of -3/20*i**5 + 5/4*i**4 - 4*i**3 + 27*i + 6*i**2 + 0. What is m in y(m) = 0?
1, 2
Let o(a) be the third derivative of a**3 + 0 + 1/90*a**6 + 1/6*a**4 + 0*a + 9*a**2 + 1/15*a**5. Let z(m) be the first derivative of o(m). What is q in z(q) = 0?
-1
Suppose -6*l - 1 = -4*l - h, 4*h = -3*l + 4. Let i(b) = -b**2 + 2*b + 2. Let d be i(l). Factor 0 + 2/5*j - 2/5*j**d.
-2*j*(j - 1)/5
Solve -648/7 + 468/7*q + 4/7*q**3 - 80/7*q**2 = 0.
2, 9
Let v be 3/15*(-1)/(12/(-10)). Let p(u) be the second derivative of -6*u - 1/6*u**2 - 1/15*u**5 - v*u**4 + 0 - 2/9*u**3 - 1/90*u**6. Factor p(z).
-(z + 1)**4/3
Let m(h) = h**3 + 16*h**2 - 4*h - 62. Let c be m(-16). Let k(w) be the first derivative of 2/27*w**3 - 8/9*w**c + 32/9*w + 3. Factor k(f).
2*(f - 4)**2/9
Let y(a) = 12*a**5 - 21*a**4 + 6*a**3 + 3*a**2. Let l(v) = -11*v**5 + 21*v**4 - 6*v**3 - 4*v**2. Let h(i) = 3*l(i) + 4*y(i). Find c such that h(c) = 0.
0, 2/5, 1
Let b be (-52)/(-208) - (3/20)/3. Let w(m) be the first derivative of 1/10*m**2 + 1/15*m**3 - 1/20*m**4 + 5 - b*m. What is h in w(h) = 0?
-1, 1
Suppose 10*k + 2*k + 19*k**2 - 10*k**5 - 79*k**2 + 6*k**4 - 11*k**5 + 63*k**3 = 0. What is k?
-2, 0, 2/7, 1
Let r(k) be the first derivative of k**4/12 - 61*k**3/9 - 223. What is t in r(t) = 0?
0, 61
Let c(l) = 122*l**2 - 40*l - 42. Let v(r) = 146*r**2 - 40*r - 42. Let k(d) = 6*c(d) - 5*v(d). Solve k(y) = 0 for y.
-1, 21
Let f(z) be the first derivative of -15 - 55/4*z**2 + 10/3*z**3 - 15/2*z. Factor f(p).
5*(p - 3)*(4*p + 1)/2
Let z = 333 - 995/3. Find p such that 4/3 - z*p**2 + 2/3*p - 2/3*p**3 = 0.
-2, -1, 1
Let l(m) be the first derivative of -2*m - m**4 - 4*m**2 + 6 - 10/3*m**3. Factor l(c).
-2*(c + 1)**2*(2*c + 1)
Let y(f) = f**3 + 15*f**2 - 15*f + 18. Let u be y(-16). Suppose 3*r + 14 = 2*g, 0*g + u = -2*g - 5*r. Factor 0*v**2 + 12 - 2*v - 8*v**2 + 6*v - g*v**3 - 4*v**2.
-4*(v - 1)*(v + 1)*(v + 3)
Suppose -48*l**2 - 403*l**3 + 16*l**4 - 2 + 415*l**3 - 68*l - 19 - 3 = 0. What is l?
-1, -3/4, 2
Let o(l) = -l - 1. Let h be o(-2). Suppose 3*f + h - 337 = -5*y, 4*y - 3*f = 258. Determine s, given that -3*s**2 + 45*s - y + 18 - 21*s = 0.
4
Determine i so that 16/3 + 53/3*i**2 + 16*i + 2*i**4 + 1/6*i**5 + 53/6*i**3 = 0.
-4, -2, -1
Let a(c) be the third derivative of -c**6/90 - c**5/15 - c**4/6 - 4*c**3/3 + 18*c**2. Let y(w) be the first derivative of a(w). Solve y(z) = 0 for z.
-1
Let x(a) be the second derivative of -9/10*a**5 + 2/5*a**6 + 0*a**2 + 25*a - 15/16*a**4 + 0 - 1/4*a**3. Factor x(n).
3*n*(n - 2)*(4*n + 1)**2/4
Determine k, given that -8/3 + 2/9*k**3 - 2/9*k + 8/3*k**2 = 0.
-12, -1, 1
Let t(i) be the second derivative of i**4/4 - 5*i**3/2 + 9*i**2 - 7*i - 5. Suppose t(a) = 0. What is a?
