*f**3 + 0 - 8/3*f**2 = 0.
-1, 0, 3/4, 5
Let t(v) be the third derivative of -v**7/630 + 49*v**6/360 + 5*v**5/18 - 4*v**2 + 214. Factor t(l).
-l**2*(l - 50)*(l + 1)/3
Let -15*v**2 - v**3 + 135 - 26 + 3 - 7*v + 71*v + 68 = 0. What is v?
-18, -2, 5
Factor 0 - 4/3*r**2 - 176*r.
-4*r*(r + 132)/3
Factor 80*i + 35*i**5 - 38*i**3 - 9*i**4 + 50*i**4 - 40*i - i**3 - 36*i**5 - 41*i**2.
-i*(i - 40)*(i - 1)**2*(i + 1)
Let l(n) be the first derivative of -1/21*n**6 - 1/7*n**4 + 0*n + 3/7*n**2 + 31 + 8/21*n**3 - 8/35*n**5. Let l(c) = 0. What is c?
-3, -1, 0, 1
Determine b, given that 1378 + 21253*b**3 + 202*b - 1483 - 88*b**2 - 21263*b**3 + b**4 = 0.
-7, 1, 15
Let v(g) be the first derivative of 22 - 40/3*g**3 + 0*g + 16*g**2 + 4*g**4 - 2/5*g**5. Factor v(r).
-2*r*(r - 4)*(r - 2)**2
Let h be 0 + ((-2 - 3) + 4 - -5). Find v such that 37*v**2 - 87*v**2 - 5*v**h + 5*v**3 + 50*v**2 = 0.
0, 1
Let n = -156 - -166. Factor -22*y**3 - 4*y**2 - 12*y**4 - 17*y - n + 10 + 16 + 41*y - 2*y**5.
-2*(y - 1)*(y + 1)*(y + 2)**3
Suppose 62*t**2 - 648/5 - 6/5*t**3 + 768/5*t = 0. Calculate t.
-3, 2/3, 54
Find q, given that 18*q**3 + 90*q - 129/2*q**2 - 42 - 3/2*q**4 = 0.
1, 2, 7
Let z(q) be the first derivative of -1/2*q**2 + 262 - 5*q + 1/4*q**4 + 5/3*q**3. Factor z(c).
(c - 1)*(c + 1)*(c + 5)
Let m(v) be the third derivative of -v**5/15 + 46*v**4 - 12696*v**3 - 158*v**2 - 2. Factor m(b).
-4*(b - 138)**2
Let f(j) be the third derivative of 0*j**3 + 1/360*j**5 - 1/1260*j**7 + 1/36*j**4 + 314*j**2 + 0*j - 1/180*j**6 + 0. Solve f(i) = 0.
-4, -1, 0, 1
Let t(p) be the third derivative of 17/144*p**4 + 0*p - 127*p**2 + 35/72*p**3 - 1/720*p**5 + 0. Factor t(z).
-(z - 35)*(z + 1)/12
Suppose 11 + 352 = 11*o. Find a, given that 27*a**3 - 44*a**3 + o*a - 18 + 20*a**3 - 18*a**2 = 0.
1, 2, 3
Let c = 1348 + -2554. Let u = c + 3619/3. Factor 1/6*x**2 - u + 1/6*x.
(x - 1)*(x + 2)/6
Let r be (18/1539*19)/(23/207). Let -18/11*p + 2/11*p**r + 16/11 = 0. Calculate p.
1, 8
Suppose -c - 1 = -o, -1 = 3*o - 4*c - 0. Let g be o/(25/4) - (-33)/(-60). Factor -g*w**3 + 1/4*w + 0 + 0*w**2.
-w*(w - 1)*(w + 1)/4
Let h(j) be the first derivative of 5*j**3/3 - 111*j**2/2 + 106*j + 1018. Factor h(g).
(g - 1)*(5*g - 106)
Let g(f) be the third derivative of -f**9/332640 + f**8/13860 - f**7/3960 - 3*f**5/20 + 3*f**2 - 11. Let r(a) be the third derivative of g(a). Factor r(m).
-2*m*(m - 7)*(m - 1)/11
Suppose -x + 14 = 9. Suppose 0 = 5*z + 5*g - 10, -5*z - x*g = -7*g - 10. Factor -6*d - 6*d**2 - d**2 + 9*d**z + 0*d**2.
2*d*(d - 3)
Factor 39/2*q**2 + 36 + 1/2*q**4 - 127/2*q + 15/2*q**3.
(q - 1)**2*(q + 8)*(q + 9)/2
Suppose 0 = a - 22 + 17. Suppose 4*r = 2*i - 26, 3*r = 6*i - i - 72. Let -2 + 6*p**2 + 0 + i*p + 3*p**a + 3*p**4 - 18*p**3 + 0 - 7 = 0. Calculate p.
