(t) - 2*u(t). Find x such that g(x) = 0.
-6, -2/5, 0, 2
Suppose 0 = -2*p + m + 4*m + 5, 0 = 2*m - 10. Determine s, given that 5*s**4 - 4*s**2 + 6*s**4 + s**5 + 5*s**3 + 2*s**2 - p*s**4 = 0.
0, 1, 2
Let d(q) = -q**3 - 26*q**2 - 168*q. Let n be d(-14). Factor -3/5*s**5 + n - 9/5*s**3 + 0*s - 3/5*s**2 - 9/5*s**4.
-3*s**2*(s + 1)**3/5
Solve 4*p**2 + 18 - 48*p - 84*p - 126 + 18 - 46 = 0 for p.
-1, 34
Let w(v) be the third derivative of -v**5/300 - 11*v**4/40 + 17*v**3/15 - 2*v**2 - 62*v. Suppose w(q) = 0. Calculate q.
-34, 1
Let j(x) = -x**2 + 21*x - 106. Let s be j(9). Factor 50/7 - 18/7*p**s + 30/7*p + 2/7*p**3.
2*(p - 5)**2*(p + 1)/7
Let j(b) be the second derivative of -2*b + 1/9*b**4 + 0*b**2 + 1/6*b**5 + 0 + 0*b**3. Solve j(z) = 0.
-2/5, 0
Let w be 4 + 9/((-9)/4). Let c(x) be the second derivative of 2/9*x**3 + 1/18*x**4 - 2*x + w + 1/3*x**2. Factor c(s).
2*(s + 1)**2/3
Let w(k) be the third derivative of 0 + 0*k + 10*k**2 + 1/480*k**6 + 0*k**3 - 1/48*k**4 - 1/240*k**5. Factor w(c).
c*(c - 2)*(c + 1)/4
Let z(d) be the first derivative of -2/27*d**3 + 0*d**2 + 0*d**4 + 0*d + 2/45*d**5 + 5. Determine k, given that z(k) = 0.
-1, 0, 1
Let c(q) be the third derivative of 1/15*q**5 + 392/3*q**3 + 0*q + 0 - 14/3*q**4 - 33*q**2. Solve c(n) = 0 for n.
14
Let m(y) = -80*y**3 - 122*y**2 - 47*y - 3. Let o(l) = -560*l**3 - 855*l**2 - 330*l - 20. Let c = -54 + 52. Let a(u) = c*o(u) + 15*m(u). Factor a(q).
-5*(q + 1)*(4*q + 1)**2
Let c(h) be the second derivative of -h**8/588 + h**6/35 + 8*h**5/105 + h**4/14 + 11*h**2 + 36*h. Let f(o) be the first derivative of c(o). Factor f(p).
-4*p*(p - 3)*(p + 1)**3/7
Suppose -126 = -6*f - 90. Let t(h) be the first derivative of -8 - 7/2*h**4 + 42/5*h**5 + 16*h**2 - 3*h**f - 34/3*h**3 - 8*h. Suppose t(r) = 0. What is r?
-1, 2/3, 1
Let k be (13 - 9) + (2 - 1)*-6. Let c be k - (3 + 155/(-25)). Find v, given that -8/5*v - 2/5*v**2 - c = 0.
-3, -1
Let a(z) be the first derivative of -4/5*z**5 - 128/3*z**3 + 1/30*z**6 + 6 + 128*z**2 + 8*z**4 - 8*z. Let i(d) be the first derivative of a(d). Factor i(c).
(c - 4)**4
Factor 13165*o**2 - 13166*o**2 - 8559 - 18337 + 328*o.
-(o - 164)**2
Let o(a) = -27*a**2 - 159*a - 18. Let s(d) = -53*d**2 - 316*d - 34. Let j(q) = 13*o(q) - 6*s(q). Factor j(u).
-3*(u + 5)*(11*u + 2)
Let s(r) be the third derivative of r**5/80 + 21*r**4/32 + 5*r**3/2 - 13*r**2 + 2. Determine v, given that s(v) = 0.
-20, -1
Let q(n) be the first derivative of 0*n + 1/4*n**4 + 24 + 0*n**3 - 9/2*n**2. Factor q(b).
b*(b - 3)*(b + 3)
Let s be -1 + (-10)/7 - (-1115)/446. Let c(t) be the second derivative of 0*t**4 + 0*t**2 + 1/10*t**6 + 0*t**3 + 7*t + 3/10*t**5 - s*t**7 + 0. Factor c(r).
-3*r**3*(r - 2)*(r + 1)
Let q(p) = -p**3 + 3*p**2 + 3*p + 1. Let f be q(-2). Let j be 10/f - (-8)/(-21). Find w such that 0*w**2 + j*w - 12/7*w**3 + 0 - 6/7*w**5 + 16/7*w**4 = 0.
