e i so that k(i) = 0.
0, 1
Let t = 15 - 15. Let u(o) be the second derivative of -1/15*o**6 + 0*o**2 + t*o**5 + 0 - 2*o + 1/6*o**4 + 0*o**3. Suppose u(j) = 0. Calculate j.
-1, 0, 1
Let t(x) be the first derivative of x**5/20 + x**4/16 - x**3/6 - 47. Factor t(s).
s**2*(s - 1)*(s + 2)/4
Let y(c) be the third derivative of -c**7/2520 + c**6/360 - c**4/12 - c**2. Let k(q) be the second derivative of y(q). Factor k(o).
-o*(o - 2)
Suppose -3*n = 2*a, 3*n + 5*a + 0 + 9 = 0. Factor -7*w**2 - 2 + w**n - 4*w**2 + 4*w**2 - 2*w**3 - 6*w.
-2*(w + 1)**3
Let g(u) be the third derivative of 0*u**3 + 0*u**4 + 1/360*u**6 + 0*u + 0 - u**2 + 1/90*u**5. Factor g(a).
a**2*(a + 2)/3
Let c(t) be the third derivative of -t**7/6300 - t**6/900 + t**4/8 + 3*t**2. Let z(p) be the second derivative of c(p). Factor z(k).
-2*k*(k + 2)/5
Let f(x) be the third derivative of x**6/480 - x**5/240 - x**4/48 - 5*x**2. Factor f(o).
o*(o - 2)*(o + 1)/4
Suppose -4*o - 10 = -9*o. Suppose -2*r + 8 = o*r. Let -2/9*z**4 + 0 - 2/9*z**r + 0*z + 4/9*z**3 = 0. What is z?
0, 1
Let f(j) be the third derivative of -j**6/40 - j**5/30 + 7*j**4/24 - j**3/3 + 7*j**2. Let f(q) = 0. What is q?
-2, 1/3, 1
Let g be (-12)/30 + (-8)/5. Let s = g - -5. What is m in 4*m**s - 5*m**3 - 7*m**5 + m**5 - 8*m**4 - m**3 = 0?
-1, -1/3, 0
Let o be (-27)/(-63) + (-39)/(-7). Let q be ((-4)/o)/((-2)/6). Let 1/2*d**4 - 1/2*d + 1/2*d**3 + 0 - 1/2*d**q = 0. Calculate d.
-1, 0, 1
Let i(b) be the first derivative of b**3 + 0*b - 5/12*b**4 - 2 - 1/3*b**2 - 3/5*b**5 + 7/18*b**6. Find d such that i(d) = 0.
-1, 0, 2/7, 1
Let z(q) be the second derivative of q**5/80 - 5*q**4/48 + 7*q**3/24 - 3*q**2/8 + 2*q + 40. Find t, given that z(t) = 0.
1, 3
Let p = -10 + 13. Let 1 + 0*v**2 - 3 - p*v**2 + 8*v - 3*v**2 = 0. What is v?
1/3, 1
Suppose 6 = 4*m - 6. Let 4*p - 16*p**2 + 8*p**m - 4 - 108*p**3 + 71*p**2 = 0. What is p?
-1/4, 2/5
Suppose -4/3 + 4/3*b**3 + 52/3*b**4 + 26/3*b - 10*b**5 - 16*b**2 = 0. What is b?
-1, 1/3, 2/5, 1
Let x = 9/2 - 13/3. Let m(h) be the first derivative of 2/5*h**5 + 1 - x*h**6 - 1/4*h**4 + 0*h + 0*h**2 + 0*h**3. Factor m(y).
-y**3*(y - 1)**2
Suppose -59 + 104 = 15*r. Factor 49/3*w**r + 32/3*w + 77/3*w**2 + 4/3.
(w + 1)*(7*w + 2)**2/3
Suppose 1 - 13 = -3*o. Let n(z) be the second derivative of 1/150*z**6 + 0*z**3 - 2*z + 0*z**5 - 1/60*z**o + 0*z**2 + 0. Determine f so that n(f) = 0.
-1, 0, 1
Let l(g) be the second derivative of 0 + 1/3*g**3 - 7*g + 3/10*g**5 - 1/15*g**6 - 1/2*g**4 + 0*g**2. Let l(d) = 0. What is d?
0, 1
Let w(o) be the third derivative of -o**11/997920 - o**10/226800 - o**5/15 - 3*o**2. Let p(g) be the third derivative of w(g). Suppose p(a) = 0. What is a?
