= j**3 + j + 1. Let u(o) = -7*o**3 - 2*o**2 - 7*o - 6. Let w = -14 - -20. Let d(b) = w*t(b) + u(b). Solve d(l) = 0 for l.
-1, 0
Suppose 8 + 0*l**3 - 10 + l**3 - 3*l = 0. What is l?
-1, 2
Let n(l) be the third derivative of -l**5/360 - l**4/36 + 5*l**3/36 - 35*l**2. Let n(b) = 0. What is b?
-5, 1
Let o(d) be the first derivative of -3 - 9*d**2 + 42*d**4 - 3*d + 3*d**3 + 144/5*d**5. Let o(g) = 0. What is g?
-1, -1/4, 1/3
Let i = -13 + 17. Let z(n) be the first derivative of i + 0*n**3 - 1/6*n**2 + 0*n + 0*n**5 + 1/6*n**4 - 1/18*n**6. Factor z(t).
-t*(t - 1)**2*(t + 1)**2/3
Let w = -5 + 11. Suppose -3*t = -w - 0. Factor 4*l**3 - 6*l**3 - 2*l**4 + 2*l**t + 2*l + 0*l**2.
-2*l*(l - 1)*(l + 1)**2
Let u(v) be the first derivative of v**8/84 + v**7/70 - v**6/24 - v**5/20 + v**4/24 - v**2 - 3. Let d(f) be the second derivative of u(f). Factor d(i).
i*(i - 1)*(i + 1)**2*(4*i - 1)
Let c(t) be the second derivative of t**8/84 - t**7/210 - t**6/18 + t**5/30 + 2*t**3/3 - 6*t. Let j(b) be the second derivative of c(b). Solve j(q) = 0 for q.
-1, 0, 1/5, 1
Let r be 2/(-3)*-3*-1. Let m be (r + 3)*(-4)/(-2). Factor -l**2 - 2*l + 6*l**5 - 4*l**5 + 5*l**m - 4*l**4.
2*l*(l - 1)**3*(l + 1)
Let h = 4 - 3. Let i(s) = 5*s**4 - 5*s**3 - 3*s**2. Let c(l) = l**4 - l**3 - l**2. Let f be 3/2*-1*2. Let j(k) = f*c(k) + h*i(k). Let j(n) = 0. Calculate n.
0, 1
Let y(q) be the second derivative of -q**5/60 - q**4/48 + q**3/12 - q**2 + 3*q. Let u(b) be the first derivative of y(b). Solve u(s) = 0.
-1, 1/2
Let l(o) = -o**3 + 5*o**2 + 2*o - 7. Let h be l(5). Factor 2*v**4 - 6*v**h + 4*v**3 + v**4 - 5*v**4.
-2*v**3*(v + 1)
Let s(g) = g**4 - g**3 - g**2 - g - 1. Let p(n) = -15*n**4 + 9*n**3 + 15*n**2 + 15*n + 12. Let x(q) = -p(q) - 12*s(q). What is o in x(o) = 0?
-1, 0, 1
Let r(n) be the third derivative of -n**5/300 + n**4/120 + n**3/5 + 45*n**2. Factor r(l).
-(l - 3)*(l + 2)/5
Let y = 13 - 11. Let o(h) = h + 5. Let w be o(-5). Factor -g + g**2 - 4*g**2 + w*g**y - 2*g**3.
-g*(g + 1)*(2*g + 1)
Let a(p) be the third derivative of -p**6/420 + p**4/28 - 2*p**3/21 + 6*p**2. Factor a(k).
-2*(k - 1)**2*(k + 2)/7
Suppose -2*m = -3 - 1. Suppose n**4 + 1 + 2*n**m + n**4 - 5*n**4 - 4*n + 4*n**3 = 0. Calculate n.
-1, 1/3, 1
Let d(b) = -14*b - 4. Suppose -5*w + 8*w = -12. Let r be d(w). What is g in -350/3*g**4 + 16/3 - r*g**2 - 40/3*g + 530/3*g**3 = 0?
-2/7, 2/5, 1
Let u(w) be the third derivative of w**4/24 + 3*w**3/2 + 10*w**2. Let j be u(-6). Factor 2/3*i - 2/3*i**2 - 2/3*i**j + 2/3*i**4 + 0.
2*i*(i - 1)**2*(i + 1)/3
Let d(o) be the third derivative of 0*o**6 + 0*o**3 + 1/108*o**4 + 1/135*o**5 + 0 - 1/1512*o**8 + 0*o - 2*o**2 - 2/945*o**7. Factor d(l).
-2*l*(l - 1)*(l + 1)**3/9
Let p(y) be the second derivative of y**6/30 - y**5/60 - y**4/4 - y**3/6 + y**2/3 - 36*y. Suppose p(r) = 0. Calculate r.
