-1, 1
Let t(s) = -s**2 - 5*s - 4. Let j be -4*2/(8/3). Let y be t(j). Suppose -1/4*d**3 + 1/2*d**y - 1/4*d + 0 = 0. Calculate d.
0, 1
Let z(h) = -2*h - 4. Let c be z(-3). Let f be (-20)/35*(-175)/90. Solve 14/9*w**3 - 4/9*w + 0 - f*w**c = 0.
-2/7, 0, 1
Let j = -69 + 129/2. Let o = j - -5. Factor 1/2*z**2 + o*z + 0.
z*(z + 1)/2
Suppose -2*k + k = 4*v + 10, 3*v = k - 11. Suppose k + 18 = 4*w. Factor -13*j + 66*j**4 - 92*j**3 + 5 - 18*j**5 + 60*j**2 - 3 - w*j.
-2*(j - 1)**3*(3*j - 1)**2
Let b(m) be the second derivative of m**6/45 + 2*m**5/3 + 50*m**4/9 + 45*m. Factor b(k).
2*k**2*(k + 10)**2/3
Factor -41*j + 6*j + 29 + 7 - 5*j**2 + 4.
-5*(j - 1)*(j + 8)
Let a(q) = q. Let o be a(-3). Let f be 1*((-10)/6 - o). Factor 0 + f*c**4 + 0*c**3 - 4/3*c**2 + 2/3*c**5 - 2/3*c.
2*c*(c - 1)*(c + 1)**3/3
Let j(c) be the first derivative of -c**3/4 - 9*c**2/4 - 27*c/4 + 14. Let j(o) = 0. Calculate o.
-3
Suppose 4*d - d = -11*d. Factor d + 1/5*g**4 + 3/5*g**3 + 3/5*g**2 + 1/5*g.
g*(g + 1)**3/5
Let i(n) = -n**3 + 7*n**2 + 7*n + 10. Let p be i(8). Factor -x**p + 3*x**2 + 1 + 0 - 3*x**2.
-(x - 1)*(x + 1)
Solve -1 + 1/2*p**2 + 1/2*p = 0.
-2, 1
Suppose 2*h - 4*h + 4 = 0. Let i(v) be the first derivative of -3*v**h - 2 + 2/3*v**3 + 4*v. Factor i(q).
2*(q - 2)*(q - 1)
Let i(n) be the first derivative of -n**8/2688 - n**7/420 - n**6/192 - n**5/240 + n**2 + 2. Let j(k) be the second derivative of i(k). Factor j(f).
-f**2*(f + 1)**2*(f + 2)/8
Let q(k) be the first derivative of 0*k**2 + 0*k + 4/21*k**3 + 7 - 1/2*k**4 - 1/7*k**6 + 16/35*k**5. Let q(i) = 0. Calculate i.
0, 2/3, 1
Let n = -178/3 - -60. Let s be (-14)/(-21)*10 + -5. Factor -7/3*p**2 - s*p**3 - n*p + 0.
-p*(p + 1)*(5*p + 2)/3
Let p(n) be the second derivative of 0 + 1/30*n**4 + 1/15*n**3 - 1/75*n**6 + 10*n - 1/50*n**5 + 0*n**2. Let p(s) = 0. What is s?
-1, 0, 1
Let w(y) be the third derivative of y**5/390 + 15*y**2. Factor w(r).
2*r**2/13
Let y(z) = z - 5. Let k be y(7). Let -10*v + 2*v**2 + 12*v - 2*v**2 - v**k = 0. Calculate v.
0, 2
Let v(j) = -2*j**2 + 14*j. Let p(z) = z**2 - 5*z. Let a(w) = -8*p(w) - 3*v(w). Let a(t) = 0. Calculate t.
-1, 0
Let s(m) = 7*m**4 - m**3 - 6*m**2 + 6*m + 6. Let n(k) = 13*k**4 - 2*k**3 - 11*k**2 + 11*k + 11. Let j(i) = -6*n(i) + 11*s(i). Suppose j(c) = 0. What is c?
0, 1
Let z(o) be the first derivative of -o**6/33 + 4*o**5/55 + o**4/22 - 4*o**3/33 - 4. Determine t so that z(t) = 0.
-1, 0, 1, 2
Let t be ((-4)/(-49))/(-9 + (-585)/(-63)). Let t*q**2 - 2/7*q + 0 = 0. What is q?
0, 1
Let f be (-1)/(0 - 4/12). Factor 2*p**f - 23*p**2 + 3*p + 21*p**2 - 5*p - 2*p.
2*p*(p - 2)*(p + 1)
Let g be 0 + 0 + (-8)/(-4). Determine p so that -4/5*p**3 - 2/5*p**4 + 0*p + 0 - 2/5*p**g = 0.
-1, 0
Suppose 0 = -4*i + k + 1, -i - 4*k = k + 5. Factor -2/9*n**2 + i + 0*n.
