 + 1. Let s(m) be the first derivative of x(m). Suppose s(d) = 0. Calculate d.
-2/5, 0
Let -1/4*z**2 - 9/2 + 19/4*z = 0. What is z?
1, 18
Let k be 33/18 + (3 - 85/30). Factor 0 - 4/7*b**k + 0*b.
-4*b**2/7
Factor 11*l + 28*l - 52*l**2 + 9*l - 88*l**2 + 32*l**3.
4*l*(l - 4)*(8*l - 3)
Let p be 0/((-3)/(-3)) + 236/615. Let o = p - -2/123. Find a such that 0*a - o*a**2 + 6/5*a**3 - 6/5*a**4 + 2/5*a**5 + 0 = 0.
0, 1
Let d(f) = -5*f**3 - f**2 + 3*f. Let p(v) = -9*v**2 - 22*v - 2 + 2 + 17*v**2 + 36*v**3. Let a(g) = 44*d(g) + 6*p(g). Solve a(q) = 0 for q.
0, 1
Let s(b) = -b**3 - 7*b**2 + 6*b - 8. Let m be s(-8). Suppose -2*x - m = -18. Factor 3/4*t**x + 0 + 0*t - 3*t**2 + 0*t**3 + 9/4*t**4.
3*t**2*(t - 1)*(t + 2)**2/4
Let k be ((-2)/6)/(4/(-36)). Let b = -8 - -14. Factor -24 - 15*u**k + 30*u**3 - 12*u + b*u**2 - 12*u**3.
3*(u - 2)*(u + 2)**2
Let p(t) be the first derivative of 16*t**3 - 36*t**2 - 5 + 27*t + 6 + 0. Factor p(a).
3*(4*a - 3)**2
Determine p, given that -6*p**2 + 219 - 1749/2*p = 0.
-146, 1/4
Let z(s) = 2*s**2 - 2. Let o be z(2). Suppose 8 = -o*b + 10*b. Factor -13 + 13 + 3*n**b.
3*n**2
Let l(g) be the second derivative of g**6/6 + g**5/2 - 5*g**4/12 - 5*g**3/3 + 48*g. Solve l(z) = 0.
-2, -1, 0, 1
Let j be 0/(1*3/(-9)*-3). Let d(q) be the first derivative of 0*q**2 + j*q**3 - 4 - 1/12*q**4 + 0*q. Factor d(w).
-w**3/3
What is p in 6/5*p**2 - 4/5*p - 6/5*p**4 + 2/5*p**3 + 2/5*p**5 + 0 = 0?
-1, 0, 1, 2
Factor -2*f + 3*f**2 - 10 + 3*f**2 - 8*f**3 - 11*f + 25*f.
-2*(f - 1)**2*(4*f + 5)
Let x = -208 + 212. Let d(m) be the third derivative of 0 + 0*m + 1/150*m**6 - 2*m**2 + 0*m**3 + 0*m**x + 1/75*m**7 + 1/168*m**8 + 0*m**5. Factor d(i).
2*i**3*(i + 1)*(5*i + 2)/5
Suppose -w - 28 = 3*w. Let o be w/((-98)/24) + (-6)/(-21). Factor -1/3*h**o + 4/3*h - 4/3.
-(h - 2)**2/3
Let j = 29/42 + -4/21. Factor c + 3/2*c**2 + j*c**3 + 0.
c*(c + 1)*(c + 2)/2
Factor 14 + 50*k + 5*k**2 + 5*k + 26 + 80.
5*(k + 3)*(k + 8)
Let p = 3971 + -3969. Factor -5/6*r**3 - 25/2*r - 15/2*r**p - 35/6.
-5*(r + 1)**2*(r + 7)/6
Factor -16/7 + 12/7*w**2 + 5/7*w**3 - 36/7*w.
(w - 2)*(w + 4)*(5*w + 2)/7
Let c(h) = -h**2 - 30*h - 53. Let y be c(-28). Factor -n + 4 + n - 8*n**3 + 10*n**y - 6*n.
2*(n - 1)**2*(n + 2)
Let j(p) be the third derivative of -1/30*p**6 + 2*p**2 + 10/3*p**3 + 1/6*p**4 + 0 - 1/3*p**5 + 0*p. Find v such that j(v) = 0.
-5, -1, 1
Let u = -101 + 86. Let i be 35/28 + u/(-12). What is a in 0 + a**2 + 0*a + i*a**3 - 7/2*a**4 = 0?
-2/7, 0, 1
Let f be (-671)/(-165) + (432/45 - 8). Factor -5*o**3 + 38/3*o**2 + 2/3 - f*o.
-(o - 2)*(3*o - 1)*(5*o - 1)/3
Let h(p) be the third derivative of p**7/840 + p**6/48 + p**5/10 + 11*p**4/48 + 7*p**3/24 + 8*p**2 + 4. Find x such that h(x) = 0.
