/7*d**3 + 0*d + n.
d**2*(d - 3)/7
Let d(m) be the third derivative of 0*m + 137*m**2 + 17/48*m**4 + 0*m**3 - 1/240*m**5 + 0. Determine a so that d(a) = 0.
0, 34
Let r(p) = 8*p**3 + 93*p**2 - 101*p - 13. Let l(t) = 4*t**3 + 46*t**2 - 50*t - 6. Suppose 18*g + 152 = 386. Let d(x) = g*l(x) - 6*r(x). Factor d(o).
4*o*(o - 1)*(o + 11)
Let h(a) = -4*a**2 + 689*a + 4282. Let b be h(-6). Factor 0 + 1/4*l**b + 45/4*l**2 - 25/2*l - 3*l**3.
l*(l - 5)**2*(l - 2)/4
Let a(u) be the third derivative of -u**5/210 - 233*u**4/84 - 232*u**3/21 - 2618*u**2. Factor a(j).
-2*(j + 1)*(j + 232)/7
Suppose -3*l - i = -15, 9*l + 1 = 10*l - i. Let j(y) be the third derivative of 1/40*y**6 + 0 + 0*y + 0*y**l + 0*y**3 + 0*y**5 + 8*y**2. Factor j(g).
3*g**3
Let b = -2161/94 + 4369/188. Factor 7/4*o**4 - 11/4*o + 5/2*o**3 - 5/4 + b*o**5 - 1/2*o**2.
(o - 1)*(o + 1)**3*(o + 5)/4
Find y such that 165/4 - 3/8*y**2 + 51/8*y = 0.
-5, 22
Find u, given that 1683/2*u**4 + 546*u - 429*u**3 - 54*u**5 - 1377/2*u**2 - 90 = 0.
-1, 1/4, 2/3, 15
Let s = 3122 + -3118. Let b(h) be the second derivative of 0 + 13/4*h**5 - h**6 + 35/6*h**s + 5/2*h**3 - 23*h + 0*h**2. Suppose b(r) = 0. Calculate r.
-1/2, -1/3, 0, 3
Let h(c) be the second derivative of -c**5/15 + 11*c**4 - 726*c**3 - 109*c**2 + 44*c. Let s(d) be the first derivative of h(d). Factor s(z).
-4*(z - 33)**2
Determine o so that 36*o**3 - 2/3*o**2 + 0 - 36*o + 2/3*o**4 = 0.
-54, -1, 0, 1
Let p(j) be the second derivative of -j**5/190 - 22*j**4/57 - 41*j**3/57 + 86*j**2/19 + j + 175. Solve p(t) = 0 for t.
-43, -2, 1
Let h = 128 + -125. Determine f, given that -12*f**4 + f + 4*f**4 - 6*f**h + 5*f + 0*f**3 - 2 + 10*f**2 = 0.
-1, 1/4, 1
Let c(y) be the second derivative of -y**3 + 7/6*y**4 - 22*y + 1/15*y**6 + 4 + 0*y**2 - 1/2*y**5. Factor c(i).
2*i*(i - 3)*(i - 1)**2
Let q(x) be the first derivative of -26/11*x**2 - 37/44*x**4 - 1/66*x**6 - 16/11*x - 2/11*x**5 + 26 - 64/33*x**3. Find b, given that q(b) = 0.
-4, -2, -1
Find z, given that 35/4*z**3 - 37/4*z**2 + 9 + 1/4*z**4 - 35/4*z = 0.
-36, -1, 1
Let w(m) be the first derivative of -1/2*m**4 - 26 - m - 1/10*m**5 + 3*m**3 - 5*m**2. Let i(c) be the first derivative of w(c). Factor i(r).
-2*(r - 1)**2*(r + 5)
Let i(x) = -3*x + 106. Let t be i(34). Let w be -4*6/t*4/(-66). Solve 0 - 6/11*c**2 + w*c - 24/11*c**3 - 14/11*c**4 = 0.
-1, 0, 2/7
Let x(r) be the second derivative of 841*r**7/294 - 377*r**6/30 - 1031*r**5/20 - 3173*r**4/84 + 272*r**3/21 - 10*r**2/7 + 2929*r + 1. Find t such that x(t) = 0.
-1, 2/29, 5
Let a(l) be the second derivative of 2*l - 1/60*l**6 + 1/168*l**7 + 1 + 0*l**2 + 0*l**3 + 1/80*l**5 + 0*l**4. Solve a(n) = 0 for n.
0, 1
Suppose -2*f = f + 4*l + 14, 5*f - 2*l = 20. Factor 3 + 2*o**f + 1 - 8*o**4 - 5 + 7*o**4.
