*2 + 0*g + 1/2*g**4 - 10/3*g**3. Suppose z(v) = 0. Calculate v.
0, 2, 3
Let x(g) be the first derivative of -1/1800*g**6 + 15 + 0*g - 1/150*g**5 - 8*g**3 - 1/40*g**4 + 0*g**2. Let h(z) be the third derivative of x(z). Factor h(u).
-(u + 1)*(u + 3)/5
Factor 1/2*k**3 - 3074301184 + 5034336*k - 2748*k**2.
(k - 1832)**3/2
Solve -7*a**4 + 126*a**2 - 1167*a**2 - 720 + 17*a**4 - 165*a**3 - 6*a**4 - 1599*a - 7*a**4 = 0 for a.
-48, -5, -1
Let r be (1/4)/((-4)/(-24)). Suppose 6 - 10 = -226*y - 4. Factor y - 3/2*l - r*l**3 - 3*l**2.
-3*l*(l + 1)**2/2
Let d = 2057 + -2055. Let x(m) be the first derivative of 3/16*m**4 + 0*m**d - 16 + 0*m - 1/4*m**3. Find u, given that x(u) = 0.
0, 1
Let p(z) be the second derivative of -z**7/420 + z**6/60 + z**5/60 - z**4/4 + z**3/3 - 3*z**2/2 - 152*z. Let b(s) be the second derivative of p(s). Factor b(l).
-2*(l - 3)*(l - 1)*(l + 1)
Let v be (8/(-28)*21/12)/(2662/(-968)). Factor 8/11*b + 8/11 + v*b**2.
2*(b + 2)**2/11
Let g be 1/(65/1765) + 4/(-26). Suppose -25*m + g = -23. What is t in -4/5*t + 0 + 6/5*t**m - 2/5*t**3 = 0?
0, 1, 2
Suppose 4*i + 4 = 4*a, -5*i + 15 + 4 = a. Let w = -2/1764005 - -21168086/22932065. Factor 24/13*p**2 + w*p**i + 20/13*p + 2/13*p**4 + 6/13.
2*(p + 1)**3*(p + 3)/13
Let g be (-6 - -3)/((-3)/2). Suppose 1868*u = 1862*u + 60. Solve -m**3 - m**4 + 2*m**2 - 7*m**3 - g*m**5 - m**4 + u*m**3 = 0 for m.
-1, 0, 1
Let j(i) = 23*i**4 - 2*i**3 + 19*i**2 - 40*i. Let c(g) = 2*g**4 - g - 1. Let f(q) = 60*c(q) - 5*j(q). Suppose f(u) = 0. What is u?
-6, 1, 2
Suppose 3*b - 12 = 0, 2 = -r + b - 0. Let z be (0 + 5/r)*(30 - 28). Find j, given that z*j**4 - 2*j**2 + 0*j + 10*j**3 - 9*j - 3*j**2 - j = 0.
-2, -1, 0, 1
Let g = 70533 - 352664/5. Factor g*r**2 - 1/5 + 0*r.
(r - 1)*(r + 1)/5
Let v(w) be the second derivative of -50*w**7/9 - 34*w**6/9 + 653*w**5/60 + 169*w**4/18 + 47*w**3/18 + w**2/3 - w + 219. Find g such that v(g) = 0.
-1, -2/7, -1/10, 1
Let g(a) be the second derivative of a**5/20 + 13*a**4/2 + 50*a**3 + 148*a**2 + 468*a - 3. Factor g(l).
(l + 2)**2*(l + 74)
Let u be ((-6)/(-14))/(35 - 4521/132). Solve -64/21 - u*j**5 - 12*j**3 + 200/21*j**2 + 16/7*j + 14/3*j**4 = 0 for j.
-1/2, 2/3, 2, 4
Let j(f) = f**2 - 13*f + 3. Let r be j(13). Suppose -2 = -z + r*t, -4*z + 10 = z - 4*t. Factor -7*m**2 - 4*m**3 + 6*m**z - 7*m**2 + 8*m**4 + 4*m**5.
4*m**2*(m - 1)*(m + 1)*(m + 2)
Let l(j) be the second derivative of j**6/50 + 168*j**5/25 - 339*j**4/10 + 68*j**3 - 681*j**2/10 + 13*j - 3. Suppose l(t) = 0. Calculate t.
-227, 1
Let s be 11/(-72) - (-4689)/12504. Factor s*d**3 + 10/9*d + 4/9 + 8/9*d**2.
2*(d + 1)**2*(d + 2)/9
Suppose -19*f + 16 = -15*f. Factor -2*s**2 + 24*s + 45 - 7*s**2 + f*s**2 + 8*s**2.
3*(s + 3)*(s + 5)
Let u be (2990/(-25))/((-4)/20*-1). Let d = u - -6580/11. Factor -d - 8/11*y - 6/11*y**2.
