- 29 = 0, n*i - i = -2*l - 16. Factor 3*c**2 - l*c**2 + 8*c + c**2.
2*c*(c + 4)
Let k be ((12 + -4)/(-32))/(24/(-216)). Let 3*i - k - 3/4*i**2 = 0. Calculate i.
1, 3
Let c(v) be the third derivative of -65/144*v**4 - 5/6*v**3 + 0 + 0*v - 53*v**2 + 2/9*v**5 + 1/48*v**6. Factor c(p).
5*(p - 1)*(p + 6)*(3*p + 1)/6
Let r(h) be the third derivative of h**5/15 - 81*h**4/8 - 155*h**3/3 - h**2 + 3854*h. Let r(i) = 0. What is i?
-5/4, 62
Suppose 367*g - 28 = -28. Let a(q) be the third derivative of 13*q**2 + 0*q - 1/735*q**7 + 0 - 2/105*q**5 + g*q**4 + 0*q**3 - 1/105*q**6. Factor a(t).
-2*t**2*(t + 2)**2/7
Let x(f) be the first derivative of -f**5 + 5*f**4 + 50*f**3/3 - 70*f**2 + 75*f + 1527. Determine c, given that x(c) = 0.
-3, 1, 5
Let w(y) be the first derivative of 27/4*y + 73 + 3/32*y**4 - 9/16*y**2 - 1/2*y**3. Factor w(c).
3*(c - 3)**2*(c + 2)/8
Let s(b) = 15*b + 96. Let n be s(19). Let w = n + -1523/4. Factor w*x**2 + 1/4 - 1/2*x.
(x - 1)**2/4
Let a(h) be the second derivative of h**6/60 - h**5/8 + h**4/6 + h - 13. Suppose a(q) = 0. Calculate q.
0, 1, 4
Let f(w) be the third derivative of w**5/15 - 154*w**4/3 + 47432*w**3/3 + 1837*w**2. Determine a, given that f(a) = 0.
154
Let m(x) be the first derivative of x**6/6 + 21*x**5/5 + 57*x**4/2 - 20*x**3/3 - 300*x**2 + 1082. Suppose m(y) = 0. What is y?
-10, -3, 0, 2
Let f(r) be the first derivative of 15*r**6/7 + 123*r**5/5 + 585*r**4/14 + 107*r**3/7 - 9*r**2 - 48*r/7 - 4277. Let f(b) = 0. What is b?
-8, -1, -1/2, -2/5, 1/3
Suppose -f - 70*x + 75*x = -55, 3*x + 33 = 5*f. Suppose -1/5*v**3 + f - 3/5*v + 4/5*v**2 = 0. Calculate v.
0, 1, 3
Let g(d) be the third derivative of -d**7/15120 - d**6/54 - 20*d**5/9 - d**4/6 + 2*d**3 - 208*d**2. Let t(u) be the second derivative of g(u). Factor t(h).
-(h + 40)**2/6
Let t(r) be the second derivative of r**5/180 + 17*r**4/108 + 40*r**3/27 + 32*r**2/9 - 1596*r. Determine k so that t(k) = 0.
-8, -1
Let j(u) be the third derivative of 0 + 0*u - 47/60*u**5 - 37/210*u**7 + 5/336*u**8 - 73*u**2 + 23/40*u**6 + 0*u**3 + 5/12*u**4. Factor j(w).
w*(w - 5)*(w - 1)**2*(5*w - 2)
Let x = 499 + -497. What is i in 1740*i**3 + 1732*i**3 - 2*i - 10*i + 16*i**x - 3476*i**3 = 0?
0, 1, 3
Factor 0 - 240/7*m - 2/7*m**2.
-2*m*(m + 120)/7
Let o(x) be the second derivative of x**7/84 - 57*x**5/20 + 83*x**4/6 - 109*x**3/4 + 27*x**2 - 2*x + 1116. Let o(r) = 0. What is r?
-12, 1, 9
Let v(s) be the third derivative of s**8/336 - 2*s**7/35 + 3*s**6/40 + 11*s**5/30 - 745*s**2. Determine u so that v(u) = 0.
-1, 0, 2, 11
Let y(x) be the third derivative of 53824*x**5/25 - 116*x**4/5 + x**3/10 - 1574*x**2. Factor y(l).
3*(464*l - 1)**2/5
Let v(z) = 8*z - 29. Let u be v(8). Let q = u + -31. Factor 4 - 5 - 6 - 2*h**2 - q*h + 5.
-2*(h + 1)**2
Let j(h) be the second derivative of -h**4/42 + 13*h**3/21 - 6*h**2 + 46*h - 2. Factor j(p).
