*i**3 + 25*i - u*i - 10*i + 22*i**2 = 0.
-1/4, 0, 3
Let k(a) be the second derivative of 22*a**4 - 134*a**3/3 + 2*a**2 - 1814*a. Let k(v) = 0. What is v?
1/66, 1
Let i(u) = 132*u + 1323. Let k be i(-10). Let n(r) be the first derivative of 3/2*r**2 - r**k - 3/4*r**4 + 3*r + 12. Let n(x) = 0. Calculate x.
-1, 1
Let y(g) be the second derivative of -g**6/15 + 11*g**5/10 - 5*g**4/6 - 47*g**3/3 - 30*g**2 - 6*g - 4. Factor y(l).
-2*(l - 10)*(l - 3)*(l + 1)**2
Let u(g) be the third derivative of -g**5/140 - 5*g**4/56 + 33*g**3/7 - 8352*g**2. Factor u(l).
-3*(l - 6)*(l + 11)/7
Let k(q) be the third derivative of q**5/210 - 139*q**4/28 + 830*q**3/21 - 187*q**2 + 7. Find f such that k(f) = 0.
2, 415
Let o(p) be the second derivative of p**7/70 - 12*p**6/25 + 261*p**5/100 + 35*p**4 + 294*p**3/5 - 3906*p. What is m in o(m) = 0?
-3, -1, 0, 14
Suppose 0 = -l - 16*w + 11*w + 9700, 0 = -4*l + w + 38716. Solve l*s**3 + 6600*s**2 + 70 + 32*s + 154*s + 283*s + 10 - 6655*s**4 + 811*s = 0.
-2/11, 2
Find j, given that 4*j**2 - 231/2*j - 29/2 = 0.
-1/8, 29
Let a(n) be the third derivative of n**6/240 + 7*n**5/120 - 7*n**4/16 - 9*n**3/4 - 2139*n**2. Factor a(l).
(l - 3)*(l + 1)*(l + 9)/2
Let x(p) be the third derivative of p**3 - 9/20*p**5 - 3/8*p**4 + 0 + 0*p + 40*p**2. Solve x(q) = 0 for q.
-2/3, 1/3
Let a = -96 + 94. Let o(g) = 11*g**2 + 7*g + 83. Let c(l) = -3*l**2 - 3*l - 28. Let q(j) = a*o(j) - 7*c(j). Factor q(y).
-(y - 10)*(y + 3)
Let w(f) be the third derivative of 0*f**3 + 1/36*f**5 + 0 + 0*f**4 - 1/40*f**6 + 1/210*f**7 + 124*f**2 + 0*f + 1/1008*f**8. Factor w(a).
a**2*(a - 1)**2*(a + 5)/3
Let r(f) be the second derivative of -3*f**5/10 - 13*f**4/4 + 23*f**3/2 - 12*f**2 + 1163*f. Let r(s) = 0. What is s?
-8, 1/2, 1
Let g(o) = 2 + o + 10 - o + 3*o. Let c be g(-3). Factor n**3 + 9*n**2 - 5*n**3 - 12 + 4*n**3 + c*n**3.
3*(n - 1)*(n + 2)**2
Let l(q) be the first derivative of -q**6/4 - 3*q**5/10 + 9*q**4 + 44*q**3 + 84*q**2 + 72*q - 9965. Find z such that l(z) = 0.
-2, -1, 6
Suppose 4*b + 16 = 0, 2*h + 2*b = 3*b + 8. Suppose -18*y**h + 7*y**4 - 15*y**5 + y + 2*y + 32*y**3 + 11*y**4 - 20*y**3 = 0. Calculate y.
-1, 0, 1/5, 1
Let h(r) = r**2 - 36*r + 315. Let k be h(13). Let w(z) be the second derivative of 0 + k*z + 0*z**2 + 1/10*z**4 + 0*z**3 - 1/50*z**5. Let w(s) = 0. Calculate s.
0, 3
Let v(z) = -2*z**3 + z**2 + 31*z - 12. Let l(o) = o**3 - 15*o + 6. Let h(s) = 9*l(s) + 4*v(s). Factor h(y).
(y - 1)**2*(y + 6)
Let l = -739 + 742. Let p be l/(-2)*464/(-290). Factor 0*k + p*k**2 + 0 + 4/5*k**3.
4*k**2*(k + 3)/5
Let t(q) be the first derivative of 6*q - 3/5*q**5 - 60 - q**3 + 9/4*q**4 - 9/2*q**2. Solve t(i) = 0 for i.
-1, 1, 2
Suppose -3*l**3 + 0 - 816/5*l + 2046/5*l**2 = 0. What is l?
0, 2/5, 136
Find d, given that 16/3*d + 28/9*d**2 + 0 - 4/9*d**4 + 2/9*d**5 - 26/9*d**3 = 0.