-2, 0
Let g(j) be the third derivative of j**9/3024 - j**8/3360 - j**7/504 + j**6/360 - j**4/6 - 4*j**2. Let f(w) be the second derivative of g(w). Factor f(v).
v*(v - 1)*(v + 1)*(5*v - 2)
Let g be ((-2)/(-48))/(98/56). Let a(l) be the second derivative of l - 1/21*l**3 - g*l**4 + 0 + 1/7*l**2 + 1/70*l**5. Factor a(k).
2*(k - 1)**2*(k + 1)/7
Determine m, given that 10*m**5 - 12*m**3 + 82*m**4 + 42*m**2 - m - m - 4 + 110*m**3 + 14*m**5 = 0.
-1, -2/3, 1/4
Suppose 2*x = -x. Suppose c**2 + 2*c**2 - 1 + x - 2 = 0. Calculate c.
-1, 1
Let k(y) be the third derivative of y**7/105 + y**6/10 + 4*y**5/15 - y**4/2 - 3*y**3 - 4*y**2. Let k(d) = 0. What is d?
-3, -1, 1
Let a(x) be the second derivative of x**7/630 - x**6/90 + 2*x**4/3 + 3*x. Let n(c) be the third derivative of a(c). Factor n(h).
4*h*(h - 2)
Let b(q) be the third derivative of -4*q**2 + 0 + 1/70*q**5 - 1/42*q**4 - 1/245*q**7 + 0*q**3 + 1/1176*q**8 + 0*q + 1/420*q**6. What is h in b(h) = 0?
-1, 0, 1, 2
Suppose -5*w + 1 = -v - 8, -4*w - 4*v = -12. Let a(s) = -s**4 - s**2 - 1. Let c(u) = -2 + 7*u - 3*u**2 - u**4 - 7*u. Let n(i) = w*a(i) - c(i). Factor n(p).
-p**2*(p - 1)*(p + 1)
Let d = 5/6 - 1/2. Factor 7/3*n**2 - 5/3*n + d - n**3.
-(n - 1)**2*(3*n - 1)/3
Let w(b) = 8*b + 8. Let c be w(-1). Factor 1/2*t**2 - t + c.
t*(t - 2)/2
Let i(j) be the first derivative of -8 + 0*j + 0*j**4 + 0*j**2 + 2/25*j**5 - 2/15*j**3. Factor i(l).
2*l**2*(l - 1)*(l + 1)/5
Factor -2/9*g**3 + 4/3 + 0*g**2 + 14/9*g.
-2*(g - 3)*(g + 1)*(g + 2)/9
Let p(i) be the third derivative of i**6/180 - i**4/12 + 2*i**3/9 - 24*i**2. Suppose p(m) = 0. What is m?
-2, 1
Factor -1/4 - 1/4*a**2 + 1/2*a.
-(a - 1)**2/4
Let t(h) be the first derivative of -3*h**5/5 - 9*h**4/2 - 9*h**3 + 2. Factor t(r).
-3*r**2*(r + 3)**2
Let u(x) be the second derivative of 9*x**7/98 - x**6/10 - 33*x**5/140 + x**4/4 + x**3/7 + 7*x. Let u(d) = 0. Calculate d.
-1, -2/9, 0, 1
Let j(f) be the second derivative of -f**6/195 - f**5/65 + 2*f**4/39 + 8*f**3/39 - 6*f - 4. What is y in j(y) = 0?
-2, 0, 2
Let n(k) be the third derivative of k**6/600 - k**5/300 - k**4/120 + k**3/30 + 52*k**2. Let n(y) = 0. What is y?
-1, 1
Let b(m) be the first derivative of -m**6/30 - 2*m**5/25 + m**4/20 + 2*m**3/15 + 7. Solve b(d) = 0.
-2, -1, 0, 1
Let y(h) = -5*h + 4. Let z be y(2). Let q be -2 + 1/(z/(-32)). Factor -2/3*f - 2*f**3 + 2/3 - q*f**2.
-2*(f + 1)**2*(3*f - 1)/3
Let g(a) be the third derivative of a**8/33600 - a**7/6300 + a**6/3600 - a**4/12 - 8*a**2. Let z(j) be the second derivative of g(j). Factor z(v).
v*(v - 1)**2/5
Let s(d) be the third derivative of -d**7/70 - d**6/10 - d**5/5 + 11*d**2. Factor s(u).
-3*u**2*(u + 2)**2
Let d(u) = 3*u**5 - 11*u**4 + 15*u**3 + u**2 - 11*u - 4. Let j(r) = -r**5 + 5*r**4 - 7*r**3 - r**2 + 5*r + 2. Let w(a) = 3*d(a) + 7*j(a). Factor w(h).
2*(h - 1)**2*(h + 1)**3
Let h be ((-1134)/60)/7*4/(-3). Solve -12/5*a + 2/5*a**2 + h = 0.