-1, 1/3, 2
Let u = 2 - -1. Let z = -17 + 21. Factor 2*v**2 - v - z*v**2 + 1 + v**2 + v**u.
(v - 1)**2*(v + 1)
Let z(t) be the third derivative of -t**6/60 - t**5/15 + 7*t**4/12 - 4*t**3/3 - 46*t**2. Factor z(u).
-2*(u - 1)**2*(u + 4)
Let u = 113 + 20. Let v be u/5 - 8/(-20). Factor 27*s - 3*s**2 - v*s.
-3*s**2
Let h(q) be the third derivative of -q**5/60 - q**4/2 - 6*q**3 - 12*q**2. Factor h(n).
-(n + 6)**2
Suppose 0 = -17*g - 13 + 98. Find x, given that 5/2*x**4 - 1/2*x**5 - g*x**3 + 1/2 + 5*x**2 - 5/2*x = 0.
1
Let o(c) be the first derivative of -c**4/8 + c**2/4 + 5. Factor o(z).
-z*(z - 1)*(z + 1)/2
Let f be ((-6)/(-12))/(1/(-10)). Let p(c) = 6*c**3 - 15*c**2 - 2*c - 8. Let u(h) = 4*h**3 - 10*h**2 - h - 5. Let n(w) = f*p(w) + 8*u(w). Factor n(m).
m*(m - 2)*(2*m - 1)
Suppose -2*j + 2*n + 16 = -0*j, -2*j = 2*n - 24. Let r(c) = -2*c - 3*c + 4*c - 3 - 2*c**2. Let k(y) = 3*y**2 + 2*y + 5. Let s(x) = j*r(x) + 6*k(x). Factor s(f).
-2*f*(f - 1)
Factor -3*z + 7*z**3 - 4*z**3 - 2*z + 2*z**3.
5*z*(z - 1)*(z + 1)
Let m be ((-12)/(-24))/((-9)/12 + 1). Let p(y) be the second derivative of 0 + 2/3*y**3 - 7/10*y**5 + 1/6*y**4 - 2/5*y**6 + y + 0*y**m. Solve p(z) = 0.
-1, -2/3, 0, 1/2
Let a(w) be the first derivative of 2/15*w**3 + 1 + 0*w**2 + 0*w + 14/25*w**5 + 1/5*w**6 + 1/2*w**4. Find i, given that a(i) = 0.
-1, -1/3, 0
Let a be (-1)/((-5)/(-1)) + 525/125. Let d(t) be the first derivative of -5/3*t**3 + 0*t + 1 - t**a - 1/2*t**2. Factor d(k).
-k*(k + 1)*(4*k + 1)
Let r(s) be the second derivative of s**6/135 - s**5/45 + s**4/54 - 28*s. Factor r(m).
2*m**2*(m - 1)**2/9
Suppose 4 = -3*r + 16. Factor -12*f**2 + 24*f**3 - 20*f**r + f + f - 60*f**5 + 66*f**5.
2*f*(f - 1)**3*(3*f - 1)
Let q(r) be the first derivative of -r**4/12 - r**3/6 + 3*r + 9. Let y(c) be the first derivative of q(c). Factor y(g).
-g*(g + 1)
Factor 0 + 0*n**2 + 0*n - 1/4*n**4 - 1/2*n**3.
-n**3*(n + 2)/4
Let q be -1 + 61*-2 + 3. Let f be q/(-175) + (-2)/5. Factor -6/7*z + f*z**3 + 0*z**2 + 4/7.
2*(z - 1)**2*(z + 2)/7
Let t(a) be the third derivative of a**6/180 - 2*a**5/45 + 3*a**2 - 2*a. Solve t(y) = 0 for y.
0, 4
Let k(x) be the first derivative of -1/60*x**6 + 0*x + x**3 + 1 + 1/15*x**5 - 1/12*x**4 + 0*x**2. Let v(y) be the third derivative of k(y). Factor v(f).
-2*(f - 1)*(3*f - 1)
Let g(v) be the third derivative of v**8/1848 + 4*v**7/1155 + v**6/660 - v**5/33 - v**4/33 + 8*v**3/33 - 6*v**2. Factor g(h).
2*(h - 1)**2*(h + 2)**3/11
Suppose -12 = 2*i + 8. Let t = i - -13. Factor -1/3*d**t + 1/3*d**2 + 1/3*d - 1/3.
-(d - 1)**2*(d + 1)/3
Let u be 16/10 + (-14)/35*-5. Factor u*c**2 + 3/5*c**4 + 3/5 - 12/5*c**3 - 12/5*c.