2, 3
Factor o**2 + 0*o + 6/5*o**4 + 0 - 31/5*o**3.
o**2*(o - 5)*(6*o - 1)/5
Let k(z) be the third derivative of z**6/40 - 67*z**5/60 + 11*z**4/12 + 70*z**2. Let k(h) = 0. Calculate h.
0, 1/3, 22
Determine k so that 2*k**2 - 11*k**4 + 46*k**5 + 14*k**4 - 47*k**5 - 5*k**3 + k**4 = 0.
0, 1, 2
Let u(k) = 26*k**3 - k**2 + 2*k - 1. Let n be u(1). Find j, given that 8*j - 24 - 6*j + n*j + 12*j**2 = 0.
-3, 2/3
Let a be 15/(-20) - (2/6 - 12927/7812). Determine r, given that -a*r**2 - 20/7*r - 24/7 = 0.
-3, -2
Let a = 49 + -57. Let q(m) = 12*m**2 + 128*m + 300. Let k(f) = -4*f**2 - 43*f - 100. Let c(h) = a*k(h) - 3*q(h). Factor c(j).
-4*(j + 5)**2
Let f(u) be the third derivative of -1/30*u**5 + 0*u + 1/72*u**6 - 1/18*u**4 - 22*u**2 - 1/630*u**7 + 0 + 4/9*u**3. Suppose f(t) = 0. Calculate t.
-1, 2
Let y = -826/5 - -166. Factor -4/5*w - y*w**3 + 1/5 + 6/5*w**2 + 1/5*w**4.
(w - 1)**4/5
Let p(b) = b**3 + b**2 - b + 1. Let y(m) = -5*m**4 - 105*m**3 - 335*m**2 - 115*m + 520. Let o(r) = 20*p(r) + y(r). Factor o(n).
-5*(n - 1)*(n + 3)**2*(n + 12)
Let d(k) be the first derivative of -2*k**3/3 + 21*k**2 - 40*k + 299. Solve d(z) = 0 for z.
1, 20
Suppose -5*n + 4*n + 4 = 0. Let f(x) be the first derivative of x**2 + 7*x + n + 5*x + x**3 - x**2 - 6*x**2. Find t, given that f(t) = 0.
2
Let r = -85 - -127. Let n be (-92)/(-126) - ((-114)/r + 3). Factor 2/9*o**2 + 0 - n*o.
2*o*(o - 2)/9
Let f(x) be the third derivative of x**9/211680 + x**8/17640 + 19*x**5/30 + 5*x**2. Let b(c) be the third derivative of f(c). Let b(j) = 0. Calculate j.
-4, 0
Let b(n) be the third derivative of n**11/365904 + n**10/69300 + n**9/83160 - 8*n**5/15 + 32*n**2. Let c(r) be the third derivative of b(r). Factor c(t).
2*t**3*(t + 2)*(5*t + 2)/11
Let i(d) be the third derivative of 19*d**5/150 - 7*d**4/10 + 8*d**3/15 - 595*d**2. Factor i(v).
2*(v - 2)*(19*v - 4)/5
Let q be 204 + (-1)/(3/(-6)). Factor 8*r**3 + 0*r**3 + 2*r**5 + q - 210 + 8*r**4 - 10*r - 4*r**2.
2*(r - 1)*(r + 1)**3*(r + 2)
Let x(m) be the second derivative of m**6/240 - m**5/120 - 3*m**2/2 - 9*m. Let q(f) be the first derivative of x(f). Factor q(v).
v**2*(v - 1)/2
Factor -1/5*o**3 + 213/5*o**2 - 15123/5*o + 357911/5.
-(o - 71)**3/5
Let y(v) be the first derivative of 1/6*v**6 - 11 + 0*v + 0*v**4 + 2/5*v**5 - 2/3*v**3 - 1/2*v**2. Factor y(a).
a*(a - 1)*(a + 1)**3
Let s be -12 - -18 - (2 - -4). Let c(y) be the second derivative of 2/3*y**3 + 1/12*y**4 + 2*y**2 - y + s. Solve c(a) = 0 for a.
-2
Find x such that 3/2*x - 3/8*x**3 + 0*x**2 + 0 = 0.
-2, 0, 2
Let n(i) be the second derivative of -i**9/3024 + i**8/1344 + i**7/252 - i**4/3 + 4*i**2 - 34*i. Let g(p) be the third derivative of n(p). Factor g(k).
-5*k**2*(k - 2)*(k + 1)
Let d(p) = 2*p - 18. Let a be d(10). Determine n so that 6*n**2 - 6*n**2 + 2*n**2 - a*n**4 = 0.
-1, 0, 1
Let m(b) be the third derivative of b**6/24 + b**5/4 - 5*b**4/24 - 5*b**3/2 - 133*b**2. Let m(u) = 0. Calculate u.
