. Find h such that v(h) = 0.
-1, 1
Let a(u) be the third derivative of u**7/4620 - 7*u**6/1980 - u**5/66 + 4*u**4/33 + 71*u**3/2 - 142*u**2. Let i(s) be the first derivative of a(s). Factor i(l).
2*(l - 8)*(l - 1)*(l + 2)/11
Let r(k) = 4*k**2 + 9*k - 7. Let d be r(-3). Factor 14*s**3 + 0*s**4 - 5*s**3 - 15*s**2 + 3*s**3 + 5*s**4 + 20 - 20*s - d*s**3.
5*(s - 1)**2*(s + 2)**2
Let n = -270958/3 - -90321. Determine b so that 130/3*b - 845/3*b**2 - n = 0.
1/13
Find j, given that 8/5*j**2 - 33/5*j**4 + 0*j - 7/5*j**5 + 0 - 18/5*j**3 = 0.
-4, -1, 0, 2/7
Let s(i) be the third derivative of -i**5/180 - 232*i**4/9 - 430592*i**3/9 - 1167*i**2. What is m in s(m) = 0?
-928
Determine q so that -99/4*q + 1/12*q**4 - 23/12*q**3 + 55/4*q**2 - 81/2 = 0.
-1, 6, 9
Factor 209/5*s - 159/5 - 1/5*s**3 - 49/5*s**2.
-(s - 3)*(s - 1)*(s + 53)/5
Let w(s) be the first derivative of 0*s + 59 + 0*s**2 - 1/4*s**4 - 1/3*s**3. Let w(o) = 0. What is o?
-1, 0
Let t be 92/6*(-135)/(-6). Let b = t - 2069/6. Factor -1/2*m**4 + b*m**5 + 1/3*m**3 + 1/6 - 1/2*m + 1/3*m**2.
(m - 1)**4*(m + 1)/6
Determine c, given that -13*c**3 + 19*c**3 + 2*c**4 - 2*c**2 - 2*c**5 + 5*c - 9*c = 0.
-1, 0, 1, 2
Let n(z) be the third derivative of -z**5/540 - 9*z**4/4 - 485*z**3/54 + 707*z**2 - 2*z - 1. What is v in n(v) = 0?
-485, -1
Suppose 3*h - 3 = 15. Let r be (-1)/(-2)*36/h. Factor 8*s**5 + 5*s**4 + 5*s**3 - 7*s**r - s**5.
s**3*(s + 1)*(7*s - 2)
Let v(q) be the first derivative of q**4/10 + 182*q**3/15 - 92*q**2/5 + 132. Let v(g) = 0. What is g?
-92, 0, 1
Suppose 18*h - 1024 = -178. Suppose 4*z = -z + 20. Determine c so that -4*c**5 + 7*c**4 + 44*c**3 + c**z - 95*c**3 + h*c**3 = 0.
0, 1
Determine k so that 0*k + 0 - 17/11*k**3 - 1/11*k**5 - 8/11*k**2 - 10/11*k**4 = 0.
-8, -1, 0
Find n such that -8*n + 18 - 1/2*n**2 = 0.
-18, 2
Let f = 3070 + -12269/4. Let g(i) be the second derivative of -27/10*i**5 + 0 + f*i**3 - 3*i**4 - 3/4*i**2 - 5*i. Factor g(v).
-3*(v + 1)*(6*v - 1)**2/2
Let s = -4469/975 - -1598/325. Factor -s*i**2 + 1/3*i**3 - 4/3*i + 4/3.
(i - 2)*(i - 1)*(i + 2)/3
Suppose -14307 = -200*a - 13707. Let -1/3*c**2 + 1/3*c**a + 1/6*c**5 - 1/6 + 1/2*c**4 - 1/2*c = 0. Calculate c.
-1, 1
Let j be -6 + 63 + 12870/(-240). Let 9/8*m**4 + j*m**3 - 3/4*m**5 + 0 + 3/8*m**2 - 9/8*m = 0. Calculate m.
-1, 0, 1/2, 3
Let y be (5/(-2))/(1572/(-152) - -10) - 7. Let l(m) be the first derivative of y*m**3 - 25 + 1/26*m**4 + 8/13*m + 9/13*m**2. Suppose l(x) = 0. What is x?
-4, -1
Suppose -205 = -56*v + 51*v. Suppose 97*p**3 - 8*p**2 + 30*p - 5 - 99*p**3 + v = 0. What is p?
-6, -1, 3
Let z be (-5 - 639/(-36)) + -12. Suppose -4*h + 2*v = -6, -2*h + 3*v = -v. Solve -z*t**h - 9/4*t - 3/2 = 0.