-7, -1
Let k(o) be the first derivative of o**3 + 5*o**2/2 + 4*o + 4. Let z be k(-2). Solve -2*q + 0*q - 7*q - 6*q - z*q**2 - 6 = 0 for q.
-2, -1/2
Let v(i) be the first derivative of i**4/3 - 32*i**3/9 + 14*i**2/3 + 24. Suppose v(p) = 0. What is p?
0, 1, 7
Find c such that -11/2*c**2 + 18 + 12*c + 1/2*c**3 = 0.
-1, 6
Let i = -754 - -758. Suppose 20*d + 65/3*d**2 + 10*d**3 + 5/3*d**i + 20/3 = 0. What is d?
-2, -1
Let g(o) be the first derivative of -2*o**6 + 194*o**5/5 - 143*o**4 - 618*o**3 + 162*o**2 - 341. Suppose g(m) = 0. Calculate m.
-2, 0, 1/6, 9
Let w(a) be the third derivative of 33*a**2 + 0 - 1/25*a**5 - 1/30*a**4 - 11/600*a**6 + 0*a**3 - 1/350*a**7 + 0*a. Factor w(q).
-q*(q + 1)*(q + 2)*(3*q + 2)/5
Suppose -2*x + 14 = 5*z, -4 = 3*z - x - 4*x. Suppose -l = -0*l - 4*w - 14, 2*w = -z*l - 2. Suppose -64/3*s - 8/3 - 146/3*s**l - 30*s**3 = 0. Calculate s.
-1, -2/5, -2/9
Let b(r) = -r**4 - r**3 + r. Let k(x) = 2*x**4 - 3*x**3 + 2*x**2 + 3*x - 3. Let o(l) = -b(l) - k(l). Let o(d) = 0. What is d?
-1, 1, 3
Factor -9/2*v - 3/8*v**3 - 3 - 9/4*v**2.
-3*(v + 2)**3/8
Let g(v) = v**2 + 7*v + 11. Let i be g(-6). What is j in -21*j + 245*j**2 - 35*j + i - 14*j = 0?
1/7
Suppose 0 = -4*h - 3*h + 2184. Let p be h/91 - 0/((-1)/1). Factor 0*t - 8/7*t**2 + p*t**3 - 18/7*t**4 + 0.
-2*t**2*(3*t - 2)**2/7
Suppose -80*c + 34 = -63*c. Let z(b) be the first derivative of -2/5*b + 3 + 0*b**3 - 1/20*b**4 + 3/10*b**c. Determine p, given that z(p) = 0.
-2, 1
Suppose 99689*u - 99685*u = 0. Find i, given that 0*i + 2/7*i**2 + u = 0.
0
Let v(t) be the second derivative of -1/12*t**3 - 1/96*t**4 + 0 + 5/16*t**2 - 17*t. Factor v(x).
-(x - 1)*(x + 5)/8
Let v = -6 + 14. Let s be -3*(v/(-3) + 2). Suppose -k**2 + k**4 - 2*k + k**2 - 3*k**2 + 0*k**s = 0. Calculate k.
-1, 0, 2
Let j be (-14)/(-18)*-3*(-8)/84. Let g = j - -4/9. Factor g*h**2 - 2/3*h - 4/3.
2*(h - 2)*(h + 1)/3
Let i(t) = t**3 - t**2 + t - 1. Let m(v) = -3*v**3 + 7*v - 4. Let w(n) = 2*i(n) - m(n). Let w(y) = 0. What is y?
-1, 2/5, 1
Suppose k + 2*u - 684 = 0, k - 1012 = 5*u - 293. Let f = k + -2749/4. What is h in -f*h**3 - 15/4*h**4 - 3/2*h - 3/4*h**5 + 0 - 21/4*h**2 = 0?
-2, -1, 0
Let j = 95/267 - 2/89. Let l = -305/3 + 102. Let j*g + 0 + l*g**2 = 0. Calculate g.
-1, 0
Let z(f) = -f**2 - 8*f + 5. Let m be z(-8). Suppose 0 = 2*l - h - m, l - 2*h - 2 - 2 = 0. Let -16*s**3 + 5*s**3 + 7*s**3 + 8*s**l = 0. What is s?
0, 2
Let y(u) = -u**3 - 15*u**2 + 9*u + 322. Let z be y(-14). Factor z*o**3 + 2/5*o - 2/5*o**5 + 4/5*o**2 + 0 - 4/5*o**4.
-2*o*(o - 1)*(o + 1)**3/5
Suppose -11 = -5*p - r, -3*p - 6*r + r + 11 = 0. Suppose -5*o - 45 = -5*h, 2*h - 26 = -2*h + p*o. Find k such that 2 + 2 + k**2 - h*k**2 - k**2 = 0.