-3, -1, 0, 2, 4
Let v(z) = 2*z**3 - 12*z**2 - 19*z + 143. Let l be v(6). Suppose l*w - 144 = 1. Factor -w*p**2 + 21*p + 1/3*p**3 - 49/3.
(p - 7)**2*(p - 1)/3
Suppose -41613*r = -41539*r. Suppose r - 2*u**2 + 2*u**3 + 0*u - 1/2*u**4 = 0. What is u?
0, 2
Suppose -3 = 2*r - 9. Find z, given that -13*z**2 + 141*z**2 + z**3 - 2*z**3 - 176*z - r*z**3 - 12*z**4 + 64 = 0.
-4, 2/3, 1, 2
Find a, given that -311/7*a**3 + 0 + 367/7*a**2 - 61/7*a + 5/7*a**4 = 0.
0, 1/5, 1, 61
Let s be ((-98)/56)/(553/(-948)). Determine o, given that -20/9*o**s - 2*o**2 - 2/9*o**4 + 0*o + 0 = 0.
-9, -1, 0
Suppose -106*h - 37818 = -128*h. Let g = -1719 + h. Factor 0 + 0*c**3 - 2/9*c**5 + 0*c - 4/9*c**4 + g*c**2.
-2*c**4*(c + 2)/9
Let s(w) = 2*w**3 + 94*w**2 - 154*w + 14. Let d(i) = 2*i**2 - i + 1. Let g(m) = 28*d(m) - 2*s(m). Factor g(p).
-4*p*(p - 2)*(p + 35)
Let y(c) be the third derivative of -1/8*c**4 + c**2 - 14 + 1/10*c**5 + 0*c + 0*c**3. Factor y(f).
3*f*(2*f - 1)
Let k be (-1)/(-6) - (-4 + (-226)/12). Let s be -5 - ((-175)/140 - k/4). Factor -1/3*r**s + 1/3*r**3 - 1/3*r + 1/3.
(r - 1)**2*(r + 1)/3
Let f(p) be the second derivative of -42*p + 0 - 1/56*p**7 + 2*p**3 + 0*p**2 + 1/2*p**4 - 1/5*p**6 - 9/16*p**5. Determine r, given that f(r) = 0.
-4, -1, 0, 1
Let o = -69990 - -69993. Find j, given that 0 + 1/2*j - 1/2*j**o + 0*j**2 = 0.
-1, 0, 1
Determine r, given that 96/11*r + 194/11*r**2 + 0 + 2/11*r**4 + 100/11*r**3 = 0.
-48, -1, 0
Let v(f) be the third derivative of -f**5/120 + 31*f**4/48 + 11*f**3/2 - 12*f**2 + 10. Factor v(k).
-(k - 33)*(k + 2)/2
Let k be (0*(-23)/(-69))/(-2). Determine s so that 0*s + 12/5 + 3/5*s**4 + k*s**3 - 3*s**2 = 0.
-2, -1, 1, 2
Factor -72 + 1279*i - 424*i**2 - 1651*i - 75*i**3 - 86*i**2.
-3*(i + 6)*(5*i + 2)**2
Let r = 201527 - 3425955/17. Solve 4/17*u + 6/17 - 8/17*u**2 + 2/17*u**4 - r*u**3 = 0.
-1, 1, 3
Let m(r) be the second derivative of -27/4*r**2 + 27/80*r**5 + 11/2*r**4 + 61/8*r**3 + 12 - 6*r. Find u such that m(u) = 0.
-9, -1, 2/9
Let k = 97817 - 293450/3. Factor y - k*y**3 - 2/3*y**2 + 0.
-y*(y - 1)*(y + 3)/3
Let q be 27/(-99) - 360/(-110). Let k be (38 + -10)/(q - -3). Let -8/3 + k*a**2 - 8*a = 0. Calculate a.
-2/7, 2
Solve 11*n**2 + 1/2*n**3 + 20*n + 0 = 0 for n.
-20, -2, 0
Factor -3/7*k**3 - 226875/7*k + 0 - 1650/7*k**2.
-3*k*(k + 275)**2/7
Let v(i) be the third derivative of i**8/112 + 9*i**7/35 + 9*i**6/10 - 13*i**5/2 + 75*i**4/8 + i**2 - i - 1638. Find c, given that v(c) = 0.
-15, -5, 0, 1
Let k(b) be the third derivative of b**7/3780 - 31*b**6/1080 + b**5/6 + 77*b**4/6 - 282*b**2. Let d(c) be the second derivative of k(c). Factor d(r).
