.
(q - 2)*(q + 1)*(q + 26)/2
Factor 48/5 - 4*k - 2/5*k**2.
-2*(k - 2)*(k + 12)/5
Suppose 95/2*w**2 + 0*w - 25*w**4 - 5/4*w**5 - 85/4*w**3 + 0 = 0. Calculate w.
-19, -2, 0, 1
Let c be (13915/4)/(-5) - 4/8. Let p = 697 + c. Factor 3/4 - p*h**4 + 0*h**2 + 3/2*h - 3/2*h**3.
-3*(h - 1)*(h + 1)**3/4
Factor 1375*r**3 + 922*r**3 + 2169*r**3 - 8 - 1936*r**4 - 2841*r**2 - 17 + 490*r - 154*r**3.
-(r - 1)**2*(44*r - 5)**2
Let o be ((-2149)/(-2114) - 1)/((-2)/(-4)). Let b = o + 2985/1057. Factor 2/7*h**2 - b*h + 50/7.
2*(h - 5)**2/7
Let t(h) be the first derivative of -h**3/12 + 1679*h**2/4 - 2819041*h/4 + 5797. Solve t(v) = 0 for v.
1679
Let q = -26/5805 - -5857/11610. Suppose 1/4 + q*h + 1/4*h**2 = 0. Calculate h.
-1
Let t(i) = 169*i**2 + 78*i. Let f be t(-3). Let u be 0 + 6/(-16) + f/616. Determine o so that 0*o**3 + 0*o + 0 + u*o**2 - 3/7*o**4 = 0.
-2, 0, 2
Let i(v) be the first derivative of v**6/63 + 2*v**5/35 - 2*v**4/3 + 7924. Solve i(r) = 0 for r.
-7, 0, 4
Let r(m) = -40*m + 484. Let j be r(-13). Suppose 4*c - 1012 = -j. Factor -1/8 - 1/4*h - 1/8*h**c.
-(h + 1)**2/8
Let w = -453 - -478. Let l be 30/w*(28/8 - 3). Factor l*g + 8/5*g**4 - 12/5*g**3 + 1/10*g**2 + 1/10.
(g - 1)**2*(4*g + 1)**2/10
Let u(n) be the third derivative of -n**7/1575 - 49*n**6/900 + 31*n**2 - 30. Factor u(l).
-2*l**3*(l + 49)/15
Let y(l) be the first derivative of -1/22*l**4 - 230 + 0*l + 12/11*l**2 + 8/33*l**3. Suppose y(g) = 0. Calculate g.
-2, 0, 6
Let b be ((-4)/110)/(4/(-264)). Find l such that -2/5 - 12/5*l**3 + b*l - 13/10*l**4 + 17/10*l**2 = 0.
-2, -1, 2/13, 1
Let u(v) be the second derivative of -13/50*v**5 + 0*v**2 - 1/2*v**4 - 2/15*v**3 - 2*v - 59. Suppose u(x) = 0. Calculate x.
-1, -2/13, 0
Let g(l) = -593*l - 590. Let o be g(-1). Factor 178/3*r**2 - 5/3*r**o - 70/3 - 103/3*r.
-(r - 35)*(r - 1)*(5*r + 2)/3
Let v(o) be the second derivative of -o**6/60 - 13*o**5/10 - 121*o**4/4 - 325*o**3/3 - 625*o**2/4 + 3129*o - 2. Factor v(c).
-(c + 1)**2*(c + 25)**2/2
Factor -385*a + 336 - 3*a + 282*a - 2*a**2.
-2*(a - 3)*(a + 56)
Let x(h) be the first derivative of 6*h**6/11 + 782*h**5/55 - 1453*h**4/22 + 36*h**3 + 1108*h**2/11 + 400*h/11 - 3269. Let x(l) = 0. What is l?
-25, -1/2, -2/9, 2
Let m(r) = -12*r**4 + 20*r**3 - 8*r**2 + 8*r - 8. Let d(t) = 2*t**3 - 5*t**2 + 5*t + 21*t**3 - 10*t**3 - 8*t**4 - 5. Let x(q) = 8*d(q) - 5*m(q). Factor x(y).
-4*y**3*(y - 1)
Suppose a - 112 = -2*c, 2*a - 108 = -0*c - 2*c. Suppose -46*d = -62 - 30. Determine k so that -c*k + 109*k - 5*k**d - 36*k = 0.
0, 3
Suppose 21*d = 31*d + 400. Let m(a) = -a**3 - 38*a**2 + 82*a + 83. Let i be m(d). Find j, given that 3/5*j**i + 3/5*j**2 + 0 - 6/5*j = 0.
-2, 0, 1
Let y = 544465/1905554 - 3/272222. Suppose -4*w + y*w**2 + 26/7 = 0. Calculate w.
