3/22 + 3346*d**2. Factor l(j).
(j + 1)**2*(j + 435)/11
Let m(a) be the first derivative of -3*a**5/20 - 17*a**4/4 - 11*a**3/3 - 825. Factor m(j).
-j**2*(j + 22)*(3*j + 2)/4
Let g = 357775 + -1788872/5. Factor 0 + g*x - 11/5*x**2.
-x*(11*x - 3)/5
Let v(z) be the first derivative of -197 + 507/4*z**3 + 0*z**2 + 0*z - 1443/16*z**4 - 77/20*z**5 - 1/24*z**6. Suppose v(j) = 0. Calculate j.
-39, 0, 1
Factor -76*a**3 + 0 - 748/5*a**2 - 372/5*a - 4/5*a**4.
-4*a*(a + 1)**2*(a + 93)/5
Let q(a) be the first derivative of -472*a**2 + 45*a**4 + 836/3*a**3 - 10/3*a**6 + 240*a - 203 - 292/5*a**5. Find f such that q(f) = 0.
-15, -2, 2/5, 1
Let z = 20101 + -20096. Let f(m) be the second derivative of 5*m + 1/8*m**3 + 1/8*m**4 + 0*m**2 + 0 + 3/80*m**z. Let f(n) = 0. Calculate n.
-1, 0
Let a be (-9)/(((-42)/(-980))/(1/(-2))). What is c in -5*c**2 - 81*c**2 + a*c**3 - 4*c**2 + 5*c**5 - 40*c**4 = 0?
0, 2, 3
Let i be 1/(-19)*(-19038)/4008. Factor -i*m**2 + 1/4 + 1/4*m**3 - 1/4*m.
(m - 1)**2*(m + 1)/4
Suppose -16 - 12 = -7*d. Suppose 0 = d*f - 3*a + a - 10, -13 = -5*f + 3*a. Factor 8/3*m - 10/9*m**f - 8/9.
-2*(m - 2)*(5*m - 2)/9
Let q(y) be the third derivative of -40*y**2 - 19/60*y**5 + 0 + 1/672*y**8 + 5/48*y**6 + 0*y - 2/3*y**3 - 2/105*y**7 + 7/12*y**4. Solve q(i) = 0.
1, 2
Let s(l) be the second derivative of 2*l**7/105 - 28*l**6/75 - l**5/20 + 7*l**4/6 + l**3/30 - 7*l**2/5 + 1779*l. Let s(h) = 0. What is h?
-1, -1/2, 1/2, 1, 14
Let g(a) = 10*a**2 - 4050*a - 4114. Let p(n) = 9*n**2 - 4057*n - 4111. Let o(k) = 5*g(k) - 6*p(k). Determine q, given that o(q) = 0.
-1, 1024
Let k be -16 + ((-390)/39 - -28). Determine y so that -2/7*y**k + 10/7*y - 12/7 = 0.
2, 3
Let k(h) be the third derivative of 204*h**2 + 20*h**3 - 1/60*h**6 + 0 + 19/30*h**5 - 16/3*h**4 + 0*h. Find n, given that k(n) = 0.
2, 15
Let r(p) = p**2 + 4*p - 8. Let l be r(-6). Suppose -22 = l*d - 150. Solve d*x**3 + 47*x**3 + 5*x**5 + 20*x**4 + 10*x**2 - 54*x**3 = 0 for x.
-2, -1, 0
Let m(l) be the third derivative of 0*l + 0 - 54*l**2 + 1/240*l**6 - 1/3*l**3 + 0*l**4 + 1/40*l**5. Let m(k) = 0. What is k?
-2, 1
Let o = 2011840/348993 + 2/348993. Find d such that o - 28/17*d + 2/17*d**2 = 0.
7
Let u(t) be the second derivative of -t**6/40 - 813*t**5/40 - 18495*t**4/4 - 18225*t**3 + 2*t - 330. Factor u(r).
-3*r*(r + 2)*(r + 270)**2/4
Let x(h) be the third derivative of -50/3*h**3 - 11/60*h**6 + 0*h - 47/20*h**5 - 3 - 55/6*h**4 - 1/210*h**7 + 19*h**2. Determine k so that x(k) = 0.
-10, -1
Let t(o) = 5*o**3 - 195*o**2 + 787*o - 14. Let u(v) = -2*v**3 + 66*v**2 - 262*v + 4. Let z(d) = -2*t(d) - 7*u(d). Factor z(f).
4*f*(f - 13)*(f - 5)
Let b(r) be the third derivative of -r**8/840 + 17*r**7/525 - 73*r**6/300 + 71*r**5/150 + 37*r**4/30 - 88*r**3/15 - 1044*r**2. Suppose b(w) = 0. What is w?
