 2/19*b + 48/19*b**3 + 14/19*b**5 - 20/19*b**2 - 44/19*b**4.
2*b*(b - 1)**3*(7*b - 1)/19
Let q(i) be the third derivative of 0*i**3 - 1/12*i**4 + 0*i - 2*i**2 + 1/30*i**5 + 0. Suppose q(y) = 0. Calculate y.
0, 1
Suppose 3*m - 4*l = 0, 18*l + 11 = 2*m + 19*l. Suppose 2*s - 10 = -2*d + 5*d, 3*s = -d + 4. Factor 4/7*p + 0 - 2*p**s + 16/7*p**3 - 6/7*p**m.
-2*p*(p - 1)**2*(3*p - 2)/7
Factor 6/5*j**3 + 0*j + 0 + 0*j**2 + 9/5*j**4 + 3/5*j**5.
3*j**3*(j + 1)*(j + 2)/5
Let a(u) be the second derivative of 0*u**2 - 1/6*u**3 + 2/15*u**6 - 1/42*u**7 + 0 - 3/10*u**5 - 2*u + 1/3*u**4. Factor a(q).
-q*(q - 1)**4
Suppose -6*n = -2*n - 20. Let l be n - 3/(3/1). Let 3*j**2 - l*j**2 + j + j**4 + 0*j**4 - j**3 = 0. What is j?
-1, 0, 1
Let x = -270 + 523/2. Let i = 53/6 + x. Solve 4/3*r - 1/3 + 4/3*r**3 - i*r**4 - 2*r**2 = 0 for r.
1
Suppose 0*z - 4*z = 0. Factor -9*b**2 + 0*b + z*b + 8*b**2.
-b**2
Let o(t) be the second derivative of t**7/84 + t**6/20 - 3*t**5/40 - 11*t**4/24 - t**3/2 + 10*t. Determine z so that o(z) = 0.
-3, -1, 0, 2
Let c(b) be the second derivative of -b**4/4 + b**3/2 + 3*b**2 + 18*b. Solve c(n) = 0.
-1, 2
Suppose -w + 5 = 5*m, -2*m - 3 = -2*w + 7. Find f such that 2/5*f + m + 2/5*f**2 = 0.
-1, 0
Let y = -261 + 265. Solve 22/7*g**3 - 22/7*g - 4/7 + y*g**4 - 24/7*g**2 = 0 for g.
-1, -1/2, -2/7, 1
Let y(z) = z**3 - z**2 - z + 1. Let l(d) = d**4 + 6*d**3 - d**2 - 3*d + 3. Let j(r) = l(r) - 3*y(r). Let j(w) = 0. Calculate w.
-2, -1, 0
Let q(b) be the first derivative of b**5 - 5*b**4/2 - 5*b**3 + 20*b**2 - 20*b - 9. Find h such that q(h) = 0.
-2, 1, 2
Let a(q) be the second derivative of 7*q**5/50 + 22*q**4/15 + 4*q**3/5 - 3*q + 21. Factor a(b).
2*b*(b + 6)*(7*b + 2)/5
Let k be -18*14/105*6/(-4). Factor -k + 12/5*l - 2/5*l**2.
-2*(l - 3)**2/5
Suppose 0*r = -2*s + 3*r + 71, s - 29 = -5*r. Find b, given that -221*b**3 + 11*b**3 - 12 - 5*b**2 - 181*b**4 + s*b**4 + 60*b + 14*b**2 = 0.
-1, 2/7
Let s(x) = -19*x**4 - 60*x**3 - 89*x**2 - 41*x + 7. Let w(n) = 6*n**4 + 20*n**3 + 30*n**2 + 14*n - 2. Let k(y) = 2*s(y) + 7*w(y). Determine v so that k(v) = 0.
-2, -1, 0
Let u(f) be the third derivative of 0*f + 3*f**2 + 1/20*f**5 - 1/8*f**4 - 1/6*f**3 - 1/120*f**6 + 0. Let v(c) be the first derivative of u(c). Factor v(j).
-3*(j - 1)**2
Let f(w) = w**5 - w**3 + w**2 + 1. Let h(o) = -3*o**5 - 3*o**4 + 4*o**3 + 4*o**2 - o - 5. Let i(a) = 2*f(a) + h(a). Let i(r) = 0. Calculate r.
-3, -1, 1
Let p be 0*1/(-5)*(-5)/(-2). Solve 2/7*g - 2/7*g**3 + p*g**2 + 0 = 0.
-1, 0, 1
Let h be 6/9 + 12/(-18). Let f(a) be the first derivative of 1/2*a**2 - 1/4*a**4 + 1/5*a**5 + h*a + 1 - 1/3*a**3. Find w, given that f(w) = 0.
-1, 0, 1
Suppose 5*o = -2*l + 6, 3*o + 9 = 3*l + 5*o. Factor -8*t**l + 11 + 13 - 26 + 8*t + 2*t**2.
