+ 0 + 1/20*m**4. Factor h(n).
3*(n - 2)*(n - 1)/5
Let v(p) be the third derivative of 0*p**3 - 1/144*p**8 + 1/120*p**6 + 0*p**5 + 0*p**4 + 0*p + 2/315*p**7 + 0 - 36*p**2. Determine c, given that v(c) = 0.
-3/7, 0, 1
Let k(g) = g + 20. Let u be k(-15). Suppose -3*v + v - 4*q = -16, 3*v + u*q - 21 = 0. Find w, given that -17*w + 13*w - 2 - 2*w**v + 8 = 0.
-3, 1
Let p(g) be the second derivative of -19*g**5 - 152*g**3 + 218/3*g**4 + 56*g - 1 - 2/21*g**7 + 12/5*g**6 + 176*g**2. Find q, given that p(q) = 0.
1, 2, 11
Factor -2/7*c**3 - 100*c**2 - 60544/7*c + 123904/7.
-2*(c - 2)*(c + 176)**2/7
Let b(n) = 5*n**2 - 537*n - 506. Let p(u) = 20*u**2 - 2140*u - 2025. Let z(m) = -15*b(m) + 4*p(m). Factor z(f).
5*(f - 102)*(f + 1)
Suppose 5 = 2*k - 1. Let x = -269 + 269. Factor u**3 + 2*u + 6*u + 12*u**2 + x*u**3 + k*u**3.
4*u*(u + 1)*(u + 2)
Let f(p) = -13*p**3 - 30*p**2 + 171*p - 315. Let u(y) = -3*y**3 - 7*y**2 + 43*y - 79. Let h(o) = -2*f(o) + 9*u(o). Solve h(j) = 0 for j.
-9, 3
Suppose 29*g = 21*g + 688. Suppose 37*v = -6*v + g. Factor 2/9*f - 8/9*f**4 + 2/9*f**5 + 0 + 4/3*f**3 - 8/9*f**v.
2*f*(f - 1)**4/9
Let r(c) be the first derivative of -c**6/120 - c**5/20 + 3*c**4/8 - 17*c**3 - 10. Let g(l) be the third derivative of r(l). Factor g(i).
-3*(i - 1)*(i + 3)
Let d(x) be the first derivative of -3*x**4/4 - 42*x**3 - 432*x**2 + 10368*x - 2609. Determine v so that d(v) = 0.
-24, 6
Let j(k) be the second derivative of k**5/120 - k**4/36 - 11*k**3/36 + k**2 - 937*k. Factor j(v).
(v - 4)*(v - 1)*(v + 3)/6
Let a(f) be the first derivative of -1/15*f**2 + 5 - 41*f + 2/45*f**3 - 1/90*f**4. Let m(n) be the first derivative of a(n). Factor m(g).
-2*(g - 1)**2/15
Suppose 0 = -3*h - m + 6, h + 322*m = 300*m + 132. Determine d so that -21/2*d**2 - 10*d + 1/2*d**4 + h*d**3 + 0 = 0.
-4, -1, 0, 5
Let r(g) be the third derivative of g**5/45 - 74*g**4 + 98568*g**3 + 20*g**2 + 22. Suppose r(h) = 0. What is h?
666
Let w be (90/25 - 1 - 2)*5. Let j(z) be the second derivative of 0 + w*z - z**4 + 0*z**2 + 1/2*z**3. Let j(u) = 0. Calculate u.
0, 1/4
Let f = -107 - -109. Solve 4*l**f + 24*l**2 - 4*l - 175 + 175 + 36*l**4 - 60*l**3 = 0.
0, 1/3, 1
Let j be (15 + (-11)/((-132)/(-144)))*(-7)/((-210)/24). Determine b, given that -j*b - 13/5 + 1/5*b**2 = 0.
-1, 13
Let a(b) = -25 - 15*b + 13*b + 1. Let f be a(-14). Determine v, given that -2*v**2 - 12*v**f + 0*v**2 + 6*v**2 + 8*v**2 - 9*v**3 + 9*v = 0.
-1, -3/4, 0, 1
Suppose -35 + 27 = -4*g. Let p(u) be the second derivative of -3/2*u**g + 0 + 5/4*u**4 + 7*u + 4/3*u**3 + 1/5*u**5. Solve p(c) = 0 for c.
-3, -1, 1/4
Let b(l) be the second derivative of l**6/180 - 7*l**4/36 + 2*l**3/3 + 7*l**2/2 + 2*l. Let f(h) be the first derivative of b(h). Solve f(x) = 0 for x.
