/11*q.
2*(q - 1)*(q + 1)**2/11
Let u(p) be the second derivative of p**7/70 + 16*p**6/45 + 47*p**5/30 + 3*p**4 + 7*p**3/6 - 16*p. Let k(s) be the second derivative of u(s). Factor k(j).
4*(j + 1)*(j + 9)*(3*j + 2)
Let b(g) be the first derivative of -g**8/2016 - g**7/630 + g**5/180 + g**4/144 - 3*g**2/2 + 3. Let f(d) be the second derivative of b(d). Solve f(a) = 0.
-1, 0, 1
Let i = -1513 - -1516. Suppose 0 + 1/2*q**i + 0*q - 1/2*q**2 = 0. What is q?
0, 1
Let d(k) = k**2 - 98. Let o be d(-10). Factor -162/11*s - 2/11*s**4 - 108/11 - o*s**3 - 90/11*s**2.
-2*(s + 2)*(s + 3)**3/11
Let r(i) be the first derivative of 5/32*i**4 + 0*i + 1/40*i**5 + 1/4*i**2 + 1/3*i**3 + 1. Let r(w) = 0. What is w?
-2, -1, 0
Let j(l) be the first derivative of l**4/18 - 2*l**3/27 - 7. Factor j(r).
2*r**2*(r - 1)/9
Let k be (-5 - -3) + 90/36. Let y be (-10)/(-4) - 4/2. Let -k*f + 0*f**2 + 0 + y*f**3 = 0. Calculate f.
-1, 0, 1
Let b = -5719 - -5722. Let l = -2/9 + 89/36. Factor -9/4*k**2 + 3/4*k**b - 3/4 + l*k.
3*(k - 1)**3/4
Solve -79*o**2 - o**3 - 4*o**3 - 20*o**3 + 9*o**3 + o**5 + 15*o**2 + 4*o**4 = 0 for o.
-4, 0, 4
Let l be (2/4)/((2/(-4))/(-1)). Let v be 5/(-15)*-1*l. Factor 0*m + 0 + v*m**3 + 2/3*m**2.
m**2*(m + 2)/3
Let 3*v**3 - 24 - 2*v - 60*v - 20*v**2 - 36 - 5*v**3 = 0. Calculate v.
-5, -3, -2
Find a such that 5/3*a**4 + 1/3*a**5 + 0 + a**2 + 0*a + 7/3*a**3 = 0.
-3, -1, 0
Let p(y) be the second derivative of -5*y**4/12 + y**2 - 50*y. Let l(m) = m**2. Let a(i) = -6*l(i) - 2*p(i). Suppose a(n) = 0. What is n?
-1, 1
Let c(a) be the third derivative of -a**8/448 - 3*a**7/140 - 3*a**6/40 - a**5/8 - 3*a**4/32 - 77*a**2 - 2*a. Factor c(u).
-3*u*(u + 1)**3*(u + 3)/4
Let n be 468/182 + (1 - 3). Let y = 17 + -113/7. Find q such that n + 2/7*q**2 - y*q = 0.
1, 2
Let v(z) = -z**5 - z**4 - z**3 - z**2. Let p(i) = -i**5 - 6*i**4 + 4*i**3 + 14*i**2 + 5*i. Let h(q) = -p(q) - 4*v(q). Factor h(u).
5*u*(u - 1)*(u + 1)**3
Let f = 613 + -1837/3. Let u(o) be the third derivative of -f*o**3 - 1/6*o**4 + 0 - 1/60*o**5 - o**2 + 0*o. Factor u(p).
-(p + 2)**2
Let c be 5*(4/10 - -1). Suppose 6*y - c*y = -3. Determine h, given that h - 2*h**y + 1 + 0*h**2 - h**2 + h**3 = 0.
-1, 1
Suppose -7*f - 30 = -2*f. Let n be f/(-54)*(34/4 - 1). Factor 0 - 2/3*i**3 - 1/6*i**4 - n*i**2 - 1/3*i.
-i*(i + 1)**2*(i + 2)/6
Let h(m) = m + 1. Let x be h(-1). Suppose 0 = j - 2 - x. Find d such that j*d - 7*d**2 + 5*d**2 + 4*d**2 = 0.
-1, 0
Let h = 81 - 67. Let l(z) = -z**3 + 13*z**2 + 13*z + 16. Let d be l(h). Solve 44/3*i + 52/3*i**d + 8/3 + 16/3*i**3 = 0.
-2, -1, -1/4
Let c be 167 + (-5)/(10/4). What is v in 46*v**3 - 44*v**2 + c - 50*v**3 - 96*v - 21 = 0?
-6, 1
Let a(q) = -36*q - 214. Let j be a(-6). Suppose 0*x + 0 - 8/5*x**j + 12/5*x**3 - 4/5*x**4 = 0. Calculate x.
