- 1/40*z**6 + 0*z**4 + 3. Suppose d(h) = 0. What is h?
-3, 0, 1
Let r be 5 - 96/18*51. Let q = -5071/19 - r. Find j such that -q*j**4 + 4/19*j**2 + 0 + 0*j + 2/19*j**3 = 0.
-1, 0, 2
Let w(x) be the third derivative of -x**7/735 - x**6/28 - 5*x**5/14 - 125*x**4/84 + 2338*x**2. Suppose w(a) = 0. Calculate a.
-5, 0
Let v(l) be the second derivative of -l**6/120 - 4*l**5/5 + 35*l**4/24 + 41*l**3/3 + 195*l**2/8 - 29*l + 47. Factor v(i).
-(i - 3)*(i + 1)**2*(i + 65)/4
Suppose -4*u = 5*b - 63, 92*u - 513 = 4*b + 579. Solve 28/5*y**4 + 2/5*y**5 + 168/5*y + 26*y**b + 0 + 248/5*y**2 = 0 for y.
-7, -3, -2, 0
Let n = -3348 + 3350. Let c(v) be the third derivative of 0 - 1/90*v**4 + 0*v**3 - 7*v**n - 1/150*v**5 + 0*v. Solve c(w) = 0 for w.
-2/3, 0
Let u = 108 - 103. Let 15*j**4 + 18*j + 48*j**2 - 58*j**2 - 5*j**3 - u*j**5 - 3*j - 5*j**3 - 5 = 0. Calculate j.
-1, 1
Let k(r) be the third derivative of -r**5/180 - 23*r**4/36 - 5*r**3/2 + 3*r**2 - 186. Factor k(v).
-(v + 1)*(v + 45)/3
Find d such that 49/3*d - 23 - 1/3*d**3 + 7*d**2 = 0.
-3, 1, 23
Let -88/5*j**4 + 4 + 94/5*j - 16*j**3 + 68/5*j**2 - 14/5*j**5 = 0. Calculate j.
-5, -1, -2/7, 1
Let a(c) = -17*c**2 - c - 2. Let d be a(-1). Let q = d + 21. Factor 4*i**2 - 16*i**q - 6*i**2 - 4*i**2 + i**3.
-3*i**2*(5*i + 2)
Factor 2/5*s**2 + 0 - 2/25*s**4 + 0*s + 8/25*s**3.
-2*s**2*(s - 5)*(s + 1)/25
Factor -73*j - 608784 + 13*j + 27*j**2 + 608784 - 3*j**3.
-3*j*(j - 5)*(j - 4)
Let j(q) be the third derivative of q**6/120 - q**5/5 + 7*q**4/8 - 55*q**3/3 - 2*q**2 - 29*q. Let w be j(11). Factor w + v**3 + 1/2*v**2 - 1/2*v.
v*(v + 1)*(2*v - 1)/2
Let h(i) be the second derivative of -5*i**4/6 + 136*i**3/3 - 252*i**2 - 4551*i. What is s in h(s) = 0?
2, 126/5
Find o such that 1/5*o**3 - 37/5*o**2 + 1/5*o**4 + 84/5 + 47/5*o = 0.
-7, -1, 3, 4
Let z = 1048 - 1044. Let a(c) be the second derivative of 2/9*c**2 + 28*c + 1/27*c**3 + 0 - 1/54*c**z. Factor a(i).
-2*(i - 2)*(i + 1)/9
Let n(b) be the first derivative of b**3/3 - 5*b**2 + 3*b + 17. Let g be n(10). Solve -2*o**3 - 4*o**g - 14*o**2 + 10*o**3 - 6*o**2 = 0 for o.
0, 5
Factor 1048560/7*x + 2080800/7 + 4/7*x**3 + 584*x**2.
4*(x + 2)*(x + 510)**2/7
Let 4*v + 0 - 1/3*v**4 + 8/3*v**2 - 5/3*v**3 = 0. What is v?
-6, -1, 0, 2
Let c be (-205)/35 + 5 + 26/14 + 5. What is a in -3/2*a**4 + 6*a - c*a**3 - 15/2 + 9*a**2 = 0?
-5, -1, 1
Factor -16*s**3 - 2/5*s**4 - 416/5*s**2 + 1536*s - 18432/5.
-2*(s - 4)**2*(s + 24)**2/5
Suppose 2 - 4 = 2*q. Let x(p) = -2034*p - 2028*p - 15*p**2 + 4067*p. Let t(d) = d**2 + d. Let r(y) = q*x(y) + 10*t(y). Factor r(w).
5*w*(5*w + 1)
Factor 6050*h**3 - 110*h**4 + 0 + 2/3*h**5 - 332750/3*h**2 + 0*h.
