Find t, given that m(t) = 0.
-2, -1/4
Factor 625/4 + 75/4*q**2 + 5/4*q**3 + 375/4*q.
5*(q + 5)**3/4
Let o(a) be the second derivative of -a**4/96 + 2*a**3/3 - 16*a**2 + 3*a + 1. Factor o(y).
-(y - 16)**2/8
Let k(q) be the third derivative of q**6/600 + q**5/100 + q**4/40 + q**3/30 + 5*q**2. Suppose k(d) = 0. Calculate d.
-1
Suppose 3*h - 6 = 2*a, -5*a + a - 3*h + 6 = 0. Factor -1/2*t**4 + 1/2*t**5 - 1/2*t**3 + 0*t + a + 1/2*t**2.
t**2*(t - 1)**2*(t + 1)/2
Let j(a) = -61*a**4 + 199*a**3 - 159*a**2 + 19*a + 20. Let t(l) = 31*l**4 - 99*l**3 + 79*l**2 - 9*l - 10. Let k(s) = -4*j(s) - 9*t(s). Factor k(h).
-5*(h - 1)**3*(7*h + 2)
Let c(v) be the third derivative of -v**5/140 + 5*v**4/28 - 25*v**3/14 + 7*v**2. What is y in c(y) = 0?
5
Let r(z) = -2*z**3 + 11*z**2. Let i(m) = m**3 - m**2. Let g(s) = 5*i(s) + r(s). Factor g(q).
3*q**2*(q + 2)
Let d(u) = -u**2 + 9*u + 5. Let k be d(9). Factor 0*c**3 + 0*c**4 + 0 + 0*c + 0*c**2 + 1/2*c**k.
c**5/2
Let m(c) be the second derivative of c**5/4 - 25*c**4/12 - 20*c**3/3 + 30*c**2 - 16*c. Suppose m(q) = 0. Calculate q.
-2, 1, 6
Let p(y) be the second derivative of 0*y**2 - 3/20*y**5 + 5/12*y**4 - 4*y - 1/3*y**3 + 0. What is h in p(h) = 0?
0, 2/3, 1
Let k(q) be the first derivative of -2*q**6/3 - 4*q**5/5 + 5*q**4 + 20*q**3/3 - 8*q**2 - 16*q - 1. What is l in k(l) = 0?
-2, -1, 1, 2
What is x in 5*x**2 - x - x - 2*x**4 - 11*x**2 + 0*x - 6*x**3 = 0?
-1, 0
Suppose 0 = 4*k - 9*k + 5*h - 10, -34 = 5*k + h. Let p = k - -10. Factor -2*q - p*q**2 + 5*q**2 + 4*q**2.
q*(5*q - 2)
Suppose 5*n - 4 - 1 = -2*d, 2*n + 2*d = -4. Solve 3/5*w**n + 9/5*w**2 + 3/5 + 9/5*w = 0.
-1
Let d(h) = -6*h**2 - 3*h - 3. Let k(c) = -11*c**2 - 5*c - 5. Let u(g) = -5*d(g) + 3*k(g). Factor u(t).
-3*t**2
Let v(c) be the first derivative of -5*c**6/6 - 5*c**5 - 35*c**4/4 - 5*c**3 - 6. Suppose v(x) = 0. Calculate x.
-3, -1, 0
Let 0*f**4 + 0*f**2 - 1/2*f + 0 + f**3 - 1/2*f**5 = 0. Calculate f.
-1, 0, 1
Let d(s) be the first derivative of 0*s - 8/9*s**3 - 1/15*s**5 + 3 - 2/3*s**2 - 5/12*s**4. Factor d(y).
-y*(y + 1)*(y + 2)**2/3
Let -2/3*s + 2/3*s**3 - 2/3*s**2 + 2/3*s**4 + 0 = 0. What is s?
-1, 0, 1
Let x = 547/120 + -64/15. Let o(r) be the second derivative of -1/4*r**3 + 3/40*r**5 + 1/2*r**2 + 3*r - x*r**4 + 1/12*r**6 + 0. Factor o(p).
(p - 1)*(p + 1)**2*(5*p - 2)/2
Let y be 12*2*(-1)/(-6). Let c(d) be the first derivative of -2*d**5 + 2*d**3 + 4*d - 7/2*d**y + 7*d**2 + 1. Suppose c(j) = 0. Calculate j.
-1, -2/5, 1
Suppose 6*w**2 + 73*w**5 - 77*w**5 + 0*w**2 + 8*w**3 - 10*w**4 = 0. Calculate w.
-3, -1/2, 0, 1
Factor 0*q**3 - 4*q**3 - 12 - 93*q**2 - 28*q + 37*q**2 + 36*q**2.
-4*(q + 1)**2*(q + 3)
Let b be (-39)/2 + (-30)/20. Let a be 4 - (b/6 - -3). Factor -3/2*c**2 + a*c - 3.