-(o - 1)**2*(o + 1)**2
Find g such that 5/2 - 11/2*g - 1/2*g**3 + 7/2*g**2 = 0.
1, 5
Let z(u) = u**2 + 926*u + 12774. Let t be z(-14). Factor -t + 3/2*g**3 - 21/2*g - 3*g**2.
3*(g - 4)*(g + 1)**2/2
Suppose -129*q - 132*q + 4698 = 0. Let f(l) be the second derivative of 0 + q*l - 4*l**3 - 1/3*l**4 - 18*l**2. Factor f(y).
-4*(y + 3)**2
Let o(w) be the first derivative of 8/35*w**5 + 0*w - 4/7*w**2 - 8/21*w**3 + 3/14*w**4 + 46 + 1/21*w**6. Solve o(t) = 0 for t.
-2, -1, 0, 1
Let r(f) = -67*f**3 - 2*f**2 - 4*f + 1. Let m be r(-2). Factor -24 + 25*g**3 - 5*g**5 + 5*g**4 + 532*g**2 - m*g**2 + 4 - 40*g.
-5*(g - 2)**2*(g + 1)**3
Suppose 3*r - a - 14 = 0, -5*a = -5*r + 36 + 4. Suppose -8*v = -r*v - 10. Solve 0*q - 13*q + 5*q + v*q - q**2 = 0.
-6, 0
Let w = 12 + -6. Let p(i) be the first derivative of -7*i**4 + 2*i**2 - 8 + w*i**4 + 0*i**4. Factor p(o).
-4*o*(o - 1)*(o + 1)
Factor -1/2*o - 24864*o**3 + 0 + 445/2*o**2 + 24642*o**4.
o*(o - 1)*(222*o - 1)**2/2
Let p(m) be the second derivative of 0*m**3 + 6*m - 4 + 0*m**2 - 3/4*m**5 + 5/6*m**4. Let p(y) = 0. What is y?
0, 2/3
Suppose -198/5 + 3/5*s**2 - 57/5*s = 0. What is s?
-3, 22
Let a be -10*(14 - (17 - 7)). Let z = a + 42. Let -1/2*w**z + 0 + w = 0. What is w?
0, 2
Let i(f) be the first derivative of -f**5 - 30*f**4 + 1317. Suppose i(u) = 0. Calculate u.
-24, 0
Let p(f) be the first derivative of f**3/3 - 39*f**2/2 - 172*f - 883. Factor p(y).
(y - 43)*(y + 4)
Suppose -2/7*j**5 - 74/7*j**4 - 156/7*j + 74/7*j**2 + 158/7*j**3 + 0 = 0. Calculate j.
-39, -1, 0, 1, 2
Let l(c) = -31*c - 459. Let k be l(-15). Let y(s) be the first derivative of 3/4*s**4 - 1/10*s**k + 0*s**2 + 0*s + 3/5*s**3 + 3/25*s**5 - 10. Factor y(b).
-3*b**2*(b - 3)*(b + 1)**2/5
Factor 4/9*j**4 + 0 - 199/9*j**3 + 0*j - 50/9*j**2.
j**2*(j - 50)*(4*j + 1)/9
Let t be -6*(69/(-90) + 188/705). Factor 2/5*u + 0 + 2/5*u**t + 4/5*u**2.
2*u*(u + 1)**2/5
Let s(p) be the second derivative of p**7/4620 - p**6/396 - p**5/110 - 125*p**3/6 + 32*p. Let g(q) be the second derivative of s(q). What is k in g(k) = 0?
-1, 0, 6
Suppose 0 = o + 3*y - 903, -5*y = -5*o + 6*o - 893. Factor -b**2 - 46 - o - 803 - 90*b - 106 - 152.
-(b + 45)**2
Let x(i) be the second derivative of 161*i + 0 - 1/4*i**4 + 3/2*i**2 - 1/24*i**3 + 1/80*i**5. Factor x(w).
(w - 12)*(w - 1)*(w + 1)/4
Let q(b) = -b**2 - 28*b - 177. Let d be q(-21). Let a be (-77)/(-21) - 10/d. Factor 16/3*o**2 + 0*o + 0 - 50/3*o**5 + 140/3*o**a - 88/3*o**3.
-2*o**2*(o - 2)*(5*o - 2)**2/3
Suppose -7*r + 9*r = 4. Suppose 425*o - 1405 = 420*o. Factor -o*u + 20 - 92*u**2 + 21*u - 26*u**r + 963*u**2.
5*(13*u - 2)**2
Let m(t) = 7*t**4 + 21*t**3 + 48*t**2 - 14*t - 282. Let j(h) = h**4 + h**3 - h**2 + 3*h + 1. Let v(r) = 6*j(r) - m(r). Factor v(q).