3
What is c in 0 - 1/5*c**5 - 1/5*c**4 + c**2 + 2/5*c + 3/5*c**3 = 0?
-1, 0, 2
Let p(t) = t - 10. Suppose 20 = 7*y - 5*y. Let r be p(y). Determine k so that r*k**2 + 0*k**2 + 5*k**2 - 2*k**3 + k**2 + 2 - 6*k = 0.
1
Suppose -29*s = -90*s. Factor 2/3*j**2 - 4/3*j + s.
2*j*(j - 2)/3
Suppose -3*r + 1 = -b + 6, -3*b + 4*r = -10. Factor -4*j**3 - 2*j + 2*j**3 - 3*j**3 + 9*j**b - 2*j**2.
-j*(j - 1)*(5*j - 2)
Let g(h) = -h**2 - 4*h - 9. Let n(a) = a**2 + 4*a + 10. Let d be 2*1*15/6. Let b(f) = d*n(f) + 6*g(f). Determine o, given that b(o) = 0.
-2
Let u(g) be the first derivative of g**6/240 + g**5/80 - g**4/8 + 2*g**3/3 + 1. Let d(o) be the third derivative of u(o). Factor d(i).
3*(i - 1)*(i + 2)/2
Let m = -123 + 125. Suppose 0 + 0*d + 2/3*d**3 - 2/3*d**m = 0. What is d?
0, 1
Let d(i) be the third derivative of 0 - 8/27*i**3 - 17/9*i**4 - 4913/540*i**6 + 0*i + 9*i**2 - 289/45*i**5. Let d(r) = 0. Calculate r.
-2/17
Let t(y) be the first derivative of 2 + 2/45*y**5 - 2/27*y**3 + 1/9*y**2 - 1/18*y**4 + 0*y. Suppose t(b) = 0. Calculate b.
-1, 0, 1
Let w(t) be the third derivative of -t**8/112 + t**7/10 - 2*t**6/5 + 2*t**5/5 + 2*t**4 - 8*t**3 + 6*t**2. Find b, given that w(b) = 0.
-1, 2
Let 0*j + 1/2*j**2 + 0*j**4 + 0 + 1/4*j**5 - 3/4*j**3 = 0. What is j?
-2, 0, 1
Let o be (8/(-88))/((-1)/36). What is m in -2/11*m**4 - o*m**2 - 40/11*m - 16/11 - 14/11*m**3 = 0?
-2, -1
Suppose -p = -3*p + 6. Let x be (1/p)/((-9)/(-54)). Factor -2/7 - 2/7*c**x - 4/7*c.
-2*(c + 1)**2/7
Let d(t) = 7*t**3 - 15*t**2 + 11*t. Let v(g) = 4*g**3 - 8*g**2 + 6*g. Let k(p) = 6*d(p) - 11*v(p). Let k(i) = 0. Calculate i.
-1, 0
Let b be ((-9)/(-24))/(6/72). Let 1/2*u**2 - 3*u + b = 0. What is u?
3
Let m be 3/5*(18 + -7 - 6). Let y(d) be the second derivative of 0 + 3/20*d**5 - 1/6*d**4 - 2*d + 0*d**m - 1/30*d**6 + 0*d**2. Factor y(n).
-n**2*(n - 2)*(n - 1)
Let s(n) be the second derivative of -2*n**6/35 + 27*n**5/140 - 3*n**4/14 + n**3/14 - 5*n. Determine m, given that s(m) = 0.
0, 1/4, 1
Suppose 2 + 21*r**2 - 6*r + 23*r + 11*r**2 - r = 0. What is r?
-1/4
Let r(b) be the third derivative of -1/210*b**5 + 0 - 3*b**2 - 1/84*b**4 + 0*b**3 + 0*b. Solve r(a) = 0.
-1, 0
Let j(t) be the second derivative of t**5/80 - t**4/16 + t**2/2 + 10*t. Factor j(d).
(d - 2)**2*(d + 1)/4
Let h(i) be the first derivative of i**4/18 - 4*i**3/27 + i**2/9 + 17. Let h(w) = 0. Calculate w.
0, 1
Suppose 0 = -6*f + 21 + 3. Find m such that 0 + 6/5*m**3 + 2/5*m**f + 0*m + 4/5*m**2 = 0.
-2, -1, 0
Let l be (-8)/(-3)*9/6. Solve -6*j**4 - l*j**2 - 19*j**3 - j**3 - 10*j**4 = 0.
-1, -1/4, 0
Suppose -2*l + 1 = -7. Let h(p) be the second derivative of 1/3*p**2 + 0 + 2*p + 8/9*p**l + 8/9