3*b - 3. Let c(p) be the first derivative of s(p). Determine m so that c(m) = 0.
-1, 0, 1
Let j(k) = 1. Let s(m) = -m**2 + 5*m + 7. Let o(h) = -4*j(h) - s(h). Let u be o(9). Solve t**3 - 25 + u - t = 0 for t.
-1, 0, 1
Factor 4/9*g**2 + 2/9*g**4 - 2/3*g**3 + 0 + 0*g.
2*g**2*(g - 2)*(g - 1)/9
Let b(k) be the first derivative of -k**4/14 + 4*k**3/21 + k**2/7 - 4*k/7 - 7. Factor b(n).
-2*(n - 2)*(n - 1)*(n + 1)/7
Let l(t) be the third derivative of -1/1155*t**7 + 0 + 1/330*t**5 + 0*t**4 + 0*t**6 + t**2 + 0*t**3 + 0*t. What is n in l(n) = 0?
-1, 0, 1
Let v(n) be the second derivative of -n**7/360 + n**6/540 - n**3/2 - 2*n. Let t(f) be the second derivative of v(f). Factor t(b).
-b**2*(7*b - 2)/3
Let d be (-56)/(-64) + (-1)/4. Let r = -9/40 + d. Factor 0 + 0*j - 2/5*j**2 - r*j**3.
-2*j**2*(j + 1)/5
Suppose 3*k = -5*l + 3 + 7, -3*k + 16 = -l. Let n(i) be the third derivative of 0*i + 0 - 1/300*i**6 + 1/60*i**4 - i**2 + 0*i**k + 0*i**3. Solve n(o) = 0 for o.
-1, 0, 1
Find a, given that 7*a**2 + a**5 + 3*a**4 - 4*a**2 - 2*a**2 + 0*a**5 + 3*a**3 = 0.
-1, 0
Suppose 15 = -2*q - 5. Let b = 32/3 + q. Factor -b*s**3 - 2*s**2 + 0*s + 8/3.
-2*(s - 1)*(s + 2)**2/3
Let h be (-32)/5*15/(-14). Let 8/7 + 78/7*z**3 + 14*z**2 + 20/7*z**4 + h*z = 0. Calculate z.
-2, -1, -1/2, -2/5
Let l(p) be the second derivative of -p**4/12 + 5*p**3/6 + 6*p. Let m be l(5). Let 0*k - 2/5*k**3 + m*k**2 + 0 = 0. Calculate k.
0
Let x = 14 - 4. Let g(f) = 4*f**4 - 4*f**3 - 4*f**2 + 4*f - 10. Let v(b) = b**4 - b**3 - b**2 + b - 3. Let u(y) = x*v(y) - 3*g(y). Solve u(j) = 0.
-1, 0, 1
Let x = 6/55 + 32/715. Factor -x*w**2 - 2/13*w + 4/13.
-2*(w - 1)*(w + 2)/13
Let a(g) be the second derivative of g**4/4 - g**2/2 - g. Let m be a(1). Suppose l**3 - 1 - l**4 + m - 3*l**3 + 2*l = 0. Calculate l.
-1, 1
Let a(p) be the second derivative of -2*p**2 + 3/5*p**5 - 7/3*p**4 - 9*p + 0 + 10/3*p**3. Suppose a(f) = 0. Calculate f.
1/3, 1
Let a(w) be the first derivative of w**6/15 + 8*w**5/25 + 2*w**4/5 - 4*w**3/15 - w**2 - 4*w/5 + 24. Factor a(z).
2*(z - 1)*(z + 1)**3*(z + 2)/5
Let q = 1/64 + 15/64. Factor t - q - 3/4*t**2.
-(t - 1)*(3*t - 1)/4
Let d(t) be the third derivative of -t**7/735 - t**6/420 + t**5/105 - 12*t**2. What is w in d(w) = 0?
-2, 0, 1
Suppose 0 = 5*t - 0*t - 10. Factor 0*o**2 - 3*o**4 + o**3 - o**t + 6*o**2 - 3 - o + 1.
-(o - 1)**2*(o + 1)*(3*o + 2)
Let m be 10/(-15)*(-3 + 15/6). Determine d so that -m*d**5 + 1/3*d**3 + 0*d - 1/3*d**2 + 0 + 1/3*d**4 = 0.
-1, 0, 1
Let c(j) be the second derivative of 2*j**6/5 + 7*j**5/5 - 3*j**4 - 14*j**3/3 + 12*j**2 + j + 1. Solve c(v) = 0 for v.
-3, -1, 2/3, 1
Let p be -1 - 1/2*(-30)/9. Determine b so that 2/3 + 2/3*b**3 - p*b**2 - 2/3*b = 0.
