vative of -i**9/60480 + i**7/10080 + i**4/12 - i**2. Let z(y) be the second derivative of n(y). Factor z(m).
-m**2*(m - 1)*(m + 1)/4
Factor -3/4*v**2 + 0 + 6*v.
-3*v*(v - 8)/4
Suppose 9*u - 20 = 4*u. Factor 0*l + 0 + l**3 + 1/2*l**u + 0*l**2.
l**3*(l + 2)/2
Let w(z) be the second derivative of -z**6/180 + 2*z**3/3 - 4*z. Let r(g) be the second derivative of w(g). Factor r(j).
-2*j**2
Let t(v) = -7*v - 2. Let y be t(-2). Let i be (-1)/3 + 136/y. Determine o, given that -2 - i*o**3 + 0 - 12*o + 3*o**3 - 18*o**2 = 0.
-1, -1/4
Let 3/2 + 7/2*f + 5/2*f**2 + 1/2*f**3 = 0. What is f?
-3, -1
Let z be 2/(-5)*-1 - 4/(-40). Let 1/2*d - z*d**2 + 1 = 0. Calculate d.
-1, 2
Let i(r) = -r**2 - 6*r - 2. Let z be i(-5). Suppose z*p - 5 = 4. Let -10*f**p - 4*f**2 + 2 + 4*f + 4*f**5 + 2*f**3 + 0*f**5 + 2*f**4 = 0. Calculate f.
-1, -1/2, 1
Let w be (-45)/(-75) - (-34)/10. Suppose -1/3*l - l**3 + 1/3*l**w + l**2 + 0 = 0. What is l?
0, 1
Let p(z) be the first derivative of 1/2*z**2 + 9 - 1/6*z**6 - 19/20*z**5 - 2/3*z**3 + 0*z - 27/16*z**4. Find x, given that p(x) = 0.
-2, -1, 0, 1/4
Let a(n) be the third derivative of -n**8/1008 + n**7/630 + n**6/60 + n**5/90 - 5*n**4/72 - n**3/6 + 4*n**2. Factor a(y).
-(y - 3)*(y - 1)*(y + 1)**3/3
Let c(t) be the second derivative of t**7/1260 - t**6/180 + t**5/60 + t**4/4 + t. Let w(q) be the third derivative of c(q). Suppose w(x) = 0. Calculate x.
1
Let j(h) = 4*h**4 + 4*h**3 - 3*h**2 + 4*h + 1. Let x(w) = -w. Let v = 12 + -13. Let f(k) = v*j(k) - 6*x(k). What is t in f(t) = 0?
-1, 1/2
Let q(j) be the second derivative of -1/5*j**6 + 1/14*j**7 - 3*j**2 + j**4 + 0 - 4*j + 1/2*j**3 - 3/10*j**5. Suppose q(m) = 0. Calculate m.
-1, 1, 2
Solve 5*t**3 - 20*t**4 - 40 - 4*t**2 - 13*t**2 + 49*t**2 - 20*t + 5*t**5 + 18*t**2 = 0.
-1, 2
Suppose 0 = -v + 2*v. Suppose v = y - 5*y. Find f, given that f - 2*f**5 + 4*f**4 - 4*f**2 + f + y*f**2 = 0.
-1, 0, 1
Let i(h) = -h**2 - 3*h + 1. Let r be i(-2). Factor 0 + 0*b**r + 0*b - 1/2*b**2 + 1/2*b**4.
b**2*(b - 1)*(b + 1)/2
Factor 2/3 - 1/3*z**2 + 1/3*z.
-(z - 2)*(z + 1)/3
Factor -7/2*h - 3/2*h**2 - 1.
-(h + 2)*(3*h + 1)/2
Suppose -p = 3*u + 3*p - 12, -p + 3 = 0. Factor 4/5*k**3 - 2/5 + u*k**2 + 2/5*k**4 - 4/5*k.
2*(k - 1)*(k + 1)**3/5
Suppose -4 + 47*h + 38*h - 2*h**2 + 50*h - 129*h = 0. What is h?
1, 2
Find t, given that -10/7*t**3 + 16/7*t - 2*t**2 + 8/7 = 0.
-2, -2/5, 1
Let y = -11 + 16. Suppose -3*o - 2*o - 5 = 0, 0 = -y*l - 5*o - 5. Factor 4*s**3 - 3*s**2 + 11*s - 3*s**3 + l*s**3 - 9*s.
s*(s - 2)*(s - 1)
Suppose 0*z - 2 = -z. Let f be z/(2*3/9). Factor -5*k**2 + k**2 - 2*k + 4 - 4 - 2*k**f.
-2*k*(k + 1)**2
Let f be 3/((-102)/(-4)) + 120/425. Determine w so that 2/5 - 7/5*w**3 + 7/5*w - f*w**2 = 0.
