**3 - 9/7*h**2.
(h - 1)**2*(h + 1)*(7*h + 2)/7
Let j(b) be the second derivative of 1 - 20/3*b**3 + 1/6*b**4 - 9*b + 100*b**2. Find c such that j(c) = 0.
10
Let q(k) = -k**2 - 23*k - 60. Suppose 4*x = 3*s + 52, 5*s + 0*x = 2*x - 96. Let r be q(s). Suppose r - 4/9*p + 2/9*p**2 = 0. What is p?
0, 2
Let i(o) be the first derivative of 150*o + 85/2*o**2 + 82 - 70/3*o**3 - 5/4*o**4. Factor i(c).
-5*(c - 2)*(c + 1)*(c + 15)
Let s(z) be the first derivative of -2*z**3/51 + 124*z**2/17 + 1925. Suppose s(a) = 0. What is a?
0, 124
Suppose -42 = -168*v + 147*v. Let -7*z**v - 4*z + 2*z**4 + 4*z**3 + 7*z**2 - 3*z**4 + 3 - 2*z**2 = 0. What is z?
-1, 1, 3
Suppose -6*m + 124 - 310 = 0. Let v = m + 33. Find h, given that -h + h**5 - 61*h**3 + 61*h**3 - 3*h**2 + v*h**4 + h**2 = 0.
-1, 0, 1
Let s be 4*((-152)/(-32) - 4). Solve 63*u**s - 168*u**3 - 40 + 65*u**2 + 75*u**3 + 230*u = 0.
-2, 1/6, 4
Let w(k) be the first derivative of -48*k**5/25 - 1134*k**4/5 - 34569*k**3/5 + 81648*k**2/5 - 62208*k/5 + 3452. Solve w(o) = 0 for o.
-48, 3/4
Let u = 541 - 545. Let x be (u/(-108))/(((-22)/(-24))/11). Find y, given that -4/9*y**3 + 10/9*y**2 + 0 - x*y = 0.
0, 1/2, 2
What is r in 285*r**3 - 90*r**3 - 94*r**3 - 2600*r + 127*r**2 + 83*r**2 - 96*r**3 = 0?
-52, 0, 10
Let x(r) be the first derivative of -4*r**3/3 + 492*r**2 - 2916*r - 793. Factor x(a).
-4*(a - 243)*(a - 3)
Suppose -34*x - 1573 = -621. Let j be x/84*(-1)/2*2. Factor j*w**5 + 0*w**4 + 1/3*w - 2/3*w**3 + 0*w**2 + 0.
w*(w - 1)**2*(w + 1)**2/3
Let k be 12/(-48) + 4/(-38) + (-28831)/(-5852). Find v, given that -k - 2/7*v**2 - 16/7*v = 0.
-4
Let r(x) be the third derivative of x**7/42 - 2*x**5/3 + 40*x**3/3 - 149*x**2 - 43. Factor r(o).
5*(o - 2)**2*(o + 2)**2
Let k(r) be the first derivative of 4*r**5/35 + 8*r**4/7 + 76*r**3/21 + 24*r**2/7 + 1437. Find j, given that k(j) = 0.
-4, -3, -1, 0
Find u such that 16/13*u - 318/13*u**2 - 40/13*u**3 + 0 = 0.
-8, 0, 1/20
Let u(f) be the third derivative of -2*f**7/35 + 173*f**6/60 + 29*f**5/30 - 14*f**2 - 3. Factor u(o).
-2*o**2*(o - 29)*(6*o + 1)
Suppose -5*z + n + 8 = 0, 4*n - 4 = 338*z - 336*z. Suppose -39/2*k + 27/4 - 9/4*k**z = 0. Calculate k.
-9, 1/3
Let l(f) be the first derivative of -f**6/90 - 8*f**5/15 - 32*f**4/3 + 47*f**3/3 + 23. Let h(y) be the third derivative of l(y). Factor h(j).
-4*(j + 8)**2
Let f(v) be the first derivative of v**3/33 + 35*v**2/22 + 294*v/11 - 3636. Solve f(q) = 0 for q.
-21, -14
Let m(r) = r**2 + 22*r + 116. Let t be m(-9). Let j be 1/16*-20*t. What is l in -j*l**2 + 5/4*l + 5/2 = 0?
-1, 2
Let n(x) = -x**3 - 20*x**2 - 73*x + 678. Let r(f) = -f**3 + 3*f + 6. Let w(b) = -n(b) + 3*r(b). Factor w(t).
