2 = 0. Calculate p.
-2, -1, 5
Suppose 11*z + 60 = 23*z. Factor 4*f + 2*f**z + 3*f**3 + 0*f**4 - 2*f**2 + 2*f**4 - 5*f**3 - 4*f**3.
2*f*(f - 1)**2*(f + 1)*(f + 2)
Let 5*w**2 - 2*w**2 + 1200 + 20*w**2 - 2608*w + 5*w**2 + 3356*w = 0. Calculate w.
-25, -12/7
Determine h so that -1332/11 + 1338/11*h**2 + 4/11*h**3 + 1994/11*h = 0.
-333, -2, 1/2
Let i(q) be the third derivative of -4*q**2 - 1 + 0*q - 1/1380*q**6 + 7/690*q**5 - 7/69*q**3 + 1/276*q**4. Factor i(d).
-2*(d - 7)*(d - 1)*(d + 1)/23
Let n(d) = -8*d + 117. Let o be n(14). Suppose -4*v = 2*z + 8, -2*z + o*v = -13 - 6. What is i in 4/13 - 2/13*i - 2/13*i**z = 0?
-2, 1
Let f be (-29 + 864/32)*10/(-4). Let u(d) be the second derivative of 3/20*d**f + 9*d**2 - 4*d - 11/2*d**3 + d**4 + 0. Find y such that u(y) = 0.
-6, 1
Suppose 1771*d = 382*d - 1206 + 5373. Determine p, given that 0*p - 26/19*p**2 - 2/19*p**d + 0 = 0.
-13, 0
Let x be 13/11 - -3 - (-2)/(-11). Find s, given that -205*s**3 + 172*s**2 - 45*s**x - 20*s + 208*s**2 - 30*s**4 + 627 - 707 = 0.
-4, -2/5, 2/3, 1
Factor -146/9*w**2 - 109/9*w - 47/9*w**3 - 10/9.
-(w + 1)*(w + 2)*(47*w + 5)/9
Let p(g) be the third derivative of g**5/80 + 299*g**4/8 + 89401*g**3/2 + 1779*g**2. Solve p(w) = 0.
-598
Let z be (-72)/(-45)*((-3)/(-2) + 1). Factor 376*h**4 + 5*h**5 - 857*h**4 + 314*h**z + 125*h**3 + 297*h**4.
5*h**3*(h + 1)*(h + 25)
Let r(d) be the second derivative of 5*d**4/12 - 605*d**3/6 - 305*d**2 + 3853*d. Let r(f) = 0. Calculate f.
-1, 122
Let q = 509 + -496. Suppose 0 = -3*y - 4*k + 3 + 23, -3*k + q = -y. Let -9*m + y + 15/2*m**2 + 25/4*m**3 = 0. What is m?
-2, 2/5
Let w(c) be the first derivative of 114 - 1/5*c**5 + 12*c**2 - 6*c**4 + 1/3*c**3 + 0*c. Let w(p) = 0. Calculate p.
-24, -1, 0, 1
Let d(y) be the second derivative of 0 + 56*y - 2*y**4 + y**5 + 64*y**2 + 2/15*y**6 - 64/3*y**3. Factor d(g).
4*(g - 2)*(g - 1)*(g + 4)**2
Factor 254*u - 145*u**2 - 1904*u + 150*u**2.
5*u*(u - 330)
Solve 435/4*i + 1/4*i**2 - 109 = 0 for i.
-436, 1
Let h(b) be the first derivative of -b**3/3 - 12*b**2 + 585*b + 418. Factor h(r).
-(r - 15)*(r + 39)
Let 183/2*q + 288 - 3/2*q**2 = 0. Calculate q.
-3, 64
Let q be (-544)/(-2100) - 160/(-6000). Factor 0 + q*w**2 + 6*w.
2*w*(w + 21)/7
Let i(f) be the third derivative of -1/30*f**5 - 1/80*f**6 + 0*f + 0*f**3 + 1/12*f**4 + 0 - 37*f**2. Factor i(w).
-w*(w + 2)*(3*w - 2)/2
Suppose -p - b + 43 = -0, -p = 3*b - 47. Factor 4*y**2 - p*y - 72*y + 26*y + 88 - 5*y.
4*(y - 22)*(y - 1)
Determine r so that -526*r**3 + 0*r + 212*r**2 + 0*r + 250*r**4 - 260*r**4 = 0.
-53, 0, 2/5
Suppose 32*d - 13 - 16 = 67. Let l(v) be the first derivative of -405*v - 5/3*v**d - 45*v**2 + 32. Solve l(w) = 0.
