ve of -w**2 + 0*w + 0 + 0*w**4 - 1/70*w**7 + 0*w**6 + 0*w**3 + 0*w**5 + 1/112*w**8. Let z(p) = 0. Calculate p.
0, 1
Let f(j) be the second derivative of 0*j**2 + 1/21*j**7 + 3/10*j**5 + 3*j - 1/6*j**4 - 1/5*j**6 + 0 + 0*j**3. Determine n, given that f(n) = 0.
0, 1
Suppose 0 = 99*s - 95*s. Let -38/7*n**4 + 8/7*n**2 + 0 + 30/7*n**5 + 0*n**3 + s*n = 0. What is n?
-2/5, 0, 2/3, 1
Let g(w) be the second derivative of w**4/12 + w**3/3 - 3*w**2/2 + w. Factor g(l).
(l - 1)*(l + 3)
Let b(s) be the second derivative of -4*s + 0 + 0*s**2 + 1/15*s**3 - 1/30*s**4. Factor b(a).
-2*a*(a - 1)/5
Let z = 25 + -25. Let r(v) be the third derivative of -1/36*v**4 + z*v + 0 - 1/90*v**5 + 0*v**3 + v**2. Suppose r(a) = 0. What is a?
-1, 0
Let h(m) be the third derivative of 1/8*m**6 + 7/30*m**5 + 1/6*m**4 + 3/140*m**7 + m**2 + 0*m + 0 + 0*m**3. Let h(t) = 0. Calculate t.
-2, -2/3, 0
Let c(v) be the third derivative of 0 + 1/240*v**5 + 3*v**2 - 1/12*v**3 + 1/96*v**4 + 0*v. What is x in c(x) = 0?
-2, 1
Let p be 0 - (-3 - (-3)/3). Factor -2*r**2 - r**3 + p*r**2.
-r**3
Determine x, given that -1032 + 4*x + 0*x**2 + 4*x**2 + 1024 = 0.
-2, 1
Let y(a) be the third derivative of -a**8/110880 - a**7/6930 - a**6/990 - 3*a**5/20 + 8*a**2. Let p(c) be the third derivative of y(c). Solve p(m) = 0.
-2
Let t(k) be the first derivative of 8/15*k**5 - 25/12*k**4 - 1/18*k**6 - 14/3*k**2 - 1 + 38/9*k**3 + 8/3*k. Suppose t(z) = 0. Calculate z.
1, 2
Factor -4*z**2 - 1/2 - 1/4*z**5 - 3/2*z**4 - 9/4*z - 7/2*z**3.
-(z + 1)**4*(z + 2)/4
Let h(v) be the first derivative of v**6/75 - v**4/30 - v + 9. Let w(n) be the first derivative of h(n). What is u in w(u) = 0?
-1, 0, 1
Let i(g) be the second derivative of -g**7/147 - g**6/21 - g**5/10 + g**4/42 + 8*g**3/21 + 4*g**2/7 - 19*g. Solve i(j) = 0.
-2, -1, 1
Let j(w) be the second derivative of -6*w + 3/20*w**5 - 1/14*w**7 + 1/4*w**4 + 0*w**3 + 0 - 1/10*w**6 + 0*w**2. Find p, given that j(p) = 0.
-1, 0, 1
Suppose 3*k = 10 - 4. Let x(r) be the second derivative of r + 1/24*r**4 + 0 + 1/3*r**3 + r**k. Factor x(s).
(s + 2)**2/2
Let i(f) = -f. Let g = 2 - 4. Let s be i(g). Find b such that -b**2 + 0*b**s + 0*b**2 + b**4 - b + b**3 = 0.
-1, 0, 1
Let h(o) be the first derivative of o**4/6 - o**2 - o - 1. Let b(v) be the first derivative of h(v). Suppose b(k) = 0. Calculate k.
-1, 1
Let p(b) be the first derivative of 2*b**3/15 + 2*b**2/5 + 2. Factor p(x).
2*x*(x + 2)/5
Let u(g) = -2*g**4 - 2*g**3 - 2*g**2 + 2*g - 2. Let j(d) = d**3 + d - 1. Let n be -1 - 7/(-1) - 4. Let q(i) = n*j(i) - u(i). Factor q(x).
2*x**2*(x + 1)**2
Let a(o) be the first derivative of -o**3 + 8. What is k in a(k) = 0?
0
Let z(t) be the first derivative of -5*t**6/6 + 3*t**5 - 20*t**3/3 - 10. Let z(y) = 0. Calculate y.
-1, 0, 2
Let n(v) be the third derivative of -1/6*v**4 - 3*v**2 + 0 + 2/3*v**3 + 0*v + 1/60*v**5. Find o, given that n(o) = 0.
