*7/2100 - f**6/1350 + 2*f**3 + 8*f**2. Let s(l) be the first derivative of o(l). Factor s(a).
2*a**2*(a + 1)*(5*a - 2)/15
Let i(c) be the third derivative of 0*c - 1/360*c**5 + 1/48*c**4 + 25*c**2 + 0 + 0*c**3. Solve i(u) = 0.
0, 3
Determine y, given that 8/5 + 7/5*y - 1/5*y**2 = 0.
-1, 8
Suppose 5*x + 2*f = 10, 2*f - 5*f - 18 = -9*x. Factor 0 + 1/2*w**x - 3/2*w**3 + 1/2*w**5 - 1/2*w**4 + w.
w*(w - 2)*(w - 1)*(w + 1)**2/2
What is n in -1/4*n**4 + n**3 + 0 + 0*n + 21/4*n**2 = 0?
-3, 0, 7
Let y = -267/2 - -134. Let r(f) be the first derivative of -5 + y*f**4 - f**2 + 1/5*f**5 + 0*f - 1/3*f**3. Factor r(u).
u*(u - 1)*(u + 1)*(u + 2)
Let u(c) = -5*c**3 - 88*c**2 - 673*c. Let z(b) = 66*b**3 + 1143*b**2 + 8748*b. Let p(k) = -27*u(k) - 2*z(k). Factor p(f).
3*f*(f + 15)**2
Let k(h) = 2*h - 12. Suppose 12 = 4*p - 20. Let y be k(p). Suppose 0*g**2 + g**3 + 1/2*g**y - 1/2 - g = 0. What is g?
-1, 1
Let f be (-162)/2052*(-96)/18. Let g be 54/(-285) + 2/5. Determine a so that -14/19*a**5 + 6/19*a + 28/19*a**2 - g + f*a**3 - 24/19*a**4 = 0.
-1, 2/7, 1
Let t(j) be the first derivative of -j**4/18 - 7*j + 9. Let s(x) be the first derivative of t(x). Let s(v) = 0. What is v?
0
Let r(n) be the second derivative of -n**4/84 + n**3/42 + 3*n**2/7 + n + 22. Determine l so that r(l) = 0.
-2, 3
Let w(u) be the second derivative of -u**4/24 - 13*u**3/12 + 15*u**2/2 + 66*u + 2. Suppose w(k) = 0. Calculate k.
-15, 2
Let m(c) = 2*c**3 + 2*c - 2. Let h be m(1). Let 4 - q**h + 3*q + 0*q**2 - 1 - q = 0. Calculate q.
-1, 3
Let h(t) = t**3 + 2*t**2 + 8*t - 14. Let f(m) = 4*m**3 + 5*m**2 + 26*m - 41. Let p(y) = 6*f(y) - 21*h(y). Determine d, given that p(d) = 0.
-2, 2, 4
Let j = -42 + 46. Let r(v) be the first derivative of -4/3*v**3 - 1/15*v**5 - v + 5/3*v**2 - 4 + 1/2*v**j. Factor r(u).
-(u - 3)*(u - 1)**3/3
What is v in -79*v + 161/2*v**4 + 0 - 477/2*v**3 + 475/2*v**2 - 1/2*v**5 = 0?
0, 1, 158
Let b be (-232)/(-352) - 8/(-88). Let x(u) be the second derivative of 3/2*u**2 + 6*u - 5/8*u**4 + 0 - b*u**3. Find c such that x(c) = 0.
-1, 2/5
Let i(x) be the second derivative of 5*x**7/42 - x**6/2 - 5*x**5/2 - 25*x. Let i(u) = 0. What is u?
-2, 0, 5
Let j = -8 + 8. Let d = 5 + j. Solve -4*f + 4*f**d - 8*f**2 + 8*f**4 + 0*f**4 - 9 + 9 = 0.
-1, 0, 1
Factor 45*u + 135*u**2 - 260*u**2 + 130*u**2 + 70.
5*(u + 2)*(u + 7)
Let q be (-75)/(-18) + 3/(-18). Let d(v) be the first derivative of 1/9*v**q + 2 - 2/27*v**3 + 0*v**2 - 2/45*v**5 + 0*v. Factor d(g).
-2*g**2*(g - 1)**2/9
Let r = -161 + 161. Let p(i) be the third derivative of 1/525*i**7 + 1/75*i**5 + 0*i**4 + r*i**3 + 0*i - 1/100*i**6 + 3*i**2 + 0. Find v such that p(v) = 0.
0, 1, 2
Let v(n) be the first derivative of -2/15*n**3 - 9 + 8/5*n - 4/5*n**2 + 1/10*n**4. Solve v(l) = 0.
