9*r - 154/9 + 2/9*r**2 = 0.
-11, 7
Let o = 3967/21758 + -1/1978. Suppose -2/11*q**5 - 2/11*q**4 + 4/11*q**2 - o*q + 4/11*q**3 - 2/11 = 0. What is q?
-1, 1
Let r be 6 - (12/3)/(-5 - -7). Let p(q) be the second derivative of 0*q**2 + 0 + 0*q**3 - 2/15*q**6 - q + 0*q**5 + 1/3*q**r. Factor p(o).
-4*o**2*(o - 1)*(o + 1)
Let g(b) be the first derivative of -b**6/120 - b**5/30 - b**4/24 + 7*b**2/2 + 44. Let t(n) be the second derivative of g(n). Solve t(q) = 0.
-1, 0
Let f(j) be the first derivative of j**5/50 - j**4/30 - j**3/15 + j**2/5 + 4*j - 2. Let m(t) be the first derivative of f(t). Solve m(i) = 0.
-1, 1
Let z(a) be the first derivative of -a**4/10 - 8*a**3/15 + 29*a**2/5 - 48*a/5 + 155. Factor z(n).
-2*(n - 3)*(n - 1)*(n + 8)/5
Let o be (-22)/20 + (-423)/(-282). Let -4/5 + 2/5*c + o*c**2 = 0. Calculate c.
-2, 1
Let a be (110/(-25) + 4)*5/(-2). Let 18*x - 8 - x**2 + 4*x**2 - 12 - a = 0. Calculate x.
-7, 1
Let c = 1533/4 - 370. Let s = -13 + c. Determine u, given that 1/4*u**4 - 1/4*u**5 + 1/2*u**3 - 1/2*u**2 - 1/4*u + s = 0.
-1, 1
Let v(q) = -5*q**2 - 37*q + 61. Let w(a) = -2*a**2 - 12*a + 20. Let f = -9 - 2. Let l(m) = f*w(m) + 4*v(m). Solve l(h) = 0.
2, 6
Let l(a) be the second derivative of -3/10*a**5 + 11*a + 1/2*a**4 - 1/3*a**3 + 1/15*a**6 + 0 + 0*a**2. Find s such that l(s) = 0.
0, 1
Let n(q) be the third derivative of q**6/144 + q**5/2 + 15*q**4 - 17*q**3/3 + 13*q**2. Let f(k) be the first derivative of n(k). Solve f(s) = 0 for s.
-12
Let w(o) be the third derivative of o**9/12096 - o**7/1008 + 2*o**5/15 + 10*o**2. Let d(a) be the third derivative of w(a). Factor d(r).
5*r*(r - 1)*(r + 1)
Let a(b) = -12*b**5 + 15*b**4 + 12*b**3 - 15. Let n(h) = -4*h**4 + 3*h**5 + h**3 + 2*h**2 - 4*h**3 + 4 - 2*h**2. Let q(p) = -4*a(p) - 15*n(p). Factor q(z).
3*z**3*(z - 1)*(z + 1)
Let s(a) be the third derivative of -a**8/112 - a**7/35 + 3*a**6/20 + a**5 + 19*a**4/8 + 3*a**3 + 7*a**2 + a. Let s(p) = 0. What is p?
-2, -1, 3
Let j(l) be the second derivative of l**5/150 - 2*l**4/15 + 16*l**3/15 - 7*l**2/2 + 10*l. Let x(m) be the first derivative of j(m). What is p in x(p) = 0?
4
Let t be 243 - 253 - 79/(-7). Determine v, given that 3/7*v**3 + t*v + 27/7 - 15/7*v**2 = 0.
-1, 3
Let d be (10/(-4))/((-6090)/1624). Determine f so that -2 + 4/3*f**2 + d*f = 0.
-3/2, 1
Let b(p) be the third derivative of -p**6/420 + 19*p**5/210 - 4*p**4/7 - 600*p**2. Factor b(j).
-2*j*(j - 16)*(j - 3)/7
Suppose -5*g - 5 = 2*m - 4*g, 5*m = -5*g - 25. Find j such that 3*j**2 + 3*j + 5*j + m*j + 3 - 2*j = 0.
-1
Let o(f) be the second derivative of -f**5/130 - 59*f**4/78 - 899*f**3/39 - 841*f**2/13 + 302*f. Factor o(w).
-2*(w + 1)*(w + 29)**2/13
Factor -278/3 + 7/3*s**2 - 971/3*s.
(s - 139)*(7*s + 2)/3
Let h be (-4)/5 - 22/10. Let y be 2 + 3/9*(h - 1). Factor y*m**2 + 2/3*m**3 - 2/3*m - 2/3.
