*r**3 - 4/5*r + 2*r**2 + 0 + 2/5*r**5 - 2/5*r**4 = 0.
-2, 0, 1
Let m(q) be the third derivative of -3*q**7/35 + 3*q**6/10 + 2*q**5 + 34*q**4/9 + 32*q**3/9 + 8*q**2. Find d, given that m(d) = 0.
-2/3, 4
Let b = -25 - -49. Solve 18*q**2 + b*q - 3*q**4 + 9 + 0*q**4 + 0*q**4 = 0 for q.
-1, 3
Let a be 6 - 8/((-8)/(-2)). Suppose -3 + 12*f - 24*f**2 + 3 + 4*f**a + 4*f**3 + 4*f**2 = 0. Calculate f.
-3, 0, 1
Find d such that -2/5*d**5 + 0 + 0*d - 2/5*d**4 + 8/5*d**3 + 8/5*d**2 = 0.
-2, -1, 0, 2
Suppose -3/4*h - 21/8*h**2 - 9/8*h**3 + 3*h**4 + 3/2*h**5 + 0 = 0. What is h?
-2, -1/2, 0, 1
Factor -b**4 + 180*b + 3*b**3 + 6 + 175*b + 0 + 15*b**2 - 338*b.
-(b - 6)*(b + 1)**3
Let f(z) = 2*z**4 - 13*z**3 + 2*z**2 - 3*z. Let d(r) = 5*r**4 - 25*r**3 + 5*r**2 - 5*r. Let c(g) = -3*d(g) + 5*f(g). Factor c(p).
-5*p**2*(p - 1)**2
Let p(t) be the second derivative of t**6/10 + 3*t**5/20 - t**4 - 2*t**3 + 22*t. Let p(a) = 0. What is a?
-2, -1, 0, 2
Let s be (-3)/(-6) + 603/(-6). Let v = 502/5 + s. Let 2/5 + 0*z - v*z**2 = 0. What is z?
-1, 1
Let h(u) = -4*u**4 - u**3 + u**2 + u - 3. Let v(c) = 7*c**4 + c**3 - 3*c**2 - c + 6. Let f(x) = 10*h(x) + 6*v(x). Factor f(d).
2*(d - 3)*(d - 1)*(d + 1)**2
Let j(p) be the first derivative of 1/3*p**2 + 1/9*p**3 - 1 + 0*p. Factor j(b).
b*(b + 2)/3
Let u(s) be the first derivative of s**3/9 - s**2/3 - s - 7. Solve u(x) = 0.
-1, 3
Suppose v + 5 = -3*i, 2*v = -3*i - 0 - 4. Let o(k) = -3*k**3 - 6*k**2 - 3*k - 6. Let z(f) = -f**3 - f**2 - 1. Let t(h) = v*o(h) - 6*z(h). Factor t(q).
3*q*(q - 1)*(q + 1)
Let s(i) be the third derivative of i**8/1008 - i**6/180 + i**4/72 - 27*i**2. Determine w, given that s(w) = 0.
-1, 0, 1
Let x be 1 + 3 - ((3 - 3) + 2). Let i(j) be the first derivative of -1/14*j**4 + 0*j + 4/21*j**3 - 1/7*j**x + 2. Suppose i(r) = 0. Calculate r.
0, 1
Let p(g) = -g**4 - g - g**5 - 1 + 0*g**4 - g**5 + 3*g**5 + g**3. Let c(s) = -s**5 + 2*s**4 - 4*s**3 + 3*s + 2. Let j(i) = c(i) + 2*p(i). Factor j(k).
k*(k - 1)**2*(k + 1)**2
Let s(n) be the first derivative of 2 - 1/3*n**6 + 1/4*n**4 + 1/5*n**5 + 0*n**3 + 0*n + 0*n**2. Determine c, given that s(c) = 0.
-1/2, 0, 1
Suppose 10*k = -11 + 41. Let x(r) be the first derivative of 2/9*r + 2/9*r**k - 1/3*r**2 + 3 - 1/18*r**4. Factor x(c).
-2*(c - 1)**3/9
Let k be ((-88)/12)/(6/9). Let h be k/(-11) - (-14)/4. Factor 0 - 3/4*v - 15/4*v**3 + h*v**2.
-3*v*(v - 1)*(5*v - 1)/4
Let n(d) be the first derivative of -13*d**3 - 1 - 6*d - 27/2*d**2 - 9/2*d**4. Let n(t) = 0. What is t?
-1, -2/3, -1/2
Let l(o) be the third derivative of -o**6/150 + o**5/75 + o**4/15 - 31*o**2. Factor l(w).
-4*w*(w - 2)*(w + 1)/5
Let t(g) = -g**3 - 20*g**2 - 21*g - 35. Let i be t(-19). Factor 3/2*r**i - 3/2 + 3/2*r**2 - 3/2*r.
