is z in v(z) = 0?
-2, 0
Let i(p) be the first derivative of -1/2*p**2 - 1/2*p + 1/10*p**5 + 0*p**3 + 1/4*p**4 + 3. Solve i(r) = 0.
-1, 1
Let a(t) be the second derivative of -21*t**5/20 + 3*t**4 + 2*t**3 + t. Factor a(c).
-3*c*(c - 2)*(7*c + 2)
Let h = 14/15 + -97/120. Factor 1/8 - 1/8*t**3 + h*t - 1/8*t**2.
-(t - 1)*(t + 1)**2/8
Factor 0 + 1/6*r**5 + 1/6*r**4 + 0*r**3 + 0*r + 0*r**2.
r**4*(r + 1)/6
Let c(a) be the first derivative of -9/2*a**2 + 2*a + 2/5*a**5 + 1 - 9/4*a**4 + 14/3*a**3. Let c(o) = 0. Calculate o.
1/2, 1, 2
Let y = -12 - -22. Let k be 8*(3 + y/(-4)). Solve -2*o - 27*o**2 - 11*o + 3*o**4 - 23*o**3 - 2 - 10*o**k = 0.
-1, -2/7
Let m(k) be the first derivative of -2*k**6/5 - 41*k**5/25 - 13*k**4/20 + 18*k**3/5 + 2*k**2 - 8*k/5 - 18. Suppose m(f) = 0. Calculate f.
-2, -2/3, 1/4, 1
Let k(m) be the third derivative of -1/6*m**3 - 3*m**2 + 0*m + 1/60*m**5 + 0*m**4 + 0. Factor k(i).
(i - 1)*(i + 1)
Let c = 1 - -1. Factor -2/5*u**c + 0 + 2/5*u.
-2*u*(u - 1)/5
Let t = -45/4 + 12. Factor -1/4*d**3 + 1/4*d - t*d**2 + 1/4 + 1/2*d**4.
(d - 1)**2*(d + 1)*(2*d + 1)/4
Find u, given that 6/5*u**2 - 3/5*u**5 - 12/5*u**4 - 12/5*u**3 + 3*u + 6/5 = 0.
-2, -1, 1
Suppose -2*t + 0 + 12 = 0. Suppose -i + t = 3. Factor 3*v**i + 2*v**2 - 2*v**3 - 3*v + 4*v.
v*(v + 1)**2
Let p(w) = -39*w**2 + 15*w + 24. Let d(r) = -8*r**2 + 3*r + 5. Let s(o) = -24*d(o) + 5*p(o). Determine n, given that s(n) = 0.
0, 1
Let u(v) be the third derivative of -v**8/168 - v**7/105 + 8*v**2. Factor u(h).
-2*h**4*(h + 1)
Let u = 2 - -1. Suppose 0 = -2*k - u*k. Factor n - 1/3*n**3 + k*n**2 - 2/3.
-(n - 1)**2*(n + 2)/3
Suppose -4*w + 0*w + 16 = 0. Let m(z) be the second derivative of -1/15*z**w - 1/5*z**3 + 2/5*z**2 - z + 3/50*z**5 + 0. Factor m(r).
2*(r - 1)*(r + 1)*(3*r - 2)/5
Let t(h) be the first derivative of -h**6/6 - h**5 - 3*h**4/2 - 7. Find u, given that t(u) = 0.
-3, -2, 0
Suppose -4*s + 9 = 3*g, -5*g = 5*s - 0*g - 10. Solve q - 3*q + 4*q - 2*q**s = 0 for q.
-1, 0, 1
Let d(z) be the first derivative of -z**4/4 + z**2/2 + 9. Find g such that d(g) = 0.
-1, 0, 1
Let p be 2/14 + (-4)/28. Let i = 5 - 3. Suppose p + 0*q**4 - 2/7*q - 2/7*q**5 + 4/7*q**3 + 0*q**i = 0. Calculate q.
-1, 0, 1
Suppose 4 = 5*z - 6. Suppose -d**2 + 4*d**z + 5*d**3 + d**2 - d = 0. Calculate d.
-1, 0, 1/5
Let d be (2 - 1) + (-1 - -2). Suppose 4*l - 6 = d. Factor l*b**3 + 10/7*b**2 - 4/7*b + 0.
2*b*(b + 1)*(7*b - 2)/7
Suppose -20 = 3*v + 2*v. Let z(t) = -t**3 - 3*t**2 + 2*t - 4. Let s be z(v). Factor r + r**2 - 3*r**2 + 2*r**3 - s*r**3 + 3*r**3.
r*(r - 1)**2
Let x(l) be the third derivative of l**7/105 - l**6/12 + l**5/5 - 39*l**2. Factor x(h).
2*h**2*(h - 3)*(h - 2)
Let k = 35/6 + -9/2. Factor 4/3 - 2*d**3 + 2*d - k*d**2.
