
1, 2604
Let p = 1032 - 1712. Let k = p + 683. Factor -18/7*t**2 - 1/7*t**4 + t**k + 20/7*t - 8/7.
-(t - 2)**3*(t - 1)/7
Factor 0 - 37*q**2 - 4/3*q.
-q*(111*q + 4)/3
Factor 2/9*z**3 - 100/9*z**2 + 0 - 106/3*z.
2*z*(z - 53)*(z + 3)/9
Solve -63*l**4 - 1392/5*l**3 - 36/5 - 444/5*l - 297*l**2 = 0.
-3, -1, -2/7, -2/15
Let v be ((-22)/99)/2 + (-3)/(-27). Let l(f) be the third derivative of v*f + 0 + 1/24*f**4 + 1/3*f**3 - 1/120*f**6 + 14*f**2 - 1/30*f**5. Factor l(h).
-(h - 1)*(h + 1)*(h + 2)
Factor -1/7*o**2 + 94/7 - 45/7*o.
-(o - 2)*(o + 47)/7
Let t(y) = 669*y + 2679. Let b be t(-4). Let h(c) be the third derivative of -1/12*c**4 + 0 + 0*c**b - 8*c**2 + 0*c + 1/30*c**5. Factor h(u).
2*u*(u - 1)
Let j be ((-6 + 6)/(2 - 1))/(23 + -20). Let o(w) be the third derivative of 19*w**2 - 1/16*w**4 + j + 1/32*w**5 + 0*w + 3/320*w**6 - 1/4*w**3. Factor o(g).
3*(g - 1)*(g + 2)*(3*g + 2)/8
Let h be 45/8*(-113 + 119). Let m(v) be the first derivative of -15*v**5 + 6 - h*v**4 + 0*v - 24*v**3 - 6*v**2. Factor m(t).
-3*t*(t + 1)*(5*t + 2)**2
Let u(l) be the second derivative of l**4/24 - 305*l**3/3 - 1221*l**2/4 + 6067*l. Factor u(i).
(i - 1221)*(i + 1)/2
Let r(z) be the third derivative of -z**5/510 + 181*z**4/102 + 121*z**3/17 - 763*z**2. Factor r(j).
-2*(j - 363)*(j + 1)/17
Let g(m) = 10*m**3 - 170*m**2 + 707*m - 709. Let z(c) = 6*c**3 - 170*c**2 + 706*c - 710. Let u(y) = 4*g(y) - 6*z(y). Let u(i) = 0. Calculate i.
-89, 2
Let h = -103690/153 + 11540/17. Solve -14/9*c - h*c**2 - 2/3 - 2/9*c**3 = 0 for c.
-3, -1
Find j such that -1304 + 144 + 3*j**2 - 494 - 225*j - 1295 - 1101 = 0.
-15, 90
Let k = 24814/7 - 146945/42. Suppose 1/6*z**4 - 130*z + k*z**2 + 338/3 - 5*z**3 = 0. Calculate z.
2, 13
Let q be (-8)/(((-78)/(-12) + -9)/(1/2)). Find p such that -p**2 - q*p - 1/5*p**3 - 4/5 = 0.
-2, -1
Let v(q) be the second derivative of q**6/480 + q**5/48 + q**4/24 - 21*q**2/2 - q - 126. Let z(b) be the first derivative of v(b). Factor z(k).
k*(k + 1)*(k + 4)/4
Let p(l) = -15*l - 56. Let g be p(-5). Suppose -22*a**2 - g*a + 23*a + 10*a**4 - 8*a - 8*a**3 = 0. Calculate a.
-1, -1/5, 0, 2
Let l(q) be the first derivative of -q**6/6 + 11*q**5/15 + 47*q**4/6 - 58*q**3/3 + 37*q**2/6 + 35*q/3 - 5733. Determine v, given that l(v) = 0.
-5, -1/3, 1, 7
Let d be 10*495/550 + (-3598)/400. Let q(f) be the third derivative of 0*f**3 + 32*f**2 - 3/100*f**5 + 0 + 0*f + 0*f**4 - d*f**6. Solve q(u) = 0.
-3, 0
Let j(a) = 2*a**3 - 20*a**2 - 107*a + 1072. Let s be j(10). Suppose 2 - 2/7*l**s - 12/7*l = 0. What is l?
-7, 1
Let i(g) be the first derivative of 28/5*g**5 - 32*g**2 + 100/3*g**3 + 7 - 19*g**4 - 2/3*g**6 + 16*g. Determine n so that i(n) = 0.
1, 2
Let a(h) be the first derivative of 104/3*h - 16*h**2 + 48 + 1/6*h**4 + 2*h**3. Let a(j) = 0. What is j?
