 w*f**3 + 11 + 5/4*f**4 + 15/2*f**2. Let v(a) = 0. What is a?
1
Let k = -18260 - -73067/4. Determine z, given that -k*z - 6 - 3/4*z**2 = 0.
-8, -1
Suppose 26*z - 4 = 24*z. Factor 5*j**4 - 45*j + 92*j**2 + 25*j**3 - 40*j**z - 37*j**2.
5*j*(j - 1)*(j + 3)**2
Let u(i) be the first derivative of 1/5*i**4 - 1/15*i**6 + 4/5*i + 16/15*i**3 - 17 + 7/5*i**2 - 4/25*i**5. Factor u(y).
-2*(y - 2)*(y + 1)**4/5
Factor 6 + 3/2*k - 3/4*k**2.
-3*(k - 4)*(k + 2)/4
Let u(d) be the first derivative of 32 + 2/5*d**3 + 1/30*d**4 + 32/15*d + 8/5*d**2. Factor u(x).
2*(x + 1)*(x + 4)**2/15
Let h = 22 - 20. Factor -13*u**2 + 5*u**2 - 2*u - h*u**5 - 5*u**4 - 12*u**3 - 3*u**4.
-2*u*(u + 1)**4
Suppose 0 = 5*x + 3*k - 25, 3*x - k + 1 - 2 = 0. Find f such that -f**2 + 95*f - 7*f + 484 + 5*f**x = 0.
-11
Let f(m) = -10*m**2 + 13 + 7*m - 42*m**2 + 9*m**2 - 80*m**3. Let h(g) = 120*g**3 + 65*g**2 - 11*g - 19. Let j(z) = -7*f(z) - 5*h(z). What is r in j(r) = 0?
-1/2, 2/5
Let g(i) = -i**3 + 45*i**2 - 117*i - 374. Let h be g(42). Factor 0 + 8/15*x + 0*x**2 - 2/15*x**h - 2/5*x**3.
-2*x*(x - 1)*(x + 2)**2/15
Let o(p) be the first derivative of -2/3*p**2 + 4/3*p - 1/3*p**3 + 7. Solve o(v) = 0.
-2, 2/3
Let u be (-9)/(5 + -41)*5*(-2)/(-5). Find p such that -u*p + 7/4*p**5 + 9/4*p**4 - 5/4*p**3 - 9/4*p**2 + 0 = 0.
-1, -2/7, 0, 1
Let f(k) = -k**2 - 73*k + 2958. Let o be f(29). Solve 0*z**2 + o*z - 2/19*z**3 + 0 = 0.
0
Let g(v) be the first derivative of -47 - 4/3*v**3 + v**4 + 36*v - 18*v**2. Factor g(f).
4*(f - 3)*(f - 1)*(f + 3)
Let c(o) be the first derivative of -o**6/3240 + o**4/54 - 2*o**3/3 - 11. Let r(q) be the third derivative of c(q). Find l, given that r(l) = 0.
-2, 2
Let h = 1198 - 1194. Let c(s) be the first derivative of 0*s + 1/9*s**3 + 1/4*s**h - 5 + 0*s**2 - 4/15*s**5. Factor c(r).
-r**2*(r - 1)*(4*r + 1)/3
Let u = 2/47 + 17/705. Let q(d) be the first derivative of 8 + 0*d + 1/10*d**2 + u*d**3. Factor q(w).
w*(w + 1)/5
Let s = -5751/5 + 1151. Find v, given that -2/5*v**4 - 2/5*v**2 + 0 + 0*v + s*v**3 = 0.
0, 1
Let k(w) = 2*w**2 - 4*w + 4. Let b be k(3). Suppose -5*s - b = -25. What is h in -9/4*h**2 + 3/4*h + 5/4*h**s + 1/4 = 0?
-1/5, 1
Let q(u) be the second derivative of -u**5/30 + 7*u**4/18 - 14*u**3/9 + 8*u**2/3 - 69*u. Factor q(f).
-2*(f - 4)*(f - 2)*(f - 1)/3
Let u(a) be the second derivative of 3/4*a**5 + 0*a**6 + 15*a + 0*a**3 - 5/42*a**7 + 0*a**2 + 0 + 5/6*a**4. Factor u(s).
-5*s**2*(s - 2)*(s + 1)**2
Let o(g) be the second derivative of -g**4/54 - 11*g**3/27 - 2*g**2 - 500*g. Factor o(r).
-2*(r + 2)*(r + 9)/9
Suppose 8 - 23 = -5*d - 5*x, d - 9 = x. Determine k, given that -8*k**3 + 2*k + 10*k - 38 + 14 + 5*k**3 + d*k**2 = 0.
-2, 2
Find g such that 804 + 2*g**2 - 3*g**2 - 14*g - 772 = 0.