-2*(t - 1)*(t + 1)*(4*t - 1)
Suppose -3*h - 4 = -4*c + 4, -5*c + 5*h + 15 = 0. Let u be c*(-6)/(-3)*-1. Find m such that 0 + 2/7*m**3 + 0*m + 2/7*m**4 - 2/7*m**u - 2/7*m**5 = 0.
-1, 0, 1
Let o(q) be the third derivative of -q**2 + 0*q**5 - 1/6*q**4 + 1/30*q**6 + 1/3*q**3 + 0*q - 1/105*q**7 + 0. Factor o(h).
-2*(h - 1)**3*(h + 1)
Let y = 117/74 + -3/37. Let c = 2 - y. Factor 1/2*d + 0 - d**2 + c*d**3.
d*(d - 1)**2/2
Let t(h) = h**4 + h**3 - h**2 + h. Let n(g) = -343*g**5 - 983*g**4 - 675*g**3 - 173*g**2 - 19*g. Let x(q) = -5*n(q) - 15*t(q). Solve x(f) = 0 for f.
-2, -2/7, 0
Let h(s) be the first derivative of s**6/540 - s**5/90 + s**4/36 - s**3 - 5. Let l(n) be the third derivative of h(n). Let l(i) = 0. What is i?
1
Let f be (-1)/(-2) + (-34)/28 - -1. Determine p so that f*p**3 + 0*p + 2/7*p**2 + 0 = 0.
-1, 0
Let c(t) be the first derivative of -5 + 3/2*t - 1/2*t**2 - 1/6*t**3. Factor c(i).
-(i - 1)*(i + 3)/2
Let o be 52/156*9/7. Let -6/7 + 9/7*x**3 + o*x**2 - 9/7*x + 3/7*x**4 = 0. What is x?
-2, -1, 1
Let r be (-4 - -2) + 6/1. Let f = r + -1. Factor -10*a**4 - 2*a**4 - 7*a**5 + 2*a**3 - 4*a**f + 3*a**4.
-a**3*(a + 1)*(7*a + 2)
Suppose 6 = 5*q - 64. Find o, given that -5*o**2 + 6*o**2 + q*o**3 + o**2 - 14*o**5 - 2*o**4 = 0.
-1, -1/7, 0, 1
Let q(c) be the first derivative of c**2 + 8 + 2/9*c**3 + 4/3*c. Factor q(b).
2*(b + 1)*(b + 2)/3
Let d(w) be the first derivative of -w**6/70 - w**5/140 + w**4/14 + w**3/14 + 2*w**2 - 3. Let b(r) be the second derivative of d(r). Solve b(o) = 0 for o.
-1, -1/4, 1
Suppose -3*x = -4*t - 3, 2 = 2*t + 2*x - 0. Let k(w) = w + 4. Let p be k(t). Factor 0*z**3 - 6*z**2 - 1 - 4*z - 7*z**3 - z**p + 3*z**3.
-(z + 1)**4
Let u be (1 - 1*3) + (-957)/(-435). Let q(t) be the first derivative of 0*t - 2 - 3/10*t**2 + u*t**3. Factor q(d).
3*d*(d - 1)/5
Let r(x) = -51*x**2 + 28*x - 4. Let d(j) = 409*j**2 - 224*j + 32. Let k(z) = -6*d(z) - 51*r(z). Find q, given that k(q) = 0.
2/7
Let k(x) = -x**3 + x + 58. Let i be k(0). Let d be i/(-10) - -3 - -3. Factor -1/5*f**3 - 1/5*f**2 + d + 1/5*f.
-(f - 1)*(f + 1)**2/5
Let y = 108223/7 - 15741. Let o = -280 - y. Factor -2/7 + 2/7*u**4 + 0*u**2 + o*u - 4/7*u**3.
2*(u - 1)**3*(u + 1)/7
Let k(x) be the first derivative of -1/4*x**4 - 7 + 1/2*x**2 + x - 1/3*x**3. Suppose k(f) = 0. Calculate f.
-1, 1
Let m = -1233/13 + 95. Factor 0 + m*v**2 - 2/13*v.
2*v*(v - 1)/13
Let m(y) = 3*y**2 - 2*y**2 - 14 + 7 + 9 + 12*y. Let s be m(-12). Factor -2/3*h + 0*h**s + 2/3*h**3 + 0.
2*h*(h - 1)*(h + 1)/3
Let u be -3 + 15/(3/1). Let v be 3/u*4/12. Find b such that 5/4*b + v - 1/2*b**2 - 5/4*b**3 = 0.
-1, -2/5, 1
Suppose -2 = 5*z - 17. Suppose -2*p**3 + 0*p**4 + 2*p**2 - 2*p**3 - p**4 + 5*p**z = 0. What is p?