-2*n**2/9
Let x(u) be the third derivative of u**6/24 + 7*u**5/12 + 55*u**4/24 + 25*u**3/6 - 2*u**2 - 13. Factor x(q).
5*(q + 1)**2*(q + 5)
Let g(v) be the first derivative of v**3 + 3*v**2 + 3*v - 42. Factor g(p).
3*(p + 1)**2
Let u = 1/57 - -55/114. Let o(c) = c**3 - 4*c**2 + 3*c + 2. Let j be o(3). Factor 2*n + u*n**j + 3/2.
(n + 1)*(n + 3)/2
Find g such that 0 - 9/8*g**3 - 1/8*g**5 - 5/8*g**4 - 1/4*g - 7/8*g**2 = 0.
-2, -1, 0
Let q(z) be the first derivative of z**4/4 + z**3/3 + z + 4. Let w(i) = 6*i**3 + 8*i**2 + i + 6. Let n(c) = 14*q(c) - 2*w(c). Let n(j) = 0. What is j?
-1, 1
Let j(t) be the third derivative of t**6/540 - t**5/135 + 18*t**2. Factor j(n).
2*n**2*(n - 2)/9
Factor 2/7*o**2 - 1/7*o + 1/7*o**3 - 2/7.
(o - 1)*(o + 1)*(o + 2)/7
Let c = 3 - 1. Suppose 2*y = j + 6, -2*y + 0*j = c*j. Factor 1/3*x**y + 1/3*x - 2/3.
(x - 1)*(x + 2)/3
Suppose 5*j = 10*j. Let -2/7*m + 2/7*m**3 + j + 0*m**2 = 0. What is m?
-1, 0, 1
Let q(z) = -9*z**2 + 3. Let l(y) = -8*y**2 + y + 2. Let i(m) = -6*l(m) + 5*q(m). Let i(c) = 0. Calculate c.
1
Let x(y) be the first derivative of 1444*y**3/3 + 152*y**2 + 16*y - 4. Factor x(m).
4*(19*m + 2)**2
Let s = -13 - -15. Factor s*h**2 + h**2 - h - 8*h.
3*h*(h - 3)
Let m(z) be the third derivative of z**5/30 + z**4/12 - z**3/6 + 2*z**2. Let a be m(-2). Factor 0*n**2 - n**2 + 3 - n**4 - 3 + 2*n**a.
-n**2*(n - 1)**2
Solve 2*l**5 + l**3 - 544*l**2 + 540*l**2 - 7*l**3 = 0 for l.
-1, 0, 2
Factor 4/11*m + 2/11 - 2/11*m**4 - 4/11*m**3 + 0*m**2.
-2*(m - 1)*(m + 1)**3/11
Let m = -13 + 17. Let 4/7*c + 2/7 - 2/7*c**m - 4/7*c**3 + 0*c**2 = 0. What is c?
-1, 1
Let k(c) = 4*c**2 + 2*c - 3*c + 0 - 2 - c**3. Let q be k(3). Factor l**q + l**2 - 2*l**3 - 4*l + 4*l.
l**2*(l - 1)**2
Let f(x) be the third derivative of x**8/1008 + x**7/315 - x**5/90 - x**4/72 + 7*x**2. Factor f(y).
y*(y - 1)*(y + 1)**3/3
Factor 3/4 - 1/4*z**2 + 1/2*z.
-(z - 3)*(z + 1)/4
Let i(q) be the third derivative of q**5/90 - 7*q**4/18 + 49*q**3/9 + 16*q**2. Factor i(k).
2*(k - 7)**2/3
Let l(n) = n**2 - 1. Let y = 12 - 13. Let u(v) = v**2 - 1. Let g(s) = y*l(s) - 2*u(s). Suppose g(t) = 0. What is t?
-1, 1
Let n(t) be the third derivative of -t**8/336 + t**7/70 - t**6/120 - t**5/20 + t**4/12 + 4*t**2. Let n(y) = 0. Calculate y.
-1, 0, 1, 2
Let x = -1 - 1. Let m be (-2)/((x*1)/4). Let -1 - q**3 + q**3 + 4*q**3 - 6*q**2 - q**m + 3*q + q = 0. Calculate q.
1
Suppose 0*m + m - 6 = 0. Solve -2*y**3 - 4*y + m*y**2 - 2*y**3 + 2*y**3 = 0.
0, 1, 2
Suppose -25 - 39 = 4*l. Let r be -3*(2 + l/6). Factor -8*u**3 - u - 3*u**3 + 10*u**3 + r*u**2.
-u*(u - 1)**2
Suppose 0 = 5*b - 4*t + 7, -3*b + 2*t = 3 - 0. Suppose i = -b + 4. Factor 0*u**4 + 0*u + 2/3*u**5 + 0 + 0*u**2 - 2/3*u**i.
