 1)*(q + 1)*(q + 3)
Let m(j) be the second derivative of -5*j - 1/20*j**5 + 11 + 0*j**2 - 1/3*j**4 - 1/2*j**3. What is s in m(s) = 0?
-3, -1, 0
Factor 5026*j**3 + 432*j**2 + 624*j - 2495*j**3 - 128 - 2487*j**3.
4*(j + 2)*(j + 8)*(11*j - 2)
Let y(q) be the first derivative of q**4/9 + 4*q**3/9 - 10*q**2 - 700*q/9 - 358. Factor y(d).
4*(d - 7)*(d + 5)**2/9
Let k(r) be the third derivative of r**6/210 - 5*r**5/3 + 86*r**4/7 + 5332*r**2. Suppose k(o) = 0. Calculate o.
0, 3, 172
Let s(c) = -24*c - 427. Let d be s(-18). Let k(x) be the third derivative of 0 - d*x**2 + 0*x - 5/2*x**3 - 3/4*x**4 - 1/20*x**5. Suppose k(r) = 0. What is r?
-5, -1
Let l(i) = 11*i**2 - 165*i - 926. Let c(q) = -230*q**2 + 3450*q + 19445. Let g(d) = 6*c(d) + 125*l(d). Factor g(f).
-5*(f - 23)*(f + 8)
Determine d, given that -1/3*d**5 + 4*d**4 + 38/3*d**2 + 15*d - 44/3*d**3 - 50/3 = 0.
-1, 1, 2, 5
Let z(q) be the third derivative of 13/30*q**5 - 7/540*q**6 - 32/27*q**3 - 115*q**2 - 13/18*q**4 + 0 + 0*q. Let z(y) = 0. Calculate y.
-2/7, 1, 16
Let x(u) be the second derivative of u**5/30 + u**4/3 - 5*u**3/3 - 45*u**2 + 2*u + 3. Let c(b) be the first derivative of x(b). What is p in c(p) = 0?
-5, 1
Let j(c) be the first derivative of -2*c**5/5 + 109*c**4 - 144*c**3 - 218*c**2 + 434*c + 4450. Determine p, given that j(p) = 0.
-1, 1, 217
Let z(w) = 65*w**3 + 7*w**2 + 33*w + 18. Let m(h) = 58*h**3 + 8*h**2 + 34*h + 20. Let l(c) = -9*m(c) + 8*z(c). Find a, given that l(a) = 0.
-3, -2
Let g(h) = 75*h**3 - 33*h**2 - 972*h - 942. Let s(o) = -213*o**3 + 100*o**2 + 2917*o + 2825. Let x(q) = -17*g(q) - 6*s(q). Let x(k) = 0. Calculate k.
-12, -1, 26
Let f(g) = 2*g**4 - 142*g**3 + 156*g**2 + 154*g - 152. Let j(a) = 2*a**3 + a**2. Let m(y) = 2*f(y) - 12*j(y). Suppose m(h) = 0. Calculate h.
-1, 1, 76
Factor 0*p + 0 - 65/4*p**3 - 50*p**2 - 5/4*p**4.
-5*p**2*(p + 5)*(p + 8)/4
Let b(q) be the third derivative of 0*q + 0*q**3 + 1/12*q**4 - 15 + q**2 + 0*q**5 - 1/60*q**6. Factor b(o).
-2*o*(o - 1)*(o + 1)
Factor -5*b**3 + 5*b**4 + b**3 - b**2 + 19*b**4 - 23*b**4 + 4*b + 0*b.
b*(b - 4)*(b - 1)*(b + 1)
Let g(o) = 2*o**3 - 13*o**2 + 7*o + 4. Let w be g(1). Factor 2/3*t**3 + 1/3*t**4 - 1/3*t**2 + w - 2/3*t.
t*(t - 1)*(t + 1)*(t + 2)/3
Let x(k) be the third derivative of 143/120*k**5 + 1/10*k**6 - 9 - k**2 + 1/420*k**7 + 0*k - 1/2*k**4 - 12*k**3. What is a in x(a) = 0?
-12, -1, 1
Let z(x) be the first derivative of x**6/15 + x**5/30 - 4*x**4/9 + 4*x**3/9 + 80*x - 64. Let v(g) be the first derivative of z(g). Solve v(j) = 0 for j.
-2, 0, 2/3, 1
Let z(a) be the first derivative of 5*a**4/14 - 74*a**3/21 - 26*a**2/7 + 32*a/7 + 1291. Factor z(q).
2*(q - 8)*(q + 1)*(5*q - 2)/7
Suppose -55 + 25*a**2 + 17*a**2 + 20*a**3 - 50*a**2 + 0*a**3 - 79*a - 4*a**3 = 0. What is a?
