2*b**z + 4*b + 8/3 + r*b**3.
(b + 2)**3/3
Let i(d) be the third derivative of d**7/630 - d**6/120 - d**5/12 - 17*d**4/72 - d**3/3 + 6*d**2 - 2*d. Factor i(b).
(b - 6)*(b + 1)**3/3
Suppose -2*q**4 + 2*q + 3*q**2 - q**2 + q**3 - q**3 - 2*q**3 = 0. What is q?
-1, 0, 1
Let k(m) be the second derivative of -m**6/180 + m**5/120 + m**4/72 - m**3/36 + 8*m. What is t in k(t) = 0?
-1, 0, 1
Let b(c) = -195*c**3 + 441*c**2 - 276*c + 51. Let a(l) = 39*l**3 - 88*l**2 + 55*l - 10. Let h(p) = -21*a(p) - 4*b(p). Factor h(z).
-3*(z - 1)**2*(13*z - 2)
Let v = -37/76 - -14/19. Factor -v*s**2 + 1/2*s - 1/4.
-(s - 1)**2/4
Factor 2*x**2 - 3/2*x**3 + 1/3 + 11/6*x.
-(x - 2)*(3*x + 1)**2/6
Let c(j) be the first derivative of -j - 1 - 1/24*j**4 + 0*j**2 + 1/12*j**3. Let d(m) be the first derivative of c(m). Determine n, given that d(n) = 0.
0, 1
Let c = -6 - -9. Let t(o) = o**2 - 5*o. Let g be t(c). Let v(s) = -8*s**2 + 4*s - 2. Let n(r) = 15*r**2 - 8*r + 4. Let m(p) = g*n(p) - 11*v(p). Factor m(z).
-2*(z - 1)**2
Suppose 4*l - 2*a = 3*a + 7, l + 4*a = 7. Find s such that -1/4 - 4*s**l - 6*s**2 - 9/4*s = 0.
-1, -1/4
Solve 17*h + 1 - 16 + 5*h**3 - 15*h - 27*h - 5*h**2 = 0 for h.
-1, 3
Let o(d) = d - 5. Let g(l) = 1. Let t(a) = 2*g(a) + o(a). Let s be t(8). Factor -s*y - y + 4*y + 2*y**2 + 4*y**3.
2*y*(y + 1)*(2*y - 1)
Let x(t) = -4*t**3 - 5*t**2 - 4*t - 3. Let o(g) = 11*g**3 + 14*g**2 + 11*g + 8. Let j = 23 + -15. Let h(k) = j*x(k) + 3*o(k). Factor h(n).
n*(n + 1)**2
Let w(v) be the third derivative of v**5/15 + v**4 + 6*v**3 + 12*v**2. Find s, given that w(s) = 0.
-3
Let i(k) be the second derivative of -k**5/20 - k**4 - 11*k**3/6 + 9*k**2/2 - k. Let p be i(-11). Let p*f - f + 84*f**2 - 28*f**2 + 98*f**3 = 0. What is f?
-2/7, 0
Let 2/3*t**2 + 4/3*t + 2/3 = 0. What is t?
-1
Let y = 74 + -512/7. Let 2/7 - 2/7*p**3 + y*p**2 - 6/7*p = 0. What is p?
1
Let j be (-4)/9 - (-980)/504. Suppose 0 + 3/4*x**3 + j*x**2 + 3/4*x = 0. Calculate x.
-1, 0
Let h(c) be the second derivative of -c**6/10 - 3*c**5/20 + 4*c. Factor h(n).
-3*n**3*(n + 1)
Find p, given that 15/2*p**5 + 0 - 69/2*p**4 - 6*p**2 + 45*p**3 - 12*p = 0.
-2/5, 0, 1, 2
Let d = -1/158 + 319/474. Find k such that 0 + 7/3*k**4 + d*k**3 - 2/3*k - 7/3*k**2 = 0.
-1, -2/7, 0, 1
Suppose y + 3*s - 1 = 11, 5*y = 2*s - 8. Factor -8/5 + y*x + 2/5*x**2.
2*(x - 2)*(x + 2)/5
Let n(p) be the first derivative of -p**4/36 + 2*p**3/27 - 18. Factor n(k).
-k**2*(k - 2)/9
Let z(u) be the second derivative of -u**5/10 - 5*u**4 - 100*u**3 - 1000*u**2 + 6*u. Factor z(y).
-2*(y + 10)**3
Factor 3/8*i**3 + 0 + 9/4*i - 15/8*i**2.
3*i*(i - 3)*(i - 2)/8
Let v(s) be the first derivative of 7*s**4 + 12*s**3 - 24*s**2 - 16*s - 4. Let v(l) = 0. Calculate l.
