 be -1*(-1)/3 + 1. Factor -k*j - 2/3*j**5 - 6*j**a - 10/3*j**4 - 14/3*j**2 + 0.
-2*j*(j + 1)**3*(j + 2)/3
Let l(v) be the third derivative of 11*v**8/112 - 15*v**7/14 + 81*v**6/20 - 5*v**5 - 3*v**4 - 3224*v**2 + 2. Determine x so that l(x) = 0.
-2/11, 0, 2, 3
Let q(p) = 3*p**2 + 99*p + 690. Let i be q(-23). Solve -10/3*n**4 - 2/3*n**5 - 14/3*n**3 + 0 + i*n - 2*n**2 = 0.
-3, -1, 0
Let a = -62311/5 - -12505. Let c = a - 42. Find g such that c*g + 0 + 2/5*g**2 - 2/5*g**3 = 0.
-1, 0, 2
Let w(q) be the third derivative of q**8/112 + 17*q**7/35 + 61*q**6/20 + 14*q**5/5 - 123*q**4/8 - 45*q**3 - 54*q**2. Determine x, given that w(x) = 0.
-30, -3, -1, 1
Let j(m) be the first derivative of 4*m**5/5 + 112*m**4 + 880*m**3/3 + 3027. Factor j(b).
4*b**2*(b + 2)*(b + 110)
Let a be 8*(-2)/60*-15. Let i(l) be the second derivative of 7*l + 1/12*l**a + 0*l**2 - 1/60*l**5 + 0 - 1/9*l**3. What is z in i(z) = 0?
0, 1, 2
Suppose 58093*w - 58090*w - 15 = 0. Let u(x) be the first derivative of 6/7*x**3 - 15/7*x**2 + 2*x + w - 1/14*x**4. Factor u(p).
-2*(p - 7)*(p - 1)**2/7
Determine k, given that 1/2*k**2 + 15/4*k - 19/4*k**3 - 3/2*k**4 + 0 = 0.
-3, -1, 0, 5/6
Let a(m) be the first derivative of -455/9*m**3 + 242 + 1/4*m**4 + 93/5*m**5 - 9/2*m**6 - 49/3*m**2 + 0*m. Determine j, given that a(j) = 0.
-1, -2/9, 0, 7/3
Let d = 304099 + -304095. What is g in -11/4*g**3 - 1/2 + 3/4*g**d - 1/4*g + 11/4*g**2 = 0?
-1/3, 1, 2
Let a(z) = 2 + 105*z + 3 - 104*z. Let l be a(-1). Factor 33*d - l + 1 + 22*d - 7 - 25*d**2.
-5*(d - 2)*(5*d - 1)
Suppose 13*z - 40 = -43*z + 72. Let j(k) be the second derivative of -z*k**2 - 1/42*k**7 + 0 + 19*k + 1/6*k**6 + 4/3*k**3 - 7/20*k**5 - 1/12*k**4. Factor j(y).
-(y - 2)**2*(y - 1)**2*(y + 1)
Determine c so that -28/3*c**3 + 28/3*c - 12*c**2 + 40/3 - 4/3*c**4 = 0.
-5, -2, -1, 1
Let l(b) be the first derivative of b**6/39 + 4*b**5/65 - 7*b**4/26 + 8*b**3/39 - 973. What is s in l(s) = 0?
-4, 0, 1
Suppose -4*r - 5*g + 10 = 0, 13*g + 4 = -2*r + 15*g. Suppose r = 3*a - 5*a + 4. Factor -10/7*h + 8/7*h**a + 2/7.
2*(h - 1)*(4*h - 1)/7
Let i(j) be the second derivative of 5*j**7/21 + 2*j**6/5 - 7*j**5/5 - 4*j**4/3 + 3*j**3 + 2*j**2 - 830*j. Suppose i(d) = 0. Calculate d.
-2, -1, -1/5, 1
Find v such that 166/9*v - 2/9*v**2 + 0 = 0.
0, 83
Factor 136 - 9*p**2 + 13*p**2 + 172479*p - 172555*p.
4*(p - 17)*(p - 2)
Let k be (1 - 96/15)/(-1178 - -1174 - (2 + -3)). Let -6/5 - 3*v - k*v**2 = 0. Calculate v.
-1, -2/3
Suppose 2*o - 134 = 4*z, 2*z - 5*z - 96 = -3*o. Let a be (-69)/z - 42/(-70). Factor 0 - 2/7*y**4 + 0*y + 12/7*y**3 - a*y**2.
-2*y**2*(y - 3)**2/7
Let t = -1736/3 - -580. Let g(x) be the first derivative of -1/12*x**6 + 7/4*x**2 - 16 + 1/5*x**5 + 1/4*x**4 - x - t*x**3. Factor g(b).
