 6)/8
Let o = 22 - 21. Let v be (-1 + -5)*(-1)/2. Solve -17/4*k**2 - 9/4*k**5 - o + 21/4*k**4 - 7/4*k**v + 4*k = 0.
-1, 2/3, 1
Let b(c) = -c**3 + 3*c**2 - 3*c - 3. Let n(y) = -4*y**2 + 4*y + 4. Let j(i) = 4*b(i) + 3*n(i). Let j(l) = 0. Calculate l.
0
Find a, given that 10/23*a**2 - 2/23*a + 0 - 6/23*a**3 - 10/23*a**4 + 8/23*a**5 = 0.
-1, 0, 1/4, 1
Let w(l) = l**3 + 7*l**2 + 6*l. Let r(a) = -2*a**3 - 13*a**2 - 11*a. Let n(v) = 6*r(v) + 14*w(v). Factor n(g).
2*g*(g + 1)*(g + 9)
Let b(n) be the third derivative of -n**5/690 + 10*n**2. Determine u so that b(u) = 0.
0
Let g(k) be the first derivative of -k**7/14 - k**6/5 - 3*k**5/20 + 5*k + 2. Let n(q) be the first derivative of g(q). Factor n(r).
-3*r**3*(r + 1)**2
Let l(i) be the second derivative of 7*i**6/180 + i**5/60 - 7*i**4/72 - i**3/18 + 14*i. Factor l(v).
v*(v - 1)*(v + 1)*(7*v + 2)/6
Let f(v) be the second derivative of -3/2*v**2 + 10*v + 0 - 1/12*v**4 - 2/3*v**3. Factor f(s).
-(s + 1)*(s + 3)
Let k(g) be the second derivative of 1/9*g**7 + 2/9*g**3 - 5/18*g**4 + 0*g**2 + 1/9*g**6 - 3/10*g**5 + 0 - 2*g. Suppose k(p) = 0. What is p?
-1, 0, 2/7, 1
Suppose 4*l + 3*s - 9 = 0, -3*l + 0*s + 12 = 4*s. Let b(u) be the second derivative of l + 2/15*u**3 + 1/30*u**4 + 0*u**2 - 1/5*u**5 + 4*u. Factor b(i).
-2*i*(2*i - 1)*(5*i + 2)/5
Let q = 70 + -349/5. Let a(z) be the second derivative of -3*z - 1/6*z**4 + 0 + q*z**5 + 0*z**2 - 1/3*z**3. Determine l so that a(l) = 0.
-1/2, 0, 1
Let f = -6 + 8. Let v be -3 + f + (-4)/(-1). Factor -2*t - 3*t**2 + 3*t**v - 5*t + 3 + 3*t + t.
3*(t - 1)**2*(t + 1)
Let c(y) be the first derivative of y**6/360 - y**5/60 - 4*y**3/3 + 2. Let k(l) be the third derivative of c(l). Factor k(m).
m*(m - 2)
Let r(t) be the first derivative of -2/7*t + 8 + 1/21*t**6 - 2/35*t**5 + 4/21*t**3 + 1/7*t**2 - 1/7*t**4. What is q in r(q) = 0?
-1, 1
Let u be 20*(15/(-6))/5. Let l be (2/(-1))/(u/6). Solve -2/5*s - 4/5 + l*s**2 = 0 for s.
-2/3, 1
Let r = 5 - 0. Let a(h) be the third derivative of 1/240*h**r + 1/240*h**6 + 0*h**4 + 1/840*h**7 + h**2 + 0 + 0*h + 0*h**3. Factor a(w).
w**2*(w + 1)**2/4
Let v(p) be the second derivative of -1/10*p**2 + 0 - 2*p - 1/150*p**6 + 1/30*p**4 - 1/210*p**7 - 1/30*p**3 + 1/50*p**5. What is i in v(i) = 0?
-1, 1
Let x(k) = -5*k**3 + 3*k**2 - 7*k. Suppose -2*b + 0*b = 6. Let o(g) = -g**3 - g**2 - g. Let m = 1 - 0. Let j(y) = b*o(y) + m*x(y). Factor j(p).
-2*p*(p - 2)*(p - 1)
Factor 1/2*h**2 - h + 1/2.
(h - 1)**2/2
Determine i so that 0 + 3/5*i**3 - 3*i**2 + 18/5*i = 0.
0, 2, 3
Determine v, given that 1/7*v**2 + 7 - 2*v = 0.
7
Let b(q) = 4*q - 4. Let c(d) = -5*d + 4. Let a(j) = 6*b(j) + 5*c(j). Let t be a(-4). What is w in 0*w**2 + t - 2/5*w**3 - 2/5*w**5 + 4/5*w**4 + 0*w = 0?