-2*(p - 7)*(p - 6)/7
Let h(x) be the third derivative of -x**5/80 + 45*x**4/32 + 18*x**3 - 1261*x**2. Factor h(c).
-3*(c - 48)*(c + 3)/4
Factor 2644/5*x**3 - 530 - 7944/5*x**2 + 7948/5*x + 2/5*x**4.
2*(x - 1)**3*(x + 1325)/5
Suppose -4*t + 33 = 117. Let u be 3 + -2 + (-7)/(t/12). Factor o + 3*o**u + 4*o**2 - 4*o**4 - 3*o - o**5 + 0*o**2.
2*o*(o - 1)**3*(o + 1)
Let r = 88 + -84. Factor 86*b**3 - 6*b**2 - 95*b**3 - b**5 + r*b**5.
3*b**2*(b - 2)*(b + 1)**2
Suppose 2*x + 40 - 372 = 0. Let w = 166 - x. Factor 4/3*y**2 + 0 + w*y + 4/3*y**3 + 1/3*y**4.
y**2*(y + 2)**2/3
Let f be -10 + (-17)/((-391)/299). Let x(k) be the second derivative of 12*k**2 + 8/3*k**f - 1/10*k**5 - 1/6*k**4 - 11*k + 0. Solve x(r) = 0.
-2, 3
Let y be 20/(-12)*(-9 - -6). Factor -8*w**5 + 717*w**4 - 12*w**3 - 753*w**4 - 7*w**y.
-3*w**3*(w + 2)*(5*w + 2)
Let v(y) be the first derivative of y**7/105 + y**6/60 - 49*y**2/2 - 124. Let p(a) be the second derivative of v(a). Factor p(n).
2*n**3*(n + 1)
Let t(y) = y**4 - 30*y**3 - 149*y**2 + 184*y + 4. Let q(l) = 3*l**4 - 89*l**3 - 447*l**2 + 554*l + 14. Let d(u) = 4*q(u) - 14*t(u). Find k, given that d(k) = 0.
-5, 0, 1, 36
Let m = 220 - 220. Factor -3*j - 4*j + m*j + 186 - j**3 - 189 - 5*j**2.
-(j + 1)**2*(j + 3)
Let f(z) = z**3 + 25*z**2 - 34*z + 56. Let y be f(-27). Let r be y/(-68) - 2 - (12 - 7). Suppose -2/17*k + 4/17*k**2 - 4/17 + r*k**3 = 0. What is k?
-2, -1, 1
Suppose 3*k = h - 3, -2*h + 2618*k = 2615*k - 3. Solve 0*m**3 + h + 1/3*m**5 - 1/6*m**2 + 0*m + 1/2*m**4 = 0 for m.
-1, 0, 1/2
Let a be 1*1/(1/32). Let y = 34 - a. Factor 4/5*c**y - 16/5*c + 16/5.
4*(c - 2)**2/5
Let s(i) be the first derivative of -i**4/16 - 165*i**3/4 - 81675*i**2/8 - 4492125*i/4 + 126. Find t, given that s(t) = 0.
-165
Let g(j) = -4*j**3 - 6*j**2 + 2. Let u be (-10 - 4) + 4 - -12. Let q(v) = -9 + 20*v**3 - 7 + 31*v**2 + 5. Let i(k) = u*q(k) + 11*g(k). Factor i(b).
-4*b**2*(b + 1)
Let b be (-105040)/(-52) - ((-6)/7 + 300/(-42)). Let 35152 + b*c + 1/4*c**3 + 39*c**2 = 0. What is c?
-52
Let l(k) be the second derivative of -1/6*k**3 - 16 - 1/12*k**4 + 0*k**2 + 2*k. Solve l(r) = 0.
-1, 0
Let b(p) be the third derivative of 51005*p**5/54 + 505*p**4/54 + p**3/27 + 1295*p**2 - 2. Factor b(n).
2*(505*n + 1)**2/9
Let n be 2 - 4/4 - (-7 + -3). Suppose 8*l - 5 = n. Factor -w**2 + 12*w - 107 - 3*w**l + 99.
-4*(w - 2)*(w - 1)
Let f(j) be the second derivative of -7*j**5/40 - 145*j**4/24 - 649*j**3/12 + 1089*j**2/4 - 4*j + 6. Find n such that f(n) = 0.
-11, 9/7
Suppose -1228 = 18*a - 1264. Factor -1/3*r**a + 11/3*r - 6.
-(r - 9)*(r - 2)/3
Let r(g) be the third derivative of 8*g**7/1575 + g**6/60 - g**5/45 - g**4/12 + 2*g**3/45 - 1289*g**2. Determine a, given that r(a) = 0.
