2 - 15*h**4 + c*h - 12/5 + 42*h**3.
-3*(h - 1)**2*(5*h - 2)**2/5
Suppose 13*s = -153*s - 9*s - 210*s. Let r(c) be the second derivative of -2/5*c**2 - 2/15*c**4 - 5*c + s + 2/5*c**3. Factor r(d).
-4*(d - 1)*(2*d - 1)/5
Let k(h) be the first derivative of 82 + 398*h**3 + 6666*h**2 + 27/4*h**4 + 2904*h. Find d such that k(d) = 0.
-22, -2/9
Find p such that 0 + 292/3*p - 8/3*p**4 - 96*p**2 - 196*p**3 = 0.
-73, -1, 0, 1/2
Let k be 1886/82 - (426/21 - -2). Solve -23/7*a**2 + k*a**4 - 5/7*a - a**3 + 6/7 = 0.
-1, 2/5, 3
Let b = -168815/11 - -15347. Factor -157464/11*a - 216/11*a**3 + 1062882/11 + b*a**4 + 8748/11*a**2.
2*(a - 27)**4/11
Let c be (-2)/(-19) - (-1613960)/439470. Factor 0 - c*v**5 + 0*v - 4*v**4 - 2/9*v**3 + 0*v**2.
-2*v**3*(v + 1)*(17*v + 1)/9
Suppose 2774*w = 2767*w + 28. Let q(j) be the second derivative of 0*j**6 - 3/100*j**5 - 1/30*j**w + 0*j**3 + 0 - 6*j + 0*j**2 + 1/210*j**7. Factor q(m).
m**2*(m - 2)*(m + 1)**2/5
Let l(s) be the third derivative of s**6/210 + s**5/7 + 9*s**4/7 + 80*s**3/21 - 601*s**2. What is m in l(m) = 0?
-10, -4, -1
Let j = 4822 + -4805. Let r(h) be the second derivative of 1/60*h**6 + 1/6*h**2 - 5/72*h**4 + 0 - 1/36*h**3 - j*h + 1/120*h**5. Factor r(i).
(i - 1)*(i + 1)**2*(3*i - 2)/6
Let 88/5*o**2 - 112/5 - 1/5*o**5 + 37/5*o**3 - 12/5*o + 0*o**4 = 0. Calculate o.
-4, -2, 1, 7
Let m = -78079 + 231929/3. Let g = m - -770. Factor 0 + 0*r - g*r**4 + 2/3*r**3 + 0*r**2.
-2*r**3*(r - 1)/3
Let l(p) = 3*p**2 - 4095*p - 2121795. Let z(s) = 5*s**2 - 6140*s - 3182692. Let b(c) = 8*l(c) - 5*z(c). Factor b(x).
-(x + 1030)**2
Let v(d) = -d**3. Let b = -5 + 8. Let j(q) = -2 + 22*q**2 + 2 - 19*q**2. Let z(n) = b*v(n) - j(n). Find m, given that z(m) = 0.
-1, 0
Let s(x) = -8*x**2 + 18*x + 5. Let h be s(0). Let w(d) be the third derivative of 1/12*d**6 - 1/12*d**h - 5/12*d**4 + 0 + 5/6*d**3 + 0*d - 3*d**2. Factor w(u).
5*(u - 1)*(u + 1)*(2*u - 1)
Suppose -53*t + 50*t + 18 = -4*x, -8*t = -48. Factor -2/3*m**2 + x + 0*m - 2/3*m**3.
-2*m**2*(m + 1)/3
Let h(i) = 58*i + 92. Let r be h(14). Let n = -904 + r. Factor -2/3*l**2 + n + 2/3*l.
-2*l*(l - 1)/3
Suppose -32 = -23*o + 60. Let p be 25/20 - (4 + (o - 7)). Factor 1/4*m**3 + p*m**4 - m**2 + 0 - m.
m*(m - 2)*(m + 1)*(m + 2)/4
Let v(x) be the first derivative of -2*x**5/5 - 6253*x**4/2 - 39112513*x**3/6 - 9773439*x**2 - 4885938*x + 3399. Factor v(b).
-(b + 3126)**2*(2*b + 1)**2/2
Factor 8*h + 124*h**2 + 160*h**2 - 280*h**2.
4*h*(h + 2)
Factor -2*p**2 - 117*p**4 - 3826*p**3 + 8*p + 3838*p**3 - 16*p**2 + 115*p**4.
-2*p*(p - 4)*(p - 1)**2
Suppose -11*k = -38 - 28. Factor -k - 3*v**4 + 1082*v**2 - 3 - 6*v - 1070*v**2 + 6*v**3.
-3*(v - 3)*(v - 1)*(v + 1)**2
Factor -6*x**2 + 15*x**3 - 4*x**2 + 8*x**2 - 3*x**4 - 4*x**2 - 82*x + 58*x.
