= 0. What is y?
-1, 0, 1
Let b(m) be the third derivative of -1/84*m**4 - 10*m**2 + 1/105*m**5 + 0*m - 1/1470*m**7 + 0 + 1/420*m**6 - 1/14*m**3. Find a, given that b(a) = 0.
-1, 1, 3
Factor 0 + 21/2*y**3 + 9/8*y - 57/8*y**2.
3*y*(4*y - 1)*(7*y - 3)/8
Let k(p) be the first derivative of -p**6/6 - p**5/5 + p**4/4 + p**3/3 + 848. Factor k(z).
-z**2*(z - 1)*(z + 1)**2
Let n = -1762 + 1769. Let c(a) be the first derivative of 3*a**3 - 3/2*a**2 - 6*a + 3/4*a**4 - 3/5*a**5 - n. What is t in c(t) = 0?
-1, 1, 2
Let b(m) = m + 12. Let s = -30 + 21. Let t be b(s). Solve 0*d**2 - 2*d - 2*d**3 + 3 - 3*d**2 + 5*d - d**t = 0.
-1, 1
Let f(k) be the second derivative of -2*k**6/3 - 42*k**5/5 + 29*k**4/3 + 12*k**3 + 3*k + 1. Find c such that f(c) = 0.
-9, -2/5, 0, 1
Let p(m) be the first derivative of 13*m**4 + 12 + 28/5*m**5 + 16*m**3 + m**6 + 11*m**2 + 4*m. Factor p(z).
2*(z + 1)**4*(3*z + 2)
Let h = -29 - -109. Factor -7*s**2 + 17*s**2 + 29*s**3 + 35*s**5 + 31*s**3 + h*s**4 - 5*s**3.
5*s**2*(s + 1)**2*(7*s + 2)
Let t(o) = 14*o**4 + 118*o**3 + 90*o**2 - 162*o - 148. Let u(r) = 2*r**4 + 17*r**3 + 13*r**2 - 23*r - 21. Let b(a) = -6*t(a) + 44*u(a). Factor b(m).
4*(m - 1)*(m + 1)**2*(m + 9)
Find h such that 1936/3 - 28*h**2 - 264*h - 2/3*h**3 = 0.
-22, 2
What is j in -40 + 2*j**3 + 0*j + 16*j + 18*j**2 - 29*j - 11*j = 0?
-10, -1, 2
Let l(v) = 5*v**2 - 73*v + 3. Let z(f) = -10*f**2 + 145*f - 5. Let h(o) = 5*l(o) + 3*z(o). Determine n, given that h(n) = 0.
0, 14
Let 8*k**2 + 2*k**2 + 484 - 6*k**2 - 88*k = 0. What is k?
11
Let z(o) be the third derivative of o**7/5880 - o**6/2520 - o**5/140 - o**3/2 + 22*o**2. Let g(s) be the first derivative of z(s). Determine w so that g(w) = 0.
-2, 0, 3
Let x = -3/394 + 2385/2758. Let b = x - 4/21. Determine t, given that -2/3*t**3 + 2/3 + 2/3*t - b*t**2 = 0.
-1, 1
Let k(a) = -4*a + 408. Let f be k(102). Suppose 2/7*s**2 + f - 16/7*s = 0. Calculate s.
0, 8
Let v(d) be the first derivative of 4*d**3 - 8*d**2 + 4*d - 188. Factor v(c).
4*(c - 1)*(3*c - 1)
Let u(w) = -w**3 - w**2 - 2*w + 11. Let n be u(0). Let j(a) = a - 9. Let b be j(n). Factor -3 + 0*y - b*y**2 + 5*y**2 - 2*y**2 + 2*y.
(y - 1)*(y + 3)
Let u(r) be the first derivative of -11*r**3/18 - 7*r**2/2 + 4*r/3 + 67. Factor u(k).
-(k + 4)*(11*k - 2)/6
Let u = 754 - 750. Let c(q) be the third derivative of -2*q**2 + 0*q + 1/3*q**u - 13/90*q**5 - 1/315*q**7 - 4/9*q**3 + 1/30*q**6 + 0. Factor c(z).
-2*(z - 2)**2*(z - 1)**2/3
Suppose 3*v = 3*i - 12, 34*i = 5*v + 31*i + 12. Let b(a) be the second derivative of -a + 0*a**2 + 1/120*a**5 + 0 - 1/72*a**4 + v*a**3. Factor b(q).
q**2*(q - 1)/6
Let a(l) be the second derivative of -l + 14/27*l**3 - 2/45*l**5 + 0 + 1/3*l**2 + 7/54*l**4. Solve a(y) = 0 for y.