2*(r - 30)*(r - 1)/3
Let i(q) = 2*q**4 + 11*q**3 + 85*q**2 + 13*q + 6. Let u(a) = a**4 + 12*a**3 + 87*a**2 + 34*a + 4. Let o(x) = -6*i(x) + 9*u(x). Factor o(k).
-3*k*(k - 19)*(k + 1)*(k + 4)
Let z(a) = -135*a - 2295. Let b be z(-17). Let d(o) be the third derivative of b*o + 9*o**2 + 0 + 1/8*o**4 - 1/40*o**6 - o**3 + 1/10*o**5. Factor d(i).
-3*(i - 2)*(i - 1)*(i + 1)
Let x(m) be the third derivative of -1/70*m**6 + 2*m**2 + 0*m**3 + 1/1470*m**7 - 9/140*m**5 + 0 - 1/12*m**4 + m. Determine b, given that x(b) = 0.
-1, 0, 14
Let 7615*t**3 - 296 + 8 + 2*t**4 + 296*t - 7689*t**3 + 64*t**2 = 0. What is t?
-2, 1, 2, 36
Let z(p) = -3*p**2 + 46*p - 47. Suppose -k - 7 = -l - 9, 3*k + 5*l = 30. Let c(f) = 6*f**2 - 91*f + 95. Let o(q) = k*z(q) + 2*c(q). Factor o(g).
-3*(g - 15)*(g - 1)
Let v(g) be the third derivative of -7*g**6/24 + 187*g**5/12 + 625*g**4/12 + 140*g**3/3 - 1421*g**2. Factor v(z).
-5*(z - 28)*(z + 1)*(7*z + 2)
Suppose -970 = -7*m - 725. Factor m*v + 37*v + 0*v**2 + 8*v**2 - 2*v**2 - 2*v**2.
4*v*(v + 18)
Let d(g) = -g**2 - 10*g - 19. Let a be d(-3). Factor 4096 - 241*q + 11*q**2 - 78*q - 7*q**a + 63*q.
4*(q - 32)**2
Let s(q) be the third derivative of q**6/240 - 19*q**5/40 + 297*q**4/16 - 4235*q**3/12 - 2*q**2 - 2102*q. Factor s(g).
(g - 35)*(g - 11)**2/2
Let q(g) be the second derivative of -17/5*g**3 - 1/20*g**4 - 867/10*g**2 - 78*g + 0. Determine j so that q(j) = 0.
-17
Let y = 2/371213 + 371201/2227278. Suppose -1/2*t**2 + 2/3*t - y = 0. What is t?
1/3, 1
Suppose 4*j + 7948 = -17*r + 21*r, -3978 = 2*j - 3*r. Let n = j + 13903/7. Factor 18/7*u**2 + 0 + n*u**4 - 2/7*u**5 + 0*u - 38/7*u**3.
-2*u**2*(u - 9)*(u - 1)**2/7
Let 2/13*x**2 - 5488/13*x + 3764768/13 = 0. What is x?
1372
Let c(x) be the third derivative of x**5/60 - 11*x**4/24 - 4*x**3/3 - 19*x**2. Let d be c(12). Find u, given that -2*u**2 - 3*u**2 + 5*u**d + 0*u**4 = 0.
-1, 0, 1
Let m(g) be the third derivative of -g**7/70 - 8*g**6/5 - 286*g**5/5 - 480*g**4 - 1800*g**3 - 3*g**2 - 685. Find w such that m(w) = 0.
-30, -2
Let d(j) = -j + 11. Let x be d(17). Let a = x + 41. Determine n so that 34*n**5 - 6*n**4 - 16*n**2 - 14*n**3 - 8*n - 2 - a*n**5 - n = 0.
-2, -1
Let f = -59107 - -59122. Factor -f*h**5 - 5/3*h - 230/3*h**3 + 170/3*h**4 - 10/3 + 40*h**2.
-5*(h - 1)**4*(9*h + 2)/3
Let d(r) = 137*r + 4660. Let x be d(-34). Suppose 9/4 + 6*z**x - 33/4*z + 3*z**3 = 0. Calculate z.
-3, 1/2
Factor 6308 + 5*w**2 + 155*w - 12735 + 6847.
5*(w + 3)*(w + 28)
Let t be ((-46)/(-8))/((-10)/1040). Let m = t + 601. Solve 6*p**2 - 1/2*p**5 + 0 + 3*p**4 - 2*p - 13/2*p**m = 0.
0, 1, 2
Let x be 44/(-18) + (2 - -10)/3. Let j = -242 - -244. Suppose -x*n + 2/9*n**j - 16/9 = 0. Calculate n.
-1, 8
Suppose 0 = 3*k + 270 - 249, 0 = 4*l + k - 1. Let 0 - 64/7*m**l + 4/7*m**4 + 0*m + 60/7*m**3 = 0. What is