Factor 12/5*h - 2/5*h**2 + 32/5.
-2*(h - 8)*(h + 2)/5
Let o be -3*(3/(-1) - (-6)/3). Factor 36*x**2 + 5*x - 3 - x - 28*x**2 - 4*x**o - 5.
-4*(x - 2)*(x - 1)*(x + 1)
Let y = -37778/7 - -5397. Let 1/7*a + 2/7 + 1/7*a**4 - y*a**3 - 3/7*a**2 = 0. Calculate a.
-1, 1, 2
Let r be 2 - (0/(-2))/(10/5). Factor 1228*p**2 + 16*p**4 - 8*p + 42*p**3 - 1208*p**r + 2*p**3.
4*p*(p + 1)*(p + 2)*(4*p - 1)
Factor -2/3*d**2 - 80 - 46/3*d.
-2*(d + 8)*(d + 15)/3
Suppose -5*n - 23 = k, -1 - 15 = 2*k + 4*n. Find f, given that -1/2*f**k + f + 0 = 0.
0, 2
Suppose 182*a - 6 + 182*a - 363*a + a**2 = 0. What is a?
-3, 2
Let q be (-4 - -7)/(190/20 - 8). Factor 0 + 0*g - 2*g**3 + 12/7*g**q + 2/7*g**4.
2*g**2*(g - 6)*(g - 1)/7
Let p(l) be the second derivative of -l**6/39 - l**5/10 - 3*l**4/26 + l**3/39 + 2*l**2/13 - 412*l. Factor p(m).
-2*(m + 1)**3*(5*m - 2)/13
Let z(s) be the first derivative of -4/11*s**2 - 8/11*s - 11 + 1/22*s**4 + 2/33*s**3. Find f, given that z(f) = 0.
-2, -1, 2
Let g(j) = -17*j**3 + 229*j**2 - 878*j - 320. Let i(a) = -a**3 - 3*a**2 + a. Let o(c) = g(c) - 2*i(c). Factor o(b).
-5*(b - 8)**2*(3*b + 1)
Suppose -56 = -2*j - 52, -6 = -5*v - 3*j. Suppose 2/5*o**2 + 0 + v*o = 0. What is o?
0
Let s(q) be the second derivative of -q**5/10 - 2*q**4 - 12*q**3 - 2*q + 231. Let s(x) = 0. Calculate x.
-6, 0
Let f = 75 - 75. Let p(h) be the second derivative of 0*h**2 - 4*h + 0*h**3 - 1/54*h**4 + f. Factor p(k).
-2*k**2/9
Let m(i) = 14*i**2 - 17*i - 17. Suppose 0*k = 6*k + 24. Let j(z) = 1 + 13 - 4 + 6 + 16*z - 13*z**2. Let u(o) = k*m(o) - 5*j(o). Find c such that u(c) = 0.
-2/3, 2
Let g be 2/6*(1 - (10 - 18)). Let b(s) be the first derivative of -1/14*s**4 - 6 + 2/7*s + 2/7*s**g - 3/7*s**2. Factor b(l).
-2*(l - 1)**3/7
Let u(a) = 14*a**4 + 32*a**3 + 21*a**2 + 2*a - 18. Let h(q) = -5*q**4 - 11*q**3 - 7*q**2 - q + 6. Let r(x) = -17*h(x) - 6*u(x). Find j such that r(j) = 0.
-1, 1, 6
Let x(s) be the second derivative of -3*s**7/14 + 97*s**6/5 - 480*s**5 + 512*s**4 - 170*s. Suppose x(z) = 0. What is z?
0, 2/3, 32
Let q(x) = -11*x + 26. Let k(l) = 6*l - 13. Let j(m) = -5*k(m) - 3*q(m). Let s be j(5). Factor -4/9*r + 2/9*r**s + 0.
2*r*(r - 2)/9
Let s(p) = 2*p**2. Let q(n) = 5*n**2 + 5. Let t(m) = q(m) - 5*s(m). Determine x, given that t(x) = 0.
-1, 1
Let n(q) be the first derivative of -q**3/6 - 5*q**2/4 + 7*q + 13. Factor n(h).
-(h - 2)*(h + 7)/2
Let n(a) be the third derivative of a**5/20 - 13*a**4/8 + 6*a**3 + 190*a**2. Find v, given that n(v) = 0.
1, 12
Let s(n) be the third derivative of n**5/60 - 5*n**4/24 - 4*n**3 - 10*n**2 + 28. Solve s(w) = 0.
-3, 8
Let x(v) be the third derivative of v**8/672 - v**7/140 - v**6/60 - 54*v**2. Suppose x(l) = 0. What is l?
