(h + 6)**2
Let p(x) be the third derivative of x**5/60 + 5*x**4/24 - 25*x**3/3 + 2*x**2 - 26. Factor p(f).
(f - 5)*(f + 10)
Factor 53/5 - 52/5*w - 1/5*w**2.
-(w - 1)*(w + 53)/5
Let p(l) be the third derivative of -l**6/24 - 61*l**5/4 - 18605*l**4/8 - 1134905*l**3/6 - 26*l**2 - l. Factor p(k).
-5*(k + 61)**3
Let y(s) be the second derivative of -2/21*s**7 + 59*s - 8/3*s**6 - 150*s**4 - 29*s**5 - 432*s**2 + 0 - 360*s**3. Solve y(b) = 0 for b.
-6, -1
Let -34/9*b + 4/9*b**2 + 16/9 = 0. What is b?
1/2, 8
Let c(q) = -q**3 + 5*q**2 + 14*q + 3. Let j be c(7). Solve -53*m**3 + 2*m + j*m**2 + 54*m**3 - 3*m - 3 = 0.
-3, -1, 1
Let s(r) be the second derivative of 2*r**6/3 + 59*r**5/4 - 385*r**4/4 + 45*r**3 + 150*r. Determine t so that s(t) = 0.
-18, 0, 1/4, 3
Suppose 5*l - 264 - 96 = 0. Let p be l/(-105)*-1 - 2/5. Factor 18/7*t**2 + 4/7*t**4 + p + 10/7*t + 2*t**3.
2*(t + 1)**3*(2*t + 1)/7
Let v be 4/2 - 114/(-1). Let u be v/(-12)*-3 + 3. Factor 0*f**4 + 4*f**5 - 17*f**4 - 8*f**4 + u - 48*f - 8*f**2 + f**4 + 44*f**3.
4*(f - 2)**3*(f - 1)*(f + 1)
Solve -78/7*r**2 - 2*r**3 + 44/7*r + 48/7 = 0.
-6, -4/7, 1
Suppose -i - 14 + 13 = -a, -5*a + 3*i + 11 = 0. Suppose 0 + 2/13*b**a - 4/13*b + 0*b**3 - 6/13*b**2 = 0. What is b?
-1, 0, 2
Let o(t) be the first derivative of 3/40*t**5 + 3/2*t - 8 - 3/16*t**4 + 3/4*t**2 - 3/8*t**3. Factor o(s).
3*(s - 2)**2*(s + 1)**2/8
Let w(x) be the third derivative of x**6/540 + x**5/270 - x**4/54 - 2*x**2 + 7. Determine i, given that w(i) = 0.
-2, 0, 1
Let t be 1/(1*(-2)/(-54)). Let q be 1*56/(-21)*(-6)/4. Factor -a**4 + t*a**2 + 2*a**3 - 4*a - q - 52*a**2 + 28*a**2.
-(a - 2)**2*(a + 1)**2
Let u(o) = o**3 - 4*o**2 - 7*o + 3. Let s be u(6). Let c = s - 22. Determine f so that -8 - 41*f - 2*f**3 - c*f**2 + f**2 + 25*f = 0.
-2, -1
Let z(h) be the first derivative of -15/8*h**4 + 0*h - 7/12*h**6 + 1/6*h**3 + 19/10*h**5 - 15 + 1/2*h**2. What is s in z(s) = 0?
-2/7, 0, 1
Factor -228/17*f**2 - 960/17*f - 14/17*f**3 - 256/17.
-2*(f + 8)**2*(7*f + 2)/17
Solve -35 + 25/2*k + 5/2*k**2 = 0 for k.
-7, 2
Let z(j) be the first derivative of -j**4/8 - j**3/2 + 9*j**2/4 + 16*j + 23. Let r(w) be the first derivative of z(w). Factor r(v).
-3*(v - 1)*(v + 3)/2
Let b(m) = -m**2 - 3*m + 24. Let x be b(6). Let a be -5*9/x*2. What is g in -3*g**4 - 4*g**2 + 0 - 6*g**a + 0*g - 1/2*g**5 = 0?
-2, 0
Let w(r) be the first derivative of 2*r**3/3 - 13*r**2 - 136*r - 274. Factor w(z).
2*(z - 17)*(z + 4)
Let v = 30873 + -339599/11. Factor 10/11*k**2 + 2/11*k - v + 4/11*k**3.
2*(k + 1)*(k + 2)*(2*k - 1)/11
Let h = 23 - 15. Let w = h - -31. Let c(f) = 3*f**2 - f - 6. Let m(z) = 19*z**2 - 5*z - 37. Let x(s) = w*c(s) - 6*m(s). Factor x(p).
3*(p - 4)*(p + 1)
Let m be -3*((-4)/18)/(62/372). Let v(j) be the first derivative of -11 + 3*j**2 + 7/4*j**3 - 12*j + 3/16*j**m. Factor v(l).
