9 + 0*b + 41/2*b**3. Solve t(n) = 0.
-41, -1
Let p(o) be the first derivative of o**4/12 - 11*o**3/6 - 6*o**2 + 9*o + 122. Let y(t) be the first derivative of p(t). Factor y(n).
(n - 12)*(n + 1)
Suppose 0 = 5*b - 0*b + 35. Let t be b*(1 + (-50)/35). Suppose -2 - t*s + 6*s**3 + 0*s + s**2 - 7*s**4 + 8*s**4 - 3*s**3 = 0. What is s?
-2, -1, 1
Factor -11 - 751*k + 46 + 345*k - 2*k**3 + 22*k**2 + 344*k + 7.
-2*(k - 7)*(k - 3)*(k - 1)
Let l(c) be the third derivative of c**7/560 - c**6/144 - c**5/120 - 26*c**3/3 - c**2 - 5. Let n(q) be the first derivative of l(q). Factor n(o).
o*(o - 2)*(3*o + 1)/2
Let f(k) = -6*k**5 - k**3 - k**2 - k. Let i(n) = 32*n**5 + 48*n**4 + 94*n**3 - 426*n**2 - 462*n. Let w(h) = -6*f(h) - i(h). Let w(d) = 0. Calculate d.
-3, -1, 0, 3, 13
Determine v so that 5*v + 0 - 1/3*v**2 = 0.
0, 15
Suppose 0 = 6*c + 167 + 43. Let w(x) = -600*x**2 - 60*x + 35. Let q(y) = -50*y**2 - 5*y + 3. Let k(u) = c*q(u) + 3*w(u). Factor k(j).
-5*j*(10*j + 1)
Let y = 48386 + -48382. Factor 2/19*s**2 + 0*s**3 + 0 + 0*s - 2/19*s**y.
-2*s**2*(s - 1)*(s + 1)/19
Let g be (8 + 7670/(-969))*(-309)/(-46). Let r = g + 13/323. Factor 4/23*d + 2/23 + 8/23*d**3 - r*d**2.
2*(d - 1)**2*(4*d + 1)/23
Let z be (-138)/(-207) - (-36)/(-54). Solve 4/7*v**2 + 0*v + z + 2/7*v**4 + 6/7*v**3 = 0 for v.
-2, -1, 0
Find y, given that 0 + 5/6*y**4 - 85/6*y**3 - 5/6*y**2 + 85/6*y = 0.
-1, 0, 1, 17
Let v = 2509030/159 - 15780. Let p = 527/795 - v. Factor p - 3/5*i**4 - 6/5*i + 0*i**2 + 6/5*i**3.
-3*(i - 1)**3*(i + 1)/5
Solve 0 - 378/5*p**3 - 1152*p**2 - 6/5*p**4 + 6144/5*p = 0.
-32, 0, 1
Let v be (191/(-30))/(24/30) - (-25 - -17). Let r(n) be the second derivative of v*n**4 - n**2 + 0*n**3 - 6*n + 0. Let r(g) = 0. What is g?
-2, 2
Let i = -142685 - -142688. Factor 17/4*l**4 - 3/2*l**2 - 49/4*l**i + 0 + 0*l.
l**2*(l - 3)*(17*l + 2)/4
Let s(p) be the first derivative of p**4/4 + 4*p**3/3 - 11*p**2/2 + 6*p - 897. Let s(y) = 0. What is y?
-6, 1
Let z be -3*(-2*(-3)/(-6) - 0). Determine n, given that -17*n**2 - 170*n**z + 45*n**4 - 23*n**2 - 13 + 13 = 0.
-2/9, 0, 4
Let l(d) be the first derivative of -d**4/6 + 2*d**3 - 5*d**2 - 111*d - 80. Let b(r) be the first derivative of l(r). Find g such that b(g) = 0.
1, 5
Let -3*m**2 - 700 - 472*m - 2*m**2 - 356*m + 123*m = 0. Calculate m.
-140, -1
Let h = -11 - -35. Suppose -2 = h*p - 25*p. Suppose -4/9 - 14/9*o**2 + p*o = 0. Calculate o.
2/7, 1
Determine g so that -123/4*g + 30 + 3/2*g**3 - 237/4*g**2 = 0.
-1, 1/2, 40
Suppose 4*s + 6 = 2*n, 134*s - 27 = -5*n + 132*s. Let 3*o**4 - 18*o**n - 1136*o**3 - 240*o + 194*o**2 + 1194*o**3 + 72 - 69*o**4 = 0. What is o?
-3, 2/3, 1
Let g(h) be the second derivative of 9*h**7/28 - 157*h**6/20 - 143*h**5/20 + 71*h**4/6 + 6*h**3 + 2*h - 856. Solve g(o) = 0 for o.