-1, 1
Suppose 8*m - 4*m + 280 = 0. Let f = m + 73. Determine y, given that 474/5*y**f - 378/5*y**5 + 69/5*y**2 - 81/5*y**4 - 96/5*y + 12/5 = 0.
-1, -2/3, 1/6, 2/7, 1
Suppose 8*n - 48 = -16. Let j(t) be the first derivative of -7/16*t**n + 0*t + 0*t**2 - 3/20*t**5 - 1/6*t**3 + 7. Suppose j(g) = 0. What is g?
-2, -1/3, 0
Let o = -76 - -76. Suppose o = 4*c + 5*c. Factor c - 4/5*y**2 - 2/5*y**3 + 0*y.
-2*y**2*(y + 2)/5
Let o(g) be the second derivative of -5/4*g**4 + 1/2*g**6 + 0 + 1/4*g**5 + 0*g**2 - 20*g - 5/3*g**3 + 5/42*g**7. Let o(i) = 0. What is i?
-2, -1, 0, 1
Determine h, given that -101*h - 53*h**2 - 67*h**2 - 20 - 52*h - 22 = 0.
-7/8, -2/5
Suppose -z = -2*f + 5, -5*z - 6*f + 2*f = -31. Let l be (-1*(-7)/(-2) + z)*-1. Determine a, given that -5/2*a**2 + 2*a**3 + a - l*a**4 + 0 = 0.
0, 1, 2
Suppose p = -2 + 13. Let t = 13 - p. Factor 2*r**2 - 3*r - 3*r**t - r**2 + 7*r.
-2*r*(r - 2)
Let l(h) = -h**2 - 5*h - 1. Let x be l(-2). Suppose o - 2*u - x = 5, -5*o = 3*u + 2. Factor -g - 3*g + 2*g**2 - g**o + 2*g.
g*(g - 2)
Factor 157*y**2 - 301*y**2 - 45 + 147*y**2 + 6*y.
3*(y - 3)*(y + 5)
Suppose -2*u - 2*q + 18 = u, -2*q = 0. Let z be (9/(-30))/((-9)/u). Factor -1/5*d**3 + z*d - 1/5 + 1/5*d**2.
-(d - 1)**2*(d + 1)/5
Let l be 1037/(-136) - (-6 + -2). Let y(f) be the first derivative of 9/20*f**5 + 3/2*f - 5/4*f**3 + 3/16*f**4 - l*f**2 - 4. Solve y(x) = 0 for x.
-1, 2/3, 1
Let n(b) be the first derivative of -4*b - 2/3*b**3 - b**2 - 5. Let h(f) = -3*f**2 - 2*f - 5. Let t(i) = -4*h(i) + 5*n(i). Factor t(z).
2*z*(z - 1)
Let l(s) be the third derivative of s**8/1512 - s**7/189 + s**6/60 - 7*s**5/270 + s**4/54 + 148*s**2. Determine m, given that l(m) = 0.
0, 1, 2
Suppose -t = 3*s + 7, -s = 2*s + 12. Suppose 7*f = -5*q + t*f - 6, f + 3 = 2*q. Determine w so that 1/2*w**3 + 0 + q*w**2 + 0*w = 0.
0
Let k(i) = -i**2 - 7*i - 2. Let c(p) = -3*p + 1. Let t be c(2). Let x be k(t). Suppose 6 - 3*z**2 + x*z + 2*z - 7*z = 0. Calculate z.
-1, 2
Let c = 27 - 24. Suppose -o + 4*o - 11 = -x, 2*o = 5*x - 4. Suppose -c*g**x + g**2 + g**4 - 250 + 251 = 0. Calculate g.
-1, 1
Let m(y) = 6*y**3 + 12*y**2 - 2*y - 8. Let k(f) = -5*f**3 - 11*f**2 + 2*f + 8. Let u(s) = 7*k(s) + 6*m(s). Factor u(a).
(a - 4)*(a - 2)*(a + 1)
Factor 345*i - 124*i - 553*i**2 + 4 - 77*i + 0.
-(7*i - 2)*(79*i + 2)
Let b be (-60)/18*(-12)/60. Solve 2/3*i**5 - 4*i**3 - 28/3*i**2 - 22/3*i + b*i**4 - 2 = 0.
-1, 3
Let z(b) be the third derivative of b**7/560 - b**6/90 + 7*b**5/240 - b**4/24 + 5*b**3/2 + 11*b**2. Let g(i) be the first derivative of z(i). Factor g(t).
(t - 1)**2*(3*t - 2)/2
Let j(i) be the second derivative of 0*i**4 - 1 - 1/9*i**3 + 1/6*i**2 - 1/90*i**6 - 11*i + 1/30*i**5. Determine z so that j(z) = 0.
-1, 1
Let a(m) be the second derivative of 2*m + 1/10*m**5 + 1/60*m**6 - 2*m**2 + 1/6*m**4 + 0*m**3 + 0. Let f