= 4*v + 2*h. What is y in 435*y**v + 11*y**2 - 433*y**3 + 6*y - 18*y - y**4 - 36 = 0?
-2, 3
Let h(f) be the first derivative of 0*f + 1 + f**2 - 1/150*f**5 - 5/3*f**3 + 1/6*f**4. Let j(v) be the second derivative of h(v). Factor j(y).
-2*(y - 5)**2/5
Suppose 9*n - 10 = 14*n. Let c be (n - 3/(-1)) + 1. Determine s, given that s**c + 3*s**4 - s**5 + 0*s**3 - 4*s**3 + s**3 + 0*s**5 = 0.
0, 1
Let m be (12/72 - 3/(-18))/1. Factor -16/3*p + 7/3*p**2 - m*p**3 + 4.
-(p - 3)*(p - 2)**2/3
Let v(u) = 10*u - 37. Let o be v(4). Let m(l) = l**3 - 2*l**2 - 3*l + 4. Let n be m(o). Determine q so that 0*q**3 - 4/7*q + 2/7*q**n - 6/7*q**2 + 0 = 0.
-1, 0, 2
Let h(w) = 68*w - 610. Let u be h(9). Let n(p) be the first derivative of 0*p**3 + 2/21*p**6 - 1/7*p**4 - 11 + 0*p**u + 0*p**5 + 0*p. Factor n(l).
4*l**3*(l - 1)*(l + 1)/7
Let p(z) be the second derivative of -z**6/180 - z**5/12 - 7*z**3/3 + 19*z. Let l(h) be the second derivative of p(h). Factor l(f).
-2*f*(f + 5)
Let a(g) = g**2 + 31*g - 51. Let m(h) = 2*h + 1. Let n(r) = -2*a(r) + 6*m(r). Determine b, given that n(b) = 0.
-27, 2
Let y(q) be the second derivative of 1/27*q**4 + 0 - 12*q + 4/9*q**3 + 2*q**2. Factor y(f).
4*(f + 3)**2/9
Let y(s) be the first derivative of 16/7*s - 20/7*s**2 - 4/7*s**3 + 7 - 2/7*s**5 + 17/14*s**4. Solve y(a) = 0 for a.
-1, 2/5, 2
Let b(p) = p**2 - 11*p. Let h be b(0). Let k(a) be the first derivative of 0*a**2 + 0*a**3 + h*a + 0*a**4 + 3/25*a**5 - 4 - 1/10*a**6. Factor k(u).
-3*u**4*(u - 1)/5
Let n(t) be the second derivative of 0*t**5 + 0*t**3 + 0 + 1/225*t**6 + 0*t**4 + 1/315*t**7 - 2*t + 0*t**2. Factor n(c).
2*c**4*(c + 1)/15
Let z(b) = 4*b**3 + b**3 - 4*b**3 - 4*b**2 - 3 + 2*b**2 + 4*b. Let d be z(2). Let 9/7*p**4 + 3/7*p**d + 0*p + 3/7*p**2 + 9/7*p**3 + 0 = 0. What is p?
-1, 0
Let c(q) be the third derivative of -q**8/840 - q**7/210 - q**6/180 + 5*q**3/3 - 3*q**2. Let i(g) be the first derivative of c(g). Determine k so that i(k) = 0.
-1, 0
Let y = 133/762 + -1/127. Factor 2/3*t**4 - y*t - 11/6*t**3 - 1/6 + 3/2*t**2.
(t - 1)**3*(4*t + 1)/6
Let x = 43 + -47. Let p be (0 + x/6)*-3. Suppose 0 - 4/7*l - 2/7*l**p = 0. What is l?
-2, 0
Let c(m) be the third derivative of m**7/630 + m**6/30 - 7*m**5/45 + 442*m**2. Factor c(a).
a**2*(a - 2)*(a + 14)/3
Let c(d) be the third derivative of -7*d**6/180 + d**5/8 - 11*d**4/144 - d**3/6 + 460*d**2. Suppose c(y) = 0. Calculate y.
-1/4, 6/7, 1
Let y(h) be the second derivative of -3*h**5/10 - 43*h**4/24 - 11*h**3/6 - 3*h**2/4 - 33*h - 2. Let y(w) = 0. Calculate w.
-3, -1/3, -1/4
Factor 16 + 14/3*f + 1/3*f**2.
(f + 6)*(f + 8)/3
Let y(l) = 5*l**3 - 8*l**2 - 13*l - 8. Let b(z) = -2*z**3 + z**2 - z. Let q(m) = -2*b(m) - y(m). Determine o, given that q(o) = 0.
-1, 8
Let p(u) = -u**3 - 12*u**2 - u - 6. Let x be p(-12). Let y be (-16)/x*(-4 + 60/16). Solve -y + 4/3*o + 5/6*o**2 = 0.
