*2*(d + 2)
Let c be (-1)/(-5)*(-9 + 282/18). Determine g so that -c*g + 0 + 1/3*g**2 = 0.
0, 4
Let j = -13 + 17. Factor 27*i**4 + 6*i**3 - 24*i**j + 2*i - 2*i.
3*i**3*(i + 2)
Let y(i) be the second derivative of 1/60*i**6 - 37*i + 1/6*i**4 + 3/20*i**5 - 1/2*i**3 + 0 - 5/4*i**2. Suppose y(u) = 0. Calculate u.
-5, -1, 1
Let x(a) be the second derivative of -a**6/180 + a**5/60 + 4*a**3/3 - 18*a. Let i(w) be the second derivative of x(w). Factor i(o).
-2*o*(o - 1)
Suppose 0 = -4*n - 12 + 20. Let v(y) = 2*y**2 + y - 6. Let d be v(n). Find f such that 4*f**2 - f + 0*f - d*f**4 + 5*f - 4*f**3 + 0*f = 0.
-1, 0, 1
Factor 0*c**3 + 696*c**2 - 702*c**2 - 8*c**3 + 7*c**3.
-c**2*(c + 6)
Let g(l) be the third derivative of 0*l + 1/36*l**6 + 0*l**4 + 0 - 2*l**2 + 5/6*l**3 - 1/30*l**5. Let p(r) be the first derivative of g(r). Factor p(s).
2*s*(5*s - 2)
Let r(s) be the third derivative of -s**6/900 + 26*s**5/225 - 69*s**4/20 - 162*s**3/5 - s**2 - 458*s. Determine f, given that r(f) = 0.
-2, 27
Let p(x) be the second derivative of 2*x**6/15 - 56*x**5/5 + 109*x**4/3 - 36*x**3 + 4*x - 3. Let p(f) = 0. Calculate f.
0, 1, 54
Let k(s) = -s**3 + 13*s**2 + 14*s + 4. Let a be k(14). Let p(c) be the first derivative of 0*c**2 + 0*c - 1/12*c**3 - 1/8*c**5 - 6 + 7/32*c**a. Factor p(i).
-i**2*(i - 1)*(5*i - 2)/8
Let n be (1 + -2)/1 - -7. Suppose 12 = 2*x + o, o + 4 = n. Solve -12*c**2 + 6*c**x - 3 - 5*c + 6*c**3 + 10*c**4 + 5*c**4 - 7*c = 0.
-1, -1/2, 1
Let d(q) be the second derivative of -q**4/48 + q**3/8 - q**2/4 - 15*q + 4. What is m in d(m) = 0?
1, 2
Let o(p) = 5*p + 49. Let b be o(-9). Let y(s) be the second derivative of 0*s**3 - 3*s + 0*s**2 - 1/15*s**6 + 0*s**b + 0 - 3/10*s**5. Find g such that y(g) = 0.
-3, 0
Let x(i) be the second derivative of i**5/50 - 19*i**4/30 + 112*i**3/15 - 192*i**2/5 + 558*i. Let x(h) = 0. Calculate h.
3, 8
Let j(q) be the third derivative of q**7/2520 - q**6/180 + 7*q**4/24 + q**2. Let t(z) be the second derivative of j(z). Find x, given that t(x) = 0.
0, 4
Let 22/7*t**2 - 2/7*t**3 + 0 - 20/7*t = 0. Calculate t.
0, 1, 10
Suppose -16*a + 135 = 29*a. Let q(u) be the third derivative of 0 - 8*u**2 + 0*u + 2/105*u**5 + 0*u**a + 1/21*u**4 + 1/420*u**6. Factor q(v).
2*v*(v + 2)**2/7
Let a(p) be the third derivative of p**6/78 - 7*p**5/130 + p**4/13 - p**3/39 - 31*p**2. Determine t, given that a(t) = 0.
1/10, 1
Let k(s) be the second derivative of -1/35*s**5 - 2/35*s**6 + 1/42*s**7 + 1/6*s**4 - 1/14*s**3 + 0 - 30*s - 1/7*s**2. Factor k(q).
(q - 1)**3*(q + 1)*(7*q + 2)/7
Let g(p) be the third derivative of p**6/480 - p**5/16 + p**4/2 - 11*p**3/6 - 101*p**2. Factor g(h).
(h - 11)*(h - 2)**2/4
Let r(k) be the first derivative of 40/3*k**2 + 0*k - 10/3*k**4 + 0*k**5 + 5/18*k**6 - 8 + 0*k**3. Suppose r(c) = 0. What is c?
-2, 0, 2
Suppose 2*i = -8*i - 620. Let c = i - -64. Factor -4/7 + m**c - 12/7*m.
