p**2 - 58*p + 23*p - 2529*p**2.
-5*(p - 1)*(p + 8)
Let b be (-13680)/560 + 24 - (1 - (110/28 - 2)). Solve -b*r**2 - 51*r - 2601/2 = 0.
-51
Let m(f) be the third derivative of -1/100*f**6 + 1/20*f**5 + 3/20*f**4 + 0*f**3 + 12*f**2 + 0*f - 1/350*f**7 - 4. Factor m(j).
-3*j*(j - 2)*(j + 1)*(j + 3)/5
Factor 6845 + 34966/5*q**2 + 13764*q + 372/5*q**3 + 1/5*q**4.
(q + 1)**2*(q + 185)**2/5
Suppose -2*q - 69 = -5*r, r - 24 = -2*q - q. Let j = -2 + 4. Suppose 3 - r*z + 3*z**4 + 22*z**j + 4*z**3 - 1 - 18*z**5 - 27*z**4 + 29*z**5 = 0. What is z?
-1, 2/11, 1
Let d be (72/54)/((-6)/(-9)). Suppose 2*k**d - k**2 + 11*k**2 - 957*k + 990*k - 9 = 0. Calculate k.
-3, 1/4
Let m(f) be the first derivative of f**3/3 - 30*f**2 + 116*f + 1738. Factor m(j).
(j - 58)*(j - 2)
Let u(x) = 30*x**3 - 252*x**2 + 12*x + 231. Let f(h) = 7*h**3 - 63*h**2 + 3*h + 58. Let q(o) = 21*f(o) - 5*u(o). Factor q(n).
-3*(n - 1)*(n + 1)*(n + 21)
Let c(u) be the first derivative of -2*u**3/21 + 58*u**2/7 - 126*u - 1808. Find v, given that c(v) = 0.
9, 49
Factor 0 - 2/17*d**2 - 214/17*d.
-2*d*(d + 107)/17
Let v(y) be the first derivative of y**3/3 - 5*y**2/2 - 546*y - 5300. Find i, given that v(i) = 0.
-21, 26
Suppose -40 = -5*l - 5*l. Suppose 2 + l = 3*p. Let 4 + 1 + q**2 + 2*q**p + 6*q - 14 = 0. What is q?
-3, 1
Let z be 1/(((-30)/24)/((-10)/4)). Let -l - 14*l + 7*l + l**2 + 0*l**z - 13*l = 0. Calculate l.
0, 21
Suppose -11 + 1/4*y**2 - 7/4*y = 0. Calculate y.
-4, 11
Let x = -261 - -279. Solve 7*v - 16 + 15*v + 0*v**2 - x*v + 2*v**2 = 0.
-4, 2
Factor 6*y**4 - 1320 - 1118*y**2 + 2868*y + 299*y**2 - 3*y**4 - 477*y - 255*y**3.
3*(y - 88)*(y - 1)**2*(y + 5)
Solve -11/4*d**4 + 161/2*d**2 - 181/4*d**3 + 69*d - 54 = 0 for d.
-18, -1, 6/11, 2
Let v be (-15 - 4) + (-9)/(45/(-110)). Factor -2*g - 4/3*g**2 + 0 + 2/3*g**v.
2*g*(g - 3)*(g + 1)/3
Let s(p) be the third derivative of -p**7/105 + p**6/6 + p**5/30 - 5*p**4/6 + p**2 + 60*p. Suppose s(z) = 0. What is z?
-1, 0, 1, 10
Let r(u) = 8*u**2 - 132*u - 936. Let h(o) be the third derivative of o**5/60 - o**4/24 - o**3/2 + 27*o**2 + 2*o. Let w(v) = -12*h(v) + r(v). Factor w(q).
-4*(q + 15)**2
Let m(f) be the first derivative of -5*f**3/3 - 435*f**2 - 1720*f - 115. Let m(c) = 0. Calculate c.
-172, -2
Solve 2446/9*a**2 + 146/9*a**4 + 2/9*a**5 - 288 + 2734/9*a**3 - 304*a = 0 for a.
-36, -1, 1
Factor -44/3 - 15*y - 1/3*y**2.
-(y + 1)*(y + 44)/3
Solve 456/5*i - 32/5 - 10*i**5 + 134/5*i**3 - 712/5*i**2 + 204/5*i**4 = 0 for i.
-2, 2/25, 1, 4
Suppose 13506*a**2 - 6749*a**2 + 242*a - 6755*a**2 = 0. Calculate a.
-121, 0
Suppose -54/7 + 1/7*s**2 - 15/7*s = 0. What is s?
-3, 18
Let c = -151 - -169. Let k be c/((-126)/35) + (-54)/(-10). Factor -4/5*g - 2/5*g**2 - k.
