Solve q(s) = 0.
-3, 2
Suppose -18*u + 86 = 14. Let t(z) be the first derivative of 16/9*z**3 + 0*z + 0*z**2 + 0*z**u - 2/9*z**6 + 17 - 4/5*z**5. Factor t(g).
-4*g**2*(g - 1)*(g + 2)**2/3
Let v(a) be the first derivative of -a**4/6 - 4*a**3/3 - 3*a**2 + 118*a + 124. Let w(d) be the first derivative of v(d). Factor w(p).
-2*(p + 1)*(p + 3)
Suppose 2*j = d + 11 + 66, -2*d - 10 = 0. Factor 4*m**2 + j*m + m**2 - 16*m.
5*m*(m + 4)
Let o(n) be the third derivative of 1/20*n**4 + 18*n**2 + 0*n + 0*n**7 + 1/840*n**8 - 1/75*n**6 + 1/75*n**5 - 2/15*n**3 - 2. Let o(j) = 0. Calculate j.
-2, -1, 1
Let u(g) be the third derivative of 4*g + 0*g**3 + 0 - 8/27*g**4 - 13*g**2 - 2/945*g**7 + 0*g**6 + 4/45*g**5. Solve u(n) = 0 for n.
-4, 0, 2
Factor 56*i + 3367*i**2 - 3972*i**2 + 224*i - 125 + 270*i.
-5*(11*i - 5)**2
Let -5*c**4 + 0*c**4 - 43*c**3 + 3*c**4 - 23*c + 51*c**3 + 22*c**2 - 37*c = 0. What is c?
-3, 0, 2, 5
Let -2/11*f**3 + 306/11*f + 234/11 + 70/11*f**2 = 0. Calculate f.
-3, -1, 39
Let s(b) be the second derivative of b**6/3 - 3*b**5/10 - b**4/12 + 39*b. Let j(a) = -9*a**4 + 7*a**3. Let p(d) = -3*j(d) - 2*s(d). Factor p(o).
o**2*(o - 1)*(7*o - 2)
Let j(h) = 12*h**2 - 64*h + 67. Let x be j(1). Let c(g) be the first derivative of -1/2*g**4 + 18 + 14*g + 6*g**3 - x*g**2. Factor c(q).
-2*(q - 7)*(q - 1)**2
Suppose 1 = 4*g - 19. Suppose 10 = g*c - 5. Suppose 11*f + 0 - 29*f + 8 - 2*f**2 + 10*f + 2*f**c = 0. What is f?
-2, 1, 2
Let c = -199 - -204. Suppose 0 = -g - 4*w + 11, 11*g - 12*g - c*w + 13 = 0. Suppose -1/3*q**5 + 0 - 1/3*q**4 - 2/3*q + q**g + 1/3*q**2 = 0. Calculate q.
-2, -1, 0, 1
Let g = -128 + 130. Factor 4*x + 5748 + 2*x**g + 107*x - 30*x + 119*x - 748.
2*(x + 50)**2
Let r = -171 + 173. Factor 18*u**4 - 3*u + 0*u**3 + 50*u**r + 2 + 48*u**3 + 22*u + 3*u**3.
(u + 1)**2*(3*u + 2)*(6*u + 1)
Let p(w) be the second derivative of w**5/4 + 1045*w**4/6 + 110240*w**3/3 + 216320*w**2 + 44*w + 2. Factor p(m).
5*(m + 2)*(m + 208)**2
Suppose -1391*t + 4 = -1393*t - a, 19*a + 160 = 4*t. Factor -4/5 - 3/5*s - 1/10*s**t.
-(s + 2)*(s + 4)/10
Solve 1450*i**2 - 139*i**5 - 100*i**4 - 1981 - 185*i**5 + 329*i**5 + 631 + 100*i**3 - 105*i = 0.
-3, -1, 1, 5, 18
Let y(b) = b**2 + 25*b + 24. Let x be y(-24). Find f, given that -f**2 + x*f**2 - 33*f + 29*f = 0.
-4, 0
Let u(z) be the first derivative of 2*z**3/5 - 49*z**2 + 1517. Find f such that u(f) = 0.
0, 245/3
Let t(b) be the third derivative of b**5/36 + 815*b**4/72 - 410*b**3/9 + 15*b**2. Factor t(c).
5*(c - 1)*(c + 164)/3
Let a(f) = -16*f**4 + 8755*f**3 + 4387*f**2 + 22*f. Let s(v) = -8*v**4 + 4378*v**3 + 2194*v**2 + 12*v. Let g(j) = -6*a(j) + 11*s(j). Factor g(d).
