ppose 23/3*p**2 - 1/3*p**3 + 80 - 136/3*p = 0. Calculate p.
4, 15
Suppose 4*p - 3*p + 56 = 0. Let n = p + 58. Factor -5*c**2 + 6*c**2 + 2*c + c**n.
2*c*(c + 1)
Suppose 5*p - 7 = -2*g, 3*g + p + 11 = 28. Suppose -30*i + 27*i + g = 0. Factor 102*t + t**2 + 20 - 86*t - 5*t**i.
-4*(t - 5)*(t + 1)
Let f = -45 + 55. Suppose 0 = 3*w + 4*i - f, -3*i + 4 = i. What is o in -4*o**2 - 4*o**2 - 4*o + 14*o**2 - 12*o**2 + w = 0?
-1, 1/3
Let i = 209 - 190. Determine n, given that -4586*n - 10 - i*n**2 + 49*n**2 + 4541*n + 25*n**3 = 0.
-2, -1/5, 1
Let o(d) be the third derivative of -d**8/1120 + 7*d**6/240 - 3*d**5/40 + 5*d**3/3 - 150*d**2 - 2. Let g(f) be the first derivative of o(f). Solve g(v) = 0.
-3, 0, 1, 2
Let h(u) be the third derivative of -u**8/336 + 67*u**7/630 - 89*u**6/72 + 89*u**5/20 - 65*u**4/9 + 50*u**3/9 - 16*u**2 - 59. Suppose h(r) = 0. Calculate r.
1/3, 1, 10
Determine f, given that 122 - 612/5*f + 2/5*f**2 = 0.
1, 305
Find z, given that -775/2*z**2 - 785/2 + 5/2*z**3 - 1565/2*z = 0.
-1, 157
Let n be (6/4 + -1)*10. Suppose -2*w + 35 = 2*w + 5*z, -4*w + n = -5*z. Solve 60 + 15*h**w + 50*h**2 - 30 + 73*h**3 + 27*h**3 - 115*h - 80*h**4 = 0.
-1, 1/3, 1, 2, 3
Find z, given that 1575/2*z**3 + 0 - 62410*z + 5/2*z**4 + 61620*z**2 = 0.
-158, 0, 1
Let z(q) = 15*q + 155. Let b be z(-10). Let i(n) be the second derivative of -3/4*n**4 - 5*n + 0*n**3 - 3/20*n**b + 0*n**2 + 0. Factor i(d).
-3*d**2*(d + 3)
Let l be (-12475)/(-10)*14/(-35). Let k = l - -4493/9. Factor 2/9*c**2 + 2/9*c**3 - k*c**4 + 0 - 2/9*c.
-2*c*(c - 1)**2*(c + 1)/9
Factor 878*n + 93*n**2 + 155*n + 162*n + 3024 + 3*n**3 - 259*n.
3*(n + 7)*(n + 12)**2
Let b(h) be the first derivative of -40*h**2 + 9*h - 5/12*h**4 - 22 + 20/3*h**3. Let m(p) be the first derivative of b(p). Suppose m(t) = 0. What is t?
4
Let g be (-92)/(-322) - (-1809)/(-770). Let y = g + 63/22. Factor y*t**2 - 1/5*t**3 + 0 + 0*t.
-t**2*(t - 4)/5
Let r(h) = 7*h**2 - h + 4. Let s be r(2). Suppose -2*p - s + 38 = 0. Determine q, given that -3*q**2 - q**2 - 6*q**3 + 5*q**p - q**2 + 5*q + q**3 = 0.
-1, 0, 1
Let a be (1232/(-121) - -10)*(5 - (3 - -3)). Factor -14/11*j - 16/11 + a*j**2.
2*(j - 8)*(j + 1)/11
Let q(c) = 34*c**3 + 1234*c**2 - 189720*c - 190950. Let r(k) = 6*k**3 + k + 2. Let n(t) = q(t) - 6*r(t). Solve n(z) = 0 for z.
-1, 309
Let u = -20241 - -60725/3. Let h(d) be the first derivative of u*d**3 - 8*d - 11 + 0*d**2. Find x, given that h(x) = 0.
-2, 2
Let s = -472976/3 + 157664. Find i such that s*i - 64/3 - 4/3*i**3 + 16/3*i**2 = 0.
-2, 2, 4
Let k = 5/1609 - -27038/101367. Let x(p) be the second derivative of 0 + 5/126*p**4 + k*p**3 + 23*p + 2/7*p**2. Solve x(y) = 0.
-3, -2/5
Let o = 113 - 158. Let c(x) = 65*x**2 + 615*x - 45. Let f(g) = 3*g**2 + 28*g - 2. Let m(b) = o*f(b) + 2*c(b). Solve m(q) = 0 for q.