-2, 1, 2
Let r(f) = 7*f**5 + 33*f**4 + 75*f**3 + 44*f**2. Let y(q) = -5*q**5 - 33*q**4 - 75*q**3 - 43*q**2. Let k(m) = -4*r(m) - 5*y(m). Suppose k(p) = 0. Calculate p.
-1, 0, 13
Let h = 10 - 7. Find d, given that 15 + 5*d - 4*d**2 - 19 + h*d = 0.
1
Let i = 35 + -79. Suppose -3*d = -5*d - 4. Let n(k) = -2*k**2 - 24*k + 26. Let o(y) = y - 1. Let j(x) = d*n(x) + i*o(x). Solve j(a) = 0.
-2, 1
Let n(y) = 2716*y**2 - 98*y - 11. Let v(z) = 2714*z**2 - 99*z - 9. Let g(c) = 5*n(c) - 6*v(c). Find b, given that g(b) = 0.
1/52
Let l = 2/1035 + 186286/7245. Factor 2/7*s**5 + 92/7*s**3 + l*s**2 + 22/7*s**4 + 54/7 + 162/7*s.
2*(s + 1)**2*(s + 3)**3/7
Let t(q) = 13*q**3 + q**2. Let p be t(1). Let r be -9*(2 + p/(-6)). Factor -c**r - 2*c + 9*c - 6*c.
-c*(c - 1)*(c + 1)
Let d(p) be the first derivative of -2*p**3/27 - 4*p**2/3 + 39. Solve d(l) = 0.
-12, 0
Let u(t) = -11*t**2 + 33*t. Let p(v) = 8*v**2 - 32*v. Let w(d) = 4*p(d) + 3*u(d). Factor w(c).
-c*(c + 29)
Let v(k) be the first derivative of 25/4*k**4 + 35/2*k**2 + 16 - 5*k - 55/3*k**3. Factor v(u).
5*(u - 1)**2*(5*u - 1)
Let q(k) be the second derivative of k**5/120 - k**4/24 - k**3/4 + 3*k**2 + 8*k. Let t(n) be the first derivative of q(n). Suppose t(w) = 0. What is w?
-1, 3
Let f be (-1705)/(-2310) + ((-52)/24 - -2). Solve -12/7*p + 0 + 12/7*p**3 - f*p**2 + 4/7*p**4 = 0 for p.
-3, -1, 0, 1
Let l(g) be the second derivative of 1/20*g**5 + 0 + 3/2*g**2 + 7*g - 1/8*g**4 + 0*g**3. Let t(i) be the first derivative of l(i). Solve t(h) = 0 for h.
0, 1
Let -2/3*u**3 + 8/9*u**5 + 0*u + 0 + 0*u**2 + 22/9*u**4 = 0. Calculate u.
-3, 0, 1/4
Let j(n) be the second derivative of -n**6/80 + n**5/40 + n**4/36 - n**3/9 + 3*n**2/2 - 5*n. Let m(h) be the first derivative of j(h). Factor m(k).
-(k - 1)*(3*k - 2)*(3*k + 2)/6
Let y be 4/14 + (-16)/154. Let t = 20391 + -20391. Suppose -y*j**2 + 0*j + t = 0. Calculate j.
0
Let f(g) be the first derivative of 4*g**3/27 + 142*g**2/9 + 184*g/3 - 214. Factor f(r).
4*(r + 2)*(r + 69)/9
Suppose -j - 18 = j. Let q be j - -10 - (2 + (-2 - -1)). Let -3*u**5 - 27/5*u**3 + 6/5*u**2 + q*u + 36/5*u**4 + 0 = 0. Calculate u.
0, 2/5, 1
Let i = 16/71 + -2/639. Let y(m) be the first derivative of -2/27*m**3 + i*m - 1/9*m**2 + 8 + 1/18*m**4. Factor y(j).
2*(j - 1)**2*(j + 1)/9
Let u be (-180)/(-72) - (-2)/4. Determine o so that u*o**2 + 18*o + 1/6*o**3 + 36 = 0.
-6
Let a = 11916 - 11916. Factor 3/2*g + a - 3/2*g**3 + 9/4*g**2.
-3*g*(g - 2)*(2*g + 1)/4
Let l(r) = r**3 - 5*r**2 + 2*r - 6. Let s = -13 + 18. Let c be l(s). Suppose 2*k**2 + 4*k**3 - c*k**3 - 2*k**3 = 0. Calculate k.
0, 1
Let q(k) be the first derivative of k**5/40 - k**3/12 - 26*k - 14. Let d(n) be the first derivative of q(n). Suppose d(m) = 0. What is m?
-1, 0, 1
Find x such that 0*x + 0 + 8/3*x**2 - 1/3*x**4 + 2/3*x**3 = 0.
