15 + 2*s**5/5 + 5*s**4/6 + 2*s**3/3 + 6*s. What is h in z(h) = 0?
-2, -1, 0
Let d be (-10)/(-2) - (2 - 0). Suppose v**d + 2 - v - 3 - v + v**2 + v = 0. Calculate v.
-1, 1
Let f(j) be the third derivative of -j**5/15 + j**4/2 - 4*j**3/3 - 10*j**2. Solve f(d) = 0.
1, 2
Let g(w) = w - 3. Let v be g(7). Let a(x) = -x + 4. Let l be a(v). Solve -1/3*d + l - 1/3*d**2 = 0 for d.
-1, 0
Let 0 + 0*c**2 + 0*c - 1/5*c**3 = 0. Calculate c.
0
Let o(u) = -26*u + 2. Let i be o(0). Determine v so that -1/5*v**5 + 1/5*v**3 + 0 - 1/5*v**4 + 0*v + 1/5*v**i = 0.
-1, 0, 1
Factor 4/3*v**3 - 8/3*v**2 + 0 - 1/3*v**5 + 0*v + 2/3*v**4.
-v**2*(v - 2)**2*(v + 2)/3
Factor -8/7*x - 4/7 - 4/7*x**2.
-4*(x + 1)**2/7
Determine k, given that 1/10*k + 0 - 1/10*k**2 - 1/10*k**3 + 1/10*k**4 = 0.
-1, 0, 1
Suppose 17 = 3*o - 46. Let c be (-18)/(-42) + (-2)/o. Factor 0 + 1/3*s - c*s**3 + 1/3*s**2 - 1/3*s**4.
-s*(s - 1)*(s + 1)**2/3
Suppose 6 = 2*g - 0*g. Let w be ((-14)/21)/((-1)/g). What is x in -1/2*x**w + 3/2*x - 1 = 0?
1, 2
Let u(r) = 3*r + 84. Let p be u(-28). Factor -1/4*i - 1/4*i**2 + p.
-i*(i + 1)/4
Let r(k) be the third derivative of k**6/60 + k**5/10 - 3*k**4/4 + 5*k**3/3 - k**2. Let r(c) = 0. What is c?
-5, 1
Let o(s) = s**3 + 3*s**2 + 2*s. Let n be o(-3). Let b(x) = x**3 + 5*x**2 - 5*x + 8. Let h be b(n). Solve -2/11*r**3 + 0 + 0*r - 2/11*r**4 + 0*r**h = 0.
-1, 0
Let g be 1/(-4)*(0/(-7) + -8). Determine a so that 4/3*a**3 + 0*a + 0*a**g + 0 + 2/3*a**4 = 0.
-2, 0
Let f(r) be the second derivative of 0*r**3 - 4*r + 0 - 1/35*r**5 - 1/21*r**4 + 0*r**2. Factor f(v).
-4*v**2*(v + 1)/7
Suppose -4*f + 6 = -f. Let w = 5 - f. Solve 1/2*c + 2*c**4 + 0 - 1/2*c**2 - 2*c**w = 0 for c.
-1/2, 0, 1/2, 1
Factor 0 - 1/8*j**2 + 3/4*j.
-j*(j - 6)/8
Let y(v) be the second derivative of -32*v**6/35 - 12*v**5/7 - 17*v**4/28 - v**3/14 + 26*v. Factor y(a).
-3*a*(a + 1)*(8*a + 1)**2/7
Let u(w) = 5*w**2 - 10*w + 5. Let g(n) be the third derivative of n**2 + 1/12*n**4 - 1/6*n**3 - 1/60*n**5 + 0*n + 0. Let q(m) = -11*g(m) - 2*u(m). Factor q(r).
(r - 1)**2
Suppose -3*k - 4 = -10. Factor -8/11*l**3 - 12/11*l**k - 2/11 - 8/11*l - 2/11*l**4.
-2*(l + 1)**4/11
Let q be ((-5776)/(-84))/(6/7). Let r = q - 80. Factor -r*b**2 + 2/9*b + 0.
-2*b*(b - 1)/9
Let f(a) be the second derivative of -a**7/105 + 3*a**5/50 - a**4/15 - 10*a - 2. Suppose f(g) = 0. What is g?
-2, 0, 1
Let x(a) be the second derivative of a**5/80 - a**4/24 - a**3/24 + a**2/4 + 23*a. Find f such that x(f) = 0.
-1, 1, 2
Let k = -59/65 + 17/13. Find q, given that 1/5*q**3 + 0 + k*q**2 + 1/5*q = 0.
-1, 0
Suppose 50 = 5*p + 3*r, -4*p + 3*r + 0*r + 67 = 0. Suppose -5*t + p + 12 = 0. Determine o so that 1/5*o**4 - 1/5*o**t + 0 + 1/5*o**3 - 1/5*o**2 + 0*o = 0.