-2*(d - 1)*(d + 1)*(3*d + 2)/3
Let p(v) = 12*v**2 + 24*v - 32. Let u(a) = a**2 + a. Let k(l) = -p(l) + 2*u(l). Let w(q) = 4*q**2 + 9*q - 13. Let m(i) = 5*k(i) + 12*w(i). Factor m(g).
-2*(g - 1)*(g + 2)
Let j(l) = 51*l**2 - 9*l. Let i = 11 - 32. Let o = 90 + -92. Let v(d) = -5*d**2 + d. Let k(w) = i*v(w) + o*j(w). Determine q, given that k(q) = 0.
0, 1
Let h be 1 + 24/(-5) + (-8 - -12). Let 0*p - 1/5*p**2 + h = 0. What is p?
-1, 1
Suppose 3*r - 6 = n - 0*r, 10 = -3*n + 5*r. Let b(l) be the third derivative of 0*l**5 - 1/108*l**4 + 0*l + 1/540*l**6 + 0 + n*l**3 - l**2. Factor b(w).
2*w*(w - 1)*(w + 1)/9
Suppose 0 = 2*m + 2*b - 14, -5*m + 8*b - 10*b + 20 = 0. Let 1/5*q**4 + 0*q**m - 2/5*q + 2/5*q**3 - 1/5 = 0. Calculate q.
-1, 1
Let v(x) be the second derivative of -x**4/5 - 16*x**3/15 - 8*x**2/5 - 20*x. Factor v(r).
-4*(r + 2)*(3*r + 2)/5
Let n(i) = 9*i**2 + 114*i + 36. Let c(o) = 5*o**2 + 57*o + 18. Let g(k) = -9*c(k) + 4*n(k). What is h in g(h) = 0?
-6, -1/3
Let y be (6/18)/((-2)/(-18)). Suppose 4*p = y*x + 11, -5*p - 2*x + 8 = -23. Factor -2*a**4 + a**4 - 3*a**5 - a**p.
-a**4*(4*a + 1)
Factor -2/7*o**3 + 6/7*o + 0*o**2 - 4/7.
-2*(o - 1)**2*(o + 2)/7
Let m(s) = s**2 - 7*s + 6. Let c be m(6). Let a(k) be the first derivative of 1/5*k**2 + 2 + c*k + 2/15*k**3. Let a(i) = 0. Calculate i.
-1, 0
Let c(d) be the second derivative of 0*d**2 - 1/90*d**5 + 1/54*d**4 + 0 + 0*d**3 - 2*d. Factor c(n).
-2*n**2*(n - 1)/9
Let d be 2/(-11) + (-36)/(-198). Let c(a) be the first derivative of 1/3*a**6 + 4/5*a**5 + 0*a + 1/2*a**4 + d*a**3 + 0*a**2 - 2. Factor c(g).
2*g**3*(g + 1)**2
Let u(i) be the second derivative of i**6/15 + 3*i**5/10 + i**4/2 + i**3/3 - 5*i. Factor u(v).
2*v*(v + 1)**3
Let b(f) be the third derivative of -f**6/30 + f**4/6 + 3*f**2. Solve b(t) = 0.
-1, 0, 1
Let u(n) = -3*n**4 + 3*n**3 + 6*n**2 - 4. Let g be 8/((-1)/(3/(-6))). Let m(h) = -h**4 + h**2 - 1. Let v(c) = g*m(c) - u(c). Let v(d) = 0. Calculate d.
-2, -1, 0
Let k = -6 - -10. Let -2*u**2 + u**2 - 6*u**3 + 4*u**k - 3*u**2 + 6*u**5 + 0*u**3 = 0. What is u?
-1, -2/3, 0, 1
Let l(f) = 10*f - 9*f - 5 - 5*f**3 + 0*f**2 + 3*f**2. Let z(u) = 81*u**3 - 48*u**2 - 15*u + 81. Let i(c) = 33*l(c) + 2*z(c). Factor i(g).
-3*(g - 1)**2*(g + 1)
Let q(a) be the third derivative of -a**8/63 - 4*a**7/45 - 5*a**6/72 + 61*a**5/180 + 4*a**4/9 + 2*a**3/9 - 23*a**2. Let q(w) = 0. What is w?
-2, -1/4, 1
Let y(z) be the first derivative of -2/3*z**3 + 3/5*z**5 - z + 3/2*z**2 - 1/6*z**6 - 1/2*z**4 - 2. Factor y(b).
-(b - 1)**4*(b + 1)
Let i(t) = 16*t - 158. Let h be i(10). Let -14/3*a**h + 0 - 4/3*a = 0. What is a?
-2/7, 0
Determine j, given that 0*j - 7*j**5 + 0 - 8/7*j**2 + 52/7*j**3 - 10*j**4 = 0.
