 + f = -w + 15, 3*w = 3. Suppose 7*t = -f*t + 14. Factor 3*b - 8*b - b**2 + t + 5*b.
-(b - 1)*(b + 1)
Find a such that 6/7*a**4 + 0 + 0*a + 0*a**2 - 4/7*a**3 - 2/7*a**5 = 0.
0, 1, 2
Let x be (-8)/(-16)*(4760/748 - (6 + 0)). Find j, given that 102/11 - 28*j - 108/11*j**3 + 312/11*j**2 + x*j**4 = 0.
1, 51
Let c(h) = 5*h**3 + 12*h**2 - 15*h - 2. Let y(u) = -6*u**3 - 13*u**2 + 16*u + 3. Let m be (-6 + (-105)/(-10))/(3/4). Let l(q) = m*y(q) + 7*c(q). Factor l(p).
-(p - 4)*(p - 1)**2
Solve -10/7*a**3 - 170/7*a - 296/7*a**2 + 116/7 = 0.
-29, -1, 2/5
Let d(i) be the second derivative of -i**7/189 + i**6/135 + 19*i**5/45 + 17*i**4/27 - 37*i**3/27 - 35*i**2/9 + 7774*i. Suppose d(q) = 0. What is q?
-5, -1, 1, 7
Let l(q) = -3*q**3 - q**2 + 2. Let x(p) = -p**3 - 285*p**2 + 10082*p + 2. Let o(n) = -l(n) + x(n). Factor o(y).
2*y*(y - 71)**2
Let u be ((-1)/14)/(6/(-156)) - (-11 - (-913)/77). Factor 1/3*r**2 - 5/6*r + 1/6*r**3 - u.
(r - 2)*(r + 1)*(r + 3)/6
Let c(q) = -q**2 - 1. Let g(j) be the first derivative of 8*j**2 + 6*j - 2/3*j**3 + 1/4*j**4 + 7. Let l(i) = 6*c(i) + g(i). Determine d so that l(d) = 0.
0, 4
Let v(o) be the first derivative of -4*o**3/57 + 97*o**2/19 - 372*o/19 - 3611. Factor v(s).
-2*(s - 2)*(2*s - 93)/19
Let i(b) be the second derivative of -b**5/16 - 125*b**4/6 + 335*b**3/8 + 2439*b. Factor i(y).
-5*y*(y - 1)*(y + 201)/4
Let g(h) be the third derivative of -25*h**8/448 - 23*h**7/168 + 61*h**6/96 - 17*h**5/48 - 5*h**4/16 - 11*h**2 - 3*h + 16. Suppose g(d) = 0. Calculate d.
-3, -1/5, 0, 2/3, 1
Factor -25 + 5451959*w**2 - 5451963*w**2 + 73 - 16*w.
-4*(w - 2)*(w + 6)
Suppose -o = 2*i + 6, -14*i + 17*i + 9 = 3*o. Suppose 4*x = -4*a + 60, 9*x - 6*x - a - 25 = o. Solve 5/2*w**5 + 5 - 5*w**2 + 15/2*w - x*w**3 + 0*w**4 = 0.
-1, 1, 2
Let w(g) be the first derivative of g**6/9 - 5*g**5/3 + 31*g**4/6 + 107*g**3/9 - 113*g**2/3 + 80*g/3 + 2968. Suppose w(l) = 0. What is l?
-2, 1/2, 1, 5, 8
Suppose -s + 7 = 5*n, 5*s = 4*n + 14 + 21. Let f(q) be the first derivative of n*q + 0*q**2 + 2*q**3 + 24 + 3/4*q**4. What is l in f(l) = 0?
-2, 0
Find x, given that 12*x - 74*x**4 - 498020*x**3 - 136*x**2 + 497757*x**3 + 32*x + 9*x**5 = 0.
-2, -1, 0, 2/9, 11
Find x such that 94557 - 93*x + 173*x + x**2 - 392*x - 250*x - 15596 = 0.
281
Let q(b) be the second derivative of -b**6/135 - 11*b**5/90 + 2*b**4/27 + 44*b**3/27 - 3670*b. Find d such that q(d) = 0.
-11, -2, 0, 2
Let x(w) be the third derivative of 1/120*w**6 + 18*w**2 + 0*w**5 - 1/6*w**4 + 0*w + 0 + 0*w**3. Factor x(o).
o*(o - 2)*(o + 2)
Factor -20/7*a**2 + 788/7*a - 312/7.
-4*(a - 39)*(5*a - 2)/7
Let d(s) be the first derivative of -4*s**5/35 - 4*s**4/7 + 4*s**3/21 + 8*s**2/7 - 4747. Suppose d(c) = 0. What is c?
