(b) + 2*n(b). Factor o(f).
5*(f - 2)*(f + 1)
Let z = -12 + 16. Factor -10*d**2 + 2*d**z - 2*d**3 - 3*d**3 + 5*d**5 + 8*d**4.
5*d**2*(d - 1)*(d + 1)*(d + 2)
Let g be -4 - (-2 - -150 - 0). Let y = g - -762/5. Factor -y*p**3 + 0 - 2/5*p + 4/5*p**2.
-2*p*(p - 1)**2/5
Let f(i) be the second derivative of i**2 + 1/180*i**6 + 3*i + 0*i**4 + 0*i**3 + 0 + 1/90*i**5. Let z(r) be the first derivative of f(r). Factor z(a).
2*a**2*(a + 1)/3
Suppose 30 = 2*w + 20. Let k(d) = d + 2. Let u be k(2). Factor -8*x**w + 3*x**u + 17*x**4 - 16*x**2 + 32*x + 4*x**5 - 24*x**3.
-4*x*(x - 2)**3*(x + 1)
Let t(l) be the third derivative of l**5/330 + 3*l**4/11 + 35*l**3/33 - 3*l**2 - 12. Solve t(w) = 0.
-35, -1
Let b(n) be the second derivative of -n**7/84 - n**6/40 + 7*n**5/80 + n**4/4 + n**3/6 - 63*n. Find j such that b(j) = 0.
-2, -1, -1/2, 0, 2
Let m = 34304/3 + -11434. Factor -2/9*p**2 + 0*p - 2/3*p**4 + m*p**3 + 0 + 2/9*p**5.
2*p**2*(p - 1)**3/9
Factor 32/5 - 4/5*t**2 + 8/5*t.
-4*(t - 4)*(t + 2)/5
Let v(r) = 2*r**3 - 15*r**2 + 16*r + 14. Let k be v(6). Factor 6/7*p**3 + 2/7*p - 2/7*p**4 - 6/7*p**k + 0.
-2*p*(p - 1)**3/7
Find i such that -36/11 - 14/11*i**2 - 254/11*i = 0.
-18, -1/7
Let n be (11 - 1)*(0 - 5/(-70)). Let a = 29/21 - n. Find z such that -4/3*z**2 + a*z**3 + 2/3*z + 0 = 0.
0, 1
Let z(b) be the second derivative of b**4/42 - 3*b**3/7 + 20*b**2/7 - 4*b + 2. Find d such that z(d) = 0.
4, 5
Let g(w) be the first derivative of -3*w + 0*w**3 + 1/3*w**2 - 1/18*w**4 - 6. Let t(c) be the first derivative of g(c). Let t(f) = 0. What is f?
-1, 1
Let o(d) be the second derivative of d**7/280 - d**6/72 - 11*d**5/120 - d**4/8 + 11*d**3/6 - 27*d. Let q(a) be the second derivative of o(a). Factor q(p).
(p - 3)*(p + 1)*(3*p + 1)
Suppose -5*w - 11 = -26. Factor -w + 3 - 74*k**2 + 2*k + 75*k**2.
k*(k + 2)
Let y be (-8)/32*5/(35445/(-2)). Let l = y - -165372187/70890. Factor -576/5*t**2 + 0 + 3888/5*t**3 - l*t**4 + 32/5*t + 13122/5*t**5.
2*t*(9*t - 2)**4/5
Let k(f) = f**2 + 7*f + 4. Let x be k(-7). Let 2/5*u**2 - 8/5*u**x + 6/5*u**3 + 0 + 0*u = 0. Calculate u.
-1/4, 0, 1
Let d be (-30)/25*-5 + 4. Let z be 4 - 14/d - (2 - 0). Factor 9/5*q**3 - 3*q**2 + 3/5 + z*q.
3*(q - 1)**2*(3*q + 1)/5
Let n(q) be the second derivative of -q**4/14 - 3*q**3/7 - 6*q**2/7 - q - 14. Factor n(k).
-6*(k + 1)*(k + 2)/7
Let h(g) be the second derivative of -g**7/7560 + g**6/1080 + g**4/3 + 14*g. Let c(i) be the third derivative of h(i). Factor c(o).
-o*(o - 2)/3
Suppose 0 = -3*z - 5*g - 21, 2*z + 2*g + 6 = -4. Let y be z + (-32)/(-14) + 2/7. What is n in 0 - y*n**3 + 2/7*n**2 + 0*n + 2/7*n**4 = 0?
0, 1
Determine c, given that -c**4 + 8/3*c**2 - c**3 + 5/2*c - 1/6*c**5 - 3 = 0.
-3, -2, 1
What is b in 32/7*b - 34/7 + 2/7*b**2 = 0?