-2, -1
Let s(c) = 5*c**4 + c**3 - 3*c**2 - c - 1. Let z(j) = 27*j**4 + 411*j**3 - 18*j**2 - 6*j - 6. Let k(i) = 6*s(i) - z(i). What is q in k(q) = 0?
0, 135
Let w(l) = 11*l**2 + 104*l - 97. Let g(h) = h**2 + h - 1. Let y(z) = 3*g(z) - w(z). Let c(f) = -44*f**2 - 556*f + 516. Let j(x) = 5*c(x) - 28*y(x). Factor j(u).
4*(u - 1)*(u + 13)
Suppose -2*u = -3*s - 27, -u + 1012*s = 1017*s + 32. Factor -5/3*r**4 + 0 + 0*r - 20/3*r**u - 5*r**2.
-5*r**2*(r + 1)*(r + 3)/3
Let d be 0/(6 - (-20)/10). Let g(x) be the first derivative of d*x**2 + 1/12*x**3 + 1 + 0*x + 3/16*x**4. What is q in g(q) = 0?
-1/3, 0
Let l(p) = 3*p**3 + 3*p + 37. Let f be l(-5). Let z = f - -1082/3. Solve -1/3 + 8/3*n**4 + z*n**3 - 7/3*n**2 - 16/3*n**5 - 7/3*n = 0.
-1, -1/4, 1
Let f = -9/5039 - -60531/35273. Let g(w) be the second derivative of -1/14*w**4 - f*w**2 + 19*w + 0 - 4/7*w**3. Let g(a) = 0. Calculate a.
-2
Let w(p) be the first derivative of -8*p + 5 + 2/3*p**3 + 3*p**2. Solve w(a) = 0 for a.
-4, 1
Suppose 6047*w + 408 = 6149*w. Solve 175/2*z**2 + 0 + 125/2*z + 55/2*z**3 + 5/2*z**w = 0 for z.
-5, -1, 0
Let u(d) be the first derivative of d**4/72 - 25*d**3/36 - 9*d**2/2 - 99*d + 72. Let c(h) be the first derivative of u(h). Factor c(m).
(m - 27)*(m + 2)/6
Let t be -3*1*(0 + -1). Let a be (1 + 8)/(-1*(-2)/(-6)*-9). Determine n so that -n**t - n**a - 3*n**2 - n**3 = 0.
-1, 0
Let j(h) = -h**3 - 8*h - 17 - 8*h + 27*h - 17*h**2 - 42*h. Let v(w) = 1. Let i(z) = -3*j(z) - 6*v(z). Solve i(u) = 0 for u.
-15, -1
Solve -1750*c**2 + 1751*c**2 - 236 + 344 - 56*c = 0 for c.
2, 54
Suppose 18 = 13*d - 7*d. Suppose 0 = 4*s - l - 2*l - 18, -3*l = d*s - 3. Solve j**3 - 8*j**5 + 4*j**5 + 8*j**5 + 4*j - 9*j**s = 0.
-1, 0, 1
Suppose -532/5*a - 722/5*a**2 - 98/5 = 0. Calculate a.
-7/19
Find a, given that 15869/2*a**4 - 49*a**5 - 49163/2*a**2 - 320912*a**3 + 65286*a + 13122 = 0.
-2/7, 1/2, 81
Let n(q) be the first derivative of -4*q**3/7 - 188*q**2/7 - 1580*q/7 - 2252. Factor n(l).
-4*(l + 5)*(3*l + 79)/7
Let k be (-20)/(-15)*1*60. Determine y, given that 35*y + 91*y - 40 + 44*y**3 - k*y**2 - 48*y**2 - 2*y = 0.
10/11, 1
Let d(z) be the second derivative of -6 - 2/7*z**7 - 63/10*z**5 + 0*z**2 + 23/10*z**6 + 4*z**3 + 3*z + 5*z**4. Factor d(a).
-3*a*(a - 2)**3*(4*a + 1)
Let b(o) = -4*o - 2. Let r be b(-1). Suppose a - 15 = 2*y - 4*y, -3*a = -4*y + 15. Factor -15*i**3 + 12*i**2 + y*i**2 - 7*i**r + 5*i**4 + 4*i**2 - 5*i.
5*i*(i - 1)**3
Let u(v) = -336*v**2 + 1330*v - 1194. Let o(g) = -g**3 - 671*g**2 + 2661*g - 2325. Let b(r) = 4*o(r) - 10*u(r). Factor b(w).
-4*(w - 165)*(w - 2)**2
Suppose 157*k - 149*k - 328 = 0. Factor 21 - 12 - 35*v + 5*v**2 + k - 20.
5*(v - 6)*(v - 1)
Let t(g) = -12*g**3 - 56*g**2 + 81*g + 110. Let c(f) = -34*f**3 - 164*f**2 + 244*f + 332. Let k(b) = 5*c(b) - 14*t(b). Let k(p) = 0. Calculate p.