3*(r - 1)*(r + 1)**2/2
Let z(j) be the second derivative of j**7/210 + j**6/150 - j**5/100 - j**4/60 - 4*j. Factor z(k).
k**2*(k - 1)*(k + 1)**2/5
Suppose 4*k = -21 - 107. Let u be (-14)/20*k/56. Factor 2/5*n + 0 + 12/5*n**3 + 8/5*n**2 + u*n**5 + 8/5*n**4.
2*n*(n + 1)**4/5
Let f be 268/(-93 + 1 + 1). Let g = f + 42/13. Determine w, given that -2/7 + 2/7*w**2 - g*w + 2/7*w**3 = 0.
-1, 1
Let u(c) be the third derivative of -c**5/210 - c**4/42 + c**3/7 + 9*c**2. Suppose u(t) = 0. Calculate t.
-3, 1
Let o(f) be the second derivative of -3*f**5/100 + 3*f**3/10 + 3*f**2/5 - 28*f. Factor o(v).
-3*(v - 2)*(v + 1)**2/5
Let r(g) = -g**4 + 5*g**3 + 2*g**2 + 4. Let l(j) = -4*j**2 - 10*j**3 + 6*j - 9 - 6*j + 3*j**4. Let d(q) = -4*l(q) - 9*r(q). Solve d(k) = 0 for k.
-1, -2/3, 0
Let v be ((-30)/(8 + -3))/(-3) + -2. Let 0 - 2/5*i**2 + v*i = 0. Calculate i.
0
Let a(n) be the first derivative of -2*n**5/95 + 3*n**4/19 - 6*n**3/19 + 18. Factor a(x).
-2*x**2*(x - 3)**2/19
Let b(z) be the first derivative of -z**3/3 + z + 4. Factor b(s).
-(s - 1)*(s + 1)
Let w(d) be the third derivative of -d**7/30 - d**6/24 + 3*d**5/20 + 5*d**4/24 - d**3/3 - 3*d**2. Determine p so that w(p) = 0.
-1, 2/7, 1
Let l(s) = 8*s**4 + 12*s**3 - 2*s**2 + 2*s + 2. Let w(n) = 17*n**4 + 25*n**3 - 3*n**2 + 5*n + 5. Let i(q) = -10*l(q) + 4*w(q). Factor i(d).
-4*d**2*(d + 2)*(3*d - 1)
Suppose 6*n = -21 + 21. Let h(c) be the third derivative of n*c**3 - 1/10*c**5 + 0 - 1/12*c**4 + c**2 - 1/105*c**7 + 0*c - 1/20*c**6. Solve h(k) = 0 for k.
-1, 0
Let r(y) be the first derivative of -y**7/840 + y**6/120 - y**5/40 + y**4/24 - y**3 + 3. Let h(n) be the third derivative of r(n). Factor h(o).
-(o - 1)**3
Let c(h) be the third derivative of -h**7/105 + h**5/10 - h**4/6 - 26*h**2. Factor c(o).
-2*o*(o - 1)**2*(o + 2)
Let w(v) = 36*v**2 - 6*v + 21. Let o(s) be the second derivative of -7*s**4/12 + s**3/6 - 2*s**2 - 2*s. Let k(a) = 21*o(a) + 4*w(a). Factor k(c).
-3*c*(c + 1)
Suppose v = 3*c + 49, 2*v = 2*c - 0*c + 26. Let t be (-8)/(-10)*(-189)/c. Factor -162/5*n**5 - 54*n**4 - 162/5*n**3 - t*n**2 - 4/5*n + 0.
-2*n*(3*n + 1)**3*(3*n + 2)/5
Let r(j) be the third derivative of j**7/105 + j**6/30 + j**5/30 + 8*j**2. Factor r(s).
2*s**2*(s + 1)**2
Let k(l) be the second derivative of -l**4/21 + 22*l**3/21 - 3*l + 11. Factor k(d).
-4*d*(d - 11)/7
Let w(u) = u + 1. Let d(g) = 2*g**2 + 5*g + 3. Let t(i) = d(i) - 2*w(i). Let n(j) = j**2 + 1. Let f(a) = -3*n(a) + t(a). Factor f(h).
-(h - 2)*(h - 1)
Let j be (1 - 1)/(5 - 3). Let u(p) be the second derivative of -p + 0*p**3 + 0 + 1/42*p**7 + j*p**2 - 1/10*p**6 + 1/10*p**5 + 0*p**4. Solve u(n) = 0 for n.
0, 1, 2
Let m be 0/((2 - 2) + 2). Factor -3/4*z**3 + z + 0 - 1/4*z**4 + m*z**2.
