t(s) = -3*s**2 + s - 3. Let m(z) = b*t(z) - 5*f(z). Solve m(k) = 0 for k.
-1/4, 1
Let c(r) be the third derivative of -7*r**6/180 + r**5/5 + r**4/3 + 3*r**3/2 - 8*r**2. Let u(h) be the first derivative of c(h). Let u(f) = 0. What is f?
-2/7, 2
Let 2/13*o**3 + 16/13*o - 10/13*o**2 - 8/13 = 0. What is o?
1, 2
Let p(m) = m**3 - 3*m**2 - 4*m + 2. Let r be p(4). Factor -4*w**2 - w**3 + 2*w + 4*w**r - 2*w**2 - 3*w.
-w*(w + 1)**2
Let g(q) be the third derivative of 0 - 2/33*q**3 + 1/44*q**4 + 0*q - 1/330*q**5 - 6*q**2. Factor g(f).
-2*(f - 2)*(f - 1)/11
Let k(u) be the second derivative of 1/900*u**6 - 1/3*u**3 + 0 + 0*u**2 + 1/75*u**5 + 1/15*u**4 + u. Let j(v) be the second derivative of k(v). Factor j(a).
2*(a + 2)**2/5
Let g(a) be the first derivative of -2*a**3/3 + 8*a**2 - 32*a - 6. Factor g(x).
-2*(x - 4)**2
Suppose -7 = -z - v, -2*z + 5*v - 2*v = -4. Determine h, given that 6*h**3 - 3/2*h**z + 3*h**2 - 9/2*h + 0*h**4 - 3 = 0.
-1, 1, 2
Let 0 + 0*q + 2/3*q**4 + 2/3*q**3 - 4/3*q**2 = 0. Calculate q.
-2, 0, 1
Let f(l) be the first derivative of 2*l**5/5 - 5*l**4/4 + 4*l**3/3 - l**2/2 - 46. Find p such that f(p) = 0.
0, 1/2, 1
Let h(u) be the third derivative of 2*u**2 + 0 + 0*u + 1/60*u**6 + 1/12*u**4 + 0*u**3 + 1/15*u**5. Factor h(j).
2*j*(j + 1)**2
Let b be (-42)/(-12)*(-8)/(-14). Factor 2/9 + 2/9*w**b - 4/9*w.
2*(w - 1)**2/9
Let w be -6*(-2 - (-6)/4). Suppose 3*h = 3*l + w, 5*l + 2 = 3*h + 7. What is m in l*m**4 - m**4 + m**4 + 2*m**3 - 5*m**4 - m**2 = 0?
0, 1
Let m(d) be the first derivative of -1 + 1/10*d**4 + 4/5*d**2 - 8/15*d**3 + 0*d. Factor m(s).
2*s*(s - 2)**2/5
Let c(g) be the second derivative of g**6/120 + 3*g**5/40 - g**3/6 - 3*g. Let f(o) be the second derivative of c(o). Factor f(n).
3*n*(n + 3)
Let x(f) be the first derivative of 1/6*f**2 + 3 + 0*f + 1/4*f**4 + 1/3*f**3 + 1/15*f**5. Factor x(h).
h*(h + 1)**3/3
Let i(h) be the first derivative of -1/4*h**2 - 1/18*h**3 - 5 - 1/3*h. Determine t so that i(t) = 0.
-2, -1
Let c(v) be the third derivative of v**6/20 - v**4/4 + 2*v**3/3 + 2*v**2. Let o(l) = -l**4 - 7*l**3 + 7*l - 5. Let g(d) = 3*c(d) + 2*o(d). Factor g(r).
-2*(r - 1)**3*(r + 1)
Let r(t) = -t**3 - 2*t**2 - t. Let w be r(-3). Factor d**3 - w + 11 + 3*d - 3*d**2 + 0*d**3.
(d - 1)**3
Let y(o) be the third derivative of 0 - 1/30*o**5 - 6*o**2 + 1/24*o**4 + 0*o + 0*o**3 + 1/120*o**6. Factor y(u).
u*(u - 1)**2
Let q(r) be the second derivative of -r**5/130 + r**3/39 + 6*r. Factor q(z).
-2*z*(z - 1)*(z + 1)/13
Let q = 65 - 128. Let u be 5/15 + 3/q. Factor -2/7 - u*p + 2/7*p**3 + 2/7*p**2.
2*(p - 1)*(p + 1)**2/7
Factor 2*i**3 + 0*i - 5/4*i**4 + 0 + 1/4*i**5 - i**2.
i**2*(i - 2)**2*(i - 1)/4
Let w(f) be the first derivative of -4*f**3/3 + 4*f**2 + 34. Let w(q) = 0. What is q?