2*(m - 1)*(m + 1)**2/3
Let l be 6/(-9) - (-6515)/30. Let z = 221 - l. What is f in -f + 0 - 3/2*f**4 - 5*f**3 - z*f**2 = 0?
-2, -1, -1/3, 0
Suppose 26*f = 31*f - 40. Suppose -2*c - 4 = -f. Suppose -3/2 - g - 1/6*g**c = 0. Calculate g.
-3
Suppose 0 = -3*w + 13*w - 140. Factor -33*b + 33*b - 16 - w*b**2 + 18*b**2.
4*(b - 2)*(b + 2)
Let i(h) = -4*h**5 + h**4 + 18*h**3 + 17*h**2 - h + 5. Let u(k) = -k**5 - k**4 + k**3 + k**2 - k + 1. Let r(z) = 4*i(z) - 20*u(z). Factor r(b).
4*b*(b + 1)**2*(b + 2)**2
Let o = -27 + 31. Let z(k) = o*k**3 + 3*k**4 - 4*k**3 - k**2 - 4*k**4. Let m(l) = 10*l**4 - 10*l**3 + 15*l**2. Let y(b) = -m(b) - 15*z(b). Factor y(a).
5*a**3*(a + 2)
Suppose -c + 2*t - 10 = -7, 0 = 5*c + 2*t - 21. Factor 12/7 - 6/7*k**c - 12/7*k**2 + 6/7*k.
-6*(k - 1)*(k + 1)*(k + 2)/7
Let s = -53261/2 - -26635. Factor 0*t**2 + 15*t**4 - 3 + s*t**5 + 15*t**3 - 15/2*t.
3*(t + 1)**4*(3*t - 2)/2
Let h(r) = 0 + 0 - r**3. Suppose 0 = 23*f + 382 - 244. Let o(l) = -l**4 + 4*l**3 + l**2 - l. Let j(w) = f*h(w) - 2*o(w). Solve j(m) = 0.
-1, 0, 1
Solve 3/4*d**4 + 0 + 9/4*d**3 - 3/4*d**2 - 9/4*d = 0.
-3, -1, 0, 1
Let s(w) = -w - 6. Let b be s(-6). Let x = 27236 - 27234. Let 1/5*q**x + b*q - 1/5 = 0. Calculate q.
-1, 1
Factor -8*l**2 + 4*l**3 - 47*l**3 - 41*l**3 - 35 + 53 + 14 + 336*l.
-4*(l - 2)*(l + 2)*(21*l + 2)
Let w be (1645/(-25))/1 - (1 - -1). Let s = 68 + w. Let -s*z**2 - 1/5*z + 0 = 0. What is z?
-1, 0
Let q = -451/30 - 474/5. Let u = q + 110. Solve 2/3 - u*z**2 + 1/2*z = 0 for z.
-1, 4
Factor 14 + 6*x**3 + 9*x - 43 - 7*x**3 - x**2 + 15 + 23.
-(x - 3)*(x + 1)*(x + 3)
Let g(y) be the third derivative of y**9/5040 - y**8/560 - y**7/840 + y**6/60 - 7*y**4/8 - 6*y**2. Let v(u) be the second derivative of g(u). Factor v(p).
3*p*(p - 4)*(p - 1)*(p + 1)
Let n be 40/25 - 196/(-490). Solve -1/2*z**4 - 2*z - 3/2*z**2 + 2*z**3 + n = 0.
-1, 1, 2
Let i(u) be the first derivative of 105*u**4/8 + 131*u**3/3 + 47*u**2 + 20*u + 178. Find z, given that i(z) = 0.
-10/7, -2/3, -2/5
Let i(u) be the first derivative of -3*u**5/100 + u**4/4 + 3*u**3/5 - 6*u - 11. Let x(a) be the first derivative of i(a). Factor x(t).
-3*t*(t - 6)*(t + 1)/5
Suppose 0 = -76*k - 5*k + 243. Let o(d) be the second derivative of 3/20*d**4 - 9/10*d**3 + k*d + 27/10*d**2 - 1/100*d**5 + 0. Find z, given that o(z) = 0.
3
Let f(d) = -d**3 - d**2 + 3*d + 2. Let z be f(-2). Suppose -162 = 17*t - 196. Solve -1/2*w - 3/2*w**t - 3/2*w**3 + z - 1/2*w**4 = 0 for w.
-1, 0
Factor 0 + 0*j**2 + 0*j - 9/2*j**3 - 8*j**5 - 12*j**4.
-j**3*(4*j + 3)**2/2
Let n(y) = 1 + 3*y**3 + 7 + 4 - 4 - 9*y**2. Let a(x) = 3*x**3 - 9*x**2 + 7. Let p(h) = -4*a(h) + 5*n(h). Factor p(j).
