 - 3*h**5 + 3*h**5 = 0.
-1, 0, 1
Let j(t) = t**2 - 9*t - 13. Suppose -6 - 64 = -5*a + 4*q, 5*a + 5*q - 70 = 0. Let w be j(a). Suppose 1 + 4 + 23*r**2 - 40*r + w*r**2 = 0. What is r?
1/4
Factor -184/15*r - 376/15 + 2/15*r**2.
2*(r - 94)*(r + 2)/15
Suppose 0 = -4*n - 4*l - 48, 3*n - 74*l + 69*l - 76 = 0. Find u such that n*u**2 + 3/2*u**3 - 7/4*u - 2*u**4 + 1/4*u**5 + 0 = 0.
-1, 0, 1, 7
Let a(b) = -471*b**2 + 2328*b + 137. Let k be a(5). What is c in 0*c + 3/4 - 3/4*c**k = 0?
-1, 1
Let s(k) be the third derivative of 1/280*k**6 - 73*k**2 + 0*k + 0 - 1/70*k**5 - 3/56*k**4 + 0*k**3. Let s(y) = 0. What is y?
-1, 0, 3
Let u be 6/48 - 93/(-24). Solve -u - 235*r - 8 - 215*r**3 + 2 - 440*r**2 = 0 for r.
-1, -2/43
Let p(v) be the third derivative of -v**5/210 - 23*v**4/12 + 326*v**3/21 - 5598*v**2 - 2*v + 2. Solve p(k) = 0 for k.
-163, 2
Let u(n) = -n**4 + 2050*n**3 + 350878*n**2 - 2. Let l(p) = 2*p**4 + p**3 + 7*p**2 + 1. Let z(d) = -2*l(d) - u(d). Find j, given that z(j) = 0.
-342, 0
Let p(t) be the third derivative of t**5/20 + 3*t**4 - 217*t**3/2 + 2*t**2 - 3381. Factor p(c).
3*(c - 7)*(c + 31)
Let d be 16/10*(-80)/(-32). Let n(x) be the second derivative of -8/39*x**3 + 3/13*x**2 + 7/78*x**d + 12*x + 0 - 1/65*x**5. Factor n(p).
-2*(p - 1)**2*(2*p - 3)/13
Let w(g) be the third derivative of g**8/2016 + 19*g**7/35 + 1083*g**6/5 + 164616*g**5/5 + 628*g**2 - g. Factor w(u).
u**2*(u + 228)**3/6
Let b be 6/(-8)*(5 - (6 + 3)). Find g, given that 5*g + 12*g + 8*g - g - 12*g**2 - 9*g**b - 12*g + 3*g**5 + 6*g**4 = 0.
-2, 0, 1
Let r be (0 - 3/(-21)) + ((-144685)/1729 - -84). Factor 0 - r*t**4 + 0*t**3 + 8/13*t**2 + 2/13*t**5 + 0*t.
2*t**2*(t - 2)**2*(t + 1)/13
Let x(i) be the second derivative of i**7/6300 + i**6/180 + 7*i**5/100 + i**4/6 - 61*i**2 - 20*i - 2. Let s(t) be the third derivative of x(t). Factor s(y).
2*(y + 3)*(y + 7)/5
Let d be (-2)/72 + (-230413)/(-45828). Find i, given that -2/5*i**2 + 2*i**3 - 1 - 11/5*i + 1/5*i**d + 7/5*i**4 = 0.
-5, -1, 1
Let f(p) be the second derivative of 2 - 12*p - 6889/11*p**2 - 1/66*p**4 - 166/33*p**3. Let f(l) = 0. What is l?
-83
Let f be 2/6*0 + 730/3285. Factor f*n**5 + 2/3*n**3 + 2/3*n**4 + 0*n + 2/9*n**2 + 0.
2*n**2*(n + 1)**3/9
Let x be (-3874)/(-195) + 4/30. Factor -22 + 3*q**2 - 16*q + 59*q + 59 + 23 + x*q.
3*(q + 1)*(q + 20)
Let t = 7 + -5. Determine p, given that 87*p**t + 4*p**3 - 5*p + p - 57*p**2 - 30 = 0.
-15/2, -1, 1
Let j(z) be the second derivative of 5*z**4/12 - 100*z**3/3 + 1995*z**2/2 - 9*z - 102. Solve j(r) = 0.
19, 21
Suppose 3*x**2 - 952*x + 444 + 608*x + 467*x = 0. What is x?
-37, -4
Let o(i) be the third derivative of 23*i**2 + 2/3*i**3 + 0*i + 1/180*i**5 + 0 - 1/9*i**4. Find x such that o(x) = 0.