0, 2
Let k(m) = 3*m**2 - 5*m - 4. Let a(q) = 9*q**2 - 16*q - 11. Let v(u) = u - 8. Let z be v(6). Let b(w) = z*a(w) + 7*k(w). Let b(s) = 0. Calculate s.
-1, 2
Let p be 1/9 + 64/(-9) + 7. Suppose 0*q + 0*q**2 + 0 + 2/5*q**5 - 2/5*q**3 + p*q**4 = 0. Calculate q.
-1, 0, 1
Let f(m) be the first derivative of -2/3*m**3 + 0*m + 0*m**2 - 1. Factor f(a).
-2*a**2
Let t be (20/45)/((-242)/3). Let k = t + 5326/363. Solve 8/9 - 14*r**4 + k*r**3 + 202/9*r**2 + 8*r = 0.
-1/3, -2/7, 2
Determine z so that 0 + 4/9*z**2 + 8/9*z**4 + 14/9*z**3 - 2/9*z = 0.
-1, 0, 1/4
Let z(w) be the third derivative of w**6/64 - w**5/80 - 5*w**4/64 + w**3/8 + 22*w**2. Determine f, given that z(f) = 0.
-1, 2/5, 1
Suppose 0 = -2*g + 3 + 1. Let m(h) be the first derivative of 2 + 0*h**g - 1/6*h**3 + 0*h. Suppose m(u) = 0. What is u?
0
Let p(w) be the third derivative of -w**7/945 + w**6/540 - 5*w**2. Find c, given that p(c) = 0.
0, 1
Let t = -791002/243355 + -251/6135. Let d = 5/119 - t. What is s in 5/3*s + 1/3 + 1/3*s**5 + d*s**3 + 5/3*s**4 + 10/3*s**2 = 0?
-1
Let h(q) be the first derivative of -5 - q**3 + 3*q**4 - 2*q**6 + 0*q + 0*q**2 + 3/5*q**5. Let h(x) = 0. What is x?
-1, 0, 1/4, 1
Let g(c) be the second derivative of 0 - c - 5/3*c**3 + 2*c**2 - 3/2*c**4 + 7/15*c**6 + 1/2*c**5. What is r in g(r) = 0?
-1, 2/7, 1
Factor 2/5*m**2 - 2/5*m**3 - 2/5 + 2/5*m.
-2*(m - 1)**2*(m + 1)/5
Let w(p) = -2*p + 4*p**3 - p + 1 + 3*p. Let j be w(1). Suppose -2/3*u**4 + 0*u + 0 + 4/3*u**3 + 2/3*u**2 - 4/3*u**j = 0. What is u?
-1, -1/2, 0, 1
Let u(k) = k**2 + k + 1. Let j(f) = 3*f**2 + 8*f + 9. Let r(l) = -3*j(l) + 12*u(l). Solve r(y) = 0 for y.
-1, 5
Let s(z) = z**2 + 2*z - 3. Let u be s(2). What is q in q**4 + 1 + 2*q - 2*q**2 + 0*q**2 - 3*q - q**u + 2*q**3 + 0*q**5 = 0?
-1, 1
Let s = -7 - -11. Determine r, given that -r**4 + 0 - 4*r**3 + 2*r**2 + 3*r**s + 0 = 0.
0, 1
Let l(w) be the second derivative of 0*w**3 + 4*w + 1/2*w**2 - 1/12*w**4 + 0. Suppose l(g) = 0. Calculate g.
-1, 1
Let v = 29 - 27. Let f(p) be the second derivative of 7/18*p**4 + v*p + 0*p**5 + 0*p**2 + 0 - 1/5*p**6 - 2/9*p**3. Determine o, given that f(o) = 0.
-1, 0, 1/3, 2/3
Let b = -642/7 + 92. Solve -4/7*q - b*q**2 + 0 + 2/7*q**3 = 0.
-1, 0, 2
What is d in 2/3*d**2 - 4/3*d + 2/3 = 0?
1
Suppose 3 = 3*o - 0*o. Suppose 3*k - 7 = -o. Suppose 2*j**k - 2*j + 0*j**2 - j**2 = 0. What is j?
0, 2
Let w(u) be the third derivative of 11*u**6/600 - u**5/15 + 7*u**4/120 + u**3/15 + 26*u**2. Factor w(d).
(d - 1)**2*(11*d + 2)/5
Let z(o) be the first derivative of -o**7/504 - 7*o**6/1080 - o**5/180 + 2*o**3 - 4. Let g(r) be the third derivative of z(r). Factor g(v).
-v*(v + 1)*(5*v + 2)/3
Let v(h) = -81*h**2 + 129*h - 15. Suppose 29 = -2*n - q - 4*q, 0 = 2*n - 2*q - 6. Let w(i) = -5*i**2 + 8*i - 1. Let d(y) = n*v(y) + 33*w(y). Factor d(c).