0, 1, 2
Factor -16/5 - 2/15*v**2 + 10/3*v.
-2*(v - 24)*(v - 1)/15
Let b(z) = z**2 - 1. Suppose 5*c + 15 = -5*y, 2*y = -7 - 3. Let w(g) = -4*g**2 - g + 3. Let u(r) = c*w(r) + 7*b(r). Factor u(l).
-(l + 1)**2
Let c(v) be the second derivative of v**7/840 + v**6/240 - 2*v**4/3 + 6*v. Let t(l) be the third derivative of c(l). Solve t(y) = 0.
-1, 0
Let q(h) be the second derivative of h**8/26880 - h**7/1120 + 2*h**4 - 13*h. Let f(r) be the third derivative of q(r). Suppose f(n) = 0. What is n?
0, 9
Let x(g) be the first derivative of -5*g**8/336 + g**7/14 - g**6/12 + 2*g**2 + 11. Let m(a) be the second derivative of x(a). Determine r so that m(r) = 0.
0, 1, 2
Let k(x) = 175*x**3 - 380*x**2 + 68*x + 14. Let n(s) = -350*s**3 + 758*s**2 - 136*s - 30. Let d(i) = 7*k(i) + 3*n(i). Let d(u) = 0. Calculate u.
-2/25, 2/7, 2
Let s(y) be the third derivative of y**8/16800 + y**7/6300 + y**4/4 + 13*y**2. Let h(k) be the second derivative of s(k). Find t such that h(t) = 0.
-1, 0
Let y(k) = -k**4 - k + 1. Let n(d) = 2 + 9*d**2 - 18*d**4 - 9*d**3 - 8*d - 4*d**4 + 3*d + 23*d**4. Let s(x) = -n(x) + 2*y(x). Factor s(v).
-3*v*(v - 1)**3
Determine c, given that 250*c - 16*c + 36*c**2 + 4563 - 33*c**2 = 0.
-39
Let q be ((-325)/(-25) + -7)/(33/2). Factor 0 + 18/11*d**3 + 0*d + q*d**2 + 14/11*d**4.
2*d**2*(d + 1)*(7*d + 2)/11
Let r be 34/255 + 28/15. Suppose 4 = -0*w + r*w. Let -9/2*d**w - 5/2*d**3 - 7/2*d - 1/2*d**4 - 1 = 0. What is d?
-2, -1
Factor -44/3*w**2 + 16/3 - 34/3*w + 2*w**3.
2*(w - 8)*(w + 1)*(3*w - 1)/3
Suppose 3*c = -3*s - 0*c - 9, -1 = 3*s - 5*c. Let d be ((20/25)/(7/(-5)))/s. Factor 0 + 2/7*p + d*p**2.
2*p*(p + 1)/7
Let k be ((-164)/7 - -29) + (1 - (2 + -1)). Solve 27/7*t**3 - 6/7 + k*t - 60/7*t**2 = 0.
2/9, 1
Let j(s) be the second derivative of s**4/120 + 4*s**3/15 + 16*s**2/5 + 133*s. What is b in j(b) = 0?
-8
Suppose 6*w = 54 - 57 + 27. Suppose 0 - 2/9*p**2 + 4/3*p - 2/3*p**w - 20/9*p**3 = 0. Calculate p.
-3, -1, 0, 2/3
Suppose 2*r - 3*m + 5*m - 4 = 0, r - 5 = 2*m. Factor -1/4*u**4 - 1/4*u**2 + 0*u + 0 - 1/2*u**r.
-u**2*(u + 1)**2/4
Let n(f) be the first derivative of 208*f**3/9 - 23*f**2/3 - 4*f - 374. Determine x, given that n(x) = 0.
-2/13, 3/8
Let x(j) be the second derivative of 5*j**7/14 + 9*j**6/5 + 9*j**5/5 - 2*j**4 + 254*j. Suppose x(c) = 0. What is c?
-2, 0, 2/5
Let w(t) = -3*t**3 - 3*t**2 - 7*t - 2. Let p be w(-2). Let l(b) be the second derivative of 3/20*b**5 + 96*b**2 - 7*b + 0 + 3*b**4 + p*b**3. Factor l(x).
3*(x + 4)**3
Let r(s) be the third derivative of -s**9/75600 - s**8/5600 - s**7/1400 - s**6/900 + 5*s**4/6 + 21*s**2. Let q(v) be the second derivative of r(v). Factor q(a).
-a*(a + 1)**2*(a + 4)/5
Let f be (468/(-18) - -21) + 11 + -4. Factor 2/3*i**f + 2/9 + 8/9*i.
