+ 146*y**3/3 + 9*y**2 + 4. Let k(r) = -59*r**2 + 142*r - 53. Let m(s) = 28*k(s) + 5*n(s). Factor m(h).
-4*(h - 2)*(8*h - 3)
Suppose -2*z - 182 = 4*i, 5*z + 36*i = 37*i - 455. Let c = z + 94. Factor 4/3 - 16/3*s + 13/3*s**2 - s**c.
-(s - 2)**2*(3*s - 1)/3
Let d(x) be the third derivative of 20*x**3 + 0*x - 23/12*x**4 + 0 - 305*x**2 + 1/30*x**5. Factor d(i).
2*(i - 20)*(i - 3)
Let t(k) be the third derivative of -k**5/180 + 25*k**4/36 - 49*k**3/18 + 133*k**2 - 1. Factor t(p).
-(p - 49)*(p - 1)/3
Let m be (260/30 + -9)*12*(-39)/78. Factor 40/3*l**m - 2/3*l + 0 + 14*l**3.
2*l*(l + 1)*(21*l - 1)/3
Let r(z) be the first derivative of -5/3*z**3 + 55*z**2 - 605*z - 58. Let r(i) = 0. Calculate i.
11
Let y(g) = 2*g**2 - 45*g - 608. Let b be y(32). Let k(j) be the third derivative of 1/60*j**6 + 0 - 1/30*j**4 + b*j + 1/50*j**5 - 7*j**2 + 0*j**3. Factor k(s).
2*s*(s + 1)*(5*s - 2)/5
Let g be (2 - -1)*5 - 7/7. Let c(f) be the third derivative of 1/132*f**4 - 1/165*f**5 + 0*f - 1/660*f**6 + 2/33*f**3 + 0 - g*f**2. Factor c(r).
-2*(r - 1)*(r + 1)*(r + 2)/11
Let o be (26/(-13) - -2) + (-383)/30. Let j = -63/5 - o. Determine p so that 5/6*p + j*p**2 + 2/3 = 0.
-4, -1
Let z(i) = i**3 + 1 - 180*i - i**2 + 94*i + 87*i. Let o(b) = 405*b**4 + 1038*b**3 - 2143*b**2 + 783*b - 77. Let q(h) = o(h) - 3*z(h). Factor q(s).
5*(s - 1)*(s + 4)*(9*s - 2)**2
Let d(m) = m**3 + m**2 - 18*m + 12. Let r be d(4). Let o be (4 - 1) + (-30)/r. Solve 3/4*s**2 + o*s + 0 = 0.
-2, 0
Let b = -25258 - -50517/2. Determine d, given that 1/2*d + 1/2*d**4 - 1/2*d**3 + 0 - b*d**2 = 0.
-1, 0, 1
Let q = 11/9 - -379/9. Let t = q + -42. Solve t*z + 0 - 34/9*z**2 - 32/9*z**3 + 14/9*z**4 = 0 for z.
-1, 0, 2/7, 3
Let q(d) be the third derivative of 0*d - 112*d**2 + 0*d**3 + 1/5*d**5 - 19/70*d**7 - 1/16*d**8 - 1/5*d**6 + 0 + 0*d**4. Suppose q(a) = 0. Calculate a.
-2, -1, 0, 2/7
Let w(v) be the first derivative of -4/9*v**3 + 38/9*v**2 + 92 - 8/3*v. Factor w(o).
-4*(o - 6)*(3*o - 1)/9
Let o(w) = -8*w - 236. Let n be o(-30). Suppose g + n*m = 0, -4*g - 9*m = -6*m. What is v in -14/11*v**2 + 10/11*v**3 - 2/11*v**4 + 6/11*v + g = 0?
0, 1, 3
Let t(x) be the third derivative of -x**6/240 + x**5/60 + x**2 - 608. Factor t(z).
-z**2*(z - 2)/2
Let q(u) = u**2 + 9*u + 26. Let n be q(-3). Solve 7*t - 6 - 2*t + 89*t**4 + n*t**2 - 91*t**4 - 4*t**3 - t = 0 for t.
-3, -1, 1
Let u be (-48 - 20)*(-5)/20. Let f(r) be the second derivative of u*r + 0 - 1/8*r**2 + 1/48*r**4 + 0*r**3. Factor f(q).
(q - 1)*(q + 1)/4
Let r be (-20)/130 + (-290)/(-26) + -6. Suppose -4*q - 11*q**2 + 9*q**5 - 38*q**5 - 8*q**3 - 9*q**2 + 33*q**r - 7*q**3 + 5*q**4 = 0. What is q?