-3*(c - 2)*(c - 1)/2
Let o = -44 + 47. Factor 0 - 2/9*a**o + 4/9*a + 2/9*a**2.
-2*a*(a - 2)*(a + 1)/9
Let s be (-32)/12 - 4/(-6). Let h be (-8)/16*s/4. Determine j so that 1/4*j**2 + h + 1/2*j = 0.
-1
Let k be (3 + -2)*0/(-2) + 0. Factor 4/5*v - 2/5*v**2 - 2/5*v**3 + k.
-2*v*(v - 1)*(v + 2)/5
Let f be (-1)/(0 - 4/12). Let u(d) = d**2 + d - 1. Let w(i) = i**2 - 3*i - 7. Let h(q) = f*u(q) - w(q). Factor h(r).
2*(r + 1)*(r + 2)
Let q(w) be the third derivative of w**7/420 + 3*w**6/80 + w**5/5 + w**4/3 - 15*w**2. Suppose q(g) = 0. What is g?
-4, -1, 0
Let f be 1118/455 + (-18)/21. Find s such that 2*s**2 + f + 16/5*s + 2/5*s**3 = 0.
-2, -1
Factor -4*p - 6*p - 6*p + 4*p**2 + 16.
4*(p - 2)**2
Let n(s) be the second derivative of s**6/150 + s**5/100 - s**4/20 - s**3/6 - s**2/5 - 9*s. Let n(v) = 0. Calculate v.
-1, 2
Let f(o) be the third derivative of o**6/360 + o**5/45 + 5*o**4/72 + o**3/9 - 6*o**2. Factor f(m).
(m + 1)**2*(m + 2)/3
Let c(g) = g**2 + 5*g + 5. Let a be c(-6). Let k be (5 - a)/((-18)/4). Determine l, given that 2/3 - k*l + 5/6*l**2 - 1/6*l**3 = 0.
1, 2
Let b(n) = -n**3 + 3*n**2 + 3*n + 7. Let a = 11 + -6. Let w(g) = g**3 - 3*g**2 - 2*g - 6. Let k be (-96)/(-15) - 8/20. Let o(y) = a*b(y) + k*w(y). Factor o(z).
(z - 1)**3
Suppose -4*r + 20 = 4*m, -5 = -4*r - 2*m + 3*m. Suppose -6/5*f**4 + 6/5*f**r + 0*f**3 - 3/5*f + 0 + 3/5*f**5 = 0. Calculate f.
-1, 0, 1
Let m = -695/12 - -58. Let h(c) be the third derivative of m*c**5 + 0*c**3 + 0 + c**2 - 1/12*c**4 + 0*c - 1/40*c**6. Let h(d) = 0. What is d?
0, 2/3, 1
Factor 13*b**2 - 10*b + 16*b + 7*b**2 + b**2.
3*b*(7*b + 2)
Let k be (36/8)/3*2. Suppose 5*c + 2*i = k*i + 13, -i + 5 = 4*c. Factor 0*r + 1/3*r**c + 0.
r**2/3
Let z(b) be the second derivative of -3*b - 9/40*b**6 + 17/24*b**3 + 0 + 1/4*b**2 + 27/80*b**5 + 15/16*b**4. Suppose z(h) = 0. What is h?
-1/3, 2
Let w(i) be the first derivative of i**6/18 + i**5/3 - 7*i**4/6 + 2*i**3/9 + 13*i**2/6 - 7*i/3 + 50. Let w(h) = 0. Calculate h.
-7, -1, 1
Let x = 303 + -298. Determine g, given that 1/4 + 5/4*g + 1/4*g**x + 5/2*g**2 + 5/4*g**4 + 5/2*g**3 = 0.
-1
Let d(w) be the second derivative of w**4/3 - 2*w**3 - 8*w**2 + 31*w. Solve d(s) = 0 for s.
-1, 4
Suppose -x + 0 = -2. Factor -2 + 1 - 2*o**x + 3.
-2*(o - 1)*(o + 1)
Let a = 2 - -3. Let -6*n**4 + 6*n**2 - 8*n**a + 0*n + 10*n**3 - 3*n + n = 0. Calculate n.
-1, 0, 1/4, 1
Factor -1/10*k**3 - 1/5 + 3/10*k + 0*k**2.
-(k - 1)**2*(k + 2)/10
Suppose 3*l + 0*l = 0. Let p be -2*(21/(-9) - -2). Factor l*m**2 + 2/3*m + 0 + p*m**5 - 4/3*m**3 + 0*m**4.
2*m*(m - 1)**2*(m + 1)**2/3
Suppose 0*j = -j + 2. Suppose 0 = -j*a + 4*a. Suppose -1/5*d**4 + 1/5*d**2 + 0 + 0*d**3 + a*d = 0. What is d?
-1, 0, 1
Let a(h) = 3*h**3 - 10*h**2 - 9*h + 9. Let i(v) = -3*v**3 + 11*v**2 + 10*v - 10. Let u(t) = -6*a(t) - 5*i(t). Determine o, given that u(o) = 0.