3*(j - 2)**2*(j + 1)
Let c(b) = -b**4 - b**3 - 2*b**2 + 2*b + 2. Let d(w) = 2*w**4 + 4*w**3 - 10*w**2 + 2*w + 2. Let y(h) = -5*c(h) + 5*d(h). Find i such that y(i) = 0.
-8/3, 0, 1
Let l(g) be the third derivative of -g**8/1344 - 11*g**7/840 - 7*g**6/80 - 9*g**5/40 + 9*g**4/32 + 27*g**3/8 + 2*g**2 + 1. Factor l(r).
-(r - 1)*(r + 3)**4/4
Find y, given that 3/2*y**3 + 6*y**2 + 3/2*y - 9 = 0.
-3, -2, 1
Factor -16/3*a**2 - 1/6*a**3 - 221/6*a + 289/3.
-(a - 2)*(a + 17)**2/6
Let p = 303/356 - 9/89. Let f(s) be the first derivative of p*s**2 + s + 1/6*s**3 - 3. Factor f(h).
(h + 1)*(h + 2)/2
Suppose 5*q = 121 - 91. Let p(o) be the third derivative of 0 + 0*o + 1/70*o**7 + 0*o**3 - 9*o**2 + 0*o**4 + 1/40*o**q - 1/10*o**5. Factor p(b).
3*b**2*(b - 1)*(b + 2)
Let x(v) be the third derivative of 9*v**6/80 - v**5 + 37*v**4/36 - 4*v**3/9 - 17*v**2. Factor x(d).
(d - 4)*(9*d - 2)**2/6
Let g(j) = -2*j + 4. Suppose -h - 4*h = 25. Let d be g(h). Determine b, given that 3*b**4 - 2 - 6*b**2 - 4 + 2 + 7*b**4 + d*b**3 - 14*b = 0.
-1, -2/5, 1
Determine q so that -2/13*q**3 + 6/13*q**2 - 4/13*q + 0 = 0.
0, 1, 2
Let a(y) be the first derivative of y**6/90 - 4*y**5/15 + 20*y**3/3 - 32. Let k(n) be the third derivative of a(n). Factor k(w).
4*w*(w - 8)
Let h(z) be the third derivative of z**7/70 + 3*z**6/40 - 6*z**5/5 - 10*z**4 - 80*z**2. Factor h(w).
3*w*(w - 5)*(w + 4)**2
Suppose 806*w = 851*w. Factor w + 3/5*q**2 + 6/5*q.
3*q*(q + 2)/5
Let i(h) = -2*h**2 + 105*h - 49. Let k be i(52). Factor 0 - 2*o**k - 6/5*o + 14/5*o**2 + 2/5*o**4.
2*o*(o - 3)*(o - 1)**2/5
Let q(p) be the first derivative of 1/20*p**5 + 2/3*p**3 + 0*p + 5 + 5/16*p**4 + 1/2*p**2. What is v in q(v) = 0?
-2, -1, 0
Let o(x) = -x**4 - 2*x**3 - 2*x**2 + 2*x. Let a(q) be the first derivative of q**5/5 + q**4/4 - q**3/3 - q**2/2 + 22. Let m(k) = 2*a(k) + o(k). Factor m(i).
i**2*(i - 2)*(i + 2)
Factor 1/2*f**3 + 4*f + 2 + 5/2*f**2.
(f + 1)*(f + 2)**2/2
Suppose 89*t + 33 = -33 + 244. Let -45/2*f**t - 147/2 + 189/2*f + 3/2*f**3 = 0. What is f?
1, 7
Let z(h) be the first derivative of -h**6/90 + 7*h**5/120 + h**4/12 + 7*h**3 - 19. Let u(v) be the third derivative of z(v). Factor u(l).
-(l - 2)*(4*l + 1)
Let v(x) = 66*x**2 + 519*x + 507. Let k be 57/(-76)*16/(-6). Let d(g) = 5*g**2 + 40*g + 39. Let s(q) = k*v(q) - 27*d(q). Factor s(c).
-3*(c + 1)*(c + 13)
Let -45/8*g**2 - 1/8*g**4 + 0 - 3/2*g**3 - 25/4*g = 0. Calculate g.
-5, -2, 0
Suppose 2 = -12*o + 13*o. Suppose 5*u**o - 20*u - 14*u**2 - 20 + 4*u**2 + 0*u**2 = 0. Calculate u.
-2
Suppose 3*o + 3*p = 18, 6 = 3*o - 4*p + p. Let q = 4 - o. Factor -6*z**5 - 4*z**3 + 10*z**5 + q*z**5.
4*z**3*(z - 1)*(z + 1)
Let m(d) be the first derivative of -1/5*d**5 + 0*d + 1/3*d**3 - 2 - d**2 + 1/2*d**4. Factor m(j).
-j*(j - 2)*(j - 1