-1, 1
Let o(d) = -d + 12. Let k be o(8). Let s(b) be the third derivative of -1/5*b**5 - 1/3*b**k - 1/15*b**6 - 1/3*b**3 + 0*b + 0 - 2*b**2 - 1/105*b**7. Factor s(w).
-2*(w + 1)**4
Let w = 17 + -16. Let u(q) be the first derivative of -9/20*q**5 - 29/6*q**3 - w + 9/2*q**2 + 39/16*q**4 - 2*q. Solve u(s) = 0.
2/3, 1, 2
Let w be 1/3 - (-177)/9. Suppose 4*j = -0*j - w. Let a(h) = h**2 - h - 5. Let u(k) = k**2 - k - 4. Let z(x) = j*u(x) + 4*a(x). Let z(o) = 0. Calculate o.
0, 1
Let h(y) be the second derivative of 1/12*y**4 + 0*y**2 - 1/3*y**3 - 2*y + 0 + 3/20*y**5. Solve h(m) = 0.
-1, 0, 2/3
Let r(t) be the third derivative of t**5/150 - t**4/10 + t**3/3 - 2*t**2. Factor r(h).
2*(h - 5)*(h - 1)/5
Let s = 13 + -8. Factor -8*p**2 + 98*p**s + 55*p**3 - 6*p**3 - 154*p**4 - 6*p**3 + 21*p**3.
2*p**2*(p - 1)*(7*p - 2)**2
Let f = 7 + -3. Suppose 0*n = 5*n - 3*o - 19, 2*o = -n - f. Factor -4/3*k**4 - 4/3*k**2 - n*k**3 - 1/3*k**5 + 0 - 1/3*k.
-k*(k + 1)**4/3
Let m(t) be the third derivative of 1/168*t**8 + 0*t**4 + 0*t**3 + 0*t + 1/30*t**5 + 1/35*t**7 + 0 + t**2 + 1/20*t**6. Factor m(k).
2*k**2*(k + 1)**3
Let l = -5 - -5. Let t(c) be the third derivative of -2*c**2 + 0*c + 1/60*c**6 + l + 1/210*c**7 + 0*c**4 + 1/60*c**5 + 0*c**3. Suppose t(q) = 0. What is q?
-1, 0
Let o be (3/(-7))/((-366)/427). Suppose -1/2 - 1/2*a**3 + o*a**2 + 1/2*a = 0. What is a?
-1, 1
Let c be ((-2)/5)/(((-2)/(-8))/(-1)). Determine p so that 0*p**4 + 18/5*p**5 - 26/5*p**3 + 0*p**2 + c*p + 0 = 0.
-1, -2/3, 0, 2/3, 1
Factor 3/2*n - 3/2*n**2 + 0.
-3*n*(n - 1)/2
Suppose 4*k - 1 - 11 = 0. Factor -w + 4*w**4 - 4*w + k*w + 2*w**5 - 4*w**2.
2*w*(w - 1)*(w + 1)**3
Factor 5*g**3 - 12*g + 7*g**3 + 12 - 10*g**2 - 3*g**4 + g**2.
-3*(g - 2)**2*(g - 1)*(g + 1)
Let v(f) = -8*f**3 + 6*f**2 - 6*f + 8. Let n(b) = b**3 - b**2 + b - 1. Let c(g) = 18*n(g) + 2*v(g). Suppose c(m) = 0. Calculate m.
1
Let t be (-1)/(-3) + 2/30. Let l = -73/5 - -15. Determine o, given that l*o**3 - t - 2/5*o + 2/5*o**2 = 0.
-1, 1
Suppose 4*f = -1 - 3. Let p(i) = 0*i**3 + 3*i**3 - 3*i**2 - 7*i**4 + 3*i + 4*i**3. Let l(y) = -y**4 + y**3 - y**2 + y. Let n(r) = f*p(r) + 5*l(r). Factor n(c).
2*c*(c - 1)**2*(c + 1)
Let q = 13 - 7. Let k be (q/(-20))/(12/(-10)). Suppose -1/4*m + 1/4*m**3 + k - 1/4*m**2 = 0. What is m?
-1, 1
Let n(a) = -a**2 - 14*a - 13. Let l be n(-13). Find t such that l*t**2 + 2/9*t**4 - 2/9 + 4/9*t**3 - 4/9*t = 0.
-1, 1
Let p be (-406)/(-42) - 2/3. Let j be (-2 + 2)*(-3)/p. Factor j + 0*c - 1/2*c**2.
-c**2/2
Suppose 5*p - 18 = -3. Factor -14*w**2 - p*w - 318*w**3 + 7*w - 6*w**4 + 334*w**3.
-2*w*(w - 1)**2*(3*w - 2)
Find r, given that -13*r - 6*r**3 - 10*r**3 - 4*r**4 + 13*r - 16*r**2 = 0.
-2, 0
Let h(n) be the first derivative of 0*n**2 - 1/12*n**3 - 2 - 1/24*n**4 + 1/60*n**6 - 2*n + 1/40*n**5. Let a(d) be the first derivative of h(d). Solve a(y) = 0.
