*f**3 - 41075*f**2 + 6950*f - 310. Let y(q) = -5290*q**3 + 27384*q**2 - 4633*q + 207. Let b(r) = -7*s(r) - 10*y(r). Factor b(w).
-5*(w - 5)*(23*w - 2)**2
Let v(i) = -i**3 - 7*i**2 + 23*i + 43. Let f be v(-8). Let l be ((-165)/84 - -3) + 22/f. Let -1/2 + 5/4*q**2 + l*q = 0. What is q?
-1, 2/5
Let p be (-2)/(-7) - 303/(-42). Let d = 40865 + -81729/2. Factor p*u + d*u**3 - 7/2*u**2 - 9/2.
(u - 3)**2*(u - 1)/2
Let j(h) be the first derivative of 5329*h**4/2 - 14308*h**3 + 585*h**2 - 8*h - 99. Factor j(l).
2*(l - 4)*(73*l - 1)**2
Let d(n) = -839*n - 9225. Let o be d(-11). Solve 13/5*w**2 + 1/5*w**5 - 6/5*w - 1/5*w**o - 7/5*w**3 + 0 = 0 for w.
-3, 0, 1, 2
Suppose -3*u = 5*r + 44, 2*u = -r + 6872 - 6906. Solve 90*h**r - 162/7*h**3 - 176/7*h - 968/7 = 0.
-1, 22/9
Let n(b) = -b**2 + 1724*b + 8655. Let p be n(-5). Factor p*o + 48/5 + 2/5*o**2.
2*(o + 1)*(o + 24)/5
Let b(i) = 84*i**5 - 5076*i**4 - 5128*i**3 + 32*i + 32. Let v(q) = -13*q**5 + 781*q**4 + 789*q**3 - 5*q - 5. Let s(a) = -5*b(a) - 32*v(a). Factor s(w).
-4*w**3*(w - 98)*(w + 1)
Let l(t) be the second derivative of -t**3/3 + 9*t**2 - 144*t. Let y be l(8). Factor 1/4 + 5/4*h**4 + 5/2*h**y - 5/2*h**3 - 5/4*h - 1/4*h**5.
-(h - 1)**5/4
Let r(u) be the second derivative of 11/12*u**3 - 229*u + 1/24*u**4 + 0 + 0*u**2. Factor r(h).
h*(h + 11)/2
Let j(d) be the second derivative of -2/7*d**7 - 5/18*d**3 - 7/30*d**6 + 1/3*d**2 + 21*d - 29/36*d**4 + 1 + 89/60*d**5. Suppose j(f) = 0. Calculate f.
-2, -1/4, 1/3, 1
Let d be (-68)/1088 - (-5759)/368 - ((-558)/(-69) - 8). Factor -961/4 - 1/4*o**2 - d*o.
-(o + 31)**2/4
Let s be (-1)/(-1)*276/31602. Let a = 464/687 - s. What is y in 4*y + a*y**3 + 0 - 10/3*y**2 = 0?
0, 2, 3
Let m(r) be the second derivative of -22/5*r**5 - 2/21*r**7 + 6/5*r**6 - 1 - 14*r + 0*r**2 + 0*r**4 + 64/3*r**3. Let m(b) = 0. Calculate b.
-1, 0, 2, 4
Let g(r) = -r**2 - r - 2. Let c(v) = -10*v**2 + 42 + 48 + 401*v + 4*v**2 - 15*v**2 - 38*v. Let p(h) = c(h) + 18*g(h). Solve p(y) = 0 for y.
-2/13, 9
Let p(j) be the third derivative of j**7/504 + j**6/24 + 3*j**5/8 - 3*j**4/4 - j**3/2 + 83*j**2. Let c(z) be the second derivative of p(z). Factor c(v).
5*(v + 3)**2
Let c be 2 + 23/((-115)/(-50)). Let r(q) be the third derivative of -1/36*q**4 + 0*q**3 - 1/90*q**5 + 0*q + 0 + c*q**2. Solve r(o) = 0.
-1, 0
Suppose -14 = -2*m - 2*m - 2*z, 5*z - 7 = 4*m. Suppose 743*p - 4*j + 14 = 748*p, 4*p = 5*j + 44. Factor 15 + p*s + 3/5*s**m.
3*(s + 5)**2/5
Let m be (3 + -43)*(-2)/5. Let i(u) = -52*u**2 + m*u + 12 - 7*u + 42*u**2. Let p(s) = s**2 - s - 1. Let x(c) = -2*i(c) - 22*p(c). Find y such that x(y) = 0.
1
Let v(q) be the first derivative of -2*q**5/65 + 105*q**4/26 - 1572*q**3/13 - 21280*q**2/13 - 37632*q/13 + 664. Find o, given that v(o) = 0.
