 d(c) = -c**2 + 12*c + 33. Let v be d(11). Factor -92 + 82 + 55*s + v*s**3 + 13*s**2 - 9*s**3 - 93*s**2.
5*(s - 1)**2*(7*s - 2)
Let q(h) = -7*h + 65. Let z(s) = -14*s - 89. Let k be z(-7). Let g be q(k). Let -1/6*j + 1/2*j**g - 1/3 = 0. Calculate j.
-2/3, 1
Let g(l) = 15*l**3 - 22*l**2 + 12*l. Suppose -2*d + 4 = -5*z - 3, 2*d - 2 = 0. Let m(n) = n**2. Let t(u) = z*g(u) + 5*m(u). Factor t(h).
-3*h*(h - 1)*(5*h - 4)
Let v(y) be the second derivative of 25*y + 1/21*y**7 + 1/2*y**5 + 0 + 0*y**3 - 1/3*y**4 - 4/15*y**6 + 0*y**2. Factor v(x).
2*x**2*(x - 2)*(x - 1)**2
Let g be (-6)/((-120)/(-5))*-20 + (1 - 2). Find m, given that -36/7*m - 12/7 - 3/7*m**3 - 33/7*m**2 + 3/7*m**5 + 9/7*m**g = 0.
-2, -1, 2
Suppose -4*y + 17 + 3 = 0, -2*g - 4*y + 26 = 0. Determine o, given that -2/9*o**2 + 2/9*o**g - 2/9*o + 2/9 = 0.
-1, 1
Suppose 2*s = -y + 6*y - 14, -3*y - 2 = 4*s. Let z(f) be the third derivative of -1/120*f**5 + 0 + 0*f**4 + 2*f**y + 0*f**3 - 1/96*f**6 + 0*f. Solve z(j) = 0.
-2/5, 0
Let g(a) = -18*a**5 - 31*a**4 - 113*a**3 - 103*a**2 + 159*a + 98. Let c(h) = -2*h**5 + h**3 - h**2 + 1. Let f(q) = -24*c(q) + 3*g(q). Solve f(m) = 0 for m.
-10, -3, -1/2, 1
Let r(v) = -13*v + 2. Let d be r(2). Let n = d - -26. Factor -3*o**2 + 6*o**2 + 20*o**3 + 7*o**2 + 2*o + 3*o**n + 9*o**4.
o*(o + 1)**2*(9*o + 2)
Let u = 1973/6189 - -30/2063. Solve -u*c**2 - 1/3 - 2/3*c = 0.
-1
Let z = -34 - -32. Let j be 1199/330 + z/15. Find c such that 5/2*c**3 + c + 0 + j*c**2 = 0.
-1, -2/5, 0
Let o be ((-3)/(150/(-20)))/(3/15). Find w, given that 4 + 2/3*w**o - 14/3*w = 0.
1, 6
Let m(n) be the second derivative of 0*n**4 + 1/14*n**3 + 20*n + 0*n**2 + 0*n**6 + 0 + 1/98*n**7 - 3/70*n**5. Suppose m(u) = 0. Calculate u.
-1, 0, 1
Let v = 826 - 823. Let a(r) be the first derivative of 0*r - 2/5*r**2 + 2/15*r**v + 1. Factor a(x).
2*x*(x - 2)/5
Let l = 28117 - 28115. Find d, given that 2/5*d + 4/5 - 6/5*d**3 - 8/5*d**l = 0.
-1, 2/3
Suppose 0 - 12/7*k + 4/7*k**4 - 3/7*k**5 - 8/7*k**2 + 19/7*k**3 = 0. Calculate k.
-2, -2/3, 0, 1, 3
Let w(m) be the third derivative of -m**6/540 + m**5/90 + m**4/108 - m**3/9 - 23*m**2 + m. Determine s so that w(s) = 0.
-1, 1, 3
Let f be (6/11)/(-3) - 46/(-11). Let z(v) be the third derivative of -3*v**2 - 2/5*v**3 - 1/20*v**5 + 0*v + 1/200*v**6 + 0 + 1/5*v**f. Factor z(k).
3*(k - 2)**2*(k - 1)/5
Let w(p) be the first derivative of 3*p + 5 + 1/3*p**4 - 1/15*p**6 - p**2 + 0*p**3 + 0*p**5. Let l(m) be the first derivative of w(m). Let l(t) = 0. What is t?
-1, 1
Let k be 196/91 - (5 + 504/(-104)). Find g such that 12/5 + 3/5*g**3 - 3/5*g - 12/5*g**k = 0.
-1, 1, 4
Suppose -5*i + 85*t + 7 = 83*t, 2*i - 18 = -3*t. Let w(m) be the first derivative of 1/6*m**i + 1/8*m**4 - 1/2*m - 1/4*m**2 + 13. Solve w(l) = 0.
