 y(v) = -v**2. Let j(d) = z*n(d) + y(d). Solve j(u) = 0.
2
Let a(f) be the first derivative of 4*f**6/63 + 2*f**5/35 - f**4/42 - 216. Determine v so that a(v) = 0.
-1, 0, 1/4
Suppose 0 = 959*c - 926*c - 132. Factor -c*i - 1/6*i**3 - 11/6*i**2 + 6.
-(i - 1)*(i + 6)**2/6
Let c(g) = -12*g**2 + 15*g + 7. Let r(h) = -h - 1. Let d(x) = c(x) + 5*r(x). Let u(l) = -12*l**2 + 10*l + 2. Let z(j) = 3*d(j) - 2*u(j). Factor z(t).
-2*(t - 1)*(6*t + 1)
Let f be (-244)/3 + 8/24. Let i = f - -245/3. What is n in 0 - 1/3*n**3 + 1/3*n**2 + i*n = 0?
-1, 0, 2
Let g be 972/162 + -2*((-135)/(-14))/5. Solve -g*u + 12/7*u**2 - 3/7*u**3 + 6/7 = 0.
1, 2
Let l(y) = 2*y**2 - 27*y + 45. Let f(b) = -25*b**2 + 325*b - 540. Let w = -28 - 7. Let s(x) = w*l(x) - 3*f(x). Find c such that s(c) = 0.
3
Let o(x) = 5*x**2 + 64*x + 50. Let q be o(-12). Factor -32/15*d**3 + 4/15*d - 6/5*d**4 + 0 - 2/3*d**q.
-2*d*(d + 1)**2*(9*d - 2)/15
Let k(h) = 7*h - 32. Let w be (1 - -2) + 4/2 - 0. Let a be k(w). Factor -3/4*c**2 + 0*c + 0 + 0*c**a + 3/4*c**4.
3*c**2*(c - 1)*(c + 1)/4
Suppose 2*b = 5*g - 33, 0*b + 3*b + 22 = 2*g. Suppose -c + 0*c + 3 = -3*m, 0 = -g*m + 3*c - 9. Factor 3 - 2 - 5 + y**2 + m*y**2.
(y - 2)*(y + 2)
Factor 0 + 2/5*g**4 + 28/5*g**2 + 6*g**3 + 0*g.
2*g**2*(g + 1)*(g + 14)/5
Let c(g) = -g**2 + 5*g - 1. Let x be c(3). Suppose 0 = 4*f + 3*p - 5, -x*f + 16 = -4*p - 29. What is u in -8*u**3 + 10*u**4 + 97*u**5 + 2*u**4 - 101*u**f = 0?
0, 1, 2
Determine i, given that -4008*i + 4086*i - 5*i**2 + 7*i**2 + 76 = 0.
-38, -1
Let k = -14392 - -14395. Factor 0 + 38/13*c**2 - 20/13*c - 16/13*c**k - 2/13*c**4.
-2*c*(c - 1)**2*(c + 10)/13
Let z(t) = -t**2 - 5*t - 1. Let l be 6/9*3*-2. Let g be z(l). Factor 18*q**2 - 2*q + 24 - 13*q - 11*q - 10*q - 3*q**g.
-3*(q - 2)**3
Let z be (-21)/(-70)*(-45)/(-162). Let x(y) be the third derivative of z*y**4 + 0 + 1/30*y**5 - 2/3*y**3 + 0*y - 10*y**2. Determine q, given that x(q) = 0.
-2, 1
Suppose 0*d = -5*d + 15. Suppose -q + 3*m = -3, -d*q + 5*m + 12 = q. Factor -149*b**3 - b**5 + 155*b**3 - 2*b**5 - q*b.
-3*b*(b - 1)**2*(b + 1)**2
Let q(o) be the first derivative of -343*o**5/30 + 1813*o**4/6 + 1064*o**3/3 + 460*o**2/3 + 88*o/3 - 74. Let q(b) = 0. What is b?
-2/7, 22
Let h(x) be the second derivative of -2*x**5/5 + 89*x**4/6 - 22*x**3/3 - 112*x. Factor h(i).
-2*i*(i - 22)*(4*i - 1)
Let q be 6*(-2 - (-25)/10). Factor -4*k - 559*k**q + 277*k**3 - 6*k**2 + 280*k**3.
-2*k*(k + 1)*(k + 2)
Find j, given that -404*j**2 - 150*j + 0*j**5 - 156*j**4 + 347*j**3 - 48*j**2 - 2*j**5 - 803*j**3 = 0.
-75, -1, 0
Let h(o) = -5*o**2 - 15*o - 3. Let s(u) = -u**2 + u - 1. Let j(a) = -h(a) + 3*s(a). Let j(r) = 0. What is r?
