) = 0. What is i?
-2, 1, 2, 7
Let w be 24/2 + (86 - 95). Let j(y) be the first derivative of w*y**2 - 17 + 8/3*y**3 + 0*y + 1/2*y**4. Determine r, given that j(r) = 0.
-3, -1, 0
Let i(w) be the first derivative of 82 + w**2 + 4*w - 2/3*w**3. Factor i(q).
-2*(q - 2)*(q + 1)
Let z(t) = -t + 13. Let y be z(10). Suppose 2*h - 47 = -43. Factor 32*s**3 - 2*s**4 + s - 33*s**y + 3*s**4 - s**h.
s*(s - 1)**2*(s + 1)
Let l = 245 + -208. What is v in l*v - 30 + 12 - 11*v**3 + 20*v**2 + 24 = 0?
-1, -2/11, 3
Let k = -10763/35 + 1539/5. Let t be (-50)/210*12/(-10). Factor -4/7 - t*r + k*r**2.
2*(r - 2)*(r + 1)/7
Let y be -3 + (-5 - -13) + (-2 - -1). Let g(r) be the first derivative of -1/10*r**y + 4/5*r + 3 + 3/5*r**2 + 0*r**3. Solve g(j) = 0.
-1, 2
Let r(m) be the third derivative of m**5/240 - 23*m**4/96 + 21*m**3/4 + 1442*m**2. Solve r(y) = 0.
9, 14
Let y(u) = 5*u**3 - 3*u**2 - 4*u - 11. Let r be y(4). Solve 61*v**3 + 64*v**3 - 130*v**3 - 70*v**2 - r*v = 0 for v.
-7, 0
Let q(u) be the third derivative of -u**7/490 - 27*u**6/280 - 193*u**5/140 - 117*u**4/56 + 169*u**3/7 + 3022*u**2. Let q(n) = 0. What is n?
-13, -2, 1
Factor 207/2*p**2 - 10815/2*p + 10609/2 - 1/2*p**3.
-(p - 103)**2*(p - 1)/2
Let j = 340713712357/144276 - 25976950/11. Let m = j + -2/3279. Determine d, given that 0*d**2 + 0*d**3 - 1/4*d**4 + m*d**5 + 0*d + 0 = 0.
0, 1
Let d(n) = n**3 + 2*n**2 - 22*n - 28. Let s be d(-5). Let t(w) be the second derivative of s*w - 25/12*w**4 + 0 + 0*w**2 + 3/4*w**5 + 5/3*w**3. Factor t(q).
5*q*(q - 1)*(3*q - 2)
Let l be 9*8/(-168)*(-17 + 10). Factor 6*s**l + 26*s + 58/3*s**2 + 2/3*s**4 + 12.
2*(s + 1)*(s + 2)*(s + 3)**2/3
Let f(i) be the third derivative of i**5/120 + 5*i**4/12 + 16*i**3/3 + 512*i**2 - i + 2. Let f(h) = 0. Calculate h.
-16, -4
Let o(z) = -13*z**2 - 178*z + 1010. Let t be o(-18). Suppose -9/7*y**t + 9/7*y - 3/7 + 3/7*y**3 = 0. Calculate y.
1
Let f be (-2159)/381 + 14 + (-50)/6. Factor -13*i + f - 1/3*i**2.
-i*(i + 39)/3
Find c such that -232/5*c**4 + 48/5 - 416/5*c**2 - 32/5*c**5 - 52/5*c - 516/5*c**3 = 0.
-4, -3/2, -1, 1/4
Let w(r) be the third derivative of -r**7/42 + r**6/8 + 5*r**5/6 - 2145*r**2. Suppose w(n) = 0. Calculate n.
-2, 0, 5
Let q(p) = -p**3 + 15*p**2 - 25*p - 10. Let n be q(13). Let j(u) be the first derivative of -9 + 7/12*u**2 - 2/3*u + 1/9*u**n. Suppose j(v) = 0. Calculate v.
-4, 1/2
Let 4/5*s**4 - 8*s - 4/5*s**2 + 8*s**3 + 0 = 0. What is s?
-10, -1, 0, 1
Let y = -15269 - -45884/3. Let k(g) be the second derivative of -64/3*g**3 - y*g**4 - 49/5*g**5 - 8*g**2 + 0 + 25*g. Determine u, given that k(u) = 0.
-1, -2/7
Let n(t) be the second derivative of t**4/48 + 1327*t**3/24 + 663*t**2/4 - 9925*t. Determine r so that n(r) = 0.
-1326, -1
Factor -134/7*z + 9/7 - 15/7*z**2.
