 + 0*a**3 + 2*a**3 + u*a**5 + r*a**4.
a**3*(a + 1)*(4*a - 1)
Let p = 0 - -5. Let t(b) be the second derivative of -5/27*b**3 + 0 - b - 1/189*b**7 - 1/27*b**6 - 1/9*b**2 - 1/9*b**p - 5/27*b**4. Suppose t(a) = 0. What is a?
-1
Suppose 0 = -0*l - 4*l - 16. Let k = l + 7. Suppose 0*g**2 + 2*g**2 + 0*g - g - g**k = 0. Calculate g.
0, 1
Suppose -4/5 + 3/5*o + 1/5*o**2 = 0. What is o?
-4, 1
Let d be (7 + -7)/(1/(-1)). Let q(x) be the third derivative of 0 + 1/84*x**4 + 0*x + 2*x**2 - 1/210*x**5 + d*x**3. Find k, given that q(k) = 0.
0, 1
Let r(k) = -k**2 - k + 1. Let g(t) = t**3 - 3*t**2 + 1. Let o be (-1)/(-3) + 8/(-6). Let f(i) = o*g(i) + r(i). Find d, given that f(d) = 0.
0, 1
Let b(f) = -2*f**2 + 55*f + 32. Let p be b(28). Factor 2/3 + 1/3*x**p + 1/3*x**3 - x**2 - 1/3*x.
(x - 1)**2*(x + 1)*(x + 2)/3
Let y(o) be the second derivative of -o**6/60 + o**5/40 + o**4/24 - o**3/12 - 2*o. Find t, given that y(t) = 0.
-1, 0, 1
Suppose 7*j = 2*j + 20. Let s(c) be the first derivative of -1 - 3/16*c**j + 1/6*c**3 + 0*c + 0*c**2. Find z such that s(z) = 0.
0, 2/3
Let l be (2/20)/((-572)/192 + 3). Factor l*j + 4/5*j**2 + 36/5.
4*(j + 3)**2/5
Let f(d) be the first derivative of -d**7/105 - d**6/20 - d**5/30 + d**4/4 + 2*d**3/3 + d**2/2 + 2. Let q(k) be the second derivative of f(k). Factor q(v).
-2*(v - 1)*(v + 1)**2*(v + 2)
Suppose -6*b + b + 15 = 0. Suppose -2*v - 5 = -b*v. Factor v - 4*k**2 + 6*k**4 - 11*k**3 + 4*k - 5 + 9*k**5.
k*(k + 1)**2*(3*k - 2)**2
Let h(d) be the first derivative of d**3/33 - 10*d**2/11 + 100*d/11 - 2. Suppose h(t) = 0. What is t?
10
Let g(o) be the first derivative of 0*o**2 + 1/3*o**3 - 1 + 0*o + 0*o**4 - 1/5*o**5. Factor g(a).
-a**2*(a - 1)*(a + 1)
Let a(h) = 2*h**2 + 3*h + 1. Let g(v) = -6*v**2 - 8*v - 2. Let d(l) = -8*a(l) - 3*g(l). Suppose d(r) = 0. Calculate r.
-1, 1
Let q(b) = b**2 + 12*b - 10. Let i be q(-13). Solve -2*c**3 - i*c + c + 4*c**3 = 0.
-1, 0, 1
Let a(q) = q**3 - q - 1. Let b(z) = z**3 + 2*z**3 + 3*z**3 - 2*z**2 - 4*z - 5. Let o(x) = 20*a(x) - 4*b(x). Factor o(d).
-4*d*(d - 1)**2
Factor 72 + 12*d + 1/2*d**2.
(d + 12)**2/2
Factor -34*t**2 + 4 + 28*t**2 + 4 + 5*t**3 - 3*t**3.
2*(t - 2)**2*(t + 1)
Factor 12 - 14 - 4*b**2 + 6.
-4*(b - 1)*(b + 1)
Let f(a) = -9*a**2 + 46*a - 129. Let w(m) = 125*m**2 - 645*m + 1805. Let o(k) = 55*f(k) + 4*w(k). Find u, given that o(u) = 0.
5
Let w be (-70)/(-21) + (-15)/3 + 2. Solve 0 + 0*s**2 + 0*s + 1/3*s**3 - w*s**4 = 0.
0, 1
Let s(h) be the third derivative of h**6/160 + 3*h**5/80 + h**4/16 - 3*h**2. What is t in s(t) = 0?
-2, -1, 0
Let u(g) be the first derivative of 0*g + 1 - 1/15*g**3 - 1/5*g**2. Factor u(z).
-z*(z + 2)/5
Let b = -753/2 - -377. Factor b*v + 0 - 1/4*v**2.