-1, 0, 1
Let i(a) be the second derivative of -1/168*a**7 - 1/12*a**3 - 1/24*a**6 - 7/48*a**4 + 4*a + 0 - 9/80*a**5 + 0*a**2. Find c, given that i(c) = 0.
-2, -1, 0
Let a(l) be the second derivative of 4/9*l**3 + 0*l**2 + 2/9*l**4 + 0 + 1/30*l**5 - 3*l. Let a(p) = 0. Calculate p.
-2, 0
Factor -4*w - 7/2*w**2 + 2 + 5/2*w**3.
(w - 2)*(w + 1)*(5*w - 2)/2
Suppose 34 = 2*g - 38. Factor -3*z**3 + 24 - 2*z**2 + 0*z**3 + 20*z**2 - g*z.
-3*(z - 2)**3
Let y be 0 + (-2 - 0/(-2)). Let d(n) = 11*n**2 - 7*n + 3. Let p(h) = -12*h**2 + 6*h - 2. Let j(b) = y*d(b) - 3*p(b). Factor j(t).
2*t*(7*t - 2)
Let j = -14 + -1. Let m be j/(-6)*4/9. Factor -16/9*o + 8/9 - 2/9*o**3 + m*o**2.
-2*(o - 2)**2*(o - 1)/9
Let k(o) be the first derivative of -2/3*o**2 + 1/3*o + 1/15*o**5 + 2/3*o**3 - 1 - 1/3*o**4. What is j in k(j) = 0?
1
Let w(y) = -y + 17. Let j be w(15). Let f(k) be the first derivative of k**3 + k - 3/2*k**2 - 1/4*k**4 + j. Factor f(r).
-(r - 1)**3
Let q(g) = -15*g**2 + 108*g - 228. Let x(p) = 6*p**2 - 43*p + 91. Let b(f) = -5*q(f) - 12*x(f). Factor b(o).
3*(o - 4)**2
Let h = 13589/14960 + 1/1360. Suppose -4/11 - 10/11*o**3 + h*o + 4/11*o**2 = 0. Calculate o.
-1, 2/5, 1
Let i(b) be the first derivative of 0*b**3 - 1/15*b**5 + 1/3*b**2 - 1/6*b**4 + 1/3*b + 3. Factor i(j).
-(j - 1)*(j + 1)**3/3
Suppose 0 = -3*o - 0*o + 3. Let b(g) be the first derivative of 1/14*g**4 + 0*g + 2/21*g**3 - 2/35*g**5 + o - 1/7*g**2. Suppose b(t) = 0. Calculate t.
-1, 0, 1
Let p(s) be the third derivative of s**10/7560 - 5*s**4/24 - 6*s**2. Let c(m) be the second derivative of p(m). Factor c(y).
4*y**5
Let s(a) = a**3 - 7*a**2 + a - 3. Let o be s(7). Factor 2 + o*m + 5/2*m**2 + 1/2*m**3.
(m + 1)*(m + 2)**2/2
Let y(v) be the third derivative of v**8/840 - v**6/50 + 4*v**5/75 - v**4/20 - 6*v**2. Determine q so that y(q) = 0.
-3, 0, 1
Suppose 4*s = 5*s. Let a(z) be the first derivative of -2/3*z**3 - 1 + s*z**2 + 0*z. Solve a(m) = 0 for m.
0
Let i(o) be the first derivative of 5*o**4/4 - 10*o**3/3 - 15*o**2/2 + 15. Factor i(j).
5*j*(j - 3)*(j + 1)
Let j(c) = c**3 + 7*c**2 - 6. Let l be j(-7). Let t be (3/l)/((-2)/12). Factor 4*a**2 - 4*a**t + 4*a + 2*a**4 + 3*a**2 - 9*a**2.
2*a*(a - 2)*(a - 1)*(a + 1)
Suppose -3*w = w - 4*t, 0 = -3*w + 5*t - 10. Let z = w + -4. Find j such that -10*j**2 - z - 6*j + 12*j**3 + 2 + 3 = 0.
-2/3, 1/2, 1
Determine i so that -5*i**2 - 6*i**4 + 2*i**4 + 26*i**3 - 12*i - 14*i**3 + i**2 + 8 = 0.
-1, 1, 2
Find z, given that 0 + 39/8*z**2 - 3/4*z - 3/2*z**5 + 51/8*z**4 - 9*z**3 = 0.
0, 1/4, 1, 2
Let c(v) = v**2 - 11*v + 15. Let l be c(10). Suppose 1 = 2*u - l. Suppose -h**u + 0 - 1/4*h - 5/4*h**2 = 0. What is h?
-1, -1/4, 0
Let b = 62/3 - 18. Let f be (-2)/(-18)*(0 - -4). Suppose -8/9*j**3 - 2 + f*j**2 - 2/9*j**4 + b*j = 0. What is j?
