or d(j).
-(j + 1)*(j + 2)**2*(j + 3)
Let c be (16/20)/((-6)/(-15)). Let f be (c/16)/((-5)/(-30)). What is z in -1/4*z**3 + 1/4 - 3/4*z + f*z**2 = 0?
1
Let x = -10/12863 + 308782/90041. Factor 2/7*u**2 + 2/7*u - x.
2*(u - 3)*(u + 4)/7
Let f = 222/29 - 415/58. Factor 5*o + 25/2 + f*o**2.
(o + 5)**2/2
Let a(n) = n**3 + 10*n**2 + 5. Let z be a(-10). Suppose -5 = -z*x + 5. Factor 3*s - s**x - 2 + 1 + 5.
-(s - 4)*(s + 1)
Let n = -1175 - -1175. Factor n + p**2 + 2/3*p - 14/3*p**3.
-p*(2*p - 1)*(7*p + 2)/3
Let q(j) be the third derivative of j**5/12 - 5*j**4/8 - 15*j**3 - 29*j**2 - 2*j. Factor q(t).
5*(t - 6)*(t + 3)
Let q(f) be the second derivative of 35*f**4/12 - 10*f**3 - 10*f**2 - 85*f. Factor q(i).
5*(i - 2)*(7*i + 2)
Let j = 771/1435 + 7/205. Factor 18/7*t + j + 2*t**2.
2*(t + 1)*(7*t + 2)/7
Let m(g) be the second derivative of g**6/360 - g**5/540 + 19*g**3/6 + 9*g. Let c(s) be the second derivative of m(s). Solve c(l) = 0 for l.
0, 2/9
Let b = -4 + 9. Let c = b - 3. Factor -6*w**c + 9*w - 3*w**3 + 2*w - 14*w.
-3*w*(w + 1)**2
Suppose 0*v + 5*v - 110 = 0. Let j = 22 - v. What is a in 0 + 0*a + 2/5*a**3 + j*a**2 - 2/5*a**4 = 0?
0, 1
Let l be (2/(-32)*-2)/((-385)/(-440)). Factor -l*t**2 + 4/7*t - 3/7.
-(t - 3)*(t - 1)/7
Let k be 8/2 + 8/(-2). Let q(c) be the third derivative of -1/150*c**5 - 2*c**2 + k*c + 0 + 0*c**3 - 1/60*c**4. Factor q(b).
-2*b*(b + 1)/5
Factor -1/2*o**3 + 25/2 - 15/2*o - 9/2*o**2.
-(o - 1)*(o + 5)**2/2
Let z(o) be the third derivative of 1/60*o**5 + 1/360*o**6 + 0*o**4 + 2*o**2 - 2/9*o**3 + 0 + 0*o. Find v, given that z(v) = 0.
-2, 1
Let y = -169/6 + 57/2. Find h such that 0*h**2 - 4/3*h + y*h**3 + 0 = 0.
-2, 0, 2
Let h = -27 - -39. Let v = 15 - h. Determine w so that -6*w**v + 2*w**2 + 3*w**3 - 3*w**2 + 10*w**2 = 0.
0, 3
Factor -8/5*d - 8/5 + 6/5*d**2.
2*(d - 2)*(3*d + 2)/5
Let d = 72 + -70. Let c(x) be the first derivative of -1/7*x**3 - 3/7*x**d + 0*x + 3. Factor c(y).
-3*y*(y + 2)/7
Let z(l) be the first derivative of 5*l**4 + 5*l**3/3 - 96. Factor z(j).
5*j**2*(4*j + 1)
Factor 1/2*o**3 + 3025/4 - 219/4*o**2 + 1485*o.
(o - 55)**2*(2*o + 1)/4
Let a(m) be the first derivative of -256*m**5/5 + 400*m**4 - 1132*m**3 + 1512*m**2 - 972*m + 271. Find i, given that a(i) = 0.
1, 9/8, 3
Let c(j) be the first derivative of 2*j**3/15 + 4*j**2/5 - 42*j/5 + 14. Factor c(m).
2*(m - 3)*(m + 7)/5
Let d(w) be the second derivative of -w**6/6 - w**5/4 + 20*w**4/3 - 50*w**3/3 + 2*w. Solve d(n) = 0.
-5, 0, 2
Let y(o) be the second derivative of -1/24*o**4 + 0*o**2 + 0 + 1/12*o**3 + 10*o. Determine u so that y(u) = 0.
0, 1
Let q = 307/156 + -23/12. Let r = q + 64/273. Find d such that 0*d**3 + 0 - r*d**4 + 0*d + 2/7*d**2 = 0.
-1, 0, 1
Let x = 9281/3 + -3093. Find a such that 0*a + 1/3*a**4 - x*a**2 + 1/3*a**3 + 0 = 0.