-2*(g + 1)**2/5
Let v = -204062 - -1020312/5. Factor -v*c**2 + 4 - 6/5*c.
-2*(c - 2)*(c + 5)/5
Let d(s) = 10*s**4 + 54*s**3 + 46*s**2 - 48*s - 62. Let f(a) = -2*a**4 + 2*a**2 - a + 1. Let w(b) = d(b) + 6*f(b). Solve w(k) = 0.
-1, 1, 28
Factor -28*h**2 + 20*h + 68*h**5 - 33*h**5 - 31*h**5 - 48*h**3 + 18*h + 10*h - 3*h**4.
h*(h - 4)*(h + 2)**2*(4*h - 3)
Let v be 117/(-36) - (-660)/176. Factor w**2 - 1 + 1/2*w - v*w**3.
-(w - 2)*(w - 1)*(w + 1)/2
Let y = 762 - 1086. Let p be (2/(-3) - 0)*y/10. Let p - 21*j**2 - 36/5*j + 36/5*j**3 - 3/5*j**4 = 0. What is j?
-1, 1, 6
Let b(h) be the second derivative of h**7/7 - 13*h**6/3 - 163*h**5/10 - 119*h**4/6 - 8*h**3 + 138*h + 2. Determine l so that b(l) = 0.
-1, -1/3, 0, 24
Let y(s) be the second derivative of 0*s**4 + 2 - 9*s + 0*s**3 - 3/5*s**5 + 1/10*s**6 + 0*s**2. Suppose y(l) = 0. Calculate l.
0, 4
Let i(t) be the first derivative of -3*t**6/8 - 51*t**5/20 + 117*t**4/16 + 277*t**3/4 + 54*t**2 - 60*t - 1706. Determine v so that i(v) = 0.
-5, -4, -1, 1/3, 4
Let f(v) be the first derivative of v**4/8 - 55*v**3/6 - 357*v**2/4 - 549*v/2 - 33. Find k, given that f(k) = 0.
-3, 61
Factor 8*u**3 + 28*u - 19/2 + 1/2*u**4 - 27*u**2.
(u - 1)**3*(u + 19)/2
Let z = -2517 + 2522. Let s(n) be the first derivative of 3*n**4 - 20/3*n**3 + 16/5*n**z + 4*n - 6*n**2 + 7. Factor s(f).
4*(f - 1)*(f + 1)**2*(4*f - 1)
Factor -43*u**3 - 551*u + 896*u + 638*u - 393*u**2 - 1058 - u**4 + 0*u**4 + 512*u.
-(u - 2)*(u - 1)*(u + 23)**2
Let b = 351 + -346. Let t(m) be the second derivative of 0*m**2 - 1/126*m**7 - 17*m - 2/9*m**3 + 1/9*m**4 + 0 - 1/45*m**6 + 1/20*m**b. Factor t(z).
-z*(z - 1)**2*(z + 2)**2/3
Determine t, given that 243/2*t**2 - 721*t - 1/2*t**4 + 980 - 2*t**3 = 0.
-20, 2, 7
Suppose -11*p = -4*p - 14. Solve 79*j - 53*j + 72*j + 102*j - p*j**2 - 5000 = 0.
50
Let 3/2*h**4 + 0 - 4*h - 1/4*h**5 + 17/4*h**3 - 3/2*h**2 = 0. Calculate h.
-2, -1, 0, 1, 8
Let f(q) be the third derivative of -q**8/84 + 64*q**7/105 - 14*q**6/15 - 98*q**5/15 + 157*q**4/6 - 124*q**3/3 + 999*q**2. Factor f(u).
-4*(u - 31)*(u - 1)**3*(u + 2)
Let x(m) be the first derivative of -m**6/12 + 7*m**5/2 - 81*m**4/2 + 584*m**3/3 - 368*m**2 + 1159. Let x(r) = 0. What is r?
0, 4, 23
Let i(g) be the third derivative of g**7/70 - g**6/20 - 13*g**5/20 + 7*g**4/4 + 12*g**3 + 1018*g**2. Determine l so that i(l) = 0.
-3, -1, 2, 4
Let t(g) = 17*g**2 - 7*g - 41. Let y(k) = -12*k**2 + 5*k + 28. Let h(o) = -5*t(o) - 7*y(o). Determine n, given that h(n) = 0.
-3, 3
Factor -1267*g**3 + 12 - 124*g + 97*g**2 + 635*g**3 + 613*g**3.
-(g - 3)*(g - 2)*(19*g - 2)
Let n(l) be the first derivative of 2*l**5/15 + 13*l**4/2 + 310*l**3/3 + 1649*l**2/3 + 1156*l - 1997. Find h, given that n(h) = 0.
