 27 - 36*t**3 = 0.
-1, 4/5
Let v(k) = k + 2. Let o be v(0). Suppose -r - o = 4*r - 2*x, 3*r = -x + 1. Factor 0 + 0*a**2 + 1/5*a**3 + r*a.
a**3/5
Let k(v) = 2*v**3 + 134*v**2 + 1452*v + 5322. Let u(s) = -9*s**3 - 671*s**2 - 7260*s - 26609. Let j(b) = 11*k(b) + 2*u(b). Factor j(o).
4*(o + 11)**3
Let g(t) = 2*t**5 + 18*t**3 - 14*t**2. Let o(v) = -v**5 - 17*v**3 + 13*v**2. Let f(b) = 5*g(b) + 6*o(b). Solve f(l) = 0 for l.
-2, 0, 1
Let x = 1333/5 - 266. Let z be (-92)/(-60) - (-2)/(-6). What is a in -3/5*a**2 - x - z*a = 0?
-1
Let m(f) be the second derivative of 0 - 7/40*f**5 - 5/12*f**3 + 3/8*f**4 + 1/30*f**6 - f + 1/4*f**2. Factor m(t).
(t - 1)**3*(2*t - 1)/2
Suppose 0 = 5*p + 4*l + 20, 4*p - 4*l = -9 + 29. Let f(k) be the first derivative of p*k**4 + 2 - k**3 - k**2 + 1/5*k**5 + 0*k. Factor f(j).
j*(j - 2)*(j + 1)**2
Let s(p) be the second derivative of -1/42*p**4 + 3*p + 1/7*p**2 + 0*p**3 + 0. Determine z, given that s(z) = 0.
-1, 1
Let v(b) be the first derivative of -3*b**4/4 + 6*b**2 + 5. Factor v(p).
-3*p*(p - 2)*(p + 2)
Let d(g) be the second derivative of g**4/12 + g**3/3 - 4*g. Let d(t) = 0. Calculate t.
-2, 0
Let o(x) be the first derivative of -3*x**5/20 + x**3/2 - 5*x - 4. Let u(b) be the first derivative of o(b). Suppose u(d) = 0. Calculate d.
-1, 0, 1
Let t(w) be the second derivative of 1/70*w**5 - 8/7*w**2 - 1/7*w**4 + 4/7*w**3 - 3*w + 0. Factor t(c).
2*(c - 2)**3/7
Let d be (-104)/(-70) - (-4)/(-14). Suppose 16*b + 28 = 23*b. Find y such that 4/5*y**3 + 4/5*y**2 + 2/5 - 6/5*y**b + 2/5*y**5 - d*y = 0.
-1, 1
Let u(s) be the second derivative of -2*s**7 + 236*s**6/15 - 214*s**5/5 + 164*s**4/3 - 106*s**3/3 + 12*s**2 - 13*s. Find i such that u(i) = 0.
2/7, 1/3, 1, 3
Let x(k) = -15*k**3 + 69*k**2 - 9*k + 9. Let t(c) = 8*c**3 - 35*c**2 + 5*c - 4. Let g(u) = -9*t(u) - 4*x(u). Suppose g(y) = 0. What is y?
0, 1/4, 3
Suppose 4*v = 4, -18 = -5*u + 5*v + 7. Let n be u/(-4) + 4/2. Factor 0 - 1/2*h - n*h**3 - h**2.
-h*(h + 1)**2/2
Let l = 92 + -553/6. Let f = 2/3 + l. Let -1/2*q**2 - f*q**4 + 0*q - q**3 + 0 = 0. Calculate q.
-1, 0
Factor -20/3*m**3 - 10/3*m - 10/3*m**4 - 20/3*m**2 - 2/3*m**5 - 2/3.
-2*(m 