-2, -1, -1/4, 0, 2
Let m(r) = r**2 + 319*r - 13563. Let a be m(38). Suppose 3/7*o**5 + 6/7*o**4 - 6/7*o**2 + 0*o**a - 3/7*o + 0 = 0. Calculate o.
-1, 0, 1
Let a(w) be the third derivative of w**5/30 + 55*w**4 + 36300*w**3 - 1880*w**2. Factor a(g).
2*(g + 330)**2
Suppose 70 - 55 = -5*w + 3*j, -2*j = -w - 17. Factor 0 + 0*g - g**2 + 1/2*g**w + 1/2*g**4.
g**2*(g - 1)*(g + 2)/2
Let t = -1447234 - -1447260. Find i such that -1/7*i**2 + t*i - 1183 = 0.
91
Let h(f) be the third derivative of f**7/105 - 133*f**6/60 + 2*f**2 - 280. Factor h(p).
2*p**3*(p - 133)
Let u(s) be the first derivative of 4394/5*s + 26/5*s**3 - 129 + 507/5*s**2 + 1/10*s**4. Factor u(g).
2*(g + 13)**3/5
Factor 638*q**2 + 18*q**3 + 538*q**2 + 651*q**2 - 44 - 1643*q**2 - 158*q.
2*(q - 1)*(q + 11)*(9*q + 2)
Suppose 8 = 4*c, f = -c + 5*c - 8. Let w(a) be the first derivative of f*a - 2*a**5 + 0*a**2 + 6 - 5/6*a**6 + 0*a**3 - 5/4*a**4. Factor w(r).
-5*r**3*(r + 1)**2
Let z = 100 + -96. Factor 6 + 3*n**3 - 48*n**2 + 4*n**z - 30 + 4 + 56*n + 5*n**3.
4*(n - 1)**3*(n + 5)
Let s be (-18)/70 + (-4)/(-10). Suppose -3*b - 1 = 5*h, -b = -198*h + 95*h + 104*h - 1. Let -9/7*l + s*l**b - 5/7 - 3/7*l**2 = 0. What is l?
-1, 5
Let m(b) be the third derivative of -b**8/588 + 23*b**7/490 - 37*b**6/168 + 13*b**5/210 + 19*b**4/14 - 4*b**3/3 - 1845*b**2. Find u such that m(u) = 0.
-1, 1/4, 2, 14
Let b be (-6)/(-14) - (-4 + 1152/(-56)). Suppose -b*r - 14*r - 192 - 3*r**2 - 9*r = 0. Calculate r.
-8
Let y = 563 + -561. Suppose 296 - 3*a**2 + 38*a + 8*a**y - 221 + 5*a - 3*a = 0. What is a?
-5, -3
Factor 4/9*d**2 + 12136/9*d + 9205156/9.
4*(d + 1517)**2/9
Suppose -156 = -8*b - 60. Let o(g) = -g**3 + 11*g**2 + 14*g - 24. Let f be o(b). Determine w so that 1/2*w**2 + 1/2*w + f = 0.
-1, 0
Let v be (3/(-12))/(18/(-24)) - 0. Let g(o) be the second derivative of -11*o + v*o**4 + 2*o**2 + 0 - 4/3*o**3. Factor g(j).
4*(j - 1)**2
Let v(d) be the second derivative of 19/9*d**3 + 4*d**2 + 11 - 3*d + 4/9*d**4 + 1/30*d**5. Find f, given that v(f) = 0.
-4, -3, -1
Suppose 320*i = 312*i + 18240. Let h = -2278 + i. What is c in 0*c**4 - 1/4*c**5 - 1/2*c**h + c**3 - 3/4*c + 1/2 = 0?
-2, -1, 1
Find i such that 5/2*i**2 - 35/4*i**3 + 0*i + 0 = 0.
0, 2/7
Let w be 70*(668/(-56) + (28 - (-384)/(-24))). Factor 10/9*i**3 - 2/9*i**4 - 2/9*i**w - 16/9*i + 8/9 + 2/9*i**2.
-2*(i - 1)**3*(i + 2)**2/9
Suppose 3*d = -m - 20, -2*d - 3*d - 34 = 2*m. Let p be 273/(-91)*4/d. Factor -2/3*o**p - 4 - 10/3*o.
-2*(o + 2)*(o + 3)/3
Let p(r) = r**3 + 4*r**2 + 12*r + 6. Let w(u) = -2*u**2 + u. Let t be w(2). Let c = 6249 + -6246. Let h(z) = -z**2 - 1. Let n(k) = c*p(k) + t*h(k). Factor n(g).
3*(g + 2)**3
Let l be (-228)/(-7)*(-28)/(-8). Solve -97*t**2 + l*t**4 + 33*t**2 - 116*t**4 - 30 + 76*t + 20*t**3 = 0 for t.
