Suppose b(q) = 0. Calculate q.
1
Let h(i) = i**2 + 4*i + 3. Let a be h(-4). Let w(t) be the second derivative of -t - 2/3*t**a - 1/2*t**4 + 0 + 0*t**2. Factor w(u).
-2*u*(3*u + 2)
Let x be 11/((-44)/24) + 0. Let n(r) = 12*r**2 - 15*r + 10. Let j(h) = 12*h**2 - 15*h + 9. Let s(p) = x*n(p) + 7*j(p). What is m in s(m) = 0?
1/4, 1
Let c be 4/(-10)*(1 - 31). Let y be (1 + -2)*(-8)/c. Factor 2/3*w + 0 - y*w**3 + 0*w**2.
-2*w*(w - 1)*(w + 1)/3
Let f = -2/625 - -131/1875. Let h(k) be the second derivative of 1/30*k**4 + 0*k**2 - k - f*k**3 + 0. Factor h(g).
2*g*(g - 1)/5
Find g such that 0*g + 4*g - 7*g - 3*g**2 = 0.
-1, 0
Let o(w) be the second derivative of 6*w - 1/6*w**4 + 0*w**2 - 1/3*w**3 + 0. Factor o(g).
-2*g*(g + 1)
Let z(l) = -l**2 + l. Let x(s) = -144*s**3 - 97*s**2 + 45*s - 4. Let k(w) = x(w) - z(w). Factor k(b).
-4*(b + 1)*(6*b - 1)**2
Let z(f) = -f**2 - 9*f - 7. Let g be z(-6). Let -3*v**2 + 0*v + g + 2 - 3*v - 10 + 3*v**3 = 0. Calculate v.
-1, 1
Let s(v) be the second derivative of 0*v**3 + 0*v**4 + 0*v**2 - 1/10*v**5 - 4*v + 0. Suppose s(u) = 0. Calculate u.
0
Let u(x) be the third derivative of -x**7/210 - x**6/120 + x**5/20 + x**4/24 - x**3/3 + 11*x**2. Factor u(b).
-(b - 1)**2*(b + 1)*(b + 2)
Let z(h) be the first derivative of h**5/4 + 5*h**4/8 - 5*h**3 + 35*h**2/4 - 25*h/4 - 8. Find m such that z(m) = 0.
-5, 1
Suppose -1/2 + 1/4*t + 1/4*t**2 = 0. Calculate t.
-2, 1
Let c(n) = -5*n**5 - 19*n**4 - 51*n**3 + 21*n**2 + 34*n + 9. Let y(a) = -a**5 - 4*a**4 - 10*a**3 + 4*a**2 + 7*a + 2. Let k(d) = 4*c(d) - 22*y(d). Factor k(x).
2*(x - 1)*(x + 1)**3*(x + 4)
Suppose 2*s - 14 = 6. Let v(k) = -k**3 + s - k**2 - 10 + k. Let q(c) = -5*c**3 - 3*c**2 + 6*c - 4. Let a(h) = -q(h) + 6*v(h). Factor a(b).
-(b - 1)*(b + 2)**2
Suppose -3*a - 1 = -4. Let i(z) be the first derivative of 0*z**2 + 0*z**3 + 1/10*z**4 + a - 2/25*z**5 + 0*z. Factor i(p).
-2*p**3*(p - 1)/5
Let x = -503/4 + 8511/68. Let v = -3/34 - x. What is a in -1/4*a**2 - 1/4 - v*a = 0?
-1
Suppose -2*h - 2 = 0, 0 = -5*l + 3*h + 17 + 1. Solve -2*a**2 - l*a + a**2 + 3*a**2 + 5*a = 0.
-1, 0
Let y(v) be the second derivative of v**7/6300 + v**6/300 + 3*v**5/100 - 5*v**4/12 - v. Let c(t) be the third derivative of y(t). Factor c(q).
2*(q + 3)**2/5
Factor -2/5*j**2 - 2/5 + 4/5*j.
-2*(j - 1)**2/5
Let r(j) be the third derivative of -j**6/210 - j**5/15 - j**4/7 + 2*j**2. Find m, given that r(m) = 0.
-6, -1, 0
Suppose 0 = q - s, 0 = 4*q + 3*s - 5*s - 8. Let t(k) be the second derivative of -1/9*k**q + 0*k**3 - k - 1/30*k**5 + 0*k**2 + 0. Factor t(v).
-2*v**2*(v + 2)/3
Let i(g) = 2*g**2 - 3*g - 7. Let b(s) = -s**2 + 4*s + 6. Let o(p) = -3*b(p) - 2*i(p). Let q be o(-4). Factor 3*f**4 - 3*f**q - f**4 + f**5.
f**4*(f - 1)
Let s(g) = -6*g + 12 - 4 - 5*g - 5*g**3. Let p(z) = 3*z**3 + 8*z - 4. Let c(w) = -w - 1. Let d(t) = c(t) + p(t). Let h(f) = -8*d(f) - 5*s(f). Factor h(v).
v*(v - 1)*(v + 1)
Let t be (7 - 2) + (1 - 4). Suppose t*o = o + 2. Factor 4/7*j + 2/7*j**o + 0.
