 + 20*h + 86*h**2.
-(h - 32)*(h + 7)
Suppose 0 = -3*u - u + 24. Suppose -4*z + u + 14 = 0. Factor 0*j**2 - j**3 + 16*j**3 - 10*j**2 - z*j**4.
-5*j**2*(j - 2)*(j - 1)
Let l(v) be the first derivative of v**3/9 - 275*v**2/3 - 551*v/3 - 2067. Let l(q) = 0. Calculate q.
-1, 551
Let f(l) be the second derivative of -1/4*l**5 + 5/6*l**3 - 16*l - 35*l**2 + 2 + 35/6*l**4. Suppose f(m) = 0. Calculate m.
-1, 1, 14
Let z(f) = -f**3 + 23*f**2 + 2. Let h be z(23). Find d, given that 24*d**h + 0*d**3 - d**3 - 6*d**4 - 14*d - 2*d + 86*d**5 - 87*d**5 = 0.
-4, 0, 1
Let b(k) = -3*k**5 - 32*k**4 + 38*k**3 + 36*k**2 - 55*k - 4. Let z(n) = -n**4 + n**3 + 4*n + 1. Let a(h) = -b(h) - 4*z(h). Determine s so that a(s) = 0.
-13, -1, 0, 1
Let d(u) be the third derivative of -u**8/1176 - u**7/245 - u**6/420 + u**5/70 + u**4/42 - 3*u**2 + 113*u. Find r, given that d(r) = 0.
-2, -1, 0, 1
Factor -88*v + 85*v**2 - 7 - 121 - 160 - 89*v**2.
-4*(v + 4)*(v + 18)
Let u(n) = -894*n - 2679. Let w be u(-3). Solve -3/7*a**w + 12/7 - 20/7*a**2 - 29/7*a = 0.
-4, -3, 1/3
Let z(q) be the second derivative of 41/40*q**6 - 1/8*q**4 + 0*q**3 + 0*q**2 - 8 + 3*q - 117/80*q**5. Solve z(l) = 0.
-2/41, 0, 1
Let y(u) be the third derivative of -u**6/540 - u**5/6 + 31*u**4/36 - 109*u**3/6 - 29*u**2. Let z(f) be the first derivative of y(f). Find j such that z(j) = 0.
-31, 1
Factor 0 + 107/8*f**2 - 5/8*f**3 - 21/4*f.
-f*(f - 21)*(5*f - 2)/8
Let z = -639 - -633. Let x be 104/78*z/(-9). Factor -4/9 - 4/9*c**4 + x*c**2 + 0*c**3 + 0*c.
-4*(c - 1)**2*(c + 1)**2/9
Let y(n) be the second derivative of -3/20*n**5 - 3*n**2 + 0 - 5*n + 1/2*n**3 + 3/4*n**4 - 1/10*n**6. Find o, given that y(o) = 0.
-2, -1, 1
Let r = -2050 + 3325. Let a be (-16)/168 + (r/(-504) - -3). Factor -3/2*b**2 - a*b**3 + 0 - 3/2*b.
-3*b*(b + 2)**2/8
Let b(i) be the first derivative of 6*i**5/55 - 12*i**4/11 + 26*i**3/11 - 18*i**2/11 - 2379. Factor b(o).
6*o*(o - 6)*(o - 1)**2/11
Let t(r) be the second derivative of -r**5/20 - 95*r**4/12 + 2*r**3/3 + 190*r**2 + 13608*r. Find j, given that t(j) = 0.
-95, -2, 2
Let p(m) be the second derivative of m**4/72 - 237*m**3/2 + 1516563*m**2/4 - 96*m + 7. Factor p(l).
(l - 2133)**2/6
What is k in -224*k**3 - 22*k**2 - k**2 - 30 + 452*k**3 + 5*k**2 + 46*k - 226*k**3 = 0?
1, 3, 5
Let z(v) = -v**3 + 10*v**2 - 9*v + 2. Let r be z(9). Determine n, given that -51 - 84*n**4 + 10 - 560*n - 55 - 920*n**r - 500*n**3 = 0.
-3, -2, -2/3, -2/7
Let t(i) = -i + 1. Let m(q) be the first derivative of 2*q**5/5 - 4*q**3/3 - 3*q**2/2 + 5*q - 6. Let h(b) = m(b) - 3*t(b). Find r such that h(r) = 0.
-1, 1
Suppose 3*k + j - 24 = k, 0 = -5*j. Factor -54*v**2 - 5*v**4 + 31*v**3 - 40*v**3 + 72 + 8*v**4 - k*v.
3*(v - 6)*(v - 1)*(v + 2)**2
Let n(b) be the third derivative of b**6/40 - 29*b**5/20 + 183*b**4/8 - 315*b**3/2 + 4*b**2 - 79*b + 2. Factor n(z).
