+ 7. Let t(j) = 13*j - 7*j + 1 - 2*j - 5*j. Let v = -38 - -17. Let o(u) = v*t(u) + 3*p(u). Solve o(b) = 0.
-1, 0
Let a(q) be the first derivative of q**6/120 - q**4/24 + 101*q**2/2 - 136. Let n(s) be the second derivative of a(s). Find v such that n(v) = 0.
-1, 0, 1
Let a(q) be the third derivative of 0*q**4 + 0 - 1/252*q**8 + 0*q**5 - 36*q**2 - 16/315*q**7 + 0*q - 8/45*q**6 + 0*q**3. Factor a(w).
-4*w**3*(w + 4)**2/3
Find i, given that -189*i - 60*i**3 - 999/4*i**2 + 0 + 3/4*i**4 = 0.
-3, -1, 0, 84
Let b be 28/(-35) + 68/10. Suppose -5*n + 25 = -3*j, b*n - 2*n - 20 = 3*j. Solve -n*y - 17*y**2 + 5*y + y**3 + 18*y**2 = 0 for y.
-1, 0
Let l(z) be the first derivative of -2*z**3/39 + 2842*z**2/13 - 4038482*z/13 - 6580. Factor l(r).
-2*(r - 1421)**2/13
Suppose 5*o - 50 = -5*q, -3*q + 2*o + 1 = -4. Find c, given that -6 - 3*c**3 + 5*c**3 + 15*c - 6*c - q*c**3 = 0.
-2, 1
Let n(t) be the first derivative of 9*t**4 - 32*t - 124/3*t**3 - 20 + 60*t**2. Factor n(c).
4*(c - 2)*(c - 1)*(9*c - 4)
Let j be (-8437)/6490*(-2)/1. Let 7*h - 49/5 + 1/5*h**3 + j*h**2 = 0. What is h?
-7, 1
Let j(h) be the second derivative of h**5/50 + h**4/10 + 2*h**3/15 - 4026*h. Factor j(o).
2*o*(o + 1)*(o + 2)/5
Let b(k) be the first derivative of -k**3/4 - 12*k**2 - 741*k/4 + 3427. Factor b(y).
-3*(y + 13)*(y + 19)/4
Let y(k) be the first derivative of -k**6/2340 + k**5/60 + 5*k**3/3 + 9*k + 72. Let o(w) be the third derivative of y(w). What is a in o(a) = 0?
0, 13
Let k(h) = 8*h**3 + 14*h**2 - 362*h. Let q(t) = 8*t**3 + 15*t**2 - 363*t. Let p(x) = -3*k(x) + 2*q(x). Find v, given that p(v) = 0.
-15/2, 0, 6
Let g(x) be the second derivative of -x**5/90 + 125*x**4/54 - 122*x**3/27 - 248*x**2/9 - 99*x - 2. Suppose g(a) = 0. What is a?
-1, 2, 124
Let s(t) be the third derivative of -t**6/540 - 4*t**5/135 - 5*t**4/27 - 16*t**3/27 - 154*t**2 + 7. Factor s(x).
-2*(x + 2)**2*(x + 4)/9
Let m(k) be the first derivative of k**6/120 + 3*k**5/4 - 163*k + 326. Let w(a) be the first derivative of m(a). Factor w(g).
g**3*(g + 60)/4
Let z(j) be the second derivative of j**5/50 - 13*j**4/15 + 32*j**3/3 + 2905*j. Factor z(n).
2*n*(n - 16)*(n - 10)/5
Let b(p) = 15*p**3 - 139*p**2 - 23*p + 274. Let l(d) = 7*d**3 - 70*d**2 - 5*d + 138. Let j(q) = -6*b(q) + 13*l(q). Suppose j(n) = 0. Calculate n.
-1, 2, 75
What is c in -66073*c + 131801*c + 2*c**2 + 249218 - 67140*c = 0?
353
Suppose -829 = -5*b - 539. Suppose -24*u + b = 5*u. Suppose 1/4*l**4 - 1/2*l**u - 1/8*l**5 + 1/4 - 1/8*l + 1/4*l**3 = 0. What is l?
-1, 1, 2
Let x be -6*(13 + ((-588)/36 - -3)). Factor -2/9 + 2/9*b**x - b + b**3.
(b - 1)*(b + 1)*(9*b + 2)/9
Let c be (-24)/756*-665 + 2 + 64/(-36). Find l, given that -4*l**3 - 1/3*l**4 - 16*l**2 + 0 - c*l = 0.
-4, 0
Let a be (-3196)/940 + (-16)/(-20)*(-5)/(-1). Suppose 36/5*v + a*v**2 - 39/5 = 0. What is v?