-1, -2/7, 1
Let l(d) = 3*d**2 + 9. Let s(p) = -2 - 6 - 3*p**2 - p + 0. Let i(o) = -5*l(o) - 6*s(o). Suppose i(z) = 0. What is z?
-1
Let a(i) be the third derivative of i**8/1680 - 2*i**7/525 + i**6/100 - i**5/75 + i**4/120 + 17*i**2. Find s such that a(s) = 0.
0, 1
Let t(u) be the third derivative of 1/8*u**4 - 1/12*u**5 + 0*u + 1/120*u**6 + 3/2*u**3 + 0 - 5*u**2. Determine x, given that t(x) = 0.
-1, 3
Let q(s) = 2*s**2 - 2*s - 1. Let p be q(-1). Let 16*j**3 + 14*j**4 - 2*j**p + 0*j + 18*j**3 + 4*j + 22*j**2 = 0. Calculate j.
-1, -2/7, 0
Suppose 5*p - 19 = 1. Suppose k = -p*k. Find d, given that 2/9 - 2/9*d**2 + k*d = 0.
-1, 1
Let u = 0 + -7. Let j(p) = p**2 + 7*p + 5. Let h be j(u). Find n such that 1 - 30*n**2 - 33*n + 121*n**3 + 119*n**3 + h + 6*n**2 = 0.
-2/5, 1/4
Let z(x) be the second derivative of -x**7/21 - x**6/15 + x**5/10 + x**4/6 + 4*x. Factor z(p).
-2*p**2*(p - 1)*(p + 1)**2
Let b(n) be the second derivative of -n**7/630 + n**6/180 + n**4/4 + 3*n. Let w(f) be the third derivative of b(f). Let w(v) = 0. What is v?
0, 1
Let g(k) be the third derivative of k**6/12 + k**5/4 - 25*k**4/24 + 18*k**2. Find w, given that g(w) = 0.
-5/2, 0, 1
Let c(s) be the third derivative of -s**7/70 - 3*s**6/20 - s**5/5 + 3*s**4/4 + 5*s**3/2 + 34*s**2 - 1. Factor c(r).
-3*(r - 1)*(r + 1)**2*(r + 5)
Suppose -18 = -5*c + 12. Suppose -m - c = -4*m. Factor m*o**2 - 3 + 3 + 2*o.
2*o*(o + 1)
Let d(m) be the first derivative of -m**7/210 + m**5/20 + m**4/12 + m**2/2 + 5. Let z(p) be the second derivative of d(p). Find r such that z(r) = 0.
-1, 0, 2
Let u = -4 - -20. Let z be (-12)/54 - u/(-18). Factor -1/3 - 1/3*v**5 + z*v**3 + 2/3*v**2 - 1/3*v**4 - 1/3*v.
-(v - 1)**2*(v + 1)**3/3
Let p(i) = -i**2 - 4*i + 5. Let l be p(-5). Factor -a**2 + 2*a**2 - a**4 + l*a**5 - a**5 + 4*a**4 - 3*a**3.
-a**2*(a - 1)**3
Let m be (-105)/(-33) - (-6)/(-33). Let t(p) be the second derivative of -1/90*p**5 + 1/18*p**4 + 0 - 1/9*p**m - p + 1/9*p**2. Factor t(i).
-2*(i - 1)**3/9
Let f = 33 + -31. Suppose -s = -2*s + f. Factor -2/7*a + 0 + 2/7*a**3 + 2/7*a**s - 2/7*a**4.
-2*a*(a - 1)**2*(a + 1)/7
Suppose 0 = -4*v - 2*k - 2 + 4, -4*v = 3*k - 3. Let h(r) be the first derivative of -3 - 1/10*r**5 + 1/2*r + v*r**3 - 1/2*r**2 + 1/4*r**4. Factor h(o).
-(o - 1)**3*(o + 1)/2
Suppose -9 = -4*u + u. Suppose -20*c**3 - 6 + 5*c**u + 33*c - 18*c**3 + 6*c**2 = 0. What is c?
-1, 2/11, 1
Let l(s) = 4*s**3 + 2*s**2 + s. Let n be l(-1). Let t = -1 - n. Find x, given that 3*x**3 + 2*x - t*x - x**3 - 2*x**2 = 0.
0, 1
Let c = -6 - -8. Suppose -3*f**3 - 2*f + 2*f**3 + 3*f**3 - c*f**2 + 3*f**4 - f**4 = 0. What is f?
-1, 0, 1
Let m be 8/240*3/12. Let x(p) be the third derivative of -m*p**5 + 0 + 0*p**3 + 0*p - 3*p**2 + 0*p**4. Factor x(i).
-i**2/2
Let k(h) be the first derivative of 4 + 2*h**2 + 0*h + 2*h**4 + 2/5*h**5 + 10/3*h**3. Factor k(b).
