3*s, -5*l - 3*s = x. Factor 2/3*c**4 + 10/9*c**2 - 2/9*c + l - 14/9*c**3.
2*c*(c - 1)**2*(3*c - 1)/9
Let f(y) be the second derivative of y**6/30 - 43*y**5/20 + 41*y**4/12 + 43*y**3/6 - 21*y**2 + 44*y - 94. Suppose f(u) = 0. What is u?
-1, 1, 42
Let x(h) be the second derivative of -h**5/180 - 7*h**4/9 - 55*h**3/18 - 47*h**2/2 + 3*h + 24. Let t(k) be the first derivative of x(k). Factor t(d).
-(d + 1)*(d + 55)/3
Find a, given that -11760*a - 31852 - 375*a**2 - 3*a**3 - 34004 + 18*a**2 = 0.
-56, -7
Let m(h) be the first derivative of -h**4/78 + 16*h**2/13 - 10*h - 205. Let o(k) be the first derivative of m(k). Factor o(v).
-2*(v - 4)*(v + 4)/13
Suppose 15*z + 375 - 5217 = -792*z. Factor -6*h + 0 + 3/2*h**3 - 3/2*h**4 + z*h**2.
-3*h*(h - 2)*(h - 1)*(h + 2)/2
Let v(o) = -o**3 - 15*o**2 + 14*o - 2. Let h be v(-19). Let c = -5878/5 + h. Factor -c*b**4 - 8/5*b + 8/5*b**2 + 0 + 2/5*b**3.
-2*b*(b - 2)*(b - 1)*(b + 2)/5
Let i = 214 + -209. Suppose -i*u + u + 12 = 0. Find y such that -3/7*y**2 - 3/7*y + 3/7 + 3/7*y**u = 0.
-1, 1
Let -9/5*w**5 + 0 + 6/5*w**4 + 1/5*w - 6/5*w**2 + 8/5*w**3 = 0. Calculate w.
-1, 0, 1/3, 1
Let g(o) = 2376*o - 14256. Let f be g(6). Find b, given that f - 8/9*b**2 + 0*b + 4/9*b**4 + 4/9*b**3 = 0.
-2, 0, 1
Factor 2617068/7 + 3/7*s**2 - 5604/7*s.
3*(s - 934)**2/7
Suppose 3*g = 2*d + 148, 3*d - 153 = 2*g - 5*g. Determine t, given that 70*t**2 + 147 - 22 + g*t - 65*t**2 = 0.
-5
Let y(p) be the third derivative of -46*p**2 + 1/12*p**5 - 25/24*p**4 + 0 + 0*p + 0*p**3. Factor y(q).
5*q*(q - 5)
Suppose -5*v - r = 0, 54*r - 59*r = 68*v. Solve -87/8*d + v - 3/8*d**3 + 45/4*d**2 = 0.
0, 1, 29
Let v(n) = n**3 + 6*n**2 - 20*n + 1. Let y be v(-8). Suppose 0 = 3*k - 12, 10 = -2*u - 5*k + 36. Factor 17*r**2 + 3*r**3 + 12*r - u*r - y + 6 - 2*r**2.
3*(r - 1)*(r + 3)**2
Suppose -4*i = 4*b + 100, 3*b + 6 = -6. Let d be 1/5*(i + 24). Factor d*a**2 + 6/5*a + 3/5.
3*(a + 1)**2/5
Let v(p) be the first derivative of -2*p**4/7 - p**3/21 + 4*p**2/7 + p/7 - 735. Factor v(x).
-(x - 1)*(x + 1)*(8*x + 1)/7
Let g(q) be the first derivative of q**6/36 + 5*q**5/3 + 673*q**4/24 + 200*q**3/3 + 48*q**2 - 1864. Solve g(s) = 0 for s.
-24, -1, 0
Let h(d) be the second derivative of d**6/30 + 19*d**5/20 + 11*d**4/2 - 36*d**3 - 3400*d. Solve h(a) = 0.
-12, -9, 0, 2
Let x be 4/8*6 + 3. Let y = 611 + -608. Factor -l**3 + 4*l**3 + 7*l**3 + 8 - x*l**y - 12*l.
4*(l - 1)**2*(l + 2)
Let a(g) be the second derivative of g**7/10080 + g**6/1440 - g**5/60 + 35*g**4/12 + g**3/3 - 3*g - 2. Let i(o) be the third derivative of a(o). Factor i(y).
(y - 2)*(y + 4)/4
Let p = -668436/7 + 95491. Factor -10/7*j - 33/7*j**2 - p - 40/7*j**3 - 16/7*j**4.
-(j + 1)**2*(4*j + 1)**2/7
Factor -75 - 324*n**3 - 7*n**2 - 308*n**3 - 85*n + 637*n**3 + 2*n**2.