-9, 0
Find u such that -400/9 + 4/9*u**3 - 56/9*u**2 + 260/9*u = 0.
4, 5
Let m(t) = 13*t**2 - 21*t + 5. Let r(i) be the first derivative of -7*i**3/3 + 11*i**2/2 - 3*i - 12. Let o(c) = -3*m(c) - 5*r(c). Factor o(n).
-4*n*(n - 2)
Let v(a) be the first derivative of a**6/180 + a**5/30 + a**4/12 + 2*a**3 + 17. Let d(g) be the third derivative of v(g). Find p such that d(p) = 0.
-1
Suppose -y**2 + 1/2 + 0*y + 0*y**3 + 1/2*y**4 = 0. Calculate y.
-1, 1
Let q(a) be the first derivative of a**3/3 + 5*a**2/2 - 36*a + 461. Find w, given that q(w) = 0.
-9, 4
Suppose 0 = -59*u + 220 - 43. Let j(q) be the third derivative of 6*q**2 + 0*q + 1/150*q**5 - 1/120*q**4 + 0*q**u + 0 - 1/600*q**6. Find l such that j(l) = 0.
0, 1
Let o(m) be the first derivative of -m**5/5 - 2*m**4 - 20*m**3/3 - 8*m**2 - 142. Solve o(c) = 0.
-4, -2, 0
Let f(l) be the third derivative of l**7/7560 - l**6/108 + 5*l**5/18 - 2*l**4/3 - 31*l**2. Let q(k) be the second derivative of f(k). Factor q(h).
(h - 10)**2/3
Let z be -3*(-7)/((-84)/(-16)). Let l(q) be the third derivative of 0*q - 1/300*q**5 + z*q**2 + 0 + 1/1050*q**7 + 0*q**4 + 0*q**6 + 0*q**3. Factor l(x).
x**2*(x - 1)*(x + 1)/5
Let o(h) be the second derivative of 0*h**2 - 1/15*h**4 + 0 + 2/105*h**7 + 2/75*h**6 + 4/15*h**3 + 29*h - 3/25*h**5. Find i such that o(i) = 0.
-2, -1, 0, 1
Let g(p) = 2*p + 15. Let r be g(-5). Suppose 4*h + 0*h = 32. Determine a, given that 165*a**4 - 147*a**3 - 2*a - 4*a + 51*a**2 - 35*a**r - 36*a**5 + h*a**5 = 0.
0, 2/7, 1/3, 1
Let x(c) = -c**3 + 3*c**2 + c. Let p be x(3). What is j in 2*j + 23*j**p - 25*j**3 - 4 - 11*j**2 + 15*j**2 = 0?
-1, 1, 2
Let n = 214 + -214. Let p be 4/10 + 9/(-135). Factor 1/3*d**2 + 0*d - p*d**4 + n + 0*d**3.
-d**2*(d - 1)*(d + 1)/3
What is m in -141 - 39 - 960*m - 67*m**2 - 265*m**3 - 643*m**2 - 20*m**4 - 315*m**2 = 0?
-6, -1, -1/4
Find q, given that -4 + 4*q - 9*q + 0*q - 6*q**2 + 4 = 0.
-5/6, 0
Let t = -507 - -512. Let l(z) be the second derivative of 7*z + 1/12*z**4 - 1/2*z**3 + 3/20*z**t + 1/30*z**6 + 0 - z**2. Factor l(o).
(o - 1)*(o + 1)**2*(o + 2)
Let t = 5/361 + 697/1805. Let l(r) be the first derivative of -t*r**5 - 5 + 2/3*r**3 + 0*r - 2*r**2 + 3/2*r**4 - 1/3*r**6. Determine z, given that l(z) = 0.
-2, -1, 0, 1
Suppose -12507*p = -12521*p. Factor 0*o + 6/5*o**3 - 2/5*o**5 + p*o**4 + 0 + 4/5*o**2.
-2*o**2*(o - 2)*(o + 1)**2/5
Let v(b) = -b**2 - 7*b - 21. Let k(m) = 6*m**2 + 44*m + 129. Let p(w) = -6*k(w) - 34*v(w). Factor p(f).
-2*(f + 3)*(f + 10)
Let v(k) be the second derivative of -k**6/120 - k**5/20 - 17*k**3/6 - 8*k. Let a(p) be the second derivative of v(p). Factor a(x).
-3*x*(x + 2)
Let d(u) be the third derivative of 0*u**4 - 4/105*u**5 + 0 + 2/147*u**7 - 4/105*u**6 + 0*u**3 + 0*u - 15*u**2. Factor d(z).
4*z**2*(z - 2)*(5*z + 2)/7
Let z(s) be the second derivative of s**6/12 - 11*s**5/20 + 7*s**4/6 - 2*s**3/3 + 270*s. Let z(r) = 0. What is r?