-1, 1
Factor 54*f + 118 - 93*f + 32 + 60*f**2 + 254*f - 5*f**3 + 0*f**3.
-5*(f - 15)*(f + 1)*(f + 2)
Let x(o) be the second derivative of o**6/6 + 7*o**5 + 415*o**4/6 - 350*o**3 + 1125*o**2/2 + 9*o + 9. Find k such that x(k) = 0.
-15, 1
Let y(g) = g**2 - 2*g + 2. Let x(c) = -3*c**2 + 50*c - 49. Let i(r) = 2*x(r) + 4*y(r). Factor i(j).
-2*(j - 45)*(j - 1)
Let 2/5*h**4 + 0*h + 2/5*h**5 + 0 - 18/5*h**2 - 18/5*h**3 = 0. What is h?
-3, -1, 0, 3
Let g(s) = 6*s**2 + 1764*s + 129654. Let k(p) = 2*p**2 + 588*p + 43218. Let l(q) = 4*g(q) - 11*k(q). Factor l(w).
2*(w + 147)**2
Let c(g) be the second derivative of -g**5/50 + g**3/5 - 2*g**2/5 + 2*g - 3. Let c(j) = 0. What is j?
-2, 1
Determine w so that -95*w**4 - 116*w**2 + 526*w**3 - 1004*w**2 + 2*w**5 + 640*w + 114*w**3 + 3*w**5 - 70*w**3 = 0.
0, 1, 2, 8
Let w(h) = -2*h**2 + 42*h + 464. Let n be w(-8). Let t(y) be the second derivative of -11*y + 0*y**2 + 2/39*y**3 - 3/26*y**4 + n + 7/130*y**5. Factor t(b).
2*b*(b - 1)*(7*b - 2)/13
Let w(v) be the second derivative of v**6/50 + 12*v**5/25 + 21*v**4/10 + 4*v**3 + 39*v**2/10 + 2*v + 38. Let w(f) = 0. Calculate f.
-13, -1
Let y(i) be the third derivative of -1/48*i**4 - 1/360*i**5 - 1/18*i**3 + 0*i + 11*i**2 + 0. Solve y(r) = 0 for r.
-2, -1
Let k = -49 + 63. Factor k*c - 14*c + 20 - 4*c**2 + 11*c + 5*c.
-4*(c - 5)*(c + 1)
Let a = 186 - 1300/7. Let x(m) be the first derivative of -1/21*m**3 + 2 - a*m + 3/14*m**2. Factor x(l).
-(l - 2)*(l - 1)/7
Let l = 278 - 275. Let r(n) be the first derivative of 5/3*n**l + 0*n + 1 - 5/2*n**2. Factor r(j).
5*j*(j - 1)
Let l be (-1)/(-5) + (-98)/(-10). Suppose -14 - l = -a + 5*g, -a + 21 = -4*g. Let t**2 + 2*t**4 + t**4 - 3*t - a*t**3 + 9*t**2 - t**2 = 0. What is t?
0, 1
Let x = 3182 - 3180. Factor 0*j**x - 1/5*j**4 + 0 + 0*j + 2/5*j**3.
-j**3*(j - 2)/5
Let c(a) be the second derivative of -a**9/378 + a**8/140 - a**7/210 - 4*a**3 - 29*a. Let y(t) be the second derivative of c(t). Suppose y(l) = 0. What is l?
0, 1/2, 1
Let k(g) be the first derivative of 13*g**3 + 3*g - g**3 - 6*g**3 + 8 - 7*g**3. Factor k(o).
-3*(o - 1)*(o + 1)
Suppose -4/9*x**2 - 8/3*x + 0 + 4/9*x**3 = 0. Calculate x.
-2, 0, 3
Let 0 - 1/5*b**3 - b**2 - 6/5*b = 0. What is b?
-3, -2, 0
Factor 28*y**2 + 2*y**2 - 15 + 58*y - 11*y + 0*y + 38*y.
5*(y + 3)*(6*y - 1)
Let t = 63/5084 - 16732137/55924. Let w = -299 - t. Let 10/11*z**4 + 20/11*z**3 + 10/11*z + 20/11*z**2 + w*z**5 + 2/11 = 0. Calculate z.
-1
Let q(m) be the second derivative of m**5/36 + m**4/9 + m**3/54 - m**2/3 - 526*m. Factor q(g).
(g + 1)*(g + 2)*(5*g - 3)/9
Let r(w) be the first derivative of w**9/3024 + w**8/1680 - w**7/280 - w**6/360 + w**5/60 + 9*w**3 + 18. Let l(u) be the third derivative of r(u). Factor l(v).
v*(v - 1)**2*(v + 1)*(v + 2)
Suppose -87*x + 305 = -26*x. What is a in -2/11*a**x - 2/11*a**2 + 0*a + 0 - 6/11*a**4 - 6/11*a**3 = 0?