0, 1
Suppose 0 = 4*m - 5*w + 20, 4*w - 20 = -m - w. Let o = 0 - 0. Solve 1/4*g**3 + o*g + 0*g**2 + m + 1/4*g**4 = 0 for g.
-1, 0
Let n = -26 + 29. Let -1/3*y**2 - y**n + 1/3 + y = 0. Calculate y.
-1, -1/3, 1
Let c = 16 - 31/2. Factor -c*m**3 + 0 + 1/2*m**2 - 1/2*m**4 + 1/2*m.
-m*(m - 1)*(m + 1)**2/2
Let p(v) be the first derivative of -v**4/18 - 4*v**3/27 + 7*v**2/9 - 8*v/9 - 4. Factor p(s).
-2*(s - 1)**2*(s + 4)/9
What is b in 0*b - 20/3*b**3 - 7/3*b**4 - 4/3*b**2 + 3*b**5 + 0 = 0?
-1, -2/9, 0, 2
Let g(q) = -q + 7. Let s be g(7). Let o = -5 - -8. Let 0*j - j**4 - 5/3*j**5 + 2/3*j**o + s + 0*j**2 = 0. What is j?
-1, 0, 2/5
Suppose -35/2*u**2 - 5 + 35/2*u + 5*u**3 = 0. What is u?
1/2, 1, 2
Let j(v) be the second derivative of -5*v**7/42 + 2*v**6/3 - v**5 - 5*v**4/6 + 25*v**3/6 - 5*v**2 + 31*v. Let j(k) = 0. Calculate k.
-1, 1, 2
Let m(p) = 5*p + 9. Let a be m(-6). Let l(d) = 51*d**2 + 9*d - 21. Let c(k) = 5*k**2 + k - 2. Let x(q) = a*c(q) + 2*l(q). Suppose x(i) = 0. Calculate i.
-1, 0
Let r be 835/(-7) - (6 - 8). Let z = -117 - r. Factor 0 - z*f - 2/7*f**4 + 2/7*f**3 + 2/7*f**2.
-2*f*(f - 1)**2*(f + 1)/7
Let l be (20/(-8) + 1)*-2. Let 2/7*m**4 - 2/7*m**2 + 10/7*m**l - 8/7 - 16/7*m - 2/7*m**5 = 0. Calculate m.
-1, 2
Let w(u) = u**3 - 8*u**2 + 8*u - 4. Let z be w(7). What is j in j**3 + 4*j**2 + 3*j**3 + 0*j**z + j - j**3 = 0?
-1, -1/3, 0
Suppose -f**2 + f + 1/3*f**3 - 1/3 = 0. What is f?
1
Let a be (-66)/(-4*3/162). Let h be (-6)/33 + 360/a. Let 2/9*x**3 + h*x**2 + 0 - 4/9*x = 0. Calculate x.
-2, 0, 1
Factor 1/6*o + 0 + 1/6*o**2 - 1/6*o**3 - 1/6*o**4.
-o*(o - 1)*(o + 1)**2/6
Let s(a) be the first derivative of 3*a**4/7 - 17*a**3/7 - 24*a**2/7 + 15*a/7 + 3. Suppose s(w) = 0. What is w?
-1, 1/4, 5
Let h(g) be the second derivative of -g**8/8960 - g**7/1120 - g**4/3 - 5*g. Let p(o) be the third derivative of h(o). Factor p(j).
-3*j**2*(j + 3)/4
Let m(i) be the second derivative of -1/110*i**5 - 4/11*i**2 - 8/33*i**3 + 0 - 5/66*i**4 - 6*i. Find p such that m(p) = 0.
-2, -1
Let f be (122/40 - 2) + 1/(-4). Determine x, given that 0*x - 2*x**3 + f*x**2 + 0 + 2*x**5 - 4/5*x**4 = 0.
-1, 0, 2/5, 1
Let i(x) be the first derivative of x**7/126 + x**6/90 - x**5/60 - x**4/36 - 6*x + 1. Let t(s) be the first derivative of i(s). Find l such that t(l) = 0.
-1, 0, 1
Factor 18*y**4 + 21*y**2 + 41*y**2 + 38*y**3 - 6*y - 36 - 7*y**4 - 5*y**4.
2*(y + 1)*(y + 3)**2*(3*y - 2)
Let y(p) be the first derivative of -p**3/12 - p**2/2 - 3*p/4 - 1. Find u, given that y(u) = 0.
-3, -1
Let n(a) be the first derivative of -a**5 + 15*a**4/4 + 5*a**3/3 - 15*a**2/2 + 13. Suppose n(z) = 0. What is z?
-1, 0, 1, 3
Let d(g) be the second derivative of -g**6/75 - g**5/10 - g**4/5 + 4*g**3/15 - 3*g**2/2 - g. Let o(q) be the first derivative of d(q). Factor o(n).