1, 3, 5
Let c(i) = i**2 - 11*i - 19. Let f be c(12). Let d(g) = 4*g**4 + g**3 - 7*g**2 - 7*g. Let q(b) = 2*b**4 - 4*b**2 - 4*b. Let p(m) = f*q(m) + 4*d(m). Factor p(r).
2*r**3*(r + 2)
Let u(f) be the first derivative of -275 + 8*f + 2/3*f**3 - 4*f**2. Factor u(a).
2*(a - 2)**2
Let o(w) be the second derivative of -2*w**4/9 - 1291*w**3/9 + 323*w**2/3 + 674*w - 2. Factor o(i).
-2*(i + 323)*(4*i - 1)/3
Suppose -2*p - 4*j + 108 = 0, 11*p + 162 = 14*p - 3*j. Let n be 18/27 + 9/(p/388). Determine s so that 56/3*s + n*s**2 + 4/3 = 0.
-1/7
What is s in -8 - 1/3*s**3 + 1/3*s + 49/6*s**2 - 1/6*s**4 = 0?
-8, -1, 1, 6
Let o(p) be the third derivative of -p**7/420 + p**6/60 + 5*p**5/24 - 7*p**4/12 + 45*p**2 - 5. Determine i, given that o(i) = 0.
-4, 0, 1, 7
Let l(a) = -243*a - 226*a + 46 + 691*a - 265*a. Let k be l(1). Factor 10/7 - 2/7*w + 2/7*w**k - 10/7*w**2.
2*(w - 5)*(w - 1)*(w + 1)/7
Solve -546 - 480*c + 6 - 989*c**3 + 994*c**3 + 12*c**2 + 53*c**2 = 0.
-18, -1, 6
Solve -3663/5*z - 216/5*z**2 + 8214/5 - 3/5*z**3 = 0.
-37, 2
Let p = 81438 + -81438. Factor p*a + 0 - 1/8*a**2 + 1/8*a**3.
a**2*(a - 1)/8
Let y(n) be the second derivative of n**9/5040 + n**8/112 + 19*n**7/840 + 43*n**4/12 - n**3/6 + 140*n. Let j(v) be the third derivative of y(v). Factor j(s).
3*s**2*(s + 1)*(s + 19)
Let p(i) be the first derivative of 2*i**5/35 - 13*i**4/14 + 106*i**3/21 - 83*i**2/7 + 12*i + 1216. Solve p(s) = 0 for s.
1, 2, 3, 7
Suppose -61*v + 4 = -57*v. Let t(w) = -w**2 - 23*w + 28. Let y(s) = -2*s**2 - s - 1. Let n(b) = v*y(b) + t(b). Determine a so that n(a) = 0.
-9, 1
Let v(a) be the third derivative of 7*a**2 - 1/588*a**8 - 4*a + 3/70*a**6 + 0 - 1/21*a**5 + 0*a**4 - 2/245*a**7 + 0*a**3. Factor v(z).
-4*z**2*(z - 1)**2*(z + 5)/7
Let i(l) be the second derivative of l**7/17640 - l**6/2520 + 95*l**4/12 + 74*l. Let r(y) be the third derivative of i(y). Factor r(p).
p*(p - 2)/7
Let i(q) be the third derivative of -q**5/60 + 137*q**4/24 - 480*q**2. What is d in i(d) = 0?
0, 137
Let b be 12/14*13916/2982. Factor 0*z - 2*z**b + 0*z**2 - 2/5*z**3 + 0.
-2*z**3*(5*z + 1)/5
Let g(a) be the first derivative of -a**7/2520 - a**6/540 - 151*a**3/3 - 219. Let h(r) be the third derivative of g(r). What is c in h(c) = 0?
-2, 0
Factor 1/3*o**3 + 3*o**2 + 20/3*o + 4.
(o + 1)*(o + 2)*(o + 6)/3
Let j = 64053/224210 - -1/32030. Factor 2/7*z**2 + 0 + j*z.
2*z*(z + 1)/7
Let h(f) be the third derivative of -f**8/45360 - f**7/810 - 13*f**6/1620 - 27*f**5/10 + 3*f**2 - 49. Let l(j) be the third derivative of h(j). Factor l(s).
-4*(s + 1)*(s + 13)/9
Let i(v) = -8*v**3 + 430*v**2 - 94*v. Let g(s) = s**3 - s**2 - s. Let y(o) = 28*g(o) - 2*i(o). Factor y(m).
4*m*(m - 20)*(11*m - 2)
Let j = 453/290 + -183/145. Let g(h) be the second derivative of -j*h**5 + 0*h**2 - 1/10*h**6 + 0*h**4 + 35*h + 0*h**3 + 1/14*h**7 + 0. Factor