15/2 = 0.
-1, 1, 6
Let k(m) be the second derivative of 1/80*m**5 - 19/4*m**2 - 1/24*m**3 - 166*m + 0 + 19/24*m**4. What is p in k(p) = 0?
-38, -1, 1
Let l = 5194 + -77791/15. Let j(g) be the third derivative of l*g**7 - 26/15*g**5 + 0 - 7/10*g**6 + 2/3*g**4 + 0*g - 16*g**2 - 49/6*g**8 + 0*g**3. Factor j(s).
-2*s*(4*s + 1)*(7*s - 2)**3
Let v = 2199 + -2139. Suppose 56*q - 5*f = v*q + 17, 0 = f + 5. Suppose -8/7*o + 10/7 - 2/7*o**q = 0. What is o?
-5, 1
What is s in -8699*s**2 - 1/3*s**4 - 1073296/3 - 321160/3*s - 310/3*s**3 = 0?
-148, -7
Determine k so that -27/5*k**4 - 52/5 + 121/5*k**3 + 177/5*k - 221/5*k**2 + 2/5*k**5 = 0.
1, 4, 13/2
Let d(v) = -15*v - 69. Let a be d(-7). Determine r, given that -23845*r**2 + 23839*r**2 + 3 - 7*r + a*r**3 + 3*r**4 - 18*r**5 - 11*r = 0.
-1, 1/6, 1
Suppose 725 = -4*w - w. Let s = -116 - w. What is t in -5*t**2 - s*t + 10 + 0*t**2 + 17*t + 7*t**2 = 0?
1, 5
Let t(a) be the first derivative of 7 - 1/9*a**3 + 8/3*a**2 + 16*a - 1/24*a**4. Factor t(g).
-(g - 6)*(g + 4)**2/6
Let y(i) = -i**2 - 2*i - 1. Let l(t) = -t**3 - 4*t**2 - t + 2. Let j(h) = -2*l(h) + 2*y(h). Determine b, given that j(b) = 0.
-3, -1, 1
Solve 91*l**2 - 265*l**2 + 91*l**2 - 1276*l - 1280 + 87*l**2 = 0 for l.
-1, 320
Let g = 109 + -17. Find m, given that -8 - 44*m**4 - 231*m**5 - g*m**3 + 454*m**5 - 92*m**2 - 44*m - 231*m**5 = 0.
-2, -1, -1/2
Let r be 1/(-3)*(-1 - 5). Suppose -23 - 100*d - 6*d**3 + 5*d**r + d**3 - 45*d**2 - 57 = 0. What is d?
-4, -2
What is f in -6 + 11/2*f + 1/2*f**2 = 0?
-12, 1
Let g = -4201/696 - -198/29. Let x = -5/8 + g. Factor 0 - 1/2*s**2 + 0*s - x*s**3.
-s**2*(s + 3)/6
Let n(t) be the first derivative of 6*t**5/35 - 363*t**4/14 - 70*t**3 - 369*t**2/7 - 162. Factor n(k).
6*k*(k - 123)*(k + 1)**2/7
Let b(x) be the second derivative of x**4/16 - 343*x**3/2 + 352947*x**2/2 + 118*x - 7. Factor b(s).
3*(s - 686)**2/4
Let q = -14219 + 1706281/120. Let s(h) be the third derivative of 0*h + 0*h**4 + h**2 - q*h**5 + 1/240*h**6 + 0*h**3 + 0. Solve s(i) = 0.
0, 1
Let v(r) be the first derivative of r**6/9 + 2*r**5/5 + r**4/3 - 547. Factor v(o).
2*o**3*(o + 1)*(o + 2)/3
Let l be ((-174)/(-783))/(4 - (-26)/(-9)). Factor 4/5*d**3 + l*d**4 + 3/5*d**2 - 4/5 - 4/5*d.
(d - 1)*(d + 1)*(d + 2)**2/5
Let v(k) be the second derivative of k**6/360 + k**5/60 - 233*k**3/6 + 146*k + 2. Let c(f) be the second derivative of v(f). Suppose c(w) = 0. What is w?
-2, 0
Let q be 4/21*(-459 - -473). Factor -q - 20/3*u - 8/3*u**2.
-4*(u + 2)*(2*u + 1)/3
Let p(s) be the second derivative of 5*s**7/42 + 4*s**6/3 + 3*s**5 - 5*s**4/6 - 65*s**3/6 - 15*s**2 + 1222*s + 2. Factor p(w).
5*(w - 1)*(w + 1)**3*(w + 6)
Factor 14/3*q**4 - 44/3*q + 17*q**3 - 24 + 50/3*q**2 + 1/3*q**5.
(q - 1)*(q + 2)**3*(q + 9)/3
Factor -52*l**2 + 160 - 2*l**3 + 2*l + 111 - 219.