3*(c - 1)**4/5
Suppose 6*x = 2*x + 24. Let v(d) = -3*d + 2*d + d**2 - 2 + 5. Let o(w) = 1. Let b(n) = x*o(n) - 2*v(n). Factor b(t).
-2*t*(t - 1)
Factor -4/5*c + 0 + 2/5*c**3 - 2/5*c**2.
2*c*(c - 2)*(c + 1)/5
Let f(v) be the first derivative of -v**5/40 - v**4/4 - 3*v**3/4 + 5*v**2 + 3. Let i(t) be the second derivative of f(t). Suppose i(n) = 0. Calculate n.
-3, -1
Let h(z) be the third derivative of -z**7/630 - z**6/120 - z**5/60 - z**4/72 - 17*z**2. Factor h(y).
-y*(y + 1)**3/3
Let d(j) = 2 - 4 + 2 + j. Let m(f) = -f**2 + 10*f + 2. Let s(o) = -22*d(o) + 2*m(o). Suppose s(c) = 0. Calculate c.
-2, 1
Let m(a) be the third derivative of -2*a**7/105 + a**5/15 - 2*a**2. What is o in m(o) = 0?
-1, 0, 1
Factor -10*k**4 + 7/4*k**5 - 4*k + 0 + 18*k**3 - 8*k**2.
k*(k - 2)**3*(7*k + 2)/4
Factor -2/9*v**2 - 2/9*v + 4/9.
-2*(v - 1)*(v + 2)/9
Let x(f) = -f + 1. Let b be x(1). Let s(z) be the third derivative of 1/240*z**6 + 0*z + b*z**3 - 2*z**2 + 0 - 1/48*z**4 + 0*z**5. Find j such that s(j) = 0.
-1, 0, 1
Suppose 6*b + 5 = 4*a + 7*b, 2*a + 3*b = 5. Suppose -z - a = -d, 3*z - z + d = 10. Factor z*o**3 + 0*o**3 - 5*o**3 - 4*o - 6*o**2.
-2*o*(o + 1)*(o + 2)
Let k = 15 + -15. Let h(t) be the third derivative of 0*t**4 + 0 + 1/420*t**7 + t**2 + 0*t**6 - 1/60*t**5 + 1/12*t**3 + k*t. Solve h(v) = 0.
-1, 1
Let f(j) be the third derivative of -j**8/105 + 34*j**7/525 - 2*j**6/15 + 4*j**5/75 - 2*j**2. Solve f(u) = 0 for u.
0, 1/4, 2
Let s = 5 - 6. Let q be -3*(s - 15/9). Factor -4*l**3 + 2*l**3 + 16*l**2 + 8*l + q*l**3.
2*l*(l + 2)*(3*l + 2)
Let a(m) be the third derivative of 0 + 1/90*m**5 + 2*m**2 + 1/36*m**4 + 0*m - 2/9*m**3. Find t, given that a(t) = 0.
-2, 1
Factor -2/3 - 2*p - 2/3*p**3 - 2*p**2.
-2*(p + 1)**3/3
Let p(r) be the third derivative of -r**6/240 + r**5/120 + 7*r**2. Factor p(l).
-l**2*(l - 1)/2
Suppose 4*q = -5*d - 10, 3*d + 4*q = 3*q + 1. Suppose -4*c - 4*o + 8 = -12, d*o - 2 = 2*c. Let 2*z**3 - c*z**2 - 4*z + 3*z - 3*z**3 = 0. Calculate z.
-1, 0
Let t(z) = z**2 + z. Let b(o) = 3*o**2 + 2*o. Let a = -32 - -47. Let v(p) = a*t(p) - 6*b(p). Find g such that v(g) = 0.
0, 1
Let k(i) be the second derivative of -5/3*i**3 + 2*i - 2/3*i**4 - i**2 + 0. Solve k(j) = 0.
-1, -1/4
Let c be 1/9*-3*15. Let r = -5 - c. Factor 2/3*s**4 + r*s - 2/3*s**5 + 0 + 2/3*s**3 - 2/3*s**2.
-2*s**2*(s - 1)**2*(s + 1)/3
Let f be ((3/2)/3)/1. Let q be 0 + ((-20)/24)/((-25)/15). Solve q + f*z**2 - z = 0.
1
Let c(v) be the first derivative of 1/3*v**3 - 3*v + 2/9*v**4 - 1/3*v**2 + 3. Let t(b) be the first derivative of c(b). Determine y so that t(y) = 0.
-1, 1/4
Let i = 23 - 17. Suppose 0 = -2*t - 0 + i. Determine k, given that -1/5*k**4 + 0 + 0*k + 1/5*k**2 + 0*k**t = 0.
-1, 0, 1
Let r(j) be the third derivative of 0*j + 2*j**2 + 0 + 1/90*j**6 - 1/18*j**3 - 1/20