-1, 0, 1
Let f be (-5 - 2/(-1)) + -5. Let k be (-2)/(-12) + (-4)/f. Determine w, given that 1/3*w**2 + 1/3 - k*w = 0.
1
Let k(b) = -27*b**2 + 9*b - 15. Let z(x) = -7*x**2 + 2*x - 4. Let d(g) = 4*k(g) - 15*z(g). Let d(r) = 0. Calculate r.
0, 2
Factor j**3 - j**5 + 0*j**3 + 145*j**4 - j**2 - 144*j**4.
-j**2*(j - 1)**2*(j + 1)
Suppose -5 = -2*s + 7. Suppose 5*u + 2*l - 14 = 0, 3*l + l = u + s. Factor -5*m**4 + 4*m**4 + m**2 + 0*m**u + 0*m**4.
-m**2*(m - 1)*(m + 1)
Factor 3/2*s**4 + 0 + 0*s**2 + s**3 + 1/2*s**5 + 0*s.
s**3*(s + 1)*(s + 2)/2
Let u(q) be the third derivative of 0 - 7*q**2 - 2/3*q**3 + q**4 - 3/5*q**5 + 0*q. Factor u(i).
-4*(3*i - 1)**2
Suppose 0 = 2*c - 0*c - 2. Let j be 14/8 + c/(-2). Let -1/2*v**2 + j*v - 5/4*v**3 + 1/2 = 0. What is v?
-1, -2/5, 1
Let x(o) be the first derivative of -3*o**3 + 3/4*o**4 + 5 + 0*o + 3*o**2. Factor x(d).
3*d*(d - 2)*(d - 1)
Suppose 0 = s - i, 0 = s + 2*i - i. Let y(w) be the second derivative of 0 + 2/15*w**6 + 0*w**3 + w + s*w**4 - 1/10*w**5 - 1/21*w**7 + 0*w**2. Factor y(v).
-2*v**3*(v - 1)**2
Let t(z) = -35*z + 25. Let f(r) = -r**2 + 35*r - 26. Let y(o) = -5*f(o) - 4*t(o). Factor y(x).
5*(x - 6)*(x - 1)
Let x(z) be the second derivative of z**4/36 + 7*z. Find f such that x(f) = 0.
0
Let w = -44 + 44. Factor -2/7*q + w - 4/7*q**2 - 2/7*q**3.
-2*q*(q + 1)**2/7
Let s be (-8)/((-24)/6) + (-15)/12. Suppose 1/4*o**2 + 1/2 - s*o = 0. Calculate o.
1, 2
Let b = 29/26 + -8/13. Let k(q) be the first derivative of 0*q + b*q**4 - 1/3*q**3 + 0*q**2 + 2 - 1/5*q**5. Solve k(p) = 0.
0, 1
Let p(u) be the second derivative of -u**4/6 + u**3/3 - 4*u. Factor p(q).
-2*q*(q - 1)
Factor -11 + 9 + 0*z**3 + 5*z**3 + 0*z**3 + 9*z - 12*z**2.
(z - 1)**2*(5*z - 2)
Let v(w) be the second derivative of 0 - 3/2*w**2 - 3*w - w**3 - 1/4*w**4. Find y such that v(y) = 0.
-1
Let f(s) be the third derivative of s**7/210 - s**6/40 + s**5/20 - s**4/24 + 3*s**2. What is t in f(t) = 0?
0, 1
Let a(y) be the second derivative of 3*y**5/25 + 9*y**4/10 + 12*y**3/5 + 12*y**2/5 - 13*y. Factor a(i).
6*(i + 2)**2*(2*i + 1)/5
Suppose 5*b = 16 - 1. Suppose 0 = w + b*w. Find s, given that -10*s + w + 0 + 27*s**2 + 4*s = 0.
0, 2/9
Let x(r) = -r + 10 + 4*r - 5*r + 3*r. Let n be x(-7). Solve 5 - 8*g**n + 0*g**3 - 5 - 1 + 3*g**4 + 6*g**2 = 0 for g.
-1/3, 1
Determine f so that -27*f**4 - 8824/3*f**2 - 400/3 - 552*f**3 - 3680/3*f = 0.
-10, -2/9
Factor -2*a**4 + 94*a**2 - 207*a**2 + 103*a**2 - 4*a - 8*a**3.
-2*a*(a + 1)**2*(a + 2)
Let i(k) be the second derivative of -k**6/30 - 4*k**5/15 - 2*k**4/3 + 5*k**2/2 - 3*k. Let b(m) be the first derivative of i(m). Let b(j) = 0. Calculate j.
-2, 0
Let q(w) = 4*w**3 + 7*w**2 + 12*w + 9. Let l(p) = 2*p**3 +