2*h**2*(h - 55)**3/3
Let t be 157 + -1 - 8/((-16)/6). Let f = -633/4 + t. Factor -w + f*w**2 + 0.
w*(3*w - 4)/4
Let m(r) be the third derivative of r - 10*r**3 - 175/24*r**4 - 11/4*r**5 - 107*r**2 + 0 - 3/8*r**6 + 1/42*r**7. Factor m(b).
5*(b - 12)*(b + 1)**3
Let z(q) = -56*q**3 + 248*q**2 - 224*q - 20. Let b(h) = 57*h**3 - 260*h**2 + 223*h + 19. Let t(v) = 4*b(v) + 3*z(v). Determine c, given that t(c) = 0.
-1/15, 1, 4
Let n be 8 - ((-99)/(-7) + 14 + -21). Factor -2/7*c**3 + 18/7*c + 54/7 - n*c**2.
-2*(c - 3)*(c + 3)**2/7
Let g(s) = -3*s**2 + 247*s + 257. Let o(t) = t**2 + 3*t + 1. Let v(w) = -g(w) - 7*o(w). Solve v(c) = 0.
-66, -1
Suppose 4*k - 1296 = -4*y, 9*y - 7*y + 972 = 3*k. Let c be (4380/k + -13)/((-2)/(-6)). Solve c*p + 2/9*p**2 + 4/3 = 0.
-6, -1
Suppose 3*z + 40 = -2*s, 6*s - 30 = 3*z + 3*s. Let c be 28/z - -1 - 472/(-120). Determine l so that -24/5*l + c*l**2 - 4/5 = 0.
-2/13, 2
Factor -5/4*x + 9/2*x**2 - 3/4*x**5 - 6*x**3 + 7/2*x**4 + 0.
-x*(x - 1)**3*(3*x - 5)/4
Let f = -133609/3 - -44537. Factor -2*i - 4/3 - f*i**2.
-2*(i + 1)*(i + 2)/3
Let l(q) be the second derivative of -32*q**6/255 + 22*q**5/85 - 13*q**4/102 + q**3/51 - 231*q. Solve l(i) = 0 for i.
0, 1/8, 1/4, 1
Let y(j) be the first derivative of -4*j**6/3 - 38*j**5/5 + 9*j**4/2 + 134*j**3/3 - 65*j**2 + 24*j + 3. Let y(h) = 0. What is h?
-4, -3, 1/4, 1
Suppose 4/5*a**3 + 468/5*a + 232/5 + 48*a**2 = 0. What is a?
-58, -1
Let v(z) = z**2 + 35*z + 34. Let d be v(-34). Let t = 23809/19 - 1253. Factor d*l**3 + 0 - 2/19*l**4 + 0*l + t*l**2.
-2*l**2*(l - 1)*(l + 1)/19
Suppose -121 + 141 = 88*z - 684. Let b(m) be the first derivative of -2/15*m**3 + 2/5*m + z + 1/5*m**2 - 1/10*m**4. Let b(t) = 0. What is t?
-1, 1
Let j = 54265 + -54263. Factor 0*i + 2/9*i**j + 0.
2*i**2/9
Let t(p) be the first derivative of p**6/6 + 11*p**5/5 - 14*p**4 + 20*p**3 - 415. Factor t(a).
a**2*(a - 2)**2*(a + 15)
Factor -2/7 + 334/7*p**2 + 332/7*p.
2*(p + 1)*(167*p - 1)/7
Let p be (-3)/(-24) + (-806)/(-208) + -4. Let o(c) be the first derivative of 1/15*c**4 + 0*c**2 + 18 - 2/45*c**3 + p*c - 2/75*c**5. Factor o(v).
-2*v**2*(v - 1)**2/15
Let z(i) be the second derivative of i**4/4 + 576*i**3 + 497664*i**2 + 3*i - 24. Factor z(k).
3*(k + 576)**2
Let g(m) be the second derivative of 3/2*m**3 + 2*m**2 + 23*m - 5/24*m**4 + 3. Factor g(s).
-(s - 4)*(5*s + 2)/2
Let n(k) = -4*k**3 + 641*k**2 - 25596*k + 24999. Let p(l) = 6*l**3 - 961*l**2 + 38394*l - 37495. Let j(h) = 7*n(h) + 5*p(h). Factor j(c).
2*(c - 79)**2*(c - 1)
Let n(w) be the second derivative of w**7/28 + 3*w**6/10 - 21*w**5/40 - 2814*w. Suppose n(k) = 0. What is k?
-7, 0, 1
Let c(t) = 58*t**2 - 76*t + 18. Let q be c(1). Let 1/10*w**2 + 1/10*w**3 + q - 1/5*w = 0. Calculate w.
