d + 65 = 0, 2*r - 6*r + 75 = -5*d. Let s be (-5)/2*(-4)/r. What is y in 0*y - 2/5 + s*y**2 = 0?
-1, 1
Let z = 2 + 7. Suppose 0 = -0*h - h - i + 1, -3*i - z = -h. Solve -2*y + 4*y**3 + 0*y**h + 2*y**5 - 4*y**5 = 0 for y.
-1, 0, 1
Let f(a) be the first derivative of a**5/150 + a**4/20 + 2*a**3/15 - 5*a**2/2 + 3. Let g(x) be the second derivative of f(x). Factor g(v).
2*(v + 1)*(v + 2)/5
Let k(b) be the second derivative of 1/2*b**2 + 1/6*b**4 - 7/180*b**5 + 0 + 3*b + 2/9*b**3. Let t(o) be the first derivative of k(o). Solve t(z) = 0.
-2/7, 2
Let q(w) be the third derivative of -w**5/40 + w**4/16 + w**3/2 + 2*w**2. Suppose q(t) = 0. What is t?
-1, 2
Let b be (-7)/(70/15)*(-4)/14. Factor -3/7*v - b*v**2 + 6/7.
-3*(v - 1)*(v + 2)/7
Let r(y) be the third derivative of y**5/120 - y**4/16 + y**3/6 + 2*y**2. Determine s so that r(s) = 0.
1, 2
Let o(b) = -b**5 - 5*b**4 + 6*b**3 - 5*b. Let c(z) = z**4 - z**3 + z. Let s(m) = -5*c(m) - o(m). Suppose s(h) = 0. What is h?
-1, 0, 1
Let t(b) be the second derivative of 0*b**2 + 0 - b - 3/80*b**5 + 1/4*b**3 - 7/16*b**4 + 3/8*b**6 - 9/56*b**7. Determine h so that t(h) = 0.
-2/3, 0, 1/3, 1
Suppose 0 = 3*h + h + 60. Let l(c) = -2*c**4 + 9*c**3 - 9*c + 2. Let d(f) = -f**4 + 4*f**3 - 4*f + 1. Let b(z) = h*d(z) + 6*l(z). Factor b(w).
3*(w - 1)**3*(w + 1)
Let p(q) be the second derivative of 5*q**4/66 + q**3/11 - 2*q**2/11 - 3*q. Factor p(f).
2*(f + 1)*(5*f - 2)/11
Let t(n) = 2*n + 1. Let m be t(1). Factor -3*p**2 - p**m + 5*p**3 + p**2 - 2*p**4.
-2*p**2*(p - 1)**2
Let o(z) = -38 + z**2 + 38. Let v(b) = 2*b**5 - 6*b**3 - 7*b**2. Let t(d) = 3*o(d) + v(d). Factor t(k).
2*k**2*(k - 2)*(k + 1)**2
Let b(d) be the first derivative of 1/15*d**3 + 1/25*d**5 - 1/150*d**6 + 2*d - 1 + 0*d**2 - 1/12*d**4. Let t(m) be the first derivative of b(m). Factor t(c).
-c*(c - 2)*(c - 1)**2/5
Let z(p) = 9*p - 3. Let m be z(3). Let n = m + -45/2. Factor -3/4*k + 3/2*k**2 - 3/4*k**4 - 3/4*k**5 - 3/4 + n*k**3.
-3*(k - 1)**2*(k + 1)**3/4
Let c(i) be the first derivative of -i**6/324 - 7*i**5/540 - i**4/54 + i**3/3 - 1. Let v(s) be the third derivative of c(s). Factor v(l).
-2*(l + 1)*(5*l + 2)/9
Let d(q) be the second derivative of q**5/35 + 8*q**4/21 + 40*q**3/21 + 32*q**2/7 + 23*q - 2. Solve d(f) = 0.
-4, -2
Let w(p) = 2*p**2 - 7*p + 2. Let v be w(6). Let t = v - 1. Determine d so that -2*d**2 - 31*d**3 + 2*d**4 + t*d**3 = 0.
-1, 0, 1
Suppose 3*x + 2*a = -12, 4*x + 7 = 2*x - a. Let k be (-1 - 0)/(x/24). What is q in 2*q - 10*q**2 + 6*q**3 - 4 - 6*q**2 + k*q = 0?
2/3, 1
Let l(g) be the second derivative of g**4/54 + 2*g**3/27 - 9*g. Suppose l(m) = 0. What is m?
-2, 0
Let o(s) be the second derivative of -s**6/135 + s**5/90 + s**4/27 - 9*s. Factor o(n).
-2*n**2*(n - 2)*(n + 1)/9
Let a = 159 + -1429/9. Let o(n) be the third derivative of n**2 + 0*n - 1/45*n**5 + a*n**3 + 0 - 1/36*n**4 + 1/180*n**6. Factor o(r).
