*m - 1/7*m**4 - 26/7*m**2 + 1/7*m**5 = 0. What is m?
-1, 5
Let m(y) be the third derivative of -9*y**2 + 0 - 1/30*y**6 - 11/15*y**5 - 2*y + 22/3*y**3 + 1/6*y**4. Determine f so that m(f) = 0.
-11, -1, 1
Let k(u) be the first derivative of -3*u**4/4 - 8*u**3/3 - 5*u + 78. Let a(w) = w**2 + 1. Let r(v) = -5*a(v) - k(v). Factor r(j).
3*j**2*(j + 1)
Let b(v) be the first derivative of -195 - 17/16*v**2 - 1/24*v**3 + 9/4*v. Solve b(j) = 0 for j.
-18, 1
Determine t so that 47*t**2 - 36125 + 29*t + 34*t + 36149 + 49*t**2 + 29*t + 28*t**3 = 0.
-2, -1, -3/7
Let 34/9*z**4 + 24*z - 56/9 + 2/3*z**5 - 122/9*z**2 - 26/3*z**3 = 0. Calculate z.
-7, -2, 1/3, 1, 2
Let o(j) be the first derivative of 2*j**6/3 + 124*j**5/5 - 22*j**4 - 19528*j**3/3 + 42*j**2 + 19404*j - 952. Solve o(n) = 0.
-21, -1, 1, 11
Find k, given that 308*k**2 - k**3 + 418*k - k**3 - 77*k**2 + 185*k**2 = 0.
-1, 0, 209
Let v(f) = 19*f**2 + 1970*f - 3920. Let z(k) = 49*k**2 + 3941*k - 7838. Let q(p) = 5*v(p) - 2*z(p). Factor q(u).
-3*(u - 654)*(u - 2)
Find i such that -1/5*i**3 - 114/5*i**2 + 0 - 3249/5*i = 0.
-57, 0
Let n(h) be the second derivative of h**5/70 + 267*h**4/14 + 7619*h**3 - 160801*h**2/7 - 41*h + 9. Find x such that n(x) = 0.
-401, 1
Suppose -2*d - 108 = -2*l + 2*d, 156 = 3*l - 4*d. Suppose u = 5*u - l. Solve 45*p**2 + 3*p**3 + 2*p**3 + 17*p + 38*p + 8 + u - 5*p**4 = 0 for p.
-1, 4
Let c = 1172007/5 - 234399. Suppose 148/5*g - 4/5*g**4 - 36/5*g**3 - 96/5 - c*g**2 = 0. Calculate g.
-8, -3, 1
Let j(b) be the third derivative of -b**7/490 - b**6/5 - 54*b**5/7 - 1100*b**4/7 - 13000*b**3/7 - 1793*b**2. Factor j(w).
-3*(w + 10)**3*(w + 26)/7
Factor 1/3*l**2 + 0 + 55/3*l**3 - 55/3*l - 1/3*l**4.
-l*(l - 55)*(l - 1)*(l + 1)/3
Let k(y) = 3*y**2 + 206*y + 142. Let o be k(-68). Solve -54 - 1/6*z**2 + o*z = 0.
18
Let 10305*h - 5*h**2 - 3505*h - 2710981 + 398981 = 0. Calculate h.
680
Suppose -206*a - 30 = -208*a. Let 3 + 8*l**2 - 33*l**3 + 3 + 28*l + 0 + 6 - a*l**2 = 0. Calculate l.
-2/3, -6/11, 1
Let j(m) be the third derivative of 0 + 6*m**2 - 1/105*m**5 - 4*m + 1/35*m**6 + 2/735*m**7 + 0*m**3 - 1/7*m**4. Find a, given that j(a) = 0.
-6, -1, 0, 1
Let b be -7 - (-7 + -77)/7. Factor b*x**4 - 122*x + 2*x**5 - 16*x**3 - 110 - 128*x**2 + 3*x**4 - 102*x - 19 + 1.
2*(x - 4)*(x + 2)**4
Let o(c) be the second derivative of c**5/4 - 21*c**4/4 - 205*c**3/3 - 264*c**2 + 3*c - 588. Suppose o(i) = 0. Calculate i.
-3, -2, 88/5
What is a in 73/3*a**2 + 0 + 0*a + 1/3*a**3 = 0?
-73, 0
Let d(w) be the third derivative of 0 - 1/40*w**6 - 3/140*w**7 - 4*w**2 + 0*w**3 + 19/40*w**5 + 12*w - 3/8*w**4. Determine f, given that d(f) = 0.
-3, 0, 1/3, 2
Let k be 28/42 + 156/9. Solve 28*n**3 + 3 - k*n**3 - 3 + 5*n**2 + 5*n**4 = 0.
