4/15*h**2 + 14/5*h = 0.
-3, -1, 6
Let l(z) be the second derivative of -1/48*z**4 - 6*z + 1/3*z**3 + 0 + 0*z**2. Determine c, given that l(c) = 0.
0, 8
Suppose 0 = 4*w + 4*p - 6 + 2, -11 = -5*w - 2*p. Factor -11/9*b + 4/9*b**4 + 1/9*b**w - 4/3*b**2 - 2/9.
(b - 2)*(b + 1)**2*(4*b + 1)/9
Let p be (10/(-25))/(2/60). Let o be (-28)/p + (-4)/(-6). Factor -12*h**2 - 9*h + 5 - 2*h**3 - 3*h**o + 9 - 16.
-(h + 1)**2*(5*h + 2)
Let v(u) be the first derivative of -9 - 3/10*u**2 + 2/5*u + 1/15*u**3. Factor v(z).
(z - 2)*(z - 1)/5
Solve -160 - 569*f**3 + 571*f**3 - 149*f - 87*f - 74*f**2 = 0 for f.
-2, -1, 40
Let x(i) be the third derivative of 7*i**8/192 - 53*i**7/20 + 24637*i**6/480 + 1219*i**5/20 + 529*i**4/24 + 6*i**2 - 2*i. Find g, given that x(g) = 0.
-2/7, 0, 23
Suppose 49 = 16*k - 9*k. Let l(a) be the second derivative of 0*a**4 + 0*a**6 + 6*a + 0*a**2 + 0 - 2/5*a**5 + 2/21*a**k + 2/3*a**3. Factor l(f).
4*f*(f - 1)**2*(f + 1)**2
Let t(g) be the third derivative of -1/224*g**8 + 1/70*g**7 + 0 - 1/16*g**4 + 1/40*g**6 - 11*g**2 + 1/2*g**3 + 0*g - 1/10*g**5. Suppose t(p) = 0. Calculate p.
-1, 1, 2
Let y = 6 + 2. Determine s so that -y*s**2 + 120*s**4 - 120*s**4 + 8 - 4*s**5 + 16*s**3 - 12*s = 0.
-2, -1, 1
Let w(u) be the second derivative of -3*u**5/20 - 13*u**4/4 - 28*u**3 - 120*u**2 + 125*u. Factor w(g).
-3*(g + 4)**2*(g + 5)
Suppose 3*t = -h + 28, -2*h - 69 = -5*t - 4. Let v be (12 - t)*(-4)/(1 + -3). Factor 0 + 6/5*x - 9/5*x**v + 3/5*x**3.
3*x*(x - 2)*(x - 1)/5
Let c(p) = 2*p**3 - 16*p**2 + 2*p + 87. Let t be c(7). Solve -16/3*k**t - 2/3*k**5 + 32*k + 64/3 - 4*k**4 + 32/3*k**2 = 0 for k.
-2, 2
Let g(n) be the third derivative of -n**8/60480 + n**7/7560 - 7*n**5/60 - 11*n**2. Let x(d) be the third derivative of g(d). Factor x(q).
-q*(q - 2)/3
Determine r so that -351 - 34*r - 122 - 337 + 5*r**2 - 771*r = 0.
-1, 162
Let r(u) be the third derivative of 3*u**8/728 + 4*u**7/455 + u**6/195 + 5*u**2 + 8. Solve r(d) = 0.
-2/3, 0
Factor 20*x + 141 - 10*x**2 + 147 - 280 - 2*x**2.
-4*(x - 2)*(3*x + 1)
Suppose -2/5*p**4 + 4/5*p**3 - 16/5 - 4/5*p + 18/5*p**2 = 0. What is p?
-2, -1, 1, 4
Let o = -109 + 119. Let m be 1/((o/8)/5) + -2. Let -1/4*c**3 + 27/4 - 27/4*c + 9/4*c**m = 0. Calculate c.
3
Let q(b) be the first derivative of 2*b**5/25 + 3*b**4/5 + 6*b**3/5 - 4*b**2/5 - 24*b/5 + 354. Find r, given that q(r) = 0.
-3, -2, 1
Suppose -3*q + 27 = 6*q. Let y = 19 + -17. Determine u so that 0*u + 0 - 3/2*u**q - 3/2*u**y = 0.
-1, 0
Let n(y) = 2*y + 20. Let j(c) = c + 7. Let k(v) = 8*j(v) - 3*n(v). Let a be k(3). Let 78 - r**2 + 0*r**2 + a*r - 79 = 0. Calculate r.
1
Let s be 2/(-10)*(13 - 161/7). Find m such that -21/4*m**3 + 3*m**5 + m + 3*m**s + 0 - 17/4*m**4 = 0.
