- 6*l - 3. Let g be j(-7). Let u = 10 + g. Solve -1/4*o + 0 + 1/4*o**3 + u*o**2 = 0 for o.
-1, 0, 1
Let f(w) be the third derivative of 0*w**3 + 1/210*w**5 - 1/840*w**6 + 5*w**2 - 1/1470*w**7 + 0*w + 0 + 0*w**4. Suppose f(t) = 0. What is t?
-2, 0, 1
Let c(d) = 8*d + 34. Let w be c(-4). Suppose 22/5*b**4 - 24/5*b**3 + 0*b - 6/5*b**5 + 0 + 8/5*b**w = 0. What is b?
0, 2/3, 1, 2
Find o such that 25*o + 333*o**2 - 25*o**4 + 5*o**5 - 5 - 204*o**2 + 50*o**3 - 179*o**2 = 0.
1
Let k(j) = 2*j**2 + 19*j + 10. Let r be k(-9). Let y(c) be the first derivative of 0*c + r + 1/9*c**3 + 1/6*c**2. Factor y(x).
x*(x + 1)/3
Factor -9/2 + 5/2*q**2 + 3/2*q + 1/2*q**3.
(q - 1)*(q + 3)**2/2
Let u(o) be the first derivative of -o**6/30 + o**5/15 - o**4/24 - o**2 - 1. Let a(z) be the second derivative of u(z). Factor a(j).
-j*(2*j - 1)**2
Suppose 0*b = 3*b + 12. Let x(a) = 5*a**3 + a - 2. Let y(c) = -9*c**3 - c + 3. Let n(m) = b*y(m) - 7*x(m). What is k in n(k) = 0?
-2, 1
Let g(k) = -4*k**2 + 3. Let l(t) = 4*t - 4. Let b be l(7). Suppose -3*j - j - b = 0. Let f(w) = -17*w**2 + 13. Let y(a) = j*f(a) + 26*g(a). Factor y(q).
-2*q**2
Let o(l) = 3. Let z(x) = -7. Let c(a) = 5*o(a) + 2*z(a). Let b be (-1 - 1) + 2 + -3. Let n(p) = -p**2 - 2*p + 2. Let d(i) = b*c(i) + n(i). Factor d(v).
-(v + 1)**2
Let b(z) be the first derivative of 6/5*z + 4 - 9/10*z**2 + 1/5*z**3. Factor b(d).
3*(d - 2)*(d - 1)/5
Let i(l) = 13*l**5 + 7*l**4 + 24*l**3 + 25*l**2 + 4*l. Let n(z) = -6*z**5 - 4*z**4 - 12*z**3 - 12*z**2 - 2*z. Let j(q) = 4*i(q) + 9*n(q). Factor j(t).
-2*t*(t + 1)**4
Let h(p) be the third derivative of p**8/504 + p**7/45 + p**6/10 + 11*p**5/45 + 13*p**4/36 + p**3/3 + 27*p**2. Factor h(v).
2*(v + 1)**4*(v + 3)/3
Suppose -c = 5*c - 0*c. Find b such that 2/3*b**3 + c + 4/3*b + 2*b**2 = 0.
-2, -1, 0
Let k(u) be the first derivative of -6*u**5/55 - 9*u**4/11 - 24*u**3/11 - 30*u**2/11 - 18*u/11 + 13. Determine r, given that k(r) = 0.
-3, -1
Let y(t) be the second derivative of 2*t**6/15 + t**5/5 - t**4/3 - 2*t**3/3 + 13*t. Factor y(j).
4*j*(j - 1)*(j + 1)**2
Factor 6/7*m**2 - 3/7*m - 3/7.
3*(m - 1)*(2*m + 1)/7
Suppose -5*y = -27 - 3. Let h(r) = 8*r**3 + 8*r**2 - 6*r + 6. Let q(a) = -7*a**3 - 7*a**2 + 5*a - 5. Let s(w) = y*q(w) + 5*h(w). Factor s(x).
-2*x**2*(x + 1)
Let q(f) = -20*f**3 + 3*f**2 + 17. Let i(s) = 7*s**3 - s**2 - 6. Let y(z) = -17*i(z) - 6*q(z). Factor y(v).
v**2*(v - 1)
Suppose 2*g - 3*g = -6. Suppose 0 = -o - 2*o + g. Let 4/3*r**2 - 2*r**4 + o*r - 2/3*r**5 + 2/3 - 4/3*r**3 = 0. Calculate r.
-1, 1
Let d(w) be the second derivative of 0 + 4/5*w**2 + 1/30*w**4 - 4/15*w**3 - w. Factor d(y).
