2/13*x**2 + 4/13 = 0. What is x?
-2, 1
Find w such that 1814*w - 587*w - 596*w - 40 - 587*w + w**2 - 5*w**2 = 0.
1, 10
Let g(t) be the first derivative of t**3/6 + 86*t**2 + 14792*t - 616. Factor g(c).
(c + 172)**2/2
Let a be (-2)/(87/(-117) - 1/(-13)). Suppose 1/4*l**a - 1/2*l + 0 - 1/4*l**2 = 0. What is l?
-1, 0, 2
Let u(f) be the third derivative of f**6/72 - f**5/24 - 5*f**4/12 + 5*f**3 + 23*f**2. Let b(a) be the first derivative of u(a). Factor b(m).
5*(m - 2)*(m + 1)
Let b = -9 + 14. Let z be (2/b)/((-1)/(-10)). Factor -5 + h**4 - 2*h**3 + 0*h + z - 3*h + 5*h.
(h - 1)**3*(h + 1)
Let t(a) be the second derivative of -a**4/18 + 86*a**3/9 - 1849*a**2/3 + 2*a + 13. Let t(w) = 0. Calculate w.
43
Let x(q) be the second derivative of -q**7/189 + 34*q**6/135 + 6*q**5/5 + 55*q**4/27 + 37*q**3/27 + 527*q. Let x(a) = 0. Calculate a.
-1, 0, 37
Let f(t) be the first derivative of -t**6/1620 - t**5/135 - t**4/36 - 10*t**3/3 - 13. Let q(k) be the third derivative of f(k). What is x in q(x) = 0?
-3, -1
Factor -24/5*x + 2/5*x**2 + 22/5.
2*(x - 11)*(x - 1)/5
Let a(w) be the first derivative of -121*w**6/12 + 561*w**5/10 + 1789*w**4/8 + 1439*w**3/6 + 90*w**2 + 14*w + 24. Solve a(f) = 0 for f.
-1, -2/11, 7
Let g(j) be the first derivative of -4*j**3/3 - 160*j**2 - 6400*j - 484. Factor g(a).
-4*(a + 40)**2
Let u(y) = y**3 + y - 3. Let v(n) = n**4 + 5*n**3 - 3*n**2 - 9*n - 12. Let s(g) = 2*u(g) - v(g). Solve s(p) = 0 for p.
-3, -1, 2
Let v = 1378 - 1376. Find k such that 0 + 0*k + 1/2*k**4 + 0*k**v + 1/2*k**3 = 0.
-1, 0
What is s in -224/15 - 556/15*s + 2/3*s**2 = 0?
-2/5, 56
Let s = -13 + 25. Suppose -12 - s = -6*d. Determine v so that -4*v**2 + 5*v + 2 + 8 - d*v**2 + 3*v**2 = 0.
-1, 2
Let c(q) be the third derivative of q**5/210 - q**4/28 + 154*q**2. Find t, given that c(t) = 0.
0, 3
Let r(o) = 2*o**3 - 286*o**2 + 4884*o + 10950. Let h(f) = -f**3 + 285*f**2 - 4884*f - 10949. Let a(b) = 2*h(b) + 3*r(b). Factor a(n).
4*(n - 37)**2*(n + 2)
Let q(x) be the second derivative of -x**5/4 - 35*x**4/12 + 25*x**3/3 + 40*x**2 - 9*x. Factor q(d).
-5*(d - 2)*(d + 1)*(d + 8)
Let x(c) = 2*c**2 - 10*c + 8. Let p be ((-3)/6)/((-1)/(-4)). Let s(i) be the first derivative of -i**2/2 + i - 62. Let m(n) = p*x(n) + 20*s(n). Factor m(o).
-4*(o - 1)*(o + 1)
Let j(d) be the second derivative of -d**6/45 + 2*d**5/15 - 5*d**4/18 + 2*d**3/9 + 3*d - 2. Determine t, given that j(t) = 0.
0, 1, 2
Let w(f) = -3*f**2. Let n(v) = 2*v - 3. Let m(b) = b - 1. Let j(z) = 3*m(z) - n(z). Let i(d) = -6*j(d) - w(d). Suppose i(t) = 0. What is t?
0, 2
Let x(w) be the second derivative of -38*w + 1/4*w**4 + 12*w**2 + 9/2*w**3 + 0. Factor x(r).
3*(r + 1)*(r + 8)
Let i be 1407/(-4) + 105/(-20) + 5. Let y = i + 2470/7. Determine l, given that -y*l**3 + 6/7*l + 2/7 - 10/7*l**2 + 8/7*l**4 = 0.