2
Let a(x) = -5*x**2 + 12*x - 7. Let w(j) = -2*j**2 + 4*j - 2. Suppose 3*l + 0*l = -21. Let d(u) = l*w(u) + 2*a(u). Solve d(k) = 0 for k.
0, 1
Suppose 3*v = -3*h - 18, 3*h - 5*v = -11 + 33. Let x = h + 3. Suppose -9*w**3 + 9*w**3 - x*w**4 + 2*w**2 = 0. Calculate w.
-1, 0, 1
Let s(x) = 24*x**3 + 39*x**2 + 48*x + 33. Let z(v) = -3*v**3 - 5*v**2 - 6*v - 4. Let o(h) = 4*s(h) + 33*z(h). Determine t so that o(t) = 0.
-2, -1, 0
Suppose -2*m - 6 = -5*f - m, 14 = 3*f + 2*m. Let d be ((-6)/(-42)*7)/((-5)/(-3)). Factor 1/5 - 1/5*w**3 + 3/5*w**f - d*w.
-(w - 1)**3/5
Let d(g) be the third derivative of g**6/900 - g**5/150 - 13*g**2. Factor d(j).
2*j**2*(j - 3)/15
Let h(j) be the second derivative of j**5/90 - j**3/9 - 2*j**2/9 - 6*j. Determine r, given that h(r) = 0.
-1, 2
Suppose -163*s + 164*s - 2 = 0. What is x in 8/9 + 10/9*x**s + 16/9*x + 2/9*x**3 = 0?
-2, -1
Let l = 13 - 13. Find o, given that -3*o**3 - 7*o**2 + 4 - 3*o**3 + 3*o**3 + l*o**3 = 0.
-2, -1, 2/3
Let l(u) be the first derivative of -u**3/3 + 2*u**2 - u + 1. Let n be l(3). Factor 18/7*p - n*p**2 - 4/7.
-2*(p - 1)*(7*p - 2)/7
Let r(h) be the second derivative of -h**7/70 - 11*h**6/150 - 3*h**5/20 - 3*h**4/20 - h**3/15 - 8*h. Factor r(n).
-n*(n + 1)**3*(3*n + 2)/5
Let o(f) be the third derivative of f**5/240 - f**4/48 - f**3/8 + 4*f**2. Factor o(y).
(y - 3)*(y + 1)/4
Suppose -5*p + 0 = -5. Let h be (-8)/((-2)/p) + 1. Suppose -h + 2*u**2 + 5 - 2*u = 0. What is u?
0, 1
Factor 2/19*r**3 + 2/19*r**4 - 2/19*r**5 + 0 - 2/19*r**2 + 0*r.
-2*r**2*(r - 1)**2*(r + 1)/19
Let h(b) = b**3 + b**2 + b. Let t(s) = -2*s**4 - 10*s**3 + 2*s**2 - 2*s - 6. Let v(c) = -6*h(c) - t(c). Factor v(o).
2*(o - 1)**2*(o + 1)*(o + 3)
Suppose 4*a = 3*g + a - 18, -2*g - 9 = 5*a. Let j be 7/g*4/7. Factor -4/3*q**3 + j*q - 1/3*q**2 + 1/3.
-(q - 1)*(q + 1)*(4*q + 1)/3
Factor -4/3*k**2 + 8/3*k - 16/9 + 2/9*k**3.
2*(k - 2)**3/9
What is l in -2*l + 1 + 4*l - 1 + 2*l**2 - 4 = 0?
-2, 1
Let 2/7 + 1/7*q**3 - 2/7*q**2 - 1/7*q = 0. What is q?
-1, 1, 2
Let a(h) = -h**3 + 5*h**2 + 7*h + 1. Let b be a(6). Let i(v) = 8*v**2 + 9*v - 7. Let f(n) = 7*n**2 + 8*n - 6. Let p(u) = b*f(u) - 6*i(u). Solve p(w) = 0.
-2, 0
Let k(u) = 14*u**3 - 6*u**2 - 14*u + 6. Let l(p) = -9*p**3 + 4*p**2 + 9*p - 4. Let h(s) = -5*k(s) - 8*l(s). Determine a, given that h(a) = 0.
-1, 1
Suppose 1/4*a**3 + 1/2*a**4 + 0*a - 1/2*a**2 + 0 - 1/4*a**5 = 0. Calculate a.
-1, 0, 1, 2
Let m(d) be the first derivative of 7 + 1/25*d**5 - 1/30*d**6 - 1/15*d**3 + 1/20*d**4 + 0*d**2 + 0*d. Solve m(c) = 0.
-1, 0, 1
Let r(b) be the first derivative of 2*b**5/35 - 3*b**4/7 + 26*b**3/21 - 12*b**2/7 + 8*b/7 - 3. Factor r(v).