-2, 0, 1
Let j(i) be the first derivative of -2*i**5/5 - 5*i**4 - 24*i**3 - 54*i**2 - 54*i - 45. Factor j(w).
-2*(w + 1)*(w + 3)**3
Let p(y) = 70*y**4 - 2100*y**3 + 15665*y**2 + 85. Let q(b) = 5*b**4 - 150*b**3 + 1119*b**2 + 6. Let a(k) = -6*p(k) + 85*q(k). Find z such that a(z) = 0.
0, 15
Let c(a) = a + 1. Let h(l) = l**2 - 2*l + 13. Let n = -4 - 8. Let y(v) = n*c(v) + 3*h(v). Let y(m) = 0. What is m?
3
Let a(v) be the third derivative of v**9/241920 + v**8/20160 + v**7/4032 + v**6/1440 + v**5/4 + 14*v**2. Let s(z) be the third derivative of a(z). Factor s(n).
(n + 1)**2*(n + 2)/4
Let l(a) be the third derivative of 17*a**2 + 0 - 1/6*a**3 + 1/120*a**5 + 0*a + 1/48*a**4. Factor l(w).
(w - 1)*(w + 2)/2
Determine b, given that 63*b**2 - 91*b**2 - b**3 + 33*b**2 = 0.
0, 5
Solve 4/5*s**3 + 308/5*s + 112/5*s**2 + 40 = 0.
-25, -2, -1
Let q = 643 - 638. Let 10/11*g**4 + 0 - 10/11*g**2 - 14/11*g**q + 18/11*g**3 - 4/11*g = 0. Calculate g.
-1, -2/7, 0, 1
Let h(w) be the second derivative of -w**7/15120 + w**6/2160 + w**5/240 + w**4/4 + w. Let y(n) be the third derivative of h(n). Factor y(d).
-(d - 3)*(d + 1)/6
Let f(k) be the second derivative of -k**6/45 + k**5/5 - 13*k**4/18 + 4*k**3/3 - 4*k**2/3 - 2*k - 108. Factor f(b).
-2*(b - 2)**2*(b - 1)**2/3
Let u be 6/12*(2 + 0 + -2). Factor 7*g + g**2 + 4 + u*g**3 + 0*g**3 - g**3 + g**2.
-(g - 4)*(g + 1)**2
Let c = 25100057/594084 - 2/148521. Find u, given that c - 13/2*u + 1/4*u**2 = 0.
13
Let n(b) be the third derivative of b**7/210 - b**6/90 - b**5/30 + b**4/6 - b**3/6 - 6*b**2. Let l(v) be the first derivative of n(v). Factor l(x).
4*(x - 1)**2*(x + 1)
Let 0 - 11/3*q**2 - 10*q = 0. What is q?
-30/11, 0
Let d be (6/(-9))/((-1)/(-3)) + 30/6. Suppose 0 - 3*j**2 + 3/2*j + 3/2*j**d = 0. Calculate j.
0, 1
Let k be (-2)/(-6) + 539/(-1419). Let j = 121/172 - k. Find a such that -9/4*a + j*a**2 + 3/4*a**4 - 3/2 + 9/4*a**3 = 0.
-2, -1, 1
Let l(u) be the third derivative of -u**7/42 + 11*u**6/12 - 5*u**5 + 145*u**4/12 - 95*u**3/6 + 48*u**2 - 1. Factor l(y).
-5*(y - 19)*(y - 1)**3
Let f(m) be the first derivative of m**3/8 - 39*m**2/16 - 21*m/4 + 63. Factor f(q).
3*(q - 14)*(q + 1)/8
Let x(g) = -33 - g**2 - 3*g + g**3 + 2*g**2 + 30. Let z(w) = w**3 - 3*w - 2. Let s(q) = -2*x(q) + 3*z(q). Factor s(h).
h*(h - 3)*(h + 1)
Let i be (-2)/(-4) + 169/390. Let v = -4/15 + i. Find t, given that v*t**5 + 0*t + 2*t**4 + 2/3*t**2 + 0 + 2*t**3 = 0.
-1, 0
Suppose -11855*c = -11857*c. Find q, given that c*q + 0 + 2/5*q**2 + 1/5*q**4 - 3/5*q**3 = 0.
0, 1, 2
Suppose 0*s - 13 + 35 = 11*s. Factor 2/7*n**4 + 0*n + 0 + 4/7*n**s - 6/7*n**3.
2*n**2*(n - 2)*(n - 1)/7
Let y be 12/(-9) + (-65)/(4550/(-120)). Determine q so that -2*q**2 + y*q**4 + 34/21*q + 2/7*q**3 - 2/7 = 0.
