t j(v) be the first derivative of m(v). Factor j(u).
-(u - 3)**2/2
Suppose -3*k + 0*l + 12 = -3*l, l = 4*k - 10. Let d = 3/49 + 31/294. Find w, given that -d*w - 1/3*w**k + 0 = 0.
-1/2, 0
Let u(a) be the third derivative of -a**9/60480 + a**8/20160 - a**5/30 + 3*a**2. Let j(m) be the third derivative of u(m). Solve j(f) = 0.
0, 1
Let v(d) be the second derivative of -d**6/6 - d**5/4 + 13*d. Determine q so that v(q) = 0.
-1, 0
Let s(i) = -2*i**2 + 8*i + 6. Let h(a) = a + 3. Let l be h(-7). Let g(r) = 17*r - r**2 - 5 - 24*r + 2*r**2 + 0*r**2. Let x(q) = l*g(q) - 3*s(q). Factor x(k).
2*(k + 1)**2
Let q(w) = w + 8. Let z = -2 + -5. Let u be q(z). Find p, given that -u - 3*p + 2 + 2*p**2 + 1 - p**2 = 0.
1, 2
Suppose 9*w + 9 = -3*h + 4*w, -5*h = -5*w - 25. Let g(a) be the second derivative of -1/24*a**4 + 0 - 1/4*a**h - 3*a - 1/6*a**3. Factor g(k).
-(k + 1)**2/2
Let i(m) = 6*m - 9*m + 2*m**3 + 0*m**3 + 4*m. Let u(a) = 3*a**3 - a**2 + a. Let h(q) = -5*i(q) + 3*u(q). Determine v, given that h(v) = 0.
-2, -1, 0
Let l(b) = b**2 - b - 1. Let z(p) = -3*p**3 + 6*p**2 + 9*p - 15. Let d(c) = 3*l(c) - z(c). Determine r so that d(r) = 0.
-2, 1, 2
Let s(n) be the second derivative of n**7/63 - n**6/15 - n**5/30 + 7*n**4/18 - 4*n**2/3 - 5*n. Find w, given that s(w) = 0.
-1, 1, 2
Factor -1/6*u**2 - 1/6 + 1/3*u.
-(u - 1)**2/6
Let k = 11/50 - 1/50. Let m(t) be the second derivative of 1/2*t**4 + 1/30*t**6 + 2/3*t**3 + 2*t + 0 + 1/2*t**2 + k*t**5. Find p such that m(p) = 0.
-1
Solve -7*h**2 + 2*h**3 - 3*h**3 + 6*h**2 - 4*h + 5*h**2 = 0 for h.
0, 2
Let k(p) be the third derivative of p**6/228 - 4*p**5/285 + p**4/76 - p**2 - 40. Factor k(v).
2*v*(v - 1)*(5*v - 3)/19
Let i = 26830/43031 + -38/3489. Let j = i - -2/37. Factor -1/3*k + 1/3*k**5 + 0 - j*k**4 + 2/3*k**2 + 0*k**3.
k*(k - 1)**3*(k + 1)/3
Let v(y) be the second derivative of -y**6/105 - y**5/70 + y**4/14 + y**3/21 - 2*y**2/7 + 3*y. Find t such that v(t) = 0.
-2, -1, 1
Let w(y) = 2*y**4 - 2*y**3 - 4*y**2 + 2*y - 2. Let u(p) = -p**5 + 8*p**4 - 8*p**3 - 17*p**2 + 9*p - 9. Let n(v) = 2*u(v) - 9*w(v). Factor n(i).
-2*i**2*(i - 1)*(i + 1)**2
Let u = 12 + -9. Factor 36*g**2 - 3*g**3 - 38*g**2 + 7*g**u + 6*g**4.
2*g**2*(g + 1)*(3*g - 1)
Factor -l**4 + 0 + 19/3*l**2 - 11/3*l**3 - 5/3*l.
-l*(l - 1)*(l + 5)*(3*l - 1)/3
Let c = 3 - 0. Let t(p) be the first derivative of 0*p**2 - 1/14*p**4 - 2 - 2/21*p**c + 0*p. Solve t(m) = 0.
-1, 0
Suppose -5*u + 23 + 5 = n, 0 = 4*n - 12. Suppose 3*c - 10 - u = 0. Solve 2*j**4 + 2*j**c - 6*j**4 + 2*j**3 + 0*j**5 = 0.
0, 1
Let h be ((-8)/28)/(75/(-21)). Let w(d) be the first derivative of -1/15*d**6 - 1/5*d**2 + 1/5*d**4 + 2/5*d + 1 - 4/15*d**3 + h*d**5. Factor w(p).