-2*(y + 1)*(3*y + 1)/11
Let s = 80637 - 80637. Suppose -8*q**3 + 4/5*q**4 + 0 + 64/5*q**2 + s*q = 0. What is q?
0, 2, 8
Let w(p) = -6*p - 17. Let h be w(7). Let s = -59 - h. Factor 0 + 3/5*r**3 + 2/5*r**2 + 1/5*r**4 + s*r.
r**2*(r + 1)*(r + 2)/5
Let r be (33/22)/(6/16). Suppose r*d - 46 = 2. Determine w, given that 7*w**2 - 49*w**2 - 8*w**2 + 8*w**3 + 84*w - 6 - d = 0.
1/4, 3
Let f be ((17 + -39)/66)/((-21)/18). Factor -2*d + 8/7*d**2 + f*d**3 - 20/7.
2*(d - 2)*(d + 1)*(d + 5)/7
Suppose -4609*o - 30 = -4619*o. Let v(g) be the second derivative of 0 + 1/21*g**4 + 0*g**2 + 1/35*g**5 - 4/21*g**o + 9*g. Determine c so that v(c) = 0.
-2, 0, 1
Let i be (0/(-12))/((-9 - 1) + (15 - 3)). Let d = 1578/7 - 225. Factor 9/7*p**2 - 6/7*p + i - d*p**3.
-3*p*(p - 2)*(p - 1)/7
Suppose -99 = -63*q - 83 + 236. Let b(w) be the third derivative of 1/21*w**q + 0*w + 9*w**2 - 2/21*w**3 - 1/105*w**5 + 0. Determine v, given that b(v) = 0.
1
Let k(q) = -4*q**2 - 41*q - 22. Let w be k(-9). Suppose 20*o - w = 17. Let -3/2*c**o - 6 - 6*c = 0. Calculate c.
-2
Suppose -4 = -2*m + 186*y - 188*y, -6*m = 3*y - 6. Factor 0*j - 2/13*j**5 + 6/13*j**3 - 4/13*j**4 + m*j**2 + 0.
-2*j**3*(j - 1)*(j + 3)/13
Factor -32 + 223775*z - 12*z**2 - 24*z**3 - 4*z**3 - 223703*z.
-4*(z - 1)*(z + 2)*(7*z - 4)
Factor 2182/15*t**2 - 2/5*t + 0.
2*t*(1091*t - 3)/15
Suppose -41*v = -30*v - 154. Let g(d) be the third derivative of 0*d**3 + 0*d - v*d**2 + 0 - 1/24*d**4 - 1/60*d**5. Determine m so that g(m) = 0.
-1, 0
Let f be (-8 - 20)*(-5)/(-10) + 8 - -6. What is z in f + 2/3*z**5 - 20/3*z**4 - 40*z**2 + 74/3*z**3 + 24*z = 0?
0, 2, 3
Let d(r) be the third derivative of -r**7/105 + 25*r**6/12 - 3841*r**5/30 - 1407*r**4/4 + 2646*r**3 + 6*r**2 - 4*r + 6. Factor d(q).
-2*(q - 63)**2*(q - 1)*(q + 2)
Let u(t) = 93*t**2 - 2599*t - 137. Let r be u(28). Suppose 0 + 98/3*l - 28/3*l**2 + 2/3*l**r = 0. Calculate l.
0, 7
Let n(m) be the second derivative of 245/12*m**4 + 0*m**2 + 0 + 23/4*m**5 + 125/6*m**3 - 1/6*m**6 + 278*m. Factor n(l).
-5*l*(l - 25)*(l + 1)**2
Let t(p) be the first derivative of p**5/4 - 11*p**4/8 + 13*p**3/12 + 7*p**2/2 - 3*p + 9644. What is b in t(b) = 0?
-1, 2/5, 2, 3
Let q(r) be the first derivative of r**5/25 - r**4/10 - 61*r**3/3 + 153*r**2/5 + 6358. Solve q(a) = 0.
-17, 0, 1, 18
Let q(y) be the third derivative of -y**10/1436400 - 23*y**9/574560 + y**8/7980 + 6*y**5/5 + 26*y**2 - 3. Let k(m) be the third derivative of q(m). Factor k(c).
-2*c**2*(c - 1)*(c + 24)/19
Let 23/3*h**3 - 38/3*h**4 + 0*h + h**5 + 0 + 4*h**2 = 0. What is h?
-1/3, 0, 1, 12
Let k(b) = -5059*b - 94 + 5092*b - b**2 - 22. Let o be k(4). Solve -6*g**4 + o + 16/7*g**2 - 250/7*g**3 + 24/7*g = 0 for g.