5*(n - 5)*(n + 1)*(n + 3)
Let y = 2726 + -2840. Let p be (-65)/y - (-132)/792. Factor p*f**2 - 16/19*f + 2/19.
2*(f - 1)*(7*f - 1)/19
Let w be (((-400)/(-125))/((-84)/(-45)))/(182/49). Factor 50/13*n + w*n**2 + 42/13 - 2/13*n**3.
-2*(n - 7)*(n + 1)*(n + 3)/13
Let f(i) be the third derivative of 1/80*i**5 - 1/480*i**6 - 1 + 0*i**4 + 0*i**3 - 25*i**2 + 0*i. Find p such that f(p) = 0.
0, 3
Let k be (-30318)/1630 - (-5 + 98/(-7)). Find l such that 0 - 1/5*l**3 + 3/5*l**2 - k*l = 0.
0, 1, 2
Suppose 14*r + 16 = 18*r. What is x in 13*x - 9*x**r + x + 68*x**3 - 7*x**4 - 64*x**2 - 2*x = 0?
0, 1/4, 1, 3
Let b(d) = d**4 + d**3 + d**2 + d + 19. Let o(j) = 8*j**4 - 585*j**3 - 3324*j**2 + 2837*j + 1087. Let f(v) = -4*b(v) + 4*o(v). Determine k, given that f(k) = 0.
-6, -2/7, 1, 89
Let x = 34 + -55. Let d be ((-7)/(x/2))/((-2)/(-24)). Let k(y) = -10*y**2 - 35*y - 25. Let p(s) = 15*s**2 + 52*s + 37. Let i(u) = d*k(u) + 5*p(u). Factor i(v).
-5*(v + 1)*(v + 3)
Let c(p) be the second derivative of 0*p**2 + 0 + 1/48*p**4 + 1/24*p**3 - 82*p. Find u, given that c(u) = 0.
-1, 0
Let l(c) be the first derivative of -3*c**5/5 - 75*c**4/4 - 189*c**3 - 1221*c**2/2 - 726*c - 1030. Factor l(w).
-3*(w + 1)*(w + 2)*(w + 11)**2
Factor -4811202 + 5527*j + 937*j - 155*j - 2*j**2 - 105*j.
-2*(j - 1551)**2
Let k = 182543 + -182543. Find b such that k*b + 2/3*b**2 - 6 = 0.
-3, 3
Let p(a) be the third derivative of a**5/12 - 185*a**4/12 + 1600*a**3/3 - 187*a**2 + 8*a. Let p(b) = 0. What is b?
10, 64
Let s(m) be the first derivative of m**8/840 - m**7/420 + 10*m**3 - 28. Let c(f) be the third derivative of s(f). Suppose c(t) = 0. What is t?
0, 1
Let y(r) be the first derivative of r**6/45 - 26*r**5/25 + 19*r**4/15 - 1215. Find g such that y(g) = 0.
0, 1, 38
Let l be (7 - 6 - 3)*(-15)/6. Let j(i) = -i**2 + 6*i + 2. Let x be j(6). Solve l*v**2 + 0*v**2 + 8 - 7*v**x + 0 = 0.
-2, 2
Let q(u) be the third derivative of u**8/840 - u**7/21 + 41*u**6/100 - 7*u**5/6 + 19*u**4/15 - 5818*u**2. Let q(i) = 0. Calculate i.
0, 1, 4, 19
Suppose 4*x - 2*h = 8, -3*h + 7 - 4 = -x. Let n(f) be the third derivative of 0*f**5 - 2/3*f**x + 1/60*f**6 - 1/4*f**4 + 2*f**2 + 0*f + 0. Factor n(z).
2*(z - 2)*(z + 1)**2
Suppose -13*a - 1223 = -1210. Let f be ((-6)/7)/a - 80/126. Factor -1/9*o**4 - f*o**3 - 4 + 11/9*o**2 + 4/3*o.
-(o - 2)**2*(o + 3)**2/9
Let u(p) = p**3 + 2*p**2 + p + 1. Let x(f) = 42*f**4 + 24 + 64*f**3 - 14*f + 52*f**2 - 46*f**4 - 2*f. Let v(z) = -24*u(z) + x(z). Suppose v(q) = 0. Calculate q.
-1, 0, 1, 10
Let o(x) be the first derivative of -3*x**4/5 + 128*x**3/15 - 136*x**2/5 + 128*x/5 + 1279. Factor o(u).
-4*(u - 8)*(u - 2)*(3*u - 2)/5
Let m be 4333/(-539) + (-32)/(-176) + 8. Factor -9/7 + m*v**2 + 8/7*v.
