+ 130*t**6/9 - 1297*t**5/90 + 9*t**4/2 + 26*t**2 - 77. Determine i so that d(i) = 0.
0, 1/4, 162
Let j be (-95)/(-150) - (-31)/(12090/(-52)). Let j*q + 1/4 - 1/4*q**4 + 0*q**2 - 1/2*q**3 = 0. What is q?
-1, 1
Suppose 6 + 27 = 11*z. Let t(d) = 2*d - 6. Let y be t(z). Solve 2/3*b**3 - 2/3*b**2 + 2/3*b**4 + y - 2/3*b = 0.
-1, 0, 1
Let d be 13 + -1 - (206 + -197). Let u(a) be the third derivative of -1/12*a**5 + 0*a**4 + 19*a**2 + 0 + 5/6*a**d + 0*a. Factor u(t).
-5*(t - 1)*(t + 1)
Let k be (32578/280)/((-2)/(-8)). Let y = k + -465. Determine g, given that 1/5*g + 2/5*g**4 - 1/5*g**5 - y*g**2 + 0*g**3 + 0 = 0.
-1, 0, 1
Let c(l) be the first derivative of 28/3*l**3 + l**4 - 110 + 32*l + 28*l**2. Solve c(y) = 0 for y.
-4, -2, -1
Let x(s) = s**3 - 7*s**2 - 22*s + 72. Let q be x(9). Suppose 26*j = 38*j - q. Let -38/7*v - 4/7*v**2 - 12/7 + 6/7*v**j = 0. What is v?
-2, -1/3, 3
Let c = -650 + 566. Let t = -419/5 - c. Suppose 0 + 0*b - 1/5*b**4 + 1/5*b**5 + t*b**2 - 1/5*b**3 = 0. What is b?
-1, 0, 1
Let a(v) = 4*v**3 - 96*v**2 + 294*v. Let k(f) = f**3 - 20*f**2 + 2*f. Let s(l) = -4*a(l) + 12*k(l). Factor s(w).
-4*w*(w - 24)*(w - 12)
Let p(a) be the first derivative of a**6/15 + 86*a**5/25 + 33*a**4 + 1672*a**3/15 + 136*a**2 + 3908. Let p(i) = 0. Calculate i.
-34, -5, -2, 0
Let g(k) be the third derivative of 1/720*k**6 + 0 + 3*k**2 - k + 0*k**3 - 13/60*k**5 + 169/16*k**4. Determine p, given that g(p) = 0.
0, 39
Let s(h) be the first derivative of h**6/6 + 36*h**5/5 + 71*h**4 - 758*h**3/3 - 285*h**2/2 + 722*h + 1369. Suppose s(j) = 0. Calculate j.
-19, -1, 1, 2
Suppose -2/3*r**2 + 830/3*r + 832/3 = 0. Calculate r.
-1, 416
Let a(g) be the third derivative of -g**7/1260 - g**6/90 + 8*g**5/15 + 13*g**4/4 - 169*g**2. Let f(o) be the second derivative of a(o). Factor f(m).
-2*(m - 4)*(m + 8)
Let k(t) = 109*t + 112. Let h be k(-1). Let x(s) be the third derivative of 1/100*s**5 - 1/8*s**4 + 0*s + 3/5*s**h - 18*s**2 + 0. Factor x(u).
3*(u - 3)*(u - 2)/5
Let u = 88 + -82. Let d(n) = -5*n**3 - 3*n**2 - 4*n. Let x(w) = -30*w**3 - 20*w**2 - 25*w. Let g(z) = u*x(z) - 35*d(z). Suppose g(f) = 0. What is f?
-2, -1, 0
Let b(m) be the second derivative of 1/78*m**4 - 1/130*m**5 + 0*m**3 - 7/2*m**2 - 1/156*m**6 + 11*m + 0. Let j(k) be the first derivative of b(k). Factor j(x).
-2*x*(x + 1)*(5*x - 2)/13
Let k = 236/5419 + 15077/27095. Factor -39/5*r**2 - k*r**3 + 0 - 36/5*r.
-3*r*(r + 1)*(r + 12)/5
Let k(r) be the second derivative of r**7/126 + r**6/18 + 7*r**5/60 + r**4/12 - 6332*r. What is d in k(d) = 0?
-3, -1, 0
Suppose 4*d**5 - 771639*d**2 - 96*d**4 + 92*d**3 + 771639*d**2 = 0. What is d?
0, 1, 23
Factor -36 + 36 + 138*j - 3370*j**2 + 3445*j**2 + 3*j**3.
