+ s**2 + m*s**2.
3*s*(s - 2)
Let a be 0/(-5)*(-1)/3. Let x(c) be the first derivative of -5/6*c**3 + a*c - 8 - 1/2*c**2 - 3/8*c**4. Factor x(p).
-p*(p + 1)*(3*p + 2)/2
Let u be (15/10)/((-1)/(-2)). Factor -w**2 + 2 + 5*w**2 + u*w - 3*w**2.
(w + 1)*(w + 2)
Let i(g) = -g**2 + 9*g - 10. Let r be i(7). Let l be 3/(-2) - (-14)/r. Factor 0*f**5 + l*f**3 + f**5 - 3*f**5.
-2*f**3*(f - 1)*(f + 1)
Let d(i) be the first derivative of -3/14*i**4 + 4/7*i - 26 - 2/21*i**3 - 2/35*i**5 + 3/7*i**2. Suppose d(y) = 0. What is y?
-2, -1, 1
Let j(z) be the third derivative of z**7/70 - 3*z**6/20 - 3*z**5/4 - z**4 - 52*z**2 - z. Find a, given that j(a) = 0.
-1, 0, 8
Suppose 1/5*p**2 - 13/5*p - 14/5 = 0. Calculate p.
-1, 14
Let x = -7 - -11. Suppose -2*t = -m - 3 - 14, -t + 2*m + x = 0. Let 17*n**3 + 3*n**5 + t*n**4 + n**3 + 12*n**2 - 2*n**4 + 3*n + 4*n**4 = 0. What is n?
-1, 0
Let i = 12 - 10. Factor i*f**4 - 3*f**4 + 11*f**3 - 3*f**2 + 4*f**4 - 14*f**3 + 3*f**5.
3*f**2*(f - 1)*(f + 1)**2
Suppose 0 = 5*b - 17 - 33. Suppose -b*k = -4*k - 30. Suppose 3/2*w**2 + 0*w - 3/2*w**k + 0 + 3/2*w**3 - 3/2*w**4 = 0. What is w?
-1, 0, 1
Let p be 6*5/30 + (1 - 0). Let f be 3/2 + p*(-5)/(-20). Find h, given that -3/7*h**f - 9/7*h - 6/7 = 0.
-2, -1
Suppose -37 = -3*i - 10. Let c be i/(-18) - (1/2 - 3). Factor -4/7*z + 0 + 4/7*z**3 - 2/7*z**c + 2/7*z**4.
2*z*(z - 1)*(z + 1)*(z + 2)/7
Let v = 3193 - 28913/9. Let d = -799/45 - v. Find g, given that -1/5*g**3 - d - 7/5*g**2 - 3*g = 0.
-3, -1
Let c(h) be the third derivative of -37/105*h**7 + 1/24*h**8 + 7/3*h**4 - 4/3*h**3 + 6*h**2 - 67/30*h**5 + 73/60*h**6 + 0*h + 0. Suppose c(n) = 0. What is n?
2/7, 1, 2
Let h(p) be the third derivative of -1/504*p**8 + 0 - 32/9*p**3 + 27*p**2 - 2/63*p**7 - 2/9*p**6 - 20/9*p**4 - 8/9*p**5 + 0*p. Factor h(i).
-2*(i + 2)**5/3
Solve -18 + 9*o**2 - 9*o - 1/3*o**3 - 1/3*o**4 = 0.
-6, -1, 3
Let x(b) be the first derivative of -5*b + 15/2*b**2 + 7 - 5*b**3 + 5/4*b**4. Factor x(f).
5*(f - 1)**3
Let -3/7*a**5 + 0*a**2 - 3/7*a**3 + 0*a + 0 + 6/7*a**4 = 0. What is a?
0, 1
Let h(z) be the second derivative of -1/15*z**4 + 0*z**2 - 2*z + 0*z**3 + 0. Determine t, given that h(t) = 0.
0
Let h(p) be the third derivative of 0 + 0*p**3 + 16*p**2 - 1/288*p**8 - 1/60*p**5 - 1/105*p**7 + 0*p + 0*p**4 + 5/144*p**6. Determine w so that h(w) = 0.
-3, 0, 2/7, 1
Let j(m) = m**3 + 10*m**2 - 10*m - 2. Let i be j(-9). Let d = i - 1181/7. Factor -d*o**3 - 2/7 + 2/7*o**2 + 2/7*o.
-2*(o - 1)**2*(o + 1)/7
Let w(k) be the third derivative of 3*k**7/490 + k**6/20 + 23*k**5/140 + 2*k**4/7 + 2*k**3/7 - 300*k**2. Find b such that w(b) = 0.
-2, -1, -2/3
Let n(h) be the third derivative of -h**8/896 - h**7/56 - 3*h**6/160 + h**5/5 + 47*h**4/64 + 9*h**3/8 + 2*h**2 - 47*h. Let n(b) = 0. What is b?