3*(z - 21)*(z - 5)*(z - 3)
Let l = -6413/541620 + -2/2295. Let m = 8529/2596 + l. Solve -2/11*c**4 - 58/11*c**2 - 18/11*c**3 - m - 78/11*c = 0.
-3, -2, -1
Let c(r) be the first derivative of -1/4*r**6 - 96*r - 10*r**3 + 6*r**4 + 9/10*r**5 + 28 - 72*r**2. Find p such that c(p) = 0.
-2, -1, 4
Let s = -178 + 315. Factor -15*r**2 - 38 - 914*r + s + 521*r + 3*r**2.
-3*(r + 33)*(4*r - 1)
Let f(r) be the first derivative of 156*r - 76*r**2 - 4/3*r**3 + 113. What is g in f(g) = 0?
-39, 1
Let m(x) be the third derivative of 0 + 1/210*x**6 + 1/1470*x**7 - 1/42*x**4 + 22*x + x**2 - 2/21*x**3 + 1/140*x**5. Suppose m(n) = 0. Calculate n.
-2, -1, 1
Let i(l) = 38*l**2 + 2286*l + 18830. Let d(y) = -y**3 - 37*y**2 - 2281*y - 18837. Let n(g) = -2*d(g) - 3*i(g). Factor n(c).
2*(c - 48)*(c + 14)**2
Suppose 2*z = -f + 576, 2*f + z = -z + 1156. Let p = 580 - f. Let p*n**2 + 2/7*n + 2/7*n**5 + 0 + 0*n**4 - 4/7*n**3 = 0. What is n?
-1, 0, 1
Let f = 3709/310 - -83/155. Factor -f - 5/4*s**3 + 5/4*s + 25/2*s**2.
-5*(s - 10)*(s - 1)*(s + 1)/4
Let v = -95 - -96. Factor -2*k + v + k**4 + 3 + k**4 - 5*k**2 + 2*k**3 - k**2.
2*(k - 1)**2*(k + 1)*(k + 2)
Let y(k) be the second derivative of -k**4/48 + 5*k**3/8 - 7*k**2 - 1014*k. Let y(x) = 0. Calculate x.
7, 8
Factor -5676*k + 1686 + 12*k**2 + 194 - 37*k**2 + 986*k.
-5*(k + 188)*(5*k - 2)
Let d(c) be the third derivative of -c**8/504 - 23*c**7/315 - 31*c**6/60 + 91*c**5/18 - 169*c**4/18 + 5997*c**2. Find x such that d(x) = 0.
-13, 0, 1, 2
Suppose -140 = -6*j - 68. Suppose i = 2*y + 3*y - j, 3*i = -y + 12. Factor -26*l**y + 5*l + 4*l**2 + 3*l + 12*l**2 + 16*l**3.
-2*l*(l - 2)*(5*l + 2)
Let v = 14497/5798 - 1/2899. Suppose -2*h + 3*h = 4, 0 = -3*x - 3*h + 18. Solve v*u**3 - 10/3*u + 0 - 5/6*u**4 + 0*u**x = 0 for u.
-1, 0, 2
Let a(r) = -16*r + 399. Let d be a(24). Suppose 20*y + d = 25*y. What is q in 8/3*q**2 + 0 + 8/3*q - 4/3*q**4 + 2/3*q**5 - 2*q**y = 0?
-1, 0, 2
Let j(u) be the first derivative of -3*u**4/20 + 10*u**3 - 129*u**2/10 - 882*u/5 + 1104. Factor j(s).
-3*(s - 49)*(s - 3)*(s + 2)/5
Let c(a) be the first derivative of 7*a + 7/24*a**3 - 1/8*a**4 - 1/80*a**5 + 0*a**2 + 5. Let y(i) be the first derivative of c(i). Factor y(q).
-q*(q - 1)*(q + 7)/4
Factor 21/2*v + 1/2*v**2 - 11.
(v - 1)*(v + 22)/2
Let j(o) be the third derivative of -o**5/660 + 61*o**4/264 + 31*o**3/33 - o**2 + 1421*o. Find g such that j(g) = 0.
-1, 62
Let u(s) = -5*s**2 - s - 1. Let l(z) = -5*z**3 - 2495*z**2 - 305050*z - 5. Let a(i) = -l(i) + 5*u(i). Suppose a(o) = 0. What is o?
-247, 0
Let r(o) = 9*o**4 - 9*o**3 - 2*o**2 - 8*o + 8. Suppose 7*m - 37 = 131. Let t(a) = a**4 - a**3 - a + 1. Let q(p) = m*t(p) - 3*r(p). Solve q(c) = 0.