-1, 0
Let z be (-15)/(-2)*184/(-42). Let h = z - -3464/105. Let 0 + h*m**2 - 2/15*m**4 - 2/15*m + 2/15*m**3 = 0. What is m?
-1, 0, 1
Let r = 10326 - 340787/33. Let o = -6/11 - r. Let -2/3*l**2 + 0 - o*l**3 + 0*l = 0. What is l?
-2, 0
Let a = 20009/172 + -6887/86. Factor 5/2*u + 135/4*u**3 + 0 - a*u**2.
5*u*(u - 1)*(27*u - 2)/4
Let h(c) = 10646*c - 63872. Let s be h(6). Find u such that -5 + 1/2*u**s - 7/2*u + 9/2*u**2 + 7/2*u**3 = 0.
-5, -2, -1, 1
Suppose 3657 = 8*z + 3641. Suppose 5*b - l + 3*l = 582, 2*b - 244 = 2*l. Suppose 3 - 4*w**4 + 10*w**z + 122*w - b*w + 2*w**3 - 3 = 0. Calculate w.
-1, -1/2, 0, 2
Let j(i) = 12*i + 468. Let z be j(-39). Let h(m) be the first derivative of 29 + z*m - 5/3*m**3 + 5*m**2. Find b such that h(b) = 0.
0, 2
Factor -679*w + 1553*w - 2248*w - 5*w**2 - 3691*w.
-5*w*(w + 1013)
Let h(z) be the first derivative of -5*z**3/3 - 3*z**2/2 + 8*z - 7. Let x = 16 + -17. Let n(q) = -q**2 - q + 1. Let g(s) = x*h(s) + 6*n(s). Factor g(u).
-(u + 1)*(u + 2)
Let u(k) = 3*k + 54. Let h be u(-15). Factor -36*m**2 + 20 - 33*m + h*m**3 - m**3 + 9*m.
4*(m - 5)*(m + 1)*(2*m - 1)
Let v(b) be the first derivative of 2*b**5/15 - b**4/6 - 2*b**3/9 + b**2/3 - 1246. What is t in v(t) = 0?
-1, 0, 1
Let c be (-6 - (-77)/14)/(287/42 + -7). Suppose -21/2*s**4 + 0 + 0*s + 57/2*s**c + 9*s**2 = 0. Calculate s.
-2/7, 0, 3
Suppose 1441*y - 1433*y = -1664. Let c be (y/153)/(-4) - 6/51. Determine t, given that 2/9*t - 4/9 + c*t**2 = 0.
-2, 1
Let s(r) be the first derivative of -40 - 8/21*r - 44/21*r**2 - 38/21*r**3. Factor s(j).
-2*(3*j + 2)*(19*j + 2)/21
Let p(q) be the second derivative of q**5/90 + 22*q**4/27 + 181*q**3/27 - 182*q**2/3 - 3528*q. Solve p(v) = 0 for v.
-39, -7, 2
Let j = 8602/12885 + -4/4295. Let r = -7/24 + 5/8. Find o such that -2/3*o**2 - j*o**3 + r + 1/3*o**4 + 1/3*o + 1/3*o**5 = 0.
-1, 1
Solve 108*g + 7*g**3 - 3*g**3 + 3*g**3 + 2*g**3 - 5*g**4 + 81*g**2 - g**5 = 0 for g.
-3, 0, 4
Let j(t) be the second derivative of -t**4/42 + 5*t**3/3 + 200*t**2/7 - 188*t - 2. Find h, given that j(h) = 0.
-5, 40
Let w(q) = -82*q**2 + 785*q - 3048. Let c(m) = -33*m**2 + 391*m - 1524. Let g(f) = -5*c(f) + 2*w(f). Find x such that g(x) = 0.
4, 381
Let u(h) be the second derivative of h**4/12 - h**3/2 - 9*h**2/2 + 24*h. Let f be u(6). Factor -21*i**3 - 9*i + 9*i**3 + f*i**2 + 9*i**3 + 3.
-3*(i - 1)**3
Let o = 155522/91 + -11960/7. Factor -2/13*i**2 + o + 4/13*i.
-2*(i - 3)*(i + 1)/13
Find d such that -112/3 - 212/15*d + 2/15*d**3 - 2/3*d**2 = 0.
-5, -4, 14
Let t(x) be the first derivative of 58 + 3/5*x**5 - 3/2*x**4 + 3*x**2 + 9*x - 4*x**3. Factor t(n).
3*(n - 3)*(n - 1)*(n + 1)**2
Determine u so that 13068 - 7920*u - 17/3*u**4 + 1299*u**2 - 19*u**3 - 1/9*u**5 = 0.