-4, -1, 0, 1
Suppose -182 = 3*f - 16*f. Let s = f - 12. Factor -15*o**4 - 7*o**2 + 0*o**3 - 20*o**3 - o**s + 3*o**2.
-5*o**2*(o + 1)*(3*o + 1)
Let x(g) be the third derivative of g**6/40 + 163*g**5/20 - 83*g**4 + 334*g**3 - 5*g**2 - 301. Suppose x(u) = 0. Calculate u.
-167, 2
Let x be 11 - (-14 - -29) - 13 - -20. Determine n, given that 14*n + 12 + 3*n**2 - 1/2*n**4 - 3/2*n**x = 0.
-2, 3
Suppose -62*v + 64*v = 0. Suppose v = -6*y + 11*y - 15. What is f in f + f**y + 18*f**2 - 15*f**2 + 2*f**3 + f**4 = 0?
-1, 0
Let f(t) be the second derivative of -t**4/42 + 362*t**3/7 - 294849*t**2/7 + 2*t + 708. Determine g, given that f(g) = 0.
543
Suppose -p - 90 = -93. Factor -15*k**4 + 11*k**p + 24 + 19*k**3 + 80*k + 78*k**2 + 19*k**4.
2*(k + 2)**2*(k + 3)*(2*k + 1)
Suppose -4*q + 0*i + i + 36 = 0, -5*q + i + 46 = 0. Suppose 7*g = 9*g - q. Factor 44/7*u**3 - 32/7 + 24/7*u**4 - 48/7*u + 4/7*u**g + 8/7*u**2.
4*(u - 1)*(u + 1)*(u + 2)**3/7
Let o(h) be the second derivative of h**4/42 + 158*h**3/7 + h + 321. Factor o(g).
2*g*(g + 474)/7
Let c(l) = -5*l**3 + 150*l**2 - 282*l + 140. Let b(d) = -9*d**3 + 300*d**2 - 568*d + 282. Let z(w) = -3*b(w) + 5*c(w). Factor z(y).
2*(y - 73)*(y - 1)**2
Let q = 8306 + -8306. Let v(r) be the third derivative of -1/40*r**4 - 1/10*r**3 + 0*r + q + 1/100*r**5 + 1/200*r**6 - 6*r**2. Solve v(z) = 0 for z.
-1, 1
Let b(n) be the second derivative of n**7/42 + 229*n**6/30 + 12993*n**5/20 - 13685*n**4/12 - 13225*n**3/3 + 667*n. Find x such that b(x) = 0.
-115, -1, 0, 2
Suppose -19*f = -f - 8190. Factor 4*j**3 - 3*j**2 - 3*j - f*j**4 + 458*j**4 - j**3.
3*j*(j - 1)*(j + 1)**2
Suppose 45*w - 42*w - 204 = 0. Let f(v) = -v**2 + 15*v - 20. Let n be f(10). Solve n*j**2 - 42*j + 65*j - 5*j**3 - w*j = 0 for j.
0, 3
Determine s so that 2892*s - 2/3*s**2 - 3136374 = 0.
2169
Let m(l) = -l**4 + 18*l**3 + 99*l**2 + 230*l + 182. Let y(d) = 4*d**4 - 54*d**3 - 296*d**2 - 691*d - 547. Let h(f) = 7*m(f) + 2*y(f). Factor h(t).
(t + 2)*(t + 3)**2*(t + 10)
Let y(g) be the first derivative of -g**5/10 + 6*g**4 - 332*g**3/3 + 528*g**2 - 968*g - 704. Factor y(d).
-(d - 22)**2*(d - 2)**2/2
Factor 0*k + 1/6*k**4 + 0 - 131/6*k**2 + 65/3*k**3.
k**2*(k - 1)*(k + 131)/6
Let v(n) = -2*n**3 - 86*n**2 - 206*n - 98. Let g(b) = b**3 - b - 1. Let f(c) = 8*g(c) - v(c). Let f(r) = 0. What is r?
-5, -3, -3/5
Let a be (3 - 1) + 8/(-2 + 0). Let p be ((-8)/(-3))/(a + (-50)/(-24)). Factor -24*i + 6*i**2 + i**3 - i**2 + p*i + 4.
(i + 1)*(i + 2)**2
Let i(n) be the third derivative of 3*n**4 + 1/3*n**5 - 19*n**2 + 0 + 3*n - 16/3*n**3. Solve i(o) = 0.
-4, 2/5
Let u(d) = -21*d**2 - 81*d - 42. Let h(x) = -23*x - 6*x**2 - 8 + 5 - 9 + 0*x. Let i = -93 - -88. Let l(o) = i*u(o) + 18*h(o). Factor l(a).