2*(v - 2)**2*(v - 1)**2/7
Let x(v) be the first derivative of -4*v + 3*v**2 + 2 - 3/2*v**3 + 1/4*v**4. Let l(h) be the first derivative of x(h). Factor l(b).
3*(b - 2)*(b - 1)
Let m(c) be the third derivative of -11*c**5/6 + 35*c**4/24 + 5*c**3/3 + 15*c**2. Factor m(y).
-5*(2*y - 1)*(11*y + 2)
Let b = -1 + 3. Factor 4*i - i**4 - 18*i**b - 3 + 8*i + 2*i**4 - 4*i**4 + 12*i**3.
-3*(i - 1)**4
Suppose 2*f - 20 = 2. Find a such that 9*a + a**2 + a**2 - f*a = 0.
0, 1
Suppose 2*i - 4*b - 7 - 23 = 0, 25 = i - 4*b. Suppose d + 4*n = 34 - 12, 4*d = -i*n + 44. Suppose -4*q - 2/3*q**2 - d = 0. Calculate q.
-3
Find v, given that 0*v**4 + 3*v**3 - 3*v**5 + 0*v**4 = 0.
-1, 0, 1
Suppose -q - 3*s = 2*s + 27, -5*s - 19 = -3*q. Let v be q/(-8)*(-24)/(-9). Factor 2/3*p**4 - 2*p + 2*p**3 - 4/3 + v*p**2.
2*(p - 1)*(p + 1)**2*(p + 2)/3
Let t = -173 + 2596/15. Let h(s) be the second derivative of 4*s - 2/3*s**3 - 9/20*s**5 - t*s**6 + 0 + 1/14*s**7 + 0*s**2 + s**4. Suppose h(a) = 0. Calculate a.
-2, 0, 2/3, 1
Let r(n) be the second derivative of 0 + 2/15*n**3 - 4*n - 1/5*n**2 - 1/30*n**4. Find i such that r(i) = 0.
1
Suppose 3/2*g + 0 + 9/2*g**2 + 3*g**3 = 0. Calculate g.
-1, -1/2, 0
Let r(d) be the third derivative of 0*d + 1/300*d**6 + 0*d**4 + 0*d**3 + 1/150*d**5 - 8*d**2 + 0. Solve r(u) = 0.
-1, 0
Factor 36/7*d + 3/7*d**3 - 24/7 - 18/7*d**2.
3*(d - 2)**3/7
Let f be 18*1 - (6 - 7). Factor -2*i**5 + 3*i**5 + 19 - f - i**3.
i**3*(i - 1)*(i + 1)
Suppose -1/6 - 1/3*d - 1/6*d**2 = 0. Calculate d.
-1
Factor 7*m - 2*m + 5*m - 5 - 5*m**2.
-5*(m - 1)**2
Find t, given that 6*t + 7*t**3 + 0*t**2 + 5*t**2 - 18 - 5*t**3 + 5*t**2 = 0.
-3, 1
Let s = 186 - 186. Let 8/3*h - 8/3*h**2 + s + 2/3*h**3 = 0. Calculate h.
0, 2
Let g(h) be the third derivative of -h**8/784 - 3*h**7/490 + h**6/280 + h**5/20 - 2*h**3/7 + 6*h**2. Find i such that g(i) = 0.
-2, -1, 1
Let v = 8 - 8. Suppose 5*h - 3*h = v. Factor h*p - 1/4 + 1/4*p**2.
(p - 1)*(p + 1)/4
Let l = -148 - -153. Let i(u) be the first derivative of 1/5*u**3 + 1/25*u**l + 3/20*u**4 + 0*u + 1/10*u**2 - 1. Find t, given that i(t) = 0.
-1, 0
Let g = -72/41 + 10841/6150. Let z(o) be the third derivative of 0 + 0*o - g*o**5 - 1/30*o**4 - 1/15*o**3 + o**2. Solve z(f) = 0 for f.
-1
Let g = -209 - -641/3. Let r(y) be the first derivative of 2 + 17/6*y**4 + g*y**3 + 2/3*y**5 + 11/3*y**2 + 4/3*y. Factor r(x).
2*(x + 1)**3*(5*x + 2)/3
Let c = 12 + -9. Find t such that -t**3 - 3*t**4 - c*t**4 + 3*t**5 + 4*t**3 = 0.
0, 1
Let f(x) be the second derivative of -x**7/84 + x**6/60 + x**5/20 - x**4/12 - x**3/12 + x**2/4 + 10*x. Factor f(p).
-(p - 1)**3*(p + 1)**2/2
Let v(u) be the first derivative of -u**8/112 - u**7/70 + u**6/20 - 3*u**2/2 + 2. Let q(s) be the second derivati