 Factor t(z).
-5*z*(z + 1)*(z + 2)
Let q be 2/2*(-52)/(-8). Let i = -26/125 + 2333/1000. Find m, given that -i*m - 9/8*m**5 - 1/4 - 21/4*m**4 - 35/4*m**3 - q*m**2 = 0.
-2, -1, -1/3
Let h(l) be the first derivative of l**4/4 - 5*l**3 + 75*l**2/2 - 125*l - 925. Let h(n) = 0. What is n?
5
Factor -128/5*i**2 - 2/5*i**3 + 128/5 + 2/5*i.
-2*(i - 1)*(i + 1)*(i + 64)/5
Let h(x) = x**2 - 11*x. Let t be h(9). Let q be (-20)/(-6)*t/(-15). Factor 4*d - d**3 - q - 1 + 0*d**3 + 2*d**2 - 3.
-(d - 2)**2*(d + 2)
Let m be (2/5)/((-6)/40*(-1128)/846). Find a such that 0 + m*a**3 - 5/2*a**2 - 3*a = 0.
-3/4, 0, 2
Let q(o) be the third derivative of o**5/90 + 11*o**4/36 + 10*o**3/9 + 76*o**2. Factor q(t).
2*(t + 1)*(t + 10)/3
Let c(m) be the second derivative of -m**7/28 - m**6/20 + 3*m**5/8 - 3*m**4/8 - 7*m. Let c(z) = 0. What is z?
-3, 0, 1
Suppose 4*d + 10 = 9*d. Solve -4*j**5 + 41*j**d - 4*j**3 - 37*j**2 - 4*j**4 + 8*j**3 = 0.
-1, 0, 1
Find j such that 4/15*j**2 + 48/5 - 2/15*j**3 + 26/5*j = 0.
-3, 8
Let a(t) be the first derivative of t**4/24 - 8*t**3/3 - 656. Suppose a(s) = 0. What is s?
0, 48
Let y = 296 + -296. Let d(q) be the third derivative of 0*q - q**2 + 1/84*q**4 - 1/105*q**5 + y - 1/420*q**6 + 2/21*q**3. Factor d(f).
-2*(f - 1)*(f + 1)*(f + 2)/7
Let t(a) be the first derivative of -a**6/6 + 3*a**5/5 + 9*a**4/4 + 5*a**3/3 + 18. What is u in t(u) = 0?
-1, 0, 5
Let j(v) be the first derivative of v**6/180 + 2*v**5/15 + 4*v**4/3 + 17*v**3/3 - 18. Let h(p) be the third derivative of j(p). Factor h(n).
2*(n + 4)**2
Let o(l) be the second derivative of -1/18*l**4 - 1/60*l**5 + 0 - 1/18*l**3 - 10*l + 0*l**2. What is t in o(t) = 0?
-1, 0
Let w be 110/33*6/5. Find x, given that 305*x**w + 2*x**2 - 306*x**4 - 2*x**2 = 0.
0
Let c(n) be the third derivative of n**9/1008 - n**7/140 + n**5/40 - 5*n**3/6 + 4*n**2. Let b(o) be the first derivative of c(o). Factor b(g).
3*g*(g - 1)**2*(g + 1)**2
Let r(d) be the first derivative of 7/6*d**2 - 5 - 2/3*d**3 - 7/12*d**4 + 4/15*d**5 + 2/3*d. Let r(c) = 0. Calculate c.
-1, -1/4, 1, 2
Let q(w) = -w**4 + 9*w**3 - 5*w**2 + 3*w - 6. Let l(d) = 3*d**4 - 26*d**3 + 16*d**2 - 10*d + 17. Let i(h) = 4*l(h) + 11*q(h). What is t in i(t) = 0?
1, 2
Let u(q) = q**2 - 24*q + 80. Let i be u(4). Let -2/3*w**2 + 4/3*w**3 + 0*w - 2/3*w**4 + i = 0. Calculate w.
0, 1
Solve 153*o**2 - 10*o - 8*o**4 + 6*o**3 + 156*o**2 - 297*o**2 = 0.
-5/4, 0, 1
Let b(u) be the second derivative of u**5/110 - 13*u**4/66 + 13*u**3/11 - 27*u**2/11 + 88*u. Let b(g) = 0. What is g?
1, 3, 9
Factor 15/2*k**3 + 0 - 3/2*k**4 - 72*k + 12*k**2.
-3*k*(k - 4)**2*(k + 3)/2
Let b(t) = 15*t**2 - 23*t**2 - 8*t**3 - 32*t - 20*t**2. Let j(c) = c**3 - c**2 + c. Let a(w) = -b(w) - 4*j(w). Solve a(y) = 0 for y.