-(z + 9)*(15*z - 1)/7
Let v = 175 - 162. Solve -2*q**4 - 11*q + 14 + 6*q + 10 - 12*q**3 + v*q - 18*q**2 = 0 for q.
-3, -2, 1
Let j(h) = 5*h**3 + 20*h**2 + 270*h + 200. Suppose -304*m + 6 = -298*m. Let n(f) = -2*f**2 + 2*f. Let v(w) = m*j(w) - 25*n(w). Factor v(g).
5*(g + 2)**2*(g + 10)
Let v(h) be the first derivative of -3*h**5/5 - 555*h**4/4 - 9006*h**3 - 62370*h**2 - 145800*h + 4985. Factor v(m).
-3*(m + 2)*(m + 3)*(m + 90)**2
Let s(j) be the third derivative of -j**6/780 - 44*j**5/195 + 363*j**4/52 - 5*j**2 - 4*j - 2. Factor s(u).
-2*u*(u - 11)*(u + 99)/13
Suppose 0 = -5*v - 2*f - 238, -5*v - 243 = -6*f + 3*f. Let d be 1*-12*16/v. Suppose 1/3*x + 2/3*x**2 - 7/3*x**3 + 4/3*x**d + 0 = 0. Calculate x.
-1/4, 0, 1
Let t = 641 + -851. Let y be (-1)/5 - (-11 + (-2148)/t). Solve y*r**2 - 1/7*r**5 + 0*r - 3/7*r**4 + 0*r**3 + 0 = 0.
-2, 0, 1
Let t(b) be the second derivative of b**7/280 - b**6/160 - b**5/10 + 3*b**4/8 + 123*b**2/2 - 4*b + 13. Let a(y) be the first derivative of t(y). Solve a(k) = 0.
-3, 0, 2
Suppose -18*l - 1/2*l**2 - 323/2 = 0. Calculate l.
-19, -17
Let x(s) be the third derivative of s**6/240 - s**5/12 - 91*s**4/48 - 20*s**3/3 - 866*s**2. Solve x(b) = 0 for b.
-5, -1, 16
Suppose 52 - 70 = -3*y. Let f(t) be the second derivative of -4/5*t**y + 1/2*t**4 + 0*t**3 - 4*t + 3/20*t**5 + 5/14*t**7 + 0*t**2 + 0. Factor f(d).
3*d**2*(d - 1)**2*(5*d + 2)
Suppose 37*z + 42*z = z + 234. Suppose -3/4*o**4 + 0*o**2 + 0*o + 0 - 3/4*o**z = 0. Calculate o.
-1, 0
What is t in 28/3 - 28/3*t**2 - 2/3*t**3 + 2/3*t = 0?
-14, -1, 1
Let x(q) = 442*q + 25196. Let d be x(-57). Find y such that 5/3*y**4 + 0*y + 0 - 5*y**3 + 10/3*y**d = 0.
0, 1, 2
Let a(c) be the second derivative of -c**5/40 + 27*c**4/8 - 126*c**3 - 1323*c**2 + 295*c + 1. Factor a(m).
-(m - 42)**2*(m + 3)/2
Let y(c) be the first derivative of -4*c**5/5 - 12*c**4 + 752*c**3/3 + 2688*c**2 - 50176*c - 3608. Determine n so that y(n) = 0.
-14, 8
Let j(p) be the third derivative of p**5/450 + 599*p**4/90 + 358801*p**3/45 - p**2 - 858. Solve j(m) = 0.
-599
Let s(m) be the first derivative of 2*m**6/45 - 9*m**5/20 + 19*m**4/12 - 16*m**3/9 - 2*m**2 - 31*m + 133. Let t(p) be the first derivative of s(p). Factor t(z).
(z - 3)*(z - 2)**2*(4*z + 1)/3
Let t(x) = x**2 + 32*x + 192. Let j be t(-9). Let m be j - -19 - 156/(-57). Factor -576/19*p - m - 50/19*p**4 + 360/19*p**3 - 488/19*p**2.
-2*(p - 4)**2*(5*p + 2)**2/19
Solve -336*g**2 + 32*g**3 - 716*g**2 - 28*g**3 = 0.
0, 263
Let q(o) be the first derivative of -26/9*o**3 + 0*o - 92 + 1/3*o**2 + 169/24*o**4. Factor q(p).
p*(13*p - 2)**2/6
Let w = -626 + 654. Suppose 34*d = 20*d + w. Let 0 - d*j**4 + 32/7*j**3 - 22/7*j**2 + 4/7*j = 0. What is j?
0, 2/7, 1
Let d(f) = -301*f + 2107. Let m be d(7). Let v(i) be the second derivative of -12*i + 16*i**3 + m + 1/3*i**4 + 288*i**2. What is j in v(j) = 0?
