 1
Suppose -13*g = -45 + 6. Suppose 3/2*m - 1/2*m**4 + 1/2*m**2 - 3/2*m**g + 0 = 0. What is m?
-3, -1, 0, 1
Suppose 0 = -c - 2*b - 3, -4*c + 2*b + 3*b = -27. Let p(z) be the second derivative of 13/12*z**4 - z**5 - 1/3*z**c + z + 0 + 0*z**2. Find v such that p(v) = 0.
0, 1/4, 2/5
Let p(n) be the second derivative of -2/35*n**5 - 2/7*n**3 + 1/7*n**2 + 3/14*n**4 + 0 + 2*n. Factor p(v).
-2*(v - 1)**2*(4*v - 1)/7
Let v(t) be the third derivative of t**8/84 - 2*t**7/35 + 4*t**5/15 + 9*t**2. Factor v(c).
4*c**2*(c - 2)**2*(c + 1)
Factor 1/2*k**3 + 2 - 2*k - 1/2*k**2.
(k - 2)*(k - 1)*(k + 2)/2
Let x be 184/540 + 2/(-6). Let k(a) be the second derivative of 0*a**3 + 0 - x*a**6 - 1/9*a**2 - 3*a + 1/27*a**4 + 0*a**5. Factor k(w).
-2*(w - 1)**2*(w + 1)**2/9
Let d(i) = -16*i**2 + 10*i - 4. Let x(s) = 3*s - 8 - 8 - 5*s**2 + 15. Let a(j) = -5*j. Let r be a(2). Let b(q) = r*x(q) + 3*d(q). Find g such that b(g) = 0.
-1, 1
Let y(h) = h**3 - 5*h**2 + 8*h - 2. Let b be y(3). Let d(f) be the third derivative of f**2 + 0*f - 1/270*f**5 - 1/54*f**b + 0 - 1/27*f**3. Factor d(k).
-2*(k + 1)**2/9
Let g(x) = -13*x**4 + 28*x**3 - 9*x**2 - 31*x + 5. Let j(h) = -4*h**4 + 9*h**3 - 3*h**2 - 10*h + 2. Let l(o) = -6*g(o) + 21*j(o). Find t, given that l(t) = 0.
-1, 1/2, 2
Suppose 4*v + 2*p - 5 = 15, 5*v - 4*p - 38 = 0. Let l be (-10)/(-2)*v/45. Let 0 + 1/3*m - l*m**2 + 1/3*m**3 = 0. What is m?
0, 1
Let x(y) be the third derivative of 3*y**7/35 - 13*y**6/60 + 4*y**5/27 - y**4/27 + 7*y**2. Factor x(p).
2*p*(p - 1)*(9*p - 2)**2/9
Let f(y) be the third derivative of -y**8/1344 - y**7/280 - y**6/240 + y**5/120 + y**4/32 + y**3/24 + 3*y**2. Let f(q) = 0. Calculate q.
-1, 1
Let p(s) be the second derivative of s**6/135 + 2*s**5/45 - s**4/18 - 2*s**3/3 - 13*s. Let p(m) = 0. Calculate m.
-3, 0, 2
Suppose -z + 6*j = 3*j + 7, -4*z + 17 = 3*j. Let l be 51/(-21) - (2 - 5). Factor -2/7 + 0*d + l*d**z - 2/7*d**4 + 0*d**3.
-2*(d - 1)**2*(d + 1)**2/7
Let l(t) be the first derivative of -2*t**2 + t - 2. Let z be l(-1). What is m in -2*m**2 - z*m**2 + 2 + 5*m**2 = 0?
-1, 1
Let c(f) be the third derivative of f**7/735 - f**6/210 + f**4/42 - f**3/21 + 17*f**2. Find s such that c(s) = 0.
-1, 1
Let w(i) be the second derivative of -6*i + 0 + 1/24*i**3 + 0*i**4 + 0*i**2 - 1/80*i**5. Factor w(o).
-o*(o - 1)*(o + 1)/4
Let o(q) be the third derivative of -q**7/70 - 3*q**6/40 - 3*q**5/20 - q**4/8 - 2*q**2. Find a such that o(a) = 0.
-1, 0
Let p(r) be the third derivative of -r**9/16632 + r**8/4620 - r**6/990 + r**5/660 - r**3/3 + 8*r**2. Let f(s) be the first derivative of p(s). Factor f(m).
-2*m*(m - 1)**3*(m + 1)/11
Let s = 483 - 481. Factor -2/3*w**2 - s*w - 4/3.
-2*(w + 1)*(w + 2)/3
Let y(d) be the first derivative of -d**6/2 + 6*d**5/5 - 2*d**3 + 3*d**2/2 + 2. Factor y(s).
