 + g**2 + a*g**4. Determine p so that b(p) = 0.
-1, 1
Let l(j) be the third derivative of -j**7/105 + j**6/12 - j**5/5 - j**4/3 + 8*j**3/3 + 12*j**2. Factor l(t).
-2*(t - 2)**3*(t + 1)
Let p(k) be the first derivative of -k**3/6 - k**2/4 - 22. Let p(f) = 0. What is f?
-1, 0
Let m(d) be the first derivative of -3*d**5 - 9*d**4 - 4*d**3 - 31. Suppose m(z) = 0. What is z?
-2, -2/5, 0
Let l(x) be the second derivative of x**6/6 + 3*x**5/4 + 5*x**4/6 + 11*x. Let l(f) = 0. Calculate f.
-2, -1, 0
Let s be (-3 - -3)*(-4)/8. Suppose -m - m + 8 = s. What is d in 0*d**m + 0*d + 0*d**2 - 1/3*d**5 + 0 + 1/3*d**3 = 0?
-1, 0, 1
Let y(p) = -13*p**2 + 2*p - 5. Let r(s) = -19*s**2 + 3*s - 7. Let q(z) = -5*r(z) + 7*y(z). Suppose q(m) = 0. Calculate m.
0, 1/4
Let c(m) be the third derivative of -m**7/1575 + m**6/150 - m**5/450 - 2*m**4/15 - 16*m**3/45 - 5*m**2. Suppose c(i) = 0. What is i?
-1, 4
Let n(v) be the third derivative of -v**6/1440 - v**5/480 + v**3/6 - 5*v**2. Let r(d) be the first derivative of n(d). What is i in r(i) = 0?
-1, 0
Factor 3/2*x - 1/6*x**2 - 7/3.
-(x - 7)*(x - 2)/6
Let y be ((-4)/10)/(1/(-5)). Let b be (y/18)/(2/12). Factor b*p**2 + 0 - 4/3*p.
2*p*(p - 2)/3
Suppose -5*o - 9 - 6 = 2*c, 5*c + 12 = -4*o. Solve c - 10/7*d**2 + 4/7*d = 0 for d.
0, 2/5
Suppose q = y - 3, 4*y - 9*q = -4*q + 12. Factor 4*b**3 - b**2 + 0*b**3 + y*b**2.
2*b**2*(2*b + 1)
Let s be (795/(-81))/(-5) + -2. Let i = 25/54 - s. Find v such that i*v**5 - 1/2*v**3 + 0*v**4 + 0*v**2 + 0 + 0*v = 0.
-1, 0, 1
Let l(h) be the first derivative of -3/2*h**2 + 2 + 0*h**4 + 0*h**3 - 1/30*h**5 - 1/120*h**6 + 0*h. Let f(v) be the second derivative of l(v). Solve f(g) = 0.
-2, 0
Let z be (36/48)/(27/24). Suppose -z*u**2 - 8/3 + 8/3*u = 0. What is u?
2
Let p(r) = r**3 + r**2. Let a(z) = -2*z**4 + 70*z**3 - 264*z**2 - 48*z + 288. Let m(n) = 2*a(n) - 44*p(n). Factor m(i).
-4*(i - 12)**2*(i - 1)*(i + 1)
Let b be ((-8)/(-30))/(12/10). Factor b*j**2 - 2/9*j - 2/9 + 2/9*j**3.
2*(j - 1)*(j + 1)**2/9
Let a(r) = 9*r**2 - 5*r - 34. Let d(f) = -80*f**2 + 45*f + 305. Let w(q) = -35*a(q) - 4*d(q). Determine z, given that w(z) = 0.
-2, 3
Let s(d) be the second derivative of 0 - 1/20*d**6 - 1/12*d**3 + 4*d - 5/24*d**4 - 7/40*d**5 + 0*d**2. Find h, given that s(h) = 0.
-1, -1/3, 0
Let j be -4*((-11)/4 + 3). Let s be 3 + j + -5 + 3. Determine b so that 0*b**2 - 1/3*b**3 + s + 2/3*b**4 + 0*b - 1/3*b**5 = 0.
0, 1
Let m be 3/4 - (-5)/4. Find q, given that -2*q**2 + q - 4*q**3 - m*q**4 - q = 0.
-1, 0
Factor 13/6*m + 1/6*m**5 + 1/2 + 11/3*m**2 + 7/6*m**4 + 3*m**3.
(m + 1)**4*(m + 3)/6
Let f = -20 + 6. Let i = 18 + f. Determine r, given that 16/3*r**i + 14/3*r**3 + 2/3*r**2 + 0 + 0*r - 32/3*r**5 = 0.
-1/4, 0, 1
Let u = -32/9 - -268/45. Factor 0 - u*b**3 + 3/5*b**2 + 0*b.