-1, 0, 4
Let s(x) be the third derivative of -1/270*x**5 + 0*x - 1/18*x**4 + 2*x**2 + 29 - 5/27*x**3. Factor s(n).
-2*(n + 1)*(n + 5)/9
Suppose -14*i - 4*t + 20 = -10*i, -3*i - 25 = -5*t. Factor 0*p**3 + 0*p + i*p**2 + 5/2*p**4 + 0.
5*p**4/2
Suppose 6 = 2*n - 2*s - 2, 0 = 3*n + 2*s - 22. Suppose -5*q + 5*r = 10, -16*q + 11*q - 3*r + n = 0. Factor -1/2*k**2 + 0 + q*k.
-k**2/2
Let p(q) be the third derivative of 1/96*q**4 - 7/240*q**5 - 4*q**2 + 1/6*q**3 + 0*q - 1/480*q**6 + 1/280*q**7 + 0. What is z in p(z) = 0?
-1, 1, 4/3
Let z be (1/(-12))/((-7)/70*(-74)/(-111)). Find a, given that 1/4*a**2 + 0 + z*a = 0.
-5, 0
Let l be (-3)/2*2/(-3). Suppose d - 3 = -l. What is h in 7*h**2 + 37*h**3 + d - 19*h**2 - 16*h - 20*h**4 + 9*h = 0?
-2/5, 1/4, 1
Let p(f) = -84*f**3 - 666*f**2 - 729*f - 201. Let d(x) = -12*x**3 - 95*x**2 - 104*x - 29. Let a(o) = 27*d(o) - 4*p(o). Determine i, given that a(i) = 0.
-7, -1, -1/4
Let a be 288/1560 - ((-13)/15 - -1). Let l(p) be the first derivative of 7 + 0*p + a*p**3 - 2/13*p**2 + 1/26*p**4. Factor l(f).
2*f*(f - 1)*(f + 2)/13
Let w be (-3 - 9)*((-30)/(-81))/(-10). Determine n so that 16/9*n**3 - 2/9*n**2 + 0 - 10/9*n**4 - w*n = 0.
-2/5, 0, 1
Let d be 686/280 + -1 + (-28)/(-16). Factor -2/5*s**4 - 64/5*s - 48/5*s**2 - 32/5 - d*s**3.
-2*(s + 2)**4/5
Let a = 5/4 - 1/2. Let p = -302 - -305. Factor -a + 3/4*f - 3/4*f**p + 3/4*f**2.
-3*(f - 1)**2*(f + 1)/4
Let a(v) be the second derivative of 8*v - 8/3*v**3 + 1/6*v**4 - 9*v**2 + 2. Let a(x) = 0. What is x?
-1, 9
Find j such that -20/3*j**2 + 1/3*j**4 + j**3 - 16*j + 64/3 = 0.
-4, 1, 4
Let w(g) = 9*g**2 - 1. Let f(b) = -112*b**2 + 36*b + 12. Let l(r) = f(r) + 12*w(r). Factor l(p).
-4*p*(p - 9)
Let k be ((-8)/1)/((-100)/75). Let t(j) be the first derivative of k - 4*j**2 - 1/3*j**3 - 16*j. Factor t(h).
-(h + 4)**2
Suppose 5*g - 2*u + 43 = -u, 0 = 4*g + 5*u + 46. Let v be 1 + (3/6 - -1)/g. Factor 1/6*n**2 + v*n**3 + 2/3 - 1/6*n**5 - 1/6*n**4 - 4/3*n.
-(n - 1)**3*(n + 2)**2/6
Let q(f) be the second derivative of 0*f**2 + 0 + 2/21*f**3 + 0*f**5 + 13*f - 1/14*f**4 + 1/105*f**6. Solve q(o) = 0 for o.
-2, 0, 1
Let v(t) be the third derivative of -t**8/168 + 10*t**7/273 - 31*t**6/780 - t**5/65 - 282*t**2. Determine o so that v(o) = 0.
-2/13, 0, 1, 3
Let r(b) = b**2 + 5. Let v(o) = 3*o**2 + 21*o + 10. Let w(l) = 2*r(l) - v(l). Factor w(m).
-m*(m + 21)
Let l(r) be the third derivative of -r**5/390 - 5*r**4/26 - 75*r**3/13 - 102*r**2 + 1. Find i such that l(i) = 0.
-15
Let u(z) be the first derivative of z**8/504 - 25*z**2/2 + 14. Let d(q) be the second derivative of u(q). Determine s, given that d(s) = 0.
0
Let l(p) be the first derivative of 4*p**2 - 29 + 2/9*p**3 + 24*p. Determine d so that l(d) = 0.
-6
Factor 6*l**3 + 6*l**2 - 12 + 0 + 15*l - 29*l - 2*l**4.