-2, 0, 1
Let i be (-12)/22 - (-33)/1815*52. What is o in 4/5 + 1/10*o**4 + 1/10*o**3 - i*o - 3/5*o**2 = 0?
-2, 1, 2
Suppose g + 4*c = 0, 9*g + 5*c = 11*g - 26. Suppose -g = -4*u + 4*a, 0 = -2*u + 5*a - 0*a + 4. Find t, given that 0 + 3/7*t**u + 3/7*t**4 - 6/7*t**3 + 0*t = 0.
0, 1
Let v(j) = -j**3 + 4*j**2 - 1. Let h(y) = -y**4 - 2*y**3 - 86*y**2 + 36*y + 227. Let a(x) = -4*h(x) - 44*v(x). Factor a(n).
4*(n - 2)*(n + 3)*(n + 6)**2
Suppose -13*r = 11*r - 288. Solve 7*q**2 + r*q + 22 - 2*q**2 - 6 - 9*q**2 = 0.
-1, 4
Let b be ((-1)/(-5))/((-2)/(-15)). Let t = 138371 + -276741/2. Find y, given that -3/2*y**4 + b*y**3 - 1/2*y**2 + 0*y + t*y**5 + 0 = 0.
0, 1
Let v(m) = -7*m**3 + 11 + 6*m**3 + 10*m**5 - 61*m**4 + 11*m + 63*m**4. Let u(w) = w**5 + w + 1. Let d(x) = 44*u(x) - 4*v(x). Factor d(c).
4*c**3*(c - 1)**2
Let a(r) be the second derivative of -r**5/4 + 155*r**4/12 - 70*r**3 + 5619*r. Factor a(b).
-5*b*(b - 28)*(b - 3)
Let x be ((-6)/(-8))/(2147 - 2146). Factor x - 11/2*n + 35/4*n**2 - 4*n**3.
-(n - 1)**2*(16*n - 3)/4
Let j(b) be the second derivative of -b**7/147 - 2*b**6/15 - 6*b**5/7 - 25*b**4/21 + 125*b**3/21 - 4399*b - 2. Find a such that j(a) = 0.
-5, 0, 1
Suppose 3*c = -2*m + 51, 5*c + 24 = -5*m + 159. Let i be (16/(-5))/(((-378)/m)/7). Factor -i*t - 8/9 - 2/9*t**3 - 10/9*t**2.
-2*(t + 1)*(t + 2)**2/9
Let g(t) be the first derivative of 9*t + 18 - 4/3*t**3 + 6*t**2 - 1/3*t**4. Let h(w) be the first derivative of g(w). Factor h(q).
-4*(q - 1)*(q + 3)
Let u(t) = 70*t - 416. Let m be u(6). Let q be -3 - m - 1148/(-140). Determine i so that -3/5*i**2 + q*i + 3/5*i**4 + 0 - 6/5*i**3 = 0.
-1, 0, 1, 2
Let a(p) be the third derivative of -p**5/330 - 7*p**4/33 - 49*p**3/11 + 2809*p**2. Let a(m) = 0. Calculate m.
-21, -7
Let n(z) be the third derivative of -z**9/15120 + z**8/960 - z**7/180 + z**6/90 + z**4/12 + 67*z**2. Let c(i) be the second derivative of n(i). Factor c(m).
-m*(m - 4)*(m - 2)*(m - 1)
Let p(c) be the first derivative of -c**4/2 - 74*c**3/3 - 7*c**2 - 7*c + 12. Let r(b) = 2*b + 1. Let t(g) = 2*p(g) + 14*r(g). What is o in t(o) = 0?
-37, 0
Let o = 418377 - 418377. Let 24/13*v**2 - 2/13*v**3 + 0*v + o = 0. Calculate v.
0, 12
Let n(d) be the third derivative of d**8/161280 + d**7/40320 - d**6/2880 - 11*d**5/60 - 48*d**2. Let v(b) be the third derivative of n(b). Factor v(j).
(j - 1)*(j + 2)/8
Suppose -m - 2*m = -15. Let d be (-2)/(104/91)*-4. Factor 10*i**3 - 6*i - 6*i + d*i - 5*i**m.
-5*i*(i - 1)**2*(i + 1)**2
Determine v so that 21128 - 432*v - 21128 - 3*v**2 = 0.
-144, 0
Let n = 53157 + -372907/7. Let i = -115 - n. Factor 2/7 + b + i*b**2.
(b + 2)*(3*b + 1)/7
Let d = 3034897463/1020 + -2975389. Let l = d - 19/60. Find q, given that l + 4/17*q - 2/17*q**2 = 0.
-1, 3
Let l(b) be the third derivative of b**5/90 - 173*b**4/12 + 2060*b**3/9 - 343*b**2 + 8*b + 2. Let l(p) = 0. What is p?
