2 = 0.
-3, -1, 2
Let c(f) be the first derivative of f**4/2 - 8*f**3/3 + 5*f**2 - 4*f - 7. Determine o so that c(o) = 0.
1, 2
Suppose 0 = -4*m + 5*m - 4. Factor -m - 4 + 4*d**2 + 4*d + 8.
4*d*(d + 1)
Suppose 43 = q + 39. Factor -1/2*d**3 + 0*d - 1/2*d**q + 0 + 0*d**2.
-d**3*(d + 1)/2
Let j(k) be the second derivative of k**7/10080 + k**6/960 + k**5/240 + k**4/4 - 3*k. Let c(w) be the third derivative of j(w). Factor c(i).
(i + 1)*(i + 2)/4
Let f = 7 - 7. Suppose -12 + f = 4*t + 5*a, 5*t - 2 = -2*a. Factor -6*g - 2*g**t + 0*g**2 + g**3 + 7*g.
g*(g - 1)**2
Factor 2/3*l**3 + 0*l + 0 - 2/9*l**4 - 4/9*l**2.
-2*l**2*(l - 2)*(l - 1)/9
Let n be 3/2*(-60)/(-315). Factor 6/7*d**4 - 4/7*d**3 - 4/7*d**2 - 2/7 + 6/7*d - n*d**5.
-2*(d - 1)**4*(d + 1)/7
Let m(s) be the second derivative of s**7/84 + s**6/10 + 13*s**5/40 + s**4/2 + s**3/3 - 4*s + 2. Factor m(i).
i*(i + 1)**2*(i + 2)**2/2
Suppose 0 = 6*z - 4*z. Let g = -61/3 - -65/3. Factor z - g*l**2 + 2/3*l.
-2*l*(2*l - 1)/3
Let a(o) be the second derivative of o**6/30 + 3*o**5/10 + o**4 + 4*o**3/3 + 15*o. Factor a(j).
j*(j + 2)**3
Let a(b) be the third derivative of -b**6/40 + b**3/6 + 3*b**2. Let s be a(-1). Solve -2/3*r + 7/3*r**s + 11/3*r**2 + 0 - 16/3*r**3 = 0 for r.
0, 2/7, 1
Let f(q) = q + 2 - 1 + 1. Let o be f(2). Factor 34*k**2 + 8*k + 49*k**4 + 11*k**2 - o + 0*k - 98*k**3.
(k - 1)**2*(7*k - 2)*(7*k + 2)
Let o(a) = -1. Let q(j) = j**2 + 7*j + 7. Let d(z) = 2*z**2 + 15*z + 14. Let c(f) = -3*d(f) + 7*q(f). Let k(v) = c(v) + 3*o(v). Find r such that k(r) = 0.
-2
Let s be ((-3)/45*-3)/1. Factor -s*u - 1/5*u**2 + 0.
-u*(u + 1)/5
Let q(l) be the second derivative of 21*l**5/10 - 17*l**4/4 + l**3/2 + 3*l**2 + 4*l. Solve q(w) = 0 for w.
-2/7, 1/2, 1
Let u(b) = b - 3. Let d be u(6). Suppose 0 = d*a + 2*a - 5. Factor 2*r**2 - a - 2*r**4 - 2*r**4 + 3*r**4.
-(r - 1)**2*(r + 1)**2
Suppose 0 = 5*s + 4 + 1. Let p = s - -4. Determine i so that -5*i**3 - 7*i + p + 24*i**2 + i**3 - 8*i**3 - 8*i = 0.
1/2, 1
Factor 4*d - 15*d**3 + 35*d**3 + 5*d**4 - 5*d**2 + 13*d - 37*d.
5*d*(d - 1)*(d + 1)*(d + 4)
Let c(h) be the second derivative of -2*h**6/15 + 9*h**5/5 + 10*h**4/3 - 23*h. Solve c(i) = 0 for i.
-1, 0, 10
Suppose 3*i + 5 = -5*v, 0*v = 2*v + 2*i + 6. Suppose -2*g + 8 = v*g. Factor 0*p - 2/3*p**g - 2/3*p**3 + 0.
-2*p**2*(p + 1)/3
Suppose -5 = -5*w + h, 5*w + 6*h - 2*h = 30. Find o, given that 0*o**w - 1/4 - 1/2*o**3 + 1/2*o + 1/4*o**4 = 0.
-1, 1
Let n be (0/(-3))/((10 - 4)/(-6)). Let n*o**2 + 2/7*o**5 + 0*o - 2/7*o**4 + 0*o**3 + 0 = 0. What is o?
0, 1
Let d be (2 + 3 - 2)*(-8)/(-6). Suppose 5/6*n**3 + 1/6*n**d + 1/3 + 3/2*n**2 + 7/6*n = 0. What is n?