0, 2/5, 2
Let s = 191/285 - 1/285. Factor -32/3 - s*c**2 + 16/3*c.
-2*(c - 4)**2/3
Factor 0 - 13/11*u**3 - 35/11*u + 47/11*u**2 + 1/11*u**4.
u*(u - 7)*(u - 5)*(u - 1)/11
Let u(a) be the second derivative of 0*a**2 + 0 + 0*a**4 + 1/35*a**5 + 0*a**3 - 13*a. Factor u(x).
4*x**3/7
Let j(f) = -2*f**3 + 5*f**2 - 11*f + 19. Let y(o) = -10 + 6*o - 3*o**2 - 56*o**3 + 25*o**3 + 32*o**3. Let v(k) = 6*j(k) + 11*y(k). Factor v(l).
-(l - 1)*(l + 2)**2
Let v(g) = -4*g - 14. Let f be v(-4). Let p be 4 + (-7)/f - -2. Factor 1/2*s**5 - 1/2 + 5*s**3 + p*s - 5*s**2 - 5/2*s**4.
(s - 1)**5/2
Suppose -r + 9 = 5. Suppose -4*i + 22 = -c, i = -r*c - 3 - 0. What is o in -2 - 3*o**4 - 3*o**3 - 3*o**3 + i + 6*o = 0?
-1, 1
Solve -2*n**3 - 3*n**3 + 32 + 24*n - 4*n**4 - 16*n**2 + 6*n**4 - n**3 + 0*n**3 = 0 for n.
-2, -1, 2, 4
Let h(u) = 7*u**3 - 317*u**2 + 6615*u - 46305. Let j(c) = -c**3 + c**2. Let q(t) = -h(t) - 2*j(t). Factor q(o).
-5*(o - 21)**3
Let d(v) be the third derivative of v**7/280 + 7*v**6/160 + v**5/16 - 7*v**4/32 - 3*v**3/4 + 45*v**2. Suppose d(k) = 0. Calculate k.
-6, -1, 1
Let k(l) be the first derivative of -5*l**3 - 10*l + l**5 + 5 + 5/4*l**4 - 25/2*l**2. Solve k(y) = 0.
-1, 2
Let x be (-5 + 2)/(-15 + 1 + 13)*1. Find n such that 0*n + 0 - 2/3*n**2 - 2/3*n**4 - 4/3*n**x = 0.
-1, 0
Let y(c) = c**3 - 5*c**2 - 10*c + 20. Let x be y(6). Let q = x - -6. Solve -v**q - 1/3 + 4/3*v = 0 for v.
1/3, 1
Let v(z) be the third derivative of z**6/600 - 2*z**5/25 + 8*z**4/5 - 5*z**3/3 - 23*z**2. Let a(w) be the first derivative of v(w). Find g, given that a(g) = 0.
8
Let o(u) = -32 + 0*u**2 + 30 + u**2. Let j be o(-2). Determine h, given that 1/5*h**3 - 1/5*h**j + 0 - 2/5*h = 0.
-1, 0, 2
Let j(q) be the second derivative of q**4/36 + 7*q**3/9 + 4*q**2 + 2*q + 28. Suppose j(f) = 0. What is f?
-12, -2
Let z = 180463/4 - 45111. Factor -3/2 + 15/4*u**2 - 7*u**3 + z*u.
-(u - 1)*(4*u + 3)*(7*u - 2)/4
Let y(z) be the third derivative of -z**6/30 + 29*z**5/15 - 80*z**4/3 - 512*z**3 + 17*z**2 + 12. Suppose y(v) = 0. Calculate v.
-3, 16
Let f = 11 - -11. Let l = 31 - f. Suppose -o**4 - 7*o**3 + l*o**3 - o**4 = 0. What is o?
0, 1
Let 0*y + 8/9*y**4 - 20/9*y**2 - 14/9*y**3 + 2/9*y**5 + 0 = 0. What is y?
-5, -1, 0, 2
Let a = -2097 - -41941/20. Let o(f) be the third derivative of -3/8*f**4 + 0*f - 12*f**2 + 0 - a*f**5 - f**3. Let o(k) = 0. Calculate k.
-2, -1
Let b = -51 + 56. Factor 43*i**2 + 7*i**2 - 50*i + 10 + b*i + 25*i**5 + 0*i - 60*i**4 + 20*i**3.
5*(i - 1)**3*(i + 1)*(5*i - 2)
Determine h, given that 64 + 28*h**3 + 260*h**4 - 92*h**2 + 274*h**4 - 32*h + 4*h**5 - 506*h**4 = 0.
-4, -1, 1
Let k be 119/70 - 1/5. Let o(h) be the first derivative of -2*h**3 + 3/4