3*(l - 1)*(l + 4)**2/4
Determine v, given that v**5 - 12*v**4 - 5*v**4 - 73*v + 73*v - v**3 + 17*v**2 = 0.
-1, 0, 1, 17
Let c = -207 - -212. Let r(g) be the third derivative of 1/30*g**c + 4*g**2 + 0*g + 1/18*g**4 + 1/180*g**6 + 0 + 0*g**3. Determine o so that r(o) = 0.
-2, -1, 0
Let c(j) = j**2. Let n(r) = -10*r**2 + 21*r - 6. Let w(u) = 5*c(u) + n(u). Let d(g) = 5*g**2 - 20*g + 5. Let x(k) = 6*d(k) + 5*w(k). Factor x(v).
5*v*(v - 3)
Let o(f) = -10*f**4 - 10*f**3 + 5. Let z(r) = 15*r**4 + 14*r**3 - 7. Let k(i) = -7*o(i) - 5*z(i). Factor k(l).
-5*l**4
Suppose f + f = 3*s + 536, 5*f = -5*s - 860. Let m be (4/16 - (-52)/s)*-12. Find v such that -m*v**2 - 8/11 + 16/11*v = 0.
2/3, 2
Suppose -28 = -2*l + 5*c + 15, 0 = -4*l + 3*c + 65. Find g such that 15 - g**2 - 10*g - 18*g**2 + l*g**2 = 0.
-3, 1
Let i = 180/7 - 1592/63. Let r(t) be the first derivative of -5/9*t**2 - 1/18*t**4 - 8/27*t**3 - i*t + 2. What is l in r(l) = 0?
-2, -1
Factor b**5 - 26*b**3 + 8*b**4 + 2*b**2 - 4*b**4 + 31*b**3.
b**2*(b + 1)**2*(b + 2)
Let o(j) be the first derivative of -5*j**4/4 - 10*j**3/3 + 15*j**2/2 + 145. Find w, given that o(w) = 0.
-3, 0, 1
Let o(u) = -u + 2. Let r be o(1). Let n(x) = 92*x - 3. Let c be n(r). Solve -4*d**3 + 35*d**2 + 45 - d**3 + 14*d - c*d = 0.
1, 3
Let o(z) be the third derivative of 5/16*z**4 + 1/560*z**7 + 1/2*z**3 + 0*z + 0 + 7/320*z**6 - 12*z**2 + 9/80*z**5. Factor o(x).
3*(x + 1)*(x + 2)**3/8
Let i = -81/892 + 2294791/6244. Let n = 368 - i. Solve 4/7*a**4 + n + 4/7*a**3 - 2/7*a - 2/7*a**5 - 8/7*a**2 = 0 for a.
-1, 1, 2
Find m, given that -23 - 6*m**3 + 14*m**2 - 2 - 1 - 11*m + 5*m**3 = 0.
-1, 2, 13
Let l = 11425 + -68549/6. Factor 0 - 1/3*u + l*u**2.
u*(u - 2)/6
What is a in -27/2*a**3 - 57*a**2 - 9 - 105/2*a = 0?
-3, -1, -2/9
Let m be (6 + 11*(-15)/27)/(-1). Let n(k) be the first derivative of m*k**3 + 0*k + 1/3*k**2 + 8. Factor n(f).
f*(f + 2)/3
Suppose -f + 0*f + 3 = 0. Suppose 36*l**2 - 8*l - 31*l**3 + 6*l**3 - f*l**3 = 0. What is l?
0, 2/7, 1
Let n be (2/(-7))/(-1) - 19/(-7). Suppose 9 - 7 - 2*x**2 + 0*x**n - x + x**3 = 0. Calculate x.
-1, 1, 2
Let o be 1/(-3) - (-777)/333. Determine q, given that -4 - 8*q - 1/4*q**4 - 6*q**2 - o*q**3 = 0.
-2
Factor 220/7 - 222/7*x + 2/7*x**2.
2*(x - 110)*(x - 1)/7
Let b(h) = h**5 + h**4 + h**3 + h**2 - 1. Let z(w) = 13*w**4 - 21*w**4 - 6*w**3 - 12*w**3 - 6*w**3 - 4*w**5 + 12*w. Let f(u) = 8*b(u) + z(u). Solve f(y) = 0.
-2, -1, 1
Suppose 44*h - 16 = 42*h + 4*f, -2*f = 3*h. Solve -2/3*l**3 + 0*l + 0 - 2/3*l**4 + 4/3*l**h = 0 for l.
-2, 0, 1
Let n be (-18*20/420)/((-45)/336). Factor -1/10*s**3 - 24/5*s - 3/2*s**2 + n.
