n 42 - 33/2*q + 3/2*q**2 = 0?
4, 7
Let b(r) be the first derivative of -11 - r - 19/4*r**3 - 9/2*r**2 + 7/8*r**4. Let u(c) be the first derivative of b(c). Solve u(x) = 0 for x.
-2/7, 3
Let s(d) be the first derivative of 67 + 0*d + 100/3*d**3 + 4*d**2. Factor s(j).
4*j*(25*j + 2)
Let l be ((-468)/(-15))/((-306)/(-510)). Factor l*s - 30*s**2 + 7*s**3 - 1/2*s**4 - 32.
-(s - 8)*(s - 2)**3/2
Let x(f) be the first derivative of -9*f**5 - 19965*f - 45*f**4 - 770*f**3 - 6050*f**2 - 2 - 2 - 3 + 5 + 8*f**5. Suppose x(o) = 0. Calculate o.
-11, -3
Factor -71190*s + 754/3*s**2 - 2/9*s**3 + 638450/9.
-2*(s - 565)**2*(s - 1)/9
Determine g, given that -80*g - 10/9*g**4 + 0 + 76/9*g**3 - 2/9*g**5 + 88/3*g**2 = 0.
-6, 0, 2, 5
Let n = 12047/68 - 2999/17. Let 3/4*c**2 + 0*c - n = 0. What is c?
-1, 1
Factor -136*m**3 - 405*m**2 - 404*m - 1/2*m**4 - 269/2.
-(m + 1)**3*(m + 269)/2
Let d(t) be the third derivative of t**7/42 + 113*t**6/12 + 4103*t**5/4 - 64975*t**4/6 + 132250*t**3/3 + 1794*t**2. Factor d(y).
5*(y - 2)**2*(y + 115)**2
Let m(o) be the first derivative of -18*o**5/55 + 303*o**4/11 - 21194*o**3/33 + 1212*o**2 - 792*o + 3774. Find y such that m(y) = 0.
2/3, 33
Suppose 0 = 2*y - 2*j + 8, 18*y - 4*j = -16. Factor y + 1/3*l**3 - 4/3*l**2 + l.
l*(l - 3)*(l - 1)/3
Let n(q) = 3*q**5 + q**3 - q**2 - 2*q. Let c(w) = 22*w**5 + 43*w**4 + 130*w**3 + 114*w**2 + 26*w. Let j(s) = 5*c(s) - 35*n(s). Determine g so that j(g) = 0.
-40, -1, 0
Suppose -14*d = -3*j + 12 - 50, 5*d + j = -3. Factor d + 11/10*n + 1/10*n**2.
(n + 1)*(n + 10)/10
Let p(o) be the second derivative of -14*o - 9/4*o**4 - 5/2*o**3 + 6*o**2 + 0. Suppose p(d) = 0. What is d?
-1, 4/9
Suppose u + 20 = 19. Let l(z) = 1. Let q(d) = -3*d**3 - 153*d**2 - 1872*d + 2019. Let n(w) = u*q(w) - 9*l(w). Factor n(y).
3*(y - 1)*(y + 26)**2
Let p(c) = -c + 0 + c**3 - 8*c + 6*c**2 + 0*c - 5. Let a be p(-7). Factor 22*r**2 + 25*r**2 - 46*r**2 + a + 6*r.
(r + 3)**2
Factor -69/7*p**2 + 3 + 9/7*p**3 + 39/7*p.
3*(p - 7)*(p - 1)*(3*p + 1)/7
Suppose -33250*g**3 - 3215625*g + 22*g**4 + 4671706*g**2 - 697*g**4 - 5*g**5 - 5345456*g**2 + 37515625 = 0. Calculate g.
-35, 5
Let f be (-12)/2 - 2001/(-69). Suppose 12*x - f + 23 = 0. Find j, given that -j**4 + 0*j**2 + 0 - 1/2*j**3 - 1/2*j**5 + x*j = 0.
-1, 0
Let r(i) be the first derivative of 5*i**7/42 + i**6 + 3*i**5 + 10*i**4/3 + 49*i + 50. Let l(m) be the first derivative of r(m). Factor l(f).
5*f**2*(f + 2)**3
Factor 0 - 1/8*h**3 + 291/8*h + 47/4*h**2.
-h*(h - 97)*(h + 3)/8
Factor 1/5*j**2 + 515524/5 + 1436/5*j.
(j + 718)**2/5
Let k(u) be the second derivative of u**6/60 + 19*u**5/40 - 65*u**4/2 - 10409*u. Suppose k(q) = 0. What is q?
-39, 0, 20
Let n = 734 + -696. Determine v, given that n*v**3 + v**3 + 18723*v - 36*v**3 - 474*v**2 = 0.