-3*x*(x - 4)*(x - 2)*(x + 1)
Suppose -5*u + 6*j - j + 595 = 0, 5*j - 101 = -u. Find q such that -185*q**3 - 214*q**2 - 105*q - 115*q - u*q**2 - 9*q**4 - 40 - 26*q**4 = 0.
-2, -1, -2/7
Solve -21/5*u**3 + 42/5*u + 4/5*u**4 + 0 - 5*u**2 = 0.
-7/4, 0, 1, 6
Let d be (-13)/(117/12)*(-3)/2. Suppose 0 = 2*u + 2*f, -7*u - 6 = -8*u + d*f. Determine s, given that -4*s**u - 9 + 2*s**2 - s**2 + 12*s = 0.
1, 3
Let h be 4/(-3)*(7 + 2). Let m(f) = -f**3 - 13*f**2 - 14*f - 22. Let v be m(h). Find t, given that -2 + 25*t**v + 11 + 5*t**3 + 35*t - 6 + 12 = 0.
-3, -1
Let j(k) be the third derivative of k**5/20 - 59*k**4/4 + k**2 + 2121*k. What is t in j(t) = 0?
0, 118
Let f(u) be the third derivative of u**8/1512 - 2*u**7/189 + u**6/60 - 16*u**2 + 3*u + 1. Determine o, given that f(o) = 0.
0, 1, 9
Let c(m) be the second derivative of -m**4/78 - 106*m**3/39 - 16*m**2 + 6*m - 58. Factor c(h).
-2*(h + 2)*(h + 104)/13
Let x be (473/22 + -12)*2. Suppose 5*s = 2*n + x, 3*s = -3*n - 0*s + 24. Determine q so that -1/6 + q**5 - 2*q**n + q + 1/3*q**2 - 1/6*q**4 = 0.
-1, 1/6, 1
Let y(h) be the first derivative of -5*h**6/6 + 25*h**5 - 995*h**4/4 + 2375*h**3/3 + 500*h**2 - 2500*h + 1684. What is k in y(k) = 0?
-1, 1, 5, 10
Let r = 30976/4555 + -2/4555. Let g(w) be the first derivative of 4/5*w + 289/15*w**3 + r*w**2 + 16. What is v in g(v) = 0?
-2/17
Suppose 234*k - 11330 = 224*k. Solve 2260*g**2 - 120 + 44*g - k*g**2 - 1131*g**2 = 0.
5, 6
Suppose 0 = -9*w + 22*w - 26. Let -286*n - 9538*n**2 + w*n**4 + 4*n - 180 + 9428*n**2 - 6*n**3 = 0. Calculate n.
-3, -1, 10
Let n(v) be the third derivative of 9*v**2 - v - 5/9*v**3 + 0 - 19/144*v**4 + 1/360*v**5. Suppose n(k) = 0. Calculate k.
-1, 20
Let p(n) be the third derivative of 3025/2*n**3 - 55/4*n**4 + 0 + 14*n + 1/20*n**5 - 5*n**2. Solve p(z) = 0 for z.
55
Let s(g) = -g**3 + 107*g**2 - 606*g + 5. Let w be s(6). Factor -1/3*r + 0 - w*r**3 - 7/3*r**2 - 3*r**4.
-r*(r + 1)*(3*r + 1)**2/3
Suppose 58*l - 3 = 57*l. Suppose 0 = 2*f + 2*n - 50, -2*f + 2*n + n = -25. What is y in f*y**2 - 5*y**5 - 40*y**l - 40*y**4 + 114*y**4 - 49*y**4 = 0?
0, 1, 2
Suppose -423*g - 111*g**2 - 98*g**2 - 4 + 4 + 212*g**2 = 0. Calculate g.
0, 141
Let p = -307 - -610. Let u = p + -301. Factor -12/13*i**u - 2/13 - 2/13*i**4 - 8/13*i - 8/13*i**3.
-2*(i + 1)**4/13
Let z(c) be the second derivative of 1/63*c**7 - 4/45*c**6 + c + 1/30*c**5 + 0*c**2 + 1/3*c**4 + 15 + 0*c**3. Determine s, given that z(s) = 0.
-1, 0, 2, 3
Let y(m) be the first derivative of -2*m**5/5 - 107*m**4/2 - 2442*m**3 - 34225*m**2 + 405224*m + 2364. Suppose y(o) = 0. Calculate o.
-37, 4
Suppose -4*m + 2*n = -154, n - 52 + 53 = 0. Let u(q) be the first derivative of 0*q - m - 5/4*q**2 + 5/8*q**4 + 0*q**3. Solve u(j) = 0 for j.