-2*(t - 11)*(t - 5)*(t + 6)
Let q(a) be the first derivative of 55*a**2/2 + 443*a + 324. Let k be q(-8). Factor 1/3*b**k + 1/3*b**2 + 0*b + 0.
b**2*(b + 1)/3
Factor 928 + 924*n**2 - 43*n**3 - 46*n**3 + 932*n - 2786*n + 91*n**3.
2*(n - 1)**2*(n + 464)
Let u(z) be the first derivative of 0*z**3 + 1/5*z**5 + 0*z - 144 + 0*z**2 + 1/2*z**4. Find q, given that u(q) = 0.
-2, 0
Let m(g) = 6*g**3 - 41*g**2 - 236*g + 21730. Let l(v) = v**3 + v**2 - v - 10. Let n(s) = 15*l(s) - 3*m(s). Factor n(z).
-3*(z - 33)**2*(z + 20)
Let u(g) be the first derivative of 5*g**3/9 - 305*g**2/6 - 320*g + 1786. Determine l, given that u(l) = 0.
-3, 64
Let b = -125 - -197. Find m such that 3*m**4 + 66*m**2 + 3 + 0 - b*m**2 = 0.
-1, 1
Let w = -235247/39 + 78420/13. Suppose 2/3*a**2 + 1/3*a - 2/3 - w*a**3 = 0. What is a?
-1, 1, 2
Let x(t) be the third derivative of -t**6/160 + 549*t**5/80 - 75075*t**4/32 - 75625*t**3/8 + 2260*t**2 + 2*t. Suppose x(p) = 0. Calculate p.
-1, 275
Suppose -b + 65 = 68. Let k be (-140)/120 - b/2. Factor 1/3*a + k*a**2 + 0.
a*(a + 1)/3
Let b be (-19 - -16)/(1/(44/3)). Let x be 11/b*16/(-14). Let -8/7*q**2 + x*q**3 + 2/7*q + 12/7 = 0. What is q?
-1, 2, 3
Let h(q) = 13*q**2 + 29*q - 146. Let c(i) = -15*i**2 - 35*i + 145. Let s(r) = -4*c(r) - 5*h(r). Factor s(f).
-5*(f - 5)*(f + 6)
Factor 10386/5 - 9/5*a**2 - 15573/5*a.
-3*(a + 1731)*(3*a - 2)/5
Let -360*r**2 + 160682*r**5 - 160678*r**5 - 320*r**3 - 206 - 48*r**4 + 316*r + 614 = 0. What is r?
-3, -2, -1, 1, 17
Let i(j) be the second derivative of -17*j**7/147 - 4*j**6/5 - 97*j**5/70 + 37*j**4/21 + 44*j**3/7 - 8*j**2/7 + 35*j + 8. Let i(w) = 0. Calculate w.
-2, 1/17, 1
Let r(n) be the second derivative of -n**4/54 - n**3/27 + 2*n**2/3 - 125*n - 1. Factor r(d).
-2*(d - 2)*(d + 3)/9
Let j(h) = 3443*h - 30985. Let i be j(9). Factor 3/2*u**i + 0*u + 0 + 7/4*u**3 - 3/4*u**4.
-u**2*(u - 3)*(3*u + 2)/4
Let u = 1556 - 1563. Let v(j) = 2*j**2 + 5*j + 9. Let a be v(u). Factor 1/2*y**2 + a + 12*y.
(y + 12)**2/2
Suppose 12*t + 499 = 499. Let v(q) be the first derivative of -13 + t*q**2 + 1/4*q - 1/12*q**3. Suppose v(m) = 0. Calculate m.
-1, 1
Let m = -1313663/3 - -437888. Factor -32/3*s + m*s**4 + 4*s**2 + 8/3*s**3 - 64/3.
(s - 2)*(s + 2)*(s + 4)**2/3
Find w such that 7*w - 17/2*w**2 - 7/4*w**3 + 10 + 3/2*w**4 = 0.
-2, -5/6, 2
Let y be (1/48)/((3 - 1)*(-26)/(-52)). Let q(j) be the second derivative of j - y*j**4 + 1/8*j**3 + 0 + 1/2*j**2. Determine z so that q(z) = 0.
-1, 4
Let n(b) be the third derivative of -b**6/180 + b**5/30 + 2*b**4 + 80*b**3/3 - 168*b**2. Let m(v) be the first derivative of n(v). Let m(p) = 0. Calculate p.
-4, 6
Let k = -704 - -1874. Suppose k*p = 1173*p - 6. Factor 1/3*d + 0 + 4/3*d**p.
d*(4*d + 1)/3
Suppose -14920 + 1538462*u**2 - 4327*u - 134048*u - 344605*u**3 - 1955 - 1916687*u**2 = 0. Calculate u.
-15/41
Factor -1419 - 1462 - 1378 + 4142 + 30*a**2 - 381*a.
