 3)*(3*z + 2)/11
Let a = 7 - 4. Factor -2*p**3 + 0*p - p + p**2 + 3*p**a - p**4.
-p*(p - 1)**2*(p + 1)
Let h(d) = d - 1. Let t be h(1). Suppose t = 5*f + 5, -19 = -4*k - f. What is a in -2/5*a**2 + 0*a + 0*a**3 + 0 + 6/5*a**4 + 4/5*a**k = 0?
-1, 0, 1/2
Let u be (-1 - 26/(-30))*-10. Let i(t) = t**2 - 7*t + 9. Let s be i(6). Let 2/3*a - 2/3*a**s - 4/3 + u*a**2 = 0. What is a?
-1, 1, 2
Let a = 179/1860 - 2/155. Let k(b) be the second derivative of 0 + 1/6*b**3 - a*b**4 + b**2 - 3*b. Let k(l) = 0. What is l?
-1, 2
Let d(q) be the third derivative of 0*q**3 + 0*q**4 - 1/240*q**6 + 0 + 0*q + 1/120*q**5 + 2*q**2. Factor d(i).
-i**2*(i - 1)/2
Find j, given that -4/5*j**2 + 14/5*j - 14/5*j**3 + 4/5 = 0.
-1, -2/7, 1
Let -11 - 1 + 12*g + 217*g**3 - 226*g**3 + 15*g**2 = 0. Calculate g.
-1, 2/3, 2
Solve 0*r + 6/11*r**3 - 2/11*r**4 - 4/11*r**2 + 0 = 0.
0, 1, 2
Let t be (2/4)/1*10. Let r(s) = -6*s**2 + 4*s - 4. Let l(y) = -7*y**2 + 5*y - 5. Let n(x) = t*r(x) - 4*l(x). Factor n(j).
-2*j**2
Let d(p) be the first derivative of -p**6/20 + 3*p**4/8 - p**3/2 + 6*p - 1. Let q(w) be the first derivative of d(w). Find s, given that q(s) = 0.
-2, 0, 1
Suppose 7*y - 12*y = 0. Let k(s) be the third derivative of 1/60*s**5 + 0*s**4 - 1/6*s**3 + y + s**2 + 0*s. Determine b, given that k(b) = 0.
-1, 1
Let j be -1*0/((-2)/2). Factor 1 + j - 2*i**2 + 1.
-2*(i - 1)*(i + 1)
Let k be ((-16)/12)/((-4)/(-6)). Let u be 0 + k + (-2)/(-1). Suppose u*a**2 - 1/2*a**5 + 1/2*a**3 + 0 + 0*a**4 + 0*a = 0. Calculate a.
-1, 0, 1
Let q = 22 - 9. Suppose -q*u**3 - 48*u**4 + 0*u**2 + u**2 + 37*u**3 - 4*u**2 = 0. What is u?
0, 1/4
Let b(j) be the third derivative of -j**5/28 - j**4/28 + 3*j**3/14 + 9*j**2. Factor b(k).
-3*(k + 1)*(5*k - 3)/7
Let j be 9/3*(4 - 11/4). Factor -3/2 - 3/4*o**3 - 3*o**2 - j*o.
-3*(o + 1)**2*(o + 2)/4
Let d(p) be the second derivative of p**6/40 + 3*p**5/80 - p**4/8 + 49*p. Factor d(q).
3*q**2*(q - 1)*(q + 2)/4
Suppose 2*m**5 - 5*m**5 + 6*m - 4*m**2 + 13*m**2 - 9*m**4 - 3*m**3 = 0. What is m?
-2, -1, 0, 1
Let w(i) = i**3 + i**2. Let x(k) = 4*k**3 - 2*k**2 - 6*k. Let t = -19 + 17. Let r(z) = t*w(z) + x(z). Factor r(v).
2*v*(v - 3)*(v + 1)
Factor 0 + 1/2*a**2 - 1/2*a.
a*(a - 1)/2
Let u(x) be the first derivative of -7*x**5/30 + 3*x**4/4 - 2*x**3/3 + 7*x**2/2 + 6. Let r(k) be the second derivative of u(k). Factor r(f).
-2*(f - 1)*(7*f - 2)
Let j(a) = -25*a**3 - 47*a**2 - 21*a + 11. Let g(f) = 12*f**3 + 24*f**2 + 10*f - 6. Let d(x) = 5*g(x) + 2*j(x). Suppose d(c) = 0. What is c?
-2, -1, 2/5
Let i = -121227/5 + 24103. Let f = i - -144. Determine j so that 0 - f*j**5 + 0*j - 2/5*j**4 + 0*j**3 + 0*j**2 = 0.
-1/4, 0
Let a(o) = 4*o**2. Let r be a(1). Let y(g) = -g**3 + 4*g**2 + g - 2. Let k be y(r). Factor -1 - 3*w**k + 2*w**4 + w**4 + 2*w**3 + w**2 + w**5 - 3*w.