-9
Let o be (-1270)/(-1050) + (-21 - (-8164)/390). Factor 10/7*c**3 + 16/7*c**2 + o*c + 2/7*c**4 + 0.
2*c*(c + 1)*(c + 2)**2/7
Suppose -9 = 14*k - 17*k. Find t such that 10*t + 8*t**3 + 27*t**2 - 148*t**k + 18*t**2 - 720*t**4 - 320*t**5 = 0.
-2, -1/4, 0, 1/4
Let v be 17/((-8)/(-13 + 5))*(-26)/(-221). What is b in 5/6*b**v - 5/6 + 5/6*b - 5/6*b**3 = 0?
-1, 1
Suppose -f + 10 = 3*r, 0 = -f - 2*r - 3 + 15. Suppose -26 = 3*u - f*u. Factor -24/7*x - 2/7*x**3 + 16/7 + 12/7*x**u.
-2*(x - 2)**3/7
Let v be 37 - (-34)/(1258/(-1369)). Determine l, given that v + 144/5*l + 24/5*l**2 + 1/5*l**3 = 0.
-12, 0
Let n be (-108)/4*(-1)/(1 + 0). Factor 9*m**3 - 4*m**3 + 40*m**2 - 43*m**2 - n*m**2.
5*m**2*(m - 6)
Let u(t) = -253*t**2 + 8860*t - 173. Let q be u(35). Let a be (2 + 1)/((-3)/(-2)). Find p, given that q - 2*p + 1/2*p**a = 0.
2
Let v(b) = -16*b**2 - 1107*b - 5. Let u(c) = -76*c**2 - 5536*c - 24. Let t(l) = -5*u(l) + 24*v(l). Factor t(r).
-4*r*(r - 278)
Let a(h) be the third derivative of -12167*h**7/42 + 110561*h**6/8 - 14329*h**5/2 + 9325*h**4/6 - 180*h**3 + 1913*h**2. Factor a(q).
-5*(q - 27)*(23*q - 2)**3
Let i(g) be the second derivative of -g**7/168 - g**6/18 + 19*g**5/24 - 35*g**4/12 - 14*g**3/3 + 64*g. Let t(k) be the second derivative of i(k). Factor t(d).
-5*(d - 2)*(d - 1)*(d + 7)
Let j(o) be the third derivative of -o**5/330 + 5*o**4/66 + 8*o**3/11 - 40*o**2. Factor j(l).
-2*(l - 12)*(l + 2)/11
Factor 50*m**3 + 8884 + 2456 - 4385*m**2 + 17700 + 95480*m.
5*(m - 44)**2*(10*m + 3)
Let y(t) = -2*t**2 + 61 - 54 + 4*t**2 - 17*t. Let d be y(11). Factor d*w**3 + w**4 - 2*w**4 - 33*w**3 - 28*w**3.
-w**3*(w - 1)
Let j be (-44)/(-12) - (11/3 + -4). Let m(l) be the second derivative of 13*l + 0 + 1/20*l**5 + 7/6*l**3 + 1/2*l**j - 1/60*l**6 + 5/4*l**2. Factor m(k).
-(k - 5)*(k + 1)**3/2
Suppose -40*r + 43*r = 210. Determine q, given that -r*q - 429*q**2 - 7 + 0 + 229*q + 1 + 276*q = 0.
2/143, 1
Let c = -38 + 47. Let i be 2/c*159/106. Suppose 1/3*r**2 - 2/3*r + i = 0. Calculate r.
1
Let f = 891 - 874. Factor -5947 - f*o - o**2 + 0*o**2 + 5931.
-(o + 1)*(o + 16)
Let v be -2 + 45/(12 + 3) - 1. Let -2/7*r**3 + 0 + v*r - 2/7*r**2 = 0. What is r?
-1, 0
Factor -27 + 67*w + 5/4*w**2.
(w + 54)*(5*w - 2)/4
Find b such that -99/2 - 1/8*b**2 - 9*b = 0.
-66, -6
Suppose o - j + 17 = 3*j, -5*o - 4*j = -11. Let y be 2 + 1*(2 + o). Determine z so that -47 - 48*z**2 - 20*z**y - 42 + 81 - 36*z = 0.
-1, -2/5
Let l be (4/20*13 + -3)*-5. Determine c, given that 9*c - 4 + 6 + 2 + 6*c**l + c**3 = 0.
-4, -1
Let w be (-345030)/(-119560) + (2 - (-22)/(-8)). Let d = 3/427 + w. Factor -3/7*n**2 - 18/7 + d*n.
-3*(n - 3)*(n - 2)/7
Let d(h) be the first derivative of 3*h**4/2 + 274*h**3 + 1635*h**2/4 + 204*h + 327. Determine g so that d(g) = 0.