-12
Suppose -2*n - 5*d = -n + 8, 2*n = -5*d - 6. Suppose -16 = -4*t, -n*s - 2*t + 29 = -71. What is u in -3*u**2 + s - 81 + 65 - 27*u = 0?
-10, 1
Let o(f) be the third derivative of -f**8/896 - f**7/70 - 3*f**6/64 - 148*f**2. Factor o(l).
-3*l**3*(l + 3)*(l + 5)/8
Let d = 446/1045 - -6964/1045. Solve -16*c + 24/11 - 350/11*c**4 + d*c**3 + 98/11*c**5 + 326/11*c**2 = 0 for c.
-1, 2/7, 1, 3
Let n(m) = -16*m**3 - 114*m**2 - 118*m - 5. Let x(j) = 7*j**3 + 57*j**2 + 58*j + 2. Let k(o) = 2*n(o) + 5*x(o). Factor k(g).
3*g*(g + 1)*(g + 18)
Solve 125*h**3 + 97438*h**5 - 360*h**4 + 1072*h**2 - 97434*h**5 + 219*h**3 - 348*h - 712 = 0.
-1, 1, 2, 89
Determine b so that 1/2*b**2 + 0 - 110*b = 0.
0, 220
Let d(u) be the third derivative of 0 + 0*u**3 + 11*u - 1/135*u**5 - 1/540*u**6 + 0*u**4 - 2*u**2. Factor d(k).
-2*k**2*(k + 2)/9
Let d(b) = 8 - 6*b + b**2 + 12*b + 0*b**2. Let t be d(-6). Factor 2 - t*h - 10 - 45*h**3 + 8*h**2 + 41*h**3 + 6*h**2.
-2*(h - 2)**2*(2*h + 1)
Suppose -13*u - 2*u = -90. Let c be (15 - 7 - 1) + (2 - u). Solve 3/2*r**2 + 3/4 - 3/8*r**c - 15/8*r = 0 for r.
1, 2
Let p(c) = 8*c**4 + 3*c**3 + 4*c**2 - 48*c + 38. Let v(j) = 3*j**4 + 2*j**3 + 3*j**2 - 26*j + 20. Let t(s) = -2*p(s) + 5*v(s). What is d in t(d) = 0?
-3, 1, 2, 4
Factor -202*k - 450 + 0*k**3 - 142*k**2 - 157*k + 2*k**3 - 93*k - 142*k.
2*(k - 75)*(k + 1)*(k + 3)
Let h(q) be the third derivative of -1/18*q**4 - 2*q**2 + 1/120*q**6 + 1/45*q**5 - 13*q + 0*q**3 - 2/315*q**7 + 1/1008*q**8 + 0. Factor h(d).
d*(d - 2)**2*(d - 1)*(d + 1)/3
Let t be 208/24 - (-3 - 0)*-2. Let d(c) be the first derivative of 0*c**4 + 48 + 0*c**2 + 0*c - 2/5*c**5 + t*c**3. Factor d(h).
-2*h**2*(h - 2)*(h + 2)
Let t = -353/131 - -3701/1179. Factor -t*d**2 - 8/3*d + 0.
-4*d*(d + 6)/9
Let r = 956 - 951. Let y be ((-72)/60)/((-3)/r). Factor 1/2*p**3 + 1/2*p**y + 0 - p.
p*(p - 1)*(p + 2)/2
Factor -3/4*s**2 - 2598*s - 2249868.
-3*(s + 1732)**2/4
Suppose -i - 76 - 52 = 0. Let a be ((-6)/(-16))/(2/i*-8). Factor 0 - b**a - 1/2*b**4 + 0*b**2 + 0*b.
-b**3*(b + 2)/2
Let l be 9752/3312 + ((-435)/(-54) - 8). Suppose 1/2*n**2 + 7/2*n**l - 9/4 + 7/4*n**4 - 15/4*n + 1/4*n**5 = 0. What is n?
-3, -1, 1
Let y(g) be the first derivative of 2*g**5/35 + 1137*g**4/14 + 30726*g**3 - 323761*g**2/7 - 4196. Factor y(x).
2*x*(x - 1)*(x + 569)**2/7
Let r(v) be the third derivative of -1/3*v**4 + 0*v + 1/90*v**5 + 6*v**2 - 7 - 13/9*v**3. Factor r(q).
2*(q - 13)*(q + 1)/3
Let a = -871 - -879. Let f be 4 - 4*(-1)/a. Find m such that -3*m + f*m**2 + 0 - 3/2*m**4 + 0*m**3 = 0.
-2, 0, 1
Let v(u) be the third derivative of 0 + 13/120*u**5 - 1/12*u**3 + 0*u - 5/32*u**4 - 3/160*u*