2*b*(b + 1)**2*(b + 2)
Let j(n) be the second derivative of 0*n**2 - 1/10*n**5 + 0 + 1/2*n**4 - 1/3*n**3 - 2*n - 1/5*n**6 + 2/21*n**7. Suppose j(m) = 0. Calculate m.
-1, 0, 1/2, 1
Let o(z) be the second derivative of 1/36*z**4 + 1/6*z**2 + 1/9*z**3 + 0 + 2*z. Factor o(w).
(w + 1)**2/3
Let b(s) be the second derivative of -2*s**2 + 1/24*s**4 + 1/60*s**5 + 2*s - 1/3*s**3 + 0. Let k(y) be the first derivative of b(y). Factor k(l).
(l - 1)*(l + 2)
Let b(c) be the second derivative of c**6/10 - c**5/10 + c**4/36 - 6*c. Let b(r) = 0. What is r?
0, 1/3
Let t(q) be the first derivative of -q**6/2 - 18*q**5/5 - 21*q**4/2 - 16*q**3 - 27*q**2/2 - 6*q - 3. Suppose t(c) = 0. What is c?
-2, -1
Let h be (-2)/5*(-20 - -19). What is v in -3/5*v**2 + 1/5 + h*v = 0?
-1/3, 1
Let v(t) be the second derivative of -t**6/10 - 9*t**5/20 + 2*t**3 + 19*t. Factor v(x).
-3*x*(x - 1)*(x + 2)**2
Let f be (-8)/28 + 10/35. Factor -1/3*q**2 - 1/3*q**3 + f*q + 0.
-q**2*(q + 1)/3
Suppose 2*c + 5*i = -12, c - 4*c + 28 = -4*i. Let u = 6 - c. Solve 2/5*y**3 + y**u + 4/5*y + 1/5 = 0.
-1, -1/2
Suppose s = -2, -3*y + s + 11 = -0*s. Suppose -4/5*x**4 + 2/5*x + 0 + 0*x**y - 2/5*x**5 + 4/5*x**2 = 0. Calculate x.
-1, 0, 1
Suppose 5 = -5*h + 20. Let s = -1 - -7/4. Solve s*j**2 + 7/4*j**h + 0 - 5/4*j**5 - 1/2*j - 3/4*j**4 = 0.
-1, 0, 2/5, 1
Let d(w) be the third derivative of w**7/14 + 3*w**6/40 - 7*w**5/20 - 3*w**4/8 + w**3 + 10*w**2. What is u in d(u) = 0?
-1, 2/5, 1
Let r(l) = l**5 - l**3 - l**2 + 1. Let f(i) = 6*i**5 + 25*i**4 + 19*i**3 - i**2 + 1. Let c(g) = f(g) - r(g). Factor c(a).
5*a**3*(a + 1)*(a + 4)
Let v(u) be the first derivative of 3*u**4/28 + 4*u**3/7 + 15*u**2/14 + 6*u/7 + 43. Factor v(z).
3*(z + 1)**2*(z + 2)/7
Factor -b**5 - b**4 + 2*b**2 - 74 - b**4 + 74 + b.
-b*(b - 1)*(b + 1)**3
Let j be -2 + 0 - (-8 - -3). Let f(x) be the second derivative of -x**2 + 1/12*x**4 - 1/6*x**j + 0 + 2*x. Factor f(n).
(n - 2)*(n + 1)
Suppose 4*n + 2*j + 2*j = 4, -n - 3*j = 1. Factor 0 + 18/5*v**n + 4/5*v.
2*v*(9*v + 2)/5
Let p(i) be the first derivative of 4*i**3/3 + 4*i**2 + 4*i - 7. Let p(a) = 0. What is a?
-1
Let r(f) be the second derivative of f**4/30 + 32*f**3/15 + 256*f**2/5 + 18*f. Factor r(k).
2*(k + 16)**2/5
Let m(x) = -16*x**4 + 25*x**3 + 21*x**2 + x - 4. Let q(r) = 4*r**4 - 6*r**3 - 5*r**2 + 1. Let o(b) = -2*m(b) - 9*q(b). Factor o(i).
-(i - 1)**2*(2*i + 1)**2
Suppose -3 + 7 - 4 + 2*p**4 = 0. Calculate p.
0
Let s = 12/35 - -244/105. What is q in s*q - 2/3*q**2 - 8/3 = 0?
2
Let l(h) = 4*h**2 + 6*h + 5. Let z(f) = -3*f**2 - 5*f - 4. Let r(m) = 4*l(m) + 5*z(m). Solve r(o) = 0.
0, 1
Factor 4/9*d + 2/3 - 2/9*d**2.
-2*(d - 3)*(d + 1)/9
Factor 0 - 2/5*j - 2/5*j**3 