1800 - j**5/10 + 25*j**4/2 + 225*j. Let w(r) be the third derivative of u(r). Factor w(b).
2*(b - 3)*(b + 10)/5
Let d(b) be the first derivative of b**3/9 - 145*b**2/6 + 286*b/3 - 69. Factor d(j).
(j - 143)*(j - 2)/3
Suppose 4*g - 5*s + 7 = 0, 0*g - 18 = -3*g - 4*s. Determine o so that 5075*o + 5*o**3 + 12 - 2 + 20*o**g - 5050*o = 0.
-2, -1
Let l(g) be the second derivative of -g**4/6 + 380*g**3/21 - 108*g**2/7 + 3*g - 1106. Suppose l(h) = 0. Calculate h.
2/7, 54
Let r(x) be the first derivative of -16/7*x**2 - 50/21*x**3 - 8/7*x - 19/14*x**4 + 65 - 1/21*x**6 - 2/5*x**5. Factor r(l).
-2*(l + 1)**3*(l + 2)**2/7
Factor 0 + 2/9*z - 2/3*z**2 + 4/9*z**3.
2*z*(z - 1)*(2*z - 1)/9
Let n(c) be the second derivative of 151*c + 0 - 5/8*c**3 - 3/8*c**4 - 1/4*c**2. Factor n(z).
-(3*z + 2)*(6*z + 1)/4
Let l(n) = -3*n**3 - 283*n**2 + 2148*n - 4192. Let q(s) = 2*s**3 + 142*s**2 - 1076*s + 2096. Let d(o) = 3*l(o) + 5*q(o). Let d(m) = 0. What is m?
4, 131
Let f = -253381/2 + 126710. Find j, given that -f - 1/2*j**2 - 20*j = 0.
-39, -1
Let d = 10531/7 - 1504. Let z(h) be the first derivative of -4/21*h**3 + 1/21*h**6 + 46 - 2/7*h**4 + d*h**2 + 4/7*h + 0*h**5. Factor z(g).
2*(g - 2)*(g - 1)*(g + 1)**3/7
Let q be (-5)/(-20) + -5 + (-5)/(-2)*2. Let b(k) be the second derivative of -1/16*k**4 + 0 + 7*k - q*k**3 + 0*k**2. Determine n so that b(n) = 0.
-2, 0
Find o such that 66/5*o**2 + 2/5*o**5 - 72/5*o - 72/5 + 26/15*o**3 - 38/15*o**4 = 0.
-2, -2/3, 3
Let n(w) be the third derivative of -1/420*w**6 + 0 + 0*w**3 + 26*w**2 - 1/30*w**5 + 0*w - 1/7*w**4. What is a in n(a) = 0?
-4, -3, 0
Suppose 17*n = 7 + 44. Factor -i - 3*i**2 + n - 2*i + 2*i + i**3.
(i - 3)*(i - 1)*(i + 1)
Let v be (38 - 32)*(6585/14)/(-3). Let q = v - -941. Factor 1/7 + q*k**3 + 1/7*k**5 + 2/7*k**2 - 3/7*k - 3/7*k**4.
(k - 1)**4*(k + 1)/7
Let l be (0 - (-4)/(-10))/((-280)/13650). Factor 3/2*m**2 - 21 - l*m.
3*(m - 14)*(m + 1)/2
Let f be 13/130 - 1337/14770. Let p = f + 2104/633. Let 2/3*x**2 + 4*x + p = 0. What is x?
-5, -1
Suppose -15*i + 28*i - 26 = 0. Factor 9*p - 37*p**3 - 20*p**4 - 14*p - 3*p**3 + 0*p**4 - 25*p**i.
-5*p*(p + 1)*(2*p + 1)**2
Suppose 362*f + 3*f**2 + 882909 + 256*f - 882909 = 0. What is f?
-206, 0
Let c(m) = m**3 - 14*m**2 + 25*m - 7. Let k be 4*2*(-30)/(-20). Let i be c(k). Factor -i*b - 2*b**2 - 10*b**4 + 12*b**2 + 0*b**2 + 0*b + 5*b**3.
-5*b*(b - 1)*(b + 1)*(2*b - 1)
Factor 2453 + 2468*y**2 - 46*y**3 + 7 + 42*y**3 - 1914*y - 3010*y.
-4*(y - 615)*(y - 1)**2
Let p(j) be the first derivative of 2*j - 150 + 3/2*j**2 + 1/3*j**3. Factor p(v).
(v + 1)*(v + 2)
Suppose 9*f - a + 139 = 13*f, 2*a + 10 = 0. Let l = -34 + f. Factor -17/9*c**l - 5/9*c**3 - 4/9 - 16/9*c.
-(c + 1)*(c + 2)*(5*c + 2)/9
Factor 2/11*x**2 + 3372/11*x + 1421298/11.