-13, 1
Let l(f) = 26*f**2 - 338*f. Let t be l(13). Let q(g) be the third derivative of -5/3*g**4 + t*g - 32*g**2 + 0 - 3/4*g**5 + 5/6*g**3. Factor q(k).
-5*(k + 1)*(9*k - 1)
Let a(h) be the first derivative of -h**4/2 - 8*h**3/3 - 8631. Determine q, given that a(q) = 0.
-4, 0
Factor 14/11*i**2 - 50/11 - 60/11*i.
2*(i - 5)*(7*i + 5)/11
Let p(i) = -17*i**4 + 158*i**2 + 277*i - 439. Let r(u) = -15*u**4 + 159*u**2 + 276*u - 438. Let c(n) = -6*p(n) + 7*r(n). Solve c(l) = 0.
-6, -3, 1, 8
Let b(q) be the second derivative of -q**6/960 - 7*q**5/480 - q**4/12 - q**3/4 - 26*q**2 - 61*q. Let s(p) be the first derivative of b(p). Solve s(d) = 0.
-3, -2
Let 608*n**3 + 1705*n**2 + 666*n**3 - 168*n**4 - 1100 - 154*n**3 - 25*n**3 - 705*n - 30*n**5 - 77*n**4 = 0. Calculate n.
-11, -1, 5/6, 4
Let n(f) be the second derivative of 115*f + 5/8*f**2 - 1/80*f**5 + 0 - 5/48*f**4 + 1/24*f**3. Factor n(h).
-(h - 1)*(h + 1)*(h + 5)/4
Let x(t) be the first derivative of 66 - 1/3*t**3 - 27*t - 14*t**2. Factor x(n).
-(n + 1)*(n + 27)
Let a(z) = 20*z**2 + 8400*z + 1453264. Let q(o) = 7*o**2 + 2802*o + 484422. Let f(x) = -3*a(x) + 8*q(x). Factor f(y).
-4*(y + 348)**2
Suppose 312*t = 89*t + 351*t + 817*t. Factor 0 + t*o + 2/13*o**4 + 14/13*o**2 + 16/13*o**3.
2*o**2*(o + 1)*(o + 7)/13
Suppose 0 = -4*t - 4*m + 484, -t + 36 = -3*m - 65. Let c = 119 - t. Suppose -8/5*n - 28/5*n**5 + 4*n**4 - 4*n**2 + 36/5*n**c + 0 = 0. What is n?
-1, -2/7, 0, 1
Let x be (-4)/36 - (-275)/495. Let u(q) be the second derivative of 5/3*q**2 + 0 - 30*q + 1/15*q**5 + x*q**3 - 11/18*q**4. Solve u(r) = 0.
-1/2, 1, 5
Let f(z) be the second derivative of -1/98*z**7 - 1/70*z**6 + 3 + 9/70*z**5 + 0*z**4 + 0*z**2 + 0*z**3 - 7*z. Determine x so that f(x) = 0.
-3, 0, 2
Let w be (-128)/105 + (-3264)/(-2448). Let b(h) be the first derivative of -1/7*h**4 - 4/21*h**3 + 2/7*h**2 - 38 + 0*h + w*h**5. Suppose b(x) = 0. Calculate x.
-1, 0, 1
Suppose -3 = -3*h + 21. Suppose -u = 3*u - h. Factor 6*j**5 - 2*j**3 - 2*j**2 + u*j**5 + 2*j**4 - 6*j**5 + 0*j**3.
2*j**2*(j - 1)*(j + 1)**2
Let h be 2 + ((2 - 1)*0 - -3). Determine o so that 48*o + 636*o**3 - 59*o**5 + 11*o**h + 5*o**2 - 42*o**4 - 349*o**2 - 50*o**5 = 0.
-3, 0, 2/7, 2
Suppose 117/4*d**3 - 87/4*d**2 - 3/4*d**5 - 135/2*d + 27/4*d**4 + 54 = 0. Calculate d.
-3, -2, 1, 12
Let k(s) be the first derivative of -1/15*s**3 - 1/10*s**2 + 6/5*s + 55. Determine c so that k(c) = 0.
-3, 2
Determine w, given that -1657*w**3 - 190896*w**2 - 77284 - 218049*w**2 - 5*w**4 - 464260*w - 1129*w**3 + 19188*w**2 = 0.