-1, -1/4, 0, 2/3, 2
Let m(o) = o**2 - 11*o - 19. Let n be m(9). Let x = -35 - n. Factor -x*s - s**2 - 7*s + 4*s**2 + 10*s.
s*(3*s + 1)
Suppose -7*x - x = -16. Let v be ((6 + -6)/7)/(0 - x). Find j, given that 10/3*j**3 + v - 4/3*j**2 + 2/3*j**5 - 8/3*j**4 + 0*j = 0.
0, 1, 2
Suppose -2*x + 2*u = 2, -4*x = -3*x + 4*u - 14. Find s such that x + 122*s**2 + 2 - 5*s - 121*s**2 = 0.
1, 4
Let 12/5*b**3 + 6/5*b**2 - 4/5*b - 3/5 + b**4 = 0. Calculate b.
-1, 3/5
Let p(h) be the third derivative of h**8/13440 - 7*h**6/1440 + h**5/40 - h**4/3 + 31*h**2. Let k(b) be the second derivative of p(b). Factor k(j).
(j - 2)*(j - 1)*(j + 3)/2
Let t be -5*(-10)/(-175) + (-130)/(-14). Suppose 39 = 12*k - t. Determine j so that -6/13*j - 4/13 + 6/13*j**3 + 2/13*j**2 + 2/13*j**k = 0.
-2, -1, 1
Suppose -11*u = -2*u - 1935. Let x = 217 - u. Let 0*v + x*v**4 + 32/7*v**3 + 8/7*v**2 + 0 = 0. Calculate v.
-2, -2/7, 0
Let p(m) be the third derivative of m**7/2310 + 7*m**6/660 - m**5/44 + 24*m**2 + 4*m. Factor p(j).
j**2*(j - 1)*(j + 15)/11
Let p(c) be the second derivative of c**7/14 - 3*c**6/5 + 6*c**5/5 + 3*c**4/2 - 9*c**3/2 - c - 74. Factor p(f).
3*f*(f - 3)**2*(f - 1)*(f + 1)
Let 24*b**4 + 43*b - 45*b - 4*b**2 - 20*b**4 + 2*b**5 = 0. Calculate b.
-1, 0, 1
Let a be (0 + 0)/(-46 - -43). Let z be a*(-2)/(-4) - 4/(-6). Solve 4*w**2 - 14/3*w + z = 0.
1/6, 1
Let t be (-1359)/6*((-52)/(-12) + -3). Let p = t - -1519/5. Solve 3/5*m**4 + 6/5*m**5 + 3/5*m - 3/5*m**2 + 0 - p*m**3 = 0.
-1, 0, 1/2, 1
Let q(d) be the first derivative of -20*d + 7 + 5/3*d**3 + 0*d**2. Factor q(w).
5*(w - 2)*(w + 2)
Let k(a) be the second derivative of 0 - 25/6*a**3 - 125/6*a**2 - 5/12*a**4 + 6*a - 1/60*a**5. Factor k(g).
-(g + 5)**3/3
Factor 4/5 - 2/5*s**2 - 2/5*s.
-2*(s - 1)*(s + 2)/5
Let y(c) be the second derivative of c**8/6720 + c**7/945 + 7*c**6/2160 + c**5/180 + 10*c**4/3 - 7*c. Let f(k) be the third derivative of y(k). Factor f(v).
(v + 1)**2*(3*v + 2)/3
Let f be 1*(-3 + 2)*1. Let s(a) = a**2 - a. Let b(i) = 3*i**3 + 18*i - 24. Let u(n) = f*b(n) + 18*s(n). Factor u(j).
-3*(j - 2)**3
Let w(r) = 5*r**5 + 47*r**4 + 62*r**3 + 16*r**2 - 12*r. Let l(i) = -11*i**5 - 93*i**4 - 124*i**3 - 33*i**2 + 23*i. Let c(o) = -4*l(o) - 7*w(o). Factor c(y).
y*(y + 1)*(y + 2)**2*(9*y - 2)
Suppose 3*a = g - a + 12, 5*g - 2*a = 12. Suppose 7*f**2 + 5*f**3 + 101*f**g - 4*f - 104*f**4 - 4 - f**3 = 0. What is f?
-1, -2/3, 1, 2
Let l(j) be the second derivative of -2*j**7/21 - 2*j**6 - 63*j**5/5 - 49*j**4/3 - 47*j + 3. Factor l(z).
-4*z**2*(z + 1)*(z + 7)**2
Let f(m) = 3*m**2 - 9*m - 7. Let x(i) be the third derivative of i**5/20 - 3*i**4/8 - i**3 - 33*i**2. Let g(o) = 6*f(o) - 5*x(o). Suppose g(h) = 0. Calculate h.
-1, 4
Suppose 99 - 127 = -4*c. Suppose -c = -4*j + 1. What is y in 1/6*y**j + 0 + 1/6*y = 0?
