+ 629*o**3 - 97*o**5 = 0. What is o?
-1, 0, 10/27, 1
Let 434/5*k**3 + 1314/5*k**2 + 1318/5*k - 2/5*k**4 + 88 = 0. What is k?
-1, 220
Let u = 39/6839 + 75112/20517. Factor -u*k + 1/3*k**2 + 6.
(k - 9)*(k - 2)/3
What is b in 27*b**4 - 13*b - b**5 + 40*b - 39*b**3 + 195*b**2 - 47*b**3 - 84*b**3 + 147*b**2 - 513 = 0?
-1, 3, 19
Let a be (-118)/(-590)*160/9. Let h be 5 - 1 - 68/18. Factor 16/9*n - h*n**2 - a.
-2*(n - 4)**2/9
Let c(o) = o**4 + o**3 - o**2 + 4. Let w(p) = -15*p**4 - 102*p**3 + 321*p**2 + 396*p - 48. Let q(g) = 12*c(g) + w(g). Factor q(t).
-3*t*(t - 4)*(t + 1)*(t + 33)
Let h be ((-536)/(-56) - 5)/(4/14). Suppose -m**4 - 90*m**2 + h*m**3 - 9*m**4 + 169*m**3 = 0. What is m?
0, 1/2, 18
Let i be 1 - -10 - 3007/279. Let s(c) be the second derivative of -i*c**3 - 6*c + 1/3*c**2 + 1/18*c**4 + 0. Suppose s(a) = 0. Calculate a.
1
Suppose 0 = -6*r + 13*r. Factor -u**2 + r*u**2 + 2*u**2 - 22*u + 4 + 117.
(u - 11)**2
Let h be (0 - -2)*-1*(-6509)/(-46). Let d = -280 - h. Determine a so that 32/9*a + 16/9 + 16/9*a**2 - 1/9*a**5 - 5/9*a**4 - 4/9*a**d = 0.
-2, -1, 2
Let t(q) be the first derivative of -10*q**3 + 1197*q**2/8 + 15*q/2 + 4976. Determine u so that t(u) = 0.
-1/40, 10
Let a(c) be the second derivative of c**6/120 - c**5/10 - 7*c**4/24 + 2*c**3 - 27*c**2/8 + 1754*c. Factor a(r).
(r - 9)*(r - 1)**2*(r + 3)/4
Let j(m) be the second derivative of -25 + 1/5*m**5 - 4/3*m**3 - m + 0*m**2 + 1/3*m**4. Let j(d) = 0. What is d?
-2, 0, 1
Let d(k) be the first derivative of 8*k - 13 + 0*k**2 + 3/100*k**5 + 0*k**4 + 0*k**3. Let n(l) be the first derivative of d(l). What is h in n(h) = 0?
0
Factor -d**3 + 16*d**2 + 192*d + 150*d + 138 - 187*d.
-(d - 23)*(d + 1)*(d + 6)
Let l(v) be the first derivative of 4*v**2 + 2/15*v**5 + 13/6*v**4 - 111 - 48*v + 92/9*v**3. Determine u so that l(u) = 0.
-6, -2, 1
Determine z so that 7/4*z**2 + 21/4*z - 27/4 - 1/4*z**3 = 0.
-3, 1, 9
Let o(j) be the third derivative of -3*j**2 + 0*j - 19/40*j**5 - 61 + 0*j**3 + 3/8*j**4. Factor o(b).
-3*b*(19*b - 6)/2
Suppose 0*b**2 + 0 + 146/5*b**3 - 148/5*b**4 + 2/5*b**5 + 0*b = 0. What is b?
0, 1, 73
Let t be 16*688/15360 + (-2)/3. Let q(y) be the first derivative of 1/12*y**3 + 0*y + 1/8*y**4 + t*y**5 - 13 + 0*y**2. Factor q(r).
r**2*(r + 1)**2/4
Let c be 338/(-23322) - (-2226)/1242. Determine h, given that -970/9*h**3 + 40/9*h + 244/9*h**2 + 100*h**4 - c = 0.
-2/9, 2/5, 1/2
Suppose 3065*u = 6101*u - 3056*u. Determine p, given that -6/13*p**2 + 6/13*p**4 + 2/13*p**3 - 2/13*p**5 + u + 0*p = 0.
-1, 0, 1, 3
Let k(s) be the third derivative of -7*s**2 + 1/20*s**6 - 5/168*s**8 + 0*s**3 - 1/14*s**4 + 13/245*s**7 + 0 - 3*s - 19/210*s**5. Solve k(c) = 0 for c.
-3/5, -2/7, 0, 1
Let m(a) = -10*a**3 + a + 4. Let p be m(3). Let h = 266 + p. Let 2/3*n**h + 4/3*n - 2*n**2 + 0 = 0. Calculate n.