-6, 0
Let -24/5*d**3 - 4/5*d**4 - 2 - 13/5*d**2 + 33/5*d = 0. What is d?
-5, -2, 1/2
Let x = 428 + -426. Factor 79*y - 99*y - 2*y**3 - 26*y**x + 12*y**2.
-2*y*(y + 2)*(y + 5)
Let y(l) be the second derivative of 3*l**5/160 - 63*l**4/16 + 4209*l**3/16 - 11163*l**2/4 + 641*l - 2. Factor y(w).
3*(w - 61)**2*(w - 4)/8
What is i in -5*i**5 - 133*i**2 + 811*i**2 + 564*i**3 + 134*i**2 + i**5 - 1104 - 268*i**4 - 1120*i = 0?
-69, -1, 2
Let -104*p - 20280 - 2/15*p**2 = 0. Calculate p.
-390
Let b(o) be the first derivative of 5*o - 3/5*o**4 + 46/15*o**3 + 1/25*o**5 - 66 - 6*o**2. Let b(t) = 0. Calculate t.
1, 5
Determine k so that 3/4*k**3 - 297 - 36*k**2 + 1329/4*k = 0.
1, 11, 36
Let q(d) be the first derivative of -2/3*d**3 - 20 - 1/2*d**2 + 0*d - 1/4*d**4. Determine x so that q(x) = 0.
-1, 0
Let k be ((-5)/(68 + 2))/(628/(-48) + 13). Suppose -12 = -4*v - 3*o, 3*v - 2*o = 2*o - 16. Suppose 2/7*x**2 + v - k*x = 0. Calculate x.
0, 3
Suppose 14 = 5*g + 2*b, -3*g + 6*g = b + 15. Factor 16*v - 26 + 0*v**3 + 8*v**2 - g*v**3 - 6.
-4*(v - 2)**2*(v + 2)
Let p(q) be the second derivative of q**6/90 - 2*q**5/3 + 50*q**4/3 + 6*q**3 + 33*q - 2. Let a(r) be the second derivative of p(r). Factor a(y).
4*(y - 10)**2
Let k be (-18)/10 - 2563/(-1165). Find j such that k*j**3 + 11/5*j**2 - 36/5 - 12/5*j - 1/5*j**4 = 0.
-2, 3
Let o(d) be the first derivative of d**7/280 - 7*d**6/60 + 2*d**3 + 3*d**2/2 + 89. Let z(q) be the third derivative of o(q). Factor z(m).
3*m**2*(m - 14)
What is s in -138*s + 28*s**2 + 141*s**3 - 133*s**2 + 120 - 15*s**4 - 22060537*s**5 + 22060534*s**5 = 0?
-10, -1, 1, 4
Let a(l) = 6*l**2 + 78*l - 18. Let i(f) be the third derivative of -f**4/6 - f**3/6 + 24*f**2. Let n(g) = a(g) + 10*i(g). Factor n(m).
2*(m + 7)*(3*m - 2)
Let b(k) be the third derivative of -1/6*k**4 - 1/60*k**5 + 0 - 19*k**2 - 2/3*k**3 - 2*k. Factor b(n).
-(n + 2)**2
Let p(r) be the third derivative of 2*r**7/525 + 22*r**6/75 + 79*r**5/75 - 36*r**4/5 - 168*r**3/5 + 3980*r**2 + 2*r. Solve p(q) = 0.
-42, -3, -1, 2
Let h(p) = -4*p**2 - 84*p + 405. Let y be h(4). Determine c, given that 2/7*c**y + 0*c**2 - 2/7*c**3 + 0 + 0*c + 0*c**4 = 0.
-1, 0, 1
Let r = -278 - -282. Factor -r*l - 1057*l**4 - 1047*l**4 + 4 - 3*l**2 + 4*l**3 + 2103*l**4.
-(l - 2)**2*(l - 1)*(l + 1)
Let o be (-138)/506*(-11)/2. Suppose 3*z = 3*d - 12, -16*d + 15*d + 4 = 0. Factor 9/4*v - 3/4*v**3 - o + z*v**2.
-3*(v - 1)**2*(v + 2)/4
Let k(l) be the first derivative of 4*l**3/3 + 1624*l**2 - 6512*l - 6968. Let k(i) = 0. What is i?
-814, 2
Let h = 304 - 301. Factor 43*w**h - 10*w**3 - 4 - 6*w - 31*w**3.
2*(w - 2)*(w + 1)**2
Let u(o) be the third derivative of o**7/840 - 11*o**6/240 - 13*o**5/20 + 25*o**4/12 + o**3/6 + 45*o**2. Let k(b) be the second derivative of u(b). Factor k(q).