-2, 2/5
Suppose 4*d - j + 4*j - 73 = 0, 4*d - 58 = 2*j. Suppose -10 - d*c + 14 + 4*c**2 - 52 = 0. What is c?
-2, 6
Solve -749 + 3*r**2 + 54*r + 597 + 395 = 0 for r.
-9
Factor 0*j - 2/5*j**4 + 0*j**2 + 4/5*j**3 + 0.
-2*j**3*(j - 2)/5
Let v(w) be the first derivative of -68*w**3/15 + 72*w**2/5 - 16*w/5 + 21. Find j such that v(j) = 0.
2/17, 2
Suppose -3/4*q**2 - 3 + 3*q = 0. What is q?
2
Factor -2152 - 68*n - 5*n**4 - 14*n**4 + 1076 + 1080 - 94*n**3 - 69*n**2 - 78*n**2.
-(n + 1)*(n + 2)**2*(19*n - 1)
Suppose 30*l - 34*l - 4*m = -20, 4*l + 5*m - 23 = 0. Factor t**3 + 3/4 + l*t - 15/4*t**2.
(t - 3)*(t - 1)*(4*t + 1)/4
Suppose 2*y - 235 = -3*y. Factor -y + 18*h**3 - 36*h**2 + 144*h - 145 - 15*h**3.
3*(h - 4)**3
Suppose q + 3*q = 20. Suppose -o + 11 = q*b, 4*o + 3*b = b + 26. Factor -6*i**3 + o*i**5 + i**4 - 6*i**4 - 16*i**4 + 6*i**5.
3*i**3*(i - 2)*(4*i + 1)
Suppose 9*l = 4*l + 15. Let x(p) be the first derivative of -5 - 2/27*p**l - 2/9*p**2 - 2/9*p. Suppose x(s) = 0. Calculate s.
-1
Let t = 1342/4011 - 28/573. What is c in 2/7*c**2 + t*c - 12/7 = 0?
-3, 2
Let t(i) = -i - 3. Let k be t(7). Let v be (-3)/(-2 + k/(-8)). Suppose 2*d**2 + 1 + d**2 - 5*d**2 + d**v = 0. Calculate d.
-1, 1
Let n(v) be the third derivative of 1/1344*v**8 + 0*v**3 + 0*v + 3*v**2 + 0*v**4 + 0*v**5 + 0 - 1/840*v**7 + 0*v**6. Factor n(s).
s**4*(s - 1)/4
Let a(q) = q**2 + 18*q + 37. Let d be a(-16). Factor -s**d - 7*s**3 + 6*s**5 + 2*s**3.
5*s**3*(s - 1)*(s + 1)
Let c be (-10)/75 - 496/(-120). Let n(g) be the second derivative of 1/15*g**6 + 4*g - 5/12*g**3 - 1/4*g**2 - 1/8*g**c + 1/8*g**5 + 0. Factor n(j).
(j - 1)*(j + 1)**2*(4*j + 1)/2
Suppose 0 = -4*s + 5*k - 20, -217*k - 12 = 2*s - 220*k. Factor 0 - 5/8*c**3 + s*c + 1/4*c**2.
-c**2*(5*c - 2)/8
Let v(l) = l**3 - 28*l**2 - 534*l - 13. Let i be v(-13). Let k be (1/(-2))/(1/(-3)). Let i - 3*c**3 + k*c**4 + 3/2*c**2 + 0*c = 0. Calculate c.
0, 1
Suppose -2 = 2*y - 22. Factor 6 + 5*o**5 - 10*o**4 - 35*o + 22*o**2 + 18*o**2 - y*o**3 + 4.
5*(o - 1)**4*(o + 2)
Suppose -2*k - 3*d = -0*d + 6, -19 = -k + 4*d. Find w such that 8*w**2 - 6 - w**4 + w**2 - 2*w**4 + 3*w**3 - k*w + 0*w**2 = 0.
-1, 1, 2
Let t(r) be the third derivative of r**6/60 + r**5/50 - 8*r**4/15 + 4*r**3/5 - 97*r**2. Factor t(l).
2*(l - 2)*(l + 3)*(5*l - 2)/5
Let r be (-4 - 0/(-5))/(0 - 1). Let m(t) be the second derivative of 1/4*t**4 + 1/6*t**3 + r*t - t**2 + 0. Factor m(n).
(n + 1)*(3*n - 2)
Let b(y) be the first derivative of y**6/3 - 2*y**5/5 - y**4/2 + 2*y**3/3 - 33. Factor b(u).
2*u**2*(u - 1)**2*(u + 1)
Let q(u) be the first derivative of u**3/15 + 2*u**2 + 51*u/5 - 37. Factor q(g).