-3, 1/4, 1
Let w(a) = -12*a + 18. Let g(b) = -2*b**2 + 5*b**2 + b**2 - 5*b**2. Let n(m) = 2*g(m) - w(m). Factor n(z).
-2*(z - 3)**2
Let s(r) be the second derivative of 0 - 15*r - 1/10*r**2 + 1/15*r**3 - 1/60*r**4. Factor s(a).
-(a - 1)**2/5
Let l(c) be the second derivative of c**4/36 - c**3/3 - 7*c**2/6 - 45*c. Suppose l(a) = 0. What is a?
-1, 7
Let z be 2/6 - 47/141. Suppose 0 = -5*k - l - 2, -l + 2*l = -2. Factor 0*m - 4/3*m**2 + k*m**3 + z + m**4 + 1/3*m**5.
m**2*(m - 1)*(m + 2)**2/3
Suppose 54*n - 202 = 53*n. Let w = 115 + -60. Find g such that -n*g**3 + 13 + 345*g**4 - 3 - 140*g**5 - w*g**2 + 45*g - 3*g**3 = 0.
-2/7, -1/4, 1
Let h = 1824 + -1820. Factor 0 + 0*s + 2/3*s**3 + 2/9*s**5 - 2*s**2 + 10/9*s**h.
2*s**2*(s - 1)*(s + 3)**2/9
Factor -188/5*x - 4418/5 - 2/5*x**2.
-2*(x + 47)**2/5
Let i(a) be the first derivative of -7*a + 0*a**2 + 0*a**3 + 0*a**4 + 6 + 1/105*a**6 + 1/70*a**5. Let z(v) be the first derivative of i(v). Factor z(j).
2*j**3*(j + 1)/7
Factor 1/6*r**2 + 1350 + 30*r.
(r + 90)**2/6
Let u(i) be the third derivative of 0*i**4 + 0*i**5 + 0 + 1/189*i**7 - 20*i**2 - 1/135*i**6 + 0*i + 0*i**3 - 1/1512*i**8. Factor u(b).
-2*b**3*(b - 4)*(b - 1)/9
Let g(n) be the second derivative of -n**8/5040 - 2*n**7/945 - n**6/108 - n**5/45 + 4*n**4/3 + n. Let v(j) be the third derivative of g(j). Factor v(k).
-4*(k + 1)**2*(k + 2)/3
Let g be ((-260)/(-13))/(-10) + (-1)/((-20)/46). What is s in -s**3 + g*s + 0 - 1/10*s**2 = 0?
-3/5, 0, 1/2
Suppose -3*d = 2*q + 4, -5*q + 2 = 4*d + 19. Factor -d*c + 25/4*c**2 - 19/2*c**3 - 2*c**5 + 7*c**4 + 1/4.
-(c - 1)**2*(2*c - 1)**3/4
Suppose g = 2*h - 5*h + 2, 0 = 4*h - 4. Let p be 0 + -2*(g + 0). Suppose -2*j**p + 16 + 6*j - 16 = 0. What is j?
0, 3
Suppose 40 + 0*y**2 - 6*y + 5 - 8*y**2 + 5*y**2 = 0. What is y?
-5, 3
Let t be 4 + 0 + (0 - 0/5). Suppose f = -2*n + 3, -2*n + f = -t*f - 9. Let -1/2 - 3/2*b**n + 3/2*b + 1/2*b**3 = 0. What is b?
1
Let p be (-3)/(12/(-10))*(-200)/(-250). Determine d so that 2/19*d**p - 8/19*d + 6/19 = 0.
1, 3
Suppose 13*a - 3 = 15*a - 11. Factor 0 - 27/4*j**2 - 3/4*j**a - 9/2*j**3 + 0*j.
-3*j**2*(j + 3)**2/4
Let d be (56/(-98))/(13/7 - 2). Solve 349 - 25 - 51*i - 6*i - 15*i + d*i**2 = 0 for i.
9
Let n(m) be the first derivative of -3*m**5/5 + 3*m**4/4 + 3*m**3 - 3*m**2/2 - 6*m + 140. Factor n(a).
-3*(a - 2)*(a - 1)*(a + 1)**2
Let s = 215 - 215. Let k(b) be the third derivative of 0*b - 1/8*b**4 - 4*b**2 - 1/4*b**5 + s + 0*b**3. Factor k(f).
-3*f*(5*f + 1)
Let o(y) be the second derivative of y**7/2520 - y**6/120 + y**5/24 + y**4/3 + 15*y. Let a(t) be the third derivative of o(t). Factor a(j).
(j - 5)*(j - 1)
Let t = 2/765 + 143/3825. Let c(f) be the second derivative of -t*f**5 + 7*f + 0*f