-1, 1, 2, 4, 11
Let x be (88/11)/(16/4). Determine i so that 4/3*i**x + 0 + 0*i = 0.
0
Let d be (9492/(-80))/(5/(-20)). Let s = d - 474. Find p, given that 6/5 - 3*p**2 - s*p - 6/5*p**3 = 0.
-2, -1, 1/2
Let k(b) = -4*b**3 - 17*b**2 + 28*b - 19. Let f(o) be the first derivative of -o**4/2 - o**3/3 - o - 122. Let n(j) = 3*f(j) - k(j). Factor n(g).
-2*(g - 4)*(g - 2)*(g - 1)
Let i = 816 + -814. Let -5*a**3 - 27 + 181*a**5 + 100*a + 4*a**i + 20*a**4 - 186*a**5 - 33*a**2 - 41*a**2 - 13 = 0. What is a?
-2, 1, 2
Let b(q) be the first derivative of 2*q**5/15 - 49*q**4/3 + 1318*q**3/3 + 20776*q**2/3 + 89888*q/3 - 1303. Factor b(n).
2*(n - 53)**2*(n + 4)**2/3
Let h be 4/5 + 3575/(-1750). Let s = 44/35 - h. Let -1/2*z**2 + s - 2*z = 0. What is z?
-5, 1
Let r(h) be the first derivative of -h**6/2 + 201*h**5/5 - 4005*h**4/4 + 7209*h**3 - 21060*h**2 + 24300*h - 7607. Determine p, given that r(p) = 0.
1, 3, 30
Let t = 728425/4 - 182104. Determine w, given that -3/4*w**5 - 39/8*w**2 + t*w + 9/4*w**3 + 0 + 9/8*w**4 = 0.
-2, 0, 1, 3/2
Suppose -29*c + 33*c = -8. Let i be (5/15*1)/(c/6). Let a(h) = h - 1. Let y(j) = -4*j**3 + 4*j**2 + 4*j + 28. Let p(v) = i*y(v) - 16*a(v). Solve p(g) = 0.
-1, 3
Find b such that 188642*b**2 - 3*b**5 - 188642*b**2 - 3*b**4 + 6*b**3 = 0.
-2, 0, 1
Let -9/4*c + 15/8*c**5 + 39/8*c**4 + 0 - 39/8*c**2 + 3/8*c**3 = 0. What is c?
-2, -1, -3/5, 0, 1
Let b be 96/(-240)*-5*17. Suppose -42 = -b*z + 60. Suppose -1/3*t**4 - 1/6*t**z + 0 + 0*t**2 + 0*t - 1/6*t**5 = 0. Calculate t.
-1, 0
Let d(j) be the second derivative of j**6/70 - 27*j**5/140 + 25*j**4/28 - 27*j**3/14 + 15*j**2/7 + 907*j. Factor d(n).
3*(n - 5)*(n - 2)*(n - 1)**2/7
Let k(d) be the third derivative of d**6/120 - d**5/30 - d**4/3 + d**3/2 - 40*d**2. Let b be k(4). Factor 7/3*s + 5/3*s**3 - 1/3*s**4 - 2/3 - b*s**2.
-(s - 2)*(s - 1)**3/3
Let w(f) be the third derivative of f**7/630 - f**6/360 - 3*f**5/5 - 9*f**4/2 + 24*f**3 - 35*f**2 + 18. Determine h, given that w(h) = 0.
-6, 1, 12
Let l(w) be the second derivative of -w**6/6 - 29*w**5/2 - 70*w**4/3 + 145*w**3/3 + 285*w**2/2 - 439*w. Suppose l(f) = 0. What is f?
-57, -1, 1
Suppose -58*w**4 + 168*w**2 - 51*w**4 - 58*w**4 + 181*w**4 + 40*w + 102*w**3 = 0. What is w?
-5, -2, -2/7, 0
Let a be 6/(-14) - (3610/1050 - 6). Let h(u) be the second derivative of -10*u - 128/5*u**2 + a*u**3 - 1/15*u**4 + 0. Factor h(g).
-4*(g - 8)**2/5
Factor 75*m + 3/5*m**3 - 12*m**2 - 150.
3*(m - 10)*(m - 5)**2/5
Let p(m) be the third derivative of m**7/70 - 17*m**5/10 + 12*m**4 - 63*m**3/2 + 1803*m**2 - 3*m. Suppose p(v) = 0. Calculate v.
-7, 1, 3
Solve 0 - 1/6*v**4 - 28/3*v**3 + 58/3*v**2 + 0*v = 0 for v.