-2*(l - 3)*(l - 2)*(l + 1)**2
Let a(x) be the second derivative of 1/2*x**3 + 0*x**2 - 14*x + 0 + 1/24*x**4. Find w, given that a(w) = 0.
-6, 0
Let b(d) be the third derivative of d**8/35280 - d**7/2940 + 13*d**5/60 - 18*d**2. Let z(v) be the third derivative of b(v). Determine r, given that z(r) = 0.
0, 3
Suppose 776 = 196*w - 8. Factor 0*g + 2/9*g**5 + 8/9*g**3 + 0*g**2 - 8/9*g**w + 0.
2*g**3*(g - 2)**2/9
Suppose 3*b - 8 = 19*m - 14*m, -2*m - 7 = -5*b. Let f be 1 - 5/(-15)*m. Factor 1/3 - f*v - 1/3*v**4 + 2/3*v**3 + 0*v**2.
-(v - 1)**3*(v + 1)/3
Factor -38/11 + 2/11*v**2 + 36/11*v.
2*(v - 1)*(v + 19)/11
Let t = 709/280 - 53/21. Let b(n) be the third derivative of 0*n - t*n**5 - 1/12*n**4 + 0 + 4*n**2 - 1/4*n**3. Factor b(d).
-(d + 1)*(d + 3)/2
Let w(d) = d**2 - 23*d + 14. Let j be w(23). Let x = j + -111/8. Factor -x*k**2 - 1/2 - 1/2*k.
-(k + 2)**2/8
Let o = -51 + -19. Let k be 1 - 7/(o/192). Find w, given that 20*w**5 - 4/5 - k*w**2 - 64/5*w**3 + 21*w**4 - 36/5*w = 0.
-1, -2/5, -1/4, 1
Let a(y) be the second derivative of 0 + 0*y**3 + 2/21*y**7 + 4/15*y**6 + 0*y**2 + 1/5*y**5 + 0*y**4 - 32*y. Solve a(q) = 0.
-1, 0
Let c(u) be the first derivative of -3*u**5/5 - 21*u**4/2 - 53*u**3 - 114*u**2 - 108*u - 274. Factor c(t).
-3*(t + 1)*(t + 2)**2*(t + 9)
Let x(t) be the third derivative of t**7/105 + 7*t**6/270 - 4*t**5/135 - 238*t**2 - 2*t. Factor x(d).
2*d**2*(d + 2)*(9*d - 4)/9
Factor -j**2 + 16/7 + 8/7*j + 1/7*j**3.
(j - 4)**2*(j + 1)/7
Let h be (-189)/45*(0/2 + 5). Let g be 2*3/h*-1. Let -2/7*a - g*a**2 + 0 = 0. What is a?
-1, 0
Let u(i) = i**4 - i**3 + i**2 + 2. Let d(z) = -9*z**4 - 81*z**3 + 84*z**2 - 12. Let m(g) = d(g) + 6*u(g). Factor m(k).
-3*k**2*(k - 1)*(k + 30)
Let m(l) be the second derivative of -1/20*l**5 + 0 + 49/2*l**2 - 35/6*l**3 - 13/12*l**4 - 2*l. Determine u, given that m(u) = 0.
-7, 1
Determine b, given that 81*b**4 - 24*b**3 - 185*b**4 + 9*b**2 - 18*b**5 - b**2 + 54*b**4 = 0.
-2, -1, 0, 2/9
Let s(n) be the second derivative of 4*n**2 - 4*n - 1/2*n**5 - 16/3*n**3 + 0 + 17/6*n**4. Factor s(c).
-2*(c - 2)*(c - 1)*(5*c - 2)
Let l(k) be the first derivative of -9/4*k**2 + 27*k - 2*k**3 + 3/8*k**4 - 22. Factor l(w).
3*(w - 3)**2*(w + 2)/2
Let w(d) be the first derivative of -d**4/16 + d**3/3 - 3*d**2/8 + 110. Determine a so that w(a) = 0.
0, 1, 3
Let f(i) be the third derivative of 1/3*i**4 + 1/12*i**6 - 4/15*i**5 + 0*i + 0 + 23*i**2 - 1/105*i**7 + 0*i**3. Suppose f(o) = 0. What is o?
0, 1, 2
Suppose -1/3*l**2 + 0 - 7/3*l = 0. Calculate l.
-7, 0
Suppose 0*q - o - 36 = -5*q, 4*q = -5*o + 23. Let x(d) be the second derivative of 3/170*d**5 + 0 - 2/17*d**2 + 1/51*d**4 - 1/17*d**3 + q*d. Factor x(n).
2*(n - 1)*(n + 1)*(3*n + 2)/17
Let w = 3221461/117 - 334842/13. Let y = w - 1775. Find