-v*(v - 2)/4
Let d(s) be the first derivative of -s**6/1440 + s**4/96 - 2*s**3/3 - 2. Let y(t) be the third derivative of d(t). Factor y(r).
-(r - 1)*(r + 1)/4
Let h(t) be the third derivative of t**6/180 - t**5/45 + t**4/36 - 19*t**2. Suppose h(d) = 0. What is d?
0, 1
Let u = -86 - -89. Suppose -2/7*z**u + 0*z + 0*z**2 + 2/7*z**4 + 0 = 0. Calculate z.
0, 1
Let w be ((-34)/(-187) + (-4)/22)/1. Suppose 0 + w*v + 2/3*v**3 + 2/3*v**2 = 0. Calculate v.
-1, 0
Let g = 37/22 + -2/11. Suppose -3/2*m**3 - 1/2*m**4 - g*m**2 + 0 - 1/2*m = 0. Calculate m.
-1, 0
Let v(l) be the third derivative of 1/210*l**7 - 1/80*l**6 - 11*l**2 + 0*l + 0 - 1/1344*l**8 + 1/60*l**5 + 0*l**3 - 1/96*l**4. What is x in v(x) = 0?
0, 1
Let c(o) = o**2 + 140*o - 980. Let h(p) = -2*p**2 - 420*p + 2940. Let z(w) = 17*c(w) + 6*h(w). Determine i so that z(i) = 0.
14
Suppose -2*a = 5*u - 24 - 6, -28 = -2*u - 4*a. Determine d so that -d**2 - d**3 + 10*d**u - 5*d**3 - 3*d**2 = 0.
-2/5, 0, 1
Let y(i) be the third derivative of -3*i**8/560 + 11*i**7/350 - 3*i**6/40 + 9*i**5/100 - i**4/20 + 12*i**2. Suppose y(h) = 0. What is h?
0, 2/3, 1
Let j(f) = f**3 - f**2 + f + 1. Let x(v) = 4*v**3 + 24*v**2 - 12*v + 32. Let t(i) = 24*j(i) - x(i). Find r, given that t(r) = 0.
2/5, 1
Let y(v) be the first derivative of 14/3*v**3 - 4*v - 6 + 5*v**2. Factor y(o).
2*(o + 1)*(7*o - 2)
Let z = -16103/90 - -179. Let p(j) be the third derivative of 0 - 1/45*j**6 - z*j**5 + 0*j - 1/18*j**4 + 1/9*j**3 - j**2. Factor p(g).
-2*(g + 1)**2*(4*g - 1)/3
Let p(l) = 20*l**2 - 10*l + 8. Let a(x) be the first derivative of -x**4/4 + 19*x**3/3 - 5*x**2 + 7*x + 3. Let s(m) = 6*a(m) - 5*p(m). Factor s(r).
-2*(r - 1)**2*(3*r - 1)
Let k(g) be the first derivative of 0*g**2 + 2/5*g**5 + 0*g - 2 + 1/5*g**6 + 0*g**3 + 1/5*g**4. Factor k(n).
2*n**3*(n + 1)*(3*n + 2)/5
Let f be (1 - 1)/(1 + 1). Suppose a - 5*k = 17, a + 3*k + f*k + 7 = 0. Suppose 1/4*p + 0 - 1/4*p**a = 0. Calculate p.
0, 1
Suppose -4*n + 11 + 5 = 0. Let -3/2*p**2 + 0 - 3/2*p**3 + 0*p + 3/2*p**n + 3/2*p**5 = 0. What is p?
-1, 0, 1
Let m(v) be the first derivative of v - 9/4*v**2 + 7/6*v**3 + 3. Find q such that m(q) = 0.
2/7, 1
Let o(z) be the first derivative of z**7/63 + z**6/45 - z**5/15 - z**4/9 + z**3/9 + z**2/3 - 2*z - 2. Let v(i) be the first derivative of o(i). Factor v(l).
2*(l - 1)**2*(l + 1)**3/3
Let s(l) = l**2 + 4*l + 5. Let t be s(-4). Factor 1 + 17*b**4 - 21*b**3 - b**3 - 8*b + 22*b**2 - 4*b**t - 6*b**3.
-(b - 1)**4*(4*b - 1)
Suppose 11*i - 25 = 6*i. Let x(k) be the third derivative of 0*k**3 + 0 - 1/270*k**i - 1/540*k**6 + 1/108*k**4 + 1/945*k**7 - 3*k**2 + 0*k. Factor x(r).
2*r*(r - 1)**2*(r + 1)/9
Let a be 4/18 + (-407)/(-99) + -4. Suppose 1/3*v**4 + 0 + 1/3*v - 1/3*v**2 - a*v**3 = 0. What is v?
-1, 0, 1
Suppose 7*n = 3*n - j, 0 = 4*n + 3*j. Find p, given that 1/5*p**5 + 0 - 1/5*p**3 + 0*p**4 + n*p + 0*p**2 = 0.