-1/3, 0, 1
Let d(r) be the first derivative of -16*r**6/21 - 144*r**5/35 + r**4/2 + 278*r**3/21 - 66*r**2/7 + 16*r/7 - 17. Suppose d(x) = 0. What is x?
-4, -2, 1/4, 1
Let d(p) be the first derivative of -2*p**3/15 - 2*p**2 + 22*p/5 - 141. Factor d(q).
-2*(q - 1)*(q + 11)/5
Let x(z) be the third derivative of z**6/360 + 23*z**5/180 + 143*z**4/72 + 121*z**3/18 + 19*z**2. Let x(m) = 0. What is m?
-11, -1
Let d(u) be the third derivative of 7*u**6/120 + u**5/12 - 2*u**4/3 + 2*u**3/3 - 20*u**2 - 2. Factor d(w).
(w - 1)*(w + 2)*(7*w - 2)
Suppose -216*z = -228*z. Determine d so that z - 2/11*d**3 + 2/11*d**4 - 4/11*d**2 + 0*d = 0.
-1, 0, 2
Let t(c) be the first derivative of -3 + 2/27*c**3 + 0*c + 1/18*c**4 - 2/9*c**2. Factor t(w).
2*w*(w - 1)*(w + 2)/9
Let g = 648 + -646. Factor 3/2*l - 1/2*l**g + 0.
-l*(l - 3)/2
Let r(u) = u**3 - 7*u**2 + 9*u - 14. Let p be r(6). Let a(i) be the first derivative of -2/15*i**3 + 1/10*i**4 + 2/5*i - 1/5*i**2 - p. Factor a(o).
2*(o - 1)**2*(o + 1)/5
Let b(o) = -48*o**2 - 128*o - 224. Let w(g) = -7*g**2 - 18*g - 32. Let d(j) = 3*b(j) - 20*w(j). Factor d(a).
-4*(a + 2)*(a + 4)
Suppose -9800 + 34860*v + 1428*v**3 + 6821*v**4 - 5907*v**2 - 6841*v**4 - 20561*v**2 = 0. What is v?
2/5, 1, 35
Let s be 350/42*(-12)/(-10). Suppose 3*i + 4 = s. Factor 2/11*d**3 - 4/11 - 6/11*d + 0*d**i.
2*(d - 2)*(d + 1)**2/11
Let d(f) be the third derivative of -2*f**7/105 + 2*f**6/15 - f**5/5 - 2*f**4/3 + 8*f**3/3 - 34*f**2. Solve d(u) = 0 for u.
-1, 1, 2
Suppose -20 = -b - 18. Let o(j) be the first derivative of -3/4*j**b - 3 + 0*j - 21/20*j**5 - 3*j**4 - 11/4*j**3. Factor o(k).
-3*k*(k + 1)**2*(7*k + 2)/4
Suppose 0*y**3 + 0 + 2/13*y**5 - 2/13*y**4 + 0*y + 0*y**2 = 0. What is y?
0, 1
Let s be (-22)/(-2) - ((-4818)/42)/(-11). What is z in 2/7*z**2 + s - 6/7*z = 0?
1, 2
Let b(q) = 15*q**2 - 54*q + 60. Let s(z) = -13*z**2 + 52*z - 62. Let a(r) = 5*b(r) + 6*s(r). Find m such that a(m) = 0.
2, 12
Let q(w) be the first derivative of -9/10*w**2 - 6/5*w - 9 - 1/5*w**3. Factor q(j).
-3*(j + 1)*(j + 2)/5
Let y be 3 - (4 + -2 + -3). Suppose -31 = -y*t - 7. Determine x so that -4 - 45*x**3 - 4*x**5 - 23*x - 3*x + 5*x**3 - 20*x**4 - 40*x**2 + t*x = 0.
-1
Let g(u) be the first derivative of 0*u + 3 + 0*u**2 + 1/8*u**3 - 1/32*u**4. Let g(a) = 0. Calculate a.
0, 3
Suppose -29*r - 54 = -141. Let i(d) be the second derivative of 2*d - 1/16*d**2 - 1/96*d**4 - 1/24*d**r + 0. Find s such that i(s) = 0.
-1
Suppose 2*f + 3*f = 0, -425 = r - 4*f. Let p = -284 - r. Solve -19*d**2 - p*d**3 + 168*d**4 + 5*d**2 - 19*d**2 + 6*d = 0.
-2/7, 0, 1/8, 1
Factor -88/3*o - 340/3 - 4/3*o**2.
