actor -1/5*t**v + 0*t**2 + 1/5 - 2/5*t + 2/5*t**3.
-(t - 1)**3*(t + 1)/5
Let t(i) be the first derivative of i**4/2 + 32*i**3/9 + 5*i**2 - 12*i + 41. Factor t(d).
2*(d + 3)**2*(3*d - 2)/3
Let v(p) be the third derivative of -p**5/150 + p**4/15 - 4*p**3/15 + 2*p**2. Determine w so that v(w) = 0.
2
Let -12/5 + 12/5*t - 3/5*t**2 = 0. What is t?
2
Suppose -10*y = 8 - 28. Determine n, given that -26/3*n**y - 8/9*n**3 + 8/9 + 70/9*n**4 + 8/9*n = 0.
-1, -2/7, 2/5, 1
Let f(q) = -2*q**3 + 2*q**2 - 3*q - 5. Let a be f(-1). Factor 1/2*u**a + u + 0.
u*(u + 2)/2
Factor 2/5*b + 0 - 1/5*b**2.
-b*(b - 2)/5
Let m = 16 + -16. Suppose m = 2*q - 0*q. Factor q*c - 8/9 - 2/9*c**3 + 2/3*c**2.
-2*(c - 2)**2*(c + 1)/9
Let r be (36/(-63))/((-1)/7) + 0. Suppose 2/15*o**3 - 2/15*o**5 + 0*o + 0*o**r + 0 + 0*o**2 = 0. What is o?
-1, 0, 1
Let v(r) be the second derivative of -6*r - 1/6*r**4 - 4*r**2 + 1/15*r**6 + 1/21*r**7 + 0 + 8/3*r**3 - 1/2*r**5. Find w such that v(w) = 0.
-2, 1
Factor 20*a**2 + 12*a**3 + 11*a + 2*a - 5*a.
4*a*(a + 1)*(3*a + 2)
Let l(v) be the first derivative of 1/80*v**5 + 0*v**2 + 1/48*v**4 + 2*v - 2 + 0*v**3. Let y(z) be the first derivative of l(z). Let y(c) = 0. What is c?
-1, 0
Let f(z) be the third derivative of 0*z - 1/3*z**3 - 1/60*z**5 - 7/48*z**4 + z**2 + 1/240*z**6 + 0. Let f(u) = 0. What is u?
-1, 4
Find y such that 0*y**2 + 6*y**2 - 3*y**2 + 3*y**4 + 6*y**3 = 0.
-1, 0
Factor -12/13 - 2/13*h**2 + 14/13*h.
-2*(h - 6)*(h - 1)/13
Let p be (-6)/(-1)*(-2)/(-4). What is s in 4 + 9*s**2 - 6*s - p*s - 3*s = 0?
2/3
Determine r so that 0*r**5 + r**3 - r**5 + 3*r**5 - 3*r**5 = 0.
-1, 0, 1
Let x(l) be the first derivative of l**6/1440 - l**5/240 + 2*l**3/3 + 1. Let u(m) be the third derivative of x(m). Factor u(b).
b*(b - 2)/4
Let j(p) = 16*p**4 - 39*p**2 + 32*p. Let k(z) = -4*z**4 + 10*z**2 - 8*z. Let w(h) = -2*j(h) - 9*k(h). Factor w(a).
4*a*(a - 1)**2*(a + 2)
Determine s so that -1/4*s**2 - 5/2*s - 25/4 = 0.
-5
Suppose -1 = 4*i - 13. Factor -9*r**4 + 4*r**i + 11*r**4 + r**2 + r**2.
2*r**2*(r + 1)**2
Let v(m) be the first derivative of -1/16*m**4 + m - m**2 + 9 + 5/12*m**3. Let v(r) = 0. Calculate r.
1, 2
Let k(b) be the second derivative of b**8/3360 - b**7/840 - b**6/720 + b**5/120 - 7*b**3/6 - 3*b. Let z(r) be the second derivative of k(r). Factor z(p).
p*(p - 2)*(p - 1)*(p + 1)/2
Let h(w) = w**3 - w**2 - 1. Let u(c) = 48*c**3 - 48*c**2 - 4*c + 5. Let r = -1 + -2. Let x(b) = r*u(b) - 3*h(b). Find s, given that x(s) = 0.
-2/7, 2/7, 1
Suppose 5 = 3*a - 7. Factor -5*f - 8*f + 24*f**2 - 3*f + 36*f**3 + 10*f**a.
2*f*(f + 2)**2*(5*f - 2)
Let a(g) be the second derivative of -g**4/3 - 2*g**3 - 3*g. Factor a(d).
-4*d*(d + 3)
Let m be 215/(-45) - 2/4*-10. Factor -2/3*w**2 + 2/9*w**3 - m + 2/3*w.