-1, 0, 1
Let q = -1924 + 1929. Let t(f) be the second derivative of -1/130*f**q + 0 + 0*f**3 - 15*f + 0*f**4 + 0*f**2 - 1/195*f**6. Find k, given that t(k) = 0.
-1, 0
Factor -430*g + 138675 + 1/3*g**2.
(g - 645)**2/3
Factor 60*h**2 + 13*h**3 + 0 + 0*h + 1/2*h**4.
h**2*(h + 6)*(h + 20)/2
Factor 24 - 16/3*w**2 - 1/6*w**4 - 2*w**3 + 8*w.
-(w - 2)*(w + 2)*(w + 6)**2/6
Let f(k) be the first derivative of 40*k**6/9 - 488*k**5/15 - 1123*k**4/12 - 721*k**3/9 - 91*k**2/3 - 16*k/3 - 579. What is v in f(v) = 0?
-1, -2/5, -1/4, 8
Factor -3/7*o**2 + 0 - 3912/7*o.
-3*o*(o + 1304)/7
Let m(w) = 8*w**3 - 144*w**2 - 704*w - 5. Let b(y) = -84*y**3 + 1512*y**2 + 7392*y + 52. Let l(f) = 5*b(f) + 52*m(f). Factor l(u).
-4*u*(u - 22)*(u + 4)
Let g(p) be the third derivative of p**6/60 + 11*p**5/30 - p**4 + 626*p**2. Let b be g(-12). Factor 12/5*n**4 + 0 + b*n + 0*n**2 - 3/5*n**5 + 3*n**3.
-3*n**3*(n - 5)*(n + 1)/5
Let l(p) be the second derivative of p - 1/72*p**4 + 2 + 47/36*p**3 - 23/6*p**2. Suppose l(y) = 0. What is y?
1, 46
Let q be ((-52)/325)/(12/(-10)). Let s be (-2)/(-13) - (-88)/780. Find a, given that q*a**2 - 2/15*a - s = 0.
-1, 2
Let c be (-1572)/(-630) - 11/((-4389)/(-38)). Suppose -c + 2/5*x**3 + 8/5*x**2 + 2/5*x = 0. Calculate x.
-3, -2, 1
Let n be -1 + ((-211)/(-11))/1. Let f be (-165 - (-313130)/1903)*6/(-15). Factor f*q**3 + 40/11*q**2 + 0 + n*q.
2*q*(q + 10)**2/11
Suppose -3*s + 716 = -0*s - 2*o, -4*s - 5*o = -924. Let p = -234 + s. Find m, given that -2*m**4 - 2/5*m**5 + 28/5*m**p + 6/5*m - 18/5 - 4/5*m**3 = 0.
-3, -1, 1
Let n(u) = 323*u**2 + 748*u - 226. Let l(f) = -108*f**2 - 243*f + 75. Let z(i) = -10*l(i) - 3*n(i). Factor z(y).
3*(y + 2)*(37*y - 12)
Let m(r) be the second derivative of -3*r**6/55 - 137*r**5/110 - 5*r**4/11 + 8698*r. Factor m(w).
-2*w**2*(w + 15)*(9*w + 2)/11
Let g(c) be the first derivative of -c**4/20 - 14*c**3/5 - 77*c**2/10 + 24*c + 2312. Suppose g(l) = 0. What is l?
-40, -3, 1
Let t be (44/10)/(4/20). Let l be 10/20 + (-228)/(-8) + 5. What is k in 10*k**5 + 38*k**3 + l*k**4 + 4*k**3 + 261*k - 257*k + t*k**2 = 0?
-1, -2/5, 0
Let w(r) = 28880*r - 57756. Let u be w(2). Suppose 17/4*f**3 - 2*f - f**u + 3 - 17/4*f**2 = 0. Calculate f.
-3/4, 1, 2
Suppose 6/5*o**3 + 0 + 0*o - 4/5*o**2 - 2/5*o**4 = 0. What is o?
0, 1, 2
Let b(n) be the second derivative of -20/23*n**2 + 1/138*n**4 + 0 - 10*n + 1/69*n**3. Factor b(s).
2*(s - 4)*(s + 5)/23
Suppose 36*w - 27*w = 18. Solve 452*t**2 + 5*t**3 + 6*t**3 - 13*t - 6*t**3 + 73*t - 387*t**w = 0 for t.
-12, -1, 0
Let d(t) = 6*t**3 - 69*t**2 + 74*t. Let f(n) = 5*n**3 - 63*n**2 + 74*n. Let g(k) = 4*d(k) - 5*f(k). Factor g(p).
-p*(p - 37)*(p - 2)
Let z be (-32203)/(-39) + ((-6)/9)/2. Let h = 826 - z. Factor 2/13*p + 0*p**3 - h*p**4 + 0 + 