0, 79
Let x(h) = -h**2 - h + 39. Let k be x(4). Find v, given that -27*v + 27*v**3 + 1 - 3 + 21*v**2 - k*v**2 = 0.
-1, -2/27, 1
Suppose 3*t + 7 = 22. Let k be 2 + (-3 - t)*-1. Find s such that -26*s + 12*s - s**2 + k*s = 0.
-4, 0
Let n(b) be the first derivative of 0*b**2 - 5/2*b**3 - 23 - 21*b + 5/12*b**4. Let d(u) be the first derivative of n(u). What is p in d(p) = 0?
0, 3
Let s(y) = y**4 + y + 1. Let o be ((-18)/4)/(-3)*46. Let m = o + -74. Let i(d) = 2*d**4 - d**3 + d + 1. Let f(b) = m*s(b) + 5*i(b). Solve f(u) = 0 for u.
0, 1
Factor 858 + 5511*u + 7*u**3 - 3746 - 3*u**3 + 144*u**2 - 4371*u.
4*(u - 2)*(u + 19)**2
Let a(g) = g**3 - 8*g**2 + 12*g + 6. Let j be a(6). Suppose -8*f + 10 = -j. Factor 8 + 587*p**f - 2*p + 2*p**3 + 0*p - 595*p**2.
2*(p - 4)*(p - 1)*(p + 1)
Let d(x) be the second derivative of -x**7/1960 + x**6/420 - x**5/280 - 65*x**3/6 - 70*x. Let h(o) be the second derivative of d(o). Factor h(s).
-3*s*(s - 1)**2/7
Let l(s) = 3480*s - 31318. Let f be l(9). Let -1/8*c**3 + 7/8 + 9/8*c**f - 15/8*c = 0. What is c?
1, 7
Let b = 309105 - 927281/3. Solve 0 - 83/3*z**2 + 5/3*z**3 - b*z = 0.
-2/5, 0, 17
Let i(g) be the third derivative of g**6/10 - 361*g**5/20 + 4095*g**4/4 - 2025*g**3/2 + 979*g**2. Factor i(q).
3*(q - 45)**2*(4*q - 1)
Let c(k) be the third derivative of 0*k**3 + 48*k**2 - 1/108*k**6 + 0*k**5 + 0 + 0*k**4 + 0*k - 1/945*k**7. Suppose c(j) = 0. Calculate j.
-5, 0
Let h(o) = o + 14. Let u(z) = -z - 13. Let i(k) = -3*h(k) - 4*u(k). Let j be i(-8). Factor 8*q + 9*q**2 - 10 + q**2 - 8*q**j.
2*(q - 1)*(q + 5)
Solve 3/5*l**2 + 144/5 - 42/5*l = 0.
6, 8
Determine t so that 28/9*t**2 + 2/3*t**3 + 14/9*t - 8/9 = 0.
-4, -1, 1/3
Let i be (2/3)/(10/75). Suppose -z - 2 + 13 = 4*p, 0 = -2*z - 4*p + 14. Find u such that 20*u**i + 25*u**4 + u**3 - 9*u**z + 13*u**3 = 0.
-1, -1/4, 0
Let j(p) = -p + 2. Let z be 0 + -2 - 45/(-15). Let l(i) = 10*i**2 - 7*i - 11. Let v(q) = z*l(q) - 2*j(q). Let v(u) = 0. Calculate u.
-1, 3/2
Let v(z) be the second derivative of z**4/20 + 639*z**3/5 - 5289*z + 2. Factor v(k).
3*k*(k + 1278)/5
Determine b, given that -4/9*b**3 - 224/3*b - 64 - 100/9*b**2 = 0.
-12, -1
Suppose -5*k + j = -28, 6*k - 11 = 2*k - 3*j. Suppose -39*n**5 + 20 + 6*n**3 - 40*n + 19*n**3 + k*n**2 + 34*n**5 - 5*n**4 = 0. What is n?
-2, 1
Let b(h) be the third derivative of h**5/75 - 93*h**4/20 + 138*h**3/5 - 25*h**2 - 43*h. Factor b(w).
2*(w - 138)*(2*w - 3)/5
Suppose p - 32 = -4*q, 3*q - 22 - 2 = -3*p. Suppose 0 = 3*v - 9, 2*a + q*v = 4*v + 12. Factor a*w**4 + 0*w**4 - 10*w**3 - 5*w**4.
-5*w**3*(w + 2)
Suppose 2*n - 3*i + 9 = 0, 28 = -4*n + i - 5*i. Let g be (-19)/((-1368)/(-32))*18/n. Solve 13/3*d**2 + 11/3*d**3 - 20/3*d - g = 0.