-1, -2/9, 0, 2/3, 18
Let p(n) be the third derivative of -n**7/2940 - 11*n**6/1260 - n**5/42 + n**3/2 + 184*n**2. Let j(z) be the first derivative of p(z). Factor j(m).
-2*m*(m + 1)*(m + 10)/7
Suppose -4*p = -r + 19, 12*r = 17*r - p. Let m be ((-9)/(-15))/(r/(-5)). Factor 8/5*l**m + 0*l**4 - 4/5*l + 0 + 0*l**2 - 4/5*l**5.
-4*l*(l - 1)**2*(l + 1)**2/5
Factor -4029*w + 34*w**2 + 3847*w - 2*w**3 + 353 - 59.
-2*(w - 7)**2*(w - 3)
Let u(k) be the second derivative of 3*k**5/80 - k**4/64 - 149*k**2/2 - 2*k + 36. Let r(p) be the first derivative of u(p). Factor r(m).
3*m*(6*m - 1)/8
Let j(h) = -111*h**3 + 282*h**2 + 918*h + 519. Let r(w) = -w**4 - 222*w**3 + 565*w**2 + 1841*w + 1041. Let x(v) = 7*j(v) - 3*r(v). Factor x(a).
3*(a - 34)*(a - 5)*(a + 1)**2
Suppose -996 - 1762 = -14*a. Let w = -75 + a. Factor 92*m**2 - 223 - 96*m - w - 4*m**4 - 231 + 8*m**3.
-4*(m - 4)**2*(m + 3)**2
Let y(s) be the third derivative of s**6/600 + s**5/15 + 31*s**4/40 + 21*s**3/5 + 478*s**2 + 3*s. Suppose y(g) = 0. What is g?
-14, -3
Suppose -i - 3 = -2*b, -b - 9173*i + 9176*i = 1. Find q such that 2/3 - 7/3*q**4 + 28/3*q - 43/6*q**3 - 1/2*q**b = 0.
-2, -1/14, 1
Let p be ((-8)/430)/(34/7633) + 1. Let u = 1/43 - p. Solve -u*x**2 + 4/5*x + 16/5 - 4/5*x**3 = 0 for x.
-4, -1, 1
Let a = 23619/3146 + -12/1573. Suppose -1/4*k**2 + a*k - 225/4 = 0. What is k?
15
Suppose 3*r + 93 + 7 = 89*r - 72. Let 258/5*l**r + 18/5*l**4 + 28/15 - 254/15*l - 54*l**3 = 0. Calculate l.
1/3, 14
Let o(b) be the third derivative of 119*b**2 + 0*b + 1/20*b**5 + 1 + 12*b**3 + 5/4*b**4. What is c in o(c) = 0?
-6, -4
Solve 50/19*i**3 + 0 - 2*i**4 + 206/19*i**2 + 120/19*i - 2/19*i**5 = 0 for i.
-20, -1, 0, 3
Let s(t) be the first derivative of t**4/10 + 28*t**3/15 + 43*t**2/5 + 12*t - 1372. Factor s(q).
2*(q + 1)*(q + 3)*(q + 10)/5
What is a in 100 - 54*a - 33/4*a**4 - 367/4*a**2 + 1/4*a**5 + 215/4*a**3 = 0?
-1, 1, 4, 25
Let r(h) = -191*h**2 + 17229*h - 17220. Let j(x) = 110*x**2 - 9845*x + 9840. Let d(l) = 26*j(l) + 15*r(l). Factor d(f).
-5*(f - 492)*(f - 1)
Find m such that 207/5*m**2 + 3468/5 - 3672/5*m - 3/5*m**3 = 0.
1, 34
Let t = -3 + 3. Let p be (2/(-36))/((-10)/(-3 - -23)). Factor p*q**3 + 0*q**2 + t + 0*q.
q**3/9
What is k in 90*k**3 + 16*k**4 + 440*k + 128*k**2 + 144 + 3*k**2 - 18*k**2 + 235*k**2 - 12*k**4 = 0?
-18, -2, -1/2
Let r(c) be the third derivative of c**6/24 + 7*c**5/6 - 85*c**4/8 - 1134*c**2. Solve r(h) = 0.
-17, 0, 3
Let c(q) be the first derivative of -114466*q**5/75 - 14278*q**4/15 - 2816*q**3/15 - 16*q**2/3 + 32*q/15 - 591. Let c(h) = 0. Calculate h.
-2/11, 2/43
Let k(x) be the second derivative of -41*x + 2/3*x**3 - 1 + 2/15*x**4 - 1/25*x**5 - 12/5*x**2. Factor k(y).
-4*(y - 3)*(y - 1)*(y + 2)/5
Let a(b) be the first derivative of 0*b**3 - 20*b - 1/36*b**4 + 30 + 2/3*b**2. Let l(t) be the first derivative of a(t). Factor l(d).