2*(w - 1)**3/9
Let n be 2 - (-20)/(5 + -1). Let t(x) be the second derivative of -47/48*x**4 - 1/8*x**2 + 8/21*x**n + 2*x + 2/5*x**6 - 1/2*x**3 - 13/20*x**5 + 0. Factor t(s).
(s - 1)*(s + 1)*(4*s + 1)**3/4
Let p(b) = 7*b**3 - 6*b**2 - 7*b + 6. Let d(s) = -s**2 + 1. Let j(y) = 4*d(y) - p(y). Find n such that j(n) = 0.
-1, 2/7, 1
Let z(g) be the third derivative of -g**6/300 - g**5/50 - g**4/30 + 4*g**2. Factor z(h).
-2*h*(h + 1)*(h + 2)/5
Let c be (-60)/(-21) + (-1)/(-7). Let 2/5*d**2 + 2/5*d**5 + 0 - 2/5*d**4 - 2/5*d**c + 0*d = 0. Calculate d.
-1, 0, 1
Suppose 2 = h + o, 0 = -5*h + 3*o + 30 - 4. Let v(t) be the second derivative of -3*t + 0*t**2 - 1/30*t**h + 0 - 1/15*t**3. What is y in v(y) = 0?
-1, 0
Let y(x) be the second derivative of -x**6/6 + 3*x**5/4 - 5*x**4/4 + 5*x**3/6 - 73*x. Factor y(v).
-5*v*(v - 1)**3
Let -2/7*l**5 + 0*l - 6/7*l**3 - 6/7*l**4 + 0 - 2/7*l**2 = 0. Calculate l.
-1, 0
Let y(k) = 88*k**4 - 28*k**3 - 8*k**2. Let n(f) = f**4 - f**3 + f**2. Let g(c) = 12*n(c) + y(c). Find z such that g(z) = 0.
0, 1/5
Suppose 1 - 3 = c + 2*q, 3*c + 4*q = -2. Factor 1 + 1/4*u**3 + 5/4*u**2 + c*u.
(u + 1)*(u + 2)**2/4
Let v(w) = -w + 6. Let l be v(-5). Suppose -5*a - 1 = -l. Find s such that 2/3*s**3 + 2*s + 2/3 + a*s**2 = 0.
-1
What is i in -2*i**3 + 13*i**3 + 10*i**3 - 36*i**2 + 3*i**3 - 4*i**4 = 0?
0, 3
Let d(m) = m**3 - 12*m**2 + 2*m - 24. Let y be d(12). Find q, given that y*q**2 + 0 + 2/5*q**4 + 1/5*q**5 + 0*q + 1/5*q**3 = 0.
-1, 0
Let j(p) be the third derivative of p**9/302400 - p**8/100800 + p**5/12 + p**2. Let a(u) be the third derivative of j(u). Factor a(n).
n**2*(n - 1)/5
Let y(n) be the first derivative of -n**6/9 + 2*n**5/5 - 8*n**3/9 - 7. Determine x, given that y(x) = 0.
-1, 0, 2
Let h be (36/21)/((-1)/(-7)). Let -2*l + h*l**2 - 4*l**3 + 4 - 8*l - 2*l = 0. Calculate l.
1
Suppose 12 = -o + 3*o. Factor -4*n**2 - o*n - 4*n**2 - 3 - n**2 + 6*n**2.
-3*(n + 1)**2
Let w = -1336 + 4232/3. Let g = w + -74. Let -g*n**3 + 4/3*n**2 - 1/3 - n**4 + 2/3*n = 0. What is n?
-1, 1/3, 1
Let a be (5 - 6) + (2 - -19). Let b = -18 + a. Factor 0 + 0*s - 1/3*s**b - 1/3*s**3.
-s**2*(s + 1)/3
Let f = 0 - -3. Let p be ((-1)/f + 0)/(-1). Factor p*d**2 + 4/3 - 4/3*d.
(d - 2)**2/3
Let y(i) be the third derivative of i**5/60 - i**4/3 - 7*i**3/6 + 6*i**2. Let z be y(9). Factor 1/4*k**3 + 0 - 1/4*k**4 + 1/2*k**z + 0*k.
-k**2*(k - 2)*(k + 1)/4
Factor 4*b**2 + 5*b**3 + 42 - 46 - b**3 - 4*b.
4*(b - 1)*(b + 1)**2
Let v be 2/(1 + (-1)/2). Let -x**5 + 6*x**5 - x**v - 4*x**5 + 2*x**4 = 0. Calculate x.
-1, 0
Let m be (-2 - (-5 - -3)) + 2. Factor -q - q**3 - 11 + 5 - m*q**2 + 6.
