the first derivative of g(c). Factor o(w).
-2*(w - 1)*(w + 1)
Find h such that 0*h - 1/4*h**2 + 1/4 = 0.
-1, 1
Let f(j) = -j**3 + 2*j**2 + 4*j - 1. Let z be 3 + 0 + (0 - 0). Let q be f(z). Factor 4/7 + 10/7*t**q + 2*t.
2*(t + 1)*(5*t + 2)/7
Let f(i) be the second derivative of -5*i**7/126 + 7*i**6/90 + 13*i**5/60 - 11*i**4/36 - 4*i**3/9 + 2*i**2/3 - 2*i. Solve f(n) = 0 for n.
-1, 2/5, 1, 2
Suppose -2*w = -7*w - 3*w. Factor 0*g + w*g**2 + 0 + 2/15*g**3 - 2/15*g**4.
-2*g**3*(g - 1)/15
Let b(v) be the third derivative of -3/20*v**5 + 0 - 1/6*v**3 + 2*v**2 - 1/30*v**6 + 0*v - 1/4*v**4. Factor b(q).
-(q + 1)**2*(4*q + 1)
Let f(y) = -7*y - 19. Let o(z) = 3*z + 9. Let s(k) = 2*f(k) + 5*o(k). Let h be s(0). Let 0*i**2 + h - 2*i**2 - 3 - 2*i = 0. What is i?
-2, 1
Let f(m) = 5*m**3 + 73*m**2 + 377*m + 625. Let x(z) = -z**2 + z. Let o(i) = -f(i) + 2*x(i). Factor o(k).
-5*(k + 5)**3
Find s, given that -7/4*s**2 + 3*s + 1 - 39/4*s**4 - 5/2*s**5 - 11*s**3 = 0.
-2, -1, -2/5, 1/2
Let c = -9 - -19. Suppose -12*d**3 - 24*d - c*d**3 - 19*d**2 + 3*d**4 + 4*d**3 + 55*d**2 = 0. Calculate d.
0, 2
Let s(q) be the second derivative of 0 - 1/15*q**6 + 0*q**3 + 1/10*q**5 + 0*q**2 - q + 0*q**4. Factor s(b).
-2*b**3*(b - 1)
Suppose 0*j + 4 = 2*u - j, -5*j = u - 13. Let 10/3*v**5 - 74/3*v**4 + 160/3*v - 272/3*v**2 - 32/3 + 208/3*v**u = 0. What is v?
2/5, 1, 2
Determine q, given that 5/2*q**2 + 15 - 25/2*q = 0.
2, 3
Let l be 6*5/((-180)/(-8)). Find q, given that -1/3*q**2 - 4/3 + l*q = 0.
2
Let o(t) be the second derivative of t**6/720 - t**4/48 - 2*t**3/3 + 3*t. Let f(n) be the second derivative of o(n). Suppose f(b) = 0. What is b?
-1, 1
Factor 2/5*p**2 + 0 + 2/15*p**4 - 2/15*p - 2/5*p**3.
2*p*(p - 1)**3/15
Suppose -22 = -2*n - 18. Let m(v) = v**2 - 4*v - 1. Let p be m(5). What is x in x**2 - 4*x**2 - x + 2*x**4 + 2*x**n - x**p + x**3 = 0?
-1, 0, 1
Let k(p) be the first derivative of 6*p**5/55 + 15*p**4/22 + 14*p**3/11 + 9*p**2/11 - 17. Suppose k(q) = 0. Calculate q.
-3, -1, 0
Let f(q) = 2*q - 4. Let n be f(5). Let u = n + -4. Factor 0 - 1/2*c**u + 0*c.
-c**2/2
Factor 3*s**4 - 10*s - 8*s**3 - 5*s**4 - 10*s**2 + 6*s.
-2*s*(s + 1)**2*(s + 2)
Determine h, given that 4/3*h**3 + 4/3*h**2 + 0 + 0*h = 0.
-1, 0
Let g(l) be the third derivative of -7*l**5/12 - 25*l**4/12 + 20*l**3/3 - 16*l**2. Factor g(j).
-5*(j + 2)*(7*j - 4)
Let o = 123/476 + -1/119. Factor -1/2*w**2 + 0 - 3/4*w + o*w**3.
w*(w - 3)*(w + 1)/4
Let i(l) = 14*l**3 + 43*l**2 + 34*l - 12. Let d(r) = 57*r**3 + 171*r**2 + 135*r - 48. Let n(h) = 2*d(h) - 9*i(h). Factor n(v).
-3*(v + 2)**2*(4*v - 1)
Let i(u) be the first derivative of u**5/60 + u**4/8 + u**3/3 - u**2 + 3. Let p(a) be the second derivative of i(a). Factor p(d).