-2, -1
Let s(d) be the second derivative of 2*d**7/147 - 2*d**6/21 + 9*d**5/35 - d**4/3 + 4*d**3/21 + 2*d. Let s(n) = 0. What is n?
0, 1, 2
Suppose -4*f = 16 + 4. Let l(x) = 3*x**2 - 13*x + 3. Let z(u) = -2*u**2 + 9*u - 2. Let o(y) = f*l(y) - 7*z(y). Factor o(q).
-(q - 1)**2
Factor 1/3*c + 0*c**3 + 1/2*c**2 - 1/6*c**4 + 0.
-c*(c - 2)*(c + 1)**2/6
Let v(b) = b**2 + 6*b + 5. Let w be v(-5). Suppose 6*z - 2*z - 8 = w. Factor 4*f + 2*f**3 - 2*f**2 - 2 + 4*f**z - 6*f.
2*(f - 1)*(f + 1)**2
Let p(u) be the first derivative of -u**3/9 - 7*u**2/6 - 4*u + 17. Factor p(f).
-(f + 3)*(f + 4)/3
Let l be (-42)/(-63)*9/2. Let z(g) be the first derivative of 0*g**4 + 1 + 1/18*g**6 - 1/6*g**2 + 2/15*g**5 - 2/9*g**l + 0*g. Factor z(w).
w*(w - 1)*(w + 1)**3/3
Let j(g) be the first derivative of 3/5*g - 3/20*g**4 + 3/5*g**3 + 2 - 9/10*g**2. Factor j(t).
-3*(t - 1)**3/5
Let o(f) be the first derivative of f**6/21 + 4*f**5/35 - 3*f**4/14 - 16*f**3/21 - 4*f**2/7 + 36. Determine q so that o(q) = 0.
-2, -1, 0, 2
Let q(n) = -20*n**3 + 44*n**2 + 64*n + 24. Let k(j) = -4*j**3 + 9*j**2 + 13*j + 5. Let u(z) = 24*k(z) - 5*q(z). Find v, given that u(v) = 0.
-1, 0, 2
Let v be 231/880 + 1/(-4). Let w(u) be the second derivative of 0 + 1/8*u**2 - 1/8*u**3 - 2*u + 1/16*u**4 - v*u**5. Solve w(y) = 0.
1
Let z(d) be the third derivative of d**7/2100 - d**6/450 + d**5/300 - d**3/6 + 3*d**2. Let q(o) be the first derivative of z(o). Determine a so that q(a) = 0.
0, 1
Let a(u) be the third derivative of 0*u**5 + 0 + 0*u - 10*u**2 + 0*u**3 + 1/350*u**7 + 0*u**4 + 1/200*u**6. What is g in a(g) = 0?
-1, 0
Let f be -4 - (-13 + (4 - 5)). Let i be (2/f)/(-3 + 4). Let -1/5*k**5 - 2/5*k**3 + 3/5*k - 3/5*k**4 + i + 2/5*k**2 = 0. What is k?
-1, 1
Suppose 7*v = 2*v + 90. Let i(d) = -2*d**3 - d + d**3 + 3 - 4. Let y(f) = f**5 - f**4 - 10*f**3 + f**2 - 9*f - 9. Let p(m) = v*i(m) - 2*y(m). Factor p(k).
-2*k**2*(k - 1)**2*(k + 1)
Let v(u) be the first derivative of -u**4/4 - u**3/3 - u**2/2 - u - 5. Let p(f) = -2*f**2 + 16*f + 10. Let q(g) = -p(g) - 6*v(g). Factor q(r).
2*(r - 1)*(r + 2)*(3*r + 1)
Let q = -261/10 + 53/2. Let o(l) be the first derivative of -2*l + q*l**5 - 2*l**2 + 1 + 0*l**3 + l**4. Let o(w) = 0. What is w?
-1, 1
Suppose -w + 25 = 22. Let d(v) be the first derivative of -v**w + 0*v**4 - v**2 + 0*v + 2 + 1/5*v**5. Determine k, given that d(k) = 0.
-1, 0, 2
Let b(a) be the first derivative of -2/9*a**3 - 2/3*a**2 + 3 - 2/3*a. Suppose b(r) = 0. What is r?
-1
Let o(g) = g**3 - 46*g**2 - 92*g + 384. Let f(w) = 6*w**3 - 231*w**2 - 459*w + 1920. Let r(j) = -4*f(j) + 21*o(j). Determine b so that r(b) = 0.
-8, 2
Let h(t) be the third derivative of -t**5/15 + t**4/3 - 7*t**2. Factor h(s).
-4*s*(s - 2)
Let x be 7/28 + 14/8. Factor -2*d**2 - 2*d**x - 3*d - 3*d**3 + 9*d**2 + d**2.
-3*d*(d - 1)**2
Let d be 4 + -3 - 0 - -5. Suppose d*l - 3*l = 6. Let 1/4 - 1/4*y**l - 1/4*y**3 + 1/4*y = 0. What is y?