-1, 2/3, 2
Let w = 212 + -212. Factor w - 1/5*r - 1/5*r**2.
-r*(r + 1)/5
Let b(f) be the second derivative of f**5/4 - 55*f**4/6 + 605*f**3/6 + 6*f. Factor b(k).
5*k*(k - 11)**2
Let v be (-5)/20 + (-1077)/28. Let l = 39 + v. Suppose l*n**3 - 2/7*n**5 - 2/7*n**2 + 0 + 0*n + 2/7*n**4 = 0. Calculate n.
-1, 0, 1
Let i(d) = d**3 + 5*d**2 + 4*d + 1. Let o be i(-4). Factor -12*x**2 + 10*x**2 - 6*x + o + 1 + 6*x**3.
2*(x - 1)*(x + 1)*(3*x - 1)
Let a(y) = y**4 - y**3 + 3. Let f(o) = 3*o**4 - 2*o**3 + 8. Let v = -2 + 5. Let g(b) = v*f(b) - 8*a(b). Solve g(s) = 0.
-2, 0
Find y such that 4/3 - 1/3*y**4 + 1/3*y**2 + 1/3*y**5 + 8/3*y - 5/3*y**3 = 0.
-1, 2
Let p be 548/(-688) + (-1)/(-2). Let f = -2/43 - p. Find o such that 1/4*o - f*o**2 - 1/4*o**3 + 1/4 = 0.
-1, 1
Let s(v) be the second derivative of 2*v**6/75 - 3*v**5/25 + 2*v**4/15 - 10*v. What is u in s(u) = 0?
0, 1, 2
Suppose -2*w - 232 = -4*x, -5*x - 2*w + 284 = -6*w. Let t be (-24)/x - 16/(-15). Factor 8/3 + t*p**3 + 0*p - 2*p**2.
2*(p - 2)**2*(p + 1)/3
Let u(c) = -c**3 + 7*c**2 + c - 6. Let o be u(7). Let b be o*(-1 + 72/2). Suppose 2*l + 25/2*l**5 + 0 - 14*l**2 + 69/2*l**3 - b*l**4 = 0. What is l?
0, 2/5, 1
Let j = 114 + -1252/11. Factor 2/11*v**4 + 2/11*v + 0 - 2/11*v**2 - j*v**3.
2*v*(v - 1)**2*(v + 1)/11
Suppose 4*p - 21 = -3*m - 8, -2*p = 2*m - 6. Suppose p = c + c. Suppose 0*y + 2/9*y**4 + 0*y**c + 0 - 2/9*y**3 = 0. Calculate y.
0, 1
Let p(x) be the first derivative of 9*x**4 + 28*x**3 + 32*x**2 + 16*x - 11. Determine q, given that p(q) = 0.
-1, -2/3
Let q(c) be the third derivative of -1/60*c**7 - 1/48*c**4 + 0*c + 1/6*c**3 - 1/8*c**5 - 19/240*c**6 - 3*c**2 + 0. What is d in q(d) = 0?
-1, 2/7
Suppose -3 = 2*n - 3*k - 15, 2*n - 2*k - 10 = 0. Let -2*f**3 + 3*f**n + f**3 + 2*f**2 = 0. What is f?
-1, 0
Let w = -21 - -12. Let a be 3*2/w*-3. Factor -l**4 - l**a - 3*l**3 + 2*l - 2*l**2 - 3*l.
-l*(l + 1)**3
Let f be (0 + -4)/2*1. Let g be -4*1 + (-9)/f. Determine d, given that g*d**2 + 0*d + 0 = 0.
0
Let s(q) = q**3 - 4*q**2 + 4*q. Let r be s(3). Let v be 2/r - 0/1. Solve -2/3*p**2 + 0*p + 0 - v*p**3 = 0.
-1, 0
Let g be (-3)/9 + (1 - 5/15). Solve 2/3*a + 1/3*a**2 + g = 0.
-1
Let i = -8 - -15. Suppose 0 = -m + 3*f + 4, -5*m - f + 13 = -i. Solve -1/2*v**m - 3/2*v**3 - 3/2*v**2 + 0 - 1/2*v = 0.
-1, 0
Suppose 14*j - 4*j = 0. Let d(t) be the first derivative of 4 + 1/2*t**4 - 1/3*t**3 - 1/5*t**5 + j*t + 0*t**2. Factor d(c).
-c**2*(c - 1)**2
Suppose -2*c + 4*c = l + 5, l - 1 = -c. Let z(x) be the first derivative of -c + 2/9*x**3 + 8/3*x - 4/3*x**2. Solve z(g) = 0.
2
Let f be (-30)/(-18) + -3 - 19/(-12). Factor f*q**4 + 0*q - 1/4*q**2 + 0 - 1/4*q**5 + 1/4*q**3.
-q**2*(