-33, 3, 6
Let z = -295 - -298. Factor -19*h**3 - 14*h**5 + 2*h - 27*h**z - 6 + 20*h**2 - 2*h + 10*h - 14*h**3 + 50*h**4.
-2*(h - 1)**4*(7*h + 3)
Let r = -486 + 582. Let u be (1 + (-6)/8)*r/20. Let 0 + u*s**2 + 2/5*s**4 + 8/5*s**3 + 0*s = 0. What is s?
-3, -1, 0
Find b, given that 62/11*b**2 + 640/11 - 2/11*b**3 + 64*b = 0.
-8, -1, 40
Let y(l) be the third derivative of -81*l**7/140 + 297*l**6/40 - 87*l**5/5 + 166*l**4/9 - 32*l**3/3 - 787*l**2 - l. Determine r so that y(r) = 0.
4/9, 6
Let y(x) be the first derivative of -x**4/6 - 10*x**3/9 + 16*x**2/3 + 160*x/3 + 733. What is n in y(n) = 0?
-5, -4, 4
Let d(h) be the second derivative of -h**4/42 + 235*h**3/21 - 234*h**2/7 + 2*h + 36. What is u in d(u) = 0?
1, 234
Suppose -2*p + 2 = 2*g, 0*g - 5 = -g + p. Suppose -m = -g*m - m. Solve m*w**2 - 4 + 3*w**2 + w**2 = 0 for w.
-1, 1
Let y = 1185319 + -1185317. What is j in -1/2*j**5 + 4/3*j**4 + 0 - 1/2*j**3 - 1/3*j**y + 0*j = 0?
-1/3, 0, 1, 2
Factor 438*w**2 + 42815 + 41202 - 50*w**3 - 1566*w + 2*w**4 - 82073.
2*(w - 9)**2*(w - 4)*(w - 3)
Let r = 16727 + -16723. Let p(u) be the first derivative of -9/2*u**r - 17 - 44*u**3 - 76*u**2 - 48*u. Find d such that p(d) = 0.
-6, -2/3
Let j(g) be the second derivative of g**4/4 + 29*g**3/2 - 45*g**2 - 2964*g. Determine p so that j(p) = 0.
-30, 1
Let w = -98 - -302/3. Let j be ((-10)/(-9))/((-210)/(-252)). Factor j*x**5 + 44/3*x**3 - 8*x**4 + 32/3 - w*x**2 - 16*x.
4*(x - 2)**3*(x - 1)*(x + 1)/3
Suppose 0*o - 198 = 2*o. Let n = o + 103. Factor -8*p**2 + 92*p**4 - 47*p**4 + n*p**3 - 41*p**4.
4*p**2*(p - 1)*(p + 2)
Let b(v) = -v**2 + 133*v - 124. Let u(f) = 13*f**2 - 1730*f + 1609. Let m(c) = 27*b(c) + 2*u(c). Factor m(n).
-(n - 130)*(n - 1)
Let u(h) be the first derivative of -700*h**3 + 244*h**2 + 32*h + 6269. Determine c so that u(c) = 0.
-4/75, 2/7
Let q(t) = 8*t**2 + 9 + 5*t + 33*t + 45*t - 10*t. Let b be q(-9). Factor -5/2*s + b*s**2 + 5/6*s**3 - 5/3.
5*(s - 2)*(s + 1)**2/6
Let 0 - 386*y + 824*y**2 + 0 + 18*y**3 + 202*y = 0. Calculate y.
-46, 0, 2/9
Let s(i) be the third derivative of i**6/300 + 37*i**5/200 - 7*i**4/60 - i**2 - 1552*i. Factor s(r).
r*(r + 28)*(4*r - 1)/10
Let u be 298 + -3 + (-3 - -7). Let c = u - 297. Factor -10/17*q + 12/17 + 2/17*q**c.
2*(q - 3)*(q - 2)/17
Let h = 27 - 23. Suppose h*c = -2*b + 12, -b - 9 = 2*c - 3*c. Factor 0*g**4 + 16*g**2 - 68*g + 4*g**c + 72*g + 16*g**4 + 24*g**3.
4*g*(g + 1)**4
Let r be 44/12*105/(-7). Let g(q) = -7*q**2 + 60*q. Let d(h) = 190*h**2 - 1620*h. Let y(b) = r*g(b) - 2*d(b). Find f, given that y(f) = 0.
0, 12
Let f be (5 + -3)/((-4)/18*-3). What is g in 6*g**4 - 182*g**f + g**5 + 2*g**2 + g**5 + 188*g**3 = 0?
-1, 0
Let h be (4 - 6)/(2/19). Let j = h - -22. Find t, given that -j*t**2 + 0*t**2 - 7*t - 8*t = 0.
-5, 0
Solve -71/5*h - 1/5*h**2 + 0 = 