-1, 0
Let b(f) = -f**2 + f + 2. Let r(y) = 2*y**2 + 8*y - 12. Let s(h) = 4*b(h) + 4*r(h). Factor s(u).
4*(u - 1)*(u + 10)
Let o(y) = 1. Let m(a) = -28*a**3 - 34*a**2 - 2*a + 1. Let d(z) = -2*m(z) - 6*o(z). Suppose d(v) = 0. Calculate v.
-1, -1/2, 2/7
Let n(z) = -7*z**3 + 12*z**2 - 8*z + 4. Let u(w) = w**3 - w**2 + w - 1. Suppose -o - 2 = -3. Let h(r) = o*n(r) + 4*u(r). Factor h(p).
-p*(p - 2)*(3*p - 2)
Let l be (-6)/8 - (-1)/((-4)/(-19)). Let m be 6/l - 3*2/(-12). Let -21/2*d + 15/2*d**m + 3 = 0. What is d?
2/5, 1
Let y(m) be the second derivative of m**4/3 - 14*m**3 + 136*m**2 - 529*m. Solve y(d) = 0 for d.
4, 17
Let f = 39/31 - 1969/62. Let p = 31 + f. Suppose 1/2*h**2 - 1/2*h + 0 + 1/2*h**3 - p*h**4 = 0. What is h?
-1, 0, 1
Let k = -2/61647 - -5856493/863058. Let p = -44/7 + k. Let 0 - h + p*h**2 = 0. Calculate h.
0, 2
Let w be 74/35 - ((-23)/7 - -3). Factor w*i + 2/5*i**2 - 14/5.
2*(i - 1)*(i + 7)/5
Factor -3/5*z - 1/5*z**5 - 12/5*z**3 + 2*z**2 + 6/5*z**4 + 0.
-z*(z - 3)*(z - 1)**3/5
Suppose k = 65 - 63. Factor -10*p**k - 8*p**2 - 4 + 3*p**3 - 8 + 9*p + 18*p.
3*(p - 4)*(p - 1)**2
Let s(d) be the second derivative of 21*d + 1/4*d**3 - 9/16*d**2 - 1/32*d**4 + 0. Suppose s(u) = 0. Calculate u.
1, 3
Suppose 12*r**4 + 14*r**4 + 8*r**4 - 44*r**4 + 7*r**4 = 0. Calculate r.
0
Let t(k) be the first derivative of -k**3/8 - 3*k**2/16 + 15*k/2 - 160. Factor t(i).
-3*(i - 4)*(i + 5)/8
Let m(z) be the second derivative of -z**7/231 + 4*z**6/165 + 21*z**5/55 - 54*z**4/11 + 261*z**3/11 - 648*z**2/11 - 43*z. Factor m(r).
-2*(r - 3)**4*(r + 8)/11
Let h = 5931 - 5929. Let s be 0*((-1 - -1) + -1). Factor 0*m + s - 3/4*m**h.
-3*m**2/4
Let i(l) be the first derivative of -4*l**5/5 - 6*l**4 - 44*l**3/3 - 12*l**2 + 114. Find c, given that i(c) = 0.
-3, -2, -1, 0
Let n(f) be the first derivative of 0*f**2 + 0*f**3 - 4/25*f**5 + 2/5*f**6 + 0*f - 22 + 0*f**4. Factor n(h).
4*h**4*(3*h - 1)/5
Let j(f) = -3*f - 1. Let z(d) = 2*d**2 - 45*d - 29. Let l(t) = -18*j(t) + 2*z(t). Factor l(b).
4*(b - 10)*(b + 1)
Let z(v) = 33*v**3 + 64*v**2 - 121*v + 15. Let c(x) = 65*x**3 + 128*x**2 - 241*x + 27. Let l(f) = -3*c(f) + 7*z(f). Let l(s) = 0. Calculate s.
-3, 2/9, 1
Factor -3 - 1/2*j**3 - 11/2*j - 3*j**2.
-(j + 1)*(j + 2)*(j + 3)/2
Let l(o) = -2*o**3 - 23*o**2 - 27*o + 32. Let x be l(-10). Find c such that 2/3*c**x + 8/3*c + 2 = 0.
-3, -1
Let t be (8 - 2) + 832/(-144). Factor 0 - t*w**2 + 0*w.
-2*w**2/9
Suppose 19*f = 20*f - o - 9, -2*f - 10 = 5*o. Let x(a) be the second derivative of 0 - f*a - 1/2*a**4 - 3/20*a**5 + 1/2*a**3 + 3*a**2. Factor x(j).
-3*(j - 1)*(j + 1)*(j + 2)
Let f(g) be the first deriv