2*(y - 2)**2/5
Let w(f) be the third derivative of -f**8/2016 + f**7/1260 + 6*f**2. Factor w(k).
-k**4*(k - 1)/6
Let v(c) be the first derivative of -c**6/120 + c**5/20 - c**4/8 + c**3/3 + 4. Let l(a) be the third derivative of v(a). Factor l(s).
-3*(s - 1)**2
Let u = 54 - 51. Let y(j) be the first derivative of 3/2*j**4 + 2/3*j**3 - 4/5*j**5 - u*j**2 - 1 + 2*j. Solve y(p) = 0 for p.
-1, 1/2, 1
Factor 20 - 3 + 16*a - 1 + 4*a**2.
4*(a + 2)**2
Let j be (-4)/(-2) - (-1 + 1). Let k = -5 + 7. Factor 0*i**3 - i**3 + 3*i**j - 4*i**k.
-i**2*(i + 1)
Let r(m) be the second derivative of 5*m**5/4 - 5*m**4/6 - 8*m. Let r(y) = 0. Calculate y.
0, 2/5
Let b(o) be the second derivative of -o**5/60 + o**4/8 + o**2/2 - 2*o. Let l(g) be the first derivative of b(g). Find r, given that l(r) = 0.
0, 3
Suppose -b = 13*b + 30*b. Determine i so that -2/5*i**4 + 2/5*i + 2/5*i**2 - 2/5*i**3 + b = 0.
-1, 0, 1
Factor -373*v + 4*v**4 - 7*v**2 + 4*v**3 + 3*v**2 + 369*v.
4*v*(v - 1)*(v + 1)**2
Let q be (-14)/(-4) - (10 + -11). Let n(s) be the first derivative of q*s**2 + 0*s**3 + 6*s - 3/4*s**4 + 3. Suppose n(y) = 0. What is y?
-1, 2
Let q(f) be the third derivative of -f**5/12 + 5*f**3/6 - 8*f**2. Find r such that q(r) = 0.
-1, 1
Let b = -7 + 9. Factor y**3 + 4*y**b + 4 + 2*y**2 + 4 + 12*y.
(y + 2)**3
Let y(z) be the third derivative of -z**6/540 + z**5/180 + z**3/2 - 3*z**2. Let t(h) be the first derivative of y(h). Factor t(w).
-2*w*(w - 1)/3
Let u(n) = -2*n**4 - 4*n**3 + n + 5. Let o(k) = -k**4 - 3*k**3 - k**2 + k + 4. Let d(z) = -3*o(z) + 2*u(z). Let d(s) = 0. Calculate s.
-1, 1, 2
Suppose -2*p - 3*p = -10. Let l(i) = i**3 - 5*i**2 - 5*i - 4. Let x be l(6). What is g in 5/4*g**p + 1 - x*g - 1/4*g**3 = 0?
1, 2
Let k(c) be the third derivative of 2/15*c**5 + 0*c**3 + 0 + 0*c - 2*c**2 - 1/336*c**8 + 0*c**4 - 1/10*c**6 + 1/35*c**7. What is j in k(j) = 0?
0, 2
Let j(r) be the first derivative of -r**7/189 + r**6/180 + r**5/135 + 2*r**2 - 3. Let v(c) be the second derivative of j(c). Suppose v(p) = 0. What is p?
-2/5, 0, 1
Let y(l) be the first derivative of 0*l**2 + 0*l + 3/7*l**4 + 0*l**3 + 3 - 12/5*l**5 + 7/2*l**6. What is z in y(z) = 0?
0, 2/7
Let c(f) be the third derivative of -9*f**8/392 + 6*f**6/35 - 32*f**5/105 + 4*f**4/21 + f**2. Find x such that c(x) = 0.
-2, 0, 2/3
Let t(z) = 6*z**5 - 3*z**4 - 6*z**3 + 3*z. Let g(i) = 5*i**5 - 3*i**4 - 5*i**3 + i**2 + 2*i. Let w(o) = -3*g(o) + 2*t(o). Suppose w(m) = 0. Calculate m.
-1, 0, 1
Let j(r) be the first derivative of 3/10*r**2 - 1/5*r + 1 - 1/5*r**3 + 1/20*r**4. Solve j(b) = 0 for b.
1
Suppose 3*q = m - 5, 4*m + 0 = 3*q + 2. Let c be (q/42)/(14/(-84)). Find a such that 2/7*a - c*a**2 - 2/7*a**3 + 2/7 = 0.
-1, 1
Let w be 6 + (2/(-1) - 2). Determine n, given that 8/3*n**w + 4/3 - 10/3*n - 2/3*n**3 = 0.