-17, 1
Suppose 3*s - 3*h - 6 = 0, 0 = 17*s - 12*s - 3*h - 12. Let t(n) be the first derivative of -24*n + 26*n**s + 6 - 21/4*n**4 - 30*n**2. Factor t(l).
-3*(l - 2)**2*(7*l + 2)
Let -249*j - 294*j - 2*j**2 + 115*j - 2*j**2 = 0. Calculate j.
-107, 0
Let u(j) be the third derivative of j**7/1400 + j**6/900 - j**5/200 - j**4/60 + 5*j**3/3 + j**2. Let z(v) be the first derivative of u(v). Factor z(i).
(i - 1)*(i + 1)*(3*i + 2)/5
Let w(g) be the third derivative of g**8/2184 - 2*g**7/1365 + g**6/780 - 154*g**2. Factor w(l).
2*l**3*(l - 1)**2/13
Suppose -8*w = 12 - 28. Determine h, given that 6*h**3 + 2*h**4 + 6*h**w + 10*h**2 - 12*h**2 = 0.
-2, -1, 0
Let d = 10082/21 - 480. Let g(s) be the second derivative of 4/15*s**6 + 0*s**4 + 8*s - d*s**7 + 0 - 1/5*s**5 + 0*s**2 + 0*s**3. Let g(j) = 0. What is j?
0, 1
Let m(r) = 3*r**2 + 3*r + 4. Let b(u) = u**2 + 5*u. Let w be b(-4). Let g(d) = -5*d**2 - 5*d - 7. Let v(p) = w*g(p) - 7*m(p). Factor v(h).
-h*(h + 1)
Let q(x) be the second derivative of 1/30*x**4 + 8*x + 0 - 1/30*x**3 + 0*x**2 - 1/100*x**5. Factor q(h).
-h*(h - 1)**2/5
Let i(w) be the first derivative of 2*w**3/3 + 38*w**2 + 722*w + 308. Factor i(n).
2*(n + 19)**2
Let n(w) = -2*w**3 + 11*w**2 - 26*w + 192. Let x be n(6). Factor 2/13*u**3 + 2/13*u**4 - 2/13*u - 2/13*u**2 + x.
2*u*(u - 1)*(u + 1)**2/13
Factor 7*b + 1250 + 0*b**2 + 105*b + b**2 - 1366 + 3*b**2.
4*(b - 1)*(b + 29)
Solve -5*j**4 - 158*j**2 - 158*j**2 + 321*j**2 = 0.
-1, 0, 1
Let w(b) = b**5 - b**4 + b**3 - b. Let v(p) = 8*p**5 + 2*p**4 + 14*p**3 - 24*p**2 - 12*p + 12. Let h(a) = v(a) - 10*w(a). Suppose h(r) = 0. Calculate r.
-1, 1, 6
Let a(s) = s**4 - 4*s**3 - 3*s**2 + 2*s + 2. Let q(n) = -5*n**4 + 16*n**3 + 12*n**2 - 7*n - 7. Let m(l) = 18*a(l) + 4*q(l). Factor m(k).
-2*(k - 1)*(k + 1)*(k + 2)**2
Let p(i) = i**3 + 3*i**2 - 4*i + 5. Let f = -78 + 74. Let c be p(f). Suppose -2/7*m**c + 0*m + 0 + 2/7*m**3 + 0*m**4 + 0*m**2 = 0. Calculate m.
-1, 0, 1
Let g(k) = -5*k**2 + 180*k. Let x be g(36). Factor x*p + 0 + 3/5*p**3 + 3/5*p**2.
3*p**2*(p + 1)/5
Let i = 21 - 15. Factor -i*g + 0 + 4 - 21*g**2 - 4.
-3*g*(7*g + 2)
Let a(i) be the third derivative of i**8/6720 + i**7/2520 - 5*i**4/8 + 8*i**2. Let m(l) be the second derivative of a(l). Factor m(r).
r**2*(r + 1)
Factor 68*p - 30*p**2 + 5*p**3 - 27*p - 16*p.
5*p*(p - 5)*(p - 1)
Let k(u) be the second derivative of -u**4/42 - 6*u**3/7 - 81*u**2/7 - 20*u. Let k(t) = 0. What is t?
-9
Let a be 3 - 125/10 - -10. Let z(b) be the second derivative of 1/12*b**3 + 0 + 6*b - 1/40*b**5 - a*b**2 + 1/12*b**4. Factor z(u).
-(u - 2)*(u - 1)*(u + 1)/2
Let q(z) be the first derivative of 0*z**5 + 10/3*z**3 + 0*z + 0*z**2 - 5 - 15/4*z**4 + 5/6*z**6. Suppose q(k) = 0. What is k?
-2, 0, 1
Let s(z) be the third derivative of -1/1020*z**6 + 0*z**4 + 0*z + 4/51*z**3 - 1/170*z**5 + 0 - 12*z**2. Factor s(k).