-1, 0, 2
Let z(y) be the first derivative of 0*y + 2/7*y**2 + 9/28*y**4 + 4/7*y**3 - 4. Find k such that z(k) = 0.
-2/3, 0
Let x(q) be the first derivative of 5*q**4/4 - 239*q**3/9 + 569*q**2/6 + 13*q - 4236. Let x(b) = 0. What is b?
-1/15, 3, 13
Suppose -1610*i + 1085 = -2649 - 1096. Suppose 204/5*y + 129/5*y**2 + 12 - 3*y**i = 0. What is y?
-1, -2/5, 10
Let m = -16 - -21. Suppose g + m*g - 18 = 0. Determine l so that 60*l**3 + 5*l + 12*l**5 + g*l**5 - 31*l**4 - l**4 - 30*l**2 - 18*l**4 = 0.
0, 1/3, 1
Let y = -141 + 147. Let d(f) = 2*f**3 - 16*f**2 + 22*f + 14. Let u be d(y). Factor 12/7*v**3 + 24/7*v + 8/7 + 2/7*v**4 + 26/7*v**u.
2*(v + 1)**2*(v + 2)**2/7
Let j(p) be the first derivative of -2*p**3/9 + p**2/3 + 140*p - 749. Factor j(h).
-2*(h - 15)*(h + 14)/3
Factor 837/4*b**2 - 849/2*b - 3/8*b**4 + 285 - 267/8*b**3.
-3*(b - 2)**3*(b + 95)/8
Suppose 177 = 5*v - 4473. Let u be 1922/v - (-6)/10. Determine k so that -u + 2*k + 2/3*k**2 = 0.
-4, 1
Suppose -24*d + 13 = -3659. Let u be (9 - -1) + (-1440)/d. Factor -u*i - 2/17*i**2 + 12/17.
-2*(i - 1)*(i + 6)/17
Let z(g) be the second derivative of -g**6/90 - 13*g**5/30 + 55*g**4/36 - 14*g**3/9 + 23*g - 15. Find o, given that z(o) = 0.
-28, 0, 1
Suppose -3*h - 13 + 38 = 4*f, 5*f - 2*h = 14. Factor -62*b - 236 + f*b**2 - 17*b - 98*b - 31*b - 24*b.
4*(b - 59)*(b + 1)
Let d(v) = 5*v**2 + 27*v + 46. Let b(x) = -51*x**2 - 270*x - 462. Suppose 0 = -2*k + 3*k - 21. Let i(h) = k*d(h) + 2*b(h). Determine t so that i(t) = 0.
-7, -2
Let j(v) = 39*v - 35*v + 0*v**2 - 5*v**2. Let n(i) = 4*i**2 - 5*i + 7*i**2 - 7*i**2. Let f(k) = 3*j(k) + 2*n(k). Factor f(z).
-z*(7*z - 2)
Let y(l) be the first derivative of 441*l**5/10 + 861*l**4/4 + 1597*l**3/6 - 41*l**2 + 2*l - 8569. Factor y(u).
(u + 2)**2*(21*u - 1)**2/2
Let a(u) be the second derivative of 11/2*u**2 + 0 - 1/60*u**5 + 1/120*u**6 + 15*u - 1/4*u**4 + 0*u**3. Let q(s) be the first derivative of a(s). Factor q(r).
r*(r - 3)*(r + 2)
Let t be (-6)/10 + (-1420)/50. Let u = t - -31. Factor 45*i + 12*i**2 + 13*i**u - 35*i**2 + 5*i**2.
-5*i*(i - 9)
Suppose g - 2*o + 7 = -7*o, -2*g - 5*o = -11. Let v be (80/24)/(3/g). Factor 18*f**2 + 8 + v*f - 8 - 13*f**2.
5*f*(f + 4)
Suppose 0 = -2*a + 3*a - 36. Suppose -2*v + a = 12. Factor -30*i**2 - 16*i - v*i**3 - 4*i**2 + 20*i**4 + 19*i**2 - 33*i**2.
4*i*(i - 2)*(i + 1)*(5*i + 2)
Factor 5*r**4 + 10363*r**2 + 7241*r**2 - 14025*r - 1939*r**2 + 4156 - 555*r**3 - 34406.
5*(r - 55)**2*(r - 2)*(r + 1)
Let r(q) be the second derivative of q**4/12 + 14*q**3/3 + 6*q**2 - q - 72. Let u(g) = 3. Let m(c) = r(c) + 5*u(c). Factor m(z).
(z + 1)*(z + 27)
Let h = 1263733/3 + -421243. Suppose 2/3 + h*w**5 + 5/3*w**4 - 11/3*w**3 - 7/3*w**2 + 7/3*w = 0. Calcu