1, 13
Let g(y) = 5*y**2 - 55*y - 400. Let x(f) = -5*f**2 + 55*f + 400. Let c(n) = 4*g(n) + 5*x(n). Factor c(h).
-5*(h - 16)*(h + 5)
Let c(k) be the first derivative of k**3/6 - 45*k**2/2 - 91*k/2 - 1543. Factor c(w).
(w - 91)*(w + 1)/2
Let m be 44/33*153/68. Let s(z) be the first derivative of 5 + 0*z - 1/36*z**m - 1/60*z**5 + 0*z**2 + 1/24*z**4. Factor s(f).
-f**2*(f - 1)**2/12
Factor -188*n**3 - 17*n**4 + 68*n + 2*n**4 - 8*n - 160*n**2 + 449*n**3 - 146*n**3.
-5*n*(n - 6)*(n - 1)*(3*n - 2)
Let s = -12203 + 976243/80. Let y(v) be the second derivative of -3/16*v**4 + 1/4*v**3 + 0*v**2 - 7*v + 0 + s*v**5. Let y(k) = 0. Calculate k.
0, 1, 2
Suppose -s = 4*i - 117 + 904, -s = i + 778. Let x = 778 + s. Suppose -4/9*r**2 - 4/9 - 2/3*r**x + 14/9*r = 0. What is r?
-2, 1/3, 1
Let m(g) = 32*g**4 - 726*g**3 - 789*g**2 - 31*g + 31. Let t(u) = -u**4 + u**3 + 3*u**2 + u - 1. Let i(r) = -4*m(r) - 124*t(r). Suppose i(f) = 0. Calculate f.
-1, 0, 696
Suppose -266 - 28 = -17*b - 32*b. Factor b*t - 1/3*t**2 - 27.
-(t - 9)**2/3
Let o(z) be the second derivative of -3*z**7/56 + z**6/20 + 81*z**5/40 - 9*z**4/4 - 243*z**3/8 + 243*z**2/4 + 14*z + 64. Solve o(s) = 0 for s.
-3, 2/3, 3
Suppose 63*q - 1058 - 948 = -69*q - 1610. Factor 0*r + 0*r**2 + 15/2*r**4 + 0 + 3/2*r**5 + 9*r**q.
3*r**3*(r + 2)*(r + 3)/2
Let a(x) be the second derivative of -x**5/10 - 10*x**4/3 - 59*x**3/3 + 80*x**2 - 2531*x. Factor a(l).
-2*(l - 1)*(l + 5)*(l + 16)
Let d be (-2080)/(-6300) - 10/225. Let x(h) be the first derivative of -4/7*h**3 - 16/7*h**2 + 10 + d*h**4 - 16/7*h + 4/35*h**5. Solve x(j) = 0.
-2, -1, 2
Let z = -25/78 - -209/1950. Let a = z - -106/75. Find y such that 9/5 + 1/5*y**2 - a*y = 0.
3
Let k(z) be the first derivative of -216/13*z - 8 + 0*z**2 + 174/13*z**3 + 5/39*z**6 + 95/26*z**4 - 106/65*z**5. Solve k(v) = 0.
-1, 3/5, 6
Let y(n) = n**2 - 5*n - 11. Let d(i) = 3*i**2 + 5*i + 5. Let h be d(-2). Let r be y(h). Factor -r*t + 3*t + 0*t + 5*t**5 - 15*t**3 - 10*t**2.
5*t**2*(t - 2)*(t + 1)**2
Let g be 5/((0 - -4)/4). Suppose -g*j + 2*y = y - 221, -3*j + 2*y = -127. What is t in -43*t**2 + j*t**2 - 2*t - 4*t = 0?
0, 3
Let t(y) be the second derivative of -y**7/280 + 3*y**5/40 + y**4/4 - 79*y**3/6 + 54*y. Let k(m) be the second derivative of t(m). Factor k(p).
-3*(p - 2)*(p + 1)**2
Factor -5724*q - 5618 - 1/2*q**3 - 213/2*q**2.
-(q + 1)*(q + 106)**2/2
Let z be (8310/(-24))/((-1920)/1024). Let -2/3*j**4 + 20*j**3 + 520*j - 1352/3 - z*j**2 = 0. What is j?
2, 13
Let f(m) = 11*m**3 - 8*m**2 - 13*m - 7. Let w be f(-3). Let a = 1349/4 + w. Factor a*u - 1/4*u**3 - 3/4 + 3/4*u**2.
-(u - 3)*(u - 1)*(u + 1)/4
Let v(w) be the first derivative of 7*w**4/12 - 5906*w**3/9 + 622450*w**2/3 + 356168*w/3 + 10122. Factor v(j).
