 of -p**7/42 + p**6/15 - p**4/6 + p**3/6 - 2*p. Suppose w(r) = 0. What is r?
-1, 0, 1
Let f be (-1)/(-2) + (-45)/(-18). Let w(b) = 4*b**2 - 3 + 0 - 2*b + 4*b. Let c(g) = 5*g**2 + 3*g - 4. Let k(u) = f*c(u) - 4*w(u). Factor k(n).
-n*(n - 1)
Let 2/3*g**4 + 2/3*g**2 + 2*g - 4/3 - 2*g**3 = 0. What is g?
-1, 1, 2
Suppose -10 + 2 = -4*r. Determine d so that 3*d**2 - 11*d**3 + 4*d**2 - 5*d**4 + 15*d**5 - 6*d**5 - 2*d**4 + r*d = 0.
-1, -2/9, 0, 1
Let l(h) be the third derivative of -h**9/30240 - h**8/3360 - h**7/840 - h**6/360 - h**5/10 - 3*h**2. Let m(f) be the third derivative of l(f). Factor m(d).
-2*(d + 1)**3
Let u(i) be the third derivative of -i**7/210 + i**6/120 + 7*i**5/60 - 13*i**4/24 + i**3 - 44*i**2. Suppose u(x) = 0. What is x?
-3, 1, 2
Solve 52/15*w + 2/15*w**2 + 338/15 = 0 for w.
-13
Determine b, given that -27*b**2 - 577 - 2*b + 577 = 0.
-2/27, 0
Let h(x) be the second derivative of x**7/8820 - x**4/4 + x. Let m(u) be the third derivative of h(u). Factor m(a).
2*a**2/7
Let t(g) be the third derivative of -g**5/330 + g**4/66 - g**3/33 - 3*g**2. Factor t(x).
-2*(x - 1)**2/11
Let y be (-42)/364*(-8)/6. Determine n so that y + 2/13*n**3 - 2/13*n**2 - 2/13*n = 0.
-1, 1
Let z be 1 + 0 - (11 - 14). Let d(x) be the second derivative of 0 + 1/24*x**z + 0*x**3 - 2*x - 1/4*x**2. Factor d(p).
(p - 1)*(p + 1)/2
Factor 10/3*v - 2*v**3 - 16/3*v**2 + 4.
-2*(v - 1)*(v + 3)*(3*v + 2)/3
Let z(n) = -n**2 + n - 1. Let c(s) = s**3 + 7*s**2 - 7*s + 11. Let j(y) = 2*c(y) + 22*z(y). Factor j(f).
2*f*(f - 2)**2
Let j = -2 + -7. Let c be 72/(-24) + (-31)/j. Factor 0 + 2/9*h**2 + c*h.
2*h*(h + 2)/9
Let x(o) = -8*o**2 + 8*o + 6. Let g(f) = -2*f + 10*f + 7*f + 11 - 15*f**2. Suppose 5*i - 18 = -73. Let v(a) = i*x(a) + 6*g(a). Find c such that v(c) = 0.
0, 1
Factor -12*j**4 - 16*j**5 + 20*j**2 + 15*j**3 - 20*j + 11*j**5 + 2*j**4.
-5*j*(j - 1)**2*(j + 2)**2
Let a(r) be the third derivative of -r**7/1260 + r**6/360 - r**5/360 - 13*r**2. Find k, given that a(k) = 0.
0, 1
Let c(x) be the second derivative of x**6/20 - 7*x**5/60 - x**4/6 - x**3/2 - x. Let o(r) be the second derivative of c(r). What is g in o(g) = 0?
-2/9, 1
Let a be (6 - 3) + (-2 - -3). Suppose -3*o - a*n - 13 = 1, -5*o - 5 = 3*n. Factor -4*v**2 + 5*v**3 - 4*v**3 - 4*v**4 - 1 - 11*v**o - 7*v - 14*v**3.
-(v + 1)**3*(4*v + 1)
Let d(p) be the first derivative of p**5/110 + p**4/22 + p**3/11 + p**2/11 - 2*p - 5. Let f(s) be the first derivative of d(s). Factor f(b).
2*(b + 1)**3/11
Let u(a) = -15*a**4 + 9*a**2 - 3*a + 3. Suppose 0*x = -2*x - 6. Let f(v) = -29*v**4 + v**3 + 19*v**2 - 6*v + 5. Let l(b) = x*f(b) + 5*u(b). Factor l(s).
3*s*(s - 1)*(s + 1)*(4*s - 1)
Suppose 2*p - 6 = -5*g - 0*p, -4*p + 12 = -4*g. Factor 0 + 7 + g - 9*b**2 - 3*b**3 + 5.