-2, -2/11, 1
Suppose -5*y - c = -3, 0 = -2*y - 13*c + 10*c + 9. Let z(k) be the first derivative of y*k**2 - 2/15*k**3 + 0*k + 3/20*k**4 + 6. Find d, given that z(d) = 0.
0, 2/3
Let h(d) be the first derivative of 0*d + 15/4*d**2 - 267 - 1/2*d**3 - 15/8*d**4 + 3/10*d**5. Factor h(y).
3*y*(y - 5)*(y - 1)*(y + 1)/2
Let j be 525/150*28/833. Let 0 + j*o**2 + 14/17*o = 0. What is o?
-7, 0
Factor -175/3 + 169/6*r**2 + r**3 - 187/6*r.
(r - 2)*(r + 1)*(6*r + 175)/6
Let a = 79894 - 399466/5. Factor 6/5*f + 2/5*f**4 + 2/5*f**2 - 6/5*f**3 - a.
2*(f - 2)*(f - 1)**2*(f + 1)/5
Let n be (-2)/(-4) + 9 + (-152)/16. Let m(c) be the third derivative of n + 1/36*c**4 - 9*c**2 + 0*c + 0*c**3 + 1/12*c**5 + 13/360*c**6. Solve m(t) = 0 for t.
-1, -2/13, 0
Let v = 29 - 29. Determine h so that v - 610*h**5 + 0 - 21*h**4 + 613*h**5 + 36*h**3 = 0.
0, 3, 4
Let u(o) = -10*o**4 - 6*o**3 + 14*o**2 - 5*o. Let q(t) = 3*t**4 + 2*t**3 - 5*t**2 + 2*t. Let d(x) = -7*q(x) - 2*u(x). What is s in d(s) = 0?
-4, 0, 1
Let s be 3*3 - (-270)/162*36/(-10). Let n(y) be the first derivative of 6*y**2 - 25 - 24*y + 7/2*y**s + 3/8*y**4. Factor n(g).
3*(g - 1)*(g + 4)**2/2
Let u(v) be the second derivative of 0*v**2 - 8/3*v**6 + 9/5*v**5 + 26/3*v**4 + 16/3*v**3 - 5 - 23*v + 8/21*v**7. Let u(j) = 0. What is j?
-1/2, 0, 2, 4
Let z(l) be the first derivative of 0*l**2 + 0*l**5 + 31 + 23/3*l**3 + 1/120*l**6 - 1/8*l**4 + 0*l. Let v(b) be the third derivative of z(b). Factor v(g).
3*(g - 1)*(g + 1)
Let v(g) = 14*g - 191. Let p be v(19). Let c be 0*(p/20)/15. Let 11/3*x**3 + c - 1/3*x**4 + 25/3*x - 35/3*x**2 = 0. What is x?
0, 1, 5
Let k be (80/(-18))/(11 - 25 - 2128/(-171)). Factor 2/7*y**2 + 2*y + k.
2*(y + 2)*(y + 5)/7
Suppose 0 = 4*z - 9*x - 96, 83*z + 4*x = 88*z - 120. Factor -4/3*o**2 + 76/3 - z*o.
-4*(o - 1)*(o + 19)/3
Let b(u) be the second derivative of u**6/210 + 3*u**5/70 - 7*u**4/12 + 11*u**3/7 - 4168*u - 2. Determine r so that b(r) = 0.
-11, 0, 2, 3
Solve -4*k**2 + 0 - 8*k**3 - 4/3*k**4 + 40/3*k = 0 for k.
-5, -2, 0, 1
Suppose -412*p + 2072 = 106*p. What is d in p - 5/6*d**4 - 41/3*d**2 + 10/3*d + 43/6*d**3 = 0?
-2/5, 1, 2, 6
Find a such that 20/3*a + 0 + 4/3*a**4 + 166/9*a**3 - 206/9*a**2 = 0.
-15, 0, 1/2, 2/3
Let k be (4 - 2)*5/2. Suppose 1 = 3*l - k. Factor -d**2 + 12*d**l - 5 - 11*d + 1 + 31*d.
(d + 2)*(11*d - 2)
Suppose 113 = 90*r - 157. Suppose -28 = -3*m - 0*j - 2*j, 27 = 2*m + 3*j. Factor 2/5*u**5 + 14/5*u**4 + 0*u + m*u**r + 0 + 18/5*u**2.
2*u**2*(u + 1)*(u + 3)**2/5
Let o(s) be the first derivative of s**5/15 + s**4/6 - 4*s**3 - 17*s**2/2 - s + 46. Let v(h) be the second derivative of o(h). Suppose v(r) = 0. Calculate r.
-3, 2
Let k(z) = -z**2 - z. Let v(h) = 3*h**3 - 59*h**2 + 46*h + 108. Let u(w) = -2*k(w) + v(w). Factor u(c).
3*(c - 18)*(c - 2)