(j - 422)**2*(7*j + 2)/3
Let o(i) = i**3 + 2*i - 1. Let a(c) = 5*c**4 + 204*c**3 + 785*c**2 + 948*c + 386. Let q(x) = -a(x) - 6*o(x). Find j, given that q(j) = 0.
-38, -2, -1
Factor -1010/9*i**2 + 128018/9 - 2/9*i**3 - 127006/9*i.
-2*(i - 1)*(i + 253)**2/9
Let s be (3 - 349) + (18/15)/(-3). Let m = s - -348. Let -88/5*l + 242/5*l**2 + m = 0. Calculate l.
2/11
Let b(k) be the third derivative of k**6/240 - 61*k**5/8 - 1839*k**4/16 - 2763*k**3/4 + 9*k**2 + 4*k + 12. Factor b(n).
(n - 921)*(n + 3)**2/2
Let z be (33/6 - 4872/812)*(33/(-2) + 0). Factor z - 2*v - 1/4*v**2.
-(v - 3)*(v + 11)/4
Let s(y) be the second derivative of y**7/42 - 91*y**6/30 + 172*y**5/5 - 506*y**4/3 + 1336*y**3/3 - 664*y**2 + 26*y - 8. Solve s(c) = 0 for c.
2, 83
Let a(i) be the second derivative of i**7/336 + i**6/60 - i**5/160 - i**4/6 - i**3/4 + 14*i + 303. Let a(t) = 0. What is t?
-3, -2, -1, 0, 2
Let z(f) be the second derivative of -3*f**4/4 + 593*f**3/36 + 11*f**2/12 - 8066*f. Factor z(l).
-(l - 11)*(54*l + 1)/6
Suppose -3*v - 32 = -5*f, 5*f - v - 16 = 2*f. Suppose 14 = 5*u - f*l + 6*l, 4 = 5*u - 3*l. Suppose 45/7*o + 27/7 + 3/7*o**3 + 3*o**u = 0. What is o?
-3, -1
Let f be (21/455*13)/((-1)/5*-18). Let q(v) be the first derivative of -1/2*v + 43 - f*v**2 + 1/18*v**3. Determine z, given that q(z) = 0.
-1, 3
Let r = -18/113 + 650/1243. Suppose 30*w - k = 35*w + 3, w + 22*k + 66 = 0. Factor -r*h + w - 2/11*h**2.
-2*h*(h + 2)/11
Let l(b) = -5*b**2 - 11*b**2 + b**3 + b**2 + 2 - 3*b**3 + 3*b**2. Let w be l(-6). Factor 2/5*q**w - 1/5*q + 0.
q*(2*q - 1)/5
Let x = -1212130/3 + 404044. Suppose 20/3*i**2 + 28/3 + 46/3*i + x*i**3 = 0. What is i?
-7, -2, -1
Suppose 35 - 17 = 2*f. Factor -42*v**4 + 70*v**4 + v**2 + 14*v**2 + f*v**2 + 92*v**3.
4*v**2*(v + 3)*(7*v + 2)
Determine r so that -5*r**2 - 174*r**2 - 4802*r + 2*r**3 - 4*r**3 + 8*r**2 - 25*r**2 = 0.
-49, 0
Let p(i) be the first derivative of -40*i**3/3 - 1685*i**2/2 - 1845*i - 6765. Let p(o) = 0. Calculate o.
-41, -9/8
Let g(d) = 6*d**2 - 614*d + 1169. Let v(h) = -69*h**2 + 7062*h - 13449. Let t(s) = 57*g(s) + 5*v(s). Solve t(b) = 0 for b.
2, 102
What is j in 580*j + 593*j - 655 - 95 - 1009*j - 402 - 4*j**2 = 0?
9, 32
Let v(q) = 3*q**2 - 305*q - 2747. Let p be v(110). Suppose -51/4*g + 7/2*g**2 + 0 + 1/4*g**p = 0. What is g?
-17, 0, 3
Let -104*j**3 + 121*j**2 + 516*j**2 + 784 + 333*j**2 + 221*j**2 - 591*j**2 - 1184*j + j**4 = 0. Calculate j.
2, 98
Let j(m) be the first derivative of 6*m**5/95 - 203*m**4/38 + 6358*m**3/57 + 8995*m**2/19 - 14700*m/19 - 6995. Find u such that j(u) = 0.
-3, 2/3, 35
Let n(o) be the second derivative of -o**4/15 + 22*o**3/15 - 48*o**2/5 - 124*o - 12. Factor n(b).
-4*(b - 8)*(b - 3)/5
Suppose 2*f - 4*z - 30 = 0, -4*f - 32*z + 31*z + 6 = 0. Let h(m) be