-5/4, -1, 11/4
Let c = -33 - -58. Let f = 24 - c. Let n(m) = 4*m**5 + 12*m**4 - 8*m**2 - 4. Let y(o) = -o**4 - o + 1. Let k(z) = f*n(z) - 4*y(z). Factor k(q).
-4*q*(q - 1)*(q + 1)**3
Let j = -36955 - -36967. Factor j*b**2 + 27 - 63/2*b - 3/2*b**3.
-3*(b - 3)**2*(b - 2)/2
Let k = -289 + 258. Let u be (k/93)/(3 + 56/(-18)). Let 2/7*a**u + 6/7*a**2 + 0 + 4/7*a = 0. What is a?
-2, -1, 0
Let q be 6 - (139 + -124) - (-74)/8. Suppose -z**2 + 4 + z - q*z**3 = 0. What is z?
-4, -2, 2
Let f(h) be the first derivative of 5*h**4/4 - 1000*h**3 + 300000*h**2 - 40000000*h + 546. Let f(u) = 0. Calculate u.
200
Let r be ((-1571)/(-14139))/(7/27). Factor 60/7 - r*t**2 - 24/7*t.
-3*(t - 2)*(t + 10)/7
Factor 16/5*g**2 - 44/5 + 82/15*g + 2/15*g**3.
2*(g - 1)*(g + 3)*(g + 22)/15
Let p be -1 + 1 + 36/96*8. Determine g, given that 21736 + 6*g**2 + 20*g + 2*g**2 - 16*g**p + g**5 - 16*g**4 - 21728 - 5*g**5 = 0.
-2, -1, 1
Factor -194 + 19*z - 23*z + 14 - 21*z + 5*z**2.
5*(z - 9)*(z + 4)
Let t(k) = 8*k**2 - 183*k - 40. Let p(y) = y**2 - 2*y - 5. Let g(w) = -6*p(w) + 3*t(w). Find v, given that g(v) = 0.
-1/6, 30
Let k = 405434 + -405431. Let 5/4*f**k - 5*f + 2 - 1/2*f**2 = 0. What is f?
-2, 2/5, 2
Factor 4*s**3 - 287*s - 2202*s**2 - 2227*s**2 - 241*s - 2093*s**2 + 6778*s**2.
4*s*(s - 2)*(s + 66)
Solve 1052/11*m + 1050/11 + 2/11*m**2 = 0.
-525, -1
Suppose -568 = 5*s + w - 580, 9 = -2*s - 5*w. Solve 3/2*p**5 + 783/2*p**2 - 372*p - 339/2*p**s + 126 + 45/2*p**4 = 0.
-21, 1, 2
Let p = 1257062/188559 + -2/188559. Factor 125/3 - p*o**2 - 5/6*o**3 - 25/6*o.
-5*(o - 2)*(o + 5)**2/6
Let p(k) = 2*k**2 - 114*k - 36. Let x(n) = 6*n**2 - 2*n**2 - 3*n**2 - 1 + 4*n + 6*n - 11*n. Let r(f) = -p(f) - 4*x(f). Factor r(d).
-2*(d - 20)*(3*d + 1)
Factor 14*v + 40/7 + 76/7*v**2 + 18/7*v**3.
2*(v + 1)**2*(9*v + 20)/7
Let c(o) = 2*o**3 + 76*o**2 + 2*o + 76. Suppose -13*j + 24*j = -418. Let b be c(j). What is m in 20/7*m**2 - 16/7 + 0*m - 4/7*m**4 + b*m**3 = 0?
-2, -1, 1, 2
Suppose -6*y = -1396 - 308. Solve -y*r - 5*r**2 + 3*r**2 + 286*r + 12 = 0.
-2, 3
Let n(m) be the third derivative of m**5/15 + m**4/24 - m**3/6 - 143*m**2. Let q(k) = 46*k**2 - 133*k - 39. Let o(u) = 14*n(u) - 2*q(u). Factor o(b).
-4*(b - 8)*(9*b + 2)
Suppose -8*c + 57 - 137 = 0. Let k be (-4 - (-480)/125)/(4/c). Factor k*r**2 - 6/5*r + 0.
2*r*(r - 3)/5
Let p be 38/(-95) + -3 + 64/10. Let h(k) be the first derivative of -1/6*k**2 + 0*k - 7/18*k**p - 30. What is s in h(s) = 0?
-2/7, 0
Let a = -3233/20 - -647/4. Let c(w) be the first derivative of -1/15*w**3 + 15 + 6/5*w + a*w**2. Factor c(m).
-(m - 3)*(m + 2)/5
Let r(d) be the third derivative of -d**6/96 - 11*d**5/16 + 475*d**4/48 - 867*d**2. Suppose r(j) = 0. Calculate j.