-3, 1
Suppose 5*n - 26 = 2*i + 29, 0 = 3*n + 5*i - 2. Suppose -n*w = -5*w. Factor -2/3*o + 35/3*o**3 - o**2 + w.
o*(5*o + 1)*(7*o - 2)/3
Let m(r) be the second derivative of 1/8*r**2 + 0 + 1/20*r**5 + r + 1/6*r**3 + 1/8*r**4 + 1/120*r**6. Factor m(i).
(i + 1)**4/4
Find a, given that -18 - 17 + 24*a**2 - 13 - 3*a**4 = 0.
-2, 2
Let x(o) = -48*o**4 + 63*o**3 + 81*o**2 - 96*o - 33. Let m(d) = 3*d**4 - 4*d**3 - 5*d**2 + 6*d + 2. Let a(b) = -33*m(b) - 2*x(b). Determine s so that a(s) = 0.
-1, 0, 1, 2
Let l(t) be the third derivative of t**5/90 - 5*t**4/18 + 25*t**3/9 + t**2 - 4*t. What is f in l(f) = 0?
5
Let c(h) = -8*h**2 + 3*h + 20*h**2 - 11 + h**3 - 17*h + 0*h**3. Let j be c(-13). Factor 2/9 + 2/9*u**j + 4/9*u.
2*(u + 1)**2/9
Suppose -3*v + 5*v = -3*v. Let s(b) be the second derivative of -3*b + 1/12*b**4 + v - 2/3*b**3 + 2*b**2. Find k, given that s(k) = 0.
2
Let w(c) = -c**3 + c**2 - 1. Let y(p) = -p**3 - 35*p**2 - 52*p - 21. Let m(g) = -3*w(g) - y(g). Factor m(o).
4*(o + 1)**2*(o + 6)
Let z(d) be the first derivative of -d**3/3 - 2*d**2 - 4*d - 6. Factor z(i).
-(i + 2)**2
Let z(v) be the first derivative of v**5/10 + 2*v**4/3 + 4*v**3/3 - 2*v + 5. Let k(l) be the first derivative of z(l). Let k(a) = 0. Calculate a.
-2, 0
Solve -24*y**2 - 48*y - 31 - 1 + 64*y**3 - 68*y**3 = 0.
-2
Let b(v) be the third derivative of -1/140*v**7 + 1/60*v**5 + 0*v**4 + 0 + 1/80*v**6 + 0*v - 1/336*v**8 + 0*v**3 + 2*v**2. Suppose b(c) = 0. Calculate c.
-2, -1/2, 0, 1
Let s(z) be the second derivative of -1/36*z**4 - 1/18*z**3 + 2*z + 0*z**2 + 0. Determine t, given that s(t) = 0.
-1, 0
Let x(p) be the second derivative of 2*p + 0*p**2 + 1/49*p**7 + 1/105*p**6 - 1/14*p**5 + 2/21*p**3 - 1/42*p**4 + 0. Find c such that x(c) = 0.
-1, 0, 2/3, 1
Let b = -34 - -34. Factor 0*u + b*u**3 + 0 + 0*u**2 - 2/7*u**4.
-2*u**4/7
Let c = 64 + -190/3. Let x(l) be the second derivative of 0 + 1/15*l**6 + 2*l + 0*l**4 - l**2 - c*l**3 + 1/5*l**5. Factor x(p).
2*(p - 1)*(p + 1)**3
Let i(m) be the first derivative of m**3/6 - 3*m**2/4 - 6. Factor i(j).
j*(j - 3)/2
Let u(g) be the third derivative of 0 + 0*g**7 + 0*g**4 + 1/480*g**6 + 0*g**3 + 0*g + 4*g**2 + 0*g**5 - 1/1344*g**8. Factor u(v).
-v**3*(v - 1)*(v + 1)/4
Suppose -b + 5 = 5*l, 4*b + 4*l = -l + 5. Let a(r) = 4*r - 66. Let z be a(17). Factor -2/7*u**z - 2/7*u + b.
-2*u*(u + 1)/7
Let f be (-215)/2 + (-2)/4. Let p be -2 - (3 - f/(-20)). Factor 2/5*w**3 + 2/5*w**2 - 2/5 - p*w.
2*(w - 1)*(w + 1)**2/5
Suppose 0 = -3*x - 2*x - 4*h + 14, 0 = -2*h + 2. Let 0 - 1/9*k**x - 2/9*k = 0. Calculate k.
-2, 0
Let c be (-2)/(-3)*(-45)/(-6). Suppose 5*y = c*f - 32 - 78, 5*f = 2*y + 98. Factor 7*w**2 - 2*w**2 + 12*w - f - 7*w**2.
-2*(w - 3)**2
Suppose 6 = -n - 4*o, 11 = 2*n - o - 4. Let a(t)