-3*s*(s - 1)**3*(s + 1)
Let h = 12 - 29. Let b(m) = m + 19. Let f be b(h). Factor 1/3*w**3 + w + w**f + 1/3.
(w + 1)**3/3
Let i(c) be the second derivative of c**4/18 + c**3/9 - 2*c**2/3 + 6*c. Factor i(q).
2*(q - 1)*(q + 2)/3
Let h = 42 + -40. Factor 6/5*r + 2/5*r**h + 4/5.
2*(r + 1)*(r + 2)/5
Let k(j) be the second derivative of j**7/10080 - j**6/1440 + j**5/480 + j**4/12 - j. Let g(w) be the third derivative of k(w). Solve g(c) = 0.
1
Let r = -22 - -26. Suppose 3*c - 15 = r*m, -c = 4*c - m - 25. Let 16/7*k**4 - 8*k + 76/7*k**2 + 16/7 - 2/7*k**c - 50/7*k**3 = 0. Calculate k.
1, 2
Let z(p) be the second derivative of p**5/60 + p**4/12 + p**3/6 + p**2 + p. Let r(g) be the first derivative of z(g). Let r(f) = 0. What is f?
-1
Let o(m) = -9*m**3 + 5*m**2 - 11*m - 11. Let d(n) = -5*n**3 + 3*n**2 - 6*n - 6. Let s(q) = 11*d(q) - 6*o(q). Factor s(w).
-w**2*(w - 3)
Let k(j) be the first derivative of 4 + j - j**2 - 1/10*j**5 - 1/2*j**4 - j**3. Let x(i) be the first derivative of k(i). Factor x(o).
-2*(o + 1)**3
Let x(d) be the third derivative of -d**10/25200 + d**9/7560 + d**8/10080 - d**7/1260 - d**5/60 + 3*d**2. Let i(h) be the third derivative of x(h). Factor i(q).
-2*q*(q - 1)**2*(3*q + 2)
Let b(a) be the third derivative of a**7/525 - a**6/75 + a**5/75 + a**4/15 - a**3/5 + 28*a**2. Determine o, given that b(o) = 0.
-1, 1, 3
Let b(w) be the first derivative of 3*w**5/20 - 3*w**4/8 + w**3/4 - 11. Let b(i) = 0. Calculate i.
0, 1
Let j(u) = u**3 + 4*u**2 - 2*u - 5. Let l be (-6)/(-15) + (-66)/15. Let x be j(l). Factor 7/4*z - 1/2 + 3/4*z**x - 2*z**2.
(z - 1)**2*(3*z - 2)/4
Let s(h) = -h**5 - 3*h**4 - h**3 + h**2 + 2*h. Let n(z) = -3*z**5 - 9*z**4 - 2*z**3 + 4*z**2 + 7*z. Let y(q) = 2*n(q) - 7*s(q). Find a such that y(a) = 0.
-1, 0
Find c, given that 2/13*c**4 - 2/13*c**2 - 6/13*c**3 + 0 + 4/13*c + 2/13*c**5 = 0.
-2, -1, 0, 1
Factor 2*m**2 - m**2 + 3 + 0 + 4*m.
(m + 1)*(m + 3)
Suppose -5*z - 5*n = 75, -4*n = z + 14 + 1. Let d = -12 - z. Determine x, given that x**2 - 3/2*x**4 + 3/2*x - 1/2*x**5 - x**d + 1/2 = 0.
-1, 1
Let m(w) be the third derivative of -w**6/15 - w**5/5 + w**4/2 + 4*w**3/3 + 52*w**2. Suppose m(o) = 0. What is o?
-2, -1/2, 1
Let o = -84 + 87. Find k such that -4/7*k**o + 2/7*k**4 + 4/7*k + 0*k**2 - 2/7 = 0.
-1, 1
Let k(a) be the third derivative of 0 - 1/8*a**4 + 0*a + 3/4*a**3 + 1/120*a**5 - 2*a**2. Suppose k(s) = 0. Calculate s.
3
Let w(c) be the first derivative of -1/12*c**4 + 0*c**2 - c + 0*c**5 - 2 + 1/30*c**6 + 0*c**3. Let o(f) be the first derivative of w(f). Factor o(r).
r**2*(r - 1)*(r + 1)
Let v(g) be the first derivative of -3*g**5/20 + 3*g**4/4 - 3*g**3/2 + 3*g**2/2 + g + 3. Let k(h) be the first derivative of v(h). Factor k(y).