-3*b**2*(4*b - 1)/5
Let s(c) be the first derivative of c**4/24 - c**3/18 - c**2/12 + c/6 - 6. Determine f so that s(f) = 0.
-1, 1
Find i, given that 60/11*i + 9/11*i**4 + 15/11*i**3 - 16/11 - 68/11*i**2 = 0.
-4, 2/3, 1
Let i(q) be the first derivative of 0*q**2 - 1/75*q**6 + 1/50*q**5 + 1/30*q**4 - 1/15*q**3 - 1 - 3*q. Let g(w) be the first derivative of i(w). Factor g(f).
-2*f*(f - 1)**2*(f + 1)/5
Factor 393*c + 0*c**2 - 2*c**3 - 391*c + 2*c**4 - 2*c**2.
2*c*(c - 1)**2*(c + 1)
Let l(u) be the first derivative of 3*u**4/10 - 8*u**3/15 - u**2 + 4*u/5 - 1. Let l(o) = 0. Calculate o.
-1, 1/3, 2
Suppose -4*i - 2 = 4*f + i, -8 = 4*i. Suppose -f*s = -2, -5*b + 3*s + 20 = -2*s. Factor 2*j**5 - 3*j**b + 0*j**4 - j**4.
-j**4*(j + 1)
Suppose -s + 1 = q - 3, 2*s = 4*q + 2. Suppose c = 2*a + 6, -2*c + 2*a = s*a - 2. Let 0*j**2 + 3*j**3 + 5*j**c - 2*j**2 = 0. Calculate j.
-1, 0
Let o = 8 - 6. Factor 0*f**3 + 2*f**o - 4*f**3 + 4*f**4 - 2*f**4.
2*f**2*(f - 1)**2
Let k(a) = a. Let g(y) = -y**2 - 3*y + 1. Let i(w) = -2*g(w) - 4*k(w). Let b be i(-2). Factor 4*o**3 - b*o**3 - o - o**3.
o*(o - 1)*(o + 1)
Find l such that 8/5 + 14/5*l + 4/5*l**2 - 2/5*l**3 = 0.
-1, 4
Factor 2/9*b**2 + 4/9*b + 2/9.
2*(b + 1)**2/9
Let a = 1394/3 - 464. Let 1/3 + a*f**2 + f = 0. What is f?
-1, -1/2
Let q(a) = 6*a + 29. Let c be q(-4). Let d(u) be the second derivative of 0*u**2 + 5/4*u**4 + 1/2*u**3 + 3*u + 0 + 3/5*u**c. Find i, given that d(i) = 0.
-1, -1/4, 0
Let n(x) be the second derivative of x**6/50 + 3*x**5/50 + x**4/20 - 17*x. Determine f so that n(f) = 0.
-1, 0
Let r(w) be the second derivative of w**6/285 + 3*w**5/95 + 13*w**4/114 + 4*w**3/19 + 4*w**2/19 + 25*w. Factor r(p).
2*(p + 1)**2*(p + 2)**2/19
Let b(c) be the first derivative of c**6/21 + 2*c**5/35 - c**4/7 - 4*c**3/21 + c**2/7 + 2*c/7 - 2. Factor b(o).
2*(o - 1)**2*(o + 1)**3/7
Let t(k) be the first derivative of -k**7/42 - k**6/30 + k**5/20 + k**4/12 + 4*k - 1. Let b(w) be the first derivative of t(w). Solve b(i) = 0.
-1, 0, 1
Let g(u) be the third derivative of 0 + 1/1008*u**8 + 0*u**3 - 1/360*u**6 + 1/630*u**7 + 0*u + 0*u**4 + u**2 - 1/180*u**5. What is o in g(o) = 0?
-1, 0, 1
Determine h so that 0 + 1/6*h**2 - 1/3*h + 1/6*h**3 = 0.
-2, 0, 1
Let t(o) = o + 1. Let h(l) = -5*l - 4. Let g(x) = 2*h(x) + 9*t(x). Let u be g(-5). Factor 4*f**5 - u*f**4 + f**3 - 2*f**3 + 3*f**4.
f**3*(f - 1)*(4*f + 1)
Let m(k) = k**2 + 8*k + 10. Let s = -21 - -14. Let n be m(s). Factor 2/9*h + 0*h**n - 4/9*h**2 + 0 - 2/9*h**5 + 4/9*h**4.
-2*h*(h - 1)**3*(h + 1)/9
Let t be (-2)/4 + 72/16. Find g such that -2*g**5 + 2*g**3 - 2/3*g**2 + 0*g + 0 + 2/3*g**t = 0.
-1, 0, 1/3, 1
Let z(k) = 6*k**4 + 9*k**3 - 6*k**2 - 9*k. Let m(i) = i**5 + 13*i**4 + 17*i**3 - 12*i**2 - 18*i - 1. Let j(v) = 3*m(v) - 5*z(v). Let j(r) = 0. Calculate r.