-(b - 1)**4*(b + 2)/2
Let y(i) be the first derivative of -77 - 50*i + 68/3*i**3 + 155/2*i**2 + 7/4*i**4. Let y(f) = 0. What is f?
-5, 2/7
Let g be 18*(14 + 1463/(-105)). Let j(k) be the first derivative of 2/3*k**3 - 1/3*k**6 - 3/2*k**4 - 14 + 0*k**2 + 0*k + g*k**5. Factor j(z).
-2*z**2*(z - 1)**3
Let n = 367 - 373. Let t be (-9)/n + (-742)/532. Let -4/19*u**3 + 8/19 + 8/19*u - 6/19*u**2 + t*u**4 = 0. What is u?
-1, 2
Let b(m) = -m**2 + 30*m + 67. Let k be b(33). Let z(i) = i**3 + 34*i**2 + 62*i - 64. Let t be z(k). Find c such that 0*c**2 + 0*c - 1/7*c**3 + t = 0.
0
Suppose 4622*x = 4621*x - 4. Let k be (-6)/x - 385/(-110). What is j in 2/5*j**4 + 4/5*j - 3/5*j**3 + 1/5*j**k - 4/5*j**2 + 0 = 0?
-2, 0, 1
Let n be ((-8)/18)/(-1) - (-86135)/33705. What is j in 0 - j**4 + 7/2*j**5 + 0*j + 0*j**n + 0*j**2 = 0?
0, 2/7
What is p in 109/4*p**3 - p**4 - 31 + 453/4*p**2 + 94*p = 0?
-2, 1/4, 31
Let o(y) = y**2 + 7*y - 12. Let c be o(2). Let t be 8/c*(-2)/(-5 - 3). What is q in t*q**3 - q**2 + 0 + 2/3*q = 0?
0, 1, 2
Let i(j) be the second derivative of j**6/210 + j**5/14 + 4*j**4/21 + 1019*j - 2. Factor i(z).
z**2*(z + 2)*(z + 8)/7
Determine m, given that 22 - 61/4*m**3 - 1/4*m**5 + 13*m - 4*m**4 - 31/2*m**2 = 0.
-11, -2, 1
Suppose -4*b + 180 = 6*q - 8*q, -86 = -2*b + 2*q. Let v = 51 - b. What is j in -7/10*j**3 + 1/10*j**v - 2*j + 4/5 + 9/5*j**2 = 0?
1, 2
Let c(i) = 5*i. Let p be c(1). Factor p*b + 5 - 17 - 14*b**2 - 49*b + 6.
-2*(b + 3)*(7*b + 1)
Let m = -169 - -169. Let k(s) be the third derivative of 0*s + 1/3*s**4 + 16*s**2 + m - 1/15*s**5 + 0*s**3. Factor k(z).
-4*z*(z - 2)
Solve -6 - 1/2*w**2 + 4*w = 0 for w.
2, 6
Let u = 4539 - 4537. Let l(b) be the first derivative of -3/2*b**u + 3/4*b**4 - b**3 - 9 + 3*b. Determine m, given that l(m) = 0.
-1, 1
Let m be (-8 - -10 - -24)/(6/357). Factor -61*a - 18*a - 1365*a**2 - 4193*a**3 + 12 + m*a**3 - 53*a.
-3*(7*a + 2)**2*(18*a - 1)
Let i = -87 + 89. Let q(y) = y**5 - y**4 - y**3. Let c(a) = 5*a**5 + a**4 - 11*a**3 - 3*a**2 + 6*a. Let t(u) = i*q(u) - c(u). Determine g, given that t(g) = 0.
-2, -1, 0, 1
Suppose 3*r - u = 10, -r = 3*r - 5*u - 6. Factor -265*i**2 + 81*i**2 - 4*i**r - 21*i**4 - 36*i - 245*i**3.
-i*(i + 9)*(5*i + 2)**2
Let p(y) be the first derivative of y**3/8 - 21*y**2/16 - 3*y + 2518. Determine m so that p(m) = 0.
-1, 8
Factor 2/11*m**2 + 104/11*m + 200/11.
2*(m + 2)*(m + 50)/11
Let m(n) be the first derivative of n**3/7 - 36*n**2/7 + 240*n/7 - 1166. Suppose m(w) = 0. Calculate w.
4, 20
Factor 70/3*o**2 - 98/3*o + 2/3*o**4 + 26/3*o**3 + 0.
2*o*(o - 1)*(o + 7)**2/3
Let m = 273701/182470 + 2/91235. Factor -3*i**2 - 15/2*i + 9 + m*i**3.
3*(i - 3)*(i - 1)*(i + 2)/2
Let k = -19177 - -77171/4. Let h = 117 - k. Factor 5/2 - h*x**2 - 5/4*x.