-q*(q + 1)**2
Let m(r) be the first derivative of r**8/2016 - r**7/1260 - 5*r**2/2 + 1. Let f(z) be the second derivative of m(z). Factor f(a).
a**4*(a - 1)/6
Let z(t) = 4*t**2 - 23*t - 68. Let k(q) = -q**2 + 8*q + 23. Let u(c) = -21*k(c) - 6*z(c). Factor u(a).
-3*(a + 5)**2
Let a(o) be the first derivative of -o**8/7560 + o**6/810 - o**4/108 + o**3 - 3. Let c(k) be the third derivative of a(k). Suppose c(w) = 0. What is w?
-1, 1
Let x be (1/1)/(2/8). Suppose 2*k - x*k = -4. Factor 4*y**2 - 2*y**2 - y**k.
y**2
Solve 10/7*v**3 - 4/7*v + 6/7*v**2 + 0 = 0.
-1, 0, 2/5
Let j(n) be the first derivative of -n**6/360 + n**5/180 + n**4/72 - n**3/18 - 7*n**2/2 - 8. Let v(z) be the second derivative of j(z). Factor v(u).
-(u - 1)**2*(u + 1)/3
Let c(p) be the second derivative of -p**5/110 + p**4/66 + p**3/33 - p**2/11 - 3*p. Factor c(s).
-2*(s - 1)**2*(s + 1)/11
Let l(k) be the third derivative of k**6/1200 + 7*k**5/600 + k**4/40 - 29*k**2. Factor l(q).
q*(q + 1)*(q + 6)/10
Suppose 2/5*i**4 - 2/5*i**3 - 2/5*i**2 + 2/5*i + 0 = 0. Calculate i.
-1, 0, 1
Let y(x) be the first derivative of -4*x + 10/3*x**3 - 1 + x**2 - 1/2*x**4 - 6/5*x**5. Solve y(i) = 0.
-1, 2/3, 1
Let l be (-1094)/(-203) - 3 - 2. Let r = -3/29 + l. Factor 12/7*h + 18/7 + r*h**2.
2*(h + 3)**2/7
Let b(h) = -h + 1. Let n be b(-3). Let r = -11 - -15. Solve -2*l + 2*l**r + 3*l + 2 - n*l**2 - 3*l + 4*l**3 - 2*l**5 = 0 for l.
-1, 1
Let y(o) be the first derivative of o**6/24 + o**5/4 + 7*o**4/16 - o**3/12 - o**2 - o + 15. Solve y(k) = 0 for k.
-2, -1, 1
Let o(l) = 5*l**4 - 3*l**3 + 7*l**2 - 3*l + 6. Let n(a) = a**4 + a**2 - a + 1. Let t(i) = 6*n(i) - o(i). Determine d, given that t(d) = 0.
-3, -1, 0, 1
Let h(b) be the first derivative of -b**5/10 - 3*b**4/16 - b**3/12 + 3. Factor h(f).
-f**2*(f + 1)*(2*f + 1)/4
Let i = 34 - 50. Let j be ((-1)/(-1))/((-2)/i). Factor -2*l**2 - 4*l + 3*l - j - 7*l.
-2*(l + 2)**2
Suppose -5*h + 23 = -z, 2*z = -2*z + 3*h - 7. Suppose -2*l = 2*m + z, 5*l = 4*m + 4 - 0. Solve 4*q - 2 + 0 + l - 2*q**2 = 0 for q.
1
Let m be ((-2)/6 - 368/(-240))/2. What is f in 0 - 12/5*f**4 + 0*f + 0*f**2 - m*f**3 = 0?
-1/4, 0
Let j(p) = 3*p**2 - 26*p + 3. Let i(q) = q - 1. Let m(b) = 36*i(b) + 4*j(b). Let m(h) = 0. What is h?
-1/3, 6
Let a(v) be the first derivative of -3*v**4/16 + 5*v**3/4 - 3*v**2 + 3*v - 34. Factor a(k).
-3*(k - 2)**2*(k - 1)/4
Let t(m) = -m**3 + 7*m**2 - 5*m - 1. Let s be t(6). Let k = -41 - -43. Factor 2/3*d**3 + 0 + 0*d + 0*d**k - 1/3*d**s + 1/3*d**4.
-d**3*(d - 2)*(d + 1)/3
Factor 12*o + 5*o**5 + 50*o**2 + 30*o**4 + 60*o**3 - 9*o + 12*o.
5*o*(o + 1)**3*(o + 3)
Factor -14/11*i**2 - 2/11 - 10/11*i - 6/11*i**3.
-2*(i + 1)**2*(3*i + 1)/11
Let c = 95/356 + -3/178. Let k(g) be the third derivative of -11/120*g**6 + 1/3*g**3 + c*g**5 + 1/70*g**7 + 0 + 0*g - g**2 - 3/8*g**4. Factor k(q).
(q - 1)**3*(3*q - 2)
Solve 15*l**2 + 20/3 - 5/3*