3*(q - 13)*(q + 2)
Let k(p) = 8*p**3 - 2737*p**2 - 14*p - 7. Let l(r) = 3*r**3 - 912*r**2 - 4*r - 2. Let x(y) = 2*k(y) - 7*l(y). Factor x(i).
-5*i**2*(i - 182)
Let p(y) be the second derivative of -14/27*y**3 + 4/9*y**2 + 0 - 54*y - 1/3*y**4. Let p(v) = 0. Calculate v.
-1, 2/9
Let l(v) be the third derivative of -v**8/2352 - v**7/245 + 37*v**6/280 - 86*v**5/105 + 10*v**4/7 - 2*v**2 + 20. Let l(o) = 0. What is o?
-15, 0, 1, 4
Let o(p) = -22*p**2 + 78*p - 216. Let c(b) = -200*b**2 + 696*b - 1944. Let x(h) = 6*c(h) - 55*o(h). Factor x(k).
2*(k - 9)*(5*k - 12)
Determine g so that 8/3 - 2/15*g**2 + 16/15*g = 0.
-2, 10
Suppose 4*q - 15 - 41 = 0. Let 18*t**2 - 51*t**3 + 72*t**5 - q*t**2 - 92*t**4 - 45*t**3 - 20*t**2 = 0. What is t?
-1/2, -2/9, 0, 2
Suppose -2*z - 6 = -18. Suppose 0 = -6*b - 0*b + z. Suppose b - 21*r - 3*r**2 - 1 = 0. What is r?
-7, 0
Let d(s) be the first derivative of 2/65*s**5 + 1/13*s**2 - 10 - 1/26*s**4 + 0*s - 2/39*s**3. Factor d(b).
2*b*(b - 1)**2*(b + 1)/13
Let d(p) be the second derivative of -p**8/2520 + p**7/420 + p**3/3 + 19*p**2/2 - 2*p - 6. Let c(n) be the second derivative of d(n). Factor c(k).
-2*k**3*(k - 3)/3
Let w = -1670 - -1673. Let f(s) be the first derivative of -48*s**2 + w + 64/3*s**3 + 36*s. Factor f(m).
4*(4*m - 3)**2
Let n(g) = g**2 + 4*g - 5. Let m be n(9). Let y be 12/14*m/32. What is j in 112*j**2 - 4*j**4 - 8*j**y + 0*j**3 - 116*j**2 = 0?
-1, 0
Let p(r) = -18*r**2 - 12*r + 9. Let w(y) be the second derivative of y**4/12 - y**2 + y - 32. Let b(t) = -p(t) - 3*w(t). Find v such that b(v) = 0.
-1, 1/5
Let n(g) = 7*g**3 - 295*g**2 + 15491*g - 15123. Let o(y) = -22*y**3 + 874*y**2 - 46474*y + 45366. Let j(w) = 16*n(w) + 5*o(w). Factor j(a).
2*(a - 87)**2*(a - 1)
Suppose 3*x + 140 = -2*q + 17, -4*q - x = 221. Let l be ((-6)/9)/(-8*(-9)/q). Suppose 0 - l*n**3 + 1/2*n**2 + 1/2*n - 1/2*n**4 = 0. Calculate n.
-1, 0, 1
Let q(d) = -d**3 + 8*d**2 - d + 10. Let g be q(8). Let p = 435/782 + -22/391. Factor 2*o + 2 + p*o**g.
(o + 2)**2/2
Suppose 61*b = 60*b + 6. Factor 365 - 24 + w**2 + 559 + 54*w + b*w.
(w + 30)**2
Let q(f) = 3*f + 77. Let y be q(-11). Let r be (77/y + -2)/(3/(-8)). Suppose -1/3 - r*u - 1/3*u**2 = 0. Calculate u.
-1
Let n(h) = -h**3 + 10*h**2 + 589*h - 532. Let z(c) = 4*c**2 + 196*c - 176. Let y(j) = -4*n(j) + 11*z(j). Solve y(p) = 0 for p.
-8, 1, 6
Determine f, given that -6 + 0*f - 31*f + 17*f**2 - 35*f - 2 = 0.
-2/17, 4
Let p = -512010 + 512013. Factor -3/5 - 6/5*s**p - 12/5*s**2 - 1/5*s**4 - 2*s.
-(s + 1)**3*(s + 3)/5
Let j = -455/206 + 5897/618. Determine u, given that 0 + 20/9*u**2 + j*u**3 + 80/9*u**4 + 2/9*u + 32/9*u**5 = 0.
-1, -1/4, 0
Let a(k) = 11*k**5 + 27*k