3*j*(j + 2)*(j + 23)
Let a(p) be the first derivative of p**5/10 - 363*p**4/2 + 131769*p**3 - 47832147*p**2 + 17363069361*p/2 - 380. Factor a(n).
(n - 363)**4/2
Let f(t) = t**3 - 10*t**2 + 279*t - 2426. Let n be f(9). Let b = 10 - 19/2. Suppose -3/4*i**n + 0*i**2 + 5/2*i**3 - 2*i + 3/4 - b*i**5 = 0. Calculate i.
-3, -1, 1/2, 1
Let q = 1194 - 1184. Let l(s) be the second derivative of 0 + 0*s**2 - 1/12*s**4 + 1/20*s**5 + 1/15*s**6 - q*s + 0*s**3. Factor l(g).
g**2*(g + 1)*(2*g - 1)
Let f be 0 + (37 + 11)*-5. Let l be (f/(-200))/(4/(-10)) + 7. Determine a, given that 6*a**5 - 15/2*a**l + 3 - 33/2*a**3 + 69/2*a**2 - 39/2*a = 0.
-2, 1/4, 1
Let i(b) be the first derivative of -4*b**5/5 + 26*b**4 - 272*b**3/3 - 52*b**2 + 276*b + 3911. Suppose i(j) = 0. What is j?
-1, 1, 3, 23
Let n(u) be the second derivative of -u**7/168 - 7*u**6/40 + 29*u**5/40 + 145*u**4/24 + 109*u**3/8 + 115*u**2/8 + 4*u + 29. Solve n(q) = 0.
-23, -1, 5
Suppose -6*q - 3788 = -10382. Suppose 4 - 47*i - 81*i - q*i**2 - 4*i**4 - 68 + 1003*i**2 - 32*i**3 = 0. Calculate i.
-2
Factor 18*s**2 - 27120116 + 18*s**2 - 12923468 - 40*s**2 - 21828*s - 3484*s.
-4*(s + 3164)**2
Let g(p) be the third derivative of -p**6/1260 + p**5/210 - 13*p**3/3 - 118*p**2. Let y(n) be the first derivative of g(n). Factor y(l).
-2*l*(l - 2)/7
Let a = 122023/2 - 61001. Factor -27 - a*w + 3/2*w**2.
3*(w - 9)*(w + 2)/2
Let s(d) be the second derivative of d**7/7560 + d**6/90 - 5*d**5/72 + 91*d**4/12 - 126*d. Let h(w) be the third derivative of s(w). Factor h(t).
(t - 1)*(t + 25)/3
Let s = -296/14673 - -969898/73365. Let m = -16962/5 + 3465. What is i in -s*i - m - 3/5*i**2 = 0?
-11
Factor -40/3 + 12*x**2 - 134/3*x.
2*(x - 4)*(18*x + 5)/3
Let g(x) be the third derivative of -x**6/1080 + 7*x**5/90 - 245*x**4/216 + 15*x**2 + 7*x. Factor g(p).
-p*(p - 35)*(p - 7)/9
Let v(p) be the first derivative of p**5 + 35/4*p**4 - 17 + 25*p**3 + 45/2*p**2 + 0*p. Let v(y) = 0. Calculate y.
-3, -1, 0
Suppose 279*m + 81*m + 38*m = 3582. Let d(f) be the second derivative of 1/60*f**6 + 2/3*f**3 - 1/4*f**4 + 0*f**5 + m - 3/4*f**2 + f. Factor d(o).
(o - 1)**3*(o + 3)/2
Find g, given that -133*g - 97 - 97 + 377 - g**2 - 49 = 0.
-134, 1
Let s be 6/(-9) + (-42)/(-9). Let f be 9/(-2) + s + (-3)/(-2). Determine c so that -2*c**2 + c**5 + 11*c - 4*c**3 + f + 2*c**3 - 10*c + c**4 = 0.
-1, 1
Let s(a) be the first derivative of -17 + 3/4*a**2 - 5/16*a**4 + 3/8*a**3 + 26*a. Let w(x) be the first derivative of s(x). Factor w(c).
-3*(c - 1)*(5*c + 2)/4
Let z(j) = -217*j + 3040. Let s be z(14). Let t(g) be the second derivative of 0 - 46*g - 3/7*g**3 + 81/14*g**s + 1/84*g**4. Suppose t(w) = 0. Calculate w.
9
Let y be (-340)/272 + (-586)/(-8). Let z be (y/(-54))/(10/(-27)). Suppose z*g + 2/5*g**3 + 0 + 12/5*g**2 = 0. What is g?