2*(r - 2)*(r - 1)*(r + 1)/3
Suppose -k = -4*b - 20, -4*b - 20 = -4*k - 0*b. Suppose 2*q = 5*a - 2*a + 13, -4*a = -5*q + 22. Factor 0*t + k*t**3 + 0*t**q - 2/3*t**4 - 2/3*t**5 + 0.
-2*t**4*(t + 1)/3
Suppose -3*r + 5 = -1. Factor 7*k + 8 + 4*k**r + 4*k + k.
4*(k + 1)*(k + 2)
Let n = 4/817 + 7333/4085. Factor 3/5 + 3/5*l**3 + n*l + 9/5*l**2.
3*(l + 1)**3/5
Let d(q) be the second derivative of q**8/480 - 4*q**7/315 + 11*q**6/360 - q**5/30 - q**4/6 + 7*q. Let v(p) be the third derivative of d(p). Factor v(z).
2*(z - 1)**2*(7*z - 2)
Let a(s) be the third derivative of 1/180*s**6 + 0*s**4 + 0*s + 0*s**3 - 1/315*s**7 + 0 + 3*s**2 + 0*s**5. Factor a(g).
-2*g**3*(g - 1)/3
Let v be 58/18 - 6/27. Factor 16*p**2 - 2*p - 20*p**2 + 0*p**3 - 2*p**v.
-2*p*(p + 1)**2
Let -789*j**2 - 300*j + 72*j**3 - 49*j**4 - 99*j**3 - 36 - 645*j**3 - 98*j**4 = 0. What is j?
-3, -1, -2/7
Suppose 0 = 2*l - 7*l + 10. Let q(u) be the first derivative of -2/5*u**5 + u**4 + 0*u**3 + 2*u + 1 - 2*u**l. Determine t so that q(t) = 0.
-1, 1
Let a(g) = -g**3 + 86*g**2 - 536*g + 1084. Let l(p) = 5*p**3 - 515*p**2 + 3215*p - 6505. Let r(b) = 25*a(b) + 4*l(b). Determine m so that r(m) = 0.
6
Let n = -178/7 - -186/7. Solve n - 2/7*m**2 + 0*m = 0.
-2, 2
Let m(l) = -7*l**2 - 8*l - 8. Let x be (0 - 0) + (13 - 3). Let r(n) = 4*n**2 + 4*n + 4. Let o(f) = x*r(f) + 6*m(f). Find t, given that o(t) = 0.
-2
Let f(l) be the second derivative of l**4/18 - l**3/3 - 11*l. Determine c, given that f(c) = 0.
0, 3
Let a(g) be the second derivative of g**5/60 + g**4/24 - g**3/3 - g**2 - 3*g. Let m(t) be the first derivative of a(t). What is o in m(o) = 0?
-2, 1
Let z(i) be the second derivative of i**8/168 - i**6/30 + i**4/12 + i**2 + i. Let a(n) be the first derivative of z(n). Factor a(p).
2*p*(p - 1)**2*(p + 1)**2
Suppose 0 = -3*c + 3*i - 9, c - 2*i + 15 = 2*i. Let f be (-3)/(1*(c + -2)). Factor 56*j**2 - 24*j - 72*j**f - 7*j**2 - 17*j**2 + 34*j**2 + 3 + 27*j**4.
3*(j - 1)**2*(3*j - 1)**2
Let a(c) be the second derivative of -c**6/180 + c**5/120 + 7*c. Factor a(k).
-k**3*(k - 1)/6
Suppose b - 6*b = 4*c - 23, -3*c - 2*b + 12 = 0. Let -1/2*l + 1/2*l**3 - 1/2*l**c + 1/2 = 0. Calculate l.
-1, 1
Let h(p) = p**3 - p**2 - p - 1. Let n(q) = -10*q**3 + 6*q**2 + 6*q + 8. Let a(o) = 18*h(o) + 2*n(o). Factor a(t).
-2*(t + 1)**3
Find h such that 1/5*h**3 + 2/5*h - 3/5*h**2 + 0 = 0.
0, 1, 2
Let n(h) be the first derivative of -h**4/10 + 4*h**3/5 - 12*h**2/5 + 16*h/5 - 6. Factor n(s).
-2*(s - 2)**3/5
Let s(c) be the second derivative of -c - 1/10*c**5 + 1/6*c**4 + 0*c**2 + 0 + 0*c**3. Determine a so that s(a) = 0.
0, 1
Factor -2/11*q**4 + 6/11*q**2 + 10/11*q + 4/11 - 2/11*q**3.