-(d - 2)*(d + 2)/3
Let g(n) = 46742*n**2 + 46738*n - 1. Let p be g(-1). Factor p + 39/4*f**3 + 45/2*f**2 + 63/4*f.
3*(f + 1)**2*(13*f + 4)/4
Factor 148/21*o**2 - 94/7*o - 144/7 - 2/21*o**3.
-2*(o - 72)*(o - 3)*(o + 1)/21
Let b be -9 - ((-7)/(42/(-531)))/(-9). Suppose 1/3*p**2 - 3/2*p - b = 0. Calculate p.
-1/2, 5
Let m(p) = 10*p**3 - 79*p**2 - 65*p. Let l(h) = 27*h**3 - 231*h**2 - 194*h. Let a(v) = -3*l(v) + 8*m(v). Factor a(b).
-b*(b - 62)*(b + 1)
Suppose 71 = 3571*k - 3568*k + 5*l, -3*k - 6*l + 84 = 0. Factor 0*h + 3/4*h**3 + 25/8*h**4 - 9/8*h**5 + 0*h**k + 0.
-h**3*(h - 3)*(9*h + 2)/8
Let c(m) be the first derivative of 35/2*m**2 + 18 + 50*m + 5/3*m**3. Factor c(u).
5*(u + 2)*(u + 5)
Suppose 54/11*l - 2/11*l**5 - 4428/11 + 116*l**3 + 148/11*l**4 + 2952/11*l**2 = 0. What is l?
-3, 1, 82
Factor 305/3*i**3 + 0*i + 0 + 0*i**2 + 5/3*i**4.
5*i**3*(i + 61)/3
Let w(b) be the second derivative of -b**6/60 + 23*b**5/30 + 11*b**2/2 - b + 21. Let z(o) be the first derivative of w(o). Factor z(a).
-2*a**2*(a - 23)
Let t be (6 - 51/9)/(2/18). Let w = 48/23 - 173/138. Factor w*o**2 - 5/2*o**t + 0*o + 0.
-5*o**2*(3*o - 1)/6
Let y(w) be the second derivative of -w**5/20 - 283*w**4/6 - 40880*w**3/3 - 235200*w**2 + 12155*w. Let y(t) = 0. Calculate t.
-280, -6
Let x = -12143 - -12143. Suppose 3/8*o**2 + 21/4*o + x = 0. Calculate o.
-14, 0
Let g be (-28)/6*-3 - (10 - 199)/(-21). Suppose -32/3*w**2 + 0 - 79/9*w**4 + w**g + 22*w**3 - 32/9*w = 0. What is w?
-2/9, 0, 1, 4
Let w be 2/((-35)/(-5) + -6). Solve 2*c**2 + 17*c**w + 3*c**3 - 21 + 2*c**2 - 3*c = 0.
-7, -1, 1
Factor 550*m**3 + 8*m**2 - 226*m**3 - 325*m**3 + 9*m.
-m*(m - 9)*(m + 1)
Suppose 28*u - 283*u + 647 + 572 = -56. Solve 19/2*l**4 + 2*l**u + 27/2*l**3 + 4*l**2 + 0 - 2*l = 0 for l.
-2, -1, 0, 1/4
Let d(a) be the second derivative of -a**5/25 - 27*a**4/5 - 1458*a**3/5 - 39366*a**2/5 + 302*a - 2. Factor d(o).
-4*(o + 27)**3/5
Let p be 5 - 0/(2 + 5). Suppose -3*n = p*l + 11 + 11, 2*n = 5*l + 27. Factor -11/3*c**2 + 5/6*c**3 - n + 23/6*c.
(c - 3)*(c - 1)*(5*c - 2)/6
Let j(i) be the third derivative of i**5/270 + i**4/4 + 140*i**3/27 - 984*i**2 + 2*i. Factor j(b).
2*(b + 7)*(b + 20)/9
Let j be (-46)/253 + 120/55. Factor -2/9*h**4 + 0 + 26/9*h**3 + 8*h - 32/3*h**j.
-2*h*(h - 6)**2*(h - 1)/9
Let t(z) = z**2 - 134*z + 2642. Let q be t(110). Factor 2/3*d**q - 2/9*d - 2/3*d**3 + 0 + 2/9*d**4.
2*d*(d - 1)**3/9
Let -3404/15*t**2 - 6/5*t**4 + 192/5 - 466/15*t**3 - 320*t = 0. What is t?
-12, -2, 1/9
Let -247009421 - 296346968*l - 2111760*l**2 - 4*l**4 - 47230815 - 1123*l**3 - 3909*l**3 = 0. What is l?
-419, -1
Let k(l) be the th