-1, -1/4, 3
Suppose 4*m - u = 28, -6*u - 24 = -4*m - 4*u. Suppose 9*f = m*f + 3. Factor 1/2*c - 3/4*c**2 + 1/4*c**f + 0.
c*(c - 2)*(c - 1)/4
Factor 1/7*q**2 - 17/7*q - 60/7.
(q - 20)*(q + 3)/7
Let p(m) be the second derivative of -2/15*m**6 - 23/3*m**4 + 0 - 8/5*m**5 - 24*m**2 - 15*m - 56/3*m**3. Suppose p(d) = 0. Calculate d.
-3, -2, -1
Factor -11/2*d + 0 - 1/4*d**2.
-d*(d + 22)/4
Suppose 7 = 5*b + 3*n - 4*n, 0 = -3*b + 3*n - 3. Suppose -24 + 6*g + 3*g**2 - 2*g**2 + 3*g**b - g**2 = 0. Calculate g.
-4, 2
Find q such that -33/7*q**3 + 9/7*q**2 + 6/7*q**4 + 33/7*q - 15/7 = 0.
-1, 1/2, 1, 5
Let g(h) = -38*h + 16. Let t be g(3). Let o be 4 + -1 + t/28 - -1. Factor o*y**2 - 1/2 - 1/2*y + 1/2*y**3.
(y - 1)*(y + 1)**2/2
Suppose -i = 47 - 46. Let s = 1 + i. Factor s - 2/5*m - 1/5*m**3 - 3/5*m**2.
-m*(m + 1)*(m + 2)/5
Let l(w) = 40*w**4 - 35*w**3 - 5*w - 10. Let z(r) = -r**5 - 40*r**4 + 35*r**3 + 6*r + 12. Let q(m) = -6*l(m) - 5*z(m). Factor q(v).
5*v**3*(v - 7)*(v - 1)
Let m = -10982/3 - -3686. Solve -92/3*b**2 + 20/3*b - 16/3*b**4 + 4 + m*b**3 = 0.
-1/4, 1, 3
Let u(h) be the third derivative of h**9/1512 - h**7/420 - h**3/2 - 2*h**2. Let o(k) be the first derivative of u(k). Factor o(i).
2*i**3*(i - 1)*(i + 1)
Let a = 9 - 3. Factor 28*z**2 + 4*z**3 - 10*z**2 + 48*z + a*z**2 + 32.
4*(z + 2)**3
Factor 5*m**3 + 0*m**3 + 367*m**2 - 342*m**2.
5*m**2*(m + 5)
Let g(w) be the second derivative of 0 - 1/5*w**5 + 0*w**2 + 0*w**3 + 1/6*w**4 + 20*w + 1/15*w**6. Suppose g(a) = 0. Calculate a.
0, 1
Let n be 9/(18/20) - 200/35. Factor -n*p**2 + 6/7*p**3 - 24/7 + 48/7*p.
6*(p - 2)**2*(p - 1)/7
Let b(v) be the second derivative of -v**6/225 + 9*v**5/50 + v**4/3 - 56*v**3/45 - 2*v - 3. Find j, given that b(j) = 0.
-2, 0, 1, 28
Factor -24*d**3 - 4*d - 432 + 8*d**2 - 3*d**4 + 19*d**2 - 3*d**2 + 292*d.
-3*(d - 2)**2*(d + 6)**2
Let f = -107 - -107. Let r(u) be the first derivative of 1/9*u**3 - 1/15*u**5 + 0*u - 6 + f*u**2 + 0*u**4. Solve r(o) = 0 for o.
-1, 0, 1
Let c(d) be the first derivative of 1/9*d - 1/36*d**4 + 1/9*d**3 - 13 - 1/6*d**2. Solve c(r) = 0.
1
Let p(v) = v**2 + 23*v - 32. Let j be p(-24). Let f be j*(2/(-16))/(11/22). Factor 0 + 0*k + 1/2*k**4 + 0*k**3 - 1/2*k**f.
k**2*(k - 1)*(k + 1)/2
Let f(a) = -2*a**2 + 31*a - 11. Let c be f(15). Let t(g) be the second derivative of 0*g**2 + 1/72*g**c + 0*g**3 + 0 - 5*g. Factor t(s).
s**2/6
Suppose -s + 17 = 5*g, -2*g + 4*s + 130 = 110. Factor 0*t**2 + 2/5*t**3 - 2/5*t**g + 0*t + 0.
-2*t**3*(t - 1)/5
Let y = -36/115 - -223/345. Factor -y*u**2 - 4/3 - 4/3*u.
-(u + 2)**2/3
Let n(y) be the first derivative of 7/5*y**2 + 24 - 2/5*y**4 + 2/3*y**3 - 4/5*y. Solve n(z) = 0 for z.
-1, 1/4, 2
Factor -5*m**3 - 7*m**4 + 4*m**4 + 13*m**2 + 2*m**4 - 7*m.