-13, 2
Suppose 15*r - 32 = 28. Solve 4*n**3 + 11*n - 14*n + 24*n**2 - 4*n**r + 3*n = 0.
-2, 0, 3
Let u(d) be the second derivative of 1/4*d**5 - 25/12*d**4 + 25/2*d**2 + 77*d - 5/6*d**3 + 1. Solve u(h) = 0.
-1, 1, 5
Suppose 0*f = -4*f + 2*o + 62, 4*o - 2 = -f. Suppose 0 = 2*w - w + 4*m + f, 3*w = 4*m + 22. Factor 385*y - 4*y**w - 385*y.
-4*y**2
Let c(o) be the second derivative of -10/3*o**3 + 0 - 1/12*o**4 - 50*o**2 + 7*o. Factor c(d).
-(d + 10)**2
Let a(p) be the third derivative of p**6/24 - 13*p**5/12 + 65*p**4/12 + 280*p**3/3 - 2*p**2 + 2*p - 9. Factor a(d).
5*(d - 8)*(d - 7)*(d + 2)
Let 1/5*d**3 + 96/5*d + 27/5*d**2 - 256 = 0. Calculate d.
-16, 5
Factor 4/5*u**2 + 280*u + 24500.
4*(u + 175)**2/5
Let b = 1607 + -1601. Let y(j) be the second derivative of 31/30*j**4 - 4/5*j**2 + 1/15*j**7 + 53/50*j**5 + 0*j**3 + 0 - 20*j + 11/25*j**b. Solve y(o) = 0.
-2, -1, 2/7
Let o(w) be the second derivative of w**6/105 - w**5 + 34*w**4/21 + 10*w**3/3 - 69*w**2/7 - 109*w. Determine x, given that o(x) = 0.
-1, 1, 69
Let c be (20/(-288)*6)/(3/(-8)). Let u(f) be the first derivative of 8/3*f - 1/2*f**4 + f**2 - c*f**3 - 33 + 2/15*f**5. Solve u(t) = 0.
-1, 1, 4
Factor -4*o + 1 + 4*o**3 - 44*o - o + 13*o + 12*o**2 + 19.
4*(o - 1)**2*(o + 5)
Let w(t) be the second derivative of -t**6/72 + 7*t**5/24 - 5*t**4/4 + 83*t**3/3 - 125*t. Let l(j) be the second derivative of w(j). Factor l(i).
-5*(i - 6)*(i - 1)
Let o(t) be the first derivative of 1/8*t**4 - 28 + 3/8*t**3 + 18*t + 1/80*t**5 + 0*t**2. Let p(h) be the first derivative of o(h). Factor p(z).
z*(z + 3)**2/4
Suppose 87*j**2 - j**4 + 64*j - 19*j**2 - 64*j - 32*j**3 = 0. What is j?
-34, 0, 2
Let i(g) = -g**3 + 3. Let d be i(0). Let b be -84*68/(-14994)*3/4. Suppose -4/7*p**2 + b*p**4 + 2/7 + 0*p**d + 0*p = 0. What is p?
-1, 1
Let p be (216/756)/(16/42). Let u(x) be the first derivative of 1/12*x**3 + 4 + 9/4*x - p*x**2. Factor u(d).
(d - 3)**2/4
Let u(c) be the third derivative of 27*c**6/20 + 57*c**5/20 + c**4 - 8*c**2 + 105. Factor u(x).
3*x*(6*x + 1)*(9*x + 8)
Let x(l) be the second derivative of 0 + 1/12*l**4 + 0*l**3 + 26*l + 0*l**2. Factor x(c).
c**2
Let a = -566 - -631. Factor -30 + 7 + a*d**3 - 7 - 36*d**2 - 62*d**3 + 63*d.
3*(d - 10)*(d - 1)**2
Let m = 297 + -271. Determine q so that 2*q**5 - 70*q - 98 - 28*q**3 - 13*q**2 - m*q**4 + 96*q**3 + 137*q**2 = 0.
-1, 1, 7
Suppose 0 = 2*q - p - 16, 3*q + 3*p - 26 = 5*p. Let v(r) be the first derivative of -4/5*r**5 + q*r**3 + 2*r + 2*r**4 - 1/2*r**6 + 11/2*r**2 - 8. Factor v(y).
-(y - 2)*(y + 1)**3*(3*y + 1)
Let g = -3/958 + 2413/5748. Let m(c) be the second derivative of -5/4*c**2 + 0 + 5/12*c**4 + 9*c + g*c**3. Suppose m(o) = 0. What is o?
-1, 1/2
Let a(l) be the third derivative of l**6/600 - 31*l**5/60 - 79*l**4/60 + 52*l**3/5 + 5*l**2 + 31*l. Solve a(f) = 0 for f.