-1, -1/4, 1
Let l(p) be the first derivative of 19 + 0*p + 0*p**2 + 1/4*p**4 - 1/15*p**5 - 2/9*p**3. Let l(s) = 0. Calculate s.
0, 1, 2
Let g(s) be the second derivative of s**7/21 - 2*s**6/15 - 3*s**5/10 + 4*s**4/3 - 4*s**3/3 + 26*s + 3. Determine c so that g(c) = 0.
-2, 0, 1, 2
Let u be 0 + -3 + (-190)/(-38). Let 0 - 3/2*b + 3/2*b**u = 0. Calculate b.
0, 1
Let w(f) be the first derivative of -f**4/4 - f**3/3 + 22. Let l(a) = -2*a**5 + 4*a**4 - 6*a**2. Let h(y) = -l(y) + 2*w(y). Suppose h(m) = 0. Calculate m.
-1, 0, 1, 2
Let c(j) be the first derivative of -j**4/20 - 4*j**3/3 + 46*j**2/5 - 96*j/5 - 123. Factor c(o).
-(o - 2)**2*(o + 24)/5
Solve -55*x - 9 - 24 - 24 + 5*x**2 - 3 = 0.
-1, 12
Let b(o) = o**3 - 4*o**2 + 3*o + 3. Let d be b(3). Let t = 34581/276712 + 1/34589. Factor t*w**d + 1/8*w**2 - 1/8*w - 1/8.
(w - 1)*(w + 1)**2/8
Let r(d) be the first derivative of 1/9*d**3 + d - 2/3*d**2 + 8. Factor r(j).
(j - 3)*(j - 1)/3
Let c(m) be the second derivative of -m**6/55 - 17*m**5/55 - 21*m**4/22 + 4*m**3/33 + 36*m**2/11 + 57*m + 3. Let c(n) = 0. What is n?
-9, -2, -1, 2/3
Let u(v) be the first derivative of v**7/420 - v**6/100 - v**5/200 + v**4/40 + v + 2. Let d(q) be the first derivative of u(q). Let d(n) = 0. What is n?
-1, 0, 1, 3
Solve -15*s**2 - s**5 + 4*s**5 + 3*s**4 + 20 - 15*s**3 - 40 + 32 + 12*s = 0.
-2, -1, 1, 2
Let l be (-10)/(-18) + ((-255)/(-17))/(-135). Suppose -l*s**2 + 4/3*s + 16/9 = 0. What is s?
-1, 4
Suppose 4*o = -5*c - 37, 2*c - c = -o - 8. Let r be 26/4 - o/2. Determine q, given that -11*q - 3*q - 4*q**2 - q + 3*q - r = 0.
-2, -1
Let s(k) be the first derivative of -2/9*k**2 + 2/27*k**3 + 7 + 2/9*k. Find h, given that s(h) = 0.
1
Let l(d) = -d + 3. Suppose h - 1 = -3. Let n be l(h). Suppose -o**4 + 6*o**5 - 4*o**2 - 7*o**4 - 4*o**4 + 12*o**3 - 2*o**n = 0. What is o?
0, 1
Let o(p) = -p**3 - 71*p**2 - 83*p + 140. Let t(w) = -140*w**2 - 165*w + 280. Let m(h) = -5*o(h) + 3*t(h). Determine c so that m(c) = 0.
-2, 1, 14
Let v(t) be the first derivative of t**4/4 + 13*t**3 + 507*t**2/2 + 2197*t + 89. What is p in v(p) = 0?
-13
Determine w, given that -21 + w**4 - 22*w**2 - 6*w**4 + 6 - 38*w**2 - 30*w**3 - 56*w + 6*w = 0.
-3, -1
Factor -2 + 15*k - 14*k**3 - 10 - 11*k + 2*k**4 + 25*k**2 - 5*k**4.
-(k - 1)**2*(k + 6)*(3*k + 2)
Suppose -u - 2*k = 0, 234*k - 14 = -8*u + 232*k. Factor 4/9*t**4 - 4/9*t**u - 8/9*t**3 + 0 + 8/9*t.
4*t*(t - 2)*(t - 1)*(t + 1)/9
Let v(t) be the third derivative of -t**5/90 + 19*t**4/6 - 361*t**3 - 170*t**2. Solve v(b) = 0 for b.
57
Let g(f) = 109*f - 5010. Let m be g(46). Factor 0*a**m + 0*a + 2/3*a**5 + 0 - 4/3*a**2 - 2*a**3.
2*a**2*(a - 2)*(a + 1)**2/3
Let b(x) = -2*x - 26. Let w be b(-14). Suppose -w*z + 12 = 4*u, -4*z - 2*u + 11 = -7*u. Suppose -6/7*r + 0 + 17/7*r**2 + 16/7*r**3 - r**z = 0. Calculate r.
