ve of v(d). Solve w(y) = 0.
0, 1
Let u(q) be the third derivative of 0*q + 1/42*q**4 + 1/210*q**5 + 1/21*q**3 + 0 + q**2. Suppose u(b) = 0. What is b?
-1
Let a(j) be the first derivative of 8 + 0*j - 8/3*j**3 - j**2. Let a(s) = 0. Calculate s.
-1/4, 0
Factor -5/2 + 3*d - 1/2*d**2.
-(d - 5)*(d - 1)/2
Suppose 2*j = -2*j + 20. Suppose 0 = -4*n + j*a + 29 - 7, 4*a + 2 = -2*n. Factor 3*h**3 - h - h**n - h - 1 + h**2.
(h - 1)*(h + 1)*(2*h + 1)
Let n(g) = g**2 - 8*g - 19. Let b be n(9). Let l be (b - -7) + (-5)/(-1). Determine p so that 4/3*p - 2/3*p**l - 2/3 = 0.
1
Let y(i) be the first derivative of i**6/480 - i**5/240 - i**4/96 + i**3/24 + 5*i**2 - 7. Let l(m) be the second derivative of y(m). Factor l(v).
(v - 1)**2*(v + 1)/4
Let k(f) be the second derivative of -f**10/90720 + f**8/20160 + f**4/2 - f. Let d(x) be the third derivative of k(x). Suppose d(b) = 0. What is b?
-1, 0, 1
Let n(y) be the third derivative of y**8/24 - 2*y**7/7 + 29*y**6/60 + 11*y**5/15 - 3*y**4 + 8*y**3/3 - 17*y**2. Determine a, given that n(a) = 0.
-1, 2/7, 1, 2
Let y = 4 + 2. Determine l, given that -6 - 2*l - 7*l - 3*l**2 + 3 - 3*l**3 - y*l**2 = 0.
-1
Let g be 6 + (-3)/((-9)/(-6)). Let c be -6*(9/6 + -2). Find y such that -7*y**4 + 0*y**g + 2*y**2 - c*y**3 + 2*y**4 = 0.
-1, 0, 2/5
Let p(m) be the third derivative of -m**7/420 + m**6/120 + m**5/40 - m**4/6 + m**3/3 - 25*m**2. Find w such that p(w) = 0.
-2, 1, 2
Let w(n) be the second derivative of -2/21*n**7 + 7/12*n**4 - 3/4*n**5 + 2*n + 0 - 1/6*n**3 + 13/30*n**6 + 0*n**2. Factor w(k).
-k*(k - 1)**3*(4*k - 1)
Let s(g) = -24*g**2 - 14*g + 21. Let k(o) = 3*o + 2. Let t be k(-8). Let c(f) = -5*f**2 - 3*f + 4. Let u(q) = t*c(q) + 4*s(q). Solve u(b) = 0.
-1, 2/7
Let g(u) = -u**2 - 4*u + 4. Let d be g(-4). Suppose 9 = d*q + 1. Let -1/2*f**q - 1/4*f + 1/4 = 0. Calculate f.
-1, 1/2
Let a(u) be the second derivative of -u**5/90 + u**4/36 - u**2 - 3*u. Let v(p) be the first derivative of a(p). Factor v(b).
-2*b*(b - 1)/3
Let h(a) be the third derivative of a**7/10 - 2*a**6/5 + 11*a**5/20 - a**4/4 + 9*a**2. Factor h(r).
3*r*(r - 1)**2*(7*r - 2)
Factor 0*k + 0 - 3/2*k**2.
-3*k**2/2
Let w(n) be the second derivative of n**7/210 - n**6/60 + n**5/60 - 3*n**2/2 - n. Let z(t) be the first derivative of w(t). What is q in z(q) = 0?
0, 1
Let w(z) = z**3 + 6*z**2 + 2*z - 11. Let a be w(-5). Let q(d) be the second derivative of 0*d**2 + 1/6*d**3 + 0 + 2*d - 1/12*d**a. Factor q(j).
-j*(j - 1)
Let p(o) be the second derivative of 0 - 3*o + 1/2*o**3 + 1/12*o**4 + o**2. Factor p(l).
(l + 1)*(l + 2)
Suppose 43*c + 27 = 199. What is h in -7/6*h**c + 0 - 1/3*h**2 + 0*h + 3/2*h**3 = 0?
0, 2/7, 1
Let d(v) be the first derivative of v**3/5 + 3*v**2/5 + 3*v/5 + 9. Determine s so that d(s) = 0.
-1
Let k(q) be the first derivative of q**3/3 - 3*q**2/2 + 30. What is u in k(u) = 0?