-3*(a + 1)*(a + 2)
Let v(w) be the first derivative of w**4/2 - w**3/6 - w**2 - 110*w - 128. Let b(h) be the first derivative of v(h). Determine o so that b(o) = 0.
-1/2, 2/3
What is p in 1206*p**2 - 12180 - 2323*p**2 + 1112*p**2 - 6100*p = 0?
-1218, -2
Let q(p) be the second derivative of -1/180*p**5 - 1/2*p**2 - 5*p + 0 + 2/9*p**3 + 0*p**4. Let b(h) be the first derivative of q(h). Factor b(o).
-(o - 2)*(o + 2)/3
Let j(u) be the first derivative of u**7/2100 + 13*u**6/900 - 10*u**3/3 - 2*u - 222. Let h(d) be the third derivative of j(d). Factor h(k).
2*k**2*(k + 13)/5
Let r(u) be the third derivative of 0 - 4/15*u**5 - 1/504*u**8 - 5*u**2 - 8/315*u**7 + 0*u**3 + 3*u - 11/90*u**6 - 1/4*u**4. Factor r(b).
-2*b*(b + 1)**2*(b + 3)**2/3
Let v(y) = -8*y**2 - 30*y - 42. Let s = -235 - -238. Let m(r) = -r**2 + 1. Let l(j) = s*m(j) - v(j). Find i such that l(i) = 0.
-3
Let i(o) be the first derivative of o**6/2700 - 2*o**5/225 + 7*o**4/180 + 56*o**3/3 - 43. Let m(a) be the third derivative of i(a). Factor m(b).
2*(b - 7)*(b - 1)/15
Factor -1584*h**2 + 63*h**3 - 45 + 58*h**3 - 149*h - 523*h - 13*h**3 + 135*h.
3*(h - 15)*(6*h + 1)**2
Suppose 0 = o + 5*l + 21, -344*o + 13 = -342*o - l. Let a(w) be the first derivative of 40*w - 38/15*w**3 - 31 + 16*w**2 + 1/10*w**o. Let a(f) = 0. Calculate f.
-1, 10
Suppose 102 - 44 = -221*z + 225*z + 50. Find t, given that -6/5*t - 2/5*t**z + 36/5 = 0.
-6, 3
Let q(j) be the first derivative of 5*j**3/3 - 455*j**2 + 2702. Factor q(d).
5*d*(d - 182)
Suppose 4*u - 25 = -1. Let k = u + -6. Factor 2*z**3 - 2*z + 0*z**3 + k*z + 10*z**2 - 10.
2*(z - 1)*(z + 1)*(z + 5)
Let v(l) be the second derivative of -l**4/108 - 41*l**3/3 - 15129*l**2/2 - 3678*l + 2. Factor v(t).
-(t + 369)**2/9
Let o(i) be the third derivative of -2*i**2 + 1/20*i**5 + 33*i + 0 + 3/2*i**4 + 0*i**3. Let o(n) = 0. Calculate n.
-12, 0
Let b(k) be the first derivative of -3*k**5/5 + 33*k**4/2 + 24*k**3 - 33*k**2 - 69*k - 1355. Find f such that b(f) = 0.
-1, 1, 23
Suppose 20 = 6*v + 8. Let -12*d**4 + 4*d**v - 18*d**3 + 11*d**4 - 10*d**3 + 32*d - 19*d**4 - 4*d**5 + 16 = 0. Calculate d.
-2, -1, 1
Suppose -2*a = -7*a + 5*n + 10, -4*a + 8 = 2*n. Factor -11*h - 4264*h**2 + 3*h + 4264*h**a + 2*h**3.
2*h*(h - 2)*(h + 2)
Let n(r) be the third derivative of -r**8/896 + 11*r**7/560 - 17*r**6/320 - 11*r**5/160 + 9*r**4/32 + 10*r**2 + 16*r + 3. Let n(t) = 0. What is t?
-1, 0, 1, 2, 9
Let g(f) be the third derivative of -f**8/168 + 8*f**7/105 + 551*f**6/60 - 511*f**5/3 - 19159*f**4/3 + 793016*f**3/3 + 6213*f**2. Factor g(i).
-2*(i - 14)**3*(i + 17)**2
Let m(w) be the second derivative of -13*w**4/6 - 86*w**3/5 + 8*w**2/5 + 3*w + 26. Let m(k) = 0. Calculate k.
-4, 2/65
Suppose -2*f + 3*w + 2*w + 6 = 0, -3*f - 3*w + 9 = 0. Let g = 88 - 81. Factor 2*q + g*q**2 - 2*q**f - 2