2*j*(j + 2)/7
Let a(x) = x**2 + x + 2. Let g be a(-3). Suppose -2*i = 3*i + 2*d - 21, -4*d = g. Factor 2*r**2 + 5 - r - r**3 - i.
-r*(r - 1)**2
Suppose -5*r + 2*k + 40 = -3*k, -2*r - 9 = 3*k. Factor -2/5*a**4 + 0*a + 4/5*a**2 - 2/5 + 0*a**r.
-2*(a - 1)**2*(a + 1)**2/5
Let k(f) = 2*f**4 + 9*f**3 - 11*f**2 + 13. Let w(q) = q**4 + 4*q**3 - 5*q**2 + 6. Let a(m) = -6*k(m) + 13*w(m). Factor a(y).
y**2*(y - 1)**2
Let h(r) be the third derivative of r**5/20 + 9*r**4/4 + 81*r**3/2 - 8*r**2. Determine f, given that h(f) = 0.
-9
Let v(o) be the first derivative of -2/3*o**3 - 2/3*o + 5/6*o**4 + 2 - 5/3*o**2 + 8/15*o**5. Solve v(h) = 0.
-1, -1/4, 1
Suppose 3*r + 10 = 5*r. Find i such that -8 + 3 - 2*i**3 + 2*i + r = 0.
-1, 0, 1
Factor 4/7*j - 10/7*j**2 - 2/7*j**4 + 8/7*j**3 + 0.
-2*j*(j - 2)*(j - 1)**2/7
Let i(b) be the third derivative of b**7/350 + 3*b**6/200 + b**5/100 - 3*b**4/40 - b**3/5 - 23*b**2 + 2*b. Determine r, given that i(r) = 0.
-2, -1, 1
Let z be 1*-21*(-402)/(-35). Let v = z + 242. Suppose -14/5*u**5 + 8/5*u**2 - 4/5 - v*u**4 - 14/5*u + 28/5*u**3 = 0. Calculate u.
-1, -2/7, 1
Let b = 2 + 0. What is j in -1 + 7*j**4 + b*j**5 + 6*j**3 - 2*j + 0*j**3 + 2*j**3 + 2*j**2 = 0?
-1, 1/2
Let f be 3*(-4)/(-16)*-10. Let y = f + 8. Factor -y*d**2 - 1/2*d + 0.
-d*(d + 1)/2
Factor 8/5*h**3 - 8/5*h**4 + 2/5*h**5 - 2*h + 4/5 + 4/5*h**2.
2*(h - 2)*(h - 1)**3*(h + 1)/5
Let a be 56/(-66) + 1 + 24/132. Let c(i) be the second derivative of i - a*i**2 - 1/9*i**3 - 1/72*i**4 + 0. Find l such that c(l) = 0.
-2
Let g(q) be the third derivative of -q**6/180 + q**5/30 + q**4/36 - q**3/3 + 51*q**2. Solve g(m) = 0 for m.
-1, 1, 3
Let c(j) = -5*j**3 - 25*j**2 - 11*j + 12. Let g(q) = -4*q**3 - 24*q**2 - 12*q + 12. Let h(s) = 4*c(s) - 3*g(s). Find p such that h(p) = 0.
-3, -1, 1/2
Let b(i) = 3*i**2 - 3. Let c(l) = -l**2 + 1. Let y(d) = -3*b(d) - 12*c(d). Let y(j) = 0. What is j?
-1, 1
Let t(p) be the third derivative of p**9/7560 - p**8/3360 - p**7/2520 - p**5/60 - 2*p**2. Let h(s) be the third derivative of t(s). Factor h(o).
2*o*(o - 1)*(4*o + 1)
Let g(c) = -c**3 - 13*c**2 + 13*c**2 + 3*c**4 - 2*c**4. Let f(w) = -4*w**4 + 6*w**3 - 3*w**2 - w + 2. Let v(p) = -f(p) - 5*g(p). Factor v(b).
-(b - 1)**2*(b + 1)*(b + 2)
Let y(r) be the first derivative of r**7/1680 + r**6/720 - r**5/120 - 2*r**3/3 - 2. Let h(u) be the third derivative of y(u). Solve h(l) = 0 for l.
-2, 0, 1
Suppose 39*x**5 - 64*x**4 - 68*x**3 + 136*x**2 + 2*x - 11*x**5 - 32 + 78*x = 0. Calculate x.
-1, 2/7, 2
Let u(x) = 3*x**3 + 2*x**2 + x - 2. Let l(b) = 3*b**3 + b**2 + 2*b - 2. Let t(y) = -y + 4. Let p be t(6). Let z(o) = p*l(o) + 3*u(o). Factor z(w).