(m - 2)*(7*m + 2)/7
Let o(p) = -p**4 + p**3 + p**2. Let f(g) = 32*g**3 + 6 - 9*g**2 + 84*g**2 - 17*g**3 + 39*g - 33*g**4. Let q(a) = f(a) - 6*o(a). Find w, given that q(w) = 0.
-1, -1/3, 2
Let z(m) be the first derivative of -2*m**5/45 + 7*m**4/18 - 10*m**3/27 - 7*m**2/9 + 4*m/3 + 34. Let z(x) = 0. Calculate x.
-1, 1, 6
Let o be (-28)/(-16)*(3 - -1). Let p be -8*(o/(-2) + (1 - -2)). Factor -13/2*s**3 - 6*s**2 - 1/2 - 7/2*s**p - 3/4*s**5 - 11/4*s.
-(s + 1)**4*(3*s + 2)/4
Let d be 0 + -5 + (2 - -3). Suppose 0 = -8*m + 3*m - d*m. Factor m - 6/13*n**3 - 2/13*n**5 + 2/13*n**2 + 6/13*n**4 + 0*n.
-2*n**2*(n - 1)**3/13
Let u(v) be the first derivative of 45*v**6/2 - 108*v**5 - 2385*v**4/4 - 2930*v**3/3 - 750*v**2 - 280*v + 16. Find w, given that u(w) = 0.
-1, -2/3, 7
Let -951*p - 10*p**2 + 15*p**3 - 5*p**5 + 951*p = 0. What is p?
-2, 0, 1
Let j(c) be the first derivative of c**5/20 + 7*c**4/16 + 5*c**3/4 + 9*c**2/8 + 35. Suppose j(l) = 0. Calculate l.
-3, -1, 0
Factor -2/7*s**3 - 208*s - 224 + 110/7*s**2.
-2*(s - 28)**2*(s + 1)/7
Let 2626*c**3 - 5 - 2636*c**3 - 50*c**2 - 22*c**5 + 55*c**4 + 35*c - 3*c**5 = 0. Calculate c.
-1, 1/5, 1
Let t = 132 + -263/2. Let u(k) be the first derivative of -1/8*k**2 - 1/12*k**3 - 6 + t*k. Factor u(g).
-(g - 1)*(g + 2)/4
Let q(k) be the third derivative of -4*k**2 + 0 - 1/108*k**4 + 0*k**3 + 1/270*k**5 + 0*k. Let q(u) = 0. What is u?
0, 1
Suppose 2*a + 146 + 388 = 0. Let x = 269 + a. What is c in -x*c**5 + c**2 - 1/2 + 4*c**3 - 2*c - 1/2*c**4 = 0?
-1, -1/4, 1
Suppose -8 - 4 = -3*x. Suppose 4*y - x = 3*y. What is l in 6 + 2*l**3 - 6*l**2 - y + 6 = 0?
-1, 2
Let v(l) be the second derivative of -l**5/5 - 4*l**4/3 + 34*l**3 - 180*l**2 - 173*l. Factor v(g).
-4*(g - 3)**2*(g + 10)
Let m(c) = 7*c**2 - 5. Let l be m(3). Let o = 58 - l. Factor o*s + 0 - 2/9*s**2.
-2*s**2/9
Factor 88*i**4 + 38*i - 29*i**4 + 4*i**3 - 27*i**2 - 16 - 58*i**4.
(i - 2)*(i - 1)**2*(i + 8)
Let f(h) be the third derivative of h**8/1344 - 7*h**6/480 - h**5/40 + 78*h**2. Let f(l) = 0. Calculate l.
-2, -1, 0, 3
Let p(i) = 2*i - 5. Let d be p(-3). Let r be 1070/154 + 1/d. Determine j so that -64/7*j**2 - r*j - 9/7 = 0.
-3/8
Let n(b) be the first derivative of 1/5*b**4 - 2/5*b**2 + 6/5*b + 2/25*b**5 - 8/15*b**3 - 5. Factor n(v).
2*(v - 1)**2*(v + 1)*(v + 3)/5
Suppose 15 = -0*a + 3*a - 3*o, 3*o = -3*a - 15. Determine n, given that -10/7*n**3 - 2/7*n**4 + 2/7*n**2 + 4/7*n + 6/7*n**5 + a = 0.
-1, -2/3, 0, 1
Let s(r) be the first derivative of r**5/5 + r**4/8 - r**3/3 - r**2/4 + 56. Factor s(q).
q*(q - 1)*(q + 1)*(2*q + 1)/2
Let u(b) be the first derivative of 9 + 1/14*b**4 + 0*b + 0*b**2 - 8/21*b**3. Factor u(h).