0, 1, 2
Suppose 10*y + 3*k = 5*y - 44, 3*k + 16 = -y. Let a be (-625)/(-150) - y/(-6). Factor -2/9*c**a + 0*c + 2/9*c**4 + 0 + 0*c**2.
2*c**3*(c - 1)/9
Let f = 38 - 40. Let n = -6 - f. Let w(r) = r**5 + r**3 + r**2 + r + 1. Let y(q) = 8*q**3 + 6*q**2 + 2*q + 2. Let v(d) = n*w(d) + 2*y(d). Factor v(u).
-4*u**2*(u - 2)*(u + 1)**2
Let x(a) be the second derivative of 16*a**7/147 + 4*a**6/105 - 13*a**5/35 - a**4/21 + 10*a**3/21 - 2*a**2/7 - 1636*a - 2. Suppose x(j) = 0. What is j?
-1, 1/4, 1/2, 1
Let x(c) be the first derivative of c**4/36 - 25*c**3/18 - 97*c - 39. Let a(k) be the first derivative of x(k). Determine m so that a(m) = 0.
0, 25
Let c(j) be the second derivative of -j**4/24 + 581*j**3/3 - 337561*j**2 + 3486*j. Factor c(h).
-(h - 1162)**2/2
Let c(z) be the second derivative of -8/15*z**5 + 0 - z**4 + 2*z**2 + 4/15*z**6 + 5/63*z**7 - 70*z + 11/9*z**3. Determine f, given that c(f) = 0.
-3, -1, -2/5, 1
Let r be 4 + (-10)/(-5) - 3. Suppose 6*q - 17 = c + 2*q, r*q = 4*c + 3. Let 12*y**2 - 3*y - 7*y**3 - 9 - c*y + 4*y**3 - 3*y**4 + 9*y**3 = 0. What is y?
-1, 1, 3
Let o be (-6)/33 - 2465/(-3575). Let c = o - -6/65. Suppose c + 6/5*j**2 - 9/5*j = 0. What is j?
1/2, 1
Let w(m) be the first derivative of 2*m**5/5 + 13*m**4/2 - 10*m**3 - 513*m**2 - 972*m - 4833. Solve w(u) = 0.
-9, -1, 6
Let y = 12696 - 12692. Suppose 0 = 18*d - 0 - 18. Find k such that -d + 14*k + 121/4*k**5 + 499/4*k**3 - 265/4*k**2 - 407/4*k**y = 0.
2/11, 1
Let q be 14/4*(1108/1274 + (-12)/26). Factor -2/7*n**2 - q - 12/7*n.
-2*(n + 1)*(n + 5)/7
Let v be -639*28/(-84)*2/2. Suppose 157 + 100*b**4 + 3325*b**2 + 3195*b + 1253*b**3 + 653 - v*b**3 = 0. Calculate b.
-9/2, -1, -2/5
Let z(u) be the third derivative of u**11/332640 - u**10/75600 + u**9/60480 + 7*u**5/10 + 20*u**2. Let m(w) be the third derivative of z(w). Factor m(r).
r**3*(r - 1)**2
What is s in 0 - 63/2*s**2 + 237/4*s**3 + 3/4*s**5 + 63/2*s**4 - 60*s = 0?
-40, -2, -1, 0, 1
Let m(n) be the first derivative of -n**4/16 + 229*n**3/12 - 1595*n**2 - 10092*n + 4166. Factor m(v).
-(v - 116)**2*(v + 3)/4
Let s(j) be the third derivative of j**8/504 - 17*j**7/315 + 14*j**6/45 - 26*j**5/45 + 2570*j**2. Factor s(d).
2*d**2*(d - 13)*(d - 2)**2/3
Factor -1005139 + 6*j**2 - 2113424 - 214185 + 0*j**2 + 6324*j - 9*j**2.
-3*(j - 1054)**2
Let r(k) = k**4 - k**3 + k**2 + k - 1. Let j(m) = m**5 + 3*m**4 - 7*m**3 + 3*m**2 + 3*m - 3. Let v = -359 + 362. Let i(w) = v*r(w) - j(w). Factor i(h).
-h**3*(h - 2)*(h + 2)
Let -477 + 2*l**3 - 84 - 410 + 3 - l**3 + 396*l + 42*l**2 = 0. What is l?
-22, 2
Let f = 2 - -3. Let c(s) = -2*s**3 + 27*s**2 + 127*s - 15. Let r be c(17). Let -55*a**4 + 9*a**3 - 24*a**2 + r*a**4 - 60*a**4 + 12*a - 3*a**f = 0. What is a?
