w**2 - 9*w. Suppose r(k) = 0. What is k?
-3, 1
Let w(y) be the third derivative of -25*y**6/42 + 10*y**5/7 - 10*y**4/7 + 16*y**3/21 + 4*y**2. Find t, given that w(t) = 0.
2/5
Let i(q) be the second derivative of -1/21*q**7 + 1/5*q**5 + 7*q + 0 + 1/9*q**4 - 1/3*q**3 - 1/3*q**2 - 1/45*q**6. Find t such that i(t) = 0.
-1, -1/3, 1
Let p(h) be the first derivative of -h**5/120 + h**4/12 - h**3/3 - 2*h**2 + 4. Let k(m) be the second derivative of p(m). Factor k(j).
-(j - 2)**2/2
Factor -3/5*i**3 + 1/5*i**5 + 0 - 1/5*i**4 + 2/5*i + 1/5*i**2.
i*(i - 2)*(i - 1)*(i + 1)**2/5
Factor 1 + 4*t**2 + 3 - 2*t**3 - 16 + 10*t + 0*t.
-2*(t - 3)*(t - 1)*(t + 2)
Suppose 2*t + 2 = 4*y - 2, 5*y = -3*t + 16. Factor -1/2*w**4 + 0 - 1/4*w**3 + 1/4*w + 1/2*w**y.
-w*(w - 1)*(w + 1)*(2*w + 1)/4
Suppose -s - 2*p - 13 = -6*s, 2*p - 8 = -2*s. Let t(h) = h - 1. Let l be t(1). Suppose l*y + s - 3*y**2 + 0 - 3*y + 3 = 0. Calculate y.
-2, 1
Find d such that d**4 + d**3 - 2*d**2 + 1 - 1/2*d**5 - 1/2*d = 0.
-1, 1, 2
Let a(s) be the second derivative of s**5/110 - 7*s**4/66 + s**3/3 - 5*s**2/11 - 35*s. Factor a(y).
2*(y - 5)*(y - 1)**2/11
Let p = -13 + 93/7. Factor 4/7*h**4 + 2/7*h**3 + 0*h**2 + p*h**5 + 0*h + 0.
2*h**3*(h + 1)**2/7
Let r(t) = -4*t**3 - 10*t**2 + 2*t + 10. Let u(p) = 4*p**3 + 11*p**2 - p - 11. Let b(x) = -3*r(x) - 2*u(x). Factor b(z).
4*(z - 1)*(z + 1)*(z + 2)
Let b be (-16)/(-64)*1*0/(-1). Factor 0 + b*m**2 + 0*m - m**4 - 1/2*m**5 - 1/2*m**3.
-m**3*(m + 1)**2/2
Let u = -9839/30 + 328. Let f(p) be the second derivative of -1/5*p**2 - u*p**3 + 0 + 1/20*p**4 + p. Solve f(h) = 0.
-2/3, 1
Let a(q) be the third derivative of q**7/30 + q**6/60 + 4*q**2. Find r, given that a(r) = 0.
-2/7, 0
Let p(j) be the first derivative of -14*j**3/9 - 5*j**2/3 + 4*j/3 - 6. Solve p(g) = 0.
-1, 2/7
Suppose 0*f + 3*z = -f - 10, -2*f + 5*z + 35 = 0. Suppose -9 - 11 = -f*p. Find a such that a**5 - 3*a**p + 3*a + 1 + a**2 + a**2 + 2*a**3 - 6*a = 0.
-1, 1
Suppose 2*l = -m - 10, m + 2*m - 10 = 2*l. Suppose k - 6*k = -10. Factor 2/5*y + 2/5*y**k - 2/5*y**3 + m - 2/5*y**4.
-2*y*(y - 1)*(y + 1)**2/5
Let t(k) = -4*k**2 - 5*k + 5. Let z(i) = 9*i**2 + 10*i - 9. Let g(n) = 5*t(n) + 3*z(n). Solve g(c) = 0.
-1, 2/7
Find b, given that -3/5 - 3/5*b**2 - 6/5*b = 0.
-1
Suppose 8 = d - 7. Suppose -4*v - q + 17 = v, 3*v = q + d. Find a, given that 0 - 1/4*a**v + 1/4*a**3 - 1/4*a + 1/4*a**2 = 0.
-1, 0, 1
Let n(b) be the second derivative of -b**4 - 4*b**3/3 - 9*b**2 - 4*b. Let d(a) = -3*a**2 + 4*a**2 - 3 - 2 + 6. Let o(m) = -10*d(m) - n(m). Factor o(i).
2*(i + 2)**2
Let j(d) be the third derivative of -1/150*d**5 + 2*d**2 + 0 + 0*d + 1/60*d**4 + 0*d**3. Solve j(a) = 0 for a.