-3, 1, 2
Let z(q) be the second derivative of -q**5/120 + 83*q**4/36 - 163*q**3/9 + 54*q**2 - 1805*q. Factor z(y).
-(y - 162)*(y - 2)**2/6
Let p = 2757275/4 + -689318. Factor 5/8*y + 1/4*y**2 - p - 1/8*y**3.
-(y - 3)*(y - 1)*(y + 2)/8
Let q = 1406 + -1408. Let s be (-13395)/(-1645) + (-9 - (0 + q)). Factor 1/7*t**2 - s*t + 12/7.
(t - 6)*(t - 2)/7
Let w(d) = d**3 + 14*d**2 + 140*d - 2352. Let c(q) = -3*q**3 - 27*q**2 - 280*q + 4704. Let x(n) = -2*c(n) - 5*w(n). Factor x(o).
(o - 14)**2*(o + 12)
Let q be ((-14)/(-28))/(13/117). Let c(j) be the first derivative of 16 - q*j**2 - j**3 + 12*j. Determine h so that c(h) = 0.
-4, 1
Let d = 759/370 - 188611/2590. Let o = d + 356/5. Factor -3/7*t**3 + 5/7*t**2 - 4/7 - 1/7*t**4 + o*t.
-(t - 1)**2*(t + 1)*(t + 4)/7
Factor 5*k**4 - 60*k - 180*k + 91419*k**2 + 70*k**3 - 91594*k**2.
5*k*(k - 3)*(k + 1)*(k + 16)
Let f(p) be the second derivative of 0 - 3/20*p**5 + 3/2*p**2 + 1/4*p**4 + 1/40*p**6 + 0*p**3 + 14*p. Let d(l) be the first derivative of f(l). Factor d(u).
3*u*(u - 2)*(u - 1)
Let l(h) be the third derivative of h**7/945 + h**6/4 - 68*h**5/135 + 67*h**2 + 4*h. Factor l(s).
2*s**2*(s - 1)*(s + 136)/9
Let w = 49/186 + 37699/930. Find l such that 99/5*l**2 + 12/5 + w*l = 0.
-2, -2/33
Let o = 11485 + -11485. Let v(z) be the second derivative of -1/3*z**4 + 0 + o*z**3 - 1/10*z**5 + 1/15*z**6 + 0*z**2 + 26*z. Find m, given that v(m) = 0.
-1, 0, 2
Let k(z) be the third derivative of -z**6/540 - 13*z**5/135 - 25*z**4/108 - 91*z**2 - 19*z. Suppose k(h) = 0. Calculate h.
-25, -1, 0
Let i = 268023 - 268023. Suppose -2/15*s**4 + 2/15*s**3 + 0*s + i + 8/3*s**2 = 0. Calculate s.
-4, 0, 5
Suppose -n - 983 = -3*f + 48, -2*n - 1027 = -3*f. Find o, given that -13 - f*o + 355*o**2 - 125*o**4 + 25*o**3 + 82 + 17 + 4 = 0.
-2, 3/5, 1
Determine r, given that -98/15*r + 2/15*r**2 + 0 = 0.
0, 49
Let t(z) be the third derivative of -z**5/30 + 337*z**4/12 - 3*z**2 - 18. Determine b, given that t(b) = 0.
0, 337
Factor -4/3*q**3 - 4/3*q**4 + 8*q**2 + 0 + 0*q.
-4*q**2*(q - 2)*(q + 3)/3
Suppose 0 = -a + 3*a - 4*w + 12, 5*a - w - 6 = 0. Let -11123 + 11123 + 40*u**a + 5*u**3 + 60*u = 0. What is u?
-6, -2, 0
Suppose 71 = 2*k - 3*f, -4*k - 8*f + 12*f = -100. Find a, given that 0*a**2 + 11/3*a**3 + 3*a**k + 2/3*a**5 + 0 - 4/3*a = 0.
-2, -1, 0, 1/2
Suppose -m + 15 = -0*m. Suppose 10*w = m + 35. Let -9*j**2 - 2*j**2 - 17*j + 15*j**2 + w*j = 0. Calculate j.
0, 3
Let p be (-126)/(-4) - (42/12 + -4). Suppose p*s - 29*s - 12 = 0. Factor -36 + 81 - 5*g**s - 10*g + 10*g**3 - 40.
-5*(g - 1)**3*(g + 1)
Suppose 30 = 5*m + 2*z, -4 = 4*m + 58*z - 62*z. Solve 0 + 12/13*p**2 + 8/13*p**m + 0*p + 22/13*p**3 - 2/13*p**5 = 0 for p.