-2*(p - 1)**3*(p + 1)**2/5
Let a be 124/(-28) + 4 - 114/(-70). Determine l so that -a*l**3 + 4/5*l**2 + 2/5*l**5 + 0 + 0*l**4 + 0*l = 0.
-2, 0, 1
Let i(n) = -2*n**5 - n**4 + n**3 - 1. Let v(s) = -56*s**5 - 56*s**4 + 76*s**3 + 144*s**2 + 32*s - 20. Let y(p) = -20*i(p) + v(p). Solve y(l) = 0.
-2, -1/4, 0, 2
Let j(g) be the second derivative of -g**6/30 - 7*g**5/40 - 3*g**4/8 - 5*g**3/12 - g**2/4 - 6*g. Let j(r) = 0. What is r?
-1, -1/2
Let p(j) be the third derivative of -j**8/33600 + j**7/12600 + 5*j**4/12 - 10*j**2. Let c(a) be the second derivative of p(a). Solve c(v) = 0.
0, 1
Let s = -3/17 - -26/51. Factor -g**2 - s*g**3 + 0*g + 4/3.
-(g - 1)*(g + 2)**2/3
Let d = 1493/1629 - 5/181. Suppose -8/9*l - d - 2/9*l**2 = 0. Calculate l.
-2
Let b be (-20)/(-60) + 4/12. What is r in 0 + b*r - 2/3*r**2 = 0?
0, 1
Let g = 2/151 - -137/1057. Let c(y) be the second derivative of 2/7*y**2 + g*y**3 + 0 - 4*y + 1/42*y**4. Find b such that c(b) = 0.
-2, -1
Let f(d) = -3*d**2 + 6*d + 9. Let r(l) = l**2 - 2*l - 3. Suppose -15 = -4*g + 17. Let w(i) = g*r(i) + 3*f(i). Find x, given that w(x) = 0.
-1, 3
Let w(s) = 3*s**4 + 5*s**3 - 12*s**2 - 8*s + 16. Let p(g) = 4*g**4 + 4*g**3 - 12*g**2 - 8*g + 16. Let n(z) = -5*p(z) + 6*w(z). Factor n(h).
-2*(h - 2)**3*(h + 1)
Let z(g) be the first derivative of 1/6*g**3 + 1/10*g**5 + 0*g - 1/4*g**4 + 1 + 0*g**2. Determine v, given that z(v) = 0.
0, 1
Let h be 1/1 + 12 + -2. Let r = 6 - 3. Suppose h*y**r + 15*y**2 - y + 2*y + 8*y + 2 + 3*y**4 = 0. Calculate y.
-1, -2/3
Let q(z) be the second derivative of -z**4/6 + 3*z**3/2 - 3*z**2/2 + 3*z. Let g(a) = -2*a**2 + 8*a - 2. Let j(y) = -7*g(y) + 6*q(y). Factor j(d).
2*(d - 2)*(d + 1)
Let y(z) be the first derivative of 16/33*z**3 + 4/11*z - 1/11*z**4 - 4/55*z**5 + 1/33*z**6 + 3 - 7/11*z**2. Factor y(j).
2*(j - 1)**4*(j + 2)/11
Let c be (2/4)/(2/8). Suppose -5*x + 6 = -3*z, -3*z + 23 = 5*x - 1. Factor -a**2 + 2*a**z + c*a**3 - 5*a**3.
-a**2*(a + 1)
Let r(j) be the first derivative of 0*j**2 + j**4 - 1 - 4/3*j**3 + 0*j. Factor r(v).
4*v**2*(v - 1)
Let t(b) be the third derivative of b**7/1260 + b**6/90 - 19*b**5/360 + 5*b**4/72 + 43*b**2. Suppose t(y) = 0. What is y?
-10, 0, 1
Let o(j) = j**4 - 20*j**3 - 24*j**2 - 14*j + 1. Let b(q) = q**4 + q**2 + q + 1. Let v(i) = -6*b(i) + o(i). Factor v(m).
-5*(m + 1)**4
Factor -5/2*o + 25 - 1/2*o**3 - 4*o**2.
-(o - 2)*(o + 5)**2/2
Suppose 8*t = 3*t + 10. Factor -6*s**2 + 2*s**3 - t*s**4 - s**4 - 5*s**3 + 6*s**4.
3*s**2*(s - 2)*(s + 1)
Let o(a) be the second derivative of 0*a**3 + 1/9*a**4 + 28/45*a**6 + 0 + 1/2*a**5 + 0*a**2 - 6*a. Factor o(u).
2*u**2*(4*u + 1)*(7*u + 2)/3
Let m be (4 - (-36)/(-10))*5. Factor -4/5 + 6/5*o - 2/5*o**m.
-2*(o - 2)*(o - 1)/5
Factor 4/7 + 12/7*d**2 + 4/7*d**3 + 12/7*d.