2*(i + 1)*(3*i + 1)/9
Suppose w - 3*s - 19 = 0, 2*w - 61 = -2*w - 3*s. Let -4*c - w*c + 21 + 5*c**2 - 1 = 0. Calculate c.
2
Let u(n) = n**2 - 25*n - 48. Let x(b) = b**2 - b - 4. Let a(q) = -u(q) + 3*x(q). Determine z so that a(z) = 0.
-9, -2
Let z(y) = 2*y**3 - 33*y**2 - 16*y - 33. Let t be z(17). Let g be 3/6*(-8)/t. Find o, given that -1/4*o**2 + 1/4*o - 1/4*o**3 + g = 0.
-1, 1
Solve -93/7*z**2 + 24/7 + 150/7*z - 81/7*z**3 = 0 for z.
-2, -4/27, 1
Suppose 5*l - 3*l + 2*h - 66 = 0, -120 = -3*l + 4*h. Let g(k) = -k**3 - 6*k**2 + 2. Let f be g(-6). Find y such that -4*y - l - 4*y**2 - f*y - 18*y = 0.
-3
Determine l, given that 3*l - 2*l**3 + 14*l - 28*l**2 - 9*l + 34*l**2 = 0.
-1, 0, 4
Suppose 3 - 2*g**4 + 24*g**3 - 42 - 24*g - 20*g**2 + 61 = 0. What is g?
-1, 1, 11
Let 15*s**2 + 434 - 8 - 242 + 5*s**2 - 468*s = 0. Calculate s.
2/5, 23
Let h(l) = 5*l**4 + 190*l**3 + 155*l**2 - 15. Let j(y) = -3*y**3 - y**2 + 1. Let t(f) = -h(f) - 15*j(f). Factor t(w).
-5*w**2*(w + 1)*(w + 28)
Let a(z) be the third derivative of -1/15*z**3 + 1/75*z**6 - 1/25*z**5 + 0*z - 25*z**2 + 1/15*z**4 + 0 - 1/525*z**7. Factor a(q).
-2*(q - 1)**4/5
Let d be (2*(-9)/60)/((-192)/160). Let v be (-1)/(-4) + (2 - 2). Let -v*y**4 + 0*y**2 + 0*y**3 + 0 + d*y**5 + 0*y = 0. Calculate y.
0, 1
Suppose 4*p + 84 = 46*p. Factor -3/7*r**3 + 0 + 3/7*r - 3/7*r**p + 3/7*r**4.
3*r*(r - 1)**2*(r + 1)/7
Let v(u) be the third derivative of -u**7/315 + u**6/90 + 12*u**2. Factor v(r).
-2*r**3*(r - 2)/3
Let p(l) be the second derivative of 0*l**2 + 1/3*l**3 - 7/12*l**4 - 1/10*l**5 + 7/30*l**6 + 0 + 19*l. Factor p(x).
x*(x - 1)*(x + 1)*(7*x - 2)
Suppose 0 = -r + 6*r - 25. Suppose 0 = -c + r*c - 2*c. Find q, given that 1/2*q**2 - 1/2*q**3 + c + q = 0.
-1, 0, 2
Suppose -2*a + 7 = 3*l, a - l + 1 = 2. Suppose 2*x = g - 22, 76 - 28 = a*g - 3*x. Let 16*n - g*n**2 + 50/3*n**3 - 8/3 = 0. What is n?
2/5, 1
Let f(p) be the first derivative of -5*p**2 + 25/12*p**3 - 5/16*p**4 + 5*p + 7. Suppose f(y) = 0. What is y?
1, 2
Let d be (36/144)/(2/6). Let d + 3/2*n + 3/4*n**2 = 0. What is n?
-1
Let g(n) be the third derivative of -n**7/525 + n**6/300 + n**5/150 - n**4/60 + 34*n**2 - 3. Let g(y) = 0. Calculate y.
-1, 0, 1
Let d(n) be the third derivative of n**5/3 - 59*n**4/24 - n**3/2 - 6*n**2 + 3. Let d(r) = 0. Calculate r.
-1/20, 3
Let b = -19139 + 19139. Suppose 4/5*l**3 + b - 6/5*l**2 - 4/5*l = 0. What is l?
-1/2, 0, 2
Suppose 8 = -2*p, 4*s - 2*p + 5 = -7. Let v be -12*(10/8)/s. Factor -4*q**4 - 3*q**3 + 12*q + 12*q**2 - 2*q**4 + v*q**4.
-3*q*(q - 2)*(q + 1)*(q + 2)
Let c(b) be the second derivative of 1/24*b**4 + 0 - 1/3*b**3 + b**2 - 18*b. Factor c(x).
(x - 2)**2/2
Let q(f) be the third derivative of -f**8/90720 + 3*f**5/20 - 11*f*