 + 5*s(d). Factor k(y).
(y + 7)*(3*y - 2)
Let a = -500 - -503. Let p(k) be the first derivative of 3/16*k**4 + 1 - 1/20*k**5 - 1/12*k**a + 1/2*k - 3/8*k**2. Suppose p(d) = 0. Calculate d.
-1, 1, 2
Let i be 10/(-55) + (-47)/(-77). Let w(n) be the first derivative of 1/7*n**3 - i*n**2 + 4 + 3/7*n. Find x such that w(x) = 0.
1
Suppose 0 = -3*l - 0. Factor 2*d**2 - 4*d + 8*d + l*d.
2*d*(d + 2)
Factor -1922/7 - 2/7*k**2 + 124/7*k.
-2*(k - 31)**2/7
Let w(d) be the third derivative of 0*d - 1/5*d**4 + 1/50*d**5 + 4/5*d**3 + 3*d**2 + 0. Factor w(t).
6*(t - 2)**2/5
Factor -15*f + 30*f**3 + 3*f**5 + 28*f + 21*f**4 - 6*f**2 - 15 - 46*f.
3*(f - 1)*(f + 1)**3*(f + 5)
Suppose -11*f + 10 = -6*f. Let c = -2 + f. Factor 0*q**2 + c*q + 0 + 1/2*q**5 + 1/2*q**3 - q**4.
q**3*(q - 1)**2/2
Let f(q) be the first derivative of 1/4*q**4 + 1/5*q**5 + 0*q - 21 - 2/3*q**3 + 0*q**2. Factor f(u).
u**2*(u - 1)*(u + 2)
Suppose 7*s - 27 = 16*s. Let g be (-10)/(-3 + 8)*1/s. Determine i, given that -1/3*i**5 + 2/3*i**3 + g + 8/3*i**2 + 7/3*i - 2/3*i**4 = 0.
-1, 2
Let q = 5/11 - 23/99. Let l(m) be the first derivative of 0*m**4 - q*m**3 + 1/3*m + 1 + 1/15*m**5 + 0*m**2. Factor l(f).
(f - 1)**2*(f + 1)**2/3
Solve 18/5*x - 3 - 3/5*x**2 = 0.
1, 5
Suppose 150 = 4*q - 9*q. Let u(m) = -m**2 - 11*m. Let t(l) = l - 1. Let k(z) = q*t(z) - 5*u(z). Factor k(x).
5*(x + 2)*(x + 3)
Let m be (-18)/(-6624)*8*(15 + 1). Suppose 6/23 + 2/23*q**2 - m*q = 0. Calculate q.
1, 3
Let l(g) = g**2 + 24*g - 112. Let j be l(4). Let v(t) be the second derivative of j - 1/84*t**4 - t + 1/14*t**3 - 1/7*t**2. Suppose v(o) = 0. What is o?
1, 2
Let s = 14 - 12. Let l be (1/s)/(1/4). Let -8*c**2 + 6*c + c**2 + 9*c**l + 0*c**2 = 0. Calculate c.
-3, 0
Suppose 0 = b + 3 - 10. Suppose 6 = -5*y + b*y. Factor -9*a**2 - a**2 - 13*a**3 + a**y - 2*a.
-2*a*(2*a + 1)*(3*a + 1)
Find l such that 959*l**4 + 0*l - 36*l**2 + 24*l + 6*l**3 - 3*l**5 - 950*l**4 = 0.
-2, 0, 1, 2
Let b be ((-16)/12)/(4/(-42)). Determine n, given that -34*n**3 - 17*n**3 - 8*n - b*n**4 + 5*n**3 - 40*n**2 = 0.
-2, -1, -2/7, 0
Let t = -366 - -372. Let s(v) be the third derivative of 1/330*v**5 + 2*v**2 - 1/660*v**t + 0 + 0*v + 1/132*v**4 - 1/33*v**3. Find x, given that s(x) = 0.
-1, 1
Let w(h) be the first derivative of -h**8/336 + h**7/84 + h**6/24 - 8*h**3/3 - 7. Let z(x) be the third derivative of w(x). Factor z(v).
-5*v**2*(v - 3)*(v + 1)
Let k = -9408 + 9410. Factor 0*i**k + 0 + 0*i - 2/5*i**3.
-2*i**3/5
Determine c so that 3/2*c**3 + 15*c**2 - 60 - 6*c = 0.
-10, -2, 2
Let x(q) = -6*q - 238. Let m be x(0). Let c = m - -240. Find r such that 5/2*r + 5*r**3 - 5/2*r**4 - 1/2 - 5*r**c + 1/2*r**5 = 0.
1
Let k(u) be the third derivative of u**6/300 - 2*u**5/75 + u**4/20 + 2*u**2 + 91*u. Let k(x) = 0. Calculate x.
