2*j**5/15 + 13*j**4/6 - 20*j**3/3 + j**2 + 359*j. Factor u(q).
-4*(q - 2)*(q - 1)*(q + 5)
Let r(c) = 14*c**4 - 10*c**3 - 120*c**2 + 12*c - 3. Let q(i) = 95*i**4 - 70*i**3 - 840*i**2 + 80*i - 20. Let b(n) = 3*q(n) - 20*r(n). Solve b(k) = 0.
-4, 0, 6
Suppose -12*n + 4 = -11*n. Let y be (-33)/(-198) - 1/(-6)*1. Determine h so that 1/3*h**3 + 0*h - 1/3*h**n - 1/3*h**5 + y*h**2 + 0 = 0.
-1, 0, 1
Let k(l) be the third derivative of -l**5/210 - 5*l**4/84 + 50*l**3/21 + 97*l**2 - l. Find p, given that k(p) = 0.
-10, 5
Factor -117/7*x + 34 - 1/7*x**2.
-(x - 2)*(x + 119)/7
Let w(r) be the third derivative of 7*r**5/10 + 193*r**4/36 + 4*r**3/3 - 2*r**2 - 15*r + 148. Factor w(z).
2*(z + 3)*(63*z + 4)/3
Let r(y) be the first derivative of -y**3 - 1101*y**2/2 + 1565. Factor r(l).
-3*l*(l + 367)
Let d = 123 + -75. Suppose 11*r = 5*r + d. Solve 48 + 6*j**2 + 32*j + r*j**2 - 11*j**2 - 8*j = 0.
-4
Let o be (8/20)/(4/40). Suppose -o - 24 = -7*f. Let 10*n**2 + 2*n**f + 5*n**3 - 13*n**4 + 6*n**4 = 0. Calculate n.
-1, 0, 2
Factor -4*w - 55*w**2 - 22*w**3 - 7*w**3 - w**4 - 234 + 234 - 23*w.
-w*(w + 1)**2*(w + 27)
Let w(i) be the second derivative of 3/5*i**2 + 1/5*i**4 - 3/25*i**6 + 3/25*i**5 - 3/5*i**3 + 1/35*i**7 + 0 + 35*i. Determine h, given that w(h) = 0.
-1, 1
Let v be (-2)/((-176)/33) + 26/16. Factor -58*x**3 - 6875*x**v + 66 - 257 - 29 + 2440*x + 663*x**3.
5*(x - 11)*(11*x - 2)**2
Let b(z) be the third derivative of 49*z**6/48 - 119*z**5/24 + 475*z**4/48 - 125*z**3/12 + 1015*z**2. Factor b(j).
5*(j - 1)*(7*j - 5)**2/2
Suppose -15 + 31 = 4*b. Suppose b = 2*s - 4. Factor 1961 - 4*l**3 - 1961 + 4*l - s*l**4 + 4*l**2.
-4*l*(l - 1)*(l + 1)**2
Suppose -55*c - 186 + 351 = 0. Let z(q) be the first derivative of 19 - 4*q**2 + 8*q + 2/3*q**c. Factor z(m).
2*(m - 2)**2
Let q be 123/9*186/620 + (-1)/10. Let l(g) be the second derivative of 1/18*g**q + 33*g + 0 + 0*g**2 - 2/9*g**3. Suppose l(k) = 0. Calculate k.
0, 2
Factor 0 + 439/3*n**2 - 1/3*n**3 + 0*n.
-n**2*(n - 439)/3
Suppose 0 = -8*z - 10 + 34. Let s(y) = -1 - 3*y**z - 43*y**2 + 5 + 44*y**2. Let f(b) = 12*b**3 - 3*b**2 - 15. Let a(j) = 4*f(j) + 15*s(j). Factor a(v).
3*v**2*(v + 1)
Let k be (3 - 1)*((-5)/(-2) - 1). Suppose -171 - 18*j + 161 - 6*j**2 - 7*j**k + 9*j**3 = 0. What is j?
-1, 5
Let x(z) be the second derivative of -3/2*z**2 + 0*z**3 + 0 - 29*z + 7/12*z**4. Let o(d) = -155*d**2 + 65. Let m(l) = 2*o(l) + 45*x(l). Factor m(j).
5*(j - 1)*(j + 1)
Let y(x) be the third derivative of -x**7/42 + 7*x**6/4 - 10*x**5/3 - 35*x**4/4 + 205*x**3/6 + 1230*x**2. Factor y(s).
-5*(s - 41)*(s - 1)**2*(s + 1)
Let x(m) = 9*m + 4. Let h be x(-3). Let j = h - -32. Factor j*p**2 + 3*p - 91 + 91.
