/2, 1
Let h(r) be the third derivative of r**8/56 - r**7/21 + r**6/30 + 3*r**2. Suppose h(l) = 0. What is l?
0, 2/3, 1
Let d(l) = -4*l**3 - 5*l**2 - 3*l + 3. Let i(j) = j**2 - j + 1. Let z(s) = -d(s) + 3*i(s). Factor z(p).
4*p**2*(p + 2)
Suppose 3*z + 1 = -5. Let c(o) = -o**2 + 6*o. Let j(r) = 2*r. Let t(w) = z*c(w) + 5*j(w). Solve t(y) = 0 for y.
0, 1
Suppose -2*a = -4 - 0. Let d(q) be the third derivative of 0*q**3 - a*q**2 + 0 + 1/120*q**6 + 1/30*q**5 + 0*q + 1/24*q**4. Factor d(f).
f*(f + 1)**2
Let z be (90/(-368))/((-3)/2). Let o = 2/23 + z. Factor 1/4*j**2 - o + 1/4*j - 1/4*j**3.
-(j - 1)**2*(j + 1)/4
Let m(w) be the first derivative of 0*w**3 + 0*w**4 - 6 + 3/10*w**5 + 9/8*w**6 + 0*w**2 + 0*w. Suppose m(k) = 0. What is k?
-2/9, 0
Let t(o) = -8*o**4 - 3*o**3 + 27*o**2 + 11*o. Let h(i) = -4*i**4 - 2*i**3 + 14*i**2 + 6*i. Let m(s) = -11*h(s) + 6*t(s). Find d such that m(d) = 0.
-1, 0, 2
Let u(o) be the first derivative of o**4/32 - o**3/24 - 3*o**2/8 - 3. Factor u(a).
a*(a - 3)*(a + 2)/8
Let b(i) be the first derivative of i**3/18 - 5*i**2/6 + 25*i/6 - 23. Solve b(s) = 0.
5
Let c be ((-2)/24)/((-38)/152). Suppose 1/3*n**3 - c*n - n**2 + 1 = 0. Calculate n.
-1, 1, 3
Let g(q) = q**2. Let t(h) = -2*h**2 + 24*h - 32. Let k(n) = -2*g(n) + t(n). Solve k(x) = 0 for x.
2, 4
Let m(n) = -5*n**2 - 8*n - 4. Let h(b) = -b**2 - b. Let y be -2*(0 + -1 + 3). Suppose 0 = -w - 1 + 2. Let j(g) = w*m(g) + y*h(g). What is c in j(c) = 0?
-2
Let c be (-9)/3 + 2 + 2. Let n be (-2 + 0 + 2)/c. Factor 1/4*f**5 + n + 0*f + 0*f**4 - 1/4*f**3 + 0*f**2.
f**3*(f - 1)*(f + 1)/4
What is j in -16/5*j - 7/5*j**2 - 1/5*j**3 - 12/5 = 0?
-3, -2
Let l(o) be the third derivative of -o**7/3360 + o**6/288 - o**5/60 + o**4/24 + o**3/3 - 2*o**2. Let d(k) be the first derivative of l(k). Factor d(f).
-(f - 2)**2*(f - 1)/4
Let p be (-12)/5 - (-9)/(-15). Let o(b) = -5*b**3 - 9*b**2 - 12*b - 8. Let m(w) = -4*w**3 - 8*w**2 - 11*w - 7. Let h(d) = p*o(d) + 4*m(d). Solve h(g) = 0 for g.
-2, -1
Let a**2 + 4*a**2 - 3*a**3 - 3*a**4 - 2*a**2 + 3*a**5 = 0. Calculate a.
-1, 0, 1
Let l be 260/(-45) - (-6)/(-27). Let v(c) = 4*c**2 + c. Let g(q) = 23*q**2 + 6*q. Let b(o) = l*g(o) + 34*v(o). Factor b(y).
-2*y*(y + 1)
Let m = -1 - -5. Factor 2*b**4 - 3*b**4 + b**3 + b**5 + 3*b**m.
b**3*(b + 1)**2
Suppose -9*u**5 - 48*u**4 - 27*u**5 + 63*u**2 - 63*u**2 - 16*u**3 = 0. Calculate u.
-2/3, 0
Let 12/5*h + 8*h**2 + 0 + 48/5*h**3 + 24/5*h**4 + 4/5*h**5 = 0. Calculate h.
-3, -1, 0
Let j(k) be the second derivative of k**5/10 + 2*k**4/3 - k**3/3 - 4*k**2 + 8*k - 1. Factor j(a).
2*(a - 1)*(a + 1)*(a + 4)
Let -17/4*d**2 - 17/4*d**3 - 7/4*d**4 + 0 - 3/2*d - 1/4*d**5 = 0. What is d?