-7, -1, 0
Let z(n) be the second derivative of 8*n**7/49 - 12*n**6/35 + 27*n**5/140 - n**4/28 + 28*n + 1. Factor z(a).
3*a**2*(a - 1)*(4*a - 1)**2/7
Let p(h) be the second derivative of h**4/4 + h**3/2 - 9*h**2 + 25*h. Determine k so that p(k) = 0.
-3, 2
Let k(u) be the second derivative of u**4/18 - 8*u**3/9 + 5*u**2 - 57*u. Suppose k(v) = 0. What is v?
3, 5
Let q = -2617/33 + 876/11. Let k(c) be the first derivative of -7 - q*c**3 - 4*c + 2*c**2. Solve k(b) = 0.
2
Let b(p) be the second derivative of -p**4/36 + p**3/9 + p**2/2 + 80*p + 1. Find u such that b(u) = 0.
-1, 3
Let s(u) = 3*u**3 + 3*u**3 - 7 + 0*u + 6 - u - 4. Let r(z) = -4 + 3*z**3 - 2*z + 2*z**3 + z. Let l(d) = -5*r(d) + 4*s(d). Factor l(o).
-o*(o - 1)*(o + 1)
Let t(i) be the third derivative of i**5/60 + 7*i**4/24 - 5*i**3 + 6*i**2 + 48. Factor t(g).
(g - 3)*(g + 10)
Let s(v) = 14*v - 11. Let f be s(1). Let a(o) be the first derivative of 1/9*o**f + 7 + 1/18*o**6 + 0*o**2 + 0*o - 1/12*o**4 - 1/15*o**5. Solve a(m) = 0.
-1, 0, 1
Let p(t) = t**2 + 2*t + 4. Let z be p(-4). Determine u so that 0*u - 3*u**2 - z - 12*u + 0*u**2 = 0.
-2
Let f(o) = o**2 - 7*o - 14. Let c(g) = 8*g - 7. Let y be c(2). Let j be f(y). Factor -18/17*z**5 + 480/17*z**2 - 368/17*z**3 - 288/17*z + 132/17*z**j + 64/17.
-2*(z - 2)**3*(3*z - 2)**2/17
Let z = -2237/4 - -550. Let w = z + 19/2. Factor -p - w*p**2 - 1.
-(p + 2)**2/4
Let y(x) be the third derivative of 1/6*x**6 - 5/3*x**3 + 8*x**2 + 1/6*x**5 - 5/8*x**4 + 0*x + 0 - 5/336*x**8 + 0*x**7. Let y(m) = 0. Calculate m.
-1, 1, 2
Let t(v) be the first derivative of v**5/9 - 607*v**4/36 + 6079*v**3/9 + 11407*v**2/18 - 7442*v/9 + 203. Let t(l) = 0. What is l?
-1, 2/5, 61
Let p be (-33)/(-330)*(-5)/(-15). Let i(m) be the second derivative of 0 + 8*m - 16/5*m**2 + 8/15*m**3 - p*m**4. Factor i(h).
-2*(h - 4)**2/5
Let m(b) be the second derivative of -b**6/90 - b**5/60 + 5*b**4/36 - b**3/6 + 7*b + 4. Factor m(i).
-i*(i - 1)**2*(i + 3)/3
Let y = -1356 + 1358. Factor -2 - 1/2*l**y - 2*l.
-(l + 2)**2/2
Let 0 + 338/5*y - 141/5*y**3 - 1/5*y**5 + 5*y**4 - 221/5*y**2 = 0. Calculate y.
-2, 0, 1, 13
Let f(d) be the third derivative of 0 + 5/3*d**3 + 3*d**2 + 1/6*d**4 + 1/150*d**5 + 0*d. Solve f(v) = 0.
-5
Let u(x) be the third derivative of x**7/350 + x**6/50 - x**5/100 - x**4/10 - 14*x**2 - 1. Solve u(h) = 0 for h.
-4, -1, 0, 1
Suppose -6 = 4*j - 7*j. Suppose -1 = -j*d + 3. Let -9*r**d + 6*r + 2 - 2 + 3*r**3 = 0. What is r?
0, 1, 2
Let p(m) = 2*m**4 - 18*m**3 - 38*m**2 + 36*m - 6. Let i(y) = -y**4 - y**3 + 3*y**2 + 2*y + 1. Let a(o) = 6*i(o) + p(o). Factor a(n).
-4*n*(n - 1)*(n + 3)*(n + 4)
Let c = 366 + -364. Let t(m) be the first derivative of 0*m**2 - 2/3*m**3 + c*m + 6. Determine h so that t(h) = 0.
-1, 1
Let u(o) be the second derivative of o**5/90 - o**4/9 + o**3/3 - 15*o**2 - 11*o. Let w(j) be the first derivative of u(j). Factor w(p).