3*p*(3*p + 1)
Suppose n + 17 - 22 = 0. Let z be (3/n)/(-3)*-10. Factor -6*d + 15*d**z - 28*d**2 + 16*d**2.
3*d*(d - 2)
Let q(s) = 2*s + 35. Let b be q(-12). Let u(i) = i**2 - 13*i + 24. Let m be u(b). What is o in -7 + o**3 + 2 - 4*o**m + 4*o + 5 = 0?
0, 2
Let z(h) be the second derivative of -h**7/42 + 749*h**6/30 - 142111*h**5/20 + 232377*h**4/4 - 161820*h**3 + 207576*h**2 - 6411*h. What is g in z(g) = 0?
1, 3, 372
Let u(p) = p**3 + 18*p**2 - 2*p - 6. Let m be u(-18). Factor 26 + 66*q - 2*q**3 + 8 - 4*q**3 + 4*q**3 + m*q**2.
-2*(q - 17)*(q + 1)**2
Let f(v) = -79*v**3 - 174*v**2 - 10446*v - 205379. Let u(h) = -184*h**3 - 347*h**2 - 20893*h - 410758. Let j(k) = -14*f(k) + 6*u(k). Factor j(d).
2*(d + 59)**3
Let x be 251 - 2 - ((-100)/(-5))/5. Factor -237*l**2 - 2*l**5 + 14*l**3 + 0*l**4 + 4*l**4 + x*l**2.
-2*l**2*(l - 4)*(l + 1)**2
Suppose -64*y + 61 = -63*y. Suppose 20*a - 19 = y. Factor 3/2 + 1/2*w**5 - 11/2*w - 3*w**3 + 7*w**2 - 1/2*w**a.
(w - 1)**4*(w + 3)/2
Let p(i) be the third derivative of 243*i**6/320 + 567*i**5/40 + 441*i**4/4 + 1372*i**3/3 - 8739*i**2. Factor p(w).
(9*w + 28)**3/8
Suppose 4*c = -3*r - 44, -23*r + 44*r = 2*c + 112. Let 110/7*f**3 + 0 - 41/7*f**r + 4/7*f**5 + 0*f - 25/7*f**2 = 0. Calculate f.
0, 1/4, 5
Let m = 679 + -375. Suppose 0 = -v + 306 - m. Solve -1/5*n**v + 4/5*n + 1 = 0 for n.
-1, 5
Let q(j) be the third derivative of 28*j**2 - 1/210*j**5 - 1/21*j**4 + 5/21*j**3 + 0 + 0*j. Factor q(w).
-2*(w - 1)*(w + 5)/7
Let l be 0/(3/1)*1. Let w be (19/(-57))/(l + 2/(-12)). Factor -5/4 + a + 1/4*a**w.
(a - 1)*(a + 5)/4
Suppose 8*m - 12*m + 1136 = 0. Let -72 + 4*r**2 + m - 54 - 84*r - 78 = 0. Calculate r.
1, 20
Let u be (14/5)/(-7)*((-78)/96)/13. Let x(v) be the second derivative of -1/24*v**4 + u*v**5 - 19*v + 0*v**2 + 0 - 1/6*v**3. Factor x(m).
m*(m - 2)*(m + 1)/2
Suppose -2770 = -4*i - 2686. Factor -i + 3 + k**2 + 11*k + 3 - 4*k + 7.
(k - 1)*(k + 8)
Let l(q) be the third derivative of 0*q**3 + 1/15*q**5 - 1/42*q**7 + 0 - 1/20*q**6 + 1/3*q**4 + 8*q - 1/336*q**8 + q**2. Let l(j) = 0. What is j?
-2, 0, 1
Let d = 1330 + -1330. Let m(b) be the first derivative of 3/2*b**4 + d*b + b**5 + 0*b**2 + 1/3*b**3 + 12. Find w, given that m(w) = 0.
-1, -1/5, 0
Let m(b) be the third derivative of 5*b**8/1008 - 401*b**7/126 + 6733*b**6/12 - 9800*b**5/9 - 50000*b**4/9 - 16*b**2 + 3*b - 98. Solve m(t) = 0 for t.
-1, 0, 2, 200
Let u(m) be the third derivative of m**6/600 - m**5/75 - 27*m**4/40 - 6*m**3 + 1144*m**2. Let u(w) = 0. Calculate w.
-5, -3, 12
Let c be (-4)/10*(-140)/119. Let o = 195257/17 + -11485. Suppose -18/17*k**3 + c*k**2 + 0*k + o*k**4 + 0 - 2/17*k**5 = 0. What is k?
0, 1, 4
Let r = -178 + 183. Determine l, given that -10*l**r - 12*l**2 - 51*l**4 - 5*l**5 - 156*l**3 + 108*l**3 = 0.