-58, 0, 2
Suppose 0 = -30*o - 49*o - 78 + 236. Let f(g) be the second derivative of 1/6*g**o + 1/12*g**4 - 4*g - 1/6*g**3 + 0 - 1/60*g**5. Factor f(y).
-(y - 1)**3/3
Find t, given that 0 + 27/2*t**3 - 2*t**4 - 17/2*t**2 - 3*t = 0.
-1/4, 0, 1, 6
Let b = 126244/455 + -1942/7. Let o(w) be the second derivative of 0 + b*w**5 + 1/195*w**6 + 4/39*w**3 + 1/13*w**4 + 1/13*w**2 - 8*w. Factor o(x).
2*(x + 1)**4/13
Let i(t) be the first derivative of t**4/22 + 10*t**3/33 - 2*t**2/11 - 48*t/11 - 1875. What is n in i(n) = 0?
-4, -3, 2
Let m(g) be the third derivative of -g**6/40 + 31*g**5/20 + 4*g**4 - 7*g**2 - 10*g - 36. What is o in m(o) = 0?
-1, 0, 32
Let n = -19999 - -20001. Factor 5/2*m**3 + 29/4*m**n + 8*m + 3 + 1/4*m**4.
(m + 1)**2*(m + 2)*(m + 6)/4
Suppose 0 = -5*v + 5*w + 25, 5*v - 31 = -47*w + 49*w. Factor v + 146*a**2 - 147*a**2 + 3*a - 9.
-(a - 2)*(a - 1)
Let m be 270/38 - 1*(-14)/(-5)*(-195)/(-78). Factor -m*q**2 + 54/19*q - 100/19.
-2*(q - 25)*(q - 2)/19
Suppose -65*i - 56*i - 27*i = 26*i. Factor 3/7*z**4 - 3*z + i + 3*z**3 - 3/7*z**2.
3*z*(z - 1)*(z + 1)*(z + 7)/7
Let 3/5*p**2 + 69/5 - 72/5*p = 0. What is p?
1, 23
Let d(i) be the third derivative of -66*i**2 + 0*i + 5/48*i**8 - 10/3*i**5 + 29/12*i**6 + 0 + 5/3*i**3 + 35/24*i**4 - 17/21*i**7. Find n such that d(n) = 0.
-1/7, 1, 2
Let k(z) be the second derivative of -3*z**4 + 0 + 0*z**3 - 1/15*z**6 - 11/10*z**5 + 0*z**2 + 51*z. Find y such that k(y) = 0.
-9, -2, 0
Let f be 10 + (-3 - 0) + 2/6*2079/(-105). Determine c, given that f*c**2 + 6/5 - 8/5*c = 0.
1, 3
Let b be (35*7/1323)/(10/12). Let j = -253 - -255. Solve b*h**4 + 8*h**j - 12*h - 20/9*h**3 + 6 = 0 for h.
1, 3
Let h(n) = 5*n**5 - 5*n**4 - 14*n**3 - 4*n - 8. Let p(l) be the first derivative of l**4/4 + l**2/2 + 2*l - 42. Let a(c) = -h(c) - 4*p(c). Factor a(b).
-5*b**3*(b - 2)*(b + 1)
Let i(f) = -53*f + 958. Let w be i(18). Suppose -4*c - w = 13*k - 17*k, 0 = 4*k - 3*c - 6. Factor -56/15*s - 16/15 - 6/5*s**k - 4*s**2.
-2*(s + 2)*(3*s + 2)**2/15
Let u = 177 + -153. Let -7*o + u*o**2 + 3*o**3 - 10*o + 14*o - 24 = 0. Calculate o.
-8, -1, 1
Let v(i) = i**3 - 22*i**2 - 24*i + 26. Let w(s) = -s + 7. Let k be w(-16). Let y be v(k). Let y*a + a**3 + 2*a**2 + 0*a + 3*a - 5*a = 0. Calculate a.
-1, 0
Let a = 17554 - 842591/48. Let m(y) be the third derivative of 0*y**3 + 1/420*y**7 - 1/64*y**6 + 1/40*y**5 + 0 + 0*y + a*y**4 - 10*y**2. Factor m(n).
n*(n - 2)**2*(4*n + 1)/8
Let m(t) = -t**3 - 7*t**2 - t - 5. Let o be m(-7). Let r = 1/4099853 + 139394993/36898677. Determine y so that -14/9*y**o - 2 + r*y - 2/9*y**3 = 0.
-9, 1
Let h(i) be the third derivative of i**5/15 - 65*i**4/6 + 124*i**3 + 1875*i**2. Let h(s) = 0. Calculate s.
3, 62
Let n(m) be the first derivative of m**3/30 - 226*m**2/5 + 102152*m/5 - 2245. Factor n(w).
(w - 452)**2