2, 6
Let r(a) be the first derivative of -2*a**6/3 + 76*a**5/5 - 119*a**4 + 1124*a**3/3 - 360*a**2 + 1302. Suppose r(l) = 0. What is l?
0, 1, 4, 5, 9
Suppose 4097*r - 48 = 4085*r. Factor 3/7*g**r - 3/7*g + 9/7*g**2 + 0 - 9/7*g**3.
3*g*(g - 1)**3/7
Let c(y) be the second derivative of 2*y**3 + 0 + 7/5*y**5 - 4*y**2 + 165*y + 4*y**4. Factor c(h).
4*(h + 1)**2*(7*h - 2)
Let h be ((-8)/(-5))/1*(-60)/(-25200)*525. Suppose 4 - h*t**3 - t**2 + 16/3*t + 1/3*t**4 = 0. Calculate t.
-1, 2, 6
Factor 1353*j - 990 - 33*j**2 - 1374*j + 36*j**2.
3*(j - 22)*(j + 15)
Let k(u) be the third derivative of u**7/630 + u**6/20 - u**5/3 - u**4/8 - u**3/2 - 85*u**2. Let s(m) be the second derivative of k(m). What is p in s(p) = 0?
-10, 1
Let r be (4 - 1)/((-24)/(-40)). Factor 20*d + 2*d - 57*d + 95 - 65*d + r*d**2.
5*(d - 19)*(d - 1)
Suppose -65*p + 41795 = -13845. Let z = p + -4278/5. Factor 4/5*w + z - 4/5*w**3 - 2/5*w**2.
-2*(w - 1)*(w + 1)*(2*w + 1)/5
Let m(g) be the second derivative of -g**4/3 - g**3/3 - 24*g**2 + 36*g. Let z(a) = -a**2 + a - 1. Let j(p) = m(p) - 6*z(p). Factor j(l).
2*(l - 7)*(l + 3)
Let g(i) be the third derivative of -i**2 + 6859/18*i**3 + 0*i - 1 + 361/24*i**4 + 19/60*i**5 + 1/360*i**6. Factor g(l).
(l + 19)**3/3
Let s be (-3)/(-6) + 18/4. Suppose 4*x + 3*t + 1 = 0, 4*t + 33 = s*x + 11. Factor 25*y**2 - 12*y - x*y + 9*y.
5*y*(5*y - 1)
Suppose 96*n + 324 = 150*n. Let x(c) be the third derivative of 0*c + 1/20*c**n + 0*c**4 + 0*c**3 - 1/70*c**7 - 17*c**2 + 0 - 1/20*c**5. Factor x(q).
-3*q**2*(q - 1)**2
Let q(y) be the first derivative of 15*y**2 - 18/5*y**5 - 50*y - 7*y**4 - 1/3*y**6 + 68/3*y**3 - 20. What is i in q(i) = 0?
-5, -1, 1
Let r = -88/641 + 1081/3205. Let -2/5 + 3/5*v**3 + r*v**4 + 1/5*v**2 - 3/5*v = 0. What is v?
-2, -1, 1
Factor 10 - 2645*u**2 + 22434*u - 48175*u + 23106*u.
-5*(u + 1)*(529*u - 2)
Let c = 2292894/5 + -458572. Determine d so that -2/5*d**5 + 0 - 28/5*d - 86/5*d**2 - c*d**4 - 18*d**3 = 0.
-14, -1, 0
Let v(q) be the first derivative of 2/13*q**4 - 2/65*q**5 + 22/39*q**3 + 6/13*q**2 + 0*q + 177. Find x such that v(x) = 0.
-1, 0, 6
Suppose -5*l + 5 = 0, t = -2*t + 4*l + 1199. Suppose 10*d = t + 9. Factor 16 + 24*g - 2*g**2 - d*g + 23*g + 4.
-2*(g - 5)*(g + 2)
Let -11074478 + 24075*q + q**2 - 6*q**2 - 4731130 - 2215*q - 8087372 = 0. What is q?
2186
Let k = 11 - 14. Let l(m) = -3*m + 3. Let c be l(k). Factor -13*d**3 + 42*d**3 + 15*d**2 - 75*d**2 + c*d - 2*d**3.
3*d*(d - 2)*(9*d - 2)
Suppose -z + 14 = -2*w, 0 = 4*z + 2*w - 6. Solve -38*y**3 - 400 - 240*y + 44*y**2 + 62*y**3 - 7*y**4 + 3*y**z = 0.
-2, 5
Let r(n) = 2*n**2 - 11*n + 8. Let c = 14 - 36. Let q(o) = -8*o**2 + 43*o - 32. Let b(i) = c*r(i) - 6*q(i). Find u such that b(u) = 0.
2
Let n = 7 - 2. Suppose -3*d + 4*l + 27 = 0, -3*l = 4*d - 6 - n. Find k such that -165*k**3 + 7*k**4 - 200*k**2 + 38*k**4 - 95*k**4 - d*k**5 - 80*k = 0.
