 1)*(t + 1)/5
Factor -3*v + 30/7 + 3/7*v**2.
3*(v - 5)*(v - 2)/7
Let w(j) be the first derivative of j**4 - 1/3*j**6 + 0*j - 36 + 0*j**3 + 0*j**5 - j**2. What is u in w(u) = 0?
-1, 0, 1
Let u(m) = -m**2 - 9*m + 1 + 10*m - 3 + 3 + m**3. Let q(v) = -v**3 + 6*v**2 - 5*v - 4. Let y(t) = 3*q(t) + 12*u(t). Suppose y(a) = 0. Calculate a.
-1, 0, 1/3
Let z(u) be the third derivative of -u**6/420 - u**5/21 + u**4/84 + 10*u**3/21 - u**2 - 30. Factor z(j).
-2*(j - 1)*(j + 1)*(j + 10)/7
Let w(p) be the second derivative of 8/15*p**3 - 16/5*p**2 - p + 0 - 1/30*p**4. Factor w(h).
-2*(h - 4)**2/5
Factor -2/7*o**2 + 22/7*o + 0.
-2*o*(o - 11)/7
Let j = 135 - 135. Let z(c) be the third derivative of 0 - 8/15*c**3 - 9*c**2 - 1/5*c**4 + j*c - 1/300*c**6 - 1/25*c**5. Factor z(d).
-2*(d + 2)**3/5
Let x = -544409917/364876190 - -6/726845. Let c = 2/251 - x. Factor 1/2*h**3 - 1/2 - 3/2*h**2 + c*h.
(h - 1)**3/2
Let w(i) = 19*i - 16. Let k be w(4). Factor -20 - k*z**2 + 29*z**2 + 36*z**2.
5*(z - 2)*(z + 2)
Let j = 5 - -2. Let y = -1438 + 1441. Factor -j*r**2 + 0*r + 36 + 4*r**y - 13*r**2 + 12*r.
4*(r - 3)**2*(r + 1)
Suppose 30 = -73*c + 78*c. Suppose c = -3*l - 3*b, -3*b = 7 + 5. Factor q**l - 8/5*q - 1/5*q**3 + 4/5.
-(q - 2)**2*(q - 1)/5
Let q = 39 - 45. Let t be (-85)/(-20) - q/(-2). Factor -1/4*b**3 - b**2 - t*b - 1/2.
-(b + 1)**2*(b + 2)/4
Let o be ((-69)/15 - -5)*20/28. Let -4/7*c**2 + 4/7*c**4 - o*c + 0*c**3 + 0 + 2/7*c**5 = 0. Calculate c.
-1, 0, 1
Let g(h) be the second derivative of h**3/6 - 4*h**2 - 2*h. Let y be g(10). Suppose 0 - 2 + 0*w**2 + w**y - 5*w - 4*w**2 = 0. What is w?
-1, -2/3
Let y(f) be the first derivative of -1/2*f - 1/4*f**3 - 1/16*f**4 + 1/20*f**5 - 10 + 5/8*f**2. Suppose y(h) = 0. Calculate h.
-2, 1
Let k = -343 - -345. Let w(d) be the first derivative of 4 + 4*d - 5*d**k - 1/2*d**4 + 8/3*d**3. Factor w(f).
-2*(f - 2)*(f - 1)**2
Let q be (-13 - -15)*(3/(-18))/(-1). Let j(f) be the first derivative of -1 + 1/9*f**6 + 2/3*f + q*f**2 - 4/9*f**3 + 2/15*f**5 - 1/3*f**4. Factor j(h).
2*(h - 1)**2*(h + 1)**3/3
Find g such that -31*g**2 - 10*g**3 - g**4 - 11*g**3 + 119 - 12*g**3 + 24*g - 87 + 9*g = 0.
-32, -1, 1
Let k(x) = x + 12. Let w be k(-8). What is q in -3*q**5 + q + 3*q**w - 23*q**4 - q**4 - 39*q**2 - 13*q - 45*q**3 = 0?
-4, -1, 0
Suppose 242*f**4 - 1628/3*f**3 + 3266/9*f**2 + 32/9 - 592/9*f = 0. Calculate f.
4/33, 1
Solve -1/6*a**2 - 19/3 - 7/2*a = 0 for a.
-19, -2
Let y(t) be the first derivative of -t**4/2 + 4*t**3 + 7*t**2 - 1037. Suppose y(l) = 0. Calculate l.
-1, 0, 7
Let r(n) = 7*n - 1. Let t(p) be the third derivative of -p**5/60 - 13*p**4/24 + p**3/3 - 13*p**2. Let u(k) = -7*r(k) - 4*t(k). Solve u(b) = 0 for b.
-1, 1/4
Let l(g) be the first derivative of -10*g - 27 + 95/2*g**2 - 125/4*g**4 - 200/3*g**3. Factor l(r).