2*(x + 843)**2/11
Let h(n) be the third derivative of -n**6/60 + 19*n**5/60 - n**4/24 - 19*n**3/6 - n**2 + 6*n. Let o(k) = k**2 - k - 1. Let u(i) = 2*h(i) - 6*o(i). Factor u(g).
-4*(g - 8)*(g - 1)*(g + 1)
Let y = -140 - -154. Let g be ((-3)/y)/((-540)/63 - -6). Factor -1/6*w + g + 1/12*w**2.
(w - 1)**2/12
Let d(g) be the second derivative of -g**7/21 - 7*g**6/3 + g**5/5 + 35*g**4/3 - g**3/3 - 35*g**2 + 1036*g. Suppose d(j) = 0. What is j?
-35, -1, 1
Let s(r) be the third derivative of 0 - 3/70*r**7 + 0*r**4 + 105*r**2 + 1/112*r**8 + 7/20*r**5 - 1/40*r**6 + 0*r - 2*r**3. Suppose s(c) = 0. Calculate c.
-1, 1, 2
Let m(a) be the third derivative of 1/35*a**7 + 0*a + 0*a**3 + 7/100*a**6 + 0 + 0*a**4 + 1/25*a**5 - 106*a**2. Let m(d) = 0. What is d?
-1, -2/5, 0
Let k(o) = -o + 1. Let u be k(-1). Let f = 4357964/5 - 871588. Factor 11/5*v**u - 1/5*v**3 - f*v - 36/5.
-(v - 6)**2*(v + 1)/5
Let g(z) be the third derivative of z**6/180 - 61*z**5/9 + 827*z**2 + z. Factor g(m).
2*m**2*(m - 610)/3
Let u be (-1 - 7 - -2) + 8. Factor -11*q + 0*q**u - 4*q + 0*q**2 - 7 + 9*q + q**2.
(q - 7)*(q + 1)
Let t(w) = 11*w**2 - 3*w + 46. Let d(v) = 15*v**2 - 2*v + 48. Let p(o) = 3*d(o) - 4*t(o). Factor p(f).
(f - 4)*(f + 10)
Let c be 10/4*(4 - (-2 - -4)). Determine o, given that c*o**2 - 3*o**3 - 5*o**4 - 7*o**3 + 5*o + 10*o**3 - 5*o**3 = 0.
-1, 0, 1
Let i(u) = -11*u - 282. Let p be i(-27). Determine o, given that 24*o**3 - 5*o**4 + 22*o - p*o**2 - 45*o + 19*o = 0.
-1/5, 0, 1, 4
Let r(z) = 20*z + 217. Let l be r(-45). Let g = 687 + l. Solve 2/9*h**2 - 2/3*h**3 - 2/9*h**g + 2/9*h**5 + 0 + 4/9*h = 0 for h.
-1, 0, 1, 2
Let v = 216 + -204. Let g be (-6)/(v/35)*16/(-220). Factor -10/11*l**2 - g + 26/11*l - 2/11*l**3.
-2*(l - 1)**2*(l + 7)/11
Let a = -1357 + 1377. Let z(m) be the third derivative of 0*m - 64/39*m**3 - 1/65*m**6 + 0 - a*m**2 - 2/15*m**5 - 8/13*m**4 - 1/1365*m**7. Solve z(x) = 0.
-4, -2
Let i(m) = -m + 17. Let h(c) = 2*c**3 - 21*c**2 - 9*c - 9. Let z be h(11). Let r be i(z). Let 11*p + 15*p - r*p + 6*p - 98 - 2*p**2 = 0. What is p?
7
Suppose 11*c - 8*c = 21. Suppose -j - c = -0*j - 2*l, -3*l + 7 = -5*j. Suppose -214*x**3 + 215*x**3 + j - 1 = 0. What is x?
0
Let t be (-65)/60*3 - (-1940)/400. Find k, given that 48/5 - 44/5*k + t*k**2 + 1/5*k**3 = 0.
-12, 2
Let z(t) = 3*t - 10. Let a be z(4). Suppose 2*c**2 - c + 103*c**3 + 2*c - 4*c**a - 102*c**3 = 0. What is c?
0, 1
Let r(h) be the third derivative of h**6/540 - 7*h**5/54 + 403*h**4/108 - 169*h**3/3 - 4848*h**2. Factor r(s).
2*(s - 13)**2*(s - 9)/9
Let k(w) be the first derivative of -4*w**3/3 - 72*w**2 + 2068*w + 2889. Determine v so that k(v) = 0.
-47, 11
Let q(p) be the second derivative of -3*p**5/20 - 6*p**4 - 101*p**3/2 - 171*p**2 - 2*p - 1295. Find k such that q(k) = 0.