(v - 1)*(v + 9)/7
Let z(c) be the third derivative of c**7/525 + c**6/30 + c**5/50 - 9*c**4/10 + 403*c**2. Factor z(v).
2*v*(v - 2)*(v + 3)*(v + 9)/5
Let q(s) be the second derivative of -9*s**4/16 - 71*s**3/4 - 399*s**2/8 - 2909*s. What is b in q(b) = 0?
-133/9, -1
Let a(j) = -3*j**2 + 271*j + 1037. Let t be a(94). Let u(k) be the third derivative of 0*k**t + 0*k + 1/90*k**5 - 21*k**2 + 0*k**4 + 0. Factor u(m).
2*m**2/3
Let o(l) be the first derivative of -3*l**4/28 + 3*l**3/7 + 627*l**2/7 + 836. Find w such that o(w) = 0.
-19, 0, 22
Let n(d) be the third derivative of d**7/168 + 7*d**6/32 - 13*d**5/8 - 85*d**4/12 + 40*d**3 - 4*d**2 - 2*d - 442. Let n(q) = 0. Calculate q.
-24, -2, 1, 4
Let s(q) be the third derivative of -7*q**6/120 - 271*q**5/60 + 179*q**4/12 - 40*q**3/3 + 30*q**2 - 23. Factor s(k).
-(k - 1)*(k + 40)*(7*k - 2)
Let s(d) be the first derivative of -3/8*d**4 - 19/2*d**2 + 8*d + 135 - 29/6*d**3. Let s(o) = 0. Calculate o.
-8, -2, 1/3
Let r = 226159 - 5201649/23. Let -2/23*w**3 + 4/23 - 10/23*w + r*w**2 = 0. Calculate w.
1, 2
Let l = 430122/1236733 - -2/53771. Let n(s) be the first derivative of 4/23*s**2 - l*s - 1/46*s**4 + 11 + 2/69*s**3. Factor n(i).
-2*(i - 2)*(i - 1)*(i + 2)/23
Let u be 3 - -13*3*(1 - 0). Let d = 42 - u. Factor 4*a - a**2 - 14*a + d*a - 25.
-(a + 5)**2
Let w(n) be the third derivative of -n**6/15 + 31*n**5/5 + 143*n**4/6 + 32*n**3 - 357*n**2 - 6*n. Factor w(f).
-4*(f - 48)*(f + 1)*(2*f + 1)
Determine w, given that 0*w + 2/13*w**4 + 0 - 2506/13*w**3 - 2508/13*w**2 = 0.
-1, 0, 1254
Let g be ((260/(-39))/20)/(((-60)/9)/2). Let j(a) be the first derivative of 22 + g*a**4 - 1/5*a**2 - 6/5*a + 2/5*a**3. Factor j(t).
2*(t - 1)*(t + 1)*(t + 3)/5
Let w(k) be the first derivative of 9/10*k**5 + 50*k**2 + 121/16*k**4 + 1/24*k**6 + 122 + 30*k**3 + 0*k. Factor w(d).
d*(d + 4)**2*(d + 5)**2/4
Suppose n - 3 = 2*n + 5*i, 3*n - i = 7. Find z, given that -12 + 5*z**3 + 248*z**4 - 5*z**3 - 251*z**4 + 15*z**n = 0.
-2, -1, 1, 2
Let t = -10956 - -10958. Factor 2/3*g**4 + 0 - t*g - 10/3*g**2 - 2/3*g**3.
2*g*(g - 3)*(g + 1)**2/3
Let l(t) = -5*t**4 - 67*t**3 + 148*t**2 - 6*t - 6. Let x(r) = -6*r**4 - 67*r**3 + 151*r**2 - 7*r - 7. Let b(w) = -7*l(w) + 6*x(w). Factor b(y).
-y**2*(y - 65)*(y - 2)
Let z(f) = -7*f + 48. Let u be z(5). Suppose 0 = -2*g - i + u, -i = -g + 4*i + 1. Suppose 8*s - 2*s**2 + 9 - 4 - 5 - g = 0. What is s?
1, 3
Let l(w) be the second derivative of 140*w + 0*w**2 - 6/17*w**5 + 100/51*w**4 + 0*w**3 - 6/85*w**6 - 1/357*w**7 + 0. Factor l(r).
-2*r**2*(r - 2)*(r + 10)**2/17
Let c(o) be the second derivative of -o**5/5 - 14*o**4/3 + 10*o**3 - 5230*o. Solve c(q) = 0 for q.
-15, 0, 1
Solve 392*v**2 + 37 + 100*v**3 + 2*v**4 - 8*v**4 - 279 - 157 + 79 + 176*v = 0 for v.