(w - 1)*(w + 1)**4
Let k be (1/1)/3 + (-912)/(-342). Suppose -3/5*l**k + 24/5 - 36/5*l + 18/5*l**2 = 0. Calculate l.
2
Suppose -1 = c - 8. Let n be (-16)/(-140) + 2/c. Factor -n*f**2 + 0*f + 2/5.
-2*(f - 1)*(f + 1)/5
Let f be (-8)/14 + 1168/(-112). Let t = -9 - f. Factor -t*l - 1/4 - 4*l**2.
-(4*l + 1)**2/4
Suppose -13 = 5*g + 3*h, 1 = g + h - 4*h. Let z = 2 - g. Factor -2 - 3*c**4 + 6*c**z - 6*c**2 - 10*c**3 + 5*c**4 + 10*c.
2*(c - 1)**2*(c + 1)*(4*c - 1)
What is v in 6*v**2 + 40*v - 8 - 27*v + 15*v + 10*v**2 = 0?
-2, 1/4
Let j(n) be the third derivative of 2*n**7/35 + 3*n**6/40 - n**5/4 - 3*n**4/8 + n**3/2 + 2*n**2. Determine u, given that j(u) = 0.
-1, 1/4, 1
Let h(x) be the second derivative of x**4/28 + 3*x**3/7 + 15*x**2/14 + x - 2. Factor h(f).
3*(f + 1)*(f + 5)/7
Let f = 131 - 131. Let s(y) be the first derivative of 2/5*y**5 - 1/2*y**4 + 0*y - 2/3*y**3 + f*y**2 - 5 + 1/3*y**6. Suppose s(u) = 0. Calculate u.
-1, 0, 1
Suppose d + 4*d = 15. Let a(s) = s**4 - s**2 - s + 1. Let m(x) = 3*x**4 + 3*x**2 + 4*x**3 + x**4 + x - 2 + 6. Let l(f) = d*a(f) - m(f). Factor l(u).
-(u + 1)**4
Suppose 0 = 5*l - 15, 4 = 4*n - l - 1. Let w(t) be the first derivative of 2/11*t + 3 - 2/11*t**n + 2/33*t**3. Find d, given that w(d) = 0.
1
Let f be (-3)/18 + 20/12. Let i(j) be the first derivative of -3 - 6/5*j + 3/20*j**4 - 4/5*j**3 + f*j**2. Factor i(d).
3*(d - 2)*(d - 1)**2/5
Let r be ((-30)/(-3))/(-2 + 4). Factor -5*p**2 + 7 + 14*p - r*p**2 - 8*p**3 - 3.
-2*(p - 1)*(p + 2)*(4*p + 1)
Let q(k) be the third derivative of k**8/1848 + 4*k**7/1155 + k**6/220 - 2*k**5/165 - k**4/33 + 4*k**2. Suppose q(w) = 0. Calculate w.
-2, -1, 0, 1
Suppose r = -c - 3 - 1, -8 = -2*c + 2*r. Suppose 4*m = -c + 8. Factor 0*b + 1/3*b**4 + 0*b**m + 0 + 2/3*b**3.
b**3*(b + 2)/3
Let u = 993 + -14893/15. Factor u*y**3 + 2/15*y + 4/15*y**2 + 0.
2*y*(y + 1)**2/15
Let b(c) = -4*c**2 + 6*c + 2. Let m(t) = -t**2 + t + 1. Let i(z) = -b(z) + 2*m(z). Factor i(g).
2*g*(g - 2)
Let p = 2 - 1. Suppose -2*z + p = -3. Suppose -z*u - 1 + 0*u**2 + 0*u + 2*u**2 - 3*u**2 = 0. What is u?
-1
Let v be ((-2)/3)/(6/9). Let w(i) = -i. Let n(b) = 3*b**4 - 2*b - 2*b**4 + b. Let l(p) = v*n(p) + w(p). Factor l(f).
-f**4
Let q(p) = -10*p**2 + 15*p - 10. Let n(v) = -11*v**2 + 15*v - 10. Let y(t) = 5*n(t) - 6*q(t). What is m in y(m) = 0?
1, 2
Let c(o) be the second derivative of -o**6/75 - 6*o. Factor c(r).
-2*r**4/5
Let p(v) be the third derivative of -343*v**6/200 + 147*v**5/50 - 21*v**4/10 + 4*v**3/5 - 2*v**2 + 23*v. Suppose p(m) = 0. What is m?
2/7
Let g(i) = i**3 + 4*i**2 - 7*i - 7. Let c be g(-5). Factor 4*s - 13*s**4 - c*s**4 - 5*s**4 + 16*s**2 + s**3.
-s*(s - 1)*(3*s + 2)*(7*s + 2)
Suppose -s + 4 = -1. Let 2*k**4 - 6*k**2 - 8*k**3 - 5*k**4 + 5*k**4 + 1 - s*k**4 = 0. Calculate k.