-19, -3, -2
Let h(p) = 7*p**3 + 11*p**2 - 18*p + 12. Let o = 616 + -615. Let c(b) = b**3 + b**2 - 2*b + 2. Let z(u) = o*h(u) - 6*c(u). Factor z(i).
i*(i - 1)*(i + 6)
Let p = -64072221 + 272242876727/4249. Let g = 2/607 + p. Solve -g + 16/7*r**4 + 38/7*r**3 - 10/7*r**5 - 4*r**2 - 8*r = 0 for r.
-1, -2/5, 2
Let q(h) = 12*h - 11. Let n be q(2). Suppose 2*s = 67 + n. Factor 2 - 18*j - s*j**3 - 4 - 41*j**2 - 20*j**2 - 5*j.
-(j + 1)*(5*j + 2)*(8*j + 1)
Suppose 0 = -4*d + 276*j - 275*j + 16, -5*d - 5*j - 5 = 0. Factor 116/7*r**2 - 520/7*r - 400/7 - 6/7*r**d.
-2*(r - 10)**2*(3*r + 2)/7
Let o(r) = 35*r**2 - 2415*r + 2350. Let z(u) = -5*u**2 + 345*u - 336. Let q(h) = -2*o(h) - 15*z(h). Determine c, given that q(c) = 0.
1, 68
Suppose -15*k + 233 + 172 = 0. Let p be 2/(2 - 36/k). Determine z so that 2/3*z**p + 0 - 4/3*z**2 + 2/3*z**4 + 0*z = 0.
-2, 0, 1
Factor 148/7*w + 4/7*w**2 + 0.
4*w*(w + 37)/7
Let z be (-8)/(24/(-9))*-9. Let t = 31 + z. Factor 3*a**5 + 3*a - 6*a**2 + 11*a + 6*a**3 - 3 + 9*a**t - 23*a.
3*(a - 1)*(a + 1)**4
Let b(c) be the third derivative of 7*c**6/160 + 979*c**5/80 + 833*c**4/32 - 139*c**3/8 + 26*c**2 + 48. Suppose b(n) = 0. What is n?
-139, -1, 1/7
Let k(u) = u**4 - 541*u**3 - 10*u**2 + 514*u + 18. Let l(w) = w**4 - 271*w**3 - 5*w**2 + 259*w + 8. Let y(o) = -4*k(o) + 9*l(o). Factor y(c).
5*c*(c - 55)*(c - 1)*(c + 1)
Let b be (0 - (-5 - 1))*(-5)/(-130)*13. Let t(a) be the second derivative of 0*a**2 - 6*a + 1/51*a**4 + 4/255*a**6 + 7/170*a**5 - 1/51*a**b + 0. Factor t(g).
2*g*(g + 1)**2*(4*g - 1)/17
Let v be (-30)/3*12/10. Let d be ((-33)/v)/(3/12). Let 8 + d*l - 23*l + l**3 - 8*l**2 + 15*l**3 - 4*l**5 = 0. Calculate l.
-2, -1, 1
Let p(g) be the second derivative of -g**5/15 + 3*g**4/2 - 28*g**3/3 + 17*g**2 - 7*g. Let d(j) be the first derivative of p(j). Let d(r) = 0. Calculate r.
2, 7
Let v(t) be the first derivative of -19*t**3/12 + 37*t**2/4 + 2*t - 6071. Factor v(z).
-(z - 4)*(19*z + 2)/4
Suppose 4*d = -5*q - 10, -3*q = d + 4 - 5. Let -24*f**3 - q*f**2 + 45*f**3 - 26*f**3 - 3*f**4 = 0. What is f?
-1, -2/3, 0
Find y such that -7/2*y**2 + y + 20 + 1/2*y**3 = 0.
-2, 4, 5
Let u(q) = -872*q + q**2 + 872*q. Let n(h) = 3*h**4 - 9*h**3 - 43*h**2 - 51*h - 18. Let l be 72/39 - 16/(-104). Let m(z) = l*u(z) - n(z). Factor m(p).
-3*(p - 6)*(p + 1)**3
What is t in -24 - 75/2*t - 57/4*t**2 - 3/4*t**3 = 0?
-16, -2, -1
Let j(q) be the first derivative of q**4/120 + 11*q**3/60 + 3*q**2/2 + 110*q + 96. Let u(s) be the first derivative of j(s). Factor u(z).
(z + 5)*(z + 6)/10
Suppose -1/4*f**4 + 0 - 35*f**3 + 207/2*f - 273/4*f**2 = 0. Calculate f.
-138, -3, 0, 1
Let h = -143507 + 143510. Let -1/6*w**4 + 0 - 8/3*w**2 - 7/6*w**h - 2*w = 0. Calculate w.
-