-3*(b - 1)*(b + 2)**2
Let f = 4 - 2. What is c in -4*c**2 - c + f*c + c = 0?
0, 1/2
Let s(n) be the second derivative of -1/130*n**5 + 2/65*n**6 - 7/78*n**4 + 0 + 1/13*n**2 - n + 1/39*n**3. Solve s(d) = 0.
-1, -1/3, 1/2, 1
Let i(j) be the first derivative of j**5/10 - 3*j**4/8 + j**3/3 - 8. Solve i(p) = 0 for p.
0, 1, 2
Let a = -29 - -29. Let j(l) be the second derivative of 2/21*l**3 - 3*l + a*l**2 - 1/42*l**4 + 0. Suppose j(k) = 0. What is k?
0, 2
Let f(h) be the second derivative of -7*h**6/195 + h**5/65 + 7*h**4/78 - 2*h**3/39 - 13*h. Suppose f(u) = 0. Calculate u.
-1, 0, 2/7, 1
Suppose -o = -0*o - 1. Suppose 4*g - 3*d = 24, g + 2*g - o = -2*d. Determine q, given that 1/5*q + 1/5*q**g + 0 + 2/5*q**2 = 0.
-1, 0
Let k(y) be the second derivative of 1/11*y**2 + 3*y + 1/66*y**4 + 0 + 2/33*y**3. Factor k(d).
2*(d + 1)**2/11
Let l(y) be the first derivative of -16*y**5/5 + 5*y**4 + 4*y**3 - 10*y**2 + 4*y - 8. Let l(q) = 0. What is q?
-1, 1/4, 1
Suppose 8*l - 29 = 11. Suppose -4/11*v**4 - 2/11*v**l + 0*v**2 + 0 + 0*v - 2/11*v**3 = 0. Calculate v.
-1, 0
Suppose 18 = 5*i - c + 8, 4*i = 2*c + 8. Suppose -3*r + 7 = 3*z - 2, -r = i*z - 7. Factor 4*h**z - 6*h**4 + h**4 - h**4.
-2*h**4
Let n(b) = b. Let w(d) = d**3 - 8*d**2 - d + 9. Let y be w(8). Let c(m) = 2*m**2 - 14*m + 2. Let t(v) = y*c(v) + 10*n(v). Factor t(q).
2*(q - 1)**2
Factor 0 + 0*n - 1/3*n**4 - 1/3*n**2 + 2/3*n**3.
-n**2*(n - 1)**2/3
Let h be ((-6)/(-7))/(92/161). Factor -h*o - 1/2*o**2 - 1.
-(o + 1)*(o + 2)/2
Suppose 0 = 3*i + i - 288. Let n be ((-3)/4)/(i/(-320)). Factor 2/3*c + n*c**2 + 2*c**3 - 2/3.
2*(c + 1)**2*(3*c - 1)/3
Let s(r) be the second derivative of r**4/20 + r**3/10 - 7*r. Determine v, given that s(v) = 0.
-1, 0
Let v(s) = s. Let i be v(2). Let 3*f**4 + 4*f**i - 3*f**5 + 4*f**3 - 17*f**2 - f**3 + 10*f**2 = 0. What is f?
-1, 0, 1
Let u(f) be the first derivative of f**4/10 - 2*f**3/5 + 3. Find h, given that u(h) = 0.
0, 3
Let l(g) be the third derivative of 0*g**4 - 2*g**2 + 0 - 1/525*g**7 - 1/15*g**3 + 0*g**6 + 0*g + 1/75*g**5. Factor l(r).
-2*(r - 1)**2*(r + 1)**2/5
Let y(l) = -2*l**3 + l**2 - 5*l + 3. Let r(j) = -j**3 - j + 1. Let q(o) = -3*r(o) + y(o). Factor q(h).
h*(h - 1)*(h + 2)
Let v(c) = c**2 - 2*c + 1. Let a be v(3). Let z(d) be the second derivative of 0 + 1/12*d**a - 1/6*d**3 + d + 0*d**2. Factor z(g).
g*(g - 1)
Suppose 4*y = -3*j + 9, 15*y - 12*y + 5*j - 4 = 0. Find r, given that 9*r - 9/2*r**2 + 3/4*r**y - 6 = 0.
2
Let z(n) be the third derivative of -n**8/12600 + n**7/1400 - n**6/900 + n**5/15 - 5*n**2. Let w(b) be the third derivative of z(b). Factor w(a).
-2*(a - 2)*(4*a - 1)/5
Let j be 9 + -4 - -1 - 1. Let n(k) be the third derivative of 1/160*k**6 + 1/12*k**3 + 0*k - 1/240*k**j + k**2 - 1/32*k**4 + 0 - 1/840*k**7. Factor n(a).