-m*(m - 1)**2*(m + 7)
Factor -s + s**2 - 6*s**2 + s - 2*s.
-s*(5*s + 2)
Let c = -21/16 + 65/48. Let i(y) be the second derivative of 0 - c*y**4 - 5*y + 0*y**2 + 0*y**3. Solve i(t) = 0.
0
Factor 19*f - 209*f**3 + 205*f**3 + 4*f**2 + f + 4*f.
-4*f*(f - 3)*(f + 2)
Let v = -3670 - -3672. Determine z so that z**v + 0 - 4/5*z**3 + 1/5*z**4 - 2/5*z = 0.
0, 1, 2
Let z(s) be the second derivative of s**6/6 - 13*s**5/2 + 175*s**4/3 + 980*s**3/3 - 5*s - 7. What is q in z(q) = 0?
-2, 0, 14
Factor -4*n**2 + 4*n**3 - 4*n - 9 + 26 - 13.
4*(n - 1)**2*(n + 1)
Let i(m) be the second derivative of 2*m**7/147 + 4*m**6/105 - 27*m**5/35 - 8*m**4/3 + 160*m**3/21 + 70*m - 2. Let i(x) = 0. What is x?
-4, 0, 1, 5
Let m = -12 - -21. Suppose 5*a**2 + 1 - 5 - 10*a + m = 0. Calculate a.
1
Factor 2*c**3 - 8/5 + 26/5*c**2 + 8/5*c.
2*(c + 1)*(c + 2)*(5*c - 2)/5
Let z = 79 - 77. Find n such that -30 - n**2 - 26*n - 4*n**z - 9*n = 0.
-6, -1
Find z such that -2*z**2 - 2420 - 5*z**2 + 143*z + 2*z**2 + 77*z = 0.
22
Let z(u) be the first derivative of 1 + 0*u**2 + 0*u - 1/32*u**4 - 2*u**3 - 1/240*u**5 + 1/1440*u**6. Let j(r) be the third derivative of z(r). Factor j(g).
(g - 3)*(g + 1)/4
Factor -s - 22*s**3 + 21*s**4 - 19*s**4 + 25*s**3.
s*(s + 1)**2*(2*s - 1)
Let q(v) be the second derivative of v**4/28 + 23*v**3/14 + 33*v**2/7 + 46*v. Determine t, given that q(t) = 0.
-22, -1
Determine k so that -2/13*k**3 - 4*k**2 + 784/13 - 280/13*k = 0.
-14, 2
Let m(l) be the first derivative of 13 - 3/5*l**5 + 0*l + 0*l**4 + 0*l**2 + l**3. Factor m(b).
-3*b**2*(b - 1)*(b + 1)
Suppose -3*z = -8 - 4. Suppose -2*v - 10 = -z*v. Factor -i**4 - v + 1 + 3*i**3 + 6 - 3*i - i**2.
-(i - 2)*(i - 1)**2*(i + 1)
Let d(l) be the third derivative of 0*l**3 - 11/100*l**6 - 1/560*l**8 + 0*l + 4/175*l**7 + 0 - 33*l**2 + 6/25*l**5 - 9/40*l**4. Factor d(p).
-3*p*(p - 3)**2*(p - 1)**2/5
Let r be (220/1386)/(1030/1032 - 1). Let t = r + 247/3. Factor 9/7*p**2 - t*p + 0 - 6/7*p**3.
-3*p*(p - 1)*(2*p - 1)/7
Let q(k) = 6*k**2 + 184*k - 341. Let n(x) = 2*x**2 + 62*x - 114. Let j(r) = 17*n(r) - 6*q(r). Factor j(d).
-2*(d - 2)*(d + 27)
Let a(g) be the third derivative of -121*g**8/336 - 11*g**7/7 - 313*g**6/120 - 2*g**5 - 2*g**4/3 + g**2. Factor a(y).
-y*(y + 1)**2*(11*y + 4)**2
Let -245*x + 769 - 75*x**3 - 388*x - 432 - 400 - 1605*x**2 = 0. Calculate x.
-21, -1/5
Let m(l) be the first derivative of l**5/48 - l**4/32 - l**3/12 + 5*l**2/2 - 7. Let r(h) be the second derivative of m(h). Factor r(s).
(s - 1)*(5*s + 2)/4
Let c = 259 + -97. Let r = 1136/7 - c. Factor -4/7*h + 0 - 10/7*h**2 - r*h**4 - 8/7*h**3.
-2*h*(h + 1)**2*(h + 2)/7
Suppose -164/11*b**2 + 10/11*b**4 - 48/11*b - 106/11*b**3 + 0 = 0. Calculate b.
-1, -2/5, 0, 12
Let v = 1533 + -1528. Let m(u) be the third derivative of 0 + 1/60*u**6