-2, -2/7, 1
Let c(z) be the second derivative of -4*z**7/273 - 23*z**6/195 - 21*z**5/65 - 14*z**4/39 - 2*z**3/39 + 3*z**2/13 - 17*z. Find b, given that c(b) = 0.
-3, -1, 1/4
Let u = 180 + -180. Factor -1/2*p**3 + 0*p + 0*p**4 + 0*p**2 + 1/2*p**5 + u.
p**3*(p - 1)*(p + 1)/2
Let x(g) be the third derivative of 1/24*g**8 - 1/21*g**7 + 0 + g**2 + 1/6*g**5 + 1/6*g**4 - 3/20*g**6 + 0*g + 0*g**3. Let x(w) = 0. Calculate w.
-1, -2/7, 0, 1
Solve 4/5*p - 13/5*p**3 - p**4 + 0 - 4/5*p**2 = 0.
-2, -1, 0, 2/5
Let k = -1/518 + 1041/2590. What is b in -k*b + 2/5*b**2 - 4/5 = 0?
-1, 2
Let i(n) be the second derivative of n**8/3360 - n**7/1260 - n**6/360 + n**5/60 - n**4/12 + n. Let r(t) be the third derivative of i(t). Solve r(k) = 0 for k.
-1, 1
Let y(l) be the first derivative of l**3/9 - l/3 + 5. Factor y(h).
(h - 1)*(h + 1)/3
Let c be -6*((-2)/6 - 0). Let i = -1 + 6. Solve 0*z**4 + 0*z - 1/3*z**3 + 0*z**c + 0 + 1/3*z**i = 0 for z.
-1, 0, 1
Let r = 9 - 5. Let z = -2 + r. Suppose 24*h - 16 + h**z - h**3 + 3*h**3 - 13*h**2 = 0. Calculate h.
2
Let h(b) be the second derivative of 2*b**7/63 + 2*b**6/45 - b**5/5 - 5*b**4/9 - 4*b**3/9 + 7*b. Suppose h(a) = 0. What is a?
-1, 0, 2
Let j(b) be the second derivative of -b**6/6 - b**5/2 - 5*b**4/12 - 2*b - 3. Factor j(o).
-5*o**2*(o + 1)**2
Suppose -6*d**2 + 6 - 5*d + 12*d**3 - 2*d**4 - 3*d**5 + 2*d**4 - 4*d = 0. What is d?
-2, -1, 1
Let s(y) be the second derivative of y**4/12 + 2*y. Factor s(f).
f**2
Let z be 0/(-1*3)*(7 - 6). What is p in 0 - 2/9*p**2 + 2/9*p**5 - 2/9*p**3 + z*p + 2/9*p**4 = 0?
-1, 0, 1
Find n such that -18*n**2 - 8 - 12*n**3 + 6*n**2 - 20*n**2 - n - 27*n = 0.
-1, -2/3
Let j(a) be the third derivative of -a**5/30 - 2*a**4/3 - 16*a**3/3 + 13*a**2. Suppose j(b) = 0. Calculate b.
-4
Let j = 9 - 8. What is v in 9*v**3 + 3*v + 15*v**2 + 1 - 15*v**4 - 12*v**5 - j = 0?
-1, -1/4, 0, 1
Let z(s) be the second derivative of s**6/420 - s**5/210 - s**2/2 + 2*s. Let i(l) be the first derivative of z(l). Factor i(w).
2*w**2*(w - 1)/7
Suppose -1 = q - 6, 2*u + 8 = 4*q. Let v be (-63)/(-15)*u/7. Find o such that -v - 12/5*o - 2/5*o**2 = 0.
-3
Let v(p) = -p**3 + 30*p**2 - 30*p + 31. Let x be v(29). Solve -1/3 - 2/3*h - 1/3*h**x = 0 for h.
-1
Let o(v) be the second derivative of 3/10*v**5 - 1/3*v**3 + 2/3*v**4 - 2*v**2 - 4*v + 0. Factor o(i).
2*(i + 1)**2*(3*i - 2)
Let w be 2/(12/3)*6. Let i(y) be the third derivative of 1/12*y**4 - 1/30*y**5 + 0*y + 0 + y**2 - 1/60*y**6 + 1/3*y**w. Factor i(s).
-2*(s - 1)*(s + 1)**2
Solve -20*k**2 + 16 + 236*k**4 - 12*k**3 - 472*k**4 + 240*k**4 + 12*k = 0 for k.
-1, 1, 4
Suppose s + 0*s = 3. Let g(z) = -z**2 + 6*z - 6. Let y be g(4). Find p such that -p**3 - p**s + p**2 + p**5 - 1 - p**4 + p + p**y = 0.
-1, 1
Factor -2/7 - 2/7*z + 2/7*z**3 + 2/7*z**2.