-3, 0
Let i(k) = 10*k**4 + 835*k**3 + 5*k**2 - 5*k - 5. Let g(f) = 3*f**4 + f**2 - f - 1. Let j(o) = 5*g(o) - i(o). Factor j(v).
5*v**3*(v - 167)
What is w in 2/5*w**3 + 0 - 234*w**2 + 0*w = 0?
0, 585
Let y = 28823/116 - 6923/29. Solve 0*t + 75/4*t**3 - 3/4*t**5 + 33/4*t**4 + y*t**2 + 0 = 0 for t.
-1, 0, 13
Let g = -14 - -28. Suppose 0 + g = 7*v. Factor -5*j - 2*j**2 - 2*j**v + 13*j.
-4*j*(j - 2)
Let d(o) be the third derivative of 6*o**2 + 0 - 1/20*o**5 + 1/2*o**3 - 1/8*o**4 - o + 1/40*o**6. Factor d(v).
3*(v - 1)**2*(v + 1)
Let q(j) be the second derivative of -4*j**6/135 - 27*j**5/10 - 3779*j**4/54 - 880*j**3/9 + 100*j**2 - 139*j. Let q(r) = 0. What is r?
-30, -1, 1/4
Determine l so that -4/5*l - 1/5*l**4 - 1/5*l**3 + 12/5*l**2 - 16/5 = 0.
-4, -1, 2
Determine h, given that 4905*h**2 - 4458*h - 2447*h**2 - 1656147 - 2461*h**2 = 0.
-743
Let a(c) be the second derivative of -c**6/30 + 8*c**5/5 - 61*c**4/4 - 198*c**3 - 486*c**2 - 2712*c. Find k such that a(k) = 0.
-3, -1, 18
Let k(r) be the third derivative of -r**5/20 + 33*r**4/2 + 134*r**3 + 6*r**2 + 28*r - 2. Factor k(d).
-3*(d - 134)*(d + 2)
Let k be (-3)/18*-10*(-252)/(-210). Let d(z) be the third derivative of -13*z**k + 1/45*z**5 + 0*z + 0*z**3 + 0 - 1/6*z**4. Factor d(o).
4*o*(o - 3)/3
Let p be (5885/(-1605))/(22/(-4)). Factor -p*n**2 - 4/3 + 2*n.
-2*(n - 2)*(n - 1)/3
Let u = 11069 - 11067. Let n be -1*0/1*-1. Determine c, given that n - 1/3*c**u - 2/3*c = 0.
-2, 0
Let y(v) = v**2 - 32*v - 31. Let f be y(-1). Let p(t) be the first derivative of 6 + 2/5*t**5 + 1/4*t**f - 1/8*t**4 + 0*t - 2/3*t**3. Factor p(h).
h*(h - 1)*(h + 1)*(4*h - 1)/2
What is d in -2469/5*d - 2454/5*d**3 - 3696/5*d**2 - 606/5*d**4 - 618/5 + 3/5*d**5 = 0?
-1, 206
Suppose -1233*i + 218*i = -5075. Determine n, given that -32 + 88/3*n**4 - 368/3*n - 328/3*n**2 + 4*n**3 + 20/3*n**i = 0.
-3, -2, -1, -2/5, 2
Let n(b) be the second derivative of -b**4/28 + 10*b**3/7 + 66*b**2/7 + 4715*b. Factor n(q).
-3*(q - 22)*(q + 2)/7
Let j be 1 - 6 - 22849/(-1241). Let r = -439/34 + j. Factor -r*g**3 - 1/4*g**4 + 1/4*g**2 + 0 + 1/2*g.
-g*(g - 1)*(g + 1)*(g + 2)/4
Let h(a) = -2*a**2 - 7*a - 45. Let o(d) = -12*d**2 - 48*d - 316. Let r be (-204)/34 - 13*-2. Let y(u) = r*h(u) - 3*o(u). Find b, given that y(b) = 0.
-3, 4
Let u(q) = q**2 - 7*q + 13. Let j be u(8). Let 72*l - 99 - j*l**4 + 18*l**4 + 46*l**2 - 36 + 20*l**2 = 0. What is l?
-3, 1, 5
Suppose 2*c + 37 = 5*w + 33, 3*w = -4*c + 18. Let b(m) be the first derivative of 1/6*m - 1/18*m**c + 0*m**2 + 18. Suppose b(t) = 0. What is t?
-1, 1
Suppose 248 = 38*q + 24*q. Let l(k) be the second derivative of 13*k + 0 + 7/24*k**q + 1/2*k**2 + 3/4*k**3. What is o in l(o) = 0?
-1, -2/7
Let q(n) be the first derivative of n**7/105 - 23*n**6/60 - 4*n