-2*(l - 1)*(l + 1)*(l + 26)
Let z(h) be the first derivative of -2*h**3/9 + 26*h**2/3 - 50*h/3 + 115. Factor z(b).
-2*(b - 25)*(b - 1)/3
Let s be 6/5*(40 - -40). Let f be (-4)/(-3) + s/36. Let 1/2*o**5 + 0*o - 1/4*o**3 + 0 - 1/4*o**f + 0*o**2 = 0. Calculate o.
-1/2, 0, 1
Let y(f) be the first derivative of -102*f - f**3 + 57/2*f**2 - 79. Find c such that y(c) = 0.
2, 17
Let n be (-54)/(-72) - ((-34 - -4)/180)/(4/54). Find q such that -20/9*q**4 - 28/9 - 160/9*q**2 + 2/9*q**5 - 110/9*q - 100/9*q**n = 0.
-1, 14
Let l = -10382 + 41531/4. Let w(a) be the second derivative of l*a**4 - 5*a + 0*a**3 + 1/30*a**6 + 0 + 0*a**2 + 3/10*a**5. Factor w(m).
m**2*(m + 3)**2
Suppose -10*m = 3*b + 15, 335*m - 338*m - 21 = 2*b. Determine k, given that 1/4*k**m + 5/4*k**2 + 1 + 2*k = 0.
-2, -1
Let j = 9 - -3. Let t be (1/(-2))/((-3)/j). Find i such that 9*i - 24 - 4*i**t - 3*i + 14*i = 0.
2, 3
Let l(q) = 4*q**4 + 397*q**3 - 759*q**2 - 1215*q + 7. Let s(x) = -3*x**4 - 396*x**3 + 759*x**2 + 1206*x - 6. Let r(k) = -6*l(k) - 7*s(k). Factor r(b).
-3*b*(b - 128)*(b - 3)*(b + 1)
Let q(p) be the first derivative of 7*p**5/20 - 191*p**4/16 + 101*p**3/3 - 25*p**2/2 - 3162. Solve q(m) = 0.
0, 2/7, 2, 25
Let 717977*g**4 + 44*g - 717982*g**4 + 15*g**3 + 80*g**2 + 16*g = 0. What is g?
-2, -1, 0, 6
Let w = -238 + 226. Let p be 10/w*(-192)/15. Let -2/3*h**2 - 16/3*h - p = 0. Calculate h.
-4
Suppose -3*l + 1716 - 909 = 0. Let c = 274 - l. Find o, given that -4/7*o**4 + 0 + 0*o + 4/7*o**2 + 2*o**3 - 2*o**c = 0.
-1, -2/7, 0, 1
Let l(c) be the first derivative of -130*c + 139 + 125/2*c**2 + 5/3*c**3. Let l(o) = 0. What is o?
-26, 1
Let s be (55/(-20) + 6)*8. Suppose -3*k + s = 5*c, -2*c + k + 4*k = 2. Let 4/5 - 81/5*f**3 - 7*f - 27/5*f**c + 99/5*f**2 = 0. What is f?
-4, 1/3
Let o be (1 + 63/(-60))/((-48)/240). Suppose f + 3*q + 0 = 9, 2*f = -2*q + 6. Factor -o*t**5 + 0*t**3 + f + 1/4*t + 1/2*t**2 - 1/2*t**4.
-t*(t - 1)*(t + 1)**3/4
Let v(r) = 2*r**2 + 10*r - 43. Let w be v(3). Let p = 1489/545 + 51/109. Factor -76/5*u**2 + 56/5*u - p + 2/5*u**w + 10*u**3 - 16/5*u**4.
2*(u - 2)**3*(u - 1)**2/5
Let p be 10 + 32/(-56) + (-36)/(-14). Suppose -p*a + 4*t = -10*a + 16, 0 = -3*a + 3*t - 12. Find v such that 0*v - 1/3*v**2 - 1/3*v**3 + a = 0.
-1, 0
Let w be (6/(-4))/(-3)*294/392. Let k(z) be the third derivative of 3/40*z**5 + w*z**4 + 0*z + 1/160*z**6 + 2*z**2 + 0 + z**3. What is r in k(r) = 0?
-2
Let l(y) be the first derivative of 33*y**5/5 + 123*y**4/4 - 126*y**3 + 6272. Determine u so that l(u) = 0.
-63/11, 0, 2
Let w = 5290 + -47608/9. Factor w*h**2 - 8/3 + 8/9*h.
2*(h - 2)*(h + 6)/9
Let f(x) be the first derivative of x**3/7 + 3*x**2 + 39*x/7 - 1008. Factor f(d).