0, 3
Suppose -3*t = 5*p - 77, -3*t - 4*p + 3*p + 97 = 0. Let o = t + -30. Suppose -1/2*f**5 + 0 + 0*f**2 + 1/2*f**o + 0*f + 0*f**3 = 0. What is f?
0, 1
Suppose b - 3*v = 0, -6*v = -11*v. Suppose -3*q - 10 = -8*q. Factor -l**3 + 0 + 1/2*l**q + 1/2*l**4 + b*l.
l**2*(l - 1)**2/2
Let c(b) be the third derivative of b**5/15 + b**4/3 + 3*b**2. Factor c(l).
4*l*(l + 2)
Solve 7*w**2 - w**4 - w**2 - 3 - 2*w**4 = 0.
-1, 1
Let z(k) = 5*k**2. Let c be z(1). Factor 39*n**c + 4*n**3 - 36*n**5 + 5*n**3 - 9*n**4 - 3*n**2.
3*n**2*(n - 1)**3
Factor 0 + 0*i**2 + 2*i**4 + 0*i - 1/2*i**3 - 3/2*i**5.
-i**3*(i - 1)*(3*i - 1)/2
Let g(x) = x**3 + x + 1. Let y be -3 + -6*(-2)/4. Let f(u) = 0*u**2 + y*u**2 + 0 + 1 - 2*u**2. Let l(z) = 2*f(z) - 2*g(z). Solve l(m) = 0.
-1, 0
Let s be 1 - (-6 + -1 + 3). Suppose 2*j - j = 2. Solve k - k**2 - 3*k + 11*k**3 + s*k**3 - 9*k**4 - 4*k**j = 0 for k.
-2/9, 0, 1
Let q be (-1)/(-1) + (-7)/1. Let r be 3/q*(1 - 5). Factor -r*m - m**3 - 1 + 0*m**4 + m**4 + 3*m**3 + 0*m.
(m - 1)*(m + 1)**3
Let s(m) be the third derivative of -1/120*m**5 - 1/12*m**3 + 0 + 1/24*m**4 + 0*m + m**2. Determine o so that s(o) = 0.
1
Find g, given that 4*g**5 - 4*g**4 - g**3 + 0*g**4 + 4*g**2 - 3*g**3 = 0.
-1, 0, 1
Let d(r) = 93*r**4 + 541*r**3 + 675*r**2 + 259*r + 37. Let n(f) = -140*f**4 - 812*f**3 - 1013*f**2 - 389*f - 55. Let h(a) = 7*d(a) + 5*n(a). Factor h(i).
-(i + 1)*(i + 4)*(7*i + 2)**2
Let j(g) be the first derivative of g**4 - 28*g**3 + 294*g**2 - 1372*g - 23. Factor j(o).
4*(o - 7)**3
Let v(d) be the first derivative of -2*d**5/85 + d**4/17 + 2*d**3/17 - 4*d**2/17 - 8*d/17 + 15. Determine y so that v(y) = 0.
-1, 2
Let t(u) be the third derivative of 0*u**5 - 1/168*u**8 - 1/105*u**7 + 0 + 0*u**3 + 0*u - 7*u**2 + 0*u**6 + 0*u**4. Solve t(d) = 0.
-1, 0
Let x be (-2)/((7/2)/(-7)). Find a, given that 0 + 1/3*a**5 + 0*a**x + 1/3*a + 0*a**2 - 2/3*a**3 = 0.
-1, 0, 1
Let q be (46/(-8) - -4)/(1/(-6)). Determine p, given that 0 + 8*p**2 + 9/2*p**4 + q*p**3 + 2*p = 0.
-1, -2/3, 0
Let f(o) = -2*o + 6. Let y be f(-5). Factor s**5 - 4*s**3 + 6*s**3 + 13*s**5 + y*s**4 - 4*s**2 - 4*s**5.
2*s**2*(s + 1)**2*(5*s - 2)
Let 1/4*i**2 + 0 + 0*i - 1/2*i**3 + 1/4*i**4 = 0. What is i?
0, 1
Let f(q) be the second derivative of -q**7/2 + q**6/2 + 3*q**5/10 - 15*q. Factor f(w).
-3*w**3*(w - 1)*(7*w + 2)
Let b(u) be the third derivative of u**6/360 - u**4/24 - 2*u**3/3 + 3*u**2. Let a(t) be the first derivative of b(t). Factor a(w).
(w - 1)*(w + 1)
Let v(c) be the first derivative of 12*c**4 - 76*c**3/3 - 24*c**2 + 16*c + 2. Find j, given that v(j) = 0.
-2/3, 1/4, 2
Let i be 10/(-14) + 3 - 2. Let j = 117/385 + -1/55. Suppose -i*h**3 + 0 + 0*h - j*h**2 = 0. Calculate h.