-1, 1
Let u = 3 - -1. Let y = 2 + 3. What is m in m**3 - 2*m**3 - m**5 - y*m**4 + 3*m**u = 0?
-1, 0
Let r be ((-7)/(-3) - 1)*-3. Let h(y) = y**4 - 5*y**3 - y**2 - 5. Let z(t) = -t**4 + 4*t**3 + t**2 + 4. Let p(l) = r*h(l) - 5*z(l). Factor p(f).
f**2*(f - 1)*(f + 1)
Let d(a) = a**3 + 12*a**2 - 2*a - 19. Let t be d(-12). Let k be -1 + 2*9/14. What is m in -6/7*m**4 + 2/7*m**t - k*m**2 + 0*m + 0 + 6/7*m**3 = 0?
0, 1
Find g such that 2*g**2 - 8 - 32*g + 32*g = 0.
-2, 2
Let o(p) = -3*p**5 + p**4 + 5*p**3 - p**2 - 8*p - 4. Let y(u) = -4*u**5 + u**4 + 5*u**3 - u**2 - 8*u - 4. Let a(l) = 3*o(l) - 2*y(l). Factor a(r).
-(r - 2)**2*(r + 1)**3
Let c(b) be the first derivative of 0*b + 0*b**2 + 0*b**3 - 2 + 1/8*b**6 + 0*b**4 - 3/20*b**5. Factor c(h).
3*h**4*(h - 1)/4
Let k(n) be the first derivative of -n**6 - 4*n**5/5 + n**4/2 - 1. Suppose k(c) = 0. What is c?
-1, 0, 1/3
Suppose n - 3*v = -2*n + 87, -2*n + v + 53 = 0. Let k be n/20*(-10)/(-3). Factor 0*c**2 + 2/5*c**k - 4/5*c - 2/5 + 4/5*c**3.
2*(c - 1)*(c + 1)**3/5
Suppose -35 = h - 6*h. Factor -2 - 11*o - 2*o**2 + h*o + 0*o.
-2*(o + 1)**2
Let f(b) be the second derivative of 2*b**5/55 + 3*b**4/22 + 2*b**3/11 + b**2/11 - 9*b. Factor f(n).
2*(n + 1)**2*(4*n + 1)/11
Let j(z) be the third derivative of -z**5/15 + 5*z**4/6 - 8*z**3/3 - 2*z**2 + 8*z. Factor j(g).
-4*(g - 4)*(g - 1)
Factor -4*k + 4*k**2 + 11*k + 5*k + 8 + 0*k**2.
4*(k + 1)*(k + 2)
Let m(v) be the first derivative of v**7/945 + v**6/135 + v**5/54 + v**4/54 - v**2/2 - 2. Let l(s) be the second derivative of m(s). Factor l(w).
2*w*(w + 1)**2*(w + 2)/9
Let w(i) be the third derivative of -i**8/168 + i**6/12 - i**4/3 + 27*i**2. Find o such that w(o) = 0.
-2, -1, 0, 1, 2
Let x be (-1 + 0)/((-1)/6). Let z be 4/x - 32/72. Factor 8/9 + 10/9*m**2 + 16/9*m + z*m**3.
2*(m + 1)*(m + 2)**2/9
Suppose 31 = -4*n + 3. Let d = n + 11. Find b such that 0 + 1/3*b**2 - 1/3*b**d + 0*b + 0*b**3 = 0.
-1, 0, 1
Let q be (-23)/(-1) + (-9)/3. Suppose -3*h**2 + 0 - 3*h - 1 - q*h**3 + 19*h**3 = 0. What is h?
-1
Let q(r) be the second derivative of -25*r**4/4 + 5*r**3 - 3*r**2/2 - 9*r. Factor q(i).
-3*(5*i - 1)**2
Suppose 0 = -2*w + 3 - 1. Let l be 1/((-4)/(-2) + w). Let -1/3*k**3 + l*k**5 + 0*k - 1/3*k**4 + 1/3*k**2 + 0 = 0. Calculate k.
-1, 0, 1
Let h(w) = -2*w**2 + 4*w - 6. Let j(f) = 2*f**2 - 4*f + 5. Let p be (-1 + 4)*(1 - 2). Let m = p + 6. Let r(o) = m*h(o) + 4*j(o). Factor r(q).
2*(q - 1)**2
Let g(c) be the first derivative of 3 + 2/5*c**2 + 2/15*c**3 + 2/5*c. Suppose g(u) = 0. What is u?
-1
Let k(q) be the first derivative of q**6/60 - q**4/8 - q**3/6 + 2*q - 1. Let p(n) be the first derivative of k(n). Suppose p(d) = 0. Calculate d.