-3, -2, -1, 0
Suppose -75/2*t**2 + 63/2*t**4 + 6 + 12*t**3 - 12*t = 0. Calculate t.
-1, -2/3, 2/7, 1
Let f(t) be the first derivative of -t**5/10 + 2*t**4/3 - 5*t**3/3 + 2*t**2 - 6*t + 3. Let u(i) be the first derivative of f(i). What is s in u(s) = 0?
1, 2
Let y(k) be the first derivative of k**6 - 9*k**5/5 - 9*k**4/4 + 2*k**3 + 15. Let y(c) = 0. What is c?
-1, 0, 1/2, 2
Let u(k) be the first derivative of -k**4/2 - 2*k**3/3 + 2*k**2 + 2. Solve u(f) = 0.
-2, 0, 1
Let x(k) = -k**4 + 4*k**3 - 4*k**2 - 14*k + 11. Let q(y) = -y**4 - y**2 - y + 1. Let z(h) = -2*q(h) + x(h). Find m, given that z(m) = 0.
-3, 1
Let c(a) be the third derivative of 1/45*a**5 + 5*a**2 + 1/36*a**6 + 0 - 1/12*a**4 + 0*a + 0*a**3. Factor c(u).
2*u*(u + 1)*(5*u - 3)/3
Let -5*u + 3*u**2 - 2*u**2 - 5*u**2 - 19*u - 36 = 0. Calculate u.
-3
Let d(v) = -v**2 - 10*v. Let p be d(-10). Suppose w = -3*w - 5*m + 25, 4*w + m - 5 = p. Factor 22/9*g**4 + w - 4/9*g + 14/9*g**2 + 40/9*g**3.
2*g*(g + 1)**2*(11*g - 2)/9
Let z be -1 + 3 + 12/(-8). Let s(w) be the first derivative of -w + 1/4*w**4 - z*w**2 + 1/3*w**3 - 2. Suppose s(r) = 0. Calculate r.
-1, 1
Let o be (1 + 0)*2 + (-39 - -39). Factor 25/3*u**o + 1/3 - 10/3*u.
(5*u - 1)**2/3
Let a(h) be the second derivative of -1/21*h**4 - 3*h - 1/21*h**3 + 0*h**2 + 0. Determine w so that a(w) = 0.
-1/2, 0
Let u(l) = -2*l**2 - 7*l. Let b be u(-3). Let a(h) be the first derivative of 0*h**b + 0*h + 0*h**2 - 2/15*h**5 - 1/6*h**4 + 3. Factor a(z).
-2*z**3*(z + 1)/3
Let h be (-9 - -7)*(-1 - 1). Let i be (-1)/(3/(-4)) + h. Factor i*n**2 + 2/3 - 4*n.
2*(2*n - 1)*(4*n - 1)/3
Let i be (9/3 + -5)*-1. Factor -16 - i*p - 4*p**4 - 8*p**2 + 0*p - 10*p**3 + 16.
-2*p*(p + 1)**2*(2*p + 1)
Let t(a) be the second derivative of 1/5*a**3 + 7/50*a**6 + 0*a**2 + 11/20*a**4 + 12/25*a**5 - 2*a + 0. Solve t(p) = 0.
-1, -2/7, 0
Suppose 0 = -3*x + x. Solve -h**4 + x*h**3 + 6*h**3 - 7*h**3 = 0 for h.
-1, 0
Let o(t) be the first derivative of -4*t**3/15 - t**2 - 4*t/5 - 26. Let o(p) = 0. What is p?
-2, -1/2
Solve 4/3*d**2 + 2/3*d + 0 + 2/3*d**3 = 0.
-1, 0
Let q = 33 - 34. Let o be 21/35 + q/5. Solve o + s**3 + 9/5*s + 12/5*s**2 = 0 for s.
-1, -2/5
Factor 0 + 7*i**3 + 0*i + 1/5*i**5 - 11/5*i**4 - 5*i**2.
i**2*(i - 5)**2*(i - 1)/5
Let t(o) be the second derivative of 5*o**5/4 + 65*o**4/12 + 10*o**3/3 - 10*o**2 - 6*o. Solve t(a) = 0.
-2, -1, 2/5
Factor 4/5*d**2 + 0 - 2/5*d - 2/5*d**3.
-2*d*(d - 1)**2/5
Let p(d) be the third derivative of -2/63*d**7 + d**2 + 0*d + 13/360*d**6 + 0*d**3 + 1/112*d**8 + 0 - 1/90*d**5 + 0*d**4. Solve p(a) = 0.
0, 2/9, 1
Let t(i) = 2*i**3 + i - 3. Let k(u) = -u**3 - u + 2. Let w be (-12)/5 - (-6)/15. Let j(l) = w*t(l) - 3*k(l). What is o in j(o) = 0?