-3*(y - 1)**3
Let b(z) be the first derivative of -2/13*z + 6/65*z**5 + 1/39*z**6 + 1/13*z**4 - 4/39*z**3 - 1 - 3/13*z**2. Factor b(k).
2*(k - 1)*(k + 1)**4/13
Let b(k) be the first derivative of -k**5/270 + k**4/108 + 2*k**3/27 - 5*k**2/2 + 2. Let u(f) be the second derivative of b(f). Solve u(n) = 0.
-1, 2
Let c = 1/316 + 29/3318. Let o(i) be the third derivative of 0*i + 0 + 1/21*i**3 - 1/105*i**5 - c*i**4 + i**2. Suppose o(u) = 0. What is u?
-1, 1/2
Factor -24*r**2 - 7*r - 4*r**4 - 15*r - 16*r**3 - 2 - 2 + 6*r.
-4*(r + 1)**4
Suppose -6*x = -x. Let v(i) be the first derivative of 2/3*i**3 - 1 - i**4 + 0*i + 2/5*i**5 + x*i**2. Factor v(q).
2*q**2*(q - 1)**2
Let i(u) be the third derivative of -1/60*u**6 + 0*u**4 + 0 - 1/30*u**5 + 0*u**3 - 2*u**2 + 0*u. Let i(r) = 0. What is r?
-1, 0
Suppose 3*v - y = 8, -y + 4*y = 4*v - 14. Let h(u) be the second derivative of 1/6*u**4 - 1/30*u**6 + 0 - u + 0*u**3 + 0*u**5 - 1/2*u**v. Factor h(c).
-(c - 1)**2*(c + 1)**2
Let h(i) = -18*i**2 - 147*i - 144. Let s(c) = 10*c**2 + 73*c + 72. Let q(d) = -3*h(d) - 5*s(d). Determine u, given that q(u) = 0.
-18, -1
Let v = 18 - 15. Let n(c) be the third derivative of 0*c - 1/270*c**6 + 0*c**5 + 1/54*c**4 + 2*c**2 + 1/945*c**7 + 0 - 1/27*c**v. Find m, given that n(m) = 0.
-1, 1
Suppose 5*t - t = 8. Determine x, given that -14*x + 29*x**3 + 6*x - 20*x**4 + 3*x**3 + 2*x**t - 6*x**2 = 0.
-2/5, 0, 1
Factor 98*c**2 + 5*c**3 + 30 - 35*c - 98*c**2.
5*(c - 2)*(c - 1)*(c + 3)
Let m(l) be the third derivative of 5*l**8/336 - l**7/21 - l**6/12 + 2*l**5/3 - 35*l**4/24 + 5*l**3/3 + 6*l**2. Determine s, given that m(s) = 0.
-2, 1
Let i(m) be the third derivative of -m**6/40 + 3*m**5/10 - 3*m**4/2 + 4*m**3 - 2*m**2. Let i(g) = 0. What is g?
2
Let x(y) = -y**2 - 10*y + 12. Let u be x(-12). Let n be u/30 + 2/5. Factor 2/3*k**5 + 2/3*k + n - 4/3*k**3 + 0*k**2 + 0*k**4.
2*k*(k - 1)**2*(k + 1)**2/3
Determine h, given that 15/2*h**2 - 5/2*h**4 + 0 + 45*h - 10*h**3 = 0.
-3, 0, 2
Let x = -8/3 - -3. Factor 2/3*u**3 + 2/3*u**2 - 1/3*u - x*u**5 - 1/3*u**4 - 1/3.
-(u - 1)**2*(u + 1)**3/3
Let t(h) be the third derivative of -7*h**5/24 - 5*h**4/16 + 21*h**2. Factor t(g).
-5*g*(7*g + 3)/2
Suppose 4 = 2*t - 0*t. Let 3/2*o**3 - 3*o**t - 3/2*o + 3 = 0. What is o?
-1, 1, 2
Let a(v) = 7*v**3 + v**2 - 7*v - 1. Let j(k) = -k**2 - k**2 - 27*k**3 + 7*k**3 + 6 + 20*k - 4. Let r(p) = 11*a(p) + 4*j(p). Suppose r(y) = 0. Calculate y.
-1, 1
Let i be (-1)/(23/8 - 3). Let m(s) be the first derivative of 6/5*s**5 + i*s + 4*s**4 - 2*s**3 - 4 - 12*s**2. Let m(l) = 0. Calculate l.
-2, 1/3, 1
Let u(w) be the first derivative of 0*w**2 + w + 1/5*w**5 + 0*w**4 - 2/3*w**3 - 3. Factor u(k).
(k - 1)**2*(k + 1)**2
Suppose 0*u = -4*u. Factor 3*t**2 - 2*t**2 + 