0, 1, 3
Let g(z) = 2*z**3 - 7*z**2 + 38*z - 24. Let v(d) = 6*d**3 - 24*d**2 + 114*d - 72. Let u(w) = 8*g(w) - 3*v(w). What is k in u(k) = 0?
1, 3, 4
Let b = 1/451 - -2252/1353. Factor -1/3 - 10/3*j**3 - 10/3*j**2 - 1/3*j**5 - 5/3*j**4 - b*j.
-(j + 1)**5/3
Let c(r) be the second derivative of 7/2*r**2 - 1/15*r**5 - 4/3*r**3 + 0 + 1/2*r**4 - 2*r. Let h(s) be the first derivative of c(s). Find i such that h(i) = 0.
1, 2
Let b(i) = 15*i**3 + 45*i**2 + 65*i - 5. Let u(k) = 13*k**3 + 44*k**2 + 64*k - 4. Let m(v) = 4*b(v) - 5*u(v). Factor m(w).
-5*w*(w + 2)*(w + 6)
Let x(m) = -22*m**3 + 38*m**2 - 20*m + 4. Let r(s) = -s**3 - s**2 + 3*s - 1. Let b(j) = -15*r(j) - 5*x(j). Solve b(a) = 0 for a.
1/5, 1
Let l(y) be the second derivative of -2*y**3 - 1/80*y**5 - 1/4*y**4 - 5*y - 8*y**2 + 0. Factor l(z).
-(z + 4)**3/4
Let a(v) be the third derivative of -v**7/105 + 7*v**6/60 + v**5/3 - 4*v**4/3 + 390*v**2. Factor a(t).
-2*t*(t - 8)*(t - 1)*(t + 2)
Find m such that 20/7*m**2 + 0 - 11/7*m**4 + 13/7*m**3 - 4/7*m = 0.
-1, 0, 2/11, 2
Find s, given that -7/5*s**3 + 0 - 13/5*s**2 - 6/5*s = 0.
-1, -6/7, 0
Determine u, given that 49/5*u + 48/5 + 1/5*u**2 = 0.
-48, -1
Determine z so that -28/9*z + 2/9*z**2 + 16/3 = 0.
2, 12
Let q be -2 + 6/18*52/8. Let x(u) be the second derivative of -2/15*u**6 - q*u**3 + 7*u - 1/3*u**2 + 1/18*u**7 + 7/18*u**4 + 0 - 1/15*u**5. Solve x(m) = 0.
-1, -2/7, 1
Let q(p) = 7*p**2 + 3 + 5*p**3 + p**3 - 3*p**3 - 7*p**3. Let v(n) = 4*n**3 - 8*n**2 - 4. Let x(u) = 4*q(u) + 3*v(u). Find s, given that x(s) = 0.
0, 1
Let g(t) = -13*t**2 - 3. Let n(y) be the first derivative of -y**3/3 - y - 16. Let w(z) = 2*g(z) - 22*n(z). Find u, given that w(u) = 0.
-2, 2
Let g(v) be the second derivative of v**6/150 - 11*v**5/100 + 7*v**4/10 - 32*v**3/15 + 16*v**2/5 + 9*v + 3. Find l such that g(l) = 0.
1, 2, 4
Let b(m) = -7*m**4 + 38*m**3 - 85*m**2 - 234*m + 288. Let l(x) = 8*x**4 - 36*x**3 + 84*x**2 + 232*x - 288. Let d(u) = -4*b(u) - 3*l(u). Factor d(j).
4*(j - 6)**2*(j - 1)*(j + 2)
Let q(n) be the first derivative of 2*n**3/27 - 2*n**2/3 + 10*n/9 + 78. Factor q(b).
2*(b - 5)*(b - 1)/9
Let u be 355/(-21) - (-108 + 91). Let 2/7*v**4 + u*v**2 + 10/21*v**3 + 0 - 2/21*v = 0. Calculate v.
-1, 0, 1/3
Let b be -1 + 5 - (-992 + 15). Let v = 10799/11 - b. What is w in -10/11*w**3 - v*w + 0 + 16/11*w**2 + 2/11*w**4 = 0?
0, 1, 2
Let z(f) = -7*f**4 - 37*f**3 - 57*f**2 - 33*f - 6. Let y(u) = -14*u**4 - 74*u**3 - 113*u**2 - 65*u - 12. Let n(d) = 2*y(d) - 5*z(d). Factor n(j).
(j + 1)**2*(j + 3)*(7*j + 2)
Let v = 1601 + -1595. Let d(w) be the first derivative of -v*w - w**3 - 7 - 9/2*w**2. Suppose d(o) = 0. What is o?
-2, -1
Let n be (-3066)/(-1752) - 1/(-4). Factor 1/8*k**n - k + 7/8.