2*(p - 3)*(p - 1)/3
Let q = -121 + 115. Let c(j) = 8*j**3 + 7*j**2 - 17*j + 8. Let b(u) = 2*u**3 + u**2 - u. Let k(i) = q*b(i) + 2*c(i). Factor k(l).
4*(l - 1)**2*(l + 4)
Factor -1/9*u**2 - 1369 + 74/3*u.
-(u - 111)**2/9
Let j be 8/(-12) - 10 - -11. Let i(r) be the first derivative of j*r**3 - r - 1/4*r**4 + 1/2*r**2 - 5. Factor i(k).
-(k - 1)**2*(k + 1)
Let z be (0 - 2)*13/(-26). Let s(l) = -l**4 + l**2. Let v(g) = -20*g**4 - 10*g**3 + 25*g**2 + 10*g - 5. Let c(o) = z*v(o) - 25*s(o). Factor c(x).
5*(x - 1)**3*(x + 1)
Let m(x) = -x**2 - 11*x - 19. Let i be m(-9). Let z be i - 1/(-3 + 16/6). Find k such that 3 + 1/3*k**2 + z*k = 0.
-3
Let r be 15/6*(-2)/(-1). Suppose -r*l = -76 - 64. Factor 1 - 13*h + l*h**2 + 5*h - 1.
4*h*(7*h - 2)
Suppose -14/11*u**3 - 2/11*u**4 + 0 - 12/11*u + 26/11*u**2 + 2/11*u**5 = 0. Calculate u.
-3, 0, 1, 2
What is x in 87/4*x + 75/4*x**3 - 3/2 - 39*x**2 = 0?
2/25, 1
Let l(o) = -5*o - 11. Let v be l(-3). Let w(j) be the first derivative of 3 + 9*j**2 + 10/3*j**3 - 9/2*j**4 - 14/5*j**5 + v*j. Solve w(s) = 0 for s.
-1, -2/7, 1
Factor -1/3*z**4 - 100/3 - 140/3*z - 23*z**2 - 14/3*z**3.
-(z + 2)**2*(z + 5)**2/3
Let t = -65 + 65. Let s = 44 + -128/3. Solve -s*j**3 + t + 4/3*j + 2/3*j**4 - 2/3*j**2 = 0 for j.
-1, 0, 1, 2
Let c(x) = 5 - 2*x + x**2 - 2*x - 2. Let d(j) be the first derivative of 2*j**3/3 - 7*j**2/2 + 5*j + 65. Let h(m) = -5*c(m) + 3*d(m). Factor h(o).
o*(o - 1)
Let z be -1*10*4/(-35). Find a such that z*a**2 - 4/7 - 4/7*a**3 - 4/7*a**4 + 2/7*a + 2/7*a**5 = 0.
-1, 1, 2
Suppose 0 = -5*z + 4*z + 3. Suppose 8*s = z + 29. Determine y so that 0*y + 0 + 2/3*y**2 + 0*y**3 - 2/3*y**s = 0.
-1, 0, 1
Suppose -4*p = -2*l - 3*p - 72, 4*p = l + 43. Let i = 106/3 + l. Factor -i*x**2 + 1/3*x - 1/3*x**3 + 1/3.
-(x - 1)*(x + 1)**2/3
Let p(r) = -r**3 + 6*r**2 - 11*r + 1. Let t(h) = -h**2 - h. Let y(f) = -5*p(f) + 5*t(f). Let n(b) = -b**2 + b - 1. Let m(s) = 5*n(s) - y(s). Factor m(i).
-5*i*(i - 3)**2
Let a(f) be the third derivative of f**5/20 - f**4/4 + 742*f**2. Factor a(d).
3*d*(d - 2)
Let i = -10740/41 + 262. Let u = i - -361/164. Factor 9/4*w**2 + 3/4*w - 3/4*w**3 - u.
-3*(w - 3)*(w - 1)*(w + 1)/4
Let t be 0 - -4 - (2 - (-2)/1). Let m(x) be the first derivative of 1/4*x**4 - 1/3*x**3 + 0*x + 4 + t*x**2. Factor m(r).
r**2*(r - 1)
Let k(f) be the third derivative of f**5/15 + f**4/12 + f**3/6 + 7*f**2. Let o be k(-1). Factor 0*i**2 + 0*i**4 - 2/11*i + 4/11*i**o + 0 - 2/11*i**5.
-2*i*(i - 1)**2*(i + 1)**2/11
Let q(x) be the third derivative of 0*x + 1/45*x**3 - 1/2520*x**8 - 17*x**2 + 1/450*x**6 + 1/1575*x**7 - 1/180*x**4 - 1/225*x**5 + 0. Factor q(b).
-2