-1, 0, 2
Let x(v) be the first derivative of v**3 + 3/2*v**2 + 5 - 6*v. Suppose x(y) = 0. Calculate y.
-2, 1
Let k(r) = 2*r**3 - 15*r**2 + 27*r + 3. Let v be k(3). Factor 2/11*u**4 + 4/11 - 14/11*u - 10/11*u**v + 18/11*u**2.
2*(u - 2)*(u - 1)**3/11
Let o(g) = -g**3 - 4*g**2 - 2*g + 1. Let b be o(-1). Factor -1/5*q**3 - 1/5*q**2 + b + 1/5*q**4 + 1/5*q.
q*(q - 1)**2*(q + 1)/5
Let v = -9 - -11. Let o(j) = 5*j**4 - 5*j**3 + 2*j**2. Let f(h) = h**4 - h**3 + h**2. Let i(z) = v*f(z) - o(z). Factor i(t).
-3*t**3*(t - 1)
Factor 1/5*m**2 - 3/5*m + 2/5.
(m - 2)*(m - 1)/5
Let y be (8 - 4 - 4) + 2. Factor 0 + 4/3*b + 2/3*b**y.
2*b*(b + 2)/3
Let l(f) = -29*f**3 + 41*f**2 - 29*f - 17. Let h(q) = 5*q**3 - 7*q**2 + 5*q + 3. Let r(c) = -34*h(c) - 6*l(c). Find v, given that r(v) = 0.
0, 1
Let i(k) be the first derivative of k**6/30 - k**5/30 - k**4/12 + k**2 + 2. Let q(w) be the second derivative of i(w). Factor q(o).
2*o*(o - 1)*(2*o + 1)
Let w = 17 - 47. Let k = 274/9 + w. Factor -2/9*d**2 + 0 - k*d.
-2*d*(d + 2)/9
Let i(l) be the third derivative of 1/105*l**5 + 0*l**3 + l**2 + 1/420*l**6 + 0*l + 0*l**4 + 0 - 8/735*l**7 + 5/1176*l**8. Factor i(x).
2*x**2*(x - 1)**2*(5*x + 2)/7
Let c(f) be the first derivative of -2 - 1/54*f**4 + 0*f**3 - 1/270*f**5 - 3/2*f**2 + 0*f. Let i(s) be the second derivative of c(s). Factor i(b).
-2*b*(b + 2)/9
Suppose 3*v - 5*i = -v - 1, -i + 5 = 0. Let p(t) be the second derivative of 0*t**4 + 1/15*t**v + 2/3*t**3 + 0 - t**2 - 1/5*t**5 + 3*t. Factor p(g).
2*(g - 1)**3*(g + 1)
Let m(r) = r. Let u(j) = -j**4 + j**3 + j**2 + 3*j. Let q(y) = -y**2 + y + 1. Let f be q(1). Let b(l) = f*u(l) - 4*m(l). Let b(k) = 0. What is k?
-1, 0, 1
Let u(h) = h**3 + 9*h**2 - 3*h - 9. Let g be u(-9). Let m = g + -13. Factor 4*a**2 - a**2 - a**3 + a**2 - m*a**2.
-a**2*(a + 1)
Let t(k) be the third derivative of -1/240*k**6 + 5*k**2 - 1/420*k**7 + 0*k**3 + 0*k + 0 + 1/120*k**5 + 1/48*k**4. Factor t(y).
-y*(y - 1)*(y + 1)**2/2
Let m(b) = 10*b**4 + 13*b**3 - 32*b**2 - 49*b - 16. Let g(d) = -d**4 - d**3 + d. Let k(o) = 3*g(o) + 3*m(o). Factor k(y).
3*(y - 2)*(y + 2)*(3*y + 2)**2
Let y(j) be the second derivative of 0*j**2 - 1/12*j**4 - 1/15*j**5 - 1/60*j**6 + 4*j + 0 - 1/3*j**3. Let x(k) be the second derivative of y(k). Factor x(f).
-2*(f + 1)*(3*f + 1)
Let v be 2/2*-3 - 170/(-30). Find n, given that 0 - 10*n**3 - 2/3*n - 26/3*n**4 - v*n**5 - 14/3*n**2 = 0.
-1, -1/4, 0
Let v be 336/33 - (-2)/(-11). Solve 4*t**4 - 8*t**3 + v*t**3 - 3*t**4 = 0 for t.
-2, 0
Suppose 3*i - t + 84 = 2*t, 2*i + 53 = -t. Let o be (-4)/((-4)/((-60)/i)). Factor 2/9 + 10/9*f + 2/9*f**5 + o*f**3 + 10/9*f**4 + 20/9*f**2.
2*(f + 1)**5/9
Let r(v) = 28*v**3 - 18*v**2 - 10*v + 12. Let s(k) = -k**3 + k - 1. Let f(d) = -r(d) - 12*s(d). Find j such that f(j) = 0.
0, 1/8