(k - 7)*(k - 1)/8
Suppose -2*o = o - 504. Find q, given that o*q + 0*q**3 + 4*q**3 + 60*q**2 + 500 + 132*q = 0.
-5
Let g(f) = f**2 - f + 3. Let d(l) = -4*l**2 - 2*l - 3. Let w(k) = -d(k) - 3*g(k). What is m in w(m) = 0?
-6, 1
Factor -19*t**3 + 15*t**2 + 2*t**5 + 5*t**4 + 7*t**5 - 4*t**5 + 0*t**4 - 6*t**3.
5*t**2*(t - 1)**2*(t + 3)
Let -26*f**3 - 4*f**4 + 6*f**3 + 12*f**2 + 20*f**2 - 8*f**3 = 0. What is f?
-8, 0, 1
Let l(p) be the second derivative of -2*p**2 - 4/5*p**5 + 0 - 2*p**4 - 8/3*p**3 - 9*p - 2/15*p**6. Let l(j) = 0. Calculate j.
-1
Let s(x) be the second derivative of -x**6/720 - x**5/120 - 2*x**3 + 8*x. Let d(o) be the second derivative of s(o). Factor d(h).
-h*(h + 2)/2
Let n = 774 - 773. Let u(c) be the first derivative of 2/5*c + 1/2*c**2 + 1/20*c**4 + 4/15*c**3 - n. Factor u(j).
(j + 1)**2*(j + 2)/5
Let t(j) be the third derivative of -5/16*j**4 + 9*j**2 + 1/10*j**5 + 0*j - 1/80*j**6 + 1/2*j**3 + 0. Factor t(m).
-3*(m - 2)*(m - 1)**2/2
Let c(t) = 3*t - 9. Let l be c(3). Let y(i) be the third derivative of l*i**4 + 0*i - 1/60*i**6 - 4/3*i**3 + 1/10*i**5 - i**2 + 0. What is b in y(b) = 0?
-1, 2
Factor -84*r**3 + 12446784 + 1/4*r**4 + 10584*r**2 - 592704*r.
(r - 84)**4/4
Factor 25*a**2 + 3722*a**3 - 3725*a**3 - 25*a - 101*a**2.
-a*(a + 25)*(3*a + 1)
Let x be ((-2)/6 + 1)*(-2070)/(-345). Determine c so that 12*c + 300/7*c**3 - 360/7*c**2 - 6/7 + 750/7*c**x = 0.
-1, 1/5
Let h(s) = -4*s + 29. Let o be 4/(2*-8) + 50/8. Let w be h(o). Find c such that 0 + 3/4*c**w + 3/2*c**4 - 3/2*c**2 + 0*c**3 - 3/4*c = 0.
-1, 0, 1
Suppose 86 = j - 5*z, -z + 24 = 4*j - 299. Suppose -3*q - 139 = -5*i - 25, -q = 4*i - j. Let 3*v**5 + i*v**3 + 3*v - 27/2*v**2 + 0 - 27/2*v**4 = 0. Calculate v.
0, 1/2, 1, 2
Let k(h) be the second derivative of -h**7/735 + h**6/840 + 7*h**2 + h. Let s(n) be the first derivative of k(n). Factor s(i).
-i**3*(2*i - 1)/7
Suppose 51*f + 73*f + 56*f = 0. Factor 8/7*y - 4/7*y**2 + f.
-4*y*(y - 2)/7
Let z = 1331 - 2661/2. Factor 1/2*o**3 + 0 - 1/2*o**5 + 1/2*o**2 + 0*o - z*o**4.
-o**2*(o - 1)*(o + 1)**2/2
Solve -22*f**2 + 0 + 484/7*f - 40/7*f**3 - 2/7*f**4 = 0 for f.
-11, 0, 2
Solve 22/15*n + 2/5*n**5 - 2/5 + 2/3*n**4 - 4/15*n**2 - 28/15*n**3 = 0 for n.
-3, -1, 1/3, 1
Let b(s) = -s**2 - 75*s + 946. Let y be b(11). Let f(p) be the third derivative of 0*p - 1/84*p**4 + 1/210*p**5 + y - 2*p**2 + 0*p**3. What is x in f(x) = 0?
0, 1
Let a = 1600 + -1598. What is m in 7/6*m**5 + 0 + 0*m**a + 0*m**3 + 0*m + 1/3*m**4 = 0?
-2/7, 0
Suppose 0 = 2*d + 3*s + 10 - 30, 3*d = 4*s + 13. Suppose 5*h = 17 - d. Solve -2*x**3 + 18 - 7*x**2 - 5*x + 2*x - 3*x - 3*x**h = 0.
-3, 1
Let -274/15*x - 28/3*x**2 - 2/15*x**3 - 136/15 = 0. Calculate x.
-68, -1
Let c(w) be the second derivative of -w**5/90 - w**4/27