-16, 2
Suppose -5*f - 1 = -r - 6*f, 5*f + 4 = -2*r. Suppose 6/7*n**2 + 0*n - 2/7*n**r + 0 = 0. What is n?
0, 3
Suppose 5*f = -5*s + 10*s - 510, 381 = 4*s + 5*f. Let k be 8/(-64) - (s/24)/(-1). Determine t so that 2/5*t**k + 4/5*t**3 - 2/5 + 0*t**2 - 4/5*t = 0.
-1, 1
Suppose 3*w = 2*w + 5. Suppose -w*n = -5*d + 15, 2*d - n = 3*n + 12. Factor 2/3*l**4 - 2/3*l**2 + d + 0*l**3 + 0*l.
2*l**2*(l - 1)*(l + 1)/3
Let m(x) be the second derivative of x**7/5880 - x**6/1680 - x**5/140 + x**4/2 - 2*x. Let h(p) be the third derivative of m(p). Factor h(g).
3*(g - 2)*(g + 1)/7
Let v(c) be the first derivative of -3*c**4/32 - 4*c**3 - 48*c**2 + 43. Factor v(r).
-3*r*(r + 16)**2/8
Let a(s) be the third derivative of -s**7/35 - 3*s**6/40 + s**5/4 + 27*s**2. What is x in a(x) = 0?
-5/2, 0, 1
Let t(l) = 13*l**3 - 6*l**2 - l - 3. Let g(j) = -66*j**3 + 30*j**2 + 4*j + 16. Let o(r) = 3*g(r) + 16*t(r). Find q such that o(q) = 0.
-2/5, 0, 1
Let n be 581/7553 + (-1 - 61/(-52)). Let -1/4*a**3 + 1/4*a - 1/4 + n*a**2 = 0. What is a?
-1, 1
Suppose -7*i**3 - 343/3*i - 49*i**2 - 1/3*i**4 + 0 = 0. What is i?
-7, 0
Let g(o) = -o**3 - 11*o**2 + 9. Let l(a) = a**2 + 17*a + 19. Let r be l(-15). Let w be g(r). Suppose -w + 1 - 3*h**2 + 8*h**2 + 12*h - 9*h**2 = 0. What is h?
1, 2
Let a be 5033/945 + 46/621. Let l be (44/(-6))/(5/(-9)). Factor 24/5*o + 72/5*o**3 + l*o**2 + 3/5 + a*o**4.
3*(o + 1)**2*(3*o + 1)**2/5
Factor -18 + 92*f**4 - 162*f**3 - 33*f + 82*f**4 - 168*f**4 + 180*f**2 + 27*f**5.
3*(f - 1)**3*(f + 3)*(9*f + 2)
Let p(g) be the first derivative of -g**3/18 + 11*g**2/12 - 5*g/3 + 38. Let p(c) = 0. What is c?
1, 10
Let q(t) be the first derivative of t**5/80 - t**4/16 - t**3/6 - 22*t - 20. Let c(n) be the first derivative of q(n). Find k such that c(k) = 0.
-1, 0, 4
Suppose -12/7*q + 2/7*q**4 + 2/7*q**2 + 8/7*q**3 + 0 = 0. What is q?
-3, -2, 0, 1
Suppose 77*c - 80 = 52 + 99. Suppose -12/7*r**4 - 15/7*r**2 + 3/7*r + 24/7*r**c + 0 = 0. Calculate r.
0, 1/2, 1
Let d(m) = -m - 15. Let s be d(-20). Let i(r) be the second derivative of -r**2 - s*r - 1/6*r**4 + 0 + 2/3*r**3. Determine p so that i(p) = 0.
1
Let w(h) be the first derivative of -h**8/168 + h**6/30 - h**4/12 + h**2 + 2. Let y(u) be the second derivative of w(u). Factor y(c).
-2*c*(c - 1)**2*(c + 1)**2
Suppose 96*n + 4732 + 9*n**2 - 13*n**2 - 5292 = 0. What is n?
10, 14
Let f(z) be the third derivative of -z**5/210 - 23*z**4/84 + 134*z**2. Solve f(p) = 0.
-23, 0
Let h = -57459/11 + 5241. Factor 480/11*a - 480/11*a**2 + 6/11*a**5 + 240/11*a**3 - h - 60/11*a**4.
6*(a - 2)**5/11
Let 18/19*m**3 + 0 - 6/19*m**4 + 0*m - 10/19*m**2 - 2/19*m**5 = 0. Calculate m.
-5, 0, 1
Let q(y) = y**2 + y + 1. Let o(m) = 36 + 2*m + 21*m + 5*m**2 - 9*m - 7. Let h(l) = -o(l) + 4*q(l). Let h(i) = 0. What is i?