-5*(r + 2)*(5*r - 1)**2
Let k(m) be the second derivative of m**7/350 - 11*m**6/450 + m**5/25 - 17*m**3/6 - 6*m. Let j(n) be the second derivative of k(n). Factor j(h).
4*h*(h - 3)*(3*h - 2)/5
Let c(o) be the first derivative of 0*o**2 + 1/24*o**3 - 1/40*o**5 + 0*o**4 - 20 + 0*o. Factor c(x).
-x**2*(x - 1)*(x + 1)/8
Let t(k) be the third derivative of 1/210*k**7 - 1/12*k**4 + 0 + 0*k**3 + 1/40*k**6 + 5*k**2 + 0*k - 1/336*k**8 - 1/60*k**5. Factor t(j).
-j*(j - 2)*(j - 1)*(j + 1)**2
Let d(i) be the second derivative of -6/5*i**5 + 1/3*i**4 - 9*i + 10/3*i**3 - 4*i**2 + 0. Let d(g) = 0. What is g?
-1, 1/2, 2/3
Let f = -17 - -21. Determine m, given that -24*m**2 + f - m - 5*m - 16*m**3 + 2*m**3 + 0 = 0.
-1, 2/7
Let n = 16 + -14. Find r such that 6*r**n + 0*r**4 - 5*r**3 + r**3 - 3*r**4 + 7*r**3 = 0.
-1, 0, 2
Let s(a) be the second derivative of -a**5/4 - 5*a**4/2 - 10*a**3 - 20*a**2 - 22*a. Factor s(m).
-5*(m + 2)**3
Factor 42/5 + 7/5*x**2 - 149/5*x.
(x - 21)*(7*x - 2)/5
Suppose 0 = 4*u + 4 + 12. Let o be (u/(-5))/(572/1170). Factor 14/11*w**3 - o*w**2 + 4/11*w + 0.
2*w*(w - 1)*(7*w - 2)/11
Suppose -11*q + 14*q - 15 = 0. Suppose -3*v + 8 + 1 = 0. Factor q*o**3 - 7*o**v + 2*o**4 + 0*o**4.
2*o**3*(o - 1)
Let f = -136 - -140. Suppose 0 = f*k + k + k. Determine l so that k + 2/5*l**2 - 6/5*l = 0.
0, 3
Let t(h) be the first derivative of 3*h**5/5 - 9*h**4/4 - 7*h**3 + 45*h**2/2 + 54*h + 64. Find m such that t(m) = 0.
-2, -1, 3
Factor -2209/2 - 1/2*h**2 + 47*h.
-(h - 47)**2/2
Let i = -7008 + 21044/3. Factor -11/3*t**3 - 7/3*t + 2/3 - i*t**2.
-(t + 1)**2*(11*t - 2)/3
Find w, given that -2*w**2 - 25*w - 29*w - 14*w - 20 + 82*w = 0.
2, 5
Let r = 13 + -8. Determine c, given that -6 - 4*c**5 + 215*c + 12*c**3 - 225*c - 3*c**r + 5*c**5 + 4*c**2 + 2*c**4 = 0.
-1, 1, 3
Let o(k) = -k**4 + k**2 - 2*k - 1. Let p(z) = -8*z**4 + 8*z**3 + 15*z**2 - 26*z - 16. Let c(a) = 36*o(a) - 4*p(a). Determine b, given that c(b) = 0.
-7, -1, 1
Let z(y) = -15*y**3 - 256*y**2 + 780*y - 396. Let v(g) = -15*g**3 - 257*g**2 + 780*g - 397. Let t(a) = 4*v(a) - 3*z(a). Factor t(q).
-5*(q - 2)*(q + 20)*(3*q - 2)
Let z(d) = -10*d**2 - 89*d + 9. Let y be z(-9). Let w(h) be the first derivative of y*h + 0*h**2 + 0*h**3 + 3/28*h**4 - 4. Find l such that w(l) = 0.
0
Let d(n) be the second derivative of 1/54*n**4 + 38*n + 25/9*n**2 + 10/27*n**3 + 0. What is r in d(r) = 0?
-5
Let q be 40/4 + -2 - 1. Suppose 4*u - 1 = q. Solve 0*j**3 - j - 1/2*j**4 + 0 + 3/2*j**u = 0.
-2, 0, 1
Let j(i) = i**2 - 2*i - 6. Let s be j(-2). Factor -h + h**4 + h**3 + h**3 - 5*h**2 + 4*h**s - h**3.
h*(h - 1)*(h + 1)**2
Let i(d) = -d**3 + d**2 - d. Let b(y) = 15*y**3 - 5*y**2 + 5*y - 5. Let r(s) = s**3 + 5*s**2 + 2*s - 2. Let h be r(-3). Let n(u) = h*i(u) + b(u). Factor n(z).