3*(a - 13)*(10*a + 3)
Let z = 201 + -198. Determine i so that -2*i**3 - 3*i**4 + z*i**4 - 8*i**2 + 6*i**4 - 6*i**3 = 0.
-2/3, 0, 2
Let q(d) be the second derivative of d**6/15 - 14*d**5/5 + 101*d**4/6 - 122*d**3/3 + 48*d**2 - 4886*d. Suppose q(k) = 0. What is k?
1, 2, 24
Suppose -95*w = -1382*w + 102*w + 1472 + 898. Factor -24/11 - 8/11*y**w - 38/11*y.
-2*(y + 4)*(4*y + 3)/11
Let u(r) = -r**3 - 15*r**2 + r + 34. Let b be u(-15). Let y = -1 + b. Let 17*f**5 + y*f**2 + 80*f**3 + 92*f**4 - 2*f**2 + 11*f**5 = 0. Calculate f.
-2, -1, -2/7, 0
Let k(o) be the first derivative of 2*o**3/27 - 8*o**2/9 - 22*o/3 + 2922. Determine q so that k(q) = 0.
-3, 11
Let x(y) = y**3 - 250*y**2 + 758*y - 504. Let b(w) = 4*w**3 - 1248*w**2 + 3788*w - 2520. Let u(d) = -5*b(d) + 24*x(d). Factor u(h).
4*(h - 2)*(h - 1)*(h + 63)
Let p be (-3*(-10)/(-9))/(-2). Let v(m) be the second derivative of 12*m + 0 + 1/4*m**5 + 0*m**2 + p*m**3 - 5/4*m**4. Factor v(l).
5*l*(l - 2)*(l - 1)
Suppose -5*f + 779 = 3*x, 0*f - 773 = -5*f - x. Factor -18*p**2 + 82 + 14*p + 76 - f.
-2*(p - 1)*(9*p + 2)
Let b be ((-652)/815)/((-2)/5). Let t be b + 18/15*(-110)/99. Suppose 0 + 1/3*d**2 - 1/3*d**3 + t*d = 0. What is d?
-1, 0, 2
Suppose -4*s + 166 + 1786 = 5*k, 0 = 5*s - k - 2440. What is q in 4*q**2 - s - 3*q**2 + 488 - 3*q = 0?
0, 3
Let d(l) be the second derivative of l**7/105 - 56*l**6/75 + 54*l**5/25 - 318*l. Factor d(g).
2*g**3*(g - 54)*(g - 2)/5
Let d(p) = -157*p**2 + 112*p + 309. Let x(j) = 71*j**2 - 56*j - 155. Let i(s) = 5*d(s) + 11*x(s). Find k such that i(k) = 0.
-10, -4
Let v(b) be the first derivative of b**6/9 + 2*b**5/15 - b**4/6 - 2*b**3/9 - 1293. Solve v(d) = 0 for d.
-1, 0, 1
Let v(h) be the first derivative of 343/6*h**6 + 580/3*h**3 - 28*h**2 + 2107/5*h**5 + 172 + 0*h - 987/2*h**4. Factor v(y).
y*(y + 7)*(7*y - 2)**3
Let q(h) = h**3 + 4*h**2 - 18*h + 19. Let m be q(-9). Let l = -1118/5 - m. Solve -3/5*g + 0*g**2 + l + 1/5*g**3 = 0.
-2, 1
Let a(m) be the first derivative of -36*m**5/5 + 753*m**4 - 61396*m**3/3 - 35306*m**2 + 129032*m + 4433. Find q, given that a(q) = 0.
-2, 1, 127/3
Suppose 432/11*l**2 - 2/11*l**4 + 140/11*l**3 + 436/11*l + 146/11 = 0. Calculate l.
-1, 73
Let a be (-2 - (-24 + 12))*1/2. Let x be ((-21)/15 + 1)*a/(-6). Suppose -13/3*y**2 - x*y**4 + 2*y**3 + 4*y - 4/3 = 0. Calculate y.
1, 2
Let j = -7942 + 7942. Let p(r) be the second derivative of 4*r**4 - 2/7*r**7 + 13*r - 3/5*r**5 - 4/3*r**6 + 8/3*r**3 + j + 0*r**2. Let p(g) = 0. Calculate g.
-2, -1/3, 0, 1
Solve -4695*a + 140*a**2 - 120*a**3 + 5*a**5 + 4695*a + 15*a**4 = 0.
-7, 0, 2
Factor -648/5 - 1562/5*k**2 - 250*k**4 + 820*k**3 - 2952/5*k.
-2*(k - 2)**2*(25*k + 9)**2/5
Let i = -2713/44 + 681/1