-2*(q - 2)*(q + 1)**3/11
Let f be 785/(-70) - 2/7. Let k = -10 - f. Factor -6*p**2 + 7/2*p**3 + k*p + 1.
(p - 1)**2*(7*p + 2)/2
Let u(h) be the third derivative of 0*h**3 - 1/48*h**4 - 1/120*h**5 + h**2 + 0 + 0*h. Factor u(m).
-m*(m + 1)/2
Let v(s) be the second derivative of s**4/12 - 10*s**3/3 + 50*s**2 + 44*s. Factor v(o).
(o - 10)**2
Let f be (4/(-56))/((-3)/(36/1)). Solve 3/7*z - 3/7*z**2 + f = 0 for z.
-1, 2
Let i(x) be the second derivative of -x**7/77 + 2*x**6/55 - 3*x**5/110 + 12*x. Factor i(s).
-6*s**3*(s - 1)**2/11
Factor 3/5*r**5 - 12/5 - 3/5*r**3 + 9/5*r**4 - 33/5*r**2 - 36/5*r.
3*(r - 2)*(r + 1)**3*(r + 2)/5
Let g = -36 + 75/2. Determine m, given that 3/2 + 0*m - g*m**2 = 0.
-1, 1
Factor 1/4*l**5 + 1/4*l**3 + 0*l**2 + 0*l + 0 + 1/2*l**4.
l**3*(l + 1)**2/4
Let -5*k - 1 - 64*k**2 - 15*k + 2*k + 2*k = 0. What is k?
-1/8
Let i = -2 + 0. Let k = i + 5. Solve c**4 + 4*c**k + 0*c**3 - 3*c**3 = 0 for c.
-1, 0
Let w = 63/44 + -13/11. Factor 1/4 - 1/4*h**2 - 1/4*h + w*h**3.
(h - 1)**2*(h + 1)/4
Let n be (-2)/(-8) - (-14)/8. Suppose 9 = 27*w - 24*w. Factor -3*p + w*p**2 + 6 + p**n - 7*p**2.
-3*(p - 1)*(p + 2)
Suppose 2*p = -2*p + 24. Suppose -2*a = -p*a + 8. Factor 7*m**2 - 4*m**2 + 6*m**3 - 6*m**4 - 5*m**2 + a*m**5.
2*m**2*(m - 1)**3
Let r(g) = -g**2 + 5*g + 4. Let t be r(5). Factor -9*u - u**2 + t*u**2 - u**2 + 6 + u**2.
3*(u - 2)*(u - 1)
Suppose 0 + 2/15*a**2 - 4/15*a = 0. What is a?
0, 2
Let x be ((-3)/6)/((-21)/12). Let o = -1 + 1. Factor -2/7*k**2 + o - x*k**3 + 0*k.
-2*k**2*(k + 1)/7
Let p = -50 + 152/3. Let s be (1 - -1)*(-1)/(-1). Factor -p - 2/3*i**s - 4/3*i.
-2*(i + 1)**2/3
Let c(h) be the second derivative of -25*h**7/126 + 7*h**6/18 + h**5/4 - 35*h**4/36 + 5*h**3/9 + 21*h. Let c(t) = 0. Calculate t.
-1, 0, 2/5, 1
Suppose y = 7*y - 24. Let k = 14/11 + -48/55. Solve 0*w**2 + 0 - 2/5*w**3 + k*w**y + 0*w = 0.
0, 1
Let d(t) be the first derivative of t**4/24 + t**3/24 - t**2/8 + t + 4. Let k(m) be the first derivative of d(m). Factor k(f).
(f + 1)*(2*f - 1)/4
Let x be (2 - 3) + (3 - 1). Let s(f) = -5*f**4 + 5*f**3 - f**2 - 2*f. Let r(u) = -u**4 + u**3 - u**2. Let h(g) = x*s(g) - 3*r(g). Factor h(w).
-2*w*(w - 1)**2*(w + 1)
Let q(g) be the first derivative of -g**8/336 + g**7/210 + g**6/120 - g**5/60 + g**2 + 2. Let m(o) be the second derivative of q(o). Factor m(l).
-l**2*(l - 1)**2*(l + 1)
Let a = -242 + 534. Let j = a - 1452/5. Factor 8/5 + 2/5*g**2 + j*g.
2*(g + 2)**2/5
Let d(r) be the second derivative of r**6/135 + r**5/90 - r**4/54 - r**3/27 + 7*r. Factor d(y).
2*y*(y - 1)*(y + 1)**2/9
Factor 0*y - 6/7*y**4 - 15/7*y**5 + 0*y**2 + 0*y**3 + 0.
-3*y**4*(5*y + 2)/7
Let y = -2 + 6. Suppose 4*i**5 + 3*i**3 - i**4 - 3*i**5 + 3*