(d + 1)*(d + 2)
Factor 2/15*p**2 + 2/5*p + 4/15.
2*(p + 1)*(p + 2)/15
Let f(z) = 2*z**2 - 2*z - 1. Suppose 2*d + c - 9 = -2*d, -4*c + 14 = 5*d. Let y be f(d). Factor -2*k**4 + 9*k**2 - k**5 - k**y - 9*k**2.
-k**3*(k + 1)**2
Let m(h) be the second derivative of 11*h**4/24 + 3*h**3/4 - h**2/2 + 21*h. Solve m(j) = 0 for j.
-1, 2/11
Let f(r) = -2*r**2 + 2. Let s be f(1). Factor s*c - 6/7*c**3 + 2/7*c**2 + 6/7*c**4 - 2/7*c**5 + 0.
-2*c**2*(c - 1)**3/7
Let s be (-3)/(-18)*-8 - 2*-1. Determine c so that 4/3*c**2 - 4/3*c**4 + s*c**3 - 2/3*c + 0 = 0.
-1, 0, 1/2, 1
Let b(r) be the third derivative of -1/60*r**6 + 3*r**2 + 0*r**3 + 0*r**4 + 0*r + 0*r**5 + 0. Factor b(l).
-2*l**3
Let c(l) be the second derivative of 0*l**2 - 3*l + 0 + 0*l**4 + 0*l**3 - 1/20*l**5. Find z such that c(z) = 0.
0
Let q be -13*(1 + 0 - 2). Suppose -a - 7 = -f, -f + 4*f - a = q. Factor u**5 + 4*u**f - 4*u**3.
u**5
Let o be 102/8 - 4/(-16). Let x = 13 - o. Suppose 0 + x*r + 2/9*r**2 = 0. Calculate r.
0
Let j(q) = q. Suppose -2 - 3 = -r. Let v be j(r). Factor -v + 3 - 3*i**2 + i**2 - 4*i.
-2*(i + 1)**2
Let o(q) = q + 9. Let k be o(-7). Let w(m) be the third derivative of -m**k + 1/36*m**4 + 2/27*m**3 + 0 - 2/45*m**5 + 7/540*m**6 + 0*m. What is h in w(h) = 0?
-2/7, 1
Let m(o) be the first derivative of 3*o**6/80 + o**5/8 - 2*o**4/3 + o**3 - 2*o**2 - 4. Let h(u) be the second derivative of m(u). Suppose h(z) = 0. What is z?
-3, 2/3
Let j(f) = -2*f**3 + f**2 - f - 1. Let k(w) = -6*w**3 + 2*w**2 - 4*w - 2. Let g(i) = -20*j(i) + 6*k(i). Solve g(p) = 0 for p.
-1, 1, 2
Let j = 14/15 + -3/5. Let a(i) be the second derivative of 0*i**2 - 5/6*i**4 + 2*i - j*i**3 - 1/5*i**6 + 0 - 7/10*i**5. Factor a(u).
-2*u*(u + 1)**2*(3*u + 1)
Let g = 23 + -203/9. Factor g*u - 2/9*u**2 + 0.
-2*u*(u - 2)/9
Let w(p) be the second derivative of -5*p**4/12 - 5*p**3 - 45*p**2/2 + 4*p. Factor w(x).
-5*(x + 3)**2
Factor -8/5*z - 2/5*z**2 - 6/5.
-2*(z + 1)*(z + 3)/5
Let a(l) be the first derivative of 0*l + 2 - l**4 + 4*l**2 - 4/3*l**3. Solve a(c) = 0 for c.
-2, 0, 1
Let x = -293 - -42481/145. Let v = x - -608/1015. Factor 2/7*m**4 - 2/7*m**3 + 2/7*m + v - 6/7*m**2.
2*(m - 2)*(m - 1)*(m + 1)**2/7
Let i(t) = -t + 5. Let p be i(5). Let d(n) be the second derivative of 0*n**3 + 0*n**2 + 1/30*n**4 + n + p. Factor d(g).
2*g**2/5
Factor -1/2*f**3 + 0 + 1/6*f + 1/3*f**2.
-f*(f - 1)*(3*f + 1)/6
Let y(l) = 10*l**3 - 12*l**2 - 10*l - 12. Let w(q) = 4*q**3 - 5*q**2 - 4*q - 5. Let s be 14 + 1/(2/(-4)). Let z(h) = s*w(h) - 5*y(h). Factor z(u).
-2*u*(u - 1)*(u + 1)
Determine t, given that -10 - 20*t**2 - 25*t - 8*t**3 + 2*t**3 - 4*t**3 + 5*t**3 = 0.
-2, -1
Let o(g) = 4*g**3 + g**2 + 2*g + 1. Let p be o(-1). Let q be (-2)/p*(6 + -2). Factor -z + z**3 + 2 - 2 - q*z**2 + 2.