-38, 0, 5
Let w(s) be the third derivative of -s**6/780 + 11*s**5/65 - 21*s**4/13 + 248*s**3/39 - 5*s**2 + 5*s - 26. Find t, given that w(t) = 0.
2, 62
Suppose -24 = -2*c + 4*j, -10*j + 9 = -3*c - 13*j. What is p in -47 - 532*p**2 - 84*p + c + 18*p**3 + 511*p**2 = 0?
-1, -5/6, 3
Let y be (28/(-11))/(20/(-88))*(-25)/(-30). Factor y*r + 1/3*r**2 + 196/3.
(r + 14)**2/3
Let m be (20 - 276/14) + 197307/(-91). Let n = m + 2169. Factor -12/13*g - 2/13*g**2 + n.
-2*(g - 1)*(g + 7)/13
Suppose 0 = 5*c + 4 + 16. Let x be (-6)/(6/2) - (1 + c). Factor 0 + 4 + 0 - 3*f**2 - x.
-3*(f - 1)*(f + 1)
Let t(x) be the second derivative of 3*x**5/20 + x**4/4 - 9*x**3/2 - 27*x**2/2 + 721*x. Factor t(w).
3*(w - 3)*(w + 1)*(w + 3)
Let v be (16 - 16)/(49 + -50). Factor v - 2/11*a**2 - 1/11*a**3 + 0*a.
-a**2*(a + 2)/11
Let f(b) = b**2 + 26*b - 27. Let r be f(-27). Let x(s) be the first derivative of r*s - 5 + 1/2*s**2 - 1/6*s**3. Factor x(o).
-o*(o - 2)/2
Let u = 378 + -610. Let a = 236 + u. Factor -1/4*r**3 - 1/4*r**2 + 1/4*r + 0 + 1/4*r**a.
r*(r - 1)**2*(r + 1)/4
Determine a so that 32/3 - 44/5*a - 2/15*a**3 + 2*a**2 = 0.
2, 5, 8
Let r(u) be the second derivative of 1/9*u**3 - 8*u + 0*u**2 - 1/40*u**5 + 1 + 1/18*u**4. Factor r(q).
-q*(q - 2)*(3*q + 2)/6
Let n(r) = -5*r**3 + 2899*r**2 + 5827*r + 2790. Let b(u) = -7*u**3 + 3865*u**2 + 7769*u + 3726. Let w(z) = 7*b(z) - 9*n(z). Factor w(p).
-4*(p - 243)*(p + 1)**2
Let f(q) be the second derivative of -q**5/20 - q**4/2 - 3*q**3/2 - 2*q**2 - 81*q + 3. Factor f(x).
-(x + 1)**2*(x + 4)
Let x(y) = -37*y - 31. Let r be x(12). Let o = 479 + r. Determine m so that 19/3*m**2 - 1/6*m**5 + 4/3 - 14/3*m + 4/3*m**o - 25/6*m**3 = 0.
1, 2
Let r = 148 + -146. Let a(w) = -w**2 - 22*w + 48. Let v be a(r). Factor -3*z**3 + 0 + 3/2*z**2 + v*z - 9/2*z**4.
-3*z**2*(z + 1)*(3*z - 1)/2
Let p = -514 + 510. Let w(m) = -m**4 - 5*m**2 - 2*m. Let u(d) = -3*d**4 - 10*d**2 - 5*d - 2. Let b(j) = p*u(j) + 10*w(j). Find f such that b(f) = 0.
-2, -1, 1, 2
Let q = 35 - -1. Let b be (-729)/(-189) + ((-2)/7)/(2 + -4). Factor p**4 - 3*p**5 + 17*p**4 + 0*p**b - 39*p**3 + 2*p - 14*p + q*p**2.
-3*p*(p - 2)**2*(p - 1)**2
Suppose 3*j = j. Suppose 3*k = -44*x + 70, 3*x = 8*x - 2*k - 22. Factor -1/4*v**x + 1/4 + j*v.
-(v - 1)*(v + 1)/4
Let r be 8/24 - 413/(-3). Factor -2*u**3 + 159*u + 5*u**3 - r*u - 9 - 15*u**2.
3*(u - 3)*(u - 1)**2
Let b(w) be the first derivative of 0*w + 22 - 4/27*w**3 + 26/9*w**2. Factor b(u).
-4*u*(u - 13)/9
Let x(t) = t**2 + 2*t - 2. Let v(l) = -10*l**2 + 452*l + 12. Let n(r) = -v(r) - 6*x(r). Factor n(f).
4*f*(f - 116)
Suppose 92 = 6*j + 152. Let q be (0*j/(-80))/(-2). Factor -3/2*d**2 + q + 3*d**3 - 3/2*d**4 + 0*d.
-3*d**2*(d - 1)**2/2
Let y(i) be the third derivative of -i**8/42 - 39*i**7/35 - 1181*i**