-2, 1, 156
Let r(p) be the first derivative of 64*p**2 + 45/2*p**5 + 280 + 572/3*p**3 + 8*p + 120*p**4. Factor r(g).
(g + 2)**2*(15*g + 2)**2/2
Let b be ((-10)/(-30))/(2/12 - 0). Factor -4*x**3 - 7*x**2 - 20*x**2 + 20*x + 24 + 19*x**b.
-4*(x - 2)*(x + 1)*(x + 3)
Let w be (-19 + -1)*((-30)/12 - -2). Let -37*o**2 - 30*o + 25 + 40*o**3 - 5*o**4 + 17*o**2 - w*o**3 = 0. Calculate o.
-1, 1, 5
Let t(b) = b**2 + 6*b - 7. Let v be t(-8). Suppose -5*g = 4*m - 20, 0 = -m + 4*g + g - 20. Factor 9*a**2 + a - 20*a**2 + v*a**2 + m*a**3 - a**3 + 2.
-(a - 1)*(a + 1)*(a + 2)
Let j(m) be the third derivative of m**6/180 - 7*m**5/30 + 11*m**4/4 + 121*m**3/9 + 84*m**2 + 13. Factor j(l).
2*(l - 11)**2*(l + 1)/3
Let 473344/5*u + 1/5*u**3 + 1376/5*u**2 + 0 = 0. What is u?
-688, 0
Let j be (((-15)/3)/5)/(3*7/(-273)). Let k(g) be the second derivative of -j*g - 5/12*g**2 + 1/6*g**3 - 1/72*g**4 + 0. Factor k(s).
-(s - 5)*(s - 1)/6
Let i be 8880/(-259) + 32 - 216/(-84). Factor 20/7*f**2 + 0 - 16/7*f - i*f**3 - 2/7*f**4.
-2*f*(f - 2)*(f - 1)*(f + 4)/7
Let a(h) be the third derivative of -1 + 0*h + 2*h**4 - 10*h**2 + 1/150*h**6 + 48/5*h**3 + 14/75*h**5. Suppose a(b) = 0. What is b?
-6, -2
Let m(w) be the third derivative of w**5/30 - 70*w**4/3 + 19600*w**3/3 - 646*w**2. Let m(u) = 0. What is u?
140
Let -20*n**3 + 6*n**4 + 84*n**3 - 116*n**2 - 4*n**4 - 725*n + 793*n - 18*n**2 = 0. What is n?
-34, 0, 1
Suppose 2*g = 5*b - 2, -4*b + 5 = -g + 4. Let j be g*((-36)/3 - 2). Solve 28*r**4 - j*r**5 + 4*r - 8*r**2 - 16*r**3 - 4*r + 10*r**4 = 0 for r.
-2/7, 0, 1, 2
Let c be ((-9)/12)/(-3*(-6)/(-72)). Factor -91 - 21*z**c + 47*z**3 - 53 + 448*z + 308*z**2 + 440*z.
2*(z + 6)**2*(13*z - 2)
Let p(l) be the second derivative of -1/42*l**4 + 25/21*l**3 + 0 + 25*l + 0*l**2. Suppose p(s) = 0. What is s?
0, 25
Let w(j) be the first derivative of -2*j**3/3 - 46*j**2/5 - 18*j/5 - 8108. Find i, given that w(i) = 0.
-9, -1/5
Suppose 32 = -a + 5*t, 0 = -27*a + 24*a - 2*t + 23. Let i(m) be the second derivative of -15*m**2 + 0 + 5/12*m**4 + 5/6*m**a - 10*m. What is d in i(d) = 0?
-3, 2
Suppose 2*x + 0*x + 8 = 4*h, -2*x = h - 12. Suppose -3*i - 3 = -x*i. Factor 3*m**i - 4*m + 3*m**4 + 10*m - 6*m.
3*m**3*(m + 1)
Let z be 11 + -13 - (-5 - -1)*3. Determine o, given that 16*o + z*o**2 + 25*o**3 - 10*o**3 - 13*o**3 + 1 + 7 = 0.
-2, -1
Let c be -6*(1974/(-108))/47. Let q(h) be the first derivative of -2/15*h**5 + 3 + 5/6*h**4 - 4/3*h + c*h**2 - 2*h**3. Find z, given that q(z) = 0.
1, 2
Let k = -442 - -446. Factor -4*h**5 - 73*h**3 + 40*h**2 - 12*h**3 + 50*h**k - h**5 + h - h.
-5*h**2*(h - 8)*(h - 1)**2
Let t = 143 + -138. Let s be ((-1267)/(-252)