2 + p**2 + 20*p + 0*p**2.
-5*p*(p - 4)
Suppose 2*o = -o - o. Factor o*m**3 - 6/5*m**2 + 0*m + 3/5 + 3/5*m**4.
3*(m - 1)**2*(m + 1)**2/5
Let j(c) be the second derivative of -c**6/70 - c**5/28 + 5*c**4/84 + 5*c**3/42 - c**2/7 + 57*c. Find z such that j(z) = 0.
-2, -1, 1/3, 1
Let g(y) be the third derivative of -1/5*y**5 - 4/105*y**7 + 0*y + 3/20*y**6 - 5*y**2 + 0*y**3 + 0 + 1/12*y**4. Let g(j) = 0. What is j?
0, 1/4, 1
Let s(f) = -f**5 + 1. Let l(y) = -7*y**5 - 8*y**4 + 12*y**3 + 16*y**2 - 16*y + 3. Let t(q) = l(q) - 3*s(q). Factor t(c).
-4*c*(c - 1)**2*(c + 2)**2
Suppose -28 = -4*a - 12. Let 1/2*b**3 - 5/2*b**2 - 2 + a*b = 0. Calculate b.
1, 2
Let f(u) = -u**2 + 12. Let d be f(-3). Factor -1/7*y**4 + 0 - 3/7*y**d - 1/7*y - 3/7*y**2.
-y*(y + 1)**3/7
Suppose 3*u - 40 = 4*u. Let k be -2*6/u*2. Factor 0 - 3/5*s + k*s**2.
3*s*(s - 1)/5
Let g(h) be the first derivative of 0*h + 4/39*h**3 + 1/13*h**2 - 1 + 1/26*h**4. Let g(w) = 0. Calculate w.
-1, 0
Let r = 32 - 26. Let s(z) be the third derivative of 0*z**3 + z**2 + 1/80*z**r + 1/60*z**5 + 0 + 0*z + 0*z**4. Factor s(x).
x**2*(3*x + 2)/2
Let x(f) = -21*f**3 + 10*f**2 + 29*f + 10. Let p(r) = -230*r**3 + 110*r**2 + 320*r + 110. Let b(n) = -6*p(n) + 65*x(n). Suppose b(i) = 0. What is i?
-1, -1/3, 2
Let g(n) = -2*n**3 - 2*n**2 + 20*n + 23. Let a(x) = -x**3 - x**2 - 1. Let t(q) = -3*a(q) - g(q). Find p, given that t(p) = 0.
-2, -1, 2
Let z(g) be the first derivative of -2*g**3/3 - 14*g**2 - 98*g - 5. Factor z(p).
-2*(p + 7)**2
Let p(z) be the first derivative of -z**4/20 - 2*z**3/15 + z**2/10 + 2*z/5 - 11. Factor p(f).
-(f - 1)*(f + 1)*(f + 2)/5
Suppose 1/3*d - 5/6*d**2 - 1/6*d**5 + 0 + 1/6*d**4 + 1/2*d**3 = 0. Calculate d.
-2, 0, 1
Let h = -3/532 + 34/133. Factor -1/4*c + 1/2 - h*c**2.
-(c - 1)*(c + 2)/4
Let u = -294 - -297. Find r such that 0 - 1/5*r**4 + 1/5*r**2 - 1/5*r**u + 1/5*r = 0.
-1, 0, 1
Find z, given that 45*z**3 + 2*z - 52*z**4 + 13*z**4 + 12*z**5 + z - 7*z**2 - 14*z**2 = 0.
0, 1/4, 1
Suppose 13 + 0 = 5*t + 3*w, -t = 2*w - 4. Suppose 6*y - 20 = t*y. Factor 0*v**2 + 6*v**2 - 4 + y*v + 5*v.
2*(v + 2)*(3*v - 1)
Let z(w) = -w**2 + 8*w + 35. Let h be z(11). Determine q so that 1/2*q**3 - 1/2*q**4 + 2*q**2 + 0 - h*q = 0.
-2, 0, 1, 2
Let n(m) be the second derivative of m**8/5040 - m**4/4 - 3*m. Let j(b) be the third derivative of n(b). Determine q so that j(q) = 0.
0
Suppose 0*f + 72 = 2*f. Suppose -36*t**3 - 15*t**4 + 6 + f*t + 3*t**2 - 2 + 3 + 5 = 0. Calculate t.
-2, -1, -2/5, 1
Suppose 0 = -4*j + 15 - 3. Suppose 3*o = -5*k - 7, -3*o = -3*k + 2*o + 23. Factor j + 2 - 4*n**2 - 2*n - k + 0 + 2*n**3.
2*(n - 2)*(n - 1)*(n + 1)
Let j(g) be the second derivative of -g**6/60 - 3*g**2/2 - 5*g. Let c(y) be the first derivative of j(y). Factor c(s).