-6, -1, 56
Suppose -2 = 3*o + 36*r - 34*r, 4 = 4*o + r. Suppose 0 = -5*c + 10*c + l - 17, -5*l + 16 = o*c. Factor 2*m**c + 4/5 - 22/5*m + 8/5*m**2.
2*(m - 1)*(m + 2)*(5*m - 1)/5
Let k(n) = -28*n - 80. Let f be k(-3). Suppose 24*b = -1862 + 1934. Find h such that -1 + 2*h**b + h**2 - 1/2*h**5 - 3/2*h + 0*h**f = 0.
-1, 1, 2
Let w(a) be the third derivative of -a**6/240 - 41*a**5/120 - 25*a**4/16 + 39*a**3/4 - 2015*a**2. Solve w(z) = 0 for z.
-39, -3, 1
Let p = 153 + -70. Let q = p + -80. Suppose 181*j + q*j**2 - 166*j + 2*j**2 = 0. What is j?
-3, 0
Let l(y) = 143*y**4 + 1036*y**3 + 787*y**2 + 158*y. Let o(a) = -428*a**4 - 3115*a**3 - 2362*a**2 - 473*a. Let d(k) = -13*l(k) - 4*o(k). What is i in d(i) = 0?
-6, -3/7, 0
Let z = 3100 + -15491/5. Let p(s) be the second derivative of 1/2*s**6 - 1/5*s**3 + 21/20*s**4 + 4*s + 0 + 0*s**2 - z*s**5. Suppose p(m) = 0. Calculate m.
0, 1/5, 2
Let g be 4 + 4/(-20) + 64/20. Let x be 292/g + (-2)/(-7). Factor -5*r**3 - 22*r + 60*r**2 + x - 11*r + 8 - 72*r.
-5*(r - 10)*(r - 1)**2
Let k(c) be the second derivative of 43*c + 1 + 5/2*c**2 + 265/6*c**3 + 14045/48*c**4. What is p in k(p) = 0?
-2/53
Let z(c) be the second derivative of -c**4/48 + 13*c**3/12 - 105*c**2/8 - 2027*c + 2. Factor z(v).
-(v - 21)*(v - 5)/4
Let a(k) be the first derivative of -2*k**3/3 + 79*k**2 + 324*k + 490. Factor a(u).
-2*(u - 81)*(u + 2)
Let s(w) be the third derivative of 0*w**3 + 1/273*w**7 - 2/39*w**5 + 2*w**2 - w + 0 + 1/39*w**4 + 1/52*w**6 - 1/546*w**8. Find d, given that s(d) = 0.
-2, 0, 1/4, 1, 2
Let c(x) be the third derivative of x**7/42 - 2*x**6 + 131*x**5/12 + 75*x**4/2 + 553*x**2 + 1. What is f in c(f) = 0?
-1, 0, 4, 45
Let y = 1207 - 1203. Let m(n) be the second derivative of -1/2*n**y - 1/2*n**3 - 10*n + 0*n**2 + 0 - 3/20*n**5. Solve m(g) = 0 for g.
-1, 0
Factor -16/5 + 28/5*w - 28/5*w**3 + 16/5*w**2.
-4*(w - 1)*(w + 1)*(7*w - 4)/5
Let u(i) be the third derivative of i**6/420 + 31*i**5/70 - 32*i**4/7 + 388*i**3/21 + 2*i**2 - 89. Factor u(w).
2*(w - 2)**2*(w + 97)/7
Let r(b) be the second derivative of -b**6/30 - 1403*b**5/5 - 1968409*b**4/2 - 5523355654*b**3/3 - 3874633991281*b**2/2 + 3389*b. Factor r(x).
-(x + 1403)**4
Find g such that 3/2*g**3 + 23064 - 741/2*g**2 + 22692*g = 0.
-1, 124
Solve 20*c**3 + 4*c**2 + 10*c**2 + 5*c**5 - 30*c**4 + 20*c**2 - 4*c**2 - 25*c = 0 for c.
-1, 0, 1, 5
Factor -24*g**4 + 5*g**5 + 8500*g**2 - 5159*g**3 + 209*g**4 + 7359*g**3.
5*g**2*(g + 10)**2*(g + 17)
Let v be (3/4)/((-21)/98)*2. Let o be v/(-11)*5/35*2. Factor 8/11*q**4 - o*q - 2*q**3 - 2/11 + 18/11*q**2.
2*(q - 1)**3*(4*q + 1)/11
Let h = -352 + 371. Factor 17*u**5 - 45*u + 7 - h - 7*u**5 - 60*u**2 - 7*u**5 - 30*u**3.