0, 1
Let t = 10 - 5. Suppose 2*k + 9 = t*k. Factor -2/3*i**k + 1/3 + 2/3*i + 0*i**2 - 1/3*i**4.
-(i - 1)*(i + 1)**3/3
Let z(v) be the third derivative of -v**8/40320 + v**7/15120 + v**4/12 - 2*v**2. Let h(o) be the second derivative of z(o). Let h(q) = 0. Calculate q.
0, 1
Let f(n) be the second derivative of -3*n**5/140 - n**4/21 + n**3/42 + n**2/7 - 8*n. Factor f(u).
-(u + 1)**2*(3*u - 2)/7
Let f(r) be the first derivative of -r**3 - 15*r**2/2 - 12*r - 2. Factor f(m).
-3*(m + 1)*(m + 4)
Let z(v) be the first derivative of v**7/105 + v**6/20 + v**5/15 - 2*v**2 + 1. Let a(l) be the second derivative of z(l). Factor a(t).
2*t**2*(t + 1)*(t + 2)
Let b(g) = g + 6. Let q be b(-4). Let p(i) be the first derivative of -1/12*i**3 + 3/16*i**4 + 0*i**q + 0*i + 1/24*i**6 - 3/20*i**5 - 1. Factor p(h).
h**2*(h - 1)**3/4
Let o(g) be the first derivative of 2*g**3/9 - 7. What is y in o(y) = 0?
0
Let k(r) = 4*r**2 + r. Let h(x) = -x**2. Let o(f) = 5*h(f) + k(f). Let b be o(1). Find v such that 1/3*v + b*v**2 + 0 - 1/3*v**3 = 0.
-1, 0, 1
Let j(w) = w**2 - 10*w - 6. Let v be j(11). Let a(q) be the second derivative of 3/70*q**v + 4/7*q**2 + 4/7*q**3 + 11/42*q**4 - 2*q + 0. Solve a(i) = 0 for i.
-2, -1, -2/3
Let k(l) be the first derivative of 1/5*l**5 - 6 + 1/2*l**4 + 1/3*l**3 + 0*l**2 + 0*l. Find o such that k(o) = 0.
-1, 0
Suppose 4*v + 0*v - 16 = 2*s, 5*v - 26 = 4*s. Find g such that 18/13*g**5 + 0*g - 8/13*g**v + 0 - 42/13*g**4 + 32/13*g**3 = 0.
0, 2/3, 1
Let l be (84/(-15))/2*1. Let g = 33/10 + l. Solve -1/4*v**3 - 1/4*v + g*v**2 + 0 = 0.
0, 1
Let -4/5*z - 16/5*z**2 + 0 - 4*z**3 - 8/5*z**4 = 0. Calculate z.
-1, -1/2, 0
Suppose 14*j + 0*j = 0. Factor j + 1/3*u**2 - 2/3*u.
u*(u - 2)/3
Let l(k) be the third derivative of 2*k**7/35 + k**6/6 - 28*k**5/15 + 2*k**4/3 + 32*k**3/3 + k**2. What is o in l(o) = 0?
-4, -2/3, 1, 2
Suppose -2*n = -n. Suppose n = -d + 2. Determine w, given that -2*w**2 - w**2 + w + d*w**2 = 0.
0, 1
Let x(t) be the first derivative of -t**3/15 + t**2/10 + 2*t/5 - 10. Let x(y) = 0. Calculate y.
-1, 2
Let d(z) be the first derivative of 3/5*z**5 - 1 - 1/2*z**4 + z**2 + 0*z - z**3. Factor d(k).
k*(k - 1)*(k + 1)*(3*k - 2)
Let c(r) be the first derivative of 2*r**3/45 + r**2/15 - 4*r/15 + 20. Factor c(f).
2*(f - 1)*(f + 2)/15
Let t(v) = v**3 - 9*v**2 + 20*v - 8. Let b be t(6). Factor 3/4*w**b + 0*w**2 - 3/4*w**3 + 0 + 0*w.
3*w**3*(w - 1)/4
Suppose 2*r = z + 12, 3*r + 5*z - 10 = -5. Let k(c) be the second derivative of -1/60*c**r + 0 - 2*c + 0*c**2 + 1/12*c**4 - 1/9*c**3. Factor k(j).
-j*(j - 2)*(j - 1)/3
Factor 4*d - 16 + 16*d**2 - 52*d**3 + 95*d**3 - 47*d**3.
-4*(d - 4)*(d - 1)*(d + 1)
Let k(t) = 85*t**3 - 173*t**2 + 115*t - 5. Let g(q) = 21*q**3 - 43*q**2 + 29*q - 1. Let h(y) = 22*g(y) - 6*k(y). Suppose h(p) = 0. Calculate p.