-2, -1, 1/8, 1
Suppose -230*h**2 - 5*h**4 - 15713*h**3 + 10*h**4 + 15728*h**3 - 765*h - 75*h = 0. Calculate h.
-6, -4, 0, 7
Let v(r) = -44*r**3 + 4478*r**2 + 1730*r - 858. Let q(y) = -45*y**3 + 4478*y**2 + 1735*y - 859. Let d(j) = 2*q(j) - 3*v(j). Find l, given that d(l) = 0.
-2/3, 2/7, 107
Let s be -4700 + 4693 - ((-237)/11)/3. Let z = -22 - -25. Factor -4/11*f**2 + 2/11*f**4 + 2/11 - s*f**5 + 4/11*f**z - 2/11*f.
-2*(f - 1)**3*(f + 1)**2/11
Let d = 63 + -55. Solve 8*u - 5*u**2 - u - 22 - d + 18*u = 0 for u.
2, 3
Let a = -7422 + 7426. Let b(h) be the second derivative of 14*h + 1/10*h**5 + 5/11*h**3 + 0 - 4/11*h**a - 2/11*h**2. Factor b(p).
2*(p - 1)**2*(11*p - 2)/11
Let o(c) be the second derivative of -c**5/30 - 106*c**4 - 134832*c**3 - 85753152*c**2 + 2*c + 1082. Factor o(h).
-2*(h + 636)**3/3
Let p = -319 - -325. Let k be (-6)/(-9)*(-162)/(-4). What is g in k*g**4 + g**3 - 69*g**2 - p + 20*g - 10*g**3 - 59*g = 0?
-1, -1/3, 2
Factor 542/5*n**2 + 0 + 2/5*n**4 - 116/5*n**3 - 636/5*n.
2*n*(n - 53)*(n - 3)*(n - 2)/5
Let v be (5 - 3)/((2331/(-2220))/((-3)/5)). What is i in 10*i + 26*i**2 + v + 120/7*i**3 = 0?
-1, -4/15, -1/4
Let o be (2 + (-721)/(-322))/(9/12). Let x = 413/69 - o. Solve x*b**3 + 0*b + b**2 - 4/3 = 0 for b.
-2, 1
Let x(j) be the second derivative of -j**4/4 - 79*j**3/2 - 231*j**2 - 1161*j. Factor x(s).
-3*(s + 2)*(s + 77)
Suppose 0 = -3*x - a + 81, 13*a - 118 = -5*x + 17*a. Determine d, given that 5*d - 60 - x*d**2 - 8*d**3 + 3*d**3 + 86*d**2 = 0.
-1, 1, 12
Let z(i) be the third derivative of i**6/180 + 16*i**5/45 + 5*i**4/3 + 61*i**2 - 6*i. Let z(o) = 0. What is o?
-30, -2, 0
Let c(s) = -s**3 - 14*s**2 + 12*s. Let q(m) = 4*m**3 + 45*m**2 - 34*m. Let n(h) = -7*c(h) - 2*q(h). Determine k so that n(k) = 0.
0, 4
Suppose 24*j - 1020 = -146*j. Let w(k) be the third derivative of 0*k - 1/90*k**j - 21*k**2 - 1/60*k**5 + 1/18*k**4 + 0 + 2/9*k**3 - 1/630*k**7. Solve w(o) = 0.
-2, -1, 1
Let n(z) be the first derivative of -3*z**5/5 + 9*z**4/4 + 6*z**3 - 12*z**2 - 2133. Factor n(h).
-3*h*(h - 4)*(h - 1)*(h + 2)
Factor 744*c - 9304*c + 24*c**3 + 1222*c**2 + 22*c**2 + 1392.
4*(c - 6)*(c + 58)*(6*c - 1)
Let k(i) be the second derivative of 26645*i**4/12 + 1460*i**3/3 + 40*i**2 - 4*i - 211. Solve k(b) = 0 for b.
-4/73
Let j(h) be the first derivative of 1/6*h**3 - 82 + 1/8*h**4 - 17/4*h**2 + 15/2*h. Factor j(l).
(l - 3)*(l - 1)*(l + 5)/2
Let d = -48 + 50. Factor -d*s**4 - 37*s - 85*s**2 + 93*s**2 + 37*s.
-2*s**2*(s - 2)*(s + 2)
Let s be (-23)/(-54) - ((-84)/(-81))/(-14). Suppose 36 = -4*z + 44. Determine b so that -1/2 + 3/2*b**3 - 3/2*b + s*b**z = 0.
-1, -1/3, 1
Suppose 5*a + 49 = -8*y + 19, 0 = -2*a - 2*y - 6. Suppos