-2, 0, 1, 2
Let y(o) be the second derivative of -o**4/6 - 17*o**3/3 + 18*o**2 + 2*o + 183. Find z such that y(z) = 0.
-18, 1
Find y such that 468/7*y + 68*y**3 - 940/7*y**2 - 4/7*y**4 + 0 = 0.
0, 1, 117
Let h be (-14)/133 - (-291)/57. Let l be 20/h + 2/(-1). Solve j**l + 7 + 0*j**2 - 4*j**2 + 5 = 0.
-2, 2
Let v(k) = 46. Let s(a) = 25. Let j(d) = -11*s(d) + 6*v(d). Let z(p) = -p**2 - 94*p - 2214. Let c(i) = 15*j(i) + 3*z(i). Let c(g) = 0. Calculate g.
-47
Let j be 2 + (-9958)/(-4596) + (((-2)/(-1))/(-12) - 0). What is y in 0*y + 14/11*y**j + 0 - 30/11*y**3 + 4/11*y**2 = 0?
0, 1/7, 2
Let n be -5 + ((-2824)/(-1076) + -2)*8. Let f = n + 2155/807. Let -4/5*a - 146/15*a**3 - 82/15*a**2 - f*a**4 + 0 = 0. Calculate a.
-3, -2/5, -1/4, 0
Let z(g) = 10*g**2 + 33*g + 32. Let v(c) = -57*c**2 - 198*c - 192. Let a = -415 + 449. Let w(l) = a*z(l) + 6*v(l). Suppose w(u) = 0. What is u?
-32, -1
Let o(a) = 3*a + 135. Let d be o(0). Suppose -s + 4*s = d. Suppose -427*k - 107*k**2 - 90*k**3 - 243 - 248*k + s*k**4 - 463*k**2 - 3*k**5 = 0. Calculate k.
-1, 9
Let v(m) be the third derivative of -m**5/60 - 107*m**4/24 + 113*m**3 - 2447*m**2. Factor v(p).
-(p - 6)*(p + 113)
Suppose 8*l + 5381 = 12*l - 3*t, -5*l + 2*t + 6735 = 0. Let m = l + -1349. Factor m + 1/2*g**4 - 1/2*g**2 - 3/2*g + 3/2*g**3.
g*(g - 1)*(g + 1)*(g + 3)/2
Suppose 59*r - 53*r - 12 = 0. What is h in 7 - 11*h**4 - 3 - 3*h**2 - 19*h + 8 + 24*h**3 - 5*h + r*h**4 = 0?
-1, 2/3, 1, 2
Let a be (-3 - -1) + (13 - -3). Suppose -8*y + y = -a. Let 2/15*d**y - 4/15*d + 0 = 0. Calculate d.
0, 2
Let v(q) = 3*q**4 - 29*q**3 + 193*q**2 - 276*q + 144. Let j(l) = 2*l**4 - 15*l**3 + 96*l**2 - 134*l + 72. Let c(t) = 5*j(t) - 3*v(t). Let c(a) = 0. Calculate a.
-18, 1, 4
Suppose -57 + 3 = -2*c + 5*k, -5*k = 14*c + 22. Factor -c - 3/2*q - 1/4*q**2.
-(q + 2)*(q + 4)/4
Let h(p) be the third derivative of p**7/1785 - p**6/510 - p**5/510 + p**4/102 + 4478*p**2. Factor h(t).
2*t*(t - 2)*(t - 1)*(t + 1)/17
Let t(s) be the first derivative of -57 - 8/9*s**3 + 0*s - 4/3*s**2 - 1/6*s**4. Factor t(x).
-2*x*(x + 2)**2/3
Let l(r) = -r**2 + 24*r + 54. Let y be l(26). Let p be (-3)/y*(-320)/1680. Factor 10/7*n + p*n**3 - 4/7 - 8/7*n**2.
2*(n - 2)*(n - 1)**2/7
Factor -11/6*d**2 - 15/2 + 19/2*d - 1/6*d**3.
-(d - 3)*(d - 1)*(d + 15)/6
Suppose -412583*c**2 - 1506*c - 24*c + 412578*c**2 - 117045 = 0. What is c?
-153
Let j = 3682 + -3679. Let c(w) be the second derivative of 1/6*w**j + 0 + 0*w**2 - 1/24*w**4 - 8*w. Factor c(d).
-d*(d - 2)/2
Let v(n) be the third derivative of n**7/210 + n**6/60 - 16*n**5/15 - 145*n**4/12 - 75*n**3/2 - 607*n**2. Factor v(j).
(j - 9)*(j + 1)*(j + 5)**2
Let l = 33 - 1. Let z = -17601 - -17617. Factor z*a + 18*a**2 - l*a - 8