-136, -1/2
Let i be (-6)/(-10) + (1716/180 - 10). Let y(k) be the first derivative of -1/45*k**6 - 2/75*k**5 - 1/15*k**2 + 4/45*k**3 + 8 - i*k + 1/15*k**4. Factor y(w).
-2*(w - 1)**2*(w + 1)**3/15
Let a(v) be the first derivative of -44*v**3/15 + 26*v**2/5 + 48*v - 2305. Let a(d) = 0. Calculate d.
-20/11, 3
Let -722000*g + 155*g**4 - 304*g**4 - 4232*g**3 - 900469*g**2 + 174669*g**2 + 144*g**4 + 427*g**3 = 0. What is g?
-380, -1, 0
Let l(w) be the first derivative of -w**4/14 + 8*w**3/21 - 5*w**2/7 + 4*w/7 + 2029. Let l(f) = 0. Calculate f.
1, 2
Let v(z) be the first derivative of z**4/8 + z**3/3 - 133*z**2/4 + 65*z + 161. Solve v(w) = 0.
-13, 1, 10
Let w(q) be the third derivative of 13/12*q**4 - 14/3*q**3 + 117*q**2 + 0 + 0*q + 1/30*q**5. Find p such that w(p) = 0.
-14, 1
Let t(d) be the second derivative of -5*d**4/48 + 57*d**3 + 137*d**2/2 + 913*d. Suppose t(g) = 0. What is g?
-2/5, 274
Let i(q) be the first derivative of 53 - 11/4*q**2 - 1/6*q**3 - 5*q. Factor i(a).
-(a + 1)*(a + 10)/2
Suppose 3*k + 5 + 2 = -5*a, 2*k - 32 = 4*a. Factor 68*z + 46 - 5512*z**2 + k + z**3 + 5532*z**2 + 12.
(z + 2)**2*(z + 16)
Let i(p) = 19*p**2 + 114*p - 955. Let f(x) = -51*x**2 - 303*x + 2547. Let h(d) = 10*f(d) + 27*i(d). Factor h(r).
3*(r - 5)*(r + 21)
Let c = -33349/20 + 6677/4. Let o be (6/60)/((-1)/(-6)). Factor 21/5*l**2 - o*l + 3*l**3 - c.
3*(l + 1)**2*(5*l - 3)/5
Suppose -159 = -49*c + 576. Let v be 42/c - (-48)/(-60). Determine d, given that 2/13*d**v + 2/13*d - 12/13 = 0.
-3, 2
Let q(o) be the third derivative of o**6/165 - 59*o**5/330 + 101*o**4/66 - 40*o**3/11 - 2399*o**2. Find h such that q(h) = 0.
3/4, 4, 10
Suppose -2*c = -3*f + 5, 0 = -0*f + 2*f + 4*c - 14. Suppose 0 = -6*d + 2*d + 8. Factor 7 + 9*b**3 - 12*b - 24*b + 18*b**d - 12*b**f + 17.
-3*(b - 2)**3
Let q = 444 + -431. Factor 79 - q - 4*s**2 - 16*s - 20 + 2.
-4*(s - 2)*(s + 6)
Let x(a) be the first derivative of a**5/90 + a**4/54 - 4*a**3/27 - 4*a**2/9 + 24*a + 187. Let m(v) be the first derivative of x(v). Factor m(k).
2*(k - 2)*(k + 1)*(k + 2)/9
Determine i, given that -75/4 - 223/8*i + 3/8*i**2 = 0.
-2/3, 75
Factor 40/7*o + 2*o**3 + 36/7*o**2 + 16/7 + 2/7*o**4.
2*(o + 1)*(o + 2)**3/7
Let y(k) be the first derivative of -k**3 + 21*k**2/2 - 22*k + 3. Let j(m) = -24*m**2 + 168*m - 177. Let a(q) = -4*j(q) + 33*y(q). Find s such that a(s) = 0.
1, 6
Let p(m) be the second derivative of -11*m**4 - m**3/12 - 188*m. Determine i so that p(i) = 0.
-1/264, 0
Suppose -223 - 101 = -162*a. Let x(j) be the first derivative of -32/3*j**3 - j**4 - 42*j**a - 72*j + 5. Let x(o) = 0. What is o?
-3, -2
Let p(a) be the second derivative of -a**7/1260 - a**6/540 + a**5/30 + 11*a**3/6 - a**2/2 - 72*a. Let m(b) be the second derivative of p(b). Solve m(x) = 0.
-3, 0, 2
Suppose 65*n + 70*n + 36*n = 42*n. Let