-9, -1, 2
Suppose -5*j - 4*w - 406 = 0, 4*w - 330 = 4*j + 2*w. Let z = -80 - j. Determine k, given that 0*k + 0 + 4/7*k**z + 10/7*k**3 = 0.
-2/5, 0
Let u(n) be the third derivative of 4/735*n**7 - 1/28*n**6 + 0 + 1/7*n**3 + 1/10*n**5 - 13/84*n**4 - 39*n**2 + 0*n. Let u(i) = 0. Calculate i.
3/4, 1
Let c(j) be the third derivative of 0 + 1/600*j**6 + 1/100*j**5 + 13*j**2 - 1/1050*j**7 - 1/15*j**3 + 0*j - 1/120*j**4. Solve c(i) = 0.
-1, 1, 2
Let m(b) = -3. Let d(y) = y**2 + 2*y + 12. Suppose -a + 5 = -10. Let z = a + -12. Let u(q) = z*d(q) + 12*m(q). Factor u(n).
3*n*(n + 2)
Let v = -3 + 6. Suppose 5*w - 12 = 3*n, 4*w = n + v + 1. What is g in 2*g**2 + w*g + 0*g**2 - 4*g = 0?
0, 2
Suppose -5*n = 5*r - 15 - 0, -3*r - 5*n = -5. Suppose -4 = -4*d + u + 7, -3*d = -r*u - 21. Determine l so that 5 - l + 16*l + 3*l**d + 7 = 0.
-4, -1
Let z(w) be the second derivative of -3*w**5/100 + 2*w**4/15 - w**3/10 - w**2/5 - 79*w. Determine m so that z(m) = 0.
-1/3, 1, 2
Let i be (18/30 + -1)*(-6)/4. Let k = -149 - -151. Factor 0 + i*q + 1/5*q**k.
q*(q + 3)/5
Let o(u) = -3*u**2 + 13*u + 10. Let t(v) = v**2 - v + 1. Let p(d) = 3*o(d) + 12*t(d). Factor p(a).
3*(a + 2)*(a + 7)
Let p(o) be the first derivative of 0*o**2 - 9 + 0*o - 1/4*o**4 + 0*o**3 - 1/5*o**5. Factor p(z).
-z**3*(z + 1)
Let d be (-6)/(-33)*1375/1500. Let d*m**2 + 1/2*m + 0 = 0. Calculate m.
-3, 0
Factor -7*v + 36/5*v**3 + 16/5*v**4 - 18/5 + 2/5*v**2 - 1/5*v**5.
-(v - 18)*(v - 1)*(v + 1)**3/5
Let b = 1/9915 + 352533/3305. What is f in 80/3 + 30*f**4 - 20*f + 95*f**3 - b*f**2 = 0?
-4, -1/2, 2/3
Let m(v) be the third derivative of -5*v**8/672 - v**7/42 - 1028*v**2. Let m(h) = 0. What is h?
-2, 0
Let s(z) = z**5 - z**4 + z**2 - 2*z. Let q(y) = -5*y**5 + 30*y**4 - 40*y**3 - 220*y**2 - 25*y + 270. Let j(t) = q(t) + 10*s(t). Solve j(d) = 0 for d.
-3, -2, 1, 3
Let y(d) = -3*d**4 + 16*d**3 - 5*d**2 + 4*d. Let l(o) = -2*o**4 + 16*o**3 - 5*o**2 + 5*o. Let j(c) = 6*l(c) - 7*y(c). Find s such that j(s) = 0.
-2/9, 0, 1
Determine y, given that 4437/5*y - 867/5 + 423/5*y**3 - 12/5*y**4 - 3981/5*y**2 = 0.
1/4, 1, 17
Let n(k) be the second derivative of 0 + 1/20*k**5 + 0*k**2 + 1/60*k**6 - 1/24*k**4 + 35*k - 1/6*k**3. Factor n(m).
m*(m - 1)*(m + 1)*(m + 2)/2
Let u = 68 - 66. Let j be (-36)/315 + u/5. Solve 0 - j*q**3 + 4/7*q**2 - 2/7*q = 0.
0, 1
Factor -54 + 1/4*v**4 + 189/4*v - 45/4*v**2 - 1/4*v**3.
(v - 3)**3*(v + 8)/4
Let n(k) be the first derivative of k**8/3360 + k**7/1680 - k**6/720 - k**5/240 - 13*k**3/3 - 28. Let t(h) be the third derivative of n(h). Factor t(p).
p*(p - 1)*(p + 1)**2/2
Let 21/2 - 3/8*z**2 - 9/2*z = 0. Calculate z.
-14, 2
Suppose 2*p + 15 = 3*p. Suppose -2*y - 5*n = -11, 0*y - 2*n = -3*y + 26. Find k such that y*k + k - 4*k**2 - p*k + 4*k**3 - 2 + 2*k**5 + 6*k**4 = 0.