-5
Let l(d) = -2 + 9*d + 8*d**3 - 12*d**2 - 6*d + 6*d**4 - 3*d**4. Let c(n) = n**4 - n. Let j(k) = 5*c(k) - l(k). Factor j(b).
2*(b - 1)**4
Let g(v) = v**2 + 6*v + 8. Let u be g(-6). Let p be -2*12/u*-1. Factor 6*x**5 - 6*x**2 + 6*x**4 - p*x**5 - x - 2*x.
3*x*(x - 1)*(x + 1)**3
Let g(p) = 26*p - 1326. Let r be g(51). Factor r + 2*b + 2/9*b**3 - 4/3*b**2.
2*b*(b - 3)**2/9
Let t(p) = -70*p**3 + 535*p**2 - 1035*p + 520. Let k(o) = -17*o**3 + 134*o**2 - 259*o + 130. Let d(w) = -25*k(w) + 6*t(w). Factor d(c).
5*(c - 26)*(c - 1)**2
Let a be (-42)/(-49)*(-112)/(-32). Factor -9/4*d - 3/4*d**a + 9/4*d**2 + 3/4.
-3*(d - 1)**3/4
Let f(q) be the first derivative of -2*q**7/147 - 2*q**6/105 + q**5/7 - q**4/7 - 18*q - 5. Let b(l) be the first derivative of f(l). Factor b(i).
-4*i**2*(i - 1)**2*(i + 3)/7
Let v(m) = 17*m**2 - 5*m + 13. Let o(l) = 14*l**2 - 6*l + 12. Let s(q) = -5*o(q) + 4*v(q). What is a in s(a) = 0?
1, 4
Let z be (-14)/21*-3*4/4. Let i(f) be the second derivative of 13/24*f**4 + 21/40*f**5 - 2*f + 0*f**z + 1/6*f**3 + 0. Factor i(g).
g*(3*g + 1)*(7*g + 2)/2
Let o(a) = -a - 5. Let d be o(-7). Suppose -10 = -7*x + d*x. Factor 7*n + 7*n**x - 28*n**2 - n + 21*n**4 - 6*n**3.
3*n*(n - 1)*(n + 1)*(7*n - 2)
Let u be 5/(-3)*1260/350 + 444/14. Let -12/7 - 675/7*l**2 - u*l = 0. What is l?
-2/15
Let j be (-64)/(-36)*(-6)/(-24). Let v be 2*-10*(-2)/36. Factor v*q**3 + 2/9*q - 16/9*q**2 + j.
2*(q - 1)**2*(5*q + 2)/9
Find f, given that -9*f**5 - 5*f**3 + 7*f**5 - 2*f**4 + 4*f + 3*f**5 + 10*f**2 - 8 = 0.
-2, -1, 1, 2
Let f(j) be the first derivative of 2*j**6/3 - 4*j**5/5 - 5*j**4 + 4*j**3/3 + 16*j**2 + 16*j + 53. Factor f(u).
4*(u - 2)**2*(u + 1)**3
Let d(z) be the first derivative of -z**7/840 + z**5/40 + z**4/12 + z**3 - 25. Let c(v) be the third derivative of d(v). Factor c(k).
-(k - 2)*(k + 1)**2
Determine n so that -24/5*n - 1452/5*n**3 - 924/5*n**4 + 0 + 196/5*n**5 - 356/5*n**2 = 0.
-1, -1/7, 0, 6
Let h be 200/(-5125) - 2/5. Let l = h + 326/369. Solve 2/3*v**2 + 2/9*v**3 + l*v + 0 = 0.
-2, -1, 0
Let n(d) be the third derivative of -1/216*d**4 + 0 + 1/540*d**5 + 0*d - 2*d**2 + 0*d**3. Determine i so that n(i) = 0.
0, 1
Let f(o) be the third derivative of o**7/1890 + o**6/216 + 2*o**5/135 + o**4/54 + 20*o**2 - 15. Let f(m) = 0. What is m?
-2, -1, 0
Let i be 531/(-12) - (-8)/32. Let t be i/(-77)*14/4. Factor 0 - 12*p**4 + 3/2*p**3 + 0*p + 15/2*p**5 + 3*p**t.
3*p**2*(p - 1)**2*(5*p + 2)/2
Let h(r) = -2*r + 32. Suppose -20 = -18*k + 16*k. Let y be h(k). Factor -66*w**2 - y - 72*w - 3*w**4 - 12 + w**3 - 25*w**3 - 3.
-3*(w + 1)**2*(w + 3)**2
Let d be (-1927)/105 - (2 - (-32)/(-14)). Let o = -53/3 - d. What is z in 0 - 1/5*z**3 - o*z**2 - 1/5*z = 0?
-1, 0
Let i(r) be the first derivat