(z - 2)*(z - 1)*(z + 1)
Let y(p) = -5*p**2 + 3*p**2 - p**2 + 10 - 14*p**3 + 14*p - 7*p**2. Let l(b) = 14*b**3 + 9*b**2 - 14*b - 9. Let v(j) = -6*l(j) - 5*y(j). Factor v(h).
-2*(h - 1)*(h + 1)*(7*h + 2)
Suppose -3*s + 14 = 5. Let w(l) = 5*l - 13. Let n be w(s). What is a in -2/5*a + 0 - 2/5*a**5 + 0*a**n + 4/5*a**3 + 0*a**4 = 0?
-1, 0, 1
Let m(c) be the first derivative of -2 - 1/2*c**4 - 4*c + c**2 + 2*c**3 - 2/5*c**5. Determine f, given that m(f) = 0.
-2, -1, 1
Suppose 0 - f**3 + 0*f + 3/2*f**2 - 1/2*f**4 = 0. What is f?
-3, 0, 1
Suppose -3*x + 16 = -4*u + 1, -4*x + 20 = u. Let f(i) be the second derivative of -2*i + 0*i**3 + 0*i**2 + u*i**4 + 0 + 1/60*i**6 + 0*i**5. Factor f(m).
m**4/2
Let o(u) be the third derivative of u**9/30240 - u**7/840 - u**6/180 + u**5/15 - 4*u**2. Let v(i) be the third derivative of o(i). Let v(t) = 0. What is t?
-1, 2
Let o(c) = c**2 + c - 2. Let s(z) = z**2 + 2*z - 2. Let d = -2 - 2. Let y = d - -7. Let g(l) = y*o(l) - 2*s(l). Factor g(h).
(h - 2)*(h + 1)
Let y(h) be the third derivative of -h**9/52920 - h**4/8 - 4*h**2. Let s(u) be the second derivative of y(u). Factor s(f).
-2*f**4/7
Suppose -5*g - 9 = -u, g + 7 = -g - 3*u. Let d(j) = -j + 1. Let b be d(g). Factor 0*n**2 + 2*n + 3*n**2 + 4*n**3 - b*n**3.
n*(n + 1)*(n + 2)
Let a(y) be the third derivative of -y**8/1344 + y**7/280 - y**6/160 + y**5/240 - 5*y**2. Factor a(u).
-u**2*(u - 1)**3/4
Let z(d) be the second derivative of -d**4/30 + d**2/5 + 3*d. Determine p, given that z(p) = 0.
-1, 1
Let n(d) be the second derivative of d**4/66 - 8*d. Let n(v) = 0. Calculate v.
0
Suppose 0 = -3*w + 4*t + 22, 4*t + 15 = -3*w + 5. Determine b so that 0*b + 1/3*b**4 + 0*b**w + 1/3*b**3 + 0 = 0.
-1, 0
Let p be 2*-1*10/(-4). Suppose -18 = -p*g - 3. Determine q so that q - 3*q - 5*q**3 + 0*q**g - 7*q**2 = 0.
-1, -2/5, 0
Let m(r) be the first derivative of -1/2*r**2 + 1/5*r**5 + 1 + 1/4*r**4 + 0*r - 1/3*r**3. Factor m(y).
y*(y - 1)*(y + 1)**2
Let t(i) be the first derivative of -1/16*i**4 + 0*i + 1/12*i**3 + 1/24*i**6 + 0*i**2 - 2 - 1/20*i**5. Suppose t(p) = 0. Calculate p.
-1, 0, 1
Let z(r) = 3*r**3 + 3*r**2 - 3*r - 3. Let y(h) = h**5 + h**4 - h - 1. Let t be (-4)/12*-3*3. Let a(w) = t*y(w) - z(w). Factor a(q).
3*q**2*(q - 1)*(q + 1)**2
Factor 16/5 + 2/5*n**3 + 24/5*n + 12/5*n**2.
2*(n + 2)**3/5
Let h(t) = -3*t**2 + 2*t. Let f(r) = 4*r + 35*r**2 - 41*r**2 + r. Let j(l) = -2*f(l) + 5*h(l). Factor j(b).
-3*b**2
Let v(r) = -r**3 + 1. Let h be v(1). Determine n, given that 2 + h*n**4 - n**4 - 3 + 0*n**2 + 2*n**2 = 0.
-1, 1
Let n = 8 - 6. Factor x**3 + 4 - 18*x**n + 8*x + 10*x**2 + 13*x**2.
(x + 1)*(x + 2)**2
Let i(p) be the first derivative of -3*p**4 + 3*p**3 + 3*p**2/2 + 6. Factor i(b).
-3*b*(b - 1)*(4*b + 1)
Let h = 7 + -4. Let r = 67/3 - 22. Fac