-1, 0, 1
Solve 0 + 2/7*k**3 - 2/7*k + 0*k**2 = 0 for k.
-1, 0, 1
Let c be (-3 - -2)/(-1 - 2/(-4)). Find u such that 0*u**4 + 0*u**c + 2*u + 0 + 1/2*u**5 - 5/2*u**3 = 0.
-2, -1, 0, 1, 2
Let i(l) = 5*l**2 + 7*l - 4. Let g be i(-2). Factor 2/5*d + 0 + 2/5*d**3 + 4/5*d**g.
2*d*(d + 1)**2/5
Let f(h) be the third derivative of h**5/40 - h**4/16 - 11*h**2. Factor f(d).
3*d*(d - 1)/2
Let y(t) be the second derivative of t**9/45360 - t**7/7560 - t**4/12 - t. Let j(u) be the third derivative of y(u). Solve j(w) = 0 for w.
-1, 0, 1
Find b, given that 2/7*b - 3/7 + 1/7*b**2 = 0.
-3, 1
Let h = 1533/4 - 383. Factor 1/4*o**3 + 0 - 1/4*o - 1/4*o**2 + h*o**4.
o*(o - 1)*(o + 1)**2/4
Let c(a) = a - 2. Let h be c(6). Suppose h*x = 5*u + 33, -2*x - 2*u = -6*x + 18. Suppose -5*g + g - 4*g**2 + 3*g + 3*g**x = 0. Calculate g.
-1, 0
Let t(v) be the first derivative of -v**6/120 - v**5/30 - v**4/24 - v**2/2 - 3. Let y(d) be the second derivative of t(d). Solve y(c) = 0 for c.
-1, 0
Let u(b) be the second derivative of -b**5/270 - b**4/27 - 4*b**3/27 - b**2/2 - 5*b. Let j(x) be the first derivative of u(x). Factor j(f).
-2*(f + 2)**2/9
Let l = 108 - 103. Let a(b) be the second derivative of -1/20*b**l - 5/6*b**3 - 1/3*b**4 + 0 - b - b**2. Suppose a(i) = 0. Calculate i.
-2, -1
Suppose 35 = 10*l - 5*l. Factor n - 2 + l*n - 9*n + 4*n**2 + 2*n**3 - 2*n**4 - n**5.
-(n - 1)**2*(n + 1)**2*(n + 2)
Let s(j) = -2*j**3 - j**2 + 3. Let n(p) = p**3 + p**2 - 1. Let z(l) = -3*n(l) - s(l). Let z(o) = 0. What is o?
-2, 0
Let c(v) = 7*v**3 + 9*v**2 + 5. Let r(a) = -3*a**3 - 4*a**2 - 2. Suppose 5*l = -0 + 20. Let x(u) = l*c(u) + 10*r(u). Factor x(d).
-2*d**2*(d + 2)
Let n(p) be the second derivative of -p**4/24 - p**3/3 - p**2 + 19*p. Factor n(o).
-(o + 2)**2/2
Let 224 + 2*x**2 + 6*x**2 - 224 + 12*x**3 + 4*x**4 = 0. What is x?
-2, -1, 0
Let m = -7 + 7. Suppose 2*v - 6 = m, f = -0*v - 3*v + 9. Find x such that 0 + 2/3*x**3 + f*x**2 - 2/3*x = 0.
-1, 0, 1
Let i = 114 + -1139/10. Let z(j) be the second derivative of 0*j**4 + 3/2*j**2 - j**3 - 3*j - i*j**6 + 0 + 3/10*j**5. Solve z(g) = 0.
-1, 1
Suppose 63*i - 63*i + i**3 - i**2 = 0. Calculate i.
0, 1
Let w(h) be the third derivative of -h**7/630 + h**5/20 + h**4/18 - 2*h**3/3 + h**2 + 28*h. What is c in w(c) = 0?
-2, 1, 3
Factor 32/15*m**3 + 0*m**2 + 2/15*m**5 - 16/15*m**4 + 0 + 0*m.
2*m**3*(m - 4)**2/15
Let i(s) be the first derivative of s**6/630 + s**5/140 + s**4/84 - s**3 + 3. Let q(n) be the third derivative of i(n). Suppose q(t) = 0. What is t?
-1, -1/2
Let f be 102/(-14) - 12/(-42). Let y(m) = -10*m**2 + 6*m. Let j(s) = -11*s**2 + 7*s. Let x(r) = f*y(r) + 6*j(r). Factor x(v).
4*v**2
Let c be 2 + -2 + 2 + 0. Let j be (-1)/2*(-2 + c). Suppose -f + j*f + 2*f**2 - f**2 = 0. What is f?
0, 1
Let t(v) be the third derivative of -v**5/150 + v**4/12 - 4*v**3/15 + 41*v**2. Factor t(d).
-2*(d - 4)