-1, 0
Suppose 0 = -2*a - 10, 2*q + a + 4*a = -13. Let l be (2 - (-8)/12) + 2/q. Factor 1/3*u**4 - 2/3 + 1/3*u**2 + u - u**l.
(u - 2)*(u - 1)**2*(u + 1)/3
Let o(w) be the second derivative of -w**9/756 - 5*w**8/1344 - w**7/504 + 25*w**4/6 + 44*w. Let j(d) be the third derivative of o(d). Factor j(n).
-5*n**2*(n + 1)*(4*n + 1)
Let f(v) = -v**2 + v. Let d(i) = -12 - 3 + 4*i + 3. Let u(m) = -d(m) + 2*f(m). Factor u(r).
-2*(r - 2)*(r + 3)
Suppose 0*u = 5*u - 135. Determine m so that -2*m**2 + 8*m - u + 40 - 19 = 0.
1, 3
Let c(x) be the third derivative of x**6/240 - x**5/30 + x**4/12 + x**2 - x. Factor c(d).
d*(d - 2)**2/2
Let s = 175 + -166. Let z(l) = -l**2 + 10*l - 5. Let o be z(s). Factor 4/9*c**2 + 2/9*c - 2/9*c**5 + 0 + 0*c**3 - 4/9*c**o.
-2*c*(c - 1)*(c + 1)**3/9
Suppose 396/5*x**2 + 12*x**4 - 168/5*x + 16/5 - 278/5*x**3 = 0. What is x?
2/15, 1/2, 2
Let c(k) be the third derivative of k**5/360 - 5*k**4/72 + 98*k**2. Determine a so that c(a) = 0.
0, 10
Let n be (1 + -3 + 112)/(4 - 2). Suppose -7*i**4 + n*i**4 + 155*i**3 - 188*i**3 - i**2 + 7*i**2 - 21*i**5 = 0. What is i?
0, 2/7, 1
Let r = -19712 - -19856. What is a in r*a**2 + 324*a + 2/3*a**4 - 486 + 52/3*a**3 = 0?
-9, 1
Factor -24 + 81/2*w**3 - 243/2*w**2 + 108*w.
3*(3*w - 4)**2*(3*w - 1)/2
Let f(t) = t**2 + 20*t - 123. Let y(g) = 3*g**2 + 39*g - 247. Let h(z) = -5*f(z) + 2*y(z). Suppose h(k) = 0. What is k?
11
Let y(w) = -w**4 + w**3 - w**2 - 1. Let q(j) = -3*j**4 + 13*j**3 - 4*j**2 - 4. Let s(a) = -3*q(a) + 12*y(a). Determine b, given that s(b) = 0.
-9, 0
Let y(r) = r**3 - 11*r**2 + r - 3. Let t be y(11). Factor 7*m**3 + t*m**5 + 0*m**3 + 25*m**4 - 2*m**3 + 7*m**5 - 5*m**2.
5*m**2*(m + 1)**2*(3*m - 1)
Let w(q) = q**2 - 7*q + 13. Let t be w(5). Solve t*b**2 - b + 4*b - 9*b - 9 = 0.
-1, 3
Let d = 1412 + -1412. Let f(p) be the third derivative of -1/120*p**6 - 1/36*p**5 + 1/18*p**3 - 9*p**2 + d + 1/24*p**4 + 2/315*p**7 + 0*p. Factor f(c).
(c - 1)**2*(c + 1)*(4*c + 1)/3
Determine p, given that -148/7 - 2/7*p**2 + 150/7*p = 0.
1, 74
Let v = -1/147 + 155/1176. Let s(x) be the third derivative of 3*x**2 + 1/120*x**6 - 1/12*x**5 + 0 + v*x**4 + 3/2*x**3 + 0*x. Let s(b) = 0. Calculate b.
-1, 3
Suppose 12 = w + 4*o, 2*w = -4*o - 1 + 17. Let v be (w/(-7) - -1)*7. Factor 1 - 2*b**v - 4 + 4*b + 3*b**2 - b**3 - b.
-3*(b - 1)**2*(b + 1)
Let o = -199600/13 + 15354. Let 0 - o*s**2 - 2/13*s = 0. What is s?
-1, 0
Let c(s) = -2 - 20*s**3 - 95*s**2 + 5*s + 19*s - 3 + 11*s. Let r(i) = 21*i**3 + 94*i**2 - 36*i + 4. Let x(b) = -4*c(b) - 5*r(b). Factor x(t).
-5*t*(t + 4)*(5*t - 2)
Let r = -3329/3 + 16657/15. What is m in 4/5*m + 1/5*m**2 + r = 0?
-2
Factor 0 + 2/3*p**3 + 4/3*p - 2*p**2.
2*p*(p - 2)*(p - 1)/3
Suppose 2*r + 3*l = -r - 216, 286 = -4*r