4*(d + 1)**3/7
Let l(z) = 1 + 2*z**2 + 1 - z**2 + 9*z. Let w be l(-9). Factor 12 + 0*v**w + 12*v + 3*v**2 + 0*v**2.
3*(v + 2)**2
Let w(q) be the second derivative of q**5/60 + q**4/24 - q**2/2 - 3*q. Let p(l) be the first derivative of w(l). Find y, given that p(y) = 0.
-1, 0
Determine l so that -3/2*l**2 - 9/2*l + 0 = 0.
-3, 0
Let o(c) be the third derivative of -c**8/84 + c**6/15 - c**4/6 + 9*c**2. Factor o(j).
-4*j*(j - 1)**2*(j + 1)**2
Let o(k) be the third derivative of 0 - 3*k**2 - 1/8*k**3 + 1/24*k**4 + 0*k - 1/240*k**5. Factor o(g).
-(g - 3)*(g - 1)/4
Let b(l) be the first derivative of -l**6/2 + 4*l**5/5 - l**4/4 + 7. Factor b(w).
-w**3*(w - 1)*(3*w - 1)
Suppose -4*t + 5 = -15. Factor 2*j - 3*j**3 + t*j**2 - 4*j**3 + j - j.
-j*(j - 1)*(7*j + 2)
Let x(i) = 17*i**2 + 2*i - 1. Let b be x(1). Let c(h) be the second derivative of h**4/12 + h. Let j(v) = 5*v**2. Let p(m) = b*c(m) - 4*j(m). Factor p(z).
-2*z**2
Factor -6/5*u**2 - 2/5*u + 6/5 + 2/5*u**3.
2*(u - 3)*(u - 1)*(u + 1)/5
Let d(u) be the first derivative of u**3/9 - u**2/2 + 2*u/3 - 1. What is g in d(g) = 0?
1, 2
Let q = -137 + 139. Solve -3/5*b - 12/5*b**q + 6/5 + 9/5*b**3 = 0 for b.
-2/3, 1
Let r(g) be the first derivative of -3*g**5 + 55*g**4/4 - 40*g**3/3 - 10*g**2 - 12. Factor r(l).
-5*l*(l - 2)**2*(3*l + 1)
Factor -7*s**3 + 12*s**3 + 10*s**2 - 10*s**3.
-5*s**2*(s - 2)
Let g be 54/10 + (-20)/50. Let c(t) be the second derivative of 0 - t + 0*t**2 + 2/21*t**4 - 3/35*t**g - 1/147*t**7 - 1/21*t**3 + 4/105*t**6. Factor c(v).
-2*v*(v - 1)**4/7
Let u(c) be the first derivative of c**5/60 + c**4/24 - c**2 + 6. Let d(b) be the second derivative of u(b). Let d(t) = 0. What is t?
-1, 0
Let r(l) be the second derivative of -1/24*l**4 + 0*l**3 - 2*l + 0*l**2 + 1/60*l**6 - 1/40*l**5 + 1/84*l**7 + 0. Determine m, given that r(m) = 0.
-1, 0, 1
Suppose -4*b + 24 = 2*m, 2*b = 2*m - 0*m. Solve -2/5*n**b + 4/5*n + 0 + 2/5*n**5 - 6/5*n**3 + 2/5*n**2 = 0 for n.
-1, 0, 1, 2
Let k(i) = i**5 - i**2 + i - 1. Let c(q) = 2*q**5 + 2*q**4 + q**3 - q**2 + q - 1. Let y(z) = -z - 18. Let f be y(-15). Let m(n) = f*k(n) + 3*c(n). Factor m(v).
3*v**3*(v + 1)**2
Let p(d) be the third derivative of -d**6/600 - d**5/20 - 5*d**4/8 - 25*d**3/6 - 8*d**2. Factor p(c).
-(c + 5)**3/5
Let j(w) be the third derivative of 3*w**6/40 + w**5/20 - 3*w**4/8 - w**3/2 + 45*w**2 - 2. Factor j(r).
3*(r - 1)*(r + 1)*(3*r + 1)
Let c = 6 - 8. Let x be (1/(-5))/(c/4). Suppose 0*z + 2/5*z**3 + 0 + x*z**2 = 0. What is z?
-1, 0
Suppose -7*c + 21 = -4*c. Let t(k) = -9*k**3 + 9*k**2 + 2*k + 5. Let s(b) = -4*b**3 + 4*b**2 + b + 2. Let n(j) = c*s(j) - 3*t(j). Solve n(m) = 0.
-1, 1
Let b(k) = -3*k**2 - 19*k - 23. Let t = -5 - -12. Let j(z) = 2*z**2 + 10*z + 12. Let u(n) = t*j(n) + 4*b(n). Factor u(l).
2*(l - 4)*(l + 1)
Let z(j) = j