4*d**2*(d - 547)*(2*d + 1)
Let b(n) be the third derivative of n**8/151200 - n**7/18900 - n**6/1800 + 5*n**5/3 - 276*n**2. Let r(s) be the third derivative of b(s). Factor r(a).
2*(a - 3)*(a + 1)/15
Determine n so that 567*n**4 - 7255*n**3 + 858*n**4 - 1710*n + 8975*n**2 - 1400 + 1176*n**5 - 609*n**5 - 602*n**5 = 0.
-2/7, 1, 4, 35
Let f(c) be the first derivative of 2*c**5/65 + 11*c**4/26 + 76*c**3/39 + 4*c**2 + 48*c/13 - 4202. What is m in f(m) = 0?
-6, -2, -1
Find y, given that 20*y**4 + 104*y**3 + 36 - 184*y**2 + 402*y + 189*y**5 - 366*y - 201*y**5 = 0.
-3, -1/3, 1, 3
Let r(a) be the first derivative of 82369*a**4/26 - 438536*a**3/13 - 9180*a**2/13 - 64*a/13 + 328. Factor r(n).
2*(n - 8)*(287*n + 2)**2/13
Factor 256/21*p - 254/21 - 2/21*p**2.
-2*(p - 127)*(p - 1)/21
Let c(o) be the third derivative of o**5/30 - 109*o**4/4 - 953*o**2 + o. Suppose c(y) = 0. What is y?
0, 327
Let t(r) be the third derivative of -r**5/60 + 5*r**4/24 + 2*r**3/3 + 16*r**2. Let j be t(5). Factor -6*y**2 + 3*y**2 + j*y + 3*y**2 + 4*y**2 - 8.
4*(y - 1)*(y + 2)
Let j(p) = -4*p**5 - 38*p**4 + 64*p**3 - 40*p**2. Let f(w) = 4*w**5 + 36*w**4 - 68*w**3 + 40*w**2. Let d(u) = 3*f(u) + 2*j(u). Solve d(r) = 0 for r.
-10, 0, 1
Let h(y) be the second derivative of 5*y**6/24 + 13*y**5/12 - 5*y**4/4 + 95*y**2/2 + 41*y. Let l(w) be the first derivative of h(w). Let l(v) = 0. Calculate v.
-3, 0, 2/5
Factor 256*p**2 - 260*p**2 + 409 + 88 - 572*p + 79.
-4*(p - 1)*(p + 144)
Let j(k) be the second derivative of k**7/189 + 38*k**6/135 - 41*k**5/30 + 2*k**4/27 + 164*k**3/27 - 1228*k. Find t such that j(t) = 0.
-41, -1, 0, 2
Suppose 1197*j - 2129*j - 2236*j + 1264 + 709*j**3 + 2273*j**2 - 721*j**3 - 357*j**2 = 0. Calculate j.
2/3, 1, 158
Let x(u) be the first derivative of -42 + 0*u**2 + 0*u - 3/4*u**4 + 8/7*u**3 - 3/35*u**5. Find v, given that x(v) = 0.
-8, 0, 1
Let o be (-63)/28*24/(-63). Let a = 108/77 - o. Let 0 + 10/11*b**3 - 14/11*b**2 - 2/11*b**4 + a*b = 0. What is b?
0, 1, 3
Let c(r) be the first derivative of -5*r**3/3 - 5*r**2/2 + 660*r + 2729. Factor c(h).
-5*(h - 11)*(h + 12)
Let u(w) be the third derivative of -w**8/560 - 57*w**7/350 + 73*w**6/40 - 807*w**5/100 + 94*w**4/5 - 126*w**3/5 + 4*w**2 - 1836*w. Solve u(n) = 0 for n.
-63, 1, 2
Let b(a) be the third derivative of 7/180*a**6 + 1/18*a**4 - 2*a - 18*a**2 + 1/10*a**5 + 0 + 0*a**3. Solve b(u) = 0 for u.
-1, -2/7, 0
Let q be (10/225*(-270)/(-36))/(2/34). Factor -20/3 + 1/3*a**4 - 59/3*a - q*a**3 - 19*a**2.
(a - 20)*(a + 1)**3/3
Factor -633*j - 2003445/2 - 1/10*j**2.
-(j + 3165)**2/10
Solve -16/3*m**3 - 106/9*m**2 + 2/9*m**4 + 16/3*m + 104/9 = 0 for m.
-2, -1, 1, 26
Suppose -6*r**3 - 39*r - 35616 - 3*r**4 - 207*r + 111*r**2 + 35760 = 0. Calculate r.
-8, 1, 2, 3
Let y be -26 + 3 - -9 - (-5 + 3) - -15. Factor 0 - 8/9*m - 2/3*m**2 + 2/9*m**y.