-1, 1/3
Suppose 0 = 9*v - 17*v + 16. Let -2/5*b + 0*b**v + 2/5*b**3 + 0 = 0. Calculate b.
-1, 0, 1
Let s(t) = -6 - 6*t**2 + 8*t - 3*t**2 + 2*t**3 - t**2. Let u = 16 + -11. Let j(q) = -4*q**3 + 21*q**2 - 15*q + 13. Let w(v) = u*s(v) + 2*j(v). Factor w(o).
2*(o - 2)*(o - 1)**2
Let g(l) = -4*l**5 + 4*l**3 + 2. Let t(h) = -11 - 20*h**3 - h + 10*h**5 + 0*h**5 + 11*h**5. Let n(d) = 11*g(d) + 2*t(d). Solve n(j) = 0.
-1, 0, 1
Determine d so that -10/9*d**4 + 2/9*d**2 + 8/3*d + 8/9 - 8/3*d**3 = 0.
-2, -1, -2/5, 1
Let g = 7 + -34/5. Let n(s) be the first derivative of 2 - 1/5*s**3 + 1/5*s + 4/25*s**5 + 1/5*s**2 - g*s**4. Find w, given that n(w) = 0.
-1/2, 1
Let y(p) be the first derivative of -2*p**6/15 + 4*p**5/5 - p**4 - 8*p**3/3 + 8*p**2 - 5*p - 3. Let m(i) be the first derivative of y(i). Solve m(o) = 0.
-1, 1, 2
Factor 33*u**2 + 8*u + 25*u**3 + 19*u - 17*u + 2*u**2.
5*u*(u + 1)*(5*u + 2)
Let a(c) = 17*c**4 - 32*c**3 + 32*c**2 + 9. Let k(s) = -4*s**4 + 8*s**3 - 8*s**2 - 2. Let y(f) = -2*a(f) - 9*k(f). Find i, given that y(i) = 0.
0, 2
Let n(d) be the first derivative of -2*d**3/45 - 8. Factor n(i).
-2*i**2/15
Let w = -2 + 0. Let k be w/(-9) - (-156)/27. Factor -2 - 2*m**3 - k*m - m**2 + 0*m**2 - 5*m**2.
-2*(m + 1)**3
Determine l so that 2/7*l**2 + 6/7*l - 8/7 = 0.
-4, 1
Let t(s) = -s**2 - 13*s + 17. Let o be t(-14). Let d(q) be the first derivative of -2/7*q + 6/7*q**2 - o - 6/7*q**3. Let d(z) = 0. What is z?
1/3
Let y(h) = -6*h**2 - 16*h - 10. Let c(z) = 7*z**2 + 15*z + 8. Let k(g) = 4*c(g) + 5*y(g). Find j such that k(j) = 0.
-9, -1
Let l be -129*((-3)/9 + 1). Let d = -256/3 - l. Factor -1/3*n - d + 1/3*n**2.
(n - 2)*(n + 1)/3
Suppose 0 = 3*a + 4*d + d + 20, -3*a + 3*d = -12. Suppose 0*m + 3/5*m**4 + 0 + a*m**3 - 3/5*m**2 = 0. Calculate m.
-1, 0, 1
Suppose -g + 7 = -d, 2*d + 18 = -4*g + 7*g. What is k in 2*k**4 + k**g + 4*k**2 + 6*k**3 - k**2 = 0?
-1, 0
Let w = 37 - 35. Find q, given that -q - 2/3 - 1/3*q**w = 0.
-2, -1
Let h(s) be the first derivative of -s**4/2 - 2*s**3 + 4*s**2 - 31. Solve h(f) = 0.
-4, 0, 1
Let m be (-8)/(-12) - (-26)/6. Let h = m + -1. Factor 0*p**2 - 4/11*p**h + 0 - 2/11*p**3 - 2/11*p**5 + 0*p.
-2*p**3*(p + 1)**2/11
Let t(p) be the third derivative of -1/45*p**5 - 2*p**2 + 0*p - 1/12*p**4 + 2/9*p**3 + 0 + 1/60*p**6. What is v in t(v) = 0?
-1, 2/3, 1
Factor 0*k + 4/7*k**4 - 4/7*k**2 + 0*k**3 + 0.
4*k**2*(k - 1)*(k + 1)/7
Solve 2*d**3 + d**2 + d**4 + 4*d**2 - 4*d**2 = 0 for d.
-1, 0
Let t(l) be the second derivative of -3*l + 0*l**3 + 0 + 0*l**4 + 0*l**2 - 1/70*l**5 - 1/105*l**6. What is j in t(j) = 0?
-1, 0
Let c(v) be the first derivative of 2*v**5/5 - 5*v**4/14 - 6*v**3/7 + 5*v**2/7 +