-2, 0, 2/7
Let h(l) be the first derivative of l**8/112 + 3*l**7/70 - l**5/5 + 5*l**2/2 - 7. Let f(p) be the second derivative of h(p). Let f(x) = 0. Calculate x.
-2, 0, 1
Let d = 22 - -101. Let u = 373/3 - d. Let -2*b**5 - u*b + 2/3*b**2 - 2/3*b**4 + 10/3*b**3 + 0 = 0. Calculate b.
-1, 0, 2/3, 1
Let g(y) be the third derivative of y**8/1008 - y**7/630 - y**6/120 + y**5/36 - y**4/36 + 12*y**2. Solve g(x) = 0 for x.
-2, 0, 1
Let w = 4 + -2. Let l = -4 + 7. Let -2*o**4 + o**w - l*o**2 + o + 4*o**2 - o**5 = 0. Calculate o.
-1, 0, 1
Let f(c) = -3*c - 7. Let u be f(-3). Let q be (-3)/(-1) - 12/5. Factor 0 + g**u + 2/5*g + q*g**3.
g*(g + 1)*(3*g + 2)/5
Let m(q) = q**2 + 7*q + 9. Let u be m(-6). Suppose -4*b + 4*p = -8, -u*b = -6*b + p + 6. Let -l + 8*l**3 + 2*l**2 + 4*l**2 + 4*l**b + 3*l = 0. What is l?
-1, -1/4, 0
Suppose 4*t - 12 = -2*x, t - 3 = -0*t + 2*x. Suppose t*s - 2 = 2*s. Find i, given that 0*i**2 + i**3 + 2*i**4 - 2*i**2 - s*i + i = 0.
-1, -1/2, 0, 1
Let d be (-16)/(-4) + -10 + 10. Determine p so that -2/5*p**d + 2/5*p**2 + 2/5*p - 2/5*p**3 + 0 = 0.
-1, 0, 1
Let g(b) = b**4 + 3*b**4 - 12*b**3 - 2*b**3. Let c(s) = s**4 - 3*s**3. Let t(u) = 14*c(u) - 3*g(u). Factor t(q).
2*q**4
Let k(f) = -4*f**2 + 7*f + 5. Let n(m) = 2*m**2 - 3*m - 3. Let g(i) = -3*k(i) - 5*n(i). Factor g(b).
2*b*(b - 3)
What is v in -42*v**2 + 49/3*v**3 - 8/3 + 20*v = 0?
2/7, 2
Let n(k) be the first derivative of 1/12*k**4 - 1/6*k**2 + 2 - 1/15*k**5 + 1/9*k**3 + 0*k. Factor n(t).
-t*(t - 1)**2*(t + 1)/3
Let y(m) be the first derivative of 2*m**3/3 + 3. Let v be y(-1). Factor 2 + 5*h**v + h + 0*h**2 - h**3 - 1 - 6*h**2.
-(h - 1)*(h + 1)**2
Let f be 4 + 1 + 11/((-154)/46). Let 36/7*h + 18/7*h**3 + 39/7*h**2 + f + 3/7*h**4 = 0. Calculate h.
-2, -1
Let b be 12/8*(-32)/(-54). Suppose 0*u - b*u**3 + 0 + 2/9*u**2 = 0. What is u?
0, 1/4
Find h such that -8/7 - 170/7*h**2 - 88/7*h = 0.
-2/5, -2/17
Let c(s) = -s**5 - s**2 - 1. Let a(t) = -4*t**5 + 3*t**4 - 3*t**3 - 2*t**2 - 3. Let n(j) = a(j) - 3*c(j). Factor n(f).
-f**2*(f - 1)**3
Let d(l) be the second derivative of -l + 1/42*l**4 - 1/7*l**2 + 0 + 0*l**3. Factor d(p).
2*(p - 1)*(p + 1)/7
Let i(p) be the first derivative of -1/6*p**3 - 1/16*p**4 - 1/120*p**5 + 2 + 0*p - 1/2*p**2. Let v(f) be the second derivative of i(f). Factor v(o).
-(o + 1)*(o + 2)/2
Let s = -54 + 57. Find o, given that -24/5*o + 12*o**s - 10*o**4 + 22/5*o**2 - 8/5 = 0.
-2/5, 1
Let a be (40/5)/(1/2). Let j = 16 - a. Factor 1/2*p**2 + p + j.
p*(p + 2)/2
Suppose 0 = -0*v + 3*v - 6. Let h = 537/5 + -107. Factor -2/5*y**v + 4/5 - h*y.
-2*(y - 1)*(y + 2)/5
Factor 4/5*g - 3/5 - 1/5*g**2.
-(g - 3)*(g - 1)/5
Let r(n) be the third derivative of n**9/40320 - n**8/13440 + n**5/20 + 2*n**2. Let z(o) be the third derivative of r(o). Suppose z(g) = 0. What is g?
0, 1
Let t(v) = v**3 + 11*