-2*s**3
Suppose 0 = k - 2*k + 3. Let k*m + 1 + 9/4*m**2 = 0. Calculate m.
-2/3
Suppose 0*w + 3/2*w**2 - 6 = 0. Calculate w.
-2, 2
Let p(k) be the first derivative of -3*k**5/5 + 45*k**4/2 - 193*k**3 - 720*k**2 - 768*k - 23. Factor p(q).
-3*(q - 16)**2*(q + 1)**2
Let v be (-44)/(-11)*(-24)/(-32). Find w, given that 49/3*w**4 - 15*w**2 - 4/3 + 28/3*w - 28/3*w**v = 0.
-1, 2/7, 1
Let v(l) be the second derivative of -l**5/20 + l**4/12 + l**3/6 - l**2/2 + 2*l. Factor v(k).
-(k - 1)**2*(k + 1)
Let r(q) = 3*q**4 + 40*q**3 + 77*q**2 + 51*q + 16. Let t(d) = 4*d**4 + 60*d**3 + 116*d**2 + 76*d + 24. Let m(f) = 8*r(f) - 5*t(f). Find v, given that m(v) = 0.
-2, -1
Suppose 0*c**4 - 1 + 2*c**2 + c**4 + c**4 - 3*c**4 = 0. Calculate c.
-1, 1
Solve 10/7*q**3 + 0 + 6/7*q - 2*q**2 - 2/7*q**4 = 0.
0, 1, 3
Let x(s) be the first derivative of -s**5/30 - s**4/18 + s**3/9 + s**2/3 + 2*s + 1. Let z(b) be the first derivative of x(b). Factor z(i).
-2*(i - 1)*(i + 1)**2/3
Let s(i) = i**2 + 6*i + 10. Let g be s(-4). Determine f so that -1/2*f**g + 1/4*f - 1/4*f**5 + 0 + 1/2*f**4 + 0*f**3 = 0.
-1, 0, 1
Let n be 0/((-1)/2*2). Suppose -3*o + 12 = -n*o. Factor 2*w**4 - w**4 + 2*w**2 - 3*w**o.
-2*w**2*(w - 1)*(w + 1)
Let o(n) be the second derivative of 0*n**5 + 1/36*n**4 + 0*n**2 + 0 - 1/540*n**6 + 1/6*n**3 - n. Let z(b) be the second derivative of o(b). Factor z(h).
-2*(h - 1)*(h + 1)/3
Let j(t) = 8*t**4 + t**3 - 79*t**2 + 81*t - 32. Let u(k) = -4*k**4 - k**3 + 39*k**2 - 41*k + 16. Let v(i) = -3*j(i) - 7*u(i). What is l in v(l) = 0?
-4, 1
Let n(p) be the first derivative of p**5/15 - p**4/4 - p**3/9 + p**2/2 - 19. Factor n(a).
a*(a - 3)*(a - 1)*(a + 1)/3
Let l(n) be the third derivative of -5*n**2 + 0*n - 1/10*n**5 + 0 + n**3 - 1/40*n**6 + 1/8*n**4. Suppose l(c) = 0. What is c?
-2, -1, 1
Solve -2/13*y**2 + 2/13*y**3 + 0 - 4/13*y = 0 for y.
-1, 0, 2
Let q(r) be the third derivative of r**5/30 - r**4/6 + r**3/3 + 6*r**2. Let q(h) = 0. Calculate h.
1
Suppose -2*m - 4 = 149*l - 145*l, 3*m - 2 = 2*l. Determine r so that -6/5*r**3 + m*r**2 + 4/5*r**4 + 2/5*r**5 + 0 + 0*r = 0.
-3, 0, 1
Suppose 2*p = p + 2. Determine s so that -4*s**2 - 3*s**5 - 2*s**5 - 3*s**4 + 7*s**2 + p*s**5 + 3*s**3 = 0.
-1, 0, 1
Determine s, given that 2/9*s**2 - 2/3*s + 0 = 0.
0, 3
Let v = 2/73 + 19/1971. Let m(a) be the first derivative of -7/9*a**4 - 4/15*a**5 - 32/27*a**3 - v*a**6 - 3 - 4/9*a - a**2. Determine z so that m(z) = 0.
-2, -1
Let i be 8/32 + 1/4. Factor -1/4*y**2 - i*y + 0.
-y*(y + 2)/4
Let l be 3/(1/(-4)*-4). Let h(g) be the second derivative of 1/6*g**4 + 0*g**l + 0 + g + 0*g**2. Factor h(z).
2*z**2
Suppose -2/9*m**2 - 2/9*m + 0 = 0. What is m?