-6, -2/7, 0, 1/3
Let p be ((-111 + 62)*7)/(16/(-7) + 2). Factor -p*k**2 + 49/2*k**3 - 1/6*k**4 + 0 + 117649/6*k.
-k*(k - 49)**3/6
Find p such that 752/9 + 2/9*p**3 + 760/9*p + 196/9*p**2 = 0.
-94, -2
Let m(p) be the third derivative of p**6/40 - 27*p**5/20 + 13*p**4/4 + 283*p**2 - p. Determine v, given that m(v) = 0.
0, 1, 26
Suppose -21*f + 24 = -15*f. Factor 20*t**f + 160*t + 21 - 52*t**2 - 85 - 12*t**3 + 4*t**5 - 48*t**2 - 8*t**3.
4*(t - 1)**3*(t + 4)**2
Let l(c) = -16*c**3 - 3*c**2 - 426 + 12*c + 3*c**3 + 412. Let x(i) = -11*i**3 - 2*i**2 + 11*i - 13. Let d(m) = -5*l(m) + 6*x(m). What is q in d(q) = 0?
-2, 1, 4
Let n be (36/12*3)/1. Suppose -4*l = 4*u - 36, 3*u - 2*l - 3*l = 19. Factor -4 - u + 50*x - 35*x**2 + 6 - n.
-5*(x - 1)*(7*x - 3)
Let j = 1190406 - 1189956. Factor -30*c + j + 1/2*c**2.
(c - 30)**2/2
Let c(p) be the first derivative of -361*p - 1/3*p**3 + 19*p**2 + 46. Factor c(k).
-(k - 19)**2
Let j = -3/2 + 37/22. Let n be ((-234)/(-27) - 8)*(-6)/(-22). Factor 2/11*t**5 - 2/11*t**4 + n*t - 4/11*t**3 - j + 4/11*t**2.
2*(t - 1)**3*(t + 1)**2/11
Let f be ((-3)/(-36))/((-869)/(-41712)). Solve 5/7*a**f - 2/7*a + 0 - 9/7*a**3 - 1/7*a**5 + a**2 = 0 for a.
0, 1, 2
Let r(c) = 7*c**2 + 26*c + 232. Let t(n) = 12*n**2 + 53*n + 460. Let d(j) = -7*r(j) + 4*t(j). Factor d(b).
-(b - 36)*(b + 6)
Suppose 2 = -0*v + v. Suppose 3*y = 15, 0 = -2*f - f + v*y + 5. Determine q so that -32*q**4 + 20*q**3 - 135*q**f - 4*q**3 + 115*q**5 = 0.
-2, 0, 2/5
Let p(m) be the second derivative of m**4/24 + 138*m**3 + 171396*m**2 - 1610*m. Factor p(l).
(l + 828)**2/2
Factor 0 - 1/5*f**2 + 782/5*f.
-f*(f - 782)/5
Let j(y) = -13*y**3 - 378*y**2 + 380*y. Let f(x) = -14*x**3 + x**2 + 2*x. Let c(l) = 5*f(l) - 5*j(l). Factor c(t).
-5*t*(t - 378)*(t - 1)
Let o = 28 - 10. Let i be ((-2)/(-3))/(o/81). Factor 2*z**5 - 4*z**3 + 10*z**4 + 10*z**3 - z**3 + i*z**5.
5*z**3*(z + 1)**2
Suppose -9*m + 348 + 471 = 0. Suppose m*w - 95*w + 8 = 0. Factor 3*v + 4*v**w - 3*v**2 + 0*v**2 - 4*v.
v*(v - 1)
Let x be 760/12*((-33)/(-6) + -4). Let l = x - 80. Let -l*s**2 + s - 3*s**3 - 13 + 40 - 10*s = 0. What is s?
-3, 1
Let z be 76/95 + 11/((-55)/4). Let c(p) be the first derivative of z*p - 1/3*p**3 + 2*p**2 - 22. Factor c(t).
-t*(t - 4)
Factor -1579/9*w**2 - 1577/9 - 3155/9*w - 1/9*w**3.
-(w + 1)**2*(w + 1577)/9
Factor -138 - 52*p + 5*p**3 - 15*p**2 + 219*p**2 - 23*p + 4*p**3.
3*(p - 1)*(p + 23)*(3*p + 2)
Let j = 3 - 32. Let d = j - -29. Factor m**5 - 31*m**3 + 62*m**3 + d*m**4 - 28*m**3 - 3*m**4 - m**2.
m**2*(m - 1)**3
Determine s so that -86/5*s - 32/5*s**4 + 12/5 + 22*s**2 + 176/5*s**3 = 0.
-1, 1/4, 6
Let b(i) be the third derivative of -1/4*i**4 - 1/90*i**5 + 0*i - 20/9*i**3 + 127*i**2 + 0. Let b(a) = 0. Calculate a.
-5, -4
Determine 