2*(z - 1)*(z + 1)**2/7
Let u(f) be the first derivative of -2*f**5/45 - f**4/9 + 2*f**2/9 + 2*f/9 + 11. Suppose u(d) = 0. What is d?
-1, 1
Suppose -3*t + 152 = -3*s - 2*s, 0 = 4*s + 16. Let j be (-3 - (-30)/8)*t. Find q such that 63*q**2 + 15*q**4 + 56*q**3 + 5 - 2*q**3 - 3*q**3 + 1 + j*q = 0.
-1, -2/5
Let z be (-1)/(-165) + 2 + (-2)/1. Let f(h) be the second derivative of 0*h**4 + 1/11*h**2 - 2*h - z*h**6 - 1/55*h**5 + 0 + 2/33*h**3. What is q in f(q) = 0?
-1, 1
Let r = 19 - 13. Let q be ((-9)/r)/((-3)/4). Find d, given that -2 - 2*d + d - 2*d**3 - 6*d**q - 5*d = 0.
-1
Let m(j) = 9*j**2 + 24. Let s(t) = t**2 + t + 1. Let f = 6 + 18. Let n(d) = f*s(d) - 3*m(d). Determine v so that n(v) = 0.
4
Factor 10 - 828*c - 6*c**2 + 2*c**3 + 825*c - 3*c**3.
-(c - 1)*(c + 2)*(c + 5)
Let z(j) = j**3 + 4*j**2 - 5*j. Let v be z(-5). Find x, given that v*x**4 + 3*x + 4*x**2 + 0*x**4 + x**2 - x**4 + x**3 = 0.
-1, 0, 3
Let w = 16 + -17. Let i(f) = -f**2 + f. Let o(m) = -m**3 - 6*m**2 + 5*m. Let t be (-1)/(-4) + (-19)/(-4). Let n(s) = t*i(s) + w*o(s). Find a such that n(a) = 0.
-1, 0
Let s(w) be the third derivative of -w**5/270 + w**4/36 - w**2. Factor s(i).
-2*i*(i - 3)/9
Let l(b) = 0*b**2 + 2*b - b**2 - b**2 + 0*b**2. Let j(w) = -w**2 + w. Suppose -3*x - 6 = -0*x - 3*u, -12 = 3*u. Let v(t) = x*l(t) + 14*j(t). Factor v(k).
-2*k*(k - 1)
Suppose 3*s = -3*o - 0*s + 9, 3*o - 10 = -4*s. Factor 2*z + o*z**5 + 0 - 2*z**4 - 3 + 1 + 4*z**2 - 4*z**3.
2*(z - 1)**3*(z + 1)**2
Let g(k) be the second derivative of 3*k**6/25 + 6*k**5/25 - k**4/6 - 4*k**3/5 - 4*k**2/5 + 11*k. Find f, given that g(f) = 0.
-1, -2/3, 1
Let u(y) be the third derivative of 0*y**3 - 1/100*y**6 - 1/350*y**7 - 1/100*y**5 + 4*y**2 + 0*y**4 + 0*y + 0. Factor u(i).
-3*i**2*(i + 1)**2/5
Suppose 0*s + s = 3*k - 8, -5*s + 5*k = 0. Factor 0*c - 2*c + 6*c**3 - 8*c**2 + 0*c + s.
2*(c - 1)**2*(3*c + 2)
Let s be (-1)/(2/8) - -8. Solve 14*a**2 - 5*a**4 + a**s - 4*a**3 - 6*a**2 = 0 for a.
-2, 0, 1
Let g(w) be the first derivative of -1/7*w**4 - 3 + 1/35*w**5 - 2/7*w**2 + 1/7*w + 2/7*w**3. Factor g(a).
(a - 1)**4/7
Let s(z) be the second derivative of 0*z**2 - 1/12*z**4 + 0*z**3 + 0 + 2*z - 1/10*z**5 - 1/30*z**6. Suppose s(n) = 0. Calculate n.
-1, 0
Let q be (-4)/6 - (-10)/5. Factor q*w + 2/3 + 2/3*w**2.
2*(w + 1)**2/3
Let -3/2*p**3 - 9/2*p + 27/2 - 15/2*p**2 = 0. Calculate p.
-3, 1
Let s(r) be the third derivative of -r**5/90 - r**4/12 - 2*r**3/9 - 19*r**2. Find v, given that s(v) = 0.
-2, -1
Suppose 7*u - 9 = 5. Solve 3 - 2*p + 1/3*p**u = 0 for p.
3
Let n(i) be the third derivative of 0*i - 2*i**2 - 1/5*i**3 - 1/450*i**5 + 1/30*i**4 + 0. Factor n(p).
-2*(p - 3)**2/15
Suppose p = 2 - 1. Factor 5*z**3 - z**5 - 3*z**4 - 2*z**2 + z**3 + p - 4*z**3 - z + 4*z**4.
-(z