-1, 1
Let m(b) = 5*b**3 + 4*b**2 + 2. Let o(s) = 27*s**3 + 19*s**2 + 11. Let f(c) = 22*m(c) - 4*o(c). Factor f(w).
2*w**2*(w + 6)
Let z(g) be the third derivative of -g**8/2016 - g**7/315 - g**6/120 - 2*g**5/5 + 6*g**2 - 5. Let b(f) be the third derivative of z(f). Solve b(c) = 0.
-1, -3/5
Let s(r) be the third derivative of -10/3*r**3 + 0*r**4 + 0*r + 5*r**2 + 1/12*r**5 + 0. Factor s(p).
5*(p - 2)*(p + 2)
Let h = 1263 - 2517/2. Find o, given that -h*o + 3 + 3/2*o**2 = 0.
1, 2
Let q(s) = -7*s**3 + 5*s**2 - 5*s + 7. Let y(k) = -6*k**3 + 6*k**2 - 6*k + 6. Suppose -7*c - 9 + 37 = 0. Let a(b) = c*y(b) - 3*q(b). Factor a(i).
-3*(i - 1)**3
Suppose 3/2*y**2 - 6 - 27/4*y**3 + 27*y = 0. What is y?
-2, 2/9, 2
Let b be 354/590*10/3. Let -2 - 1/2*d**2 + b*d = 0. Calculate d.
2
Let f(b) be the third derivative of 8*b**6/75 - b**5/75 + 3*b**2 + 13. Suppose f(a) = 0. What is a?
0, 1/16
Factor 84*t**4 - 10*t**3 - 176*t**4 + 96*t**4 + 56*t**2 + 32*t + 38*t**3.
4*t*(t + 1)*(t + 2)*(t + 4)
Let t(v) = -v**2 - 7*v - 6. Let o be t(-6). Factor -6*g**3 + 2*g**4 + 4*g**2 - g**5 - 3*g + o*g**2 + 2*g + 2*g**4.
-g*(g - 1)**4
Let w(n) be the second derivative of n**6/60 - 7*n**5/40 - n**4/8 + 19*n**3/12 + 7*n**2/2 + 378*n. Factor w(j).
(j - 7)*(j - 2)*(j + 1)**2/2
Suppose -5*h + r = 6*h, -5*h - 2*r = 0. Let z(s) be the first derivative of -11 + h*s**5 + 0*s**2 + 0*s**3 - 1/21*s**6 + 1/14*s**4 + 0*s. Factor z(m).
-2*m**3*(m - 1)*(m + 1)/7
Suppose 5*d - 6*d + 11 = 0. Let r(p) = -15*p**3 - 13*p**2 + 4*p + 2. Let b(l) = 76*l**3 + 66*l**2 - 21*l - 11. Let f(j) = d*r(j) + 2*b(j). Factor f(c).
-c*(c + 1)*(13*c - 2)
Let h(i) = 20*i**2 + 132*i + 112. Let t(p) = -p**2. Let a(m) = 12*m**2 + 53*m + 45. Let q(k) = a(k) + 4*t(k). Let g(n) = -5*h(n) + 12*q(n). Factor g(b).
-4*(b + 1)*(b + 5)
Factor 0*x + 5/2*x**4 + 0 + 25/4*x**3 + 0*x**2 + 1/4*x**5.
x**3*(x + 5)**2/4
Let z(a) = a**2 + 33*a + 29. Let h(r) = r**2 + 32*r + 29. Let q(y) = -3*h(y) + 2*z(y). Suppose q(w) = 0. What is w?
-29, -1
Let o = 53 + -56. Let v(r) = -3*r**5 + 7*r**4 - 8*r**2 + r + 3. Let g(k) = -3*k**5 + 8*k**4 - k**3 - 9*k**2 + k + 4. Let f(d) = o*v(d) + 2*g(d). Factor f(u).
(u - 1)**3*(u + 1)*(3*u + 1)
Let j be ((-3)/1392)/(10142/(-1688) - -6). Let c = j + -2/203. Factor -1/2 - c*i + 1/2*i**2 + 1/4*i**3.
(i - 1)*(i + 1)*(i + 2)/4
Solve -103058/9 - 2/9*d**2 + 908/9*d = 0 for d.
227
Factor -4*x**2 - 7*x**2 + 0*x**2 + x**2 - 5*x**5 + 15*x**4 - 5*x**4 + 5*x.
-5*x*(x - 1)**3*(x + 1)
Suppose 5*m - 10 = 0, 0*h + 5*m = -3*h + 25. Let 3*l**2 + 3*l - 5 + h*l**3 + 6 - 4*l**3 = 0. Calculate l.
-1
Let m = -17 + 19. Factor n**4 - 6*n**2 + 4*n**2 - n**2 + m*n.
n*(n - 1)**2*(n + 2)
Suppose 0 = 3*v + 3*h - 24, 0*v + 22 