-(a - 2)*(a - 1)**2*(a + 1)/4
Let c(p) = p**4 - 2*p**3 + 2*p**2 - 2*p + 1. Let h = -12 + 27. Let s(d) = -3*d**4 + 5*d**3 - 4*d**2 + 5*d - 3. Let l(b) = h*c(b) + 6*s(b). Factor l(r).
-3*(r - 1)**2*(r + 1)**2
Factor -8/5*h**2 - 1/5*h**3 + 0 - 16/5*h.
-h*(h + 4)**2/5
Let u(y) be the first derivative of 3*y**4/4 - y**3/3 - 5*y**2/6 - y/3 - 11. Determine j so that u(j) = 0.
-1/3, 1
Let y(z) be the second derivative of z**10/10080 - z**9/3024 + z**8/2880 - z**7/7560 + z**4/6 - z. Let w(u) be the third derivative of y(u). Solve w(o) = 0.
0, 1/3, 1
Let m(i) be the second derivative of i**4/28 - 3*i**3/7 + 12*i**2/7 - 13*i. What is a in m(a) = 0?
2, 4
Let t be (-511)/(-35) - 2/(-5). Let k be (-9)/t - (0 + -1). Factor 0 + 2/5*p**3 + 2/5*p**4 - k*p - 2/5*p**2.
2*p*(p - 1)*(p + 1)**2/5
Suppose m + q - 11 = -2*m, -q + 1 = -2*m. Factor 22*g - 22*g + g**m.
g**2
Let s(g) = -8*g - 14. Let l be s(-2). Determine d, given that 6/5*d**3 + 0 + 3/5*d**4 + 0*d**l + 0*d = 0.
-2, 0
Let i(q) be the third derivative of -q**6/360 - q**5/40 - q**4/12 - q**3/6 + q**2. Let x(m) be the first derivative of i(m). Let x(t) = 0. What is t?
-2, -1
Let k(m) = -3*m + 8. Let x be k(2). Let y(f) be the second derivative of -7/60*f**5 + 2*f + 7/18*f**3 - 1/18*f**4 + 1/3*f**x + 0. Factor y(h).
-(h - 1)*(h + 1)*(7*h + 2)/3
Let g be (-7)/((-140)/65) + -1. What is l in 3/2*l - g*l**2 + 3/4*l**3 + 0 = 0?
0, 1, 2
Let i be 78/(-590) - 4/(-20). Let x = 193/236 - i. Factor 3/4*w**3 + 0 + x*w + 3/2*w**2.
3*w*(w + 1)**2/4
Suppose 52 = 6*a + 4. Factor 4*s**2 + 3*s**2 + 2*s - a*s**2.
-s*(s - 2)
Suppose 3 + 3 = 3*d. Let k be (d/(-4))/(5/(-30)). Suppose 0*y + k*y + 3*y**2 - 4 + y = 0. Calculate y.
-2, 2/3
Let y be -9 + 9/(-162)*-166. Factor -2/3*l - y*l**3 + 0 - 8/9*l**2.
-2*l*(l + 1)*(l + 3)/9
Let a be 30/(-8) + 5 + -1. Solve -1/2 + 1/2*l**2 + a*l**3 - 1/4*l = 0 for l.
-2, -1, 1
Suppose n + 8 = 10. Let i be 2/1 - 0 - 2. Suppose -4/3*t - 2/3*t**3 + i - 2*t**n = 0. Calculate t.
-2, -1, 0
Let c(f) be the second derivative of -2*f + 6*f**5 + f**4 + 0*f**3 + 0 + 0*f**2 + 77/10*f**6 - 121/14*f**7. Determine w so that c(w) = 0.
-2/11, 0, 1
Let f(l) be the third derivative of -l**8/168 - l**7/35 + 2*l**5/15 + 24*l**2. Find a such that f(a) = 0.
-2, 0, 1
Let q(g) = -2*g**2 + 6*g - 4. Let o(m) = -m**2 + 3*m - 2. Let n(r) = 7*o(r) - 4*q(r). Solve n(a) = 0.
1, 2
Suppose -i = 5*s + 4*i - 10, 0 = 5*s + 2*i - 1. Let c be ((-7)/14)/(s/4). What is q in 8*q**3 + c*q**4 + 1 + 1 - 3 + 12*q**2 + 3 + 8*q = 0?
-1
Let n(z) be the first derivative of -2 - 2/9*z - 1/6*z**4 - 5/9*z**2 - 14/27*z**3. Factor n(m).
-2*(m + 1)**2*(3*m + 1)/9
Let t be 2/10 + -1 + (-195)/(-150). Factor 0*f - 1/2*f**2 + t*f**3 + 0.
f**2*(f - 1)/2
Let n(p) b