-3*(c - 1)**2
Let x(f) be the first derivative of -f**6/18 + f**4/6 - f**2/6 + 69. Factor x(l).
-l*(l - 1)**2*(l + 1)**2/3
Let l = -45 - -48. Factor -64/9*a - 154/9*a**2 - 98/9*a**l - 8/9.
-2*(a + 1)*(7*a + 2)**2/9
Let p = -3 - -7. Let p*o - 6*o**3 + o**4 - 3*o**4 + 4*o**2 - 2*o**2 + 4*o**5 - 2*o**5 = 0. What is o?
-1, 0, 1, 2
Let o(y) = -y**3 - 2*y**2 + y. Let i be o(-3). Let -132*x**3 + x**5 + 99*x**4 - 12*x**5 + 3 + 90*x**2 - 27*x - 16*x**5 - i*x**3 = 0. Calculate x.
1/3, 1
What is d in 17*d**3 - 6*d - 4*d**5 - 9*d**3 + 2*d = 0?
-1, 0, 1
Let l = 2/2789 - 156214/41835. Let z = -10/3 - l. What is n in z + 4/5*n + 2/5*n**2 = 0?
-1
Let d(b) be the third derivative of -b**6/840 + b**3 - 5*b**2. Let w(v) be the first derivative of d(v). Factor w(g).
-3*g**2/7
Let i(g) be the first derivative of -g**3/8 + 15*g**2/8 - 75*g/8 + 12. Factor i(c).
-3*(c - 5)**2/8
What is r in 0*r + 1/2*r**2 + 0 - 3/4*r**3 + 1/4*r**4 = 0?
0, 1, 2
Let h(t) be the second derivative of 0*t**3 + 0*t**5 - 1/25*t**6 - 2*t + 0*t**4 + 0*t**2 + 1/70*t**7 + 0. Factor h(p).
3*p**4*(p - 2)/5
Let k(q) be the third derivative of -q**5/180 - q**4/24 + 18*q**2. Let k(t) = 0. What is t?
-3, 0
Let t(a) be the first derivative of -1/16*a**4 + a - 4 + 5/12*a**3 - a**2. Let t(q) = 0. What is q?
1, 2
Suppose -2*w - m - 2 = 0, 2*w = 3*w - 4*m + 19. Let c = 0 - w. Factor -5*n**c + 4*n**2 - 2*n**3 + 6*n**3 - 4*n.
-n*(n - 2)**2
Let f(v) be the third derivative of 0*v**3 + 0*v + 0 - 1/120*v**5 + 3*v**2 + 0*v**4 - 1/840*v**7 - 1/160*v**6. Suppose f(o) = 0. What is o?
-2, -1, 0
Let w(f) be the third derivative of -f**6/540 - 2*f**5/135 + f**4/108 + 4*f**3/27 + 31*f**2. Let w(v) = 0. What is v?
-4, -1, 1
Let l(a) = a**3 - 4*a**2 + a + 1. Let p be l(4). Suppose -25 = 5*q - 5*c, p*q + 5 + 5 = 2*c. Factor 1/4*s + 1/4*s**5 + q*s**2 + 0*s**4 + 0 - 1/2*s**3.
s*(s - 1)**2*(s + 1)**2/4
Factor 0*i + 0 + 25/6*i**3 - 5/2*i**4 - 5/3*i**2.
-5*i**2*(i - 1)*(3*i - 2)/6
Suppose 0 = 2*r + r. Let l(f) be the second derivative of 1/48*f**4 + 2*f + r*f**2 - 1/10*f**5 + 0 + 1/12*f**3 + 1/24*f**6. Let l(w) = 0. What is w?
-2/5, 0, 1
Let t(z) be the second derivative of 0*z**2 - 1/110*z**5 + 0 + z - 2/33*z**3 - 1/22*z**4. Factor t(o).
-2*o*(o + 1)*(o + 2)/11
Let a(u) be the first derivative of -u**5/5 - u**4/4 - 56. Suppose a(m) = 0. What is m?
-1, 0
Suppose 6 = 2*o - x - 2, 0 = -5*o - 3*x - 2. Suppose -3*y = -5 - 4. Factor y*s**3 + s**2 - 5*s**3 + s**o.
-2*s**2*(s - 1)
Factor 2*z**4 + 16/3*z**2 + 1/3*z**5 + 2/3 + 14/3*z**3 + 3*z.
(z + 1)**4*(z + 2)/3
Let 8 - 11 - 48*m + 100*m**2 - 13 - m**3 - 35*m**3 = 0. Calculate m.
-2/9, 1, 2
Let q(m) = -3*m**2 - 1. Let w be q(-1). Let c be ((-6)/w)/(15/40)