e the second derivative of 0 - 1/3*h**3 + h**2 + 5*h + 1/10*h**5 - y*h**4. Suppose z(t) = 0. What is t?
-1, 1
Factor -2*u**3 + 0 + 1/3*u**4 + 3*u**2 - 4/3*u.
u*(u - 4)*(u - 1)**2/3
Let m(j) = -18*j**2 - 3*j + 6. Let k(p) = -146 - p**2 + 73 - p**2 - p + 74. Let y(x) = -14*k(x) + 2*m(x). Factor y(i).
-2*(2*i - 1)**2
Suppose 50 = 7*s - 2*s. Find t such that -120*t**3 - 5 - s*t - 20*t - 11*t - 45*t**4 - 110*t**2 + t = 0.
-1, -1/3
Let x(b) be the third derivative of -b**5/12 - 245*b**4/4 - 36015*b**3/2 - 232*b**2 + b. Find i such that x(i) = 0.
-147
Solve 14/5*f**2 + 8/5*f - 8/5 - 4*f**3 + 6/5*f**4 = 0.
-2/3, 1, 2
Let d = -7 - -10. Let b be 122/12 + -4 + -6. Suppose 1/3*j**d + 0*j**2 + 1/6 - 1/3*j - b*j**4 = 0. What is j?
-1, 1
Let t(n) be the third derivative of n**5/300 + 3*n**4/40 + 198*n**2 - 1. Let t(q) = 0. Calculate q.
-9, 0
Find c such that -32*c**4 + 48 + 210*c**3 - 237*c - 340*c**4 + 273*c**2 - 16*c**5 - 8*c**5 = 0.
-16, -1, 1/2
Let z(l) = 15*l**2 + 13*l - 9. Let j(f) = -7*f**2 - 6*f + 4. Let d(n) = -7*j(n) - 3*z(n). Let y(p) = -3*p**2 - 2*p + 1. Let a(h) = 5*d(h) + 7*y(h). Factor a(u).
-(u - 2)*(u + 1)
Let f(j) = j + 11. Let u be f(-9). Suppose 0*c + u*z = c - 5, -2*c + 2*z + 8 = 0. Factor -5 - 2*a**4 + 2*a**c + 3*a**4 + 4*a**4 - 10*a + 8*a**3.
5*(a - 1)*(a + 1)**3
Let a(h) be the first derivative of -h**4/34 - 14*h**3/51 - 15*h**2/17 - 18*h/17 + 433. Let a(k) = 0. What is k?
-3, -1
Factor -32/15 - 4/5*k + 2/15*k**2.
2*(k - 8)*(k + 2)/15
Let g(p) be the second derivative of -p**4/90 - 7*p**3/45 - 4*p**2/5 + 2*p + 29. Factor g(i).
-2*(i + 3)*(i + 4)/15
Let c(n) be the first derivative of 0*n**3 + 1/30*n**5 + 0*n + 4 + 1/2*n**2 + 1/12*n**4. Let w(a) be the second derivative of c(a). Factor w(o).
2*o*(o + 1)
Let j(d) be the second derivative of -d**6/2 - 2*d**5 + 85*d**4/12 + 5*d**3/3 - 20*d**2 - 2*d - 11. Suppose j(g) = 0. Calculate g.
-4, -2/3, 1
Let x = 101/738 + 7/82. Find n such that -4/9*n**3 + 5/9*n + x*n**2 - 4/9*n**4 + 2/9 - 1/9*n**5 = 0.
-2, -1, 1
Let q(j) be the first derivative of -j**4/6 + 2*j**3/9 + 4*j**2/3 - 8*j/3 + 80. What is d in q(d) = 0?
-2, 1, 2
Let r(h) = h**2 + 5*h + 6. Let u be r(-4). Find d, given that -2*d**u + 4*d**2 - 4*d**2 + 5*d**2 = 0.
0
Let z(o) = -8*o**2 + 940*o - 53824. Let r(p) = -p**2 + 3*p. Let b(v) = -4*r(v) + z(v). Let b(a) = 0. What is a?
116
Let h(o) = -19*o**2 - 58*o - 3. Let i be h(-3). Factor -4*q**2 + 2/3*q**3 + i + 0*q.
2*q**2*(q - 6)/3
Let -11760*g**2 - 1 - 502*g + 150*g + 2685*g**2 - 2 + 22*g = 0. Calculate g.
-1/55
Let y(o) be the second derivative of 0 + 3/2*o**2 + 1/3*o**3 + 1/36*o**4 - 10*o. Factor y(s).
(s + 3)**2/3
Let u(d) = 2*d**2 - d - 1. Let x(r) = -2*r**4 + 16*r**3 - 54*r**2 + 42*r + 6. Let v(c) = -6*u(c) - x(c). Suppose v(h) = 0. Calculate h.