1, 2
Let p(r) be the first derivative of 44*r**5/5 - 9*r**4 - 8*r**3/3 - 3. Factor p(q).
4*q**2*(q - 1)*(11*q + 2)
Let k(u) = 8*u + 1. Let f be k(1). Let h = f - 5. Let 4/3*j**h + 2/3*j**3 + 0*j**2 + 2/3*j**5 + 0*j + 0 = 0. What is j?
-1, 0
Let q(y) be the first derivative of -y**4/42 - 2*y**3/21 - y**2/7 - 3*y - 1. Let w(x) be the first derivative of q(x). Find a, given that w(a) = 0.
-1
Factor -1/6*o**2 + o - 5/6.
-(o - 5)*(o - 1)/6
Let w(f) be the first derivative of -3*f**5/25 - 3*f**4/20 - 39. What is s in w(s) = 0?
-1, 0
Let j(f) be the third derivative of f**6/900 + f**5/225 + f**2. Factor j(s).
2*s**2*(s + 2)/15
Let y be (-2)/(-6)*(17 - 2). Let 3*m**5 - m**y + m**5 - m**5 + 2*m**4 = 0. Calculate m.
-1, 0
Let g(j) = j**3 - 12*j**2 + 13*j - 18. Let b be g(11). Let x be (7 - b)/((-6)/(-4)). What is y in -1/2*y - 1/4*y**x - 1/4 = 0?
-1
Let h(x) = -10*x**2 - 2*x - 6. Let p(z) be the second derivative of -11*z**4/12 - z**3/2 - 7*z**2/2 + 9*z. Let l(f) = 7*h(f) - 6*p(f). What is a in l(a) = 0?
0, 1
Let f(h) be the second derivative of h**9/75600 - h**8/33600 - h**7/12600 + h**6/3600 - h**4/4 - 5*h. Let n(q) be the third derivative of f(q). Factor n(c).
c*(c - 1)**2*(c + 1)/5
Let q(x) be the second derivative of -x**6/15 - 7*x**5/30 + x**4/18 + 7*x**3/9 + 2*x**2/3 - 2*x. Find w such that q(w) = 0.
-2, -1, -1/3, 1
Let m(w) be the first derivative of -w**6/360 - w**5/90 - w**4/72 + w**2/2 - 2. Let v(h) be the second derivative of m(h). Find x such that v(x) = 0.
-1, 0
Let q be -3*(1/3 - 1). Let o be 1/q*(-2 - -2). Find p, given that o + 0 + 2*p + 3*p**2 - 4*p - p**3 = 0.
0, 1, 2
Let n = 31 - 43. Let w be 8/n*(-48)/14. Let -60/7*g**2 - 50/7*g**3 + 72/7*g - w = 0. Calculate g.
-2, 2/5
Let g(f) be the first derivative of 3/2*f**4 + 5 - 3/5*f**5 + 0*f - 3*f**2 + f**3. Factor g(u).
-3*u*(u - 2)*(u - 1)*(u + 1)
Let b(q) = -2*q**2 + 8*q. Let u(k) = -2*k**2 + 8*k - 1. Let m(j) = 5*b(j) - 6*u(j). Find h such that m(h) = 0.
1, 3
Let u(o) be the first derivative of 0*o**3 + 1/11*o**4 + 1 - 1/11*o**2 + 0*o**5 - 1/33*o**6 + 0*o. Suppose u(p) = 0. What is p?
-1, 0, 1
Let n(b) = -b + 7. Let a be n(4). Let j be (2 - 7/a)*-15. Factor -6*r**3 - 2*r**2 + 4*r**3 + 7*r - j*r + 2*r**4.
2*r*(r - 1)**2*(r + 1)
Suppose 0*y = 3*y. Let z(x) be the second derivative of 0*x**4 + y*x**3 + 2*x + 0 - 1/21*x**7 + 0*x**5 + 1/15*x**6 + 0*x**2. Factor z(m).
-2*m**4*(m - 1)
Let v = -12 + 24. Solve 3*k**5 + k + 3*k + 6*k**2 - 4*k + 15*k**3 + v*k**4 = 0.
-2, -1, 0
Let 13 + 7 - 5*l**5 - 35*l**3 + 11*l + 29*l + 5*l**2 - 25*l**4 = 0. What is l?
-2, -1, 1
Let n(f) be the first derivative of f**7/315 - f**6/180 - f**5/90 + f**4/36 - f**2/2 + 2. Let g(s) be the second derivative of n(s). Factor g(c).
2*c*(c - 1)**2*(c + 1)/3
Let u(q) be the third derivative of 3*q**8/196 + 11*q**7/490 - q**6/20 - 3*q**5/35 + q**