3*(d + 1)*(d + 13)/7
Let m(w) be the third derivative of -w**6/360 + w**5/45 + 13*w**4/24 + 3*w**3 + w**2 - 175*w - 1. Suppose m(p) = 0. Calculate p.
-3, -2, 9
Let h(x) = 2*x**2 - 3*x - 10. Let v(b) = 33*b**2 - 1161*b + 2046. Let l(a) = 18*h(a) - v(a). Factor l(p).
3*(p - 2)*(p + 371)
Let p be ((0 - 1) + -7)/(16086/(-10341)). Factor 2*r**3 - 8/7 - p*r**2 + 30/7*r.
2*(r - 1)**2*(7*r - 4)/7
Let s(c) = 13*c**3 + 276*c**2 + 2309*c + 2004. Let y(a) = -185*a**3 - 3860*a**2 - 32325*a - 28055. Let u(v) = -85*s(v) - 6*y(v). Factor u(h).
5*(h - 67)*(h + 1)*(h + 6)
Let s be 1035/(-138)*2/(-3). Factor -52*h - s + 13*h + 0 + 16*h + h**2 + 19*h.
(h - 5)*(h + 1)
Let f(o) be the second derivative of -4/3*o**2 - 1/6*o**5 + 4/9*o**3 + 5/18*o**4 - 1/45*o**6 + 1/63*o**7 - 13*o + 1. Let f(u) = 0. Calculate u.
-2, -1, 1, 2
Let l be (-9)/(-63) - (52 + -54)/((-14)/(-34)). Factor -20/11*w**4 - 160/11*w + 2/11*w**l + 50/11*w**3 - 128/11 + 40/11*w**2.
2*(w - 4)**3*(w + 1)**2/11
Let u be (-8295)/(-135) + -30 + -31. Factor -1/9*v**2 - 1/3 - u*v.
-(v + 1)*(v + 3)/9
Let w(g) be the second derivative of -g**5/60 - 19*g**4/6 - 61*g**3/2 - 218*g**2/3 + 6969*g. Factor w(x).
-(x + 1)*(x + 4)*(x + 109)/3
Let i(r) be the first derivative of -7*r**6/9 - 1244*r**5/45 - 5083*r**4/18 - 4724*r**3/9 - 2996*r**2/9 - 784*r/9 - 10860. Let i(w) = 0. Calculate w.
-14, -1, -1/3, -2/7
Suppose 0*z - z - 5 = -2*l, 0 = 3*z + 3*l - 21. Let b be (-196)/(-441) - 28/(-18). Solve 0*i - i**5 + i**z + 1/4*i**4 + 0 - 1/4*i**b = 0 for i.
-1, 0, 1/4, 1
Let v(m) be the first derivative of 140 + 1/8*m**3 - 27/8*m + 3/2*m**2. Factor v(c).
3*(c - 1)*(c + 9)/8
Let 2/3*g**4 - 1312/3*g - 640 - 88*g**2 - 2*g**3 = 0. What is g?
-4, 15
Suppose 19*x - 59 - 17 = 0. Factor -54 - q**x + 64 + 27*q**2 + 37*q + 7*q**3 - 8*q.
-(q - 10)*(q + 1)**3
Let y = 28129 - 28079. Let k(m) be the first derivative of -5/24*m**4 + 5/9*m**3 + 0*m + 0*m**2 - 1/6*m**5 + y. Factor k(h).
-5*h**2*(h - 1)*(h + 2)/6
Suppose -55*t + 79 + 90 = -72 + 21. Determine i so that 3*i**3 - 3/5*i**5 + 0*i + 0*i**2 - 12/5*i**t + 0 = 0.
-5, 0, 1
Let s be 1 + -1 + 8 - 6. Factor 3*g**5 - 5*g**5 + s*g**4 - 2*g**2 - 2*g**3 + 4*g**3.
-2*g**2*(g - 1)**2*(g + 1)
Suppose 2*g - 97 = 3*u - 89, -u - 4*g = -16. Let f(a) be the second derivative of 0*a**2 + 1/40*a**5 + u + 11*a - 1/12*a**4 + 0*a**3. Factor f(k).
k**2*(k - 2)/2
Let o(f) be the first derivative of -5*f**3/3 - 105*f**2/2 + 500*f - 1543. Determine v so that o(v) = 0.
-25, 4
Let y = 1223 - 1215. Let x(w) be the first derivative of 7/24*w**6 + 1/6*w**3 + 11/16*w**4 + 0*w + y + 0*w**2 + 4/5*w**5. Factor x(q).
q**2*(q + 1)**2*(7*q + 2)/4
Let v(q) be the third derivative of -q**5/210 - 689*q**4/21 - 1898884*q**3/21 + 284*q**2 - q. What is o in v(o) = 0?
-1378
Let