0, 2, 3
Let n(q) = 7*q**3 - 5*q**2 - 31*q + 8. Let f = 16 + -14. Let o(j) = -7*j**3 + 4*j**2 + 30*j - 8. Let p(c) = f*n(c) + 3*o(c). Factor p(h).
-(h - 2)*(h + 2)*(7*h - 2)
Let n(g) be the first derivative of -3*g**4 + 2/3*g**6 + 0*g**2 + 0*g**5 - 8/3*g**3 + 5 + 0*g. Find c, given that n(c) = 0.
-1, 0, 2
Let n be (-6)/42*(-350)/20*16/50. Factor 0*d - n*d**2 + 4/5.
-4*(d - 1)*(d + 1)/5
Let y(s) = 7*s**4 + 15*s**3 - 45*s**2 + 27*s - 2. Let o(w) = -15*w**4 - 30*w**3 + 90*w**2 - 55*w + 5. Let b(f) = -2*o(f) - 5*y(f). Factor b(q).
-5*q*(q - 1)**2*(q + 5)
Let c(f) = -f - 2. Let a be (-9)/2 - 1/(-2). Let j be c(a). Factor j*g - 2*g + 9*g**5 - g**3 - 8*g**5.
g**3*(g - 1)*(g + 1)
Let y(h) = -h**2. Let w(s) = -s**2 - 5*s. Let t be 1/(-2 - 0 - -1). Let g(u) = t*w(u) + 6*y(u). Factor g(i).
-5*i*(i - 1)
Let q(t) be the first derivative of 1/32*t**4 + 7/3*t**3 + 1/120*t**5 + 0*t**2 + 0*t + 1/1440*t**6 + 7. Let a(b) be the third derivative of q(b). Factor a(v).
(v + 1)*(v + 3)/4
Let r(c) be the second derivative of -11/6*c**4 - 5/42*c**7 - 11*c + c**2 + 4/5*c**5 + 0 + 5/6*c**3 + 2/15*c**6. Factor r(v).
-(v - 1)**3*(v + 2)*(5*v + 1)
Suppose -4*t + t - 3 = -2*m, -2*t = 2. Factor -2/3*l**2 - 2/3*l**3 + 0*l + m.
-2*l**2*(l + 1)/3
Let c = -8/61 - -3421/25620. Let s(x) be the third derivative of 0*x**6 - c*x**7 + 0*x + 0*x**4 + 12*x**2 + 0 + 0*x**3 + 1/120*x**5. Factor s(y).
-y**2*(y - 1)*(y + 1)/2
Let k(p) = p**3 - p**2 + 1. Let y(v) = 5*v**3 - 12*v**2 + 4*v + 10. Let c(r) = 14*k(r) - 2*y(r). Factor c(s).
2*(s - 1)*(s + 3)*(2*s + 1)
Let z(h) be the first derivative of 4*h**3/21 - 16*h**2/7 + 60*h/7 - 236. Factor z(b).
4*(b - 5)*(b - 3)/7
Let q(p) be the first derivative of p**4/22 - 8*p**3/11 - 27*p**2/11 - 28*p/11 + 156. Factor q(j).
2*(j - 14)*(j + 1)**2/11
Let p = 747/1534 + 10/767. Let 2*j - p*j**2 + 5/2 = 0. What is j?
-1, 5
Suppose -3*q + 216 = q. Determine n, given that 54*n - 5*n**4 - q*n + 10*n**2 + 5*n**3 = 0.
-1, 0, 2
Let z(v) = -1445*v**4 - 170*v**3 - 5*v**2 - 3*v + 3. Let q(n) = 1445*n**4 + 170*n**3 + 5*n**2 + 2*n - 2. Let t(h) = -3*q(h) - 2*z(h). Factor t(d).
-5*d**2*(17*d + 1)**2
Let 2/3*m**2 - 58/3*m - 20 = 0. What is m?
-1, 30
Let i(n) = 21*n**4 + 18*n**3 - 138*n**2 + 60*n. Let c(x) = -83*x**4 - 73*x**3 + 551*x**2 - 238*x. Let p(v) = -6*c(v) - 23*i(v). Factor p(t).
3*t*(t - 2)*(t + 4)*(5*t - 2)
Let c(m) be the third derivative of -23/420*m**5 - 1/120*m**6 + 0*m - 2/21*m**3 - 5/42*m**4 - 10*m**2 + 0. What is l in c(l) = 0?
-2, -1, -2/7
Let p(i) be the third derivative of i**5/12 + 25*i**4/24 - 16*i**2 + 9*i. Factor p(f).
5*f*(f + 5)
Suppose -3*u - 20 = -g + 2*u, 5*g + 5*u + 20 = 0. Factor 4*z**2 - 140*z**3 + 92*z**3 + 4*z + g*z.
