.
(z + 3)**2/6
Let h(p) be the first derivative of 2 + 1/2*p**3 - 3*p**2 + 1/4*p**4 - 13*p. Let a(o) be the first derivative of h(o). Factor a(f).
3*(f - 1)*(f + 2)
Let w(a) be the first derivative of a**5/20 + 9*a**4/8 + 7*a**3 - 12*a**2 - 19. Let v(z) be the second derivative of w(z). Suppose v(n) = 0. What is n?
-7, -2
Let b(k) be the first derivative of -4*k - 1/2*k**2 - 1/3*k**3 - 8 - 1/12*k**4. Let j(x) be the first derivative of b(x). Factor j(p).
-(p + 1)**2
Let r(a) = a**3 + 7*a**2 + a - 13. Let w be r(-6). Let h = w + -15. Factor 2/9*s**3 + 0 - 2/9*s + 0*s**h.
2*s*(s - 1)*(s + 1)/9
Factor -4*m - 9 + 1/4*m**2.
(m - 18)*(m + 2)/4
Let i be -4 - (-13588)/84 - 1/3. Let d = i - 157. Factor -d*v**3 + 0 + 0*v - 3/7*v**2.
-3*v**2*(v + 1)/7
Suppose 4*b - 13 - 51 = 0. Suppose 2*x - 1 = -4*q + 11, 4*q = -4*x + b. Factor -8*g**x + g + 0*g - g - 2*g.
-2*g*(4*g + 1)
Let u(h) be the third derivative of -h**5/100 + h**3/10 - 119*h**2. Find o such that u(o) = 0.
-1, 1
Let g(t) be the second derivative of t**6/2340 - t**5/390 - t**4/52 - 10*t**3/3 + 16*t. Let s(n) be the second derivative of g(n). Solve s(k) = 0 for k.
-1, 3
Let q be (-38)/44 + ((-305)/366)/((-2)/6). Factor q*a**3 + 56/11*a - 16/11 + 68/11*a**2.
2*(a + 2)**2*(9*a - 2)/11
Find q, given that -35/6*q - 5/6*q**5 + 37/3*q**2 + 16/3*q**4 - 12*q**3 + 1 = 0.
2/5, 1, 3
Let l(c) be the second derivative of c**4/120 + 7*c**3/30 + 2*c**2 + 9*c + 45. Solve l(v) = 0 for v.
-10, -4
Let a(k) = -k + 19. Let b be a(7). Find j such that -8*j**2 - 6*j**4 - 2*j + 3*j**5 - b*j**3 - 2*j**4 + 0*j**5 - 5*j**5 = 0.
-1, 0
Let d(n) = -3*n**5 - 13*n**3 + 40*n**2 - 48. Let z(k) = 7*k**5 - k**4 + 27*k**3 - 80*k**2 - k + 96. Let q(g) = -9*d(g) - 4*z(g). Solve q(u) = 0.
-3, -1, 2, 4
Let j(d) be the third derivative of d**5/210 - 2*d**4/21 + d**3/3 + 28*d**2 - 2. Determine i, given that j(i) = 0.
1, 7
Let j(g) = -4*g**4 + 4*g**3 - 14*g**2 + 8*g. Let l(i) = -3*i**4 + 5*i**3 - 13*i**2 + 7*i. Let f(z) = 2*j(z) - 3*l(z). Factor f(n).
n*(n - 5)*(n - 1)**2
Let -36*h**2 + 16*h + 250*h**3 - 16*h**2 + 6*h**4 - 240*h**3 = 0. Calculate h.
-4, 0, 1/3, 2
Let u(z) be the first derivative of -4*z**5/5 + 2*z**4 - 4*z**2 + 4*z + 77. Let u(t) = 0. Calculate t.
-1, 1
Let j(l) be the third derivative of -l**5/120 - 3*l**4/2 - 108*l**3 - 311*l**2. Factor j(y).
-(y + 36)**2/2
Let f be -21*2*1/(-3). Let l = 16 - f. Find s such that 10*s**2 - s**2 - l*s - 6*s**2 - s**3 = 0.
0, 1, 2
Suppose 1448*v = 1442*v + 18. Let a(i) be the second derivative of 7*i - 4/3*i**v + 0*i**2 + 4/3*i**4 + 0 + 1/15*i**6 - 1/2*i**5. Factor a(z).
2*z*(z - 2)**2*(z - 1)
Suppose -24 = -2*w - w. Suppose n = -3*n + w. Let 3*r**2 - 4*r**2 - n*r - r + 4*r + 2 = 0. What is r?
-1, 2
Let x = -13339 + 13342. Let -2/5 + 57/5*c**x - 1/5*c + 27/5*c**4 + 31/5*c**2 = 0. What is c?