-(q - 2)*(q + 4)**2*(q + 9)
Find j such that -536/9*j**2 + 0 + 10/9*j**3 - 24*j = 0.
-2/5, 0, 54
Let j(q) be the first derivative of q**7/420 + 11*q**6/180 - 13*q**5/30 + 13*q**3 - 2*q - 199. Let p(a) be the third derivative of j(a). Factor p(o).
2*o*(o - 2)*(o + 13)
Suppose -369 - 206 = -499*w + 423. Factor 56/3*z**3 - 100/3*z + 2*z**4 + 0 + 110/3*z**w.
2*z*(z + 5)**2*(3*z - 2)/3
Let j(y) = -y**5 - 2*y**4 + 19*y**2 + y. Let l(a) = 3*a**5 - 150*a**4 + 604*a**3 - 638*a**2 - 2*a. Let o(i) = -6*j(i) - 3*l(i). Suppose o(g) = 0. What is g?
0, 2, 150
Suppose 0 = -b + 2*p - 28, 3*p = -5*b + 44 - 197. Let s = -28 - b. Suppose 3*z**2 + 2*z**2 - 3*z - 3*z**s - 5*z + 8 = 0. What is z?
2
Let n = 57 + -52. Let m(c) = -10*c**4 + 10*c**3 + 5*c**2. Let o(d) = -d**4 - d**3 + d**2. Let r(s) = n*o(s) - m(s). Let r(v) = 0. What is v?
0, 3
Let o be 2/7 + 1192/140. Let g = 235273/588220 + 3/117644. Find a, given that -o*a - g*a**2 - 242/5 = 0.
-11
Suppose -2196*m = -2208*m + 24. Let y(o) be the first derivative of -4/3*o**3 + 9 + 0*o + m*o**2. Suppose y(j) = 0. Calculate j.
0, 1
Let z be (-5 + (-216)/(-44))/((-99)/363). Suppose -1/3*t**3 - z*t + 2 - 4/3*t**2 = 0. Calculate t.
-3, -2, 1
Let i be (4/3)/((-28)/(-63)). What is o in 49*o**3 - 36*o**5 + 26*o**i - 35*o**4 - 343*o + 339*o = 0?
-2, -2/9, 0, 1/4, 1
Let v(z) be the first derivative of z**6/3060 - z**5/170 + 2*z**4/51 - 308*z**3/3 + 236. Let m(o) be the third derivative of v(o). Factor m(r).
2*(r - 4)*(r - 2)/17
Let p = 798 + -791. Let s(x) = -2*x**3 + 14*x**2 + 8*x - 54. Let v be s(p). Let -4/5 + 6/5*g + 2/5*g**v - 6/5*g**3 + 2/5*g**4 = 0. What is g?
-1, 1, 2
Let l(x) = -179*x - 47. Let f be l(-12). Let h = -14683/7 + f. Solve 21*y**3 - 42*y**2 - 12/7*y + h = 0 for y.
-2/7, 2/7, 2
Let j(t) = -3*t**3 + 14*t**2 - 5*t - 14. Let z(o) = 4*o**3 - 16*o**2 + 4*o + 12. Let l(h) = -3*j(h) - 2*z(h). Let l(a) = 0. Calculate a.
-1, 2, 9
Let h(d) be the first derivative of d**4/8 - 41*d**3/6 + 79*d**2/4 - 39*d/2 + 6672. Factor h(p).
(p - 39)*(p - 1)**2/2
Factor -15/2*k**2 + 0 - 1/6*k**3 + 0*k.
-k**2*(k + 45)/6
Factor -99*k**2 - 3*k**3 - 2585*k - 378*k**2 + 5535*k - 2470*k.
-3*k*(k - 1)*(k + 160)
Suppose -113*g + 450 = -23*g. Factor 3/2*j**2 - 2 + g*j + 5/4*j**4 - 17/4*j**3.
(j - 2)**2*(j + 1)*(5*j - 2)/4
Factor 154/9 - 2/9*p**3 - 190/9*p + 38/9*p**2.
-2*(p - 11)*(p - 7)*(p - 1)/9
Suppose 5*h = 5*k - 35, 4*h - 15 = -4*k - 19. Let p(o) be the second derivative of 0 + 0*o**k - 1/3*o**4 + 2*o**2 + 4*o. Determine v so that p(v) = 0.
-1, 1
Suppose -7607*f + 90*f**3 - 35*f**4 + 34*f**5 - 100*f**2 - 29*f**5 + 7647*f = 0. What is f?
0, 1, 2
Let u(s) be the second derivative of -s**7/280 + 11*s**6/40 - 49*s**3/3 - 2*s - 24. Let o(p) be the second derivative of u(p). Suppose o(w) 