(g + 3)*(g + 17)/5
Let x(g) be the first derivative of -g**3 + 75*g**2 - 147*g + 319. Factor x(d).
-3*(d - 49)*(d - 1)
Let w be (-1 - (-34)/6)*168/98. Let x be w/28 - (-3)/14. Factor -x - 3/2*p - 3/2*p**2 - 1/2*p**3.
-(p + 1)**3/2
Let z be (-10)/840*(3 + -7). Let f(y) be the third derivative of 0*y - z*y**3 + 1/210*y**5 + 1/84*y**4 - 1/420*y**6 - 2*y**2 + 0. What is t in f(t) = 0?
-1, 1
Let t(a) be the third derivative of -a**5/40 + 25*a**4/16 - 23*a**3/2 - 12*a**2 - 6. Find l, given that t(l) = 0.
2, 23
Suppose 25*x + 3*b + 4 = 27*x, 0 = -3*b. Let z(c) be the second derivative of 0*c**4 - 2*c**3 + 27/20*c**5 + 0*c**x - 7*c + 0. Suppose z(y) = 0. Calculate y.
-2/3, 0, 2/3
Let j(a) = -3*a + a - 15 + 2*a + a. Let w be j(17). What is o in 2/13 - 2/13*o**w + 0*o = 0?
-1, 1
Let a(w) = -2*w**2 - w + 4. Let m(b) = b**3 - 133*b**2 + 7210*b - 117677. Let t(h) = -35*a(h) - 5*m(h). Factor t(r).
-5*(r - 49)**3
Suppose 15*u + 29/2*u**2 - 9/2*u**3 - 4 = 0. What is u?
-1, 2/9, 4
Let i(s) = s**2 - s. Let h(f) = -8*f**2. Let p = 6 + -5. Let j(r) = p*h(r) + 6*i(r). Factor j(m).
-2*m*(m + 3)
Let u(b) = -9*b**3 - 247*b**2 - 953*b - 765. Let l(c) = c**3 + 31*c**2 + 119*c + 95. Let x(h) = -50*l(h) - 6*u(h). Factor x(i).
4*(i - 20)*(i + 1)*(i + 2)
Let i(b) = -b**3 + b**2 - b + 1. Let k be i(1). Let z be (-6)/(-4)*-2 - (-4 - -1). Factor 2*x**3 - 14/5*x**4 + 4/5*x**2 + k + z*x.
-2*x**2*(x - 1)*(7*x + 2)/5
Suppose 8/17*f**4 + 132/17*f**2 + 20/17 - 6/17*f**5 + 80/17*f**3 + 86/17*f = 0. What is f?
-1, -2/3, 5
Let f(b) = -5*b**3 + 25*b**2 + 10*b - 35. Let y(s) = -s**2 + s - 1. Let l(n) = -f(n) + 5*y(n). Factor l(m).
5*(m - 6)*(m - 1)*(m + 1)
Suppose -3 - 3 = -2*u. Let o(l) = l**3 + 11*l**2 - 12*l + 4. Let z be o(-12). Factor -m**2 + z*m**2 - u*m**2 + 2*m**2 + 2 - 4*m.
2*(m - 1)**2
Let a(z) be the third derivative of z**7/630 + z**6/360 - z**5/45 - z**4/18 + 63*z**2. Factor a(h).
h*(h - 2)*(h + 1)*(h + 2)/3
Let p(i) be the first derivative of 13 - i**2 + 7/10*i**4 + 4/5*i - 2/15*i**3 - 2/15*i**6 - 2/25*i**5. Solve p(d) = 0.
-2, -1, 1/2, 1
Let m(k) be the third derivative of k**7/504 - k**4/12 + k**2. Let u(z) be the second derivative of m(z). Factor u(p).
5*p**2
Factor 100*s + 2794 + 108*s + 1186 + 1428 + 2*s**2.
2*(s + 52)**2
Suppose -98 = -4*u + 2*k, -k = -4*u - 4*k + 73. Factor -u*f + 2*f**2 - 12 + 10*f - 5*f**2.
-3*(f + 2)**2
Determine i so that 22 - 43/2*i - 1/2*i**2 = 0.
-44, 1
Let t = 1/906 - -8143/9966. Let y(h) be the first derivative of -4 + t*h**2 + 2/11*h - 25/22*h**4 + 10/11*h**3. Factor y(a).
-2*(a - 1)*(5*a + 1)**2/11
Let j = 411/10 + -7789/190. Factor 98/19 - 28/19*y + j*y**2.
2*(y - 7)**2/19
Let j(i) be the third derivative of 0 + 1/66*i**5 + i**3 + 6*i**2 + 1/1980*i**6 + 25/132*i**4 + 0*i. Let m(x) be the first de