-278, -1, -1/5
Let i be 636/(-530)*(-10)/4 + 1 + -4. Factor 1/11*y**4 - 5/11*y**3 + 6/11*y**2 + i*y + 0.
y**2*(y - 3)*(y - 2)/11
Let r(z) be the third derivative of -z**7/126 + z**6/360 + z**5/36 - z**4/72 + 342*z**2 - 2*z. Factor r(b).
-b*(b - 1)*(b + 1)*(5*b - 1)/3
Let c(f) be the second derivative of f**4/18 - 634*f**3/3 + 301467*f**2 - f + 9. Find w, given that c(w) = 0.
951
Suppose -69*d = -58*d - 35*d + 48. What is n in -12/11*n**d - 8/11*n + 2/11*n**3 + 1/11*n**4 + 32/11 = 0?
-4, -2, 2
Let o = 1691043949/377456694 - 1/938947. Let k = o - -4/201. Determine b, given that 1/8*b**4 + k*b**2 - 27/4*b + 27/8 - 5/4*b**3 = 0.
1, 3
Let b be 7*(-96)/1764*(-63)/18. Solve -1/3*p**4 - 1/3 - b*p - 2*p**2 - 4/3*p**3 = 0.
-1
Let p(s) be the first derivative of s**4/12 + 41*s**3/3 + 657*s**2/2 + 2835*s - 2126. Factor p(d).
(d + 9)**2*(d + 105)/3
Let a(z) be the third derivative of -z**6/40 - 3*z**5/10 + z**4/8 + 15*z**3 - 39*z**2 + 4*z. Suppose a(g) = 0. What is g?
-5, -3, 2
Let f = -23444 - -23448. Let p(w) be the first derivative of 1/5*w**2 + 3/10*w**f + 4/3*w**3 - 11 - 12/5*w. Factor p(y).
2*(y + 1)*(y + 3)*(3*y - 2)/5
Let w(i) be the first derivative of 2*i**3/33 + 7022*i**2/11 + 24654242*i/11 - 11794. Factor w(f).
2*(f + 3511)**2/11
Let h(k) be the second derivative of 7*k**5/4 + 325*k**4/12 + 731*k. Let h(r) = 0. Calculate r.
-65/7, 0
Suppose -57*b - 88 = -61*b + 4*l, 3*l = -b - 26. Find v, given that -905/4*v**3 - b + 225/4*v**4 + 5*v + 455/2*v**2 = 0.
-1/5, 2/9, 2
Suppose -25 = 4*v + v. Let m = v + 10. Factor -7 - 8 + 20*x**2 - 15*x - m*x**3 + 15.
-5*x*(x - 3)*(x - 1)
Let a(r) be the first derivative of -r**4/12 - 7*r**3/9 + 17*r**2/3 + 40*r/3 + 162. Solve a(k) = 0.
-10, -1, 4
Factor 0 + 531/4*d + 3/4*d**2.
3*d*(d + 177)/4
Let m(q) be the second derivative of q**5/5 + 43*q**4 + 3698*q**3 + 159014*q**2 + 898*q. Solve m(r) = 0.
-43
Factor 483*b - 165*b**2 - 30*b**2 + 3*b**3 - 38*b**2 - 390 + 137*b**2.
3*(b - 26)*(b - 5)*(b - 1)
Let z(s) = -3*s - 36. Let p be z(-13). Determine v, given that v**p - 1462*v + 2817 - 6*v**3 - 1163*v - 240*v**2 + 3433 = 0.
-25, 2
Suppose -30339*r = -30347*r + 16. Let j(b) be the first derivative of -9/2*b**r + 3/4*b**4 + 0*b + 12 + 2*b**3. Factor j(h).
3*h*(h - 1)*(h + 3)
Suppose 5*v - 29*v - 45 = -165. Let t(n) be the third derivative of -1/3*n**4 - 6*n**2 + 0 - 1/30*n**v + 0*n**3 + 0*n. Factor t(b).
-2*b*(b + 4)
Let f be 12/(-38) - 684/23104*-112. Let 18/7*c**5 - 16/7*c**2 + 2/7*c + 0 + 44/7*c**f - 48/7*c**4 = 0. What is c?
0, 1/3, 1
Let a(z) be the second derivative of 0*z**3 + 2 + 1/15*z**6 + 0*z**2 + 3/5*z**5 + 4/3*z**4 + 36*z. Factor a(b).
2*b**2*(b + 2)*(b + 4)
Let 4/5*v**2 + 448/5 + 92/5*v = 0. What is v?
-16, -7
Let b(a) be the first derivative of a**6/24 + a**5/4 - 5*a**4/6 + 19*a**2/2 - 16. Let p(s) be the second derivative of b(s). Factor p(k).
5*k*(k - 1)*(k + 4)
Let o(s) be the firs