-3, -1, 1
Let c = -20 + 11. Let r(v) = -v. Let h be r(c). Factor -15*q**3 + h*q + 7*q - q + 10 - 5*q**4 - 5*q**2.
-5*(q - 1)*(q + 1)**2*(q + 2)
Let c be (-3)/(-57) + (-4400)/(-3040). Let f = -291 - -295. Factor -6 + 3/4*x**f - c*x**2 - 9/4*x**3 + 9*x.
3*(x - 2)**2*(x - 1)*(x + 2)/4
Let i(f) = 3*f**2 + 3*f + 28. Let z(a) = -a**2 - 14. Let o(l) = 2*i(l) + 5*z(l). Let g be o(-8). Factor 0 + 8/17*h**g + 2/17*h**3 + 8/17*h.
2*h*(h + 2)**2/17
Let o(w) = 9*w**3 - 17*w**2 + 2*w - 3. Let h be o(2). Let z(l) be the second derivative of 0 - 3/20*l**h - 8*l - 3/8*l**4 + 3/4*l**3 + 3/2*l**2. Solve z(d) = 0.
-2, -1/2, 1
Let k(z) be the second derivative of -2*z - 1/63*z**7 + 0*z**2 + 0*z**3 - 7/90*z**6 + 1/12*z**5 + 1/9*z**4 + 0. Let k(u) = 0. What is u?
-4, -1/2, 0, 1
Let k(d) = -d**3 + 12*d**2 + 29*d - 5. Let w be k(14). Suppose w*f = 120 + 33. Solve 6*m + 4*m**2 - 7*m - 6*m + 36 - f*m = 0.
3
Let p = 4005916/2804151 - -2/400593. Factor -6/7*d**4 - 4/7*d**2 + 0*d + 0 - p*d**3.
-2*d**2*(d + 1)*(3*d + 2)/7
Let z(i) be the third derivative of 5*i**8/168 + 44*i**7/105 - 19*i**6/10 + 38*i**5/15 - 11*i**4/12 - 5234*i**2 - 2*i. Let z(v) = 0. What is v?
-11, 0, 1/5, 1
Let u = 47143 + -47138. Solve -8/9*z**3 + 28/9*z**2 + 22/9*z + 4/9 - 32/9*z**4 - 14/9*z**u = 0 for z.
-1, -2/7, 1
Factor -1 + 1 + 1102*f**2 + 324*f**3 - 1734*f**2 + 2*f**4 - 6*f**4.
-4*f**2*(f - 79)*(f - 2)
Let y(q) be the second derivative of -q**6/75 + 2*q**5/5 - 41*q**4/10 + 244*q**3/15 - 28*q**2 + 352*q + 3. Suppose y(o) = 0. What is o?
1, 2, 7, 10
Let a(o) be the first derivative of -52/27*o**3 + 79 + 1/18*o**4 + 169/9*o**2 + 0*o. Factor a(l).
2*l*(l - 13)**2/9
Factor -368/7 + 370/7*p - 2/7*p**2.
-2*(p - 184)*(p - 1)/7
Let b = -96/2909 + 128668/20363. Suppose -b*h**2 + 0 - 6*h - 2/7*h**3 = 0. Calculate h.
-21, -1, 0
Let r = 5057/360 + -1259/120. Factor -2/9*a**2 + r + 0*a.
-2*(a - 4)*(a + 4)/9
Let q = 217 - 214. Factor s**2 - 2*s + 21*s - 3*s + q*s**2.
4*s*(s + 4)
Factor 19/2*o**2 - 271 + 5147/2*o.
(o + 271)*(19*o - 2)/2
Let s(m) be the second derivative of 1/36*m**4 + 11*m + 1/18*m**3 + 5 + 0*m**2. Let s(c) = 0. What is c?
-1, 0
Let a(f) be the third derivative of 0*f - 6*f**3 + 1 + 1/4*f**4 + 45*f**2 + 1/30*f**5. Factor a(b).
2*(b - 3)*(b + 6)
Let u be 10/50 - 70/(-25). Let s(r) be the third derivative of 31*r**2 + 0 + 0*r + 0*r**5 + 0*r**u - 1/10*r**6 + 2/105*r**7 + 0*r**4. Factor s(a).
4*a**3*(a - 3)
Suppose -2*s = -2*k + 6*k + 382, -5*s = -25. Let w be k/21 - -5 - 14/(-3). Factor -19*p**4 - 8*p**w + 5*p**3 - 17*p**3 + p**4 - 2*p**2.
-2*p**2*(p + 1)**2*(4*p + 1)
Let x be -18 - (-38 - (-14 - 1)). Let d(p) be the first derivative of 32 + 0*p**2 - 20/3*p**6 + 0*p**3 + 0*p - 2/5*p**x + 1/2*p**4. Find j, given that d(j) = 0.