-20, -1, 3
Let p(h) be the first derivative of h**3/3 + 77*h**2/10 - 82*h/5 - 1622. Factor p(t).
(t - 1)*(5*t + 82)/5
Factor o**4 - 3755*o**3 + 706880*o + 4*o**4 + 442781*o**2 + 260339*o**2.
5*o*(o - 376)**2*(o + 1)
Suppose 2*t + l - 3 = 0, t + l + 0*l = 1. Let x = 140 + 4. Factor x*m**3 + 16*m**2 - 208*m**t - 4 + 68*m - 16*m.
4*(m - 1)*(6*m - 1)**2
Let f(p) = -12*p**2 - 32*p + 205. Let h(q) = 7*q**2 + 16*q - 102. Let m(o) = 3*f(o) + 5*h(o). Find w such that m(w) = 0.
-21, 5
Let u be (0 - (-3)/4)/(2853/15216). Let n(w) be the first derivative of -1/3*w**6 - 23 - 4/3*w**3 + 6/5*w**5 + 3*w**2 - w**u - 2*w. Factor n(c).
-2*(c - 1)**4*(c + 1)
Let o = -51081 + 561907/11. Let q be 1 - ((1 - 1) + -2). Let -8/11 + 2/11*w**q - 10/11*w**2 + o*w = 0. What is w?
1, 2
Let l be 2/6*(14 + 3) - (53 + -49). Solve 53/3*m**2 - 41/6*m**3 - l*m**4 - 1 - 49/6*m = 0 for m.
-6, -1/10, 1
Let z(d) be the third derivative of -d**7/105 - d**6/3 - 21*d**5/5 - 27*d**4 - 99*d**3 - 196*d**2 + 2. Determine w, given that z(w) = 0.
-11, -3
Let r be 8 - (-1 + 0 + 2). Let a be (-756)/108 - (-2 - 10). Factor -3*x**4 + 6 - 6 + 4*x**a + r*x**4.
4*x**4*(x + 1)
Let 486 + 5/6*i**3 + 2448*i + 541/6*i**2 = 0. Calculate i.
-54, -1/5
Let n(f) be the first derivative of -5*f**6/2 + 66*f**5/5 - 27*f**4/2 - 16*f**3 + 69*f**2/2 - 18*f - 1462. Solve n(m) = 0.
-1, 2/5, 1, 3
Let f = -146 - -151. Factor -o**4 + 30*o**2 + 0*o**5 - 396*o + 21*o**4 + 55*o**3 - f*o**5 + 396*o.
-5*o**2*(o - 6)*(o + 1)**2
Let c(a) be the third derivative of a**8/336 - 4*a**7/7 - 61*a**6/20 - 92*a**5/15 - 41*a**4/8 + a**2 + 513*a. Determine d, given that c(d) = 0.
-1, 0, 123
Let b = -787 - -795. Let f be (-6)/2 + (b - (-70)/(-14)). Factor -2/17*g**3 + 10/17*g**2 - 6/17*g + f - 2/17*g**4.
-2*g*(g - 1)**2*(g + 3)/17
Factor 4/5*o**3 - 64/5*o**2 + 0 + 156/5*o.
4*o*(o - 13)*(o - 3)/5
Let v = 21579/5 + -4314. Let r(n) be the second derivative of -14*n - 11/10*n**3 + 0 + 3/20*n**4 + v*n**2. Factor r(o).
3*(o - 3)*(3*o - 2)/5
Let l = 16 - 11. Suppose 4*u + 2 = v, l*u = -v - 1 + 3. Factor 75*r - 7*r + 53*r**2 + 22*r**v + 22*r + 27.
3*(5*r + 3)**2
Let c = 47513/693 - 754/11. Let o(u) be the second derivative of 0*u**6 + 0*u**2 + 0 + 19*u + c*u**7 + 1/9*u**3 - 1/15*u**5 + 0*u**4. Factor o(x).
2*x*(x - 1)**2*(x + 1)**2/3
Let q(y) = 3*y - 3. Let r be q(5). Suppose -6*o - r = -30. Solve -2*s**o + 0 + 0 - 2*s**3 = 0.
0
Let l = -4431 - -4435. Let m(d) be the first derivative of -2*d - 4/3*d**3 + 1/4*d**l + 5/2*d**2 - 19. Factor m(q).
(q - 2)*(q - 1)**2
Suppose -8*g = 140 - 28. Let i(a) = -10 - 19*a**2 + 25*a**2 + a - 18*a. Let m(l) = -13*l**2 + 33*l + 21. Let p(o) = g*i(o) - 6*m(o). Factor p(w).
-2*(w - 7)*(3*w + 1)
Let u(y) be the first derivative of y**3/5 + 90*y**2