-2, 0, 4
Let x(u) be the first derivative of -45 + 1/5*u**2 - 12/5*u + 1/10*u**4 + 8/15*u**3. What is n in x(n) = 0?
-3, -2, 1
Let i(t) be the third derivative of 9*t**8/448 + 15*t**7/56 + 187*t**6/160 + 41*t**5/16 + 13*t**4/4 + 5*t**3/2 - 43*t**2. Let i(x) = 0. What is x?
-5, -1, -2/3
Solve -78*l - 2/13*l**3 - 338 - 6*l**2 = 0.
-13
Let o(k) = 4*k**4 + 10*k**3 - 10*k**2 - 64*k - 46. Let q(b) = 13*b**4 + 31*b**3 - 28*b**2 - 190*b - 137. Let t(x) = -7*o(x) + 2*q(x). What is m in t(m) = 0?
-4, -2, -1, 3
Factor -8/3 - 2/9*g**2 - 16/9*g.
-2*(g + 2)*(g + 6)/9
Suppose -11*o - 150 = 4*o. Let y be (-10)/4*1*8/o. Let -3/4*l**5 + 0 + 0*l**3 - 3/2*l**y + 3/2*l**4 + 3/4*l = 0. Calculate l.
-1, 0, 1
Let c(s) = -3*s**2 - 1 + 10 + s**2. Let l(u) = -u**2 + 4. Let x be (1*-2)/(1/2). Let k(t) = x*c(t) + 9*l(t). Suppose k(m) = 0. What is m?
0
Let m(f) be the second derivative of -f**5/5 + 10*f**4/3 - 14*f**3 + f + 3. Factor m(z).
-4*z*(z - 7)*(z - 3)
Suppose 28/3*w + 49/6*w**2 + 8/3 = 0. Calculate w.
-4/7
Let z(p) be the first derivative of 0*p**3 - 2/55*p**5 + 11 + 0*p + 0*p**2 - 1/11*p**4. Factor z(g).
-2*g**3*(g + 2)/11
Suppose 4074 = 6*v + 4062. Determine w so that -128/5 + 96/5*w - 24/5*w**v + 2/5*w**3 = 0.
4
Suppose 2*s = 5*t + 14, -2*t + 7 = s - t. Let o(i) = 2*i**2 - i + 5. Let v(x) = -5*x + 3*x**2 + 0*x + 4*x + 7 + 0*x. Let w(f) = s*o(f) - 5*v(f). Factor w(c).
-c*(c + 2)
Let s be 157/(-2)*78/(-1287). Let z = s + -45/11. Factor 2/3 - z*k**2 + k.
-(k - 2)*(2*k + 1)/3
Let -1550/7*j + 6/7*j**3 - 2/7*j**4 + 3000/7 + 30*j**2 = 0. What is j?
-12, 5
Factor 4*z**2 + 9*z**3 - 4*z**3 - 2*z**2 - 2*z**3 - z**5.
-z**2*(z - 2)*(z + 1)**2
Let m(x) = 8 + 12*x - 5 - x**2 - 15*x + 7*x**2. Let n(k) = 5*k**2 - 5*k + 2. Let c(p) = 2*m(p) - 3*n(p). Find o such that c(o) = 0.
0, 3
Let u(v) be the third derivative of -v**7/105 + 11*v**6/60 - 7*v**5/30 - 49*v**4/4 - 66*v**2 + 4*v. Factor u(o).
-2*o*(o - 7)**2*(o + 3)
Let v(i) = -2*i**2 + 9*i - 10. Let h be v(2). Let q(c) be the second derivative of 1/4*c**4 + 1/30*c**6 + 3/20*c**5 + h*c**2 + c + 0 + 1/6*c**3. Factor q(m).
m*(m + 1)**3
Let b(j) be the second derivative of -4/45*j**6 - 2/3*j**3 + 0*j**2 + 4/15*j**5 + 0 - 13*j + 2/9*j**4 - 2/63*j**7. Solve b(u) = 0 for u.
-3, -1, 0, 1
Let o(g) be the second derivative of 0*g**3 + 0*g**6 - 1/252*g**7 + 0*g**4 + 0 + 32*g + 1/120*g**5 + 0*g**2. Factor o(a).
-a**3*(a - 1)*(a + 1)/6
Let x be (-3)/6*(-48)/3. Let a be (-9)/(-6) + 2/4. Suppose 6*g**3 + x*g**3 - 10*g**4 + 2*g**2 - 16*g - 19 + a*g**5 + 27 = 0. What is g?
-1, 1, 2
Let f be 156/(-91)*(-14)/36. Find g, given that 0 - 112/9*g**4 - f*g**3 - 32/3*g**5 + 2/9*g + 4/3*g**2 = 0.
-1, -1/4, 0, 1/3
What is m in -2*m**5