2*u**3*(u - 1)*(u + 1)/3
Let b(g) be the third derivative of -g**7/735 + g**6/420 + g**5/210 - g**4/84 + 8*g**2. Find l, given that b(l) = 0.
-1, 0, 1
Determine o so that 4/7*o**4 + 0 - 4/7*o**2 + 4/7*o - 4/7*o**3 = 0.
-1, 0, 1
Let z(q) = q**4 - 19*q**3 + 31*q**2 + 12*q - 25. Let h(c) = c**4 - 13*c**3 + 21*c**2 + 8*c - 17. Let f(o) = 7*h(o) - 5*z(o). Let f(l) = 0. What is l?
-3, -1, 1
Suppose -4 = -2*d + 5*n, 71*d - 69*d - 4 = -5*n. Factor -1/2*m**d + 3/2*m - 1.
-(m - 2)*(m - 1)/2
Let c be 3 - (0 + 2)*-2. Let x = 9 - c. Factor 0*k - 2/7*k**x + 2/7.
-2*(k - 1)*(k + 1)/7
Suppose 0 = -0*m + m - 1. Let u be (0 - (m - 1))/1. Factor -3*z**2 - 1 + z + u*z + z + 2*z**2.
-(z - 1)**2
Suppose -m - 5*t = -17, m = 2*t + 3 - 7. Determine u, given that 2*u**2 - u**m + u**3 + 0*u**2 - 2*u**3 = 0.
0, 1
Suppose -v = v - 6. Suppose 0*h - 314*h**v - 8*h - 396*h**4 + 0*h**5 - 143*h**2 + 55*h**2 - 162*h**5 = 0. What is h?
-1, -2/9, 0
Let f(t) be the second derivative of 0 + 0*t**2 - 6*t - 1/135*t**6 - 1/27*t**3 - 1/30*t**5 - 1/18*t**4. Let f(q) = 0. Calculate q.
-1, 0
Solve -6/5 + 3/5*j**3 - 3/5*j + 6/5*j**2 = 0.
-2, -1, 1
Factor 3/2*m**2 + 3*m + 0.
3*m*(m + 2)/2
Let p(s) be the first derivative of -s**3/3 - 5*s**2/2 - 9. Factor p(q).
-q*(q + 5)
Let v = 52 + -50. Let s(j) be the second derivative of 1/20*j**5 - j - 1/30*j**6 - 1/6*j**3 + 0 + 0*j**v + 1/12*j**4. Determine x so that s(x) = 0.
-1, 0, 1
Suppose 2*m - 12 + 2 = 0. Suppose -m*d - y + 9 = -10, -11 = -d - 2*y. Factor 0 + 2/3*h**d + 4/9*h + 10/9*h**2.
2*h*(h + 1)*(3*h + 2)/9
Let c(t) = 9*t**4 - 21*t**3 + 6*t + 6. Let r(i) = 18*i**4 - 42*i**3 + i**2 + 11*i + 11. Let d(o) = -11*c(o) + 6*r(o). Factor d(h).
3*h**2*(h - 2)*(3*h - 1)
Let l(q) = q**3 + q**2 + 2. Let j be l(0). Factor -4 - k - 3*k - k**j + 0*k.
-(k + 2)**2
Let h be (43 + -45)/((-4)/6). Factor 3*w**2 + 3/2 - h*w**3 - 9/2*w**4 + 9/2*w - 3/2*w**5.
-3*(w - 1)*(w + 1)**4/2
Solve -11 - o + 41 - 21*o - 10*o**2 - 33*o = 0.
-6, 1/2
Let h(r) = r**3 + 8*r**2 + 3*r + 27. Let b be h(-8). Let y(p) be the second derivative of 0 + 1/3*p**2 - 1/18*p**4 - p + 0*p**b. Factor y(t).
-2*(t - 1)*(t + 1)/3
Let p(w) be the third derivative of w**6/480 + w**5/80 + w**4/48 - 5*w**2 - 2. Factor p(l).
l*(l + 1)*(l + 2)/4
Let s(f) be the second derivative of 2*f**6/75 - 8*f**4/15 + 32*f**2/5 + 16*f. Determine u so that s(u) = 0.
-2, 2
Suppose 1 = o + 2. Let z(d) be the first derivative of -d**3/3 + d - 1. Let w(q) = 2*q**2 + 2*q - 4. Let m(x) = o*w(x) - 4*z(x). Factor m(c).
2*c*(c - 1)
Let d(j) be the third derivative of -j**5/12 + 5*j**4/12 - 13*j**2. Factor d(q).
-5*q*(q - 2)
Let z(n) be the second derivative of -n**6/10 - n**5/20 + 11*n**4/36 + n**3/6 - n**2/3 - 7*n. Find i such that z(i) = 0.
-1, -2/3, 1/3, 1
Let m = 17/126 