-1, -1/3, 2/9
Solve -4/5*t - 2/5*t**2 + 1/10*t**5 + 3/5*t**3 + 1/2*t**4 + 0 = 0 for t.
-2, 0, 1
Let b(y) = -4*y + 32. Let h be b(7). Let a(m) be the first derivative of 1/5*m**5 + m - 2*m**2 + 5 + 2*m**3 - m**h. Factor a(k).
(k - 1)**4
Let g(w) = 3*w**2 - 43*w + 107. Let v be g(3). Let o(l) be the third derivative of 0 - 1/18*l**4 - 1/90*l**v + 0*l**3 + 0*l - 3*l**2. Solve o(y) = 0 for y.
-2, 0
Factor 2888/5 - 228*k - 144/5*k**2 - 4/5*k**3.
-4*(k - 2)*(k + 19)**2/5
Suppose 19*f - 7*f = 29 - 5. Let 0 - 2/5*q**3 + 2/15*q**f + 0*q + 4/15*q**4 = 0. What is q?
0, 1/2, 1
Let u(v) = -953 + 953 + 15*v - 90*v**2 + 15*v**3. Let z(l) = -2*l**3 + 13*l**2 - 2*l. Let f(k) = -3*u(k) - 20*z(k). Factor f(b).
-5*b*(b - 1)**2
Let q(p) = 6*p + 114. Suppose -82 - 32 = 6*i. Let t be q(i). Determine g, given that t + 1/3*g**2 + 0*g + 1/2*g**3 = 0.
-2/3, 0
Let m(a) be the second derivative of -a**7/112 - 13*a**6/80 - 21*a**5/32 + 49*a**4/32 - 4*a - 7. Solve m(h) = 0 for h.
-7, 0, 1
Let y(b) be the third derivative of 0 + 1/15*b**3 - 1/30*b**4 + 1/150*b**6 - 1/150*b**5 + 0*b - 8*b**2. Factor y(d).
2*(d - 1)*(d + 1)*(2*d - 1)/5
Let b = -1/251 + 507/1255. Factor -8/5 + 0*g + b*g**2.
2*(g - 2)*(g + 2)/5
Let g be -101 + 99 + 6*1. Let s(z) be the first derivative of 5 + 2/25*z**5 - 4/5*z - z**2 + 1/10*z**g - 2/5*z**3. Factor s(q).
2*(q - 2)*(q + 1)**3/5
Suppose -u - u = -8. Factor -42*a - a**3 + a**3 - 2*a**3 - 8*a**2 + 50*a + 2*a**u.
2*a*(a - 2)*(a - 1)*(a + 2)
Let d(m) be the second derivative of m**5/8 - 5*m**4/3 - 95*m**3/12 - 25*m**2/2 - 2*m + 3. Factor d(s).
5*(s - 10)*(s + 1)**2/2
Let w(i) be the second derivative of i**5/20 + i**4/12 + i**3/6 - 43*i. Let o(k) = -5*k**3 - 3*k**2 + k + 3. Let z(d) = -o(d) - 4*w(d). Factor z(l).
(l - 3)*(l + 1)**2
Suppose -3*m + 2*z = -0 + 1, 5*m = 3*z. Factor -4 - 2*j**4 - 8*j + 5*j**m + 0*j**2 + 2*j**2 + j**2.
-(j - 2)**2*(j + 1)*(2*j + 1)
Let h(k) be the second derivative of -k**4/108 - 13*k**3/27 - 169*k**2/18 - 11*k + 1. Factor h(z).
-(z + 13)**2/9
Let j = 61/121 - 1/242. Let -j + 3/2*x + 1/2*x**3 - 3/2*x**2 = 0. Calculate x.
1
Suppose a = 2*d - 7, d + 0*a = a + 5. Find v, given that 5*v - 9*v + 2 + v**2 + v**d = 0.
1
Factor 116/9*s + 0 + 4/9*s**2.
4*s*(s + 29)/9
Let w(i) be the second derivative of 0 + 0*i**3 + 19*i + 0*i**4 + 0*i**2 - 1/20*i**5. Find u, given that w(u) = 0.
0
Let k be ((-10)/(-6))/((-2)/(-6)). Suppose -k*v + 5*w = -35, 4*w = -6*v + 2*v - 12. Factor -5 - 2*u + 7*u - u**v + 3 - 2*u.
-(u - 2)*(u - 1)
Let r(a) be the third derivative of -a**6/180 - a**5/36 + a**4/18 + 2*a**3/3 + 12*a**2 + a. Find k such that r(k) = 0.
-2, 3/2
Let o(f) be the third derivative of -f**5/90 - 23*f**4/6 - 529*f**3 + 2*f**2 + 199. Factor o(j).