-3, -1, 1
Let g be (-15)/((-225)/(-96)) - (-18 + 11). Find f, given that 108/5 - g*f**3 + 39/5*f**2 - 144/5*f = 0.
1, 6
Let a(m) be the first derivative of 1/7*m**6 + 2/35*m**5 + 0*m**3 + 0*m - 2/7*m**4 + 0*m**2 - 26. Factor a(i).
2*i**3*(i - 1)*(3*i + 4)/7
Let t = -13178 - -13182. Solve 105/2*u**3 + 6*u**2 - 9/2*u - 18*u**t + 0 = 0.
-1/3, 0, 1/4, 3
Suppose -22 = 3*d + 11. Let n(p) = 361*p - 2 - 350*p + 2 + 25*p**2. Let u(v) = 5*v**2 + 2*v. Let z(i) = d*u(i) + 2*n(i). Factor z(o).
-5*o**2
Let j = 263 - 262. Let p be j/(-1 + 114/24). Find f, given that -2/15*f + p*f**2 + 0 - 2/15*f**3 = 0.
0, 1
Let y be (-10)/8*4/(-10). Let 0 - 3*t**2 - y*t**3 - 9/2*t = 0. What is t?
-3, 0
Let l(m) be the first derivative of -21 - 2/75*m**3 + 6/25*m - 2/25*m**2. Let l(t) = 0. What is t?
-3, 1
Factor -3/2*w - 1/2*w**2 - 1.
-(w + 1)*(w + 2)/2
Let r = -323 + 328. Let v(u) be the third derivative of 0 - 4/15*u**r - 1/30*u**6 - 2*u**2 - 4/3*u**3 + 0*u - 5/6*u**4. What is l in v(l) = 0?
-2, -1
Let m = -2 - -14. Factor -87*w**3 + 0 + 32*w**2 - 4*w**5 + 111*w**3 + 0 + m*w.
-4*w*(w - 3)*(w + 1)**3
Factor 118*d + 1010 + 63*d + 11*d + 2062 + 3*d**2.
3*(d + 32)**2
Let t(v) = v + 1. Let d(g) = -6*g**2 - 571*g - 185. Let j(n) = d(n) - 7*t(n). What is q in j(q) = 0?
-96, -1/3
Let z(k) = 5*k**3 + k + 2. Let b(y) = 32*y**3 + 38*y**3 - 69*y**3 + y. Let c(a) = -12*b(a) + 3*z(a). Factor c(m).
3*(m - 1)**2*(m + 2)
Let p(i) = 10*i**2 - 272*i + 56. Let d be p(27). Factor 0 - 1/4*r**d + 3/4*r.
-r*(r - 3)/4
Suppose -15*k**2 + 18*k**3 + 16*k - k**4 - 45*k**2 - 21 + 2*k**4 + 46*k = 0. What is k?
-21, 1
Let z be 10*(-4 + 9/2). Suppose 6 = z*o - 4. Factor -2*c**o + 4*c + 0*c**5 - 3*c + 2*c**4 - c**5.
-c*(c - 1)**3*(c + 1)
Suppose -6 = -3*n + 9. Factor -z**5 + 6*z**4 - 3*z**3 - 3*z**n - 2*z**5 + 3*z**5.
-3*z**3*(z - 1)**2
Let q be (17 - 2)*((-14)/6 - 1). Let t be (-5)/(q/(-16))*(-20)/68. Factor -2/17*f**2 - t + 8/17*f.
-2*(f - 2)**2/17
Let z(j) be the second derivative of -1/12*j**3 + 0*j**2 + 0 + 12*j - 1/48*j**4. Suppose z(b) = 0. Calculate b.
-2, 0
Let l(s) = -2*s**2 + 61*s - 358. Let a be l(8). Find v such that -1/7*v + 3/7*v**a + 0 - 2/7*v**3 = 0.
0, 1/2, 1
Let x be ((-2)/24 - (-7925)/(-2100)) + 4. Factor x*u**3 + 1/7*u + 0 - 2/7*u**2.
u*(u - 1)**2/7
Let p(b) be the third derivative of b**6/180 + b**5/18 + 2*b**4/9 + 4*b**3/9 + b**2 + 16. Factor p(c).
2*(c + 1)*(c + 2)**2/3
Let v(h) be the third derivative of h**7/315 - h**6/120 - 8*h**5/45 - 5*h**4/24 - 6*h**2 + 49*h. Suppose v(s) = 0. Calculate s.
-3, -1/2, 0, 5
Factor 8*t**2 - 18*t**2 + 260 + 140 + 40*t + 11*t**2.
(t + 20)**2
Let r = -59694 - -1790