3*(u - 4)*(u + 1)**4
Let f(z) = 66*z**2 - 17*z + 61. Let n be f(3). Let h = 606 - n. Factor 0 + 81/2*c + 54*c**h + 27*c**3 + 6*c**4 + 1/2*c**5.
c*(c + 3)**4/2
Let g = 2 - -2. Let l(j) be the first derivative of 8 + 8*j**3 - 29 - g*j**2 + 4*j**3 - 3*j**4 - 4*j**4. Suppose l(b) = 0. Calculate b.
0, 2/7, 1
Let m be 9*216/4 - -12. Let o be (-10)/(-3) + (-1660)/m. Suppose 1/3*g**3 + o*g + 2/3*g**2 + 0 = 0. What is g?
-2, 0
Let a be 2/(-46) + (-22)/(-5566)*517. What is z in 11250/11 + 300/11*z + 2/11*z**a = 0?
-75
Let l = 331 - 329. Let j be 6/(-4) - (5 - 6)*l. Find z, given that -1/4*z**2 + 3/4 + j*z = 0.
-1, 3
Let m(j) be the first derivative of -10/21*j**3 + 2/7*j**5 + 0*j**2 + 122 + 1/14*j**4 - 1/21*j**6 + 0*j. Find y such that m(y) = 0.
-1, 0, 1, 5
Let l = 784385 + -2353130/3. Let -9*w**3 + 2 + 13*w**2 + 7/3*w**4 - l*w = 0. What is w?
6/7, 1
Let b(w) be the first derivative of -11*w - 20 + 11/6*w**3 - 2*w**2 + 1/4*w**4. Let h(q) be the first derivative of b(q). Let h(p) = 0. Calculate p.
-4, 1/3
Let x(q) be the first derivative of -329672*q**3/39 + 4060*q**2/13 - 50*q/13 + 1948. Find f such that x(f) = 0.
5/406
Let o(v) be the second derivative of -v**6/75 + 314*v**5/25 - 16537*v**4/5 + 196564*v**3/15 - 97969*v**2/5 + 23*v - 5. Solve o(g) = 0 for g.
1, 313
Let w(b) = 15*b + 6 - b**3 + 4*b**3 + 26*b**2 + 22*b**2 - 36*b**2. Let q(j) = j**3 + j**2 - j - 1. Let z(x) = -2*q(x) + w(x). What is p in z(p) = 0?
-8, -1
Let t be (-2709)/147 + 19/1. Let -20/7*m**3 + 0 + 36/7*m + 12/7*m**2 + t*m**4 = 0. What is m?
-1, 0, 3
Let o(n) be the third derivative of -11*n**6/360 + 14*n**5/5 + 287*n**4/18 + 32*n**3/3 + n**2 + 251*n - 5. Suppose o(p) = 0. What is p?
-2, -2/11, 48
Let o(y) be the first derivative of 2*y**5/5 + 18*y**4 + 60*y**3 - 292*y**2 + 330*y + 1049. Factor o(c).
2*(c - 1)**2*(c + 5)*(c + 33)
Let o(n) be the third derivative of -7/50*n**5 - 8/15*n**4 - 11/600*n**6 - 16/15*n**3 + 55 + 0*n + n**2 - 1/1050*n**7. Factor o(b).
-(b + 1)*(b + 2)*(b + 4)**2/5
Suppose 2*i - 8 = -x - 2, 0 = 2*x + 5*i - 14. Solve -16 - r**x + 144*r - 78*r - 74*r - 8 + 3*r**2 = 0.
-2, 6
Let l(m) = m**3 + 24*m**2 + m + 28. Let i be l(-24). Suppose 4*y - 2 = 3*a, -5*a + 2 = i*y - 16. Let 3*d**2 - 5*d**2 + 2*d**a + 5*d**2 - 15*d = 0. What is d?
0, 3
Let i = -756 + 775. What is r in 1224*r**2 - 183*r**3 - 32 - 12 - i - 27 - 129*r + 102*r**3 = 0?
-2/9, 1/3, 15
Let q(b) = b**4 - 2*b**2 - 22*b + 1. Let r(l) = 5*l**4 - 414*l**3 + 815*l**2 - 452*l + 2. Let d(z) = -2*q(z) + r(z). Factor d(o).
3*o*(o - 136)*(o - 1)**2
Let f(q) be the third derivative of q**5/420 + 16*q**4/21 + 2048*q**3/21 + 1080*q**2. Suppose f(y) = 0. What is y?
-64
Let o(w) be the third derivative of w**7/1260 + 107*w**6/360 + 12469*w**5/360 + 9095*w**4/12 + 7225*w**3 + 42*w**2 - 4*w + 2. Factor o(g).
(g + 5)**2*(