-(s - 1)*(s + 8)**2/10
Find w, given that 536/9*w - 17956/9 - 4/9*w**2 = 0.
67
Let n(w) be the third derivative of w**8/4032 - 7*w**5/30 + 10*w**2. Let r(d) be the third derivative of n(d). Solve r(b) = 0 for b.
0
Suppose q - 2*c = 25, 0 = -4*q + 2*c - 24 + 94. Let x(t) = 2*t**2 - 29*t - 15. Let a be x(q). Factor 0 + 4/3*u**2 + 2/3*u**3 + a*u.
2*u**2*(u + 2)/3
Suppose 17*l - 24 = l + 4*l. Factor -4/5*c + l*c**2 + 0.
2*c*(5*c - 2)/5
Let i(m) be the first derivative of 9*m**4 + 28/3*m**3 + 4*m**5 + 19 + 2/3*m**6 + 4*m**2 + 0*m. Factor i(d).
4*d*(d + 1)**3*(d + 2)
Factor 688/7*t - 346/7*t**2 - 136/7 + 18/7*t**3.
2*(t - 17)*(t - 2)*(9*t - 2)/7
Let g(x) be the third derivative of 1/420*x**6 - 10*x**2 - 2/105*x**5 - 1/84*x**4 + 4/21*x**3 + 0 + 0*x. Suppose g(t) = 0. Calculate t.
-1, 1, 4
Let r(a) be the third derivative of 30*a**2 - 5*a**3 + 0 - 25/24*a**4 + 0*a + 1/12*a**5. Factor r(t).
5*(t - 6)*(t + 1)
Suppose -2*q - 1 = -5, 0 = -3*a - 3*q + 15. Determine r so that 0*r**3 + 6*r**2 + a*r**3 + 24*r**3 = 0.
-2/9, 0
Let i = 626 - 624. Let k(w) be the second derivative of -2*w**i - 1/3*w**3 + 1/6*w**4 + 0 + 7*w. Solve k(l) = 0 for l.
-1, 2
Factor -8*t + 5*t**2 + 4*t**2 + 8*t**2 + 9 - 18*t**2.
-(t - 1)*(t + 9)
Factor 3/4*j**5 - 51/4*j - 21/2*j**2 + 0*j**3 + 3*j**4 - 9/2.
3*(j - 2)*(j + 1)**3*(j + 3)/4
Let w(s) be the third derivative of -s**6/960 - 5*s**5/48 + 157*s**4/192 - 53*s**3/24 - 197*s**2. Find k such that w(k) = 0.
-53, 1, 2
Factor -3/2*g**2 - 69/2 - 36*g.
-3*(g + 1)*(g + 23)/2
Factor -10*o - o**2 + o**3 + o**3 - o**3 - 17*o**2 + 9*o**2.
o*(o - 10)*(o + 1)
Let v(y) be the third derivative of -y**8/112 - 53*y**7/35 - 3673*y**6/40 - 9747*y**5/5 + 11178*y**4 - 23328*y**3 - 58*y**2. Determine u so that v(u) = 0.
-36, 1
Let a(j) be the first derivative of -j**3/3 - 3*j**2/2 + 306. Factor a(z).
-z*(z + 3)
Let c = -3/1660 + 209/830. Factor -c + u**3 + 1/4*u**2 - u.
(u - 1)*(u + 1)*(4*u + 1)/4
Let d(m) = -2*m**4 + 7*m**3 + 23*m**2 + 20*m + 3. Let y(q) = q**4 - 2*q**2 - q + 1. Let f(c) = -5*d(c) - 15*y(c). Find i, given that f(i) = 0.
-3, -2, -1
Let s = 7183/5 + -1436. Suppose 0 = 5*b - 3*r + 12, 2*r - 8 = -2*b - 0. Find v, given that 3/5*v + b + s*v**2 = 0.
-1, 0
Let z(c) be the first derivative of -c**9/1512 - c**8/840 - 19*c**3/3 + 13. Let n(w) be the third derivative of z(w). Factor n(o).
-2*o**4*(o + 1)
Let b(g) = 2*g**2 - 4*g - 2. Let o(j) = -j + 1. Let m(w) = -b(w) + 2*o(w). Factor m(r).
-2*(r - 2)*(r + 1)
Let x(c) = c**2 + 45*c - 43. Let b(r) = r**2 + 46*r - 43. Let t(z) = -3*b(z) + 4*x(z). Factor t(q).
(q - 1)*(q + 43)
Let s = 1107 + -1103. Let -2/7*o**5 + 8/7*o**2 + 6/7*o**3 + 0 - 4/7*o**s - 8/7*o = 0. Calculate o.
-2, 0, 1
Let h(g) = g**2 - g - 9. Let y be h(5). Find s such that 21*s + y*s + 16*s**2 - 72*s**3 + 74*s**3 = 0.
-4, 0
Le