-2*(j + 69)**2/3
Determine y so that 7*y**5 - 3*y**5 + 3880*y**2 + 1511*y + 399 + 2093*y + 148*y**4 + 0*y**5 + 1576*y**3 + 757 = 0.
-17, -1
Let f(t) = 3*t**3 - 8*t**2 - 173*t - 185. Let d(z) = 3*z**3 - 12*z**2 - 174*z - 186. Let l(h) = -7*d(h) + 6*f(h). Factor l(j).
-3*(j - 16)*(j + 2)**2
Suppose 0*s - 2*s = -4. Find y, given that -17*y**2 + 2*y**5 + 9*y**4 + 15*y**s - 19*y**2 - 5*y**5 + 12 + 3*y**3 = 0.
-1, 1, 2
Let f(z) be the first derivative of z**4/16 - 11*z**3/12 - z**2/8 + 11*z/4 - 196. Solve f(j) = 0 for j.
-1, 1, 11
Let w be 6/24 - (1 + 6/(-8)). Let t(l) be the first derivative of -4/3*l**3 + 3 + 2*l**5 - 3/2*l**4 + w*l + 0*l**2. Determine m so that t(m) = 0.
-2/5, 0, 1
Factor 338 - 1495*k - 233/2*k**2 - 9/4*k**3.
-(k + 26)**2*(9*k - 2)/4
Let h(g) be the first derivative of g**4/16 - 5*g**3/4 + 27*g**2/8 - 13*g/4 + 153. Solve h(x) = 0 for x.
1, 13
Let q = 11 - 6. Let s(h) = -h**3 - 9*h**2 - 16*h - 6. Let c be s(-7). Find y such that -7*y**3 - 12*y**5 + 4*y - c*y**2 - q*y**3 + 26*y**4 + 2*y**2 = 0.
-1/2, 0, 2/3, 1
Factor -4/5 - 2*h**2 + 14/5*h.
-2*(h - 1)*(5*h - 2)/5
Let k = 53 + -47. Solve 6*l**2 - 10*l - k*l**2 - 5*l**2 + 15 = 0.
-3, 1
Let f(m) be the second derivative of m**6/600 + 2*m**5/75 + 13*m**4/120 + m**3/5 - 10*m**2 + 4*m. Let h(o) be the first derivative of f(o). Factor h(n).
(n + 1)**2*(n + 6)/5
Let p be (-5)/(-15*2) - (-115)/966. Factor 0 + p*c**3 + 2/7*c**2 + 0*c.
2*c**2*(c + 1)/7
Let u be -1*(5 - 14 - -9). Let l(a) be the first derivative of -1/36*a**4 + 1/27*a**3 + 9 + 0*a + u*a**2. Solve l(t) = 0 for t.
0, 1
Let c(z) be the first derivative of 3*z**5/20 - 2*z**3 + 13*z + 4. Let p(x) be the first derivative of c(x). Factor p(y).
3*y*(y - 2)*(y + 2)
Let b(s) be the first derivative of -2/3*s**3 + 2/15*s**5 + 1/12*s**4 - s**2 + 0*s - 2 - 1/20*s**6. Let y(p) be the second derivative of b(p). Factor y(i).
-2*(i - 1)**2*(3*i + 2)
Let f = -5 + 20. Let a be f/6*(-4)/6*-3. Factor -h + 1/2*h**4 + 3/4*h**3 - h**2 - 1/4*h**a + 0.
-h*(h - 2)**2*(h + 1)**2/4
Suppose -160*a**2 + 747*a**3 - 762*a**3 + 5*a**4 - 300*a + 29 - 189 = 0. Calculate a.
-2, -1, 8
Let s(v) be the first derivative of 1/5*v**3 + v + 0*v**2 - 1/20*v**4 - 1. Let b(l) be the first derivative of s(l). Factor b(u).
-3*u*(u - 2)/5
What is c in 2/5*c**2 + 8/15*c - 2/15*c**3 - 8/5 = 0?
-2, 2, 3
Let n(u) be the first derivative of 21*u**5/5 + 99*u**4/4 + 39*u**3 + 21*u**2/2 - 18*u + 175. Factor n(g).
3*(g + 1)**2*(g + 3)*(7*g - 2)
Let q = 1756 - 3511/2. Factor 0*z + z**2 - 1/2 - q*z**4 + 0*z**3.
-(z - 1)**2*(z + 1)**2/2
Let f be (1 - 0)/1 + 1. Let g be (-3)/(-6)*(-3 + -2 - -4)/(-1). Factor 1/2*n + n**f - 1/2*n**4 + g*n**5 - n**3 - 1/2.
(n - 1)**3*(n + 1)**2/2
Let c(l) be the third d