-1/4, 0, 1/5
Let v(u) = 144*u**2 + 729*u + 900. Let r(a) = 29*a**2 + 146*a + 180. Let z(y) = -24*r(y) + 5*v(y). Factor z(n).
3*(n + 4)*(8*n + 15)
Suppose -42 + 57 = 5*i. Determine n so that i*n**2 - 2*n - 5*n**2 - 2*n**2 + 6*n = 0.
0, 1
Let a = 72 + -69. Let y be -1 + 3 + 1 + a. Factor -r**3 + 11 - 17 + y - 3*r**2.
-r**2*(r + 3)
Let c(f) = 368 + 13*f**2 - 4*f - 365 + f**3 - 5*f**3. Let d be c(3). Let 1/3*q - 2/3*q**2 + d + 1/3*q**3 = 0. What is q?
0, 1
Let o be -5 + (-2 - (-13 + 0)) - (-56)/(-10). Solve 4/5*u**2 + o*u - 4/5 - 2/5*u**3 = 0.
-1, 1, 2
Let j(p) = p**3 - 2*p**2 - 3*p + 3. Let q be j(3). Factor 3 - 3 - 2*s**3 - 19*s - 7 - q - 11*s**2.
-(s + 1)*(s + 2)*(2*s + 5)
Let j(f) be the first derivative of -7/5*f**2 + 24/5*f + 2/15*f**3 - 41. Suppose j(i) = 0. What is i?
3, 4
Let z = 188 - 185. Let d(j) be the third derivative of 0 + 5/48*j**4 + 9*j**2 - 5/48*j**5 - 1/32*j**6 + 0*j + 0*j**z. Let d(v) = 0. Calculate v.
-2, 0, 1/3
Let o(m) = 3*m**3 - 2*m**2 + m + 3. Let p(g) = -20*g**3 - 32*g**2 - 264*g - 24. Let i(f) = 8*o(f) + p(f). Factor i(l).
4*l*(l - 16)*(l + 4)
Let t(a) = 57*a**2 + 42*a + 93. Let i(w) = 37*w**2 + 42*w + 94. Let x(d) = -3*i(d) + 2*t(d). Let x(l) = 0. What is l?
-2, 16
Let f = 1229 - 1224. Suppose -5*j = -f*c + 113 - 93, -5*c + 16 = -3*j. Determine p so that -5*p + 5/2 + 5/2*p**c = 0.
1
Find i such that 471*i**3 - 925*i**2 - 114*i**4 + 353*i**3 + 97*i**2 + 118*i**4 = 0.
-207, 0, 1
Let c(f) be the second derivative of f**6/1620 - 7*f**5/30 + 147*f**4/4 + 11*f**3/6 + 7*f**2/2 - 179*f. Let l(b) be the second derivative of c(b). Factor l(y).
2*(y - 63)**2/9
Suppose 598 = -981*z + 2560. Find f, given that -4/5*f**z + 48/5 + 16/5*f = 0.
-2, 6
Let k be 11 + (189/(-28) - (-8)/(-16)*8). Suppose 4*r + 16 + k*r**2 = 0. Calculate r.
-8
Let n = 5608/15093 - 2/1677. Let b(u) be the first derivative of 7 - 2/45*u**5 - n*u**3 + 2/9*u**2 + 0*u + 2/9*u**4. Factor b(p).
-2*p*(p - 2)*(p - 1)**2/9
Let d(j) be the second derivative of -2*j**3 - 7/12*j**4 + 11*j + 1/60*j**6 + 0*j**5 - 10*j**2 + 0. Let y(k) be the first derivative of d(k). Factor y(w).
2*(w - 3)*(w + 1)*(w + 2)
Let q = 28 - 10. Let h(f) = f**3 - 17*f**2 - 17*f - 16. Let z be h(q). Suppose -3*o**3 + 4*o**4 - 3*o**4 - 3*o**2 + o**3 + 4*o**z = 0. What is o?
0, 1
Let q be (-5 - -7)/(6/51). Factor 11*r - 24 + 189*r**2 - 85*r**2 - 92*r**2 + q*r.
4*(r + 3)*(3*r - 2)
Let r = 6 + -11. Let z be r/(-1) + 0 + -33 + 32. Suppose -8*p**3 - 9*p**3 + 2*p**3 + 10*p**2 + 5*p**z = 0. What is p?
0, 1, 2
Let u = 682 - 680. Suppose 7*s**5 + 160*s + 46 + 80*s**u + 34 - 20*s**3 - 1240*s**4 + 1215*s**4 - 12*s**5 = 0. What is s?
-2, -1, 2
Let q(c) be the first derivative of -5/3*c**3 + 35*c + 130 + 15*c**2. Solve q(h) = 0 for h.
-1, 7
Let x(y) = -y**2