-1, 1
Let u(q) = -q + 7. Let p be u(3). Factor 2*b + 4*b**2 - 2*b**2 - 10*b**2 - p*b.
-2*b*(4*b + 1)
Let d(u) = u**3 - 4*u**2 - 4*u - 4. Let b be d(5). Suppose s - b = -3*a, a - 27 = -2*s + 7*s. Factor 2/5*g**a - 2/5*g + 0 + 2*g**3 + 6/5*g**4.
2*g*(g + 1)**2*(3*g - 1)/5
Suppose 50 = -0*k + 5*k. Suppose 5*i + 0*i = k. Solve 3*r**2 - r**2 - 2*r**4 + i*r - 2*r = 0 for r.
-1, 0, 1
Factor 20 - 10*m + 8*m + 5*m**2 - 23*m.
5*(m - 4)*(m - 1)
Let v be ((-7)/140)/((-21)/4). Let g(l) be the second derivative of -4*l + 1/21*l**4 + 0 - 1/7*l**2 + 0*l**5 - v*l**6 + 0*l**3. Factor g(b).
-2*(b - 1)**2*(b + 1)**2/7
Let f(j) be the first derivative of 10*j**5 - 10*j**4 - 14*j**3 + 20*j**2 - 8*j + 7. Find n such that f(n) = 0.
-1, 2/5, 1
Let n(h) be the third derivative of h**8/840 + 2*h**7/525 - h**5/75 - h**4/60 + 2*h**2. Let n(b) = 0. What is b?
-1, 0, 1
Let v be (-25 - -23)*6/(-4). Suppose -9/2*d + 3/2*d**3 + v + 0*d**2 = 0. What is d?
-2, 1
Let u be (8/48)/(6/27). Factor 3/4*v**2 - u + 0*v.
3*(v - 1)*(v + 1)/4
Factor 1/4*q**2 - 1/4*q**5 + 1/4*q**3 - 1/4*q**4 + 0*q + 0.
-q**2*(q - 1)*(q + 1)**2/4
Let l(v) = -5*v**4 + 3*v**3 + 4*v**2 - 6*v - 8. Let p(c) = 6*c**4 - 3*c**3 - 5*c**2 + 5*c + 8. Let n(t) = -7*l(t) - 6*p(t). Solve n(i) = 0.
-2, -1, 2
Suppose 3*r = 9 - 3. Suppose 0*h + r*p = 2*h - 12, 0 = 4*h - p - 24. Solve -2*d + 2*d**4 + h*d**2 + d**3 + 0*d - 7*d**3 = 0.
0, 1
Let q = 16 + -13. Let -i**3 + 2*i - 3*i**5 + 7*i**q - 5*i = 0. Calculate i.
-1, 0, 1
Let a(r) = -3*r**3 - 9*r**2 + 11*r + 32. Let g(p) = -p**3 + p**2 - p. Let z(b) = a(b) - 5*g(b). Factor z(x).
2*(x - 4)**2*(x + 1)
Suppose 0*s - 6 = -2*s. Suppose 0 = 3*r - 2*r + 4*h - 16, r = -s*h + 12. Factor r*b**2 + 4/5*b - 2/5 - 4/5*b**3 + 2/5*b**4.
2*(b - 1)**3*(b + 1)/5
Let o(q) be the third derivative of q**5/330 - q**4/132 - 2*q**3/33 - 15*q**2. Suppose o(p) = 0. What is p?
-1, 2
Let x(w) = w - 2. Let p = 5 + 1. Let v be x(p). Factor -1 - 2*c**3 + c - 4*c**2 + 3*c**v - 4*c**4 + c**5 + 6*c**2.
(c - 1)**3*(c + 1)**2
Suppose -g = -0*g - 3. Determine c so that 4*c**3 + 3*c**4 - 9*c**4 - 2*c**3 - 11*c**g + 6*c**2 = 0.
-2, 0, 1/2
Let l(x) be the second derivative of -x**5/5 + x**4 - 8*x**2 + 18*x. What is p in l(p) = 0?
-1, 2
Let d(q) be the first derivative of -2 - 1/18*q**3 + 0*q + 1/24*q**4 - 1/2*q**2 + 1/45*q**5. Let w(n) be the second derivative of d(n). Factor w(x).
(x + 1)*(4*x - 1)/3
Factor 5*d - 5 - 5/4*d**2.
-5*(d - 2)**2/4
Suppose -6 = -2*o - 2, 2*h - 8 = -4*o. Find j such that 2/9*j**4 + 0 + 0*j + h*j**3 + 0*j**2 = 0.
0
Let o(u) be the second derivative of -u**6/40 + 3*u**5/16 - 9*u**4/16 + 7*u**3/8 - 3*u**2/4 + 17*u. Let o(f) = 0. What is f?
1, 2
Let y(k) be the second derivati