-z*(z - 1)*(z + 2)**2/4
Let o = -8885 - -1119481/126. Let m = 1/18 - o. Factor m*z**2 + 0*z + 0 + 2/7*z**3.
2*z**2*(z + 1)/7
Suppose 0*j = 5*j - 35. Let y = 12 - j. Determine h so that 0*h - 6/5*h**4 + 2/5*h**y - 2/5*h**2 + 6/5*h**3 + 0 = 0.
0, 1
Suppose 3*b + 4*b**2 - 12*b + 2*b - 9*b = 0. Calculate b.
0, 4
Suppose 4*i - 4*r - 72 = 0, 5*i - 70 = -0*i - 5*r. Let a = 16 - i. Suppose a*u - 3/5*u**3 + 0 - 6/5*u**2 = 0. Calculate u.
-2, 0
Let s(j) be the third derivative of -121*j**5/20 - 11*j**4/2 - 2*j**3 + 3*j**2. Factor s(a).
-3*(11*a + 2)**2
Let v(s) = 11*s - 121. Let q be v(11). Determine h so that 0*h - 1/3*h**2 + q = 0.
0
Factor -3*v**2 + 7*v**2 + 0*v**2 - 4*v.
4*v*(v - 1)
Suppose -2*c + 4 = 0, 5*h + 5*c = -0*c + 30. Find l such that -l**h + 0 + 5/3*l**3 - 1/3*l - 4/3*l**5 + l**2 = 0.
-1, 0, 1/4, 1
Let n(m) be the second derivative of m**8/2184 - 2*m**7/1365 + 3*m**2 - 7*m. Let b(s) be the first derivative of n(s). Determine v so that b(v) = 0.
0, 2
Suppose 2*j + 4*z = 44, -j + z + 3 = -4. Let x be (14/(-3))/(j/(-9)). Factor -2*i**4 - i**2 + 0 - x*i**3 + 1/2*i.
-i*(i + 1)**2*(4*i - 1)/2
Let u(o) = -13*o + 367. Let c be u(28). Find y such that 2/3 + 2*y - 4/3*y**4 + 2/3*y**2 - 2*y**c = 0.
-1, -1/2, 1
Let v(z) be the second derivative of -3/20*z**5 + 0*z**2 - 1/30*z**6 - 1/6*z**3 - 1/4*z**4 - 3*z + 0. Find a, given that v(a) = 0.
-1, 0
Factor -4*i**5 + 178*i**2 + 4*i**4 + 183*i**2 + 4*i**3 - 365*i**2.
-4*i**2*(i - 1)**2*(i + 1)
Let y(z) be the third derivative of z**9/15120 + z**8/2240 + z**7/840 + z**6/720 + z**4/24 + 3*z**2. Let x(c) be the second derivative of y(c). Factor x(h).
h*(h + 1)**3
Let c(l) be the first derivative of -4 - 8*l**2 + 16*l + 4/3*l**3. Let c(o) = 0. What is o?
2
Let v(h) = -3*h**2 - 8*h + 4. Let o(m) = 8*m + 2*m**2 + 2*m**2 - 4 + m. Let r(l) = -4*o(l) - 5*v(l). Factor r(y).
-(y - 2)**2
Let v(w) be the first derivative of 0*w - 2/5*w**5 + 1/2*w**4 - 5 + 0*w**3 + 0*w**2. Let v(c) = 0. Calculate c.
0, 1
Let i = -3 + 5. Let q(b) be the second derivative of -i*b + 0 - 1/3*b**3 + 0*b**2 + 1/12*b**4. Factor q(z).
z*(z - 2)
Let y(b) be the first derivative of b**7/105 - 2*b**5/25 + b**4/15 + b**3/5 - 2*b**2/5 - b + 1. Let j(m) be the first derivative of y(m). Factor j(a).
2*(a - 1)**3*(a + 1)*(a + 2)/5
Let -447*j + 80 + 1476*j**2 - 186*j + 61*j + 324*j**3 - 132*j = 0. Calculate j.
-5, 2/9
Let d(u) = 155*u**2 + 92*u + 4. Let j(z) = -52*z**2 - 31*z - 1. Suppose 4*n - 3*q + 44 = 0, -3*q - 4 = -2*n + 4*n. Let w(b) = n*j(b) - 3*d(b). Factor w(l).
-(7*l + 2)**2
Let w be (-36)/(-63)*14/4. Let k(s) be the third derivative of 1/24*s**4 + w*s**2 + 0 + 0*s - 1/60*s**5 + 0*s**3. Solve k(i) = 0.
0, 1
Let o(b) be the third derivative of -2/7*b**7 - 1/2*b**4 + 25/112*b**8 + b**5 - 9*b**2 + 0*b**3 + 0*b + 0 - 21/40*b**6. Let o(r) 