-4, -1, 0
Suppose 0 = -2*c + b + 4, 4*b - 28 = -3*c. Let v be (c/33)/(36/216). Factor 2/11*w**4 + 0 + 4/11*w + 10/11*w**2 + v*w**3.
2*w*(w + 1)**2*(w + 2)/11
Let x be (-21 + -3)*12/(-18). Factor -2*t**3 + 4*t**2 - x*t + t**3 + 8*t**2 - t**3.
-2*t*(t - 4)*(t - 2)
Let m(i) be the first derivative of 4/3*i**3 + 0*i + 15 - 2*i**2 + 3/4*i**4 + 1/6*i**6 - 4/5*i**5. Determine b so that m(b) = 0.
-1, 0, 1, 2
Let d(g) be the second derivative of 21*g**5/20 + 181*g**4/4 + 149*g**3/2 - 75*g**2/2 + 16129*g. Determine j so that d(j) = 0.
-25, -1, 1/7
Let y(i) be the third derivative of -i**6/900 + 7*i**5/300 + 3*i**4/10 + 19*i**3 - 31*i**2. Let w(q) be the first derivative of y(q). Factor w(p).
-2*(p - 9)*(p + 2)/5
Factor 50*v**3 + 224 - 466*v + 45*v**3 + 34*v**2 - 91*v**3.
2*(v - 7)*(v + 16)*(2*v - 1)
Factor -1647007*i + 3249 + 815 + 2*i**3 + 1008*i**2 + 1642951*i.
2*(i - 2)**2*(i + 508)
Let j = -5 + 9. Let d be (j + -2)/((-14)/(-42)). Factor d*b**4 + 0 + 0*b**2 - 12/5*b**3 + 0*b.
6*b**3*(5*b - 2)/5
Suppose 4*v = 2*d + 12 + 40, -4*v - 4*d + 52 = 0. Suppose 7*l - v*l = 2*l. Suppose l + 0*u + 2/9*u**3 + 2/3*u**2 = 0. What is u?
-3, 0
Suppose -2*m + h + 20 = 0, -5*m - 4*h + 58 = -5. Let f be (12/(-10))/(-4*(-12)/(-160)). What is u in -29*u - 4*u**5 + m*u + 18*u + f*u**4 = 0?
0, 1
Let m(g) be the first derivative of 8*g**6/3 + 688*g**5/5 + 1361*g**4 - 42832*g**3/3 + 19200*g**2 - 9216*g - 741. Determine t, given that m(t) = 0.
-24, 1/2, 4
Let s(h) be the first derivative of 120*h + 182*h**2 - 146*h**3 + 185 + 105/4*h**4 + 4/5*h**5. Factor s(k).
(k - 2)**2*(k + 30)*(4*k + 1)
Suppose 45*w - 144*w - 44 = -539. Let b(s) be the third derivative of 0*s + 19*s**2 + 1/21*s**3 + 0 - 1/420*s**6 + 1/70*s**w - 1/28*s**4. Solve b(p) = 0.
1
Let k(p) be the third derivative of -p**5/12 - 1225*p**4/24 - 2*p**2 + 4*p - 204. Factor k(j).
-5*j*(j + 245)
Let b(i) = 15*i**3 + 93*i**2 + 90*i + 15. Let g = 539 + -542. Let r(f) = 31*f**3 + 186*f**2 + 179*f + 29. Let d(t) = g*r(t) + 5*b(t). Let d(o) = 0. What is o?
-4, -1, -1/6
Let r(g) = -2060*g + 24722. Let h be r(12). Factor 1/2*j**3 - 1/2*j + h*j**2 - 2.
(j - 1)*(j + 1)*(j + 4)/2
Let y = 24717 + -123583/5. Solve 3/10*s**2 - y + 2/5*s - 2/5*s**3 + 1/10*s**4 = 0.
-1, 1, 2
Suppose -906*p = -944*p. What is o in p*o + 4/9*o**2 + 0 + 0*o**4 + 2/3*o**3 - 2/9*o**5 = 0?
-1, 0, 2
Suppose 581 = 6*x - 43. Suppose 4*r = -4*j - 0*r + 88, 4*j - 4*r - x = 0. Let -27*v**5 + j*v**5 - 11*v**3 - 12*v**4 + 2*v**3 = 0. What is v?
-3, -1, 0
Let u(o) be the third derivative of -1/2*o**3 + 0*o - 13/96*o**4 + 1/480*o**6 + 26*o**2 + 0*o**5 + 0. Factor u(l).
(l - 4)*(l + 1)*(l + 3)/4
Suppose 6 = 2*o - 0, -5*