1/4, 2/3, 1
Let i = 3 - 1. Let m be 90/(-24) - (-9 - -5). Factor -1/2*r**4 + m*r**5 + 0 + 0*r**i + 1/4*r**3 + 0*r.
r**3*(r - 1)**2/4
Let l(m) be the second derivative of -m**6/10 + 3*m**5/20 + m**4/2 - 31*m. Factor l(v).
-3*v**2*(v - 2)*(v + 1)
Let m be 8/480*65 + 9/(-12). Suppose 0*x**3 + 2/3*x**4 - 2/3*x**2 - 1/3*x + 0 + m*x**5 = 0. Calculate x.
-1, 0, 1
Let h(w) = -3*w**4 - 11*w**3 + 9*w**2. Let f(u) = u**4 + 5*u**3 - 4*u**2. Let k(n) = 15*f(n) + 6*h(n). Let k(q) = 0. Calculate q.
0, 1, 2
Determine i so that -9*i**4 - 9*i + 15*i**2 + 29*i**5 + 15*i**3 + 37*i**5 - 6 - 72*i**5 = 0.
-2, -1, -1/2, 1
Factor 20/7*u + 18/7*u**2 + 8/7 + 1/7*u**4 + u**3.
(u + 1)*(u + 2)**3/7
Let w(h) be the first derivative of h**8/3360 + h**7/560 + h**6/360 - h**3/3 + 3. Let j(c) be the third derivative of w(c). Factor j(z).
z**2*(z + 1)*(z + 2)/2
Let q(m) be the second derivative of m**4/12 - m**3 + 9*m**2/2 - 15*m. Let q(h) = 0. What is h?
3
Suppose f - 11 = -5*h, -8 = -2*h + 2*f - 6*f. Factor 5 - 1 + 4 + 3*y**2 + 9*y - h.
3*(y + 1)*(y + 2)
Find c, given that -4/3*c**2 - 4*c**3 + 8/3*c + 0 = 0.
-1, 0, 2/3
Let c be 0 + 5/(-3)*-3. What is u in u**3 + 0*u**2 - u - 1 + 0 - 4*u**2 + c*u**2 = 0?
-1, 1
Factor 0 + 1/2*o**2 + 3/2*o.
o*(o + 3)/2
Let d be (-7)/(-3) - (-9)/(-27). Find s such that 9*s**d - 11*s**2 + 4*s**4 + 2*s**2 + 4*s**5 = 0.
-1, 0
Let j(y) be the first derivative of -8*y**5/5 + 5*y**4 - 16*y**3/3 + 2*y**2 + 5. Factor j(i).
-4*i*(i - 1)**2*(2*i - 1)
Let y(z) be the second derivative of z**7/14 - 3*z**6/5 + 9*z**5/5 - 2*z**4 + z. Factor y(v).
3*v**2*(v - 2)**3
Let j be (3 + (-7)/2)*-42. Let z be 16/56 + 8/j. Factor -z*g**3 - 4/3*g**2 + 0 - 2/3*g.
-2*g*(g + 1)**2/3
Let y(r) = r**5 + 6*r**4 - r**3 - 3*r**2 + 3*r + 6. Let k(p) = 2*p**5 + 6*p**4 - 2*p**3 - 2*p**2 + 4*p + 8. Let a(o) = 3*k(o) - 4*y(o). Factor a(c).
2*c**2*(c - 3)*(c - 1)*(c + 1)
Suppose -3*k + i + 7 = 0, 2*k + 3*i = -2*i - 18. Let u be 2/((-4)/(-6))*k. Factor -4*n**3 - n**3 + 3*n - 3*n**3 + 5*n**u - 3*n**2 + 3.
-3*(n - 1)*(n + 1)**2
Let p(i) be the first derivative of 3*i**5/80 + i**4/4 + 5*i**3/8 + 3*i**2/4 - 7*i - 2. Let q(h) be the first derivative of p(h). Factor q(s).
3*(s + 1)**2*(s + 2)/4
Let k(p) be the first derivative of p**5/3 + 5*p**4/6 - 5*p**2/3 - 5*p/3 - 20. Let k(t) = 0. Calculate t.
-1, 1
Suppose 0*a**3 + a**3 - 3*a**3 - a + 3*a = 0. What is a?
-1, 0, 1
Let h(i) = i**2 - i. Let v be h(2). Let j**5 + 6*j - 2*j**5 - 4*j**2 + 6*j**4 + 0 - v - 4*j**3 - j**5 = 0. What is j?
-1, 1
Let -30*d + 38 - 68 + 105 + 3*d**2 = 0. What is d?
5
Let t be 1 + (-2 - -2 - -16). Let d(n) = -11*n**2 + 11*n. Let z(p) = -2*p**2 - 2*p**2 - 9*p**2 + 9*p**2 + 4*p. Let q(s) = t*z(s) - 6*d(s). Factor q(c).
-2*c*(c - 1)
Let m(q) be the first derivative of -q**5/30 - q**4/6 + 