-1, 0, 1
Let d = 93/28 - 11/4. Factor d - 10/7*q**3 - 2*q + 2/7*q**4 + 18/7*q**2.
2*(q - 2)*(q - 1)**3/7
Let v(x) be the first derivative of 8*x**3/27 - 7*x**2/9 - 4*x/9 + 4. Factor v(k).
2*(k - 2)*(4*k + 1)/9
Let s(t) be the first derivative of t**8/5040 - t**7/2520 - t**6/1080 + t**5/360 + t**3/3 + 3. Let n(b) be the third derivative of s(b). Factor n(u).
u*(u - 1)**2*(u + 1)/3
Let r be 3/((-6)/2)*-4. What is l in 2 - 2*l**4 + 4*l**2 - 2*l**5 + 6*l + 0*l**3 - r*l**4 - 5*l**3 + l**3 = 0?
-1, 1
Let h(f) be the second derivative of f**5/80 + f**4/48 - 6*f. What is n in h(n) = 0?
-1, 0
Let i = 80/3 - 26. Find t, given that t - t**4 - i*t**3 - 1/3*t**5 + 2/3*t**2 + 1/3 = 0.
-1, 1
Let x(r) = -r**2 + r - 1. Let c(k) = 2*k - 1. Let z(g) = -3*c(g) + 3*x(g). Factor z(h).
-3*h*(h + 1)
Let b(j) be the second derivative of 7*j + 1/8*j**4 + 3/10*j**5 - 3/4*j**2 - j**3 + 0. Determine w, given that b(w) = 0.
-1, -1/4, 1
Let b = -71 + 73. Determine j so that 0 + 4/3*j**3 - 4/3*j - 2/3*j**4 + 2/3*j**b = 0.
-1, 0, 1, 2
Suppose 0 = 5*y + z - 268 + 69, 3*z - 117 = -3*y. Solve 5*m**2 + 19*m**3 - 3*m**2 - 2 + 23*m**3 - y*m**3 - 2*m = 0 for m.
-1, 1
Suppose 0 = -4*j - j + 4*s + 3, -4*s = -4*j. Factor 4*u**3 - 5*u**j - 3*u**2 + 4*u**3 + 0*u**3 - 6*u.
3*u*(u - 2)*(u + 1)
Let i(x) be the third derivative of -x**7/1365 + x**6/195 - x**5/130 - x**4/39 + 4*x**3/39 + 11*x**2. Determine z so that i(z) = 0.
-1, 1, 2
Let h(x) be the third derivative of -1/8*x**4 + 0 + 0*x - 3*x**2 + 0*x**5 + 1/40*x**6 + 0*x**3. Factor h(b).
3*b*(b - 1)*(b + 1)
Let f(j) be the third derivative of j**5/60 + j**4/6 + 2*j**3/3 - 6*j**2. Factor f(n).
(n + 2)**2
Let t be (-10)/(-8) - (-3)/(-12). Factor 3 + 2*m**4 - 1 - 1 - 4*m**2 + t.
2*(m - 1)**2*(m + 1)**2
Factor 8/5*x + 4/5 + x**2 + 1/5*x**3.
(x + 1)*(x + 2)**2/5
Let k be -1 + 102/330*5. Factor -2/11 - k*i**2 - 2/11*i**3 - 6/11*i.
-2*(i + 1)**3/11
Let l be (-2)/(3 + 33/(-12)). Let o be 4/7*(-4)/l. Suppose o*h + 18/7*h**5 + 0*h**4 - 20/7*h**3 + 0 + 0*h**2 = 0. Calculate h.
-1, -1/3, 0, 1/3, 1
Let -1/2*c**2 - 1/6*c**3 - 1/2*c - 1/6 = 0. Calculate c.
-1
Suppose 6 = -v - 5*c, 2*v - 38 + 94 = c. Let l = v + 29. Find b such that 0*b**2 + 0*b**4 + 1/3*b - 2/3*b**l + 0 + 1/3*b**5 = 0.
-1, 0, 1
Let h = 64 + -318/5. Let -2/5*x**2 + 0 + 0*x - h*x**3 = 0. What is x?
-1, 0
Let d(o) be the second derivative of o**7/98 - o**6/70 - 9*o**5/140 + o**4/28 + o**3/7 - 3*o. Let d(k) = 0. What is k?
-1, 0, 1, 2
Let d(w) be the second derivative of -w**7/231 + 4*w**6/165 - 3*w**5/55 + 2*w**4/33 - w**3/33 - 6*w. Factor d(g).
-2*g*(g - 1)**4/11
Let l(u) be the first derivative of u**5/10 - 3*u**4/4 + 11*u**3/6 - 3*u**2/2 + 13. Fac