-2*(k - 1)*(k + 2)**2/17
Let v(g) = -19*g + 0*g**2 + g**2 - 133 + 196. Let m be v(15). Factor 0*y**2 + 0*y + 0*y**4 + 1/2*y**m - 1/2*y**5 + 0.
-y**3*(y - 1)*(y + 1)/2
Let c(p) be the second derivative of -p**5/12 - 23*p**4/36 + 5*p**3/9 - 22*p. Solve c(u) = 0.
-5, 0, 2/5
Suppose 4/5*t**3 + 2/15*t**5 + 8/15*t**4 + 2/15*t + 0 + 8/15*t**2 = 0. What is t?
-1, 0
Let h = -106 - -108. Determine s so that -14 - s**h + 2*s**2 + 6*s + 6 + s**2 = 0.
-4, 1
Let r(d) be the third derivative of 4*d**2 + 1/120*d**5 + 1/36*d**3 + 0 - 1/48*d**4 - 1/720*d**6 + 0*d. Factor r(p).
-(p - 1)**3/6
Suppose -4*w - 5 = -13. Let c be 25/(-1875)*-5*3. Factor -1/5*j + 2/5*j**4 + c*j**5 + 0*j**3 - 2/5*j**w + 0.
j*(j - 1)*(j + 1)**3/5
Suppose -21*z + 560 = 7*z. Let s be -1 - (2/z)/((-3)/54). Find i, given that 0 - 3/5*i - s*i**2 - 1/5*i**3 = 0.
-3, -1, 0
Let p(k) = k**3 - 3*k**2 + 2*k - 3. Let b be p(3). Let s(j) be the first derivative of -j + 7 + 2/3*j**2 - 1/9*j**b. Factor s(q).
-(q - 3)*(q - 1)/3
Factor 3/2*c + 11/4*c**2 + 0 + c**3.
c*(c + 2)*(4*c + 3)/4
Suppose -2*i + 941 = 937. Suppose -32/3*v - 8 - 14/3*v**i - 2/3*v**3 = 0. Calculate v.
-3, -2
Let 8 - 2/17*a**2 + 64/17*a = 0. What is a?
-2, 34
Let b(c) = -3*c + 4. Let z(p) = 16*p - 20. Let k(l) = -11*b(l) - 2*z(l). Let w be k(6). Let 4/3*i - w*i**2 + 0 = 0. Calculate i.
0, 2/3
Let p(q) = -q**2 + 3*q - 1. Let u be p(2). Let o(y) = 1. Let n(k) = 17*k**2 + 15*k + 6*k**2 - 18*k**2. Let l(b) = u*n(b) + 10*o(b). Let l(c) = 0. Calculate c.
-2, -1
Let q(u) = -7*u + 3*u**2 + 0*u - 4*u**2 + 6*u + u**3. Let o(p) = p**4 + 5*p**3 - 3*p**2 - 3*p. Let r(j) = -4*o(j) + 12*q(j). Let r(k) = 0. Calculate k.
-2, 0
Let x = -14/79 - -677/4266. Let b = x - -113/270. Solve b*m**4 - 2/5*m**5 + 0 + 2/5*m**3 + 0*m - 2/5*m**2 = 0.
-1, 0, 1
Factor -4/5*n - 42/5*n**2 + 0 - 4*n**3.
-2*n*(n + 2)*(10*n + 1)/5
Suppose 50*a = 51*a. Let u(v) be the third derivative of 0 + 0*v**4 + 4*v**2 + a*v - 1/150*v**5 + 1/15*v**3. Find k such that u(k) = 0.
-1, 1
Let z(v) be the second derivative of -v**6/195 - v**5/26 - 4*v**4/39 - 4*v**3/39 + 56*v. What is r in z(r) = 0?
-2, -1, 0
Let t = 4 - 2. Suppose 0 = 3*k - x - 5, 3*x + 1 = 2*k - 0. Suppose -3*b + 14*b**5 + 28*b**t - 24*b**4 - 4*b**5 - 12*b**3 + k*b**2 - 6 + 5*b**5 = 0. Calculate b.
-1, -2/5, 1
Let q(o) be the third derivative of o**7/2310 + o**6/330 - 83*o**5/660 + 25*o**4/44 - 12*o**3/11 - 2*o**2 - 227*o. Factor q(f).
(f - 6)*(f - 1)**2*(f + 12)/11
Let j = -39409/57 + 3535/19. Let w = 510 + j. What is o in 10/3*o**2 + w*o + 2 + 2/3*o**3 = 0?
-3, -1
Let v be (26100/(-8) + 2)*(-4)/14. Let g = -929 + v. Determine j, given that 10/7*j**3 - 4/7*j**5 + 6/