(w + 1)**2*(3*w - 2)
Let t(d) be the first derivative of 3*d**5/5 + 3*d**4/2 - 3*d**3 - 5. Find f such that t(f) = 0.
-3, 0, 1
Let v = -63250/7 + 9069. Let j = -33 + v. What is y in 0 + 0*y - j*y**2 = 0?
0
Let a(f) be the first derivative of 1 + 4/3*f**3 + 1/2*f**4 - f**2 - 4*f. Factor a(x).
2*(x - 1)*(x + 1)*(x + 2)
Suppose 3*j - 4 - 8 = 0. Let y(t) be the third derivative of 0 + 0*t**3 + 1/60*t**5 + 3*t**2 + 0*t - 1/12*t**j. Let y(c) = 0. What is c?
0, 2
Let c be (-18)/6 + (-1)/1. Let j(q) = -2*q**4 - q**3 + 2*q**2 - 5*q. Let y(t) = -2*t**4 - 2*t**3 + 2*t**2 - 6*t. Let i(v) = c*j(v) + 3*y(v). Factor i(r).
2*r*(r - 1)**2*(r + 1)
Let y(o) be the second derivative of 1/27*o**3 + 0*o**5 - 1/189*o**7 - 3*o + 0*o**2 + 1/27*o**4 - 2/135*o**6 + 0. Factor y(j).
-2*j*(j - 1)*(j + 1)**3/9
Let g(n) = -12*n**2 + 20*n + 17. Let u(j) = 4*j**2 - 7*j - 6. Suppose -8 = -2*m + 4. Let q(t) = m*g(t) + 17*u(t). Determine k so that q(k) = 0.
0, 1/4
Let u(g) be the third derivative of -1/210*g**7 + 0 + 1/120*g**6 + 1/6*g**3 + 0*g + 1/15*g**5 - 1/672*g**8 - 3*g**2 + 7/48*g**4. Factor u(i).
-(i - 2)*(i + 1)**4/2
Let x(u) = 3*u**2 + 2*u**3 + 12*u**2 - 4*u**4 - u**5 - 4*u**3 - 8*u**5. Let o(s) = s**5 - s**2. Let p(k) = 22*o(k) + 2*x(k). Factor p(z).
4*z**2*(z - 2)*(z - 1)*(z + 1)
Factor -6 - 4*u + u - u**2 + 4*u**2.
3*(u - 2)*(u + 1)
Let x be ((-9)/(-5) - 1)*5. Let c(f) = 3*f + 1 - 7 + 0 - 3*f**2. Let w(v) = -8*v**2 + 8*v - 17. Let l(s) = x*w(s) - 11*c(s). Determine a so that l(a) = 0.
-1, 2
Let 4*n - 28*n**3 - 15*n**4 - 4*n**2 - 4*n**2 - n**4 = 0. Calculate n.
-1, 0, 1/4
Let b(f) be the first derivative of 1/11*f**4 + 0*f**3 - 2/11*f**2 + 5 + 2/55*f**5 - 2/11*f. Let b(w) = 0. What is w?
-1, 1
Let r = 2/3 + -1/3. Let x(w) = w - 4. Let u be x(6). Factor 0 - 2/3*p - r*p**u.
-p*(p + 2)/3
Let b(a) = a**3 - 3*a + 2. Let z be b(2). Let w be (9/(-6))/((-6)/8). Suppose 0*u**2 - 2*u**3 + u**w + 3*u**4 - 2*u**z = 0. What is u?
0, 1
Suppose -2*u = -4*u + 4. Let 3*r**3 - 2*r + 2*r**2 - u*r**2 + 5*r - 6*r**2 = 0. Calculate r.
0, 1
Let j be (-12)/30 + (-4)/(-10). Suppose 4*y + 16 = -4*o - j*y, -4*y - 16 = 3*o. Factor 0*l**2 + o*l**2 - 2*l**3 - 2*l**2 - 2*l**2.
-2*l**2*(l + 2)
Let v(h) = 6*h**2 - 4*h - 6. Let l(q) = 5*q**2 - 3*q - 6. Let b(r) = 5*l(r) - 4*v(r). Factor b(k).
(k - 2)*(k + 3)
Let h(j) = 14*j + 100. Let o be h(-7). Factor 2/9*g + 4/9*g**o + 2/9*g**3 + 0.
2*g*(g + 1)**2/9
Suppose -z + h = -7, -4*h = -z + h + 15. Suppose 0 = -z*x - 2*u, -3*u + 8 - 31 = -4*x. Determine y so that -32/5*y**x - 2/5 + 16/5*y = 0.
1/4
Factor 0*q + 6/7*q**2 + 2/21*q**5 + 10/7*q**3 + 2/3*q**4 + 0.
2*q**2*(q