-4*(o + 5)*(o + 17)/3
Let u(t) be the second derivative of -t**6/360 - t**5/30 - t**4/8 + 13*t**3/6 - 10*t. Let v(n) be the second derivative of u(n). Factor v(q).
-(q + 1)*(q + 3)
Let o(s) be the first derivative of -s**4/4 - 7*s**3/3 - 15*s**2/2 - 9*s - 55. Let o(u) = 0. What is u?
-3, -1
Let z(i) be the third derivative of -1/12*i**4 - 4/15*i**3 - 1/150*i**5 + 0 + 0*i - 21*i**2. Factor z(w).
-2*(w + 1)*(w + 4)/5
Suppose 0 = -3*z + 12, -31 = 3*q + 3*z - 88. Let i be q/3 + 23/(-5). Let -4/3*l - 2/15*l**4 - 8/5*l**2 - i - 4/5*l**3 = 0. What is l?
-3, -1
Let d = 30/31 - 86/217. Let x = 252 - 1758/7. Factor x*p - d - 2/7*p**2.
-2*(p - 2)*(p - 1)/7
Let u(a) be the first derivative of -5*a**3/3 + 95*a**2/2 - 368. Factor u(b).
-5*b*(b - 19)
Let t(b) be the second derivative of b**6/5 - b**4/6 - 2*b**3/3 + 3*b. Let w(f) = 5*f**4 + f**3 - 2*f**2 - 4*f. Let j(k) = 3*t(k) - 4*w(k). Factor j(m).
-2*m*(m - 1)*(m + 1)*(m + 2)
Let w(f) be the first derivative of 0*f + 4*f**3 - 2*f**2 - 37 + f**4 - 12/5*f**5. Determine c so that w(c) = 0.
-1, 0, 1/3, 1
Let q(u) be the second derivative of u**5/4 + 5*u**4 + 35*u**3/2 + 25*u**2 + 244*u. Factor q(k).
5*(k + 1)**2*(k + 10)
What is a in 13718 + 222*a**3 - 3*a**4 + 5529*a**2 + 8*a**4 + 65*a**3 + 14578*a + 21883*a = 0?
-19, -2/5
Let t = 19 - 17. Factor 6*s - 9*s**3 + 3*s**3 - 3 + t*s**4 + s**4.
3*(s - 1)**3*(s + 1)
Let f = -221 + 224. Suppose f*v + o - 11 = 6, -o = -5*v + 15. Solve 0*l - 1/7*l**2 - 1/7*l**3 + 1/7*l**v + 1/7*l**5 + 0 = 0 for l.
-1, 0, 1
Let b(q) be the second derivative of -5*q**7/42 + 5*q**6/6 - q**5 - 45*q - 1. Let b(n) = 0. What is n?
0, 1, 4
Let v = 83 - 81. Solve -10*t**4 - 52*t**2 - 2*t**5 - 24*t**3 - 10*t + 32*t**v - 2 + 4*t**3 = 0 for t.
-1
Let s = 3867 - 50247/13. Let b = -46/39 + s. Suppose -1/3*y**5 - 1/3*y - b*y**4 + 4/3*y**2 + 2/3*y**3 - 2/3 = 0. Calculate y.
-2, -1, 1
Let r(w) = -7*w**2 + 8*w - 3*w**2 - 2 + 8*w**2. Let i be r(3). Find o, given that 3*o + 105*o**i + 8*o**3 - 9*o**2 + o**3 - 108*o**4 = 0.
0, 1
Suppose -7*v = 2 + 40. Let n(d) = d**3 + d + 1. Let m(b) = -9*b**3 + b**2 + 6*b - 10. Let y(u) = v*n(u) - m(u). Factor y(c).
(c - 2)*(c + 2)*(3*c - 1)
Let q(b) = -b**2 + 9*b - 6. Let r be q(8). Let i = -1/2 + r. Factor 0 - 9/2*u + i*u**2.
3*u*(u - 3)/2
Let s(t) = -66*t**4 + 1638*t**3 + 1650*t**2 + 27*t. Let w(l) = -5*l**4 + 126*l**3 + 127*l**2 + 2*l. Let g(n) = 2*s(n) - 27*w(n). Let g(y) = 0. Calculate y.
-1, 0, 43
Let 2903/4*o**3 - 131/8*o**4 - 79507/8 + 164561/8*o - 45365/4*o**2 + 1/8*o**5 = 0. What is o?
1, 43
Let k(s) be the first derivative of -2*s**3/57 + 2*s**2/19 - 2*s/19 + 131. Suppose k(u) = 0. What is u?
1
Let z be ((-24)/96)/(14/16)*(-315)/135. Factor z*l**2 - 10/3*l + 4.
2*(l - 3)*(l - 2)/3
Let r(o) = -4*o**5 - 35*o**4 - 8*o**3 + 