5*(z - 1)*(z + 1)**2
Suppose 3*v = -3*n + 12, -4*n + 8 = v + 1. Let y(q) be the first derivative of 9 + 2/3*q**v - 1/2*q**4 + 0*q + 0*q**2. Factor y(w).
-2*w**2*(w - 1)
Suppose -1 + 9*n**3 + 8 + 22*n - 18*n + 11 - 43*n + 18*n**2 - 6*n**4 = 0. Calculate n.
-2, 1, 3/2
Let d(j) be the third derivative of -j**8/84 + j**6/5 - 8*j**5/15 + j**4/2 - 23*j**2. Factor d(f).
-4*f*(f - 1)**3*(f + 3)
Let l(a) = -7*a**2 + 8*a + 8. Let n(s) = s**2 - s - 1. Let v be 7/(14/(-4)) - 9. Let z = v - -14. Let c(y) = z*l(y) + 24*n(y). Factor c(o).
3*o**2
Let a(c) = 8*c**3 - 14*c**2 - 48*c - 6. Let z(u) = -7*u**3 + 13*u**2 + 47*u + 5. Let x(s) = -5*a(s) - 6*z(s). Factor x(h).
2*h*(h - 7)*(h + 3)
Suppose -k + 4*m - 8 + 2 = 0, -3*k - 3*m + 42 = 0. Let h(d) = -3*d**3 - 5*d**2 - 3*d + 11. Let a(q) = q**3 - 1. Let w(c) = k*a(c) + 5*h(c). Factor w(l).
-5*(l - 1)*(l + 3)**2
Suppose -49*m = -13*m - 72. Let n(t) be the second derivative of 1/75*t**5 + 1/225*t**6 + 0*t**m - 4*t + 0 + 1/90*t**4 + 0*t**3. Suppose n(r) = 0. Calculate r.
-1, 0
Let h(c) be the second derivative of -5*c**4/12 - 170*c**3/3 - 2890*c**2 + 250*c. Solve h(o) = 0 for o.
-34
Let q be (14/8 - 1)*(29 - 25). Let f(b) be the third derivative of 0*b**q + 0*b**5 + 0*b - 1/12*b**4 + 0 + 4*b**2 + 1/60*b**6. Determine y, given that f(y) = 0.
-1, 0, 1
Determine a so that -16/5*a + 8/5*a**3 - 16/5 + 12/5*a**2 - 4/5*a**4 = 0.
-1, 2
Suppose -4*f + 11 = g, 2*f - 7*f + 11 = 4*g. Suppose -3*c = -f*h + 21, 3*c - 5 = h + 5*c. Find o, given that -o**2 - 2*o**h + 3*o**2 + 2*o**5 - 2*o**2 = 0.
-1, 0, 1
Let g be (170/24)/(-17)*(-608)/190. Let -4/3*y + 1/3*y**2 + 1/3*y**3 - g = 0. What is y?
-2, -1, 2
Suppose -k - 12 = -3*t, -k - 6*t + 11*t - 20 = 0. Let s(y) be the second derivative of -1/6*y**4 + 4*y**2 - 4*y + k*y**3 + 0. Factor s(a).
-2*(a - 2)*(a + 2)
Let r = 83 - 88. Let z be 1*1/(2 - r) + 0. What is f in z*f**3 + 3/7 + 1/7*f**2 - 5/7*f = 0?
-3, 1
Let f(h) = 2*h**3 - 44*h**2 + 388*h - 8. Let i(u) = 3*u**2 - u - 2. Let b(d) = -f(d) + 4*i(d). Find w such that b(w) = 0.
0, 14
Let p(n) be the second derivative of n**6/45 - 11*n**5/30 + 19*n**4/18 - n**3 + 86*n. Determine u, given that p(u) = 0.
0, 1, 9
Let i(n) = 2*n**3 + 80*n**2 - 874*n. Let p(z) = -3*z**3 - 161*z**2 + 1750*z. Let y(f) = 7*i(f) + 4*p(f). Factor y(b).
2*b*(b - 21)**2
Let m = 1/97 - 163/6402. Let r = 125/462 - m. Solve -r*y**2 + 8/7*y - 8/7 = 0.
2
Let p = -17 - -19. What is j in -5*j - 17*j**2 - j**5 + 3 + 6*j**2 + 5*j**2 - j**4 + 6*j**3 + 4*j**p = 0?
-3, -1, 1
Let a(q) be the second derivative of 1/5*q**6 - 17/10*q**5 + 0 + 31/6*q**4 + 10*q + 6*q**2 - 23/3*q**3. Find c such that a(c) = 0.
2/3, 1, 3
Let q be (2 - (-1)/1)*(-62)/(-93). Factor 0