-4*z*(3*z - 1)*(4*z + 1)
Suppose 4*v - 28 = 4*o, -4*v - 12 = -5*v + 2*o. Let d(t) be the second derivative of 6*t + 0*t**v + 0 + 0*t**3 + 1/18*t**4. Factor d(r).
2*r**2/3
Suppose 22*o + 15 = -7. Let w be (-26)/9 + (-5 + 2)/o. Factor 2/9*h - 1/9 - w*h**2.
-(h - 1)**2/9
Let i(w) be the second derivative of -65/4*w**4 - 10*w**2 - 16*w + 0 - 7/2*w**5 - 20*w**3. Suppose i(d) = 0. What is d?
-2, -1/2, -2/7
Let x(p) be the first derivative of -p**5/20 - 7*p**4/8 - 15*p**3/4 - 13*p**2/2 - 5*p - 150. Factor x(r).
-(r + 1)**2*(r + 2)*(r + 10)/4
Let w(z) be the third derivative of -z**6/30 + 2*z**5/5 - 11*z**4/6 + 4*z**3 - 22*z**2. Let w(k) = 0. What is k?
1, 2, 3
Let t be -3*10/6*6/(-15). Factor -7*u**t + 11*u - 2 + 3 - 3 - 2*u**4 - 11*u**3 + 11*u**4.
(u - 1)**2*(u + 1)*(9*u - 2)
Let v(i) be the first derivative of -5/3*i**3 - 45*i + 4 + 15*i**2. Factor v(p).
-5*(p - 3)**2
Factor 3*g**4 - 113 + 192*g + 12*g**4 - 7*g**4 - 12*g**4 - 192*g**3 - 184*g**2 + 301.
-4*(g - 1)*(g + 1)**2*(g + 47)
Let b(d) be the first derivative of 16*d**3/3 + d**2 - 14*d + 2. Suppose b(m) = 0. Calculate m.
-1, 7/8
Let w(m) be the third derivative of m**7/70 - 11*m**6/80 + 11*m**5/40 + 15*m**4/16 - 9*m**3/4 - 22*m**2 - m. Solve w(r) = 0.
-1, 1/2, 3
Let 15488/9*h**3 + 1760*h**2 + 2/9 + 118/3*h = 0. What is h?
-1, -1/88
Suppose 7*i = i. Let y(j) be the third derivative of i + 0*j - 4*j**2 + 1/330*j**5 + 0*j**3 + 1/66*j**4. Let y(g) = 0. What is g?
-2, 0
Let o(a) be the first derivative of -2*a**6/3 - 8*a**5 - 22*a**4 + 112*a**3/3 + 110*a**2 - 200*a - 243. Suppose o(i) = 0. Calculate i.
-5, -2, 1
Let g(v) be the first derivative of -5*v**3/3 + 15*v**2/2 - 10*v + 113. Factor g(l).
-5*(l - 2)*(l - 1)
Factor 83*s**2 + 20*s + 77*s**2 - 128*s**3 - 124*s**3 + 327*s**3.
5*s*(s + 2)*(15*s + 2)
Solve 13*k - 5*k + 13 + 56*k**2 - 4 - 23*k**2 - 34*k**2 = 0 for k.
-1, 9
Let z(v) be the second derivative of -1/80*v**5 + 1/48*v**4 + 0*v**3 + 0 + 0*v**2 - 5*v. Let z(a) = 0. What is a?
0, 1
Let q = 41 + -21. Factor -4*w**2 - 3*w**2 + 16 + q*w + 6*w**2 + 5*w**2.
4*(w + 1)*(w + 4)
Let -3/8*y**5 + 0 - 3/2*y**2 - 9/4*y**4 - 27/8*y**3 + 0*y = 0. Calculate y.
-4, -1, 0
Let j(b) be the second derivative of -b**4/30 - 13*b**3/15 + 14*b**2/5 + 78*b + 2. Factor j(i).
-2*(i - 1)*(i + 14)/5
Let m(i) be the first derivative of 5*i**4/4 - 25*i**3/3 + 10*i**2 + 209. Let m(l) = 0. Calculate l.
0, 1, 4
What is o in -9*o**2 + 69 + 16*o**2 - 11*o**2 + 16 + 111 - 192*o = 0?
-49, 1
Let y = 3579 + -3577. Factor -1/3 - 7/3*t**3 - 13/6*t - 25/6*t**y.
-(t + 1)*(2*t + 1)*(7*t + 2)/6
Let v(x) = 13*x**2 + 43*x - 56. Let y(n) = n**2 - n. Let h(p) = v(p) - 3*y(p). Solve h(b) = 0 for b.
-28/5, 1
Let o(c) be the second derivative of 0*c**2 + 0*c**3 + 0 + 6*c + 1/20*c**5 + 1/84*c**7 - 1/20*c**6 + 0*c**4.