-1, 0
Let q(y) = 2*y**4 + 7*y**3 + 3*y**2 - 2*y + 5. Let z(k) = k**4 + 3*k**3 + k**2 - k + 2. Let r(f) = 2*q(f) - 5*z(f). Factor r(v).
-v*(v - 1)*(v + 1)**2
Let r(x) be the second derivative of 2*x - 1/7*x**3 + 1/14*x**4 + 1/7*x**2 - 1/70*x**5 + 0. Factor r(o).
-2*(o - 1)**3/7
Let y(m) = 10*m**2 - 50*m - 38. Let u(w) = 3*w**2 - 17*w - 13. Let j(n) = -14*u(n) + 5*y(n). Solve j(s) = 0 for s.
-1/2, 2
Let z = -74 + 297/4. Determine d, given that z - 1/2*d + 1/4*d**2 = 0.
1
Factor -6*o**2 - 64 + 67 - o - 2*o + 3*o**4 - 3*o**5 + 6*o**3.
-3*(o - 1)**3*(o + 1)**2
Let x(m) be the first derivative of -m**6/6 + m**5/5 + m**4/4 - m**3/3 - 5. Factor x(u).
-u**2*(u - 1)**2*(u + 1)
Suppose -27*l = -22*l. Let h(p) be the third derivative of 1/12*p**4 + 0*p**3 + 0*p - 1/30*p**6 + l + 3*p**2 + 1/168*p**8 + 0*p**7 + 0*p**5. Factor h(s).
2*s*(s - 1)**2*(s + 1)**2
Let g(r) = r**3 - 4*r**2 + r + 1. Let j be g(4). Let z = -3 + j. Find p, given that -6/5*p**z + 9/5*p - 6/5*p**3 - 3/5*p**5 - 3/5 + 9/5*p**4 = 0.
-1, 1
Let z(y) be the first derivative of -7*y**6/3 + 136*y**5/5 - 155*y**4/2 - 100*y**3/3 + 35. Factor z(x).
-2*x**2*(x - 5)**2*(7*x + 2)
Let n(x) = -2*x**2 + 10*x - 6. Suppose 0 = -7*b + 2*b - 45. Let g(v) = 8*v**2 - 41*v + 23. Let o(k) = b*n(k) - 2*g(k). Solve o(p) = 0.
2
Suppose 0 = 5*x, 3*z = 6*z + 4*x - 6. Factor -2/9*y**3 - 2/9*y**4 + 2/9*y**z + 2/9*y + 0.
-2*y*(y - 1)*(y + 1)**2/9
Let q be (-2)/14 + 290/70. Factor -2*j**2 + j**5 - 3*j + q*j**4 - j**4 - 4*j**3 + 6*j**3 - 1.
(j - 1)*(j + 1)**4
Let p(b) be the first derivative of -2*b**5/15 - b**4/3 + 2*b**2/3 + 2*b/3 - 6. Factor p(m).
-2*(m - 1)*(m + 1)**3/3
Let i(h) = h**2 - 7*h + 6. Let c(t) = 3*t - 7*t + t - 3 + 6*t. Let a(s) = -5*c(s) - 3*i(s). Factor a(d).
-3*(d - 1)**2
Factor -5*z**2 - 3 + 13*z - z**3 - 6 + 2.
-(z - 1)**2*(z + 7)
Let p(t) be the second derivative of t**5/10 + t**4/6 - t**3/3 - t**2 - 3*t. Find k, given that p(k) = 0.
-1, 1
Let v(o) = o**2 - 7*o + 2. Let j be v(7). Let g be j/(-7) - 20/(-35). Determine f, given that g*f**2 + 0*f + 0 - 2/7*f**4 + 0*f**3 = 0.
-1, 0, 1
Let m(a) be the second derivative of a**8/36960 - a**7/4620 + a**6/1320 - a**5/660 - a**4/4 - 2*a. Let l(t) be the third derivative of m(t). Factor l(f).
2*(f - 1)**3/11
Let u = 2513/122 + -6/61. Let v = u - 20. Factor -1/4*g**2 - v*g - 1/4.
-(g + 1)**2/4
Let z(a) be the third derivative of -2*a**7/735 + 2*a**6/105 - 2*a**5/35 + 2*a**4/21 - 2*a**3/21 + 10*a**2. Factor z(l).
-4*(l - 1)**4/7
Let q(t) = t**2 + 7*t + 8. Let m be -3 - (1 + -2 - -4). Let d be q(m). Factor 2/5*r**3 - 2/5*r**d + 0 + 0*r.
2*r**2*(r - 1)/5
Let h(b) be the third derivative of -b**5/100 + 3*b**4/20 + b**2 - 6. Determine r so that h(r) = 0.
0, 6
Determi