-5*(x - 1)*(x + 2)/4
Solve 105/4*i - 53/2 + 1/4*i**2 = 0 for i.
-106, 1
Let w(x) be the third derivative of 0 + 0*x + 1/12*x**4 - 73*x**2 + 1/180*x**5 - 7/18*x**3. Factor w(z).
(z - 1)*(z + 7)/3
Let m be 60/(-600)*1471/(-2). Let b = 369/5 - m. Let -3/4 - 1/4*f + b*f**3 + 3/4*f**2 = 0. What is f?
-3, -1, 1
Let g(l) be the second derivative of -5*l**7/21 + 15*l**6/2 + 20*l**5 - 325*l**4/4 + 60*l**3 - 2218*l. Determine v so that g(v) = 0.
-3, 0, 1/2, 1, 24
Let w(o) = -107*o**4 + 590*o**3 - 920*o**2 + 294*o. Let b(i) = -54*i**4 + 295*i**3 - 460*i**2 + 148*i. Let n(z) = -7*b(z) + 4*w(z). Let n(v) = 0. Calculate v.
0, 2/5, 2, 7/2
Let h(g) = -21*g**3 + 267*g**2 + 1068*g - 1332. Let k(x) = -22*x**3 + 271*x**2 + 1068*x - 1336. Let y(v) = 19*h(v) - 18*k(v). Solve y(a) = 0.
-6, 1, 70
Let z(o) be the second derivative of -o**4/15 + 864*o**3/5 - 839808*o**2/5 + 92*o - 16. Factor z(m).
-4*(m - 648)**2/5
Let w = -12679 - -12679. Let p = 107 + -1175/11. Factor 0*r + w*r**2 + 2/11*r**4 + 0 - p*r**5 + 0*r**3.
-2*r**4*(r - 1)/11
Let m(h) be the second derivative of 154*h - 43/27*h**3 + 5/54*h**4 + 8/3*h**2 + 0. Factor m(i).
2*(i - 8)*(5*i - 3)/9
Let b(d) be the second derivative of d**6/50 + 3*d**5/20 - 3*d**4/5 - 18*d**3/5 - 20*d - 1. Factor b(a).
3*a*(a - 3)*(a + 2)*(a + 6)/5
Factor -39*t**2 + 57*t**2 - 492*t + 53*t**2 - 75*t**2 + 1512.
-4*(t - 3)*(t + 126)
Let 216*g**3 - 1330*g**4 + 0 + 15*g**5 + 576*g**2 + 1326*g**4 - 19*g**5 + 0 = 0. Calculate g.
-6, -3, 0, 8
Let o be (-80)/(-420)*((-4134)/8 + 2). Let y = 295/3 + o. Factor 4/7 + y*t - 2/7*t**2.
-2*(t - 2)*(t + 1)/7
Let m(z) be the first derivative of 2*z**5/25 - z**4/10 - 82*z**3/15 - 111*z**2/5 - 144*z/5 - 1557. Factor m(y).
2*(y - 8)*(y + 1)*(y + 3)**2/5
Let w(v) = -16867*v**4 - 21002*v**3 - 9002*v**2 - 1436*v - 50. Let i(s) = 4*s**4 - s**3 - s**2 + 2*s - 1. Let r(d) = -2*i(d) + w(d). Solve r(b) = 0.
-2/5, -2/45
Let b(t) be the first derivative of -12*t**2 + 2/5*t**5 + 8*t + 54 - 3*t**4 + 26/3*t**3. Let b(z) = 0. What is z?
1, 2
Let w(g) be the first derivative of -5/7*g**3 - 3/7*g**4 - 3/35*g**5 - 3/7*g**2 + 0*g + 46. Factor w(x).
-3*x*(x + 1)**2*(x + 2)/7
Let c = 6950 + -27799/4. Let v(g) be the first derivative of -16 + 2/3*g + 23/9*g**3 - 3/5*g**5 - 13/6*g**2 - c*g**4. Determine t, given that v(t) = 0.
-2, 1/3, 1
Solve 1720/7*x - 50/7 - 14792/7*x**2 = 0.
5/86
Suppose 224 = 15*c - 11*c. Factor -25*i**2 + i**4 + c*i - 11*i - 10*i**3 + 4*i**4 - 15*i.
5*i*(i - 3)*(i - 1)*(i + 2)
Let u(j) be the third derivative of j**5/210 - 5*j**4/14 - 136*j**3/21 + 830*j**2. What is p in u(p) = 0?
-4, 34
Let b(o) be the second derivative of o**7/315 + 23*o**6/225 + 64*o**5/75 + 134*o**4/45 + 64*o**3/15 + 32*o + 8. Determine n, given that b(n) = 0.
-16, -3, -2, 0
Suppo