-1, 0
Let s be 4*1 - (-1530)/(-405). Determine t, given that 0 - s*t**3 + 4/9*t + 2/3*t**2 - 2/3*t**4 - 2/9*t**5 = 0.
-2, -1, 0, 1
Let a(o) be the third derivative of -o**6/840 - 11*o**5/420 - 5*o**4/24 - 25*o**3/42 - 44*o**2. Factor a(b).
-(b + 1)*(b + 5)**2/7
Let q(x) = -4*x**2 - 2. Let p = -2 + 3. Let t(k) = k**3 - k**2 - 1. Let m = 24 - 26. Let c(g) = m*t(g) + p*q(g). Find a, given that c(a) = 0.
-1, 0
Let z(i) be the third derivative of i**8/10080 - i**7/2520 - i**6/180 + i**5/30 - i**2. Let d(u) be the third derivative of z(u). Suppose d(w) = 0. Calculate w.
-1, 2
Let a(p) be the second derivative of 1/60*p**5 + 0*p**4 + 0*p**3 + 8/63*p**7 + 4/45*p**6 + 0*p**2 + 2*p + 0. Determine f, given that a(f) = 0.
-1/4, 0
Let a(z) be the second derivative of 0*z**2 + 7*z + 0 - 3/40*z**5 - 1/12*z**3 + 1/8*z**4 + 1/60*z**6. Factor a(s).
s*(s - 1)**3/2
Let r be (6 - 2) + (0 - 1). Let b(x) be the second derivative of -2*x + x**2 + 0 - 1/6*x**4 - 5/6*x**r + 1/4*x**5. Factor b(q).
(q - 1)*(q + 1)*(5*q - 2)
Let z = 51 + -49. Find k such that -8/3*k**3 + 0*k + z*k**2 - 1/3 + k**4 = 0.
-1/3, 1
Let p(z) be the third derivative of -z**6/48 - 23*z**5/120 - 5*z**4/24 + 2*z**3/3 + 33*z**2. Factor p(g).
-(g + 1)*(g + 4)*(5*g - 2)/2
Let w(y) be the third derivative of y**8/2520 - y**7/1575 + 8*y**2. Let w(i) = 0. Calculate i.
0, 1
Suppose 4*d - 18 = -4*h + 9*d, 0 = 2*h - 3*d - 10. Let 0 + 0*x - 3/2*x**h - 3/2*x**3 = 0. Calculate x.
-1, 0
Factor 0 + 49/9*c**3 + 28/9*c**2 + 4/9*c.
c*(7*c + 2)**2/9
Find p such that 8/9*p - 2/9*p**2 - 8/9 = 0.
2
Determine s, given that 3/5*s - 12/5*s**2 + 6/5 - 6/5*s**3 + 3/5*s**5 + 6/5*s**4 = 0.
-2, -1, 1
Factor -5*g**4 + 4*g**5 - g**5 - g**3 - 2*g**2 + 9*g**4.
g**2*(g + 1)**2*(3*g - 2)
Let i = 33 + -65/2. Determine f so that -i*f**2 + 0*f + 0 = 0.
0
Factor 3/5*z**2 + 6/5 - 9/5*z.
3*(z - 2)*(z - 1)/5
Let n(c) be the first derivative of 2*c**5/45 + c**4/9 - 1. Factor n(l).
2*l**3*(l + 2)/9
Let p be (-4 - (-7 - 0))/(-1). Let r be -4 + 4 + (-1)/p. Let -r + 1/3*j**2 + 1/3*j - 1/3*j**3 = 0. Calculate j.
-1, 1
Let c be 2/3*5 - 3. Let u(m) be the first derivative of -1/3*m**2 + 1 + c*m + 1/9*m**3. Factor u(d).
(d - 1)**2/3
Let a(z) = 3*z**4 - 4*z**3 - 5*z**2 + 8*z. Let f(s) = 25*s + 4*s + 6*s**4 - 12*s**2 + s**2 - 7*s**3 - 12*s. Let r(y) = -5*a(y) + 2*f(y). Factor r(k).
-3*k*(k - 2)*(k - 1)*(k + 1)
Factor 0 - 2/5*h**3 + 0*h - 4/5*h**2.
-2*h**2*(h + 2)/5
Let y(w) be the third derivative of w**5/120 - w**4/48 - 7*w**2. Let y(h) = 0. Calculate h.
0, 1
Let d(c) = -c. Let t(u) = 12*u**2 - 9*u - 3. Let m(w) = -18*d(w) + t(w). Suppose m(o) = 0. Calculate o.
-1, 1/4
Let k(g) be the third derivative of -7*g**5/30 + 5*g**4/12 + 2*g**3/3 - 17*g**2. Suppose k(u) = 0. What is u?
-2/7, 1
Let g(l) be the third derivative of -l**5/270 + l**4/108 + 12*l**2. Factor g(h).
-2*h*(h 