-1, 0, 6
Suppose 6*a**4 - 18 + 6*a**3 + 3258430*a**2 + a**5 - 28*a - 3258450*a**2 - 11*a = 0. What is a?
-3, -1, 2
Let s(q) be the first derivative of 1/120*q**6 + 0*q**3 + 0*q**2 + 41 - 21*q + 0*q**4 + 1/80*q**5. Let b(p) be the first derivative of s(p). Factor b(r).
r**3*(r + 1)/4
Let x(u) be the second derivative of u + 108/7*u**2 + 144/7*u**3 - 169/70*u**5 + 117/14*u**4 - 22. Factor x(f).
-2*(f - 3)*(13*f + 6)**2/7
Let k(y) be the second derivative of 2*y**7/21 - 3*y**5/5 - 2*y**4/3 + 6766*y. Determine s so that k(s) = 0.
-1, 0, 2
Let z(v) be the second derivative of -16*v**5/5 - 808*v**4 + 810*v**3 - 304*v**2 - 6909*v. Factor z(g).
-4*(g + 152)*(4*g - 1)**2
Let b(r) be the second derivative of -84*r + 0*r**2 - 1/12*r**4 + 0 + 10/3*r**3. Determine d, given that b(d) = 0.
0, 20
Let g(f) be the second derivative of -2*f**7/21 - 6*f**6/5 - 3*f**5 - 7*f**4/3 + 73*f - 1. Factor g(a).
-4*a**2*(a + 1)**2*(a + 7)
Let j(x) be the third derivative of -x**5/12 + 1395*x**4/8 - 4175*x**3/3 - 5091*x**2. What is b in j(b) = 0?
2, 835
Let y be 420/112 + 7/(-2). Factor 0 - 5/4*w - y*w**2.
-w*(w + 5)/4
Let h(m) be the first derivative of 0*m**2 - 14 + 9/5*m - 1/15*m**3. Suppose h(l) = 0. What is l?
-3, 3
Let m be (352/1056)/(0 - (-1)/15). Let i be (-30)/9*m/10*-1. Let 0 + 5/6*a**2 + i*a = 0. Calculate a.
-2, 0
Let a(q) be the first derivative of q**4/4 + 43*q**3/3 - 92*q**2 + 188*q - 8840. Factor a(v).
(v - 2)**2*(v + 47)
Let o be (0 + 14)/(280/30 + -9). Let p be (-245)/o + 6 + 68/24. Find y such that -2/13*y**2 - 2/13*y**p + 0*y + 2/13*y**5 + 2/13*y**4 + 0 = 0.
-1, 0, 1
Let f be (-2)/(-5) + 3328/130. Suppose -f - 5*a**2 + a**2 + 499*a + 138 - 511*a = 0. What is a?
-7, 4
Let u be 176/(-16)*(-2 - -1). Suppose -5 = -5*p - 3*q, -10*q + u*q - 11 = -4*p. Determine k so that -1/7*k**3 + 0 - 1/7*k**p + 0*k**2 + 0*k = 0.
-1, 0
Let a(q) be the first derivative of q**6/45 + q**5/30 + 4*q + 2. Let c(z) be the first derivative of a(z). Let c(r) = 0. What is r?
-1, 0
Let d(y) = -17*y**2 - 14*y + 16. Let l(i) = 8*i**2 + 6*i - 8. Suppose 18*u - 118 = -10. Let n(z) = u*d(z) + 13*l(z). Suppose n(a) = 0. Calculate a.
-1, 4
Let l(q) be the first derivative of -q**3/8 + 855*q**2/4 + 1787. Factor l(u).
-3*u*(u - 1140)/8
Solve 1000*a**2 + 988*a**2 + 2*a**3 + 970*a**2 - 2924*a**2 = 0.
-17, 0
Let p be ((-9)/(-9))/((-3)/(-6)). Suppose -4*s = 5*g + 10, -p*g = 5*s + 20 + 1. Determine x so that 3/2 - 9/4*x**g + 3/2*x**3 - 9/4*x = 0.
-1, 1/2, 2
Suppose 3*i = -9*i + 3084. Determine p, given that 9*p**4 - 78*p**3 - 7*p**5 - i*p**3 - 44*p - 88*p**4 + 68*p**3 - 6*p - 245*p**2 = 0.
-5, -1, -2/7, 0
Let b = -321973 - -321975. Let 17*x**b + 625/3 - 225*x - 1/3*x**3 = 0. Calculate x.
1, 25
Let c(d) be the second derivative of -d**6/60 - d**5/15 + d**4/12 + 2*d**3/3 + 34*d**2 + 63*d. Let o(s) be the first