2*m*(m - 4)*(m + 1)/9
Let c(d) be the second derivative of -1/10*d**6 - 3/2*d**4 - 3/4*d**5 + 22 + 0*d**3 + 0*d**2 + d. Let c(f) = 0. Calculate f.
-3, -2, 0
Let p(h) be the third derivative of 0 + 0*h**3 - 1/3*h**4 + 1/30*h**5 + 0*h + 13*h**2. Let p(d) = 0. Calculate d.
0, 4
Let k(d) be the first derivative of -d**4/16 + 9*d**3/8 - 27*d**2/4 - 42*d + 89. Let i(o) be the first derivative of k(o). Factor i(t).
-3*(t - 6)*(t - 3)/4
Let j(w) be the second derivative of -17*w**7/189 + 25*w**6/27 - 331*w**5/90 + 391*w**4/54 - 68*w**3/9 + 4*w**2 + 3*w - 404. Suppose j(v) = 0. Calculate v.
6/17, 1, 2, 3
Let h(w) be the second derivative of -w**4/6 - 26*w**3/3 - 48*w**2 - 5097*w. Factor h(c).
-2*(c + 2)*(c + 24)
Let d = 19516 + -78063/4. Suppose -d*r**2 + 0 - 9/4*r = 0. What is r?
-9, 0
Let z(y) be the second derivative of -841*y**7/189 + 87*y**6/5 - 67*y**5/3 + 173*y**4/27 + 49*y**3/9 + y**2 + 1104*y. Let z(j) = 0. Calculate j.
-3/29, 1
Let g be 4 + -10 + 30/3. Factor -10*m**4 + 3*m**2 + 19*m**g - m**2 + 5*m**3 + m**5 - 5*m**4.
m**2*(m + 1)**2*(m + 2)
Suppose -4*h = -40, 3368*r + 5*h - 38 = 3371*r. Factor -24/5*d + 4/5*d**r + 32/5*d**2 - 36/5 + 24/5*d**3.
4*(d - 1)*(d + 1)*(d + 3)**2/5
Suppose 4*p = 4*w, -5*p - 6*w = -w. Suppose p = 4*k - 11 - 1. Factor -9*q - 6 - 7*q**3 - 10*q**2 + q**k - 5*q + 4*q**3.
-2*(q + 1)**2*(q + 3)
Let l(r) be the second derivative of -r**5/150 - 11*r**4/30 - 46*r**3/9 - 1897*r + 2. Factor l(o).
-2*o*(o + 10)*(o + 23)/15
Suppose 8*p + 0*p - 24 = 0. Find y such that 6*y**3 + y**5 - p*y**5 + 4*y**4 - 8*y**4 = 0.
-3, 0, 1
Factor 1/4*v**3 - 226*v**2 - 203401/2 + 205205/4*v.
(v - 451)**2*(v - 2)/4
Let x(h) be the third derivative of -h**6/720 + h**5/8 + 31*h**4/48 + 47*h**3/36 + 2*h**2 - 812*h. Factor x(b).
-(b - 47)*(b + 1)**2/6
Factor -952/3 - 36*l + 4/3*l**2.
4*(l - 34)*(l + 7)/3
Let y = -635 + 227. Let w be (-221)/y - 5/(-40). Suppose -8*m + 2/3*m**4 - 16/3*m**2 + 0 + w*m**3 = 0. Calculate m.
-2, 0, 3
Let o(q) be the second derivative of -q**5/40 - 45*q**4/4 + 181*q**3/4 - 68*q**2 + 792*q. Solve o(a) = 0.
-272, 1
Suppose 502/15*n + 0 - 2/15*n**2 = 0. Calculate n.
0, 251
Let b = 740 + -7387/10. Let a(q) be the first derivative of b*q**2 + 2 + 4/5*q + 1/5*q**3. Factor a(z).
(z + 4)*(3*z + 1)/5
Let r = 66 - 21. Factor 2 - 35*t**2 + 55*t**3 - 1744*t + r*t**4 + 1689*t - 12.
5*(t - 1)*(t + 1)**2*(9*t + 2)
Let t(c) = -c**2 - 10*c + 147. Let x be t(-18). Find h such that -90 + 24*h + x*h**4 + 42 + 13*h**3 - 37*h**3 + 45*h**2 = 0.
-1, 1, 4
Let q(o) be the second derivative of -3*o**5/100 + 341*o**4/20 + 2510*o. Solve q(w) = 0 for w.
0, 341
Let h(z) be the third derivative of 169*z**7/6300 - 13*z**6/50 + 27*z**5/25 + 17*z**4/24 + 114*z**2. Let v(l) be the second derivative of h(l). Factor v