-2, -1, -2/5, 0
Let s be 3/51*-2 - (45 - 34356/714). Factor -s*i**3 - 69/5*i - 18/5 - 66/5*i**2.
-3*(i + 1)*(i + 3)*(5*i + 2)/5
Let r(w) be the first derivative of w**4/48 + 2*w**3/3 - 17*w**2/8 + 18*w + 11. Let l(o) be the first derivative of r(o). Solve l(f) = 0.
-17, 1
Let d(a) be the third derivative of -a**5/210 - 181*a**4/84 + 26*a**3/3 - 300*a**2 - 3*a. Solve d(t) = 0.
-182, 1
Let f be 83 - (1 + 1)/((-4)/2). Solve -16 + 4*p**3 - 39*p - 20*p**2 + f*p - 13*p = 0 for p.
1, 2
Let t(u) be the first derivative of -16*u**5/5 + 42*u**4 - 99*u**3 - 378*u**2 - 324*u + 576. Solve t(p) = 0 for p.
-3/4, 6
Let p(t) be the third derivative of t**5/15 + 61*t**4/2 - 368*t**3/3 + 990*t**2. Let p(a) = 0. What is a?
-184, 1
Let -551372 - 16*y**2 + 14*y**2 - 2142*y + 434*y - 724*y - 187956 = 0. What is y?
-608
Let y(j) = 17*j**2 - 32*j + j**3 - 40*j**2 + 7*j + 95 - 45*j. Let c(t) = 2*t**3 - 22*t**2 - 70*t + 94. Let r(h) = 3*c(h) - 4*y(h). Factor r(x).
2*(x - 1)*(x + 7)**2
Let j(g) = 549*g - 26899. Let w be j(49). Factor -4*m - 22 - 2/11*m**w.
-2*(m + 11)**2/11
Let o(n) be the third derivative of -n**6/720 + n**5/15 - 7*n**4/16 - 1546*n**2. Factor o(b).
-b*(b - 21)*(b - 3)/6
Let z(o) be the third derivative of o**9/302400 - o**7/6300 + o**5/60 - 44*o**3/3 + 132*o**2. Let w(x) be the third derivative of z(x). Factor w(t).
t*(t - 2)*(t + 2)/5
Factor -154 + 478 - 177*z - 255*z**2 - 122 - 115 + 9*z**3.
3*(z - 29)*(z + 1)*(3*z - 1)
Let z(v) be the second derivative of 15*v**2 - 95/6*v**3 - 35/4*v**4 - 2*v + v**5 + 4. Factor z(s).
5*(s - 6)*(s + 1)*(4*s - 1)
Solve -3*r**5 - 3285*r**4 + 44*r**2 - 66*r**3 + 3290*r**4 + 28*r**5 - 8*r = 0.
-2, 0, 2/5, 1
Let n(w) be the first derivative of -w**3/6 + 103*w**2/2 - 539. Factor n(y).
-y*(y - 206)/2
Suppose 3*x + 3 = k + 33, x - 10 = -2*k. Let r be 52/65*x/36. Solve 0 - 2/9*p - r*p**4 + 2/9*p**3 + 2/9*p**2 = 0 for p.
-1, 0, 1
Let z(t) be the third derivative of 0*t - 63*t**2 - 7/2*t**4 - 1/20*t**5 - 98*t**3 + 0. Factor z(s).
-3*(s + 14)**2
Let i(q) = q**2 - 28*q + 28. Let t be i(28). Suppose t*j - 22*j - 12 = 0. Find x, given that 0*x - 2/5*x**5 - 6/5*x**4 + 0 - 4/5*x**3 + 0*x**j = 0.
-2, -1, 0
Let w(o) be the third derivative of -1/270*o**5 + 0*o + 0 + 0*o**3 - 22*o**2 + 0*o**4. Determine q, given that w(q) = 0.
0
Factor 134*y**2 - 19 + 188*y + 175*y - 13 + 8*y**3 - 269*y.
2*(y + 1)*(y + 16)*(4*y - 1)
Suppose 2*n - y - 20 = 3*y, -2*y - 10 = 0. Suppose -8*a + 1 + 15 = n. Let -2*l**a + l**2 - 69*l + 69*l = 0. What is l?
0
Let g(z) = -2978*z - 5954. Let k be g(-2). Let 12/7 - 34/7*x + k*x**3 - 32/7*x**2 = 0. Calculate x.
-1, 2/7, 3
Let m(x) be the third derivative of -x**5/15 + 3*x**4 + 38*x**3/3 + 1319*x**2. Factor m(a).
-4*(a - 19)*(a + 1)
Suppose 249 = 15*x + 204. Suppose 3*w + 15 = x*q, 0 = 4*w - 3*w + 3. Determine 