-1, 0, 2/7, 3
What is n in -32*n**3 + 22*n**3 - 18*n**2 - 78*n**2 + 40*n = 0?
-10, 0, 2/5
Let c(m) be the third derivative of m**7/1575 + m**6/225 - 7*m**5/450 - m**4/18 + 133*m**2. Factor c(j).
2*j*(j - 2)*(j + 1)*(j + 5)/15
Suppose 3*y = 4*i - 6*i + 16, -y + 2*i = 0. Let h(o) be the second derivative of o + o**2 + 0 - 1/6*o**3 + 1/20*o**5 - 1/6*o**y. Solve h(r) = 0 for r.
-1, 1, 2
Let g be (2/(-1))/(-6) - (-1205)/723. Solve 0*c - 3/8 + 3/8*c**g = 0 for c.
-1, 1
Factor 15/7*u - 3/7*u**2 - 12/7.
-3*(u - 4)*(u - 1)/7
Let r(y) be the first derivative of 4 + 0*y + y**4 - y**2 + 0*y**3 - 1/3*y**6 + 0*y**5. Solve r(s) = 0.
-1, 0, 1
Let i = -15 - -20. What is q in 5*q - 3*q - 4*q - i*q**2 - 311*q**3 + 308*q**3 = 0?
-1, -2/3, 0
Let c = -108 - -113. Let v(d) be the second derivative of 2/15*d**6 - 1/21*d**7 + 1/3*d**3 + 0*d**c + 0*d**2 + 0 + 4*d - 1/3*d**4. Factor v(h).
-2*h*(h - 1)**3*(h + 1)
Let z(u) = u**2 - 17*u + 16. Let o be z(1). Let h(s) be the first derivative of 0*s**2 + 4 + o*s**4 + 3*s + 3/5*s**5 - 2*s**3. Determine g so that h(g) = 0.
-1, 1
Let w = 25/119 - -545/238. Solve w*t**2 - 55/4*t + 25/4 - 35/4*t**4 + 5/4*t**5 + 25/2*t**3 = 0 for t.
-1, 1, 5
Let k(z) be the third derivative of z**8/448 - 2*z**7/105 - 29*z**6/240 - z**5/5 - z**4/96 + z**3/3 - 447*z**2. Find n, given that k(n) = 0.
-1, 1/3, 8
Let w = 17681687/4762041 - 2110/5609. Let c = w - 1/283. Factor -c*o + 4/3 - 2/3*o**3 + 8/3*o**2.
-2*(o - 2)*(o - 1)**2/3
Suppose -6*k = 18 + 12. Let q(s) = 5*s**3 - 2*s**2. Let n(f) = -6*f**3 + 2*f**2. Let i(h) = k*q(h) - 4*n(h). Factor i(z).
-z**2*(z - 2)
Suppose -2*s - 13 = -c + 13, 56 = 2*c - 3*s. Let u = 36 - c. Find y such that 19*y - 20*y - y**3 + 0*y**u + 2*y**2 = 0.
0, 1
Factor -4 - 1/4*j**2 + 5/2*j.
-(j - 8)*(j - 2)/4
Let s(b) = -3*b - 3*b - 29*b**2 - 3*b + 0*b. Let f(h) = 7*h**2 + 2*h. Let p(x) = 9*f(x) + 2*s(x). Factor p(w).
5*w**2
Let f(g) be the second derivative of -g**5/20 - 41*g**4/12 - 79*g**3/6 - 39*g**2/2 - 14*g. Factor f(b).
-(b + 1)**2*(b + 39)
Let q(b) be the second derivative of -b**6/30 + b**5/4 - b**4/4 - 5*b**3/6 + 2*b**2 - 4*b - 11. Factor q(f).
-(f - 4)*(f - 1)**2*(f + 1)
Find v such that 0 + 1/5*v**3 + 2/5*v**2 + 0*v = 0.
-2, 0
Let t = -41 + 43. Solve -5*w**t + 0*w**4 - 5*w**3 + 5*w**4 + 37*w**5 - 32*w**5 = 0.
-1, 0, 1
Let d(u) be the first derivative of -7*u**6/3 + 102*u**5/5 - 28*u**4 + 8*u**3 + 140. What is r in d(r) = 0?
0, 2/7, 1, 6
Let q(p) be the first derivative of 11 - 2/3*p**3 + 0*p + p**2. Factor q(h).
-2*h*(h - 1)
Suppose -2*b = -2*b - 10*b. Let h(x) be the third derivative of -1/40*x**6 + 0 - 8*x**2 + 1/15*x**5 + 0*x + b*x**3 - 1/2