-17, -3, -2
Let d(u) be the first derivative of -500*u - 225 + 1/20*u**4 + 240*u**2 + 33/5*u**3. Factor d(q).
(q - 1)*(q + 50)**2/5
Let m(c) be the third derivative of c**6/1080 + 133*c**5/540 - 68*c**4/27 + 274*c**3/27 + 1283*c**2. Factor m(g).
(g - 2)**2*(g + 137)/9
Factor 1/5*u**5 - 2036/5*u**2 - 68 - 336/5*u**4 - 1359/5*u - 1354/5*u**3.
(u - 340)*(u + 1)**4/5
Let i(g) be the second derivative of -g**7/1260 + g**6/20 + g**4/4 - 17*g**3/2 - 22*g - 2. Let r(u) be the third derivative of i(u). Factor r(f).
-2*f*(f - 18)
Suppose 2*h - 43 = -s, s + 4 = -3*h + 68. Let i(k) be the first derivative of -3/5*k**5 + 0*k + 3*k**3 + 0*k**4 + 3*k**2 + h. Suppose i(v) = 0. What is v?
-1, 0, 2
Let f(n) = -5*n**3 - 11*n**2 - 32*n - 27. Let a(s) = 82 - 163 + 82 - s**3 - s**2 + 2*s**3. Let z(c) = -3*a(c) - f(c). Determine g so that z(g) = 0.
-3, -2
Let y = -351190/99 + 39026/11. Find k such that 0 - 2/9*k**4 + 20/9*k + y*k**3 + 26/9*k**2 = 0.
-2, -1, 0, 5
Let o(p) be the second derivative of 125*p**7/63 + 100*p**6/9 + 133*p**5/6 + 49*p**4/3 + 2*p - 2427. Find z such that o(z) = 0.
-7/5, -6/5, 0
Let i be 20/15*(-3)/(-2). Find y such that -5*y**4 + 120 - 13*y**2 + 9*y**i + 140*y + 27*y**2 + 7*y**2 - 15*y**3 = 0.
-2, 3
Let w(t) be the second derivative of 3*t**5/40 + 105*t**4/4 - 677*t. Factor w(o).
3*o**2*(o + 210)/2
Suppose 0*f + 0 - 428/7*f**2 + 2/7*f**3 = 0. Calculate f.
0, 214
Let y(k) be the second derivative of 2 + 0*k**3 - 1/120*k**6 + 0*k**4 + 3/80*k**5 + 0*k**2 - 7*k. Factor y(o).
-o**3*(o - 3)/4
Let v(z) be the third derivative of 9409*z**6/630 + 194*z**5/105 + 2*z**4/21 + 71*z**3/3 + 230*z**2. Let l(r) be the first derivative of v(r). Factor l(p).
4*(97*p + 2)**2/7
Let c be (66/(-11) - -4)/(2/2). Let m(k) = 5*k**3 - 80*k**2 - 5*k + 80. Let r(j) = -3*j**3 + 40*j**2 + 3*j - 40. Let b(i) = c*m(i) - 5*r(i). Factor b(f).
5*(f - 8)*(f - 1)*(f + 1)
Suppose 20 - 2 = 3*z. Suppose -79 = -z*o - 19. Suppose -6*y + 2*y**3 - o*y**4 + 7*y**4 + 3*y**5 - 11*y**3 + 15*y**2 = 0. What is y?
-2, 0, 1
Let s(w) be the second derivative of -w**7/3780 + 11*w**6/540 + 23*w**5/180 + 61*w**4/6 + 8*w. Let n(h) be the third derivative of s(h). Factor n(j).
-2*(j - 23)*(j + 1)/3
Let y = 1380293/4831050 + 1/690150. Factor y*i**4 - 46/7 - 40/7*i**3 - 132/7*i**2 - 136/7*i.
2*(i - 23)*(i + 1)**3/7
Let b(n) = 7*n**2 - 814*n + 13710. Let o(f) = 5*f**2 - 598*f + 10282. Let z(w) = 7*b(w) - 9*o(w). Factor z(i).
4*(i - 66)*(i - 13)
Let k(h) be the second derivative of -385*h**4/12 + 12715*h**3/6 - 165*h**2 - 8703*h. Factor k(o).
-5*(o - 33)*(77*o - 2)
Let h(t) be the second derivative of 32 + 1/30*t**6 + 0*t**2 - 1/3*t**4 - 1/20*t**5 + 2*t + 2/3*t**3. Factor h(w).
w*(w - 2)*(w - 1)*(w + 2)
Let v be (-103362)/(-1932) - (52 - 1). Determine c so that -2*c - 1/2*c**3 + 0 - v*c**2 = 0.
-4, -1, 0
Let 