-2*(n + 2)**2*(4*n - 1)/5
Let p(v) be the third derivative of 0*v**3 + 0*v + 0 - 1/270*v**5 + 1/54*v**4 - 1/540*v**6 + 4*v**2. Let p(j) = 0. What is j?
-2, 0, 1
Let u(w) be the first derivative of w**5/60 + w**4/18 + 4*w - 6. Let m(v) be the first derivative of u(v). Factor m(k).
k**2*(k + 2)/3
Let b be (-13)/(-6) + (-1)/6. Let p(c) be the third derivative of 0*c**4 + 0 + 1/10*c**5 + 0*c**3 - 1/40*c**6 - 3*c**b + 0*c. Factor p(d).
-3*d**2*(d - 2)
Suppose -75 + 72 = -t. Factor 0*x**2 + 0*x**t + 0*x + 0 + 0*x**4 - 1/8*x**5.
-x**5/8
Suppose -5*y + 2*y = -9. Suppose 5*k - 34 = -g, 7 = 3*g - 6*k + 2*k. Determine d so that 4 + d**2 + 4*d + 6*d - g*d**2 - 6*d**y = 0.
-2, -1/3, 1
Suppose 8 = 5*j - 7. Suppose -j*b = -2 - 4. Factor -2/7*t - 2/7*t**b + 0.
-2*t*(t + 1)/7
Suppose 5 = -n + 2*n. Suppose i = -b, 10*i - n*i - 2 = -4*b. Factor -i*j**5 + 0*j**4 - 5*j**4 + 2*j**4 + 2*j**2 + j**4 + 2*j**3.
-2*j**2*(j - 1)*(j + 1)**2
Let b(s) be the third derivative of 5*s**2 + 0*s + 0*s**7 + 1/120*s**6 - 1/672*s**8 + 0 + 0*s**5 - 1/48*s**4 + 0*s**3. Factor b(x).
-x*(x - 1)**2*(x + 1)**2/2
Factor 0*o + 1/4*o**2 - 1.
(o - 2)*(o + 2)/4
Let j(g) be the first derivative of -g**6/14 - 4*g**5/7 - 47*g**4/28 - 2*g**3 - 2*g**2/7 + 8*g/7 - 19. Suppose j(w) = 0. Calculate w.
-2, -1, 1/3
Let g be (-150)/12 + (-2)/(-4). Let r = 15 + g. Factor 0 - 2/3*k**2 - 2/3*k**r + 0*k.
-2*k**2*(k + 1)/3
Let i(w) be the third derivative of -w**6/120 - w**5/20 + w**4/24 + w**3/2 - 43*w**2. Suppose i(v) = 0. Calculate v.
-3, -1, 1
Let r(i) be the first derivative of -5 + 1/6*i**2 + 2/9*i**3 + 1/12*i**4 + 0*i. Factor r(c).
c*(c + 1)**2/3
Let y be (-6)/(-4)*(-2)/(-6). Let o(d) be the first derivative of y*d**2 - 1/3*d**3 + 1 + 0*d. Factor o(j).
-j*(j - 1)
Let y(p) = 3*p**4 - 123*p**3 + 619*p**2 - 896*p + 397. Let d(g) = -2*g**4 + 62*g**3 - 310*g**2 + 448*g - 198. Let v(m) = 5*d(m) + 2*y(m). Factor v(x).
-4*(x - 7)**2*(x - 1)**2
Let m be (0 - 6/(-8))*(-32)/(-30). Factor w - 1/5*w**5 - 2/5*w**2 + 4/5*w**4 - 2/5 - m*w**3.
-(w - 2)*(w - 1)**3*(w + 1)/5
Let h(b) = -b**2 - 18*b - 29. Let a be h(-16). Solve 1/3 + q**2 - q - 1/3*q**a = 0 for q.
1
Let d(g) be the third derivative of -g**7/560 + 3*g**6/320 - g**5/160 - 3*g**4/64 + g**3/8 + 31*g**2. Let d(s) = 0. What is s?
-1, 1, 2
Let j(k) be the third derivative of -k**8/1512 + k**7/315 - k**6/270 - k**5/135 + k**4/36 - k**3/27 - 6*k**2. Factor j(w).
-2*(w - 1)**4*(w + 1)/9
Let o(y) be the third derivative of y**9/5040 + 3*y**8/2240 + y**7/280 + y**6/240 + 7*y**4/24 + 2*y**2. Let r(c) be the second derivative of o(c). Factor r(l).
3*l*(l + 1)**3
Let j(p) = -13*p**3 + 19*p**2 - 11*p + 5. Let z(t) = -20*t**3 + 28*t**2 - 16*t + 8. Let b(g) = 8*j(g) - 5*z(g). Factor b(q).
-4*q*(q 