2*h**2*(h - 4)/7
Let v = 137 + -132. Let m(g) = 3*g**4 - 11*g**3 - 7*g**2 + 5*g + 5. Let d(w) = -2*w**4 + 12*w**3 + 8*w**2 - 6*w - 6. Let j(h) = v*d(h) + 6*m(h). Factor j(i).
2*i**2*(i - 1)*(4*i + 1)
Let f(l) = -7*l**3 + 16*l**2 - 13*l + 9. Let c(h) = h - 1. Suppose -5*k - 3*r = 32, -k - k + r = 4. Let d(v) = k*f(v) - 36*c(v). Factor d(y).
4*y*(y - 2)*(7*y - 2)
Let p = -20743/4 + 5186. Factor 7/8*f + 3/8*f**2 + p.
(f + 2)*(3*f + 1)/8
Let v(b) be the third derivative of b**7/2240 + b**6/240 + b**5/64 + b**4/32 + 3*b**3/2 + 12*b**2. Let j(a) be the first derivative of v(a). Factor j(d).
3*(d + 1)**2*(d + 2)/8
Let q be (11/2)/((-1)/(-2)). Factor 16*r**2 - 2*r**4 + 0*r**4 - q*r**3 - 27*r**3 + 16*r**4 + 8*r.
2*r*(r - 2)*(r - 1)*(7*r + 2)
Let g(f) = 4*f**2 + 18*f. Let p(h) be the first derivative of -4*h**3/3 - 17*h**2/2 + 11. Let l(q) = -5*g(q) - 6*p(q). What is w in l(w) = 0?
-3, 0
Let s(r) be the third derivative of -1/280*r**6 + 0 + 0*r + 1/84*r**4 - 9*r**2 + 4/3*r**3 - 1/120*r**5. Let t(v) be the first derivative of s(v). Factor t(h).
-(h + 1)*(9*h - 2)/7
Let w(b) be the third derivative of 0 + 1/70*b**7 + 0*b + 0*b**4 - 33*b**2 + 0*b**3 + 1/5*b**5 - 1/10*b**6. Determine m, given that w(m) = 0.
0, 2
Factor -12*z**5 + 42*z**2 + 2*z**2 + 14*z**3 + 2*z**5 + 11*z**2 - 89*z**3 - 15*z + 45*z**4.
-5*z*(z - 1)**3*(2*z - 3)
Let p be 279/57 + 4/38. Let f(k) be the third derivative of 0*k + 1/120*k**p + 1/12*k**3 + 3*k**2 - 1/24*k**4 + 0. Let f(j) = 0. Calculate j.
1
Let u(v) = 3*v - 15. Let f be u(6). What is a in f*a**5 - 16*a**3 + 16*a**3 - 3*a**4 = 0?
0, 1
Suppose 0 = -4*x - t + 3, 0*t + 3*t = 3*x - 21. Suppose -10*h = -5*h - 25. Factor 0*z**x - 4/11*z**3 + 2/11*z**h + 0 + 0*z**4 + 2/11*z.
2*z*(z - 1)**2*(z + 1)**2/11
Let h(k) be the first derivative of 1/30*k**4 + 8/15*k + 2/9*k**3 + 8/15*k**2 - 20. Solve h(f) = 0.
-2, -1
Find g such that 11552/9 - 304/9*g + 2/9*g**2 = 0.
76
Let y = -1705 + 1707. Factor -33/5*p**y + 39/5*p - 6/5.
-3*(p - 1)*(11*p - 2)/5
Let d(o) be the third derivative of -o**8/112 + o**7/2 - 323*o**6/40 + 289*o**5/20 - 181*o**2 - 2. Find h such that d(h) = 0.
0, 1, 17
Suppose 0 = 2*j - 0*q + 4*q + 16, -5*j + 5 = q. Suppose z = z + j*z. What is s in z - 3/7*s**3 - 27/7*s + 18/7*s**2 = 0?
0, 3
Let h(z) be the third derivative of z**8/2520 - z**7/1575 - 2*z**6/45 + 56*z**5/225 - 82*z**2 + 1. Factor h(n).
2*n**2*(n - 4)**2*(n + 7)/15
Suppose 8 = -7*l + 15. Suppose -4*p - 22 = -2*f - 0*f, 0 = -5*f - 4*p - l. Solve -4/5*c**2 + 2/5*c**f + 2/5*c + 0 = 0 for c.
0, 1
Let b(u) be the second derivative of 3/10*u**2 + 0 + 3/100*u**5 - 1/20*u**4 - 1/10